some inkspace pictures

This commit is contained in:
Maria Marchwicka 2019-05-29 20:16:51 +02:00
parent dfd306f753
commit d62b96a337
10 changed files with 2355 additions and 0 deletions

Binary file not shown.

Before

Width:  |  Height:  |  Size: 1.2 KiB

After

Width:  |  Height:  |  Size: 3.6 KiB

Binary file not shown.

Before

Width:  |  Height:  |  Size: 967 B

After

Width:  |  Height:  |  Size: 4.2 KiB

Binary file not shown.

Before

Width:  |  Height:  |  Size: 1.2 KiB

After

Width:  |  Height:  |  Size: 4.0 KiB

824
images/ball_4_v1.svg Normal file
View File

@ -0,0 +1,824 @@
<?xml version="1.0" encoding="UTF-8" standalone="no"?>
<!-- Created with Inkscape (http://www.inkscape.org/) -->
<svg
xmlns:osb="http://www.openswatchbook.org/uri/2009/osb"
xmlns:dc="http://purl.org/dc/elements/1.1/"
xmlns:cc="http://creativecommons.org/ns#"
xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#"
xmlns:svg="http://www.w3.org/2000/svg"
xmlns="http://www.w3.org/2000/svg"
xmlns:sodipodi="http://sodipodi.sourceforge.net/DTD/sodipodi-0.dtd"
xmlns:inkscape="http://www.inkscape.org/namespaces/inkscape"
width="210mm"
height="297mm"
viewBox="0 0 744.09448819 1052.3622047"
id="svg2"
version="1.1"
inkscape:version="0.91 r13725"
sodipodi:docname="ball_4_v1.svg">
<defs
id="defs4">
<marker
inkscape:stockid="DotS"
orient="auto"
refY="0.0"
refX="0.0"
id="marker11429"
style="overflow:visible"
inkscape:isstock="true">
<path
id="path11431"
d="M -2.5,-1.0 C -2.5,1.7600000 -4.7400000,4.0 -7.5,4.0 C -10.260000,4.0 -12.5,1.7600000 -12.5,-1.0 C -12.5,-3.7600000 -10.260000,-6.0 -7.5,-6.0 C -4.7400000,-6.0 -2.5,-3.7600000 -2.5,-1.0 z "
style="fill-rule:evenodd;stroke:#fc0000;stroke-width:1pt;stroke-opacity:0.9807692;fill:#fc0000;fill-opacity:0.9807692"
transform="scale(0.2) translate(7.4, 1)" />
</marker>
<marker
inkscape:stockid="DotS"
orient="auto"
refY="0.0"
refX="0.0"
id="marker10933"
style="overflow:visible"
inkscape:isstock="true">
<path
id="path10935"
d="M -2.5,-1.0 C -2.5,1.7600000 -4.7400000,4.0 -7.5,4.0 C -10.260000,4.0 -12.5,1.7600000 -12.5,-1.0 C -12.5,-3.7600000 -10.260000,-6.0 -7.5,-6.0 C -4.7400000,-6.0 -2.5,-3.7600000 -2.5,-1.0 z "
style="fill-rule:evenodd;stroke:#fc0000;stroke-width:1pt;stroke-opacity:0.9807692;fill:#fc0000;fill-opacity:0.9807692"
transform="scale(0.2) translate(7.4, 1)" />
</marker>
<marker
inkscape:stockid="DotS"
orient="auto"
refY="0.0"
refX="0.0"
id="marker10449"
style="overflow:visible"
inkscape:isstock="true">
<path
id="path10451"
d="M -2.5,-1.0 C -2.5,1.7600000 -4.7400000,4.0 -7.5,4.0 C -10.260000,4.0 -12.5,1.7600000 -12.5,-1.0 C -12.5,-3.7600000 -10.260000,-6.0 -7.5,-6.0 C -4.7400000,-6.0 -2.5,-3.7600000 -2.5,-1.0 z "
style="fill-rule:evenodd;stroke:#fc0000;stroke-width:1pt;stroke-opacity:0.9807692;fill:#fc0000;fill-opacity:0.9807692"
transform="scale(0.2) translate(7.4, 1)" />
</marker>
<marker
inkscape:stockid="StopM"
orient="auto"
refY="0.0"
refX="0.0"
id="StopM"
style="overflow:visible"
inkscape:isstock="true">
<path
id="path6505"
d="M 0.0,5.65 L 0.0,-5.65"
style="fill:none;fill-opacity:0.75;fill-rule:evenodd;stroke:#fc0000;stroke-width:1pt;stroke-opacity:0.9807692"
transform="scale(0.4)" />
</marker>
<marker
inkscape:stockid="DotS"
orient="auto"
refY="0.0"
refX="0.0"
id="marker9447"
style="overflow:visible"
inkscape:isstock="true">
<path
id="path9449"
d="M -2.5,-1.0 C -2.5,1.7600000 -4.7400000,4.0 -7.5,4.0 C -10.260000,4.0 -12.5,1.7600000 -12.5,-1.0 C -12.5,-3.7600000 -10.260000,-6.0 -7.5,-6.0 C -4.7400000,-6.0 -2.5,-3.7600000 -2.5,-1.0 z "
style="fill-rule:evenodd;stroke:#fc0000;stroke-width:1pt;stroke-opacity:0.9807692;fill:#fc0000;fill-opacity:0.9807692"
transform="scale(0.2) translate(7.4, 1)" />
</marker>
<marker
inkscape:stockid="StopL"
orient="auto"
refY="0.0"
refX="0.0"
id="StopL"
style="overflow:visible"
inkscape:isstock="true">
<path
id="path6502"
d="M 0.0,5.65 L 0.0,-5.65"
style="fill:none;fill-opacity:0.75;fill-rule:evenodd;stroke:#fc0000;stroke-width:1pt;stroke-opacity:0.9807692"
transform="scale(0.8)" />
</marker>
<marker
style="overflow:visible"
id="DistanceStart"
refX="0.0"
refY="0.0"
orient="auto"
inkscape:stockid="DistanceStart"
inkscape:isstock="true">
<g
id="g2300"
style="stroke:#fc0000;stroke-opacity:0.9807692;fill:#fc0000;fill-opacity:0.9807692">
<path
style="fill:#fc0000;stroke:#fc0000;stroke-width:1.15;stroke-linecap:square;stroke-opacity:0.9807692;fill-opacity:0.9807692"
d="M 0,0 L 2,0"
id="path2306" />
<path
style="fill:#fc0000;fill-rule:evenodd;stroke:#fc0000;stroke-opacity:0.9807692;fill-opacity:0.9807692"
d="M 0,0 L 13,4 L 9,0 13,-4 L 0,0 z "
id="path2302" />
<path
style="fill:#fc0000;stroke:#fc0000;stroke-width:1;stroke-linecap:square;stroke-opacity:0.9807692;fill-opacity:0.9807692"
d="M 0,-4 L 0,40"
id="path2304" />
</g>
</marker>
<marker
inkscape:stockid="SquareS"
orient="auto"
refY="0.0"
refX="0.0"
id="SquareS"
style="overflow:visible"
inkscape:isstock="true">
<path
id="path6409"
d="M -5.0,-5.0 L -5.0,5.0 L 5.0,5.0 L 5.0,-5.0 L -5.0,-5.0 z "
style="fill-rule:evenodd;stroke:#fc0000;stroke-width:1pt;stroke-opacity:0.9807692;fill:#fc0000;fill-opacity:0.9807692"
transform="scale(0.2)" />
</marker>
<marker
inkscape:stockid="DotS"
orient="auto"
refY="0.0"
refX="0.0"
id="DotS"
style="overflow:visible"
inkscape:isstock="true">
<path
id="path6400"
d="M -2.5,-1.0 C -2.5,1.7600000 -4.7400000,4.0 -7.5,4.0 C -10.260000,4.0 -12.5,1.7600000 -12.5,-1.0 C -12.5,-3.7600000 -10.260000,-6.0 -7.5,-6.0 C -4.7400000,-6.0 -2.5,-3.7600000 -2.5,-1.0 z "
style="fill-rule:evenodd;stroke:#fc0000;stroke-width:1pt;stroke-opacity:0.9807692;fill:#fc0000;fill-opacity:0.9807692"
transform="scale(0.2) translate(7.4, 1)" />
</marker>
<marker
inkscape:stockid="DotM"
orient="auto"
refY="0.0"
refX="0.0"
id="DotM"
style="overflow:visible"
inkscape:isstock="true">
<path
id="path6397"
d="M -2.5,-1.0 C -2.5,1.7600000 -4.7400000,4.0 -7.5,4.0 C -10.260000,4.0 -12.5,1.7600000 -12.5,-1.0 C -12.5,-3.7600000 -10.260000,-6.0 -7.5,-6.0 C -4.7400000,-6.0 -2.5,-3.7600000 -2.5,-1.0 z "
style="fill-rule:evenodd;stroke:#fc0000;stroke-width:1pt;stroke-opacity:0.9807692;fill:#fc0000;fill-opacity:0.9807692"
transform="scale(0.4) translate(7.4, 1)" />
</marker>
<marker
inkscape:stockid="Arrow2Send"
orient="auto"
refY="0.0"
refX="0.0"
id="Arrow2Send"
style="overflow:visible;"
inkscape:isstock="true">
<path
id="path6366"
style="fill-rule:evenodd;stroke-width:0.625;stroke-linejoin:round;stroke:#fc0000;stroke-opacity:0.9807692;fill:#fc0000;fill-opacity:0.9807692"
d="M 8.7185878,4.0337352 L -2.2072895,0.016013256 L 8.7185884,-4.0017078 C 6.9730900,-1.6296469 6.9831476,1.6157441 8.7185878,4.0337352 z "
transform="scale(0.3) rotate(180) translate(-2.3,0)" />
</marker>
<marker
inkscape:stockid="DotL"
orient="auto"
refY="0.0"
refX="0.0"
id="DotL"
style="overflow:visible"
inkscape:isstock="true">
<path
id="path6394"
d="M -2.5,-1.0 C -2.5,1.7600000 -4.7400000,4.0 -7.5,4.0 C -10.260000,4.0 -12.5,1.7600000 -12.5,-1.0 C -12.5,-3.7600000 -10.260000,-6.0 -7.5,-6.0 C -4.7400000,-6.0 -2.5,-3.7600000 -2.5,-1.0 z "
style="fill-rule:evenodd;stroke:#fc0000;stroke-width:1pt;stroke-opacity:0.9807692;fill:#fc0000;fill-opacity:0.9807692"
transform="scale(0.8) translate(7.4, 1)" />
</marker>
<linearGradient
id="linearGradient6028"
osb:paint="solid">
<stop
style="stop-color:#ffffff;stop-opacity:1;"
offset="0"
id="stop6030" />
</linearGradient>
<marker
inkscape:isstock="true"
style="overflow:visible;"
id="marker9485"
refX="0.0"
refY="0.0"
orient="auto"
inkscape:stockid="Arrow1Send">
<path
transform="scale(0.2) rotate(180) translate(6,0)"
style="fill-rule:evenodd;stroke:#00d800;stroke-width:1pt;stroke-opacity:1;fill:#00d800;fill-opacity:1"
d="M 0.0,0.0 L 5.0,-5.0 L -12.5,0.0 L 5.0,5.0 L 0.0,0.0 z "
id="path9487" />
</marker>
<marker
inkscape:stockid="Arrow1Send"
orient="auto"
refY="0.0"
refX="0.0"
id="Arrow1Send"
style="overflow:visible;"
inkscape:isstock="true">
<path
id="path4342"
d="M 0.0,0.0 L 5.0,-5.0 L -12.5,0.0 L 5.0,5.0 L 0.0,0.0 z "
style="fill-rule:evenodd;stroke:#fc0000;stroke-width:1pt;stroke-opacity:0.9807692;fill:#fc0000;fill-opacity:0.9807692"
transform="scale(0.2) rotate(180) translate(6,0)" />
</marker>
<marker
inkscape:isstock="true"
style="overflow:visible"
id="marker8725"
refX="0.0"
refY="0.0"
orient="auto"
inkscape:stockid="Arrow1Sstart">
<path
transform="scale(0.2) translate(6,0)"
style="fill-rule:evenodd;stroke:#00d800;stroke-width:1pt;stroke-opacity:1;fill:#00d800;fill-opacity:1"
d="M 0.0,0.0 L 5.0,-5.0 L -12.5,0.0 L 5.0,5.0 L 0.0,0.0 z "
id="path8727" />
</marker>
<marker
inkscape:stockid="Arrow1Sstart"
orient="auto"
refY="0.0"
refX="0.0"
id="marker8511"
style="overflow:visible"
inkscape:isstock="true">
<path
id="path8513"
d="M 0.0,0.0 L 5.0,-5.0 L -12.5,0.0 L 5.0,5.0 L 0.0,0.0 z "
style="fill-rule:evenodd;stroke:#00d800;stroke-width:1pt;stroke-opacity:1;fill:#00d800;fill-opacity:1"
transform="scale(0.2) translate(6,0)" />
</marker>
<marker
inkscape:isstock="true"
style="overflow:visible"
id="marker8333"
refX="0.0"
refY="0.0"
orient="auto"
inkscape:stockid="Arrow1Sstart">
<path
transform="scale(0.2) translate(6,0)"
style="fill-rule:evenodd;stroke:#00d800;stroke-width:1pt;stroke-opacity:1;fill:#00d800;fill-opacity:1"
d="M 0.0,0.0 L 5.0,-5.0 L -12.5,0.0 L 5.0,5.0 L 0.0,0.0 z "
id="path8335" />
</marker>
<marker
inkscape:stockid="Arrow1Sstart"
orient="auto"
refY="0.0"
refX="0.0"
id="marker7839"
style="overflow:visible"
inkscape:isstock="true">
<path
id="path7841"
d="M 0.0,0.0 L 5.0,-5.0 L -12.5,0.0 L 5.0,5.0 L 0.0,0.0 z "
style="fill-rule:evenodd;stroke:#00d800;stroke-width:1pt;stroke-opacity:1;fill:#00d800;fill-opacity:1"
transform="scale(0.2) translate(6,0)" />
</marker>
<marker
inkscape:stockid="Arrow1Sstart"
orient="auto"
refY="0.0"
refX="0.0"
id="marker7685"
style="overflow:visible"
inkscape:isstock="true">
<path
id="path7687"
d="M 0.0,0.0 L 5.0,-5.0 L -12.5,0.0 L 5.0,5.0 L 0.0,0.0 z "
style="fill-rule:evenodd;stroke:#00d800;stroke-width:1pt;stroke-opacity:1;fill:#00d800;fill-opacity:1"
transform="scale(0.2) translate(6,0)" />
</marker>
<marker
inkscape:stockid="Arrow1Sstart"
orient="auto"
refY="0.0"
refX="0.0"
id="marker7537"
style="overflow:visible"
inkscape:isstock="true">
<path
id="path7539"
d="M 0.0,0.0 L 5.0,-5.0 L -12.5,0.0 L 5.0,5.0 L 0.0,0.0 z "
style="fill-rule:evenodd;stroke:#e30000;stroke-width:1pt;stroke-opacity:1;fill:#e30000;fill-opacity:1"
transform="scale(0.2) translate(6,0)" />
</marker>
<marker
inkscape:stockid="Arrow1Sstart"
orient="auto"
refY="0.0"
refX="0.0"
id="marker7475"
style="overflow:visible"
inkscape:isstock="true">
<path
id="path7477"
d="M 0.0,0.0 L 5.0,-5.0 L -12.5,0.0 L 5.0,5.0 L 0.0,0.0 z "
style="fill-rule:evenodd;stroke:#00d800;stroke-width:1pt;stroke-opacity:1;fill:#00d800;fill-opacity:1"
transform="scale(0.2) translate(6,0)" />
</marker>
<marker
inkscape:isstock="true"
style="overflow:visible"
id="marker7191"
refX="0.0"
refY="0.0"
orient="auto"
inkscape:stockid="Arrow1Sstart">
<path
transform="scale(0.2) translate(6,0)"
style="fill-rule:evenodd;stroke:#00d800;stroke-width:1pt;stroke-opacity:1;fill:#00d800;fill-opacity:1"
d="M 0.0,0.0 L 5.0,-5.0 L -12.5,0.0 L 5.0,5.0 L 0.0,0.0 z "
id="path7193" />
</marker>
<marker
inkscape:stockid="Arrow2Mend"
orient="auto"
refY="0.0"
refX="0.0"
id="marker6495"
style="overflow:visible;"
inkscape:isstock="true">
<path
id="path6497"
style="fill-rule:evenodd;stroke-width:0.625;stroke-linejoin:round;stroke:#e30000;stroke-opacity:1;fill:#e30000;fill-opacity:1"
d="M 8.7185878,4.0337352 L -2.2072895,0.016013256 L 8.7185884,-4.0017078 C 6.9730900,-1.6296469 6.9831476,1.6157441 8.7185878,4.0337352 z "
transform="scale(0.6) rotate(180) translate(0,0)" />
</marker>
<marker
inkscape:stockid="Arrow1Sstart"
orient="auto"
refY="0.0"
refX="0.0"
id="Arrow1Sstart"
style="overflow:visible"
inkscape:isstock="true">
<path
id="path4339"
d="M 0.0,0.0 L 5.0,-5.0 L -12.5,0.0 L 5.0,5.0 L 0.0,0.0 z "
style="fill-rule:evenodd;stroke:#00d800;stroke-width:1pt;stroke-opacity:1;fill:#00d800;fill-opacity:1"
transform="scale(0.2) translate(6,0)" />
</marker>
<marker
inkscape:stockid="Arrow1Sstart"
orient="auto"
refY="0.0"
refX="0.0"
id="marker6279"
style="overflow:visible"
inkscape:isstock="true">
<path
id="path6281"
d="M 0.0,0.0 L 5.0,-5.0 L -12.5,0.0 L 5.0,5.0 L 0.0,0.0 z "
style="fill-rule:evenodd;stroke:#00d800;stroke-width:1pt;stroke-opacity:1;fill:#00d800;fill-opacity:1"
transform="scale(0.2) translate(6,0)" />
</marker>
<marker
inkscape:stockid="Arrow1Sstart"
orient="auto"
refY="0.0"
refX="0.0"
id="marker6149"
style="overflow:visible"
inkscape:isstock="true">
<path
id="path6151"
d="M 0.0,0.0 L 5.0,-5.0 L -12.5,0.0 L 5.0,5.0 L 0.0,0.0 z "
style="fill-rule:evenodd;stroke:#e30000;stroke-width:1pt;stroke-opacity:1;fill:#e30000;fill-opacity:1"
transform="scale(0.2) translate(6,0)" />
</marker>
<marker
inkscape:stockid="Arrow1Sstart"
orient="auto"
refY="0.0"
refX="0.0"
id="marker6049"
style="overflow:visible"
inkscape:isstock="true">
<path
id="path6051"
d="M 0.0,0.0 L 5.0,-5.0 L -12.5,0.0 L 5.0,5.0 L 0.0,0.0 z "
style="fill-rule:evenodd;stroke:#fc0000;stroke-width:1pt;stroke-opacity:0.9807692;fill:#fc0000;fill-opacity:0.9807692"
transform="scale(0.2) translate(6,0)" />
</marker>
<marker
inkscape:stockid="Arrow1Sstart"
orient="auto"
refY="0.0"
refX="0.0"
id="marker5867"
style="overflow:visible"
inkscape:isstock="true">
<path
id="path5869"
d="M 0.0,0.0 L 5.0,-5.0 L -12.5,0.0 L 5.0,5.0 L 0.0,0.0 z "
style="fill-rule:evenodd;stroke:#00d800;stroke-width:1pt;stroke-opacity:1;fill:#00d800;fill-opacity:1"
transform="scale(0.2) translate(6,0)" />
</marker>
<marker
inkscape:isstock="true"
style="overflow:visible"
id="marker5529"
refX="0.0"
refY="0.0"
orient="auto"
inkscape:stockid="Arrow1Sstart">
<path
transform="scale(0.2) translate(6,0)"
style="fill-rule:evenodd;stroke:#00d800;stroke-width:1pt;stroke-opacity:1;fill:#00d800;fill-opacity:1"
d="M 0.0,0.0 L 5.0,-5.0 L -12.5,0.0 L 5.0,5.0 L 0.0,0.0 z "
id="path5531" />
</marker>
<marker
inkscape:isstock="true"
style="overflow:visible"
id="marker5441"
refX="0.0"
refY="0.0"
orient="auto"
inkscape:stockid="Arrow1Sstart">
<path
transform="scale(0.2) translate(6,0)"
style="fill-rule:evenodd;stroke:#e30000;stroke-width:1pt;stroke-opacity:1;fill:#e30000;fill-opacity:1"
d="M 0.0,0.0 L 5.0,-5.0 L -12.5,0.0 L 5.0,5.0 L 0.0,0.0 z "
id="path5443" />
</marker>
<marker
inkscape:stockid="Arrow1Sstart"
orient="auto"
refY="0.0"
refX="0.0"
id="marker4911"
style="overflow:visible"
inkscape:isstock="true">
<path
id="path4913"
d="M 0.0,0.0 L 5.0,-5.0 L -12.5,0.0 L 5.0,5.0 L 0.0,0.0 z "
style="fill-rule:evenodd;stroke:#e30000;stroke-width:1pt;stroke-opacity:1;fill:#e30000;fill-opacity:1"
transform="scale(0.2) translate(6,0)" />
</marker>
<marker
inkscape:stockid="Arrow2Mend"
orient="auto"
refY="0.0"
refX="0.0"
id="Arrow2Mend"
style="overflow:visible;"
inkscape:isstock="true">
<path
id="path4354"
style="fill-rule:evenodd;stroke-width:0.625;stroke-linejoin:round;stroke:#00d800;stroke-opacity:1;fill:#00d800;fill-opacity:1"
d="M 8.7185878,4.0337352 L -2.2072895,0.016013256 L 8.7185884,-4.0017078 C 6.9730900,-1.6296469 6.9831476,1.6157441 8.7185878,4.0337352 z "
transform="scale(0.6) rotate(180) translate(0,0)" />
</marker>
<marker
inkscape:stockid="Arrow2Mstart"
orient="auto"
refY="0.0"
refX="0.0"
id="marker4699"
style="overflow:visible"
inkscape:isstock="true">
<path
id="path4701"
style="fill-rule:evenodd;stroke-width:0.625;stroke-linejoin:round;stroke:#00d800;stroke-opacity:1;fill:#00d800;fill-opacity:1"
d="M 8.7185878,4.0337352 L -2.2072895,0.016013256 L 8.7185884,-4.0017078 C 6.9730900,-1.6296469 6.9831476,1.6157441 8.7185878,4.0337352 z "
transform="scale(0.6) translate(0,0)" />
</marker>
<marker
inkscape:stockid="Arrow2Mstart"
orient="auto"
refY="0.0"
refX="0.0"
id="Arrow2Mstart"
style="overflow:visible"
inkscape:isstock="true">
<path
id="path4351"
style="fill-rule:evenodd;stroke-width:0.625;stroke-linejoin:round;stroke:#00d800;stroke-opacity:1;fill:#00d800;fill-opacity:1"
d="M 8.7185878,4.0337352 L -2.2072895,0.016013256 L 8.7185884,-4.0017078 C 6.9730900,-1.6296469 6.9831476,1.6157441 8.7185878,4.0337352 z "
transform="scale(0.6) translate(0,0)" />
</marker>
<marker
inkscape:stockid="Arrow1Mstart"
orient="auto"
refY="0.0"
refX="0.0"
id="Arrow1Mstart"
style="overflow:visible"
inkscape:isstock="true">
<path
id="path4333"
d="M 0.0,0.0 L 5.0,-5.0 L -12.5,0.0 L 5.0,5.0 L 0.0,0.0 z "
style="fill-rule:evenodd;stroke:#00d800;stroke-width:1pt;stroke-opacity:1;fill:#00d800;fill-opacity:1"
transform="scale(0.4) translate(10,0)" />
</marker>
<marker
inkscape:stockid="Arrow1Lstart"
orient="auto"
refY="0.0"
refX="0.0"
id="Arrow1Lstart"
style="overflow:visible"
inkscape:isstock="true">
<path
id="path4327"
d="M 0.0,0.0 L 5.0,-5.0 L -12.5,0.0 L 5.0,5.0 L 0.0,0.0 z "
style="fill-rule:evenodd;stroke:#00d800;stroke-width:1pt;stroke-opacity:1;fill:#00d800;fill-opacity:1"
transform="scale(0.8) translate(12.5,0)" />
</marker>
<marker
inkscape:stockid="Arrow1Lend"
orient="auto"
refY="0.0"
refX="0.0"
id="Arrow1Lend"
style="overflow:visible;"
inkscape:isstock="true">
<path
id="path4330"
d="M 0.0,0.0 L 5.0,-5.0 L -12.5,0.0 L 5.0,5.0 L 0.0,0.0 z "
style="fill-rule:evenodd;stroke:#00d800;stroke-width:1pt;stroke-opacity:1;fill:#00d800;fill-opacity:1"
transform="scale(0.8) rotate(180) translate(12.5,0)" />
</marker>
<pattern
patternUnits="userSpaceOnUse"
width="138.10021"
height="139.11037"
patternTransform="translate(168.84081,1754.5635)"
id="pattern6034">
<ellipse
ry="67.491684"
rx="66.986603"
cy="69.555183"
cx="69.050102"
id="path3482"
style="fill:none;fill-opacity:1;stroke:#00ef00;stroke-width:4.12699986;stroke-linejoin:bevel;stroke-miterlimit:4;stroke-dasharray:none;stroke-opacity:1" />
</pattern>
</defs>
<sodipodi:namedview
id="base"
pagecolor="#ffffff"
bordercolor="#666666"
borderopacity="1.0"
inkscape:pageopacity="0.0"
inkscape:pageshadow="2"
inkscape:zoom="0.91545961"
inkscape:cx="352.42389"
inkscape:cy="810.24624"
inkscape:document-units="px"
inkscape:current-layer="layer1"
showgrid="false"
inkscape:window-width="1386"
inkscape:window-height="855"
inkscape:window-x="0"
inkscape:window-y="1"
inkscape:window-maximized="1"
inkscape:snap-global="true"
inkscape:snap-nodes="false" />
<metadata
id="metadata7">
<rdf:RDF>
<cc:Work
rdf:about="">
<dc:format>image/svg+xml</dc:format>
<dc:type
rdf:resource="http://purl.org/dc/dcmitype/StillImage" />
<dc:title></dc:title>
</cc:Work>
</rdf:RDF>
</metadata>
<g
inkscape:label="Layer 1"
inkscape:groupmode="layer"
id="layer1">
<path
style="fill:none;fill-opacity:0.03276714;stroke:#e86200;stroke-width:4.10533857;stroke-linejoin:bevel;stroke-miterlimit:4;stroke-dasharray:none;stroke-opacity:1"
d="m 949.56479,1396.7109 c 3.46665,2.894 6.60268,6.064 9.35673,9.4672 2.75405,3.4032 5.12614,7.0395 7.06488,10.8661 1.93874,3.8266 3.44416,7.8434 4.46488,12.0077 1.02072,4.1642 1.55676,8.4758 1.55676,12.892 0,8.8323 -2.14417,17.2465 -6.02167,24.8997 -3.87749,7.6531 -9.48829,14.5452 -16.42159,20.3333 -6.93332,5.788 -15.1891,10.472 -24.35651,13.7091 -9.1674,3.237 -19.24644,5.027 -29.82629,5.027 -10.57984,0 -20.6589,-1.79 -29.8263,-5.027 -9.16743,-3.237 -17.4232,-7.921 -24.35649,-13.7091 -6.93327,-5.7881 -12.54407,-12.6802 -16.42158,-20.3333 -3.87749,-7.6532 -6.02167,-16.0674 -6.02168,-24.8997 0,-8.8323 2.14416,-17.2466 6.02165,-24.8997 3.87749,-7.6531 9.4883,-14.5453 16.4216,-20.3333 6.93332,-5.788 15.18911,-10.4721 24.35651,-13.7092 9.1674,-3.2369 19.24645,-5.027 29.82629,-5.027 5.28993,0 10.45465,0.4475 15.44281,1.2996 4.98819,0.8521 9.7998,2.1089 14.3835,3.7274 4.58372,1.6186 8.93951,3.5988 13.01604,5.898"
id="path3480"
inkscape:connector-curvature="0"
sodipodi:nodetypes="cssssssssssssssssssc"
inkscape:export-filename="/Users/Kasia/lectures_on_knot_theory/images/Hopf.png"
inkscape:export-xdpi="90"
inkscape:export-ydpi="90" />
<path
sodipodi:nodetypes="ssssssss"
inkscape:connector-curvature="0"
id="path6041"
d="m 1174.1448,1234.3679 c 0,16.3937 -6.4347,31.2354 -16.8382,41.9786 -10.4036,10.7433 -24.7759,17.3881 -40.6512,17.3881 -15.8752,0 -30.2476,-6.6448 -40.6511,-17.3881 -10.4035,-10.7432 -16.8383,-25.5849 -16.8383,-41.9786 0,-16.3937 6.4347,-31.2354 16.8383,-41.9786 10.4035,-10.7433 24.7759,-17.3881 40.6511,-17.3881 31.7505,0 57.4894,26.5793 57.4894,59.3667 z"
style="fill:none;fill-opacity:0.03276714;stroke:#18e404;stroke-width:3.42563248;stroke-linejoin:bevel;stroke-miterlimit:4;stroke-dasharray:none;stroke-opacity:1"
inkscape:export-filename="/Users/Kasia/lectures_on_knot_theory/images/3unknots.png"
inkscape:export-xdpi="90"
inkscape:export-ydpi="90" />
<path
style="fill:none;fill-opacity:0.03276714;stroke:#e86200;stroke-width:3.42563248;stroke-linejoin:bevel;stroke-miterlimit:4;stroke-dasharray:none;stroke-opacity:1"
d="m 908.98533,1233.4985 c -10e-6,16.3937 -6.43473,31.2354 -16.83825,41.9786 -10.40354,10.7433 -24.77587,17.3881 -40.65113,17.3881 -15.87526,0 -30.2476,-6.6448 -40.65114,-17.3881 -10.40353,-10.7432 -16.83825,-25.5849 -16.83825,-41.9786 -1e-5,-16.3937 6.43471,-31.2354 16.83825,-41.9786 10.40354,-10.7432 24.77588,-17.3881 40.65114,-17.3881 31.7505,0 57.4894,26.5793 57.48938,59.3667 z"
id="path6045"
inkscape:connector-curvature="0"
sodipodi:nodetypes="ssssssss"
inkscape:export-filename="/Users/Kasia/lectures_on_knot_theory/images/3unknots.png"
inkscape:export-xdpi="90"
inkscape:export-ydpi="90" />
<path
sodipodi:nodetypes="ssssssss"
inkscape:connector-curvature="0"
id="path6047"
d="m 908.98533,1233.4985 c -10e-6,16.3937 -6.43473,31.2354 -16.83825,41.9786 -10.40354,10.7433 -24.77587,17.3881 -40.65113,17.3881 -15.87526,0 -30.2476,-6.6448 -40.65114,-17.3881 -10.40353,-10.7432 -16.83825,-25.5849 -16.83825,-41.9786 -1e-5,-16.3937 6.43471,-31.2354 16.83825,-41.9786 10.40354,-10.7432 24.77588,-17.3881 40.65114,-17.3881 31.7505,0 57.4894,26.5793 57.48938,59.3667 z"
style="fill:none;fill-opacity:0.03276714;stroke:#e86200;stroke-width:3.42563248;stroke-linejoin:bevel;stroke-miterlimit:4;stroke-dasharray:none;stroke-opacity:1"
inkscape:export-filename="/Users/Kasia/lectures_on_knot_theory/images/3unknots.png"
inkscape:export-xdpi="90"
inkscape:export-ydpi="90" />
<path
style="fill:none;fill-opacity:0.03276714;stroke:#1aa0ed;stroke-width:3.42563248;stroke-linejoin:bevel;stroke-miterlimit:4;stroke-dasharray:none;stroke-opacity:1"
d="m 1044.0284,1235.5114 c 0,16.3937 -6.4347,31.2354 -16.8382,41.9787 -10.4036,10.7432 -24.7759,17.388 -40.65118,17.388 -15.87525,0 -30.2476,-6.6448 -40.65113,-17.388 -10.40353,-10.7433 -16.83825,-25.585 -16.83826,-41.9787 0,-16.3936 6.43472,-31.2353 16.83825,-41.9786 10.40354,-10.7432 24.77589,-17.3881 40.65114,-17.3881 31.75048,0 57.48938,26.5794 57.48938,59.3667 z"
id="path6049"
inkscape:connector-curvature="0"
sodipodi:nodetypes="ssssssss"
inkscape:export-filename="/Users/Kasia/lectures_on_knot_theory/images/3unknots.png"
inkscape:export-xdpi="90"
inkscape:export-ydpi="90" />
<path
sodipodi:nodetypes="cssssssssssssc"
inkscape:connector-curvature="0"
id="path6052"
d="m 935.77533,1487.7729 c -6.93327,-5.788 -12.54408,-12.6802 -16.42157,-20.3333 -3.87751,-7.6532 -6.02167,-16.0674 -6.02169,-24.8997 0,-8.8323 2.14415,-17.2465 6.02165,-24.8997 3.87749,-7.6531 9.4883,-14.5452 16.4216,-20.3333 6.93332,-5.788 15.1891,-10.472 24.35652,-13.7091 9.16741,-3.237 19.24645,-5.027 29.82629,-5.027 21.15967,0 40.31627,7.16 54.18287,18.7361 13.8665,11.5761 22.4432,27.5684 22.4432,45.233 0,8.8323 -2.1442,17.2465 -6.0217,24.8997 -3.8775,7.6533 -9.4883,14.5453 -16.4216,20.3333 -6.9333,5.788 -15.1891,10.4721 -24.3565,13.7092 -9.1674,3.2369 -19.2464,5.027 -29.82627,5.027 -10.57985,0 -20.6589,-1.7901 -29.82631,-5.027"
style="fill:none;fill-opacity:0.03276714;stroke:#1aa0ed;stroke-width:4.10533857;stroke-linejoin:bevel;stroke-miterlimit:4;stroke-dasharray:none;stroke-opacity:1"
inkscape:export-filename="/Users/Kasia/lectures_on_knot_theory/images/Hopf.png"
inkscape:export-xdpi="90"
inkscape:export-ydpi="90" />
<path
inkscape:export-ydpi="90"
inkscape:export-xdpi="90"
inkscape:export-filename="/Users/Kasia/lectures_on_knot_theory/images/BorromeanRings.png"
sodipodi:nodetypes="cssssssssccssssssssssssssc"
inkscape:connector-curvature="0"
id="path6062"
d="m 939.50185,1025.3518 c 0,4.0985 -0.40217,8.0999 -1.16797,11.9645 -0.76582,3.8646 -1.89526,7.5925 -3.34982,11.1438 -1.45457,3.5512 -3.23423,6.9259 -5.30049,10.0843 -2.06625,3.1583 -4.41908,6.1002 -7.01998,8.786 -2.60089,2.6858 -5.44983,5.1155 -8.50829,7.2492 -3.05845,2.1337 -6.32643,3.9716 -9.76539,5.4736 -3.43895,1.5021 -7.0489,2.6684 -10.79131,3.4592 -3.74242,0.7909 -7.61729,1.2062 -11.5861,1.2062 -3.96882,0 -7.84371,-0.4153 -11.58614,-1.2062 m -29.06503,-16.182 c -2.60088,-2.6858 -4.95371,-5.6277 -7.01996,-8.786 -2.06625,-3.1584 -3.84592,-6.5331 -5.30048,-10.0843 -1.45455,-3.5513 -2.58401,-7.2791 -3.34982,-11.1438 -0.76582,-3.8646 -1.168,-7.866 -1.168,-11.9645 0,-4.0984 0.40217,-8.0998 1.16799,-11.9644 0.76582,-3.8647 1.89527,-7.5925 3.34983,-11.1437 1.45458,-3.55132 3.23425,-6.926 5.3005,-10.0843 2.06625,-3.15838 4.41907,-6.10031 7.01994,-8.78611 2.60091,-2.6858 5.44985,-5.11554 8.50831,-7.24922 3.05845,-2.13376 6.32643,-3.97155 9.76539,-5.47359 3.43898,-1.50204 7.04893,-2.66841 10.79135,-3.4592 3.74241,-0.79085 7.6173,-1.20613 11.58612,-1.20613 7.93761,0 15.4995,1.66118 22.37743,4.66533 6.87793,3.00408 13.0719,7.35107 18.27366,12.72274 5.20177,5.3716 9.41133,11.76788 12.32046,18.87048"
style="fill:none;fill-opacity:0.03276714;stroke:#18e404;stroke-width:3.42563248;stroke-linejoin:bevel;stroke-miterlimit:4;stroke-dasharray:none;stroke-opacity:1" />
<path
inkscape:export-ydpi="90"
inkscape:export-xdpi="90"
inkscape:export-filename="/Users/Kasia/lectures_on_knot_theory/images/BorromeanRings.png"
style="fill:none;fill-opacity:0.03276714;stroke:#e86200;stroke-width:3.42563248;stroke-linejoin:bevel;stroke-miterlimit:4;stroke-dasharray:none;stroke-opacity:1"
d="m 906.58829,1089.7057 c -1.45457,3.5512 -3.23424,6.9259 -5.30049,10.0842 -2.06625,3.1584 -4.41908,6.1003 -7.01996,8.7861 -2.60091,2.6858 -5.44985,5.1155 -8.5083,7.2493 -3.05846,2.1337 -6.32643,3.9715 -9.76539,5.4735 -3.43897,1.5022 -7.04892,2.6685 -10.79133,3.4592 -3.74241,0.7909 -7.61729,1.2062 -11.5861,1.2062 -3.96882,0 -7.8437,-0.4153 -11.58612,-1.2062 -3.74242,-0.7907 -7.35238,-1.957 -10.79135,-3.4592 -3.43896,-1.502 -6.70694,-3.3398 -9.7654,-5.4735 -3.05846,-2.1337 -5.9074,-4.5634 -8.50828,-7.2493 -2.60086,-2.6858 -4.95368,-5.6277 -7.01993,-8.7861 -2.06625,-3.1583 -3.84593,-6.533 -5.3005,-10.0842 -1.45456,-3.5513 -2.58402,-7.2791 -3.34984,-11.1437 -0.76581,-3.8647 -1.16799,-7.8661 -1.16799,-11.9646 0,-4.0984 0.40217,-8.0998 1.16798,-11.9644 0.76581,-3.8646 1.89525,-7.5925 3.34982,-11.1437 1.45457,-3.5513 3.23424,-6.926 5.30049,-10.0843 2.06625,-3.1584 4.41908,-6.1003 7.01997,-8.7861 m 29.06502,-16.182 c 3.74242,-0.7909 7.61731,-1.2061 11.58613,-1.2061 7.93762,0 15.49952,1.6612 22.37746,4.6653 6.87794,3.0041 13.07191,7.3511 18.27368,12.7227 5.20178,5.3716 9.41135,11.7679 12.32047,18.8704 2.90911,7.1025 4.51778,14.9114 4.51777,23.1082"
id="path6066"
inkscape:connector-curvature="0"
sodipodi:nodetypes="csssssssssssssssssccssssc" />
<path
inkscape:export-ydpi="90"
inkscape:export-xdpi="90"
inkscape:export-filename="/Users/Kasia/lectures_on_knot_theory/images/BorromeanRings.png"
sodipodi:nodetypes="csssssssssssssccsssssssc"
inkscape:connector-curvature="0"
id="path6068"
d="m 899.88425,1009.01 c 3.74242,-0.7909 7.61731,-1.2062 11.58614,-1.2062 7.93763,0 15.49953,1.6612 22.37746,4.6654 6.87793,3.0041 13.0719,7.3511 18.27366,12.7228 5.20176,5.3716 9.41132,11.7679 12.32043,18.8703 2.90912,7.1026 4.5178,14.9114 4.5178,23.1083 0,4.0984 -0.40217,8.0998 -1.16798,11.9645 -0.76581,3.8646 -1.89526,7.5924 -3.34982,11.1437 -1.45454,3.5513 -3.23421,6.926 -5.30047,10.0843 -2.06626,3.1583 -4.4191,6.1003 -7.01999,8.7861 -2.60089,2.6858 -5.44982,5.1154 -8.50827,7.2491 -3.05846,2.1338 -6.32643,3.9716 -9.76539,5.4736 -3.43898,1.5021 -7.04893,2.6684 -10.79135,3.4592 -3.74241,0.7909 -7.61728,1.2061 -11.58608,1.2061 -3.96883,0 -7.84372,-0.4152 -11.58614,-1.2061 m -29.06503,-16.1819 c -2.60087,-2.6858 -4.95371,-5.6278 -7.01996,-8.7861 -2.06625,-3.1583 -3.84594,-6.533 -5.3005,-10.0843 -1.45458,-3.5513 -2.58402,-7.2791 -3.34983,-11.1437 -0.76581,-3.8647 -1.16797,-7.8661 -1.16797,-11.9645 0,-4.0984 0.40217,-8.0998 1.16799,-11.9645 0.76581,-3.8646 1.89526,-7.5924 3.34983,-11.1437 1.45457,-3.5513 3.23425,-6.9259 5.30049,-10.0843 2.06625,-3.1583 4.41908,-6.1003 7.01995,-8.7861"
style="fill:none;fill-opacity:0.03276714;stroke:#1aa0ed;stroke-width:3.42563248;stroke-linejoin:bevel;stroke-miterlimit:4;stroke-dasharray:none;stroke-opacity:1" />
<path
style="fill:none;fill-opacity:0.03276714;stroke:#e86200;stroke-width:1.63528061;stroke-linejoin:bevel;stroke-miterlimit:4;stroke-dasharray:none;stroke-opacity:1"
d="m 1167.8613,1047.1051 c 0.973,-4.113 1.484,-8.4667 1.484,-12.7334 0,-4.2666 -0.5014,-8.5549 -1.484,-12.7333 -0.9547,-4.0594 -2.3989,-8.0494 -4.2565,-11.8599 -1.8306,-3.7551 -4.1068,-7.3622 -6.735,-10.73228 -2.6163,-3.35474 -5.6216,-6.49712 -8.9198,-9.35068 -3.3079,-2.86189 -6.9441,-5.45765 -10.8111,-7.71505 -3.9058,-2.28009 -8.0773,-4.2449 -12.4083,-5.82533 -4.4136,-1.61059 -9.0257,-2.85655 -13.7119,-3.68151 -4.8353,-0.85119 -9.7904,-1.28363 -14.7219,-1.28363 -4.9314,-10e-6 -9.8866,0.43243 -14.7218,1.28361 -4.6863,0.82496 -9.2983,2.07091 -13.712,3.6815 -4.3309,1.58042 -8.5024,3.54523 -12.4083,5.82532 -3.867,2.25742 -7.5031,4.85319 -10.811,7.71509 -3.2983,2.85357 -6.3036,5.99596 -8.9199,9.3507 -2.6282,3.37006 -4.9044,6.97716 -6.735,10.73226 -1.8576,3.8105 -3.3018,7.8005 -4.2565,11.8599 -0.9826,4.1784 -1.4841,8.4667 -1.4841,12.7333 0,4.2667 0.5015,8.5549 1.4841,12.7334 0.9546,4.0593 2.3988,8.0494 4.2564,11.8598 1.8306,3.7551 4.1068,7.3622 6.7351,10.7323 2.6163,3.3547 5.6216,6.4971 8.9199,9.3507 3.3079,2.8619 6.944,5.4576 10.811,7.715 3.9059,2.2801 8.0774,4.2449 12.4083,5.8253 4.4137,1.6106 9.0257,2.8566 13.712,3.6816 4.8352,0.8511 9.7943,1.1128 14.7218,1.2836 9.4725,0.3283 18.9617,-0.165 28.4338,-0.501 8.1765,-0.29 18.048,3.1088 24.5042,-1.3071 3.0205,-2.066 4.2981,-6.3267 3.4833,-9.6121 -1.0422,-4.2022 -5.3756,-7.8537 -9.8738,-9.5533 m -19.429,0.3619 c -9.6932,1.5731 -18.0538,7.7067 -27.8373,8.7647 -3.9426,0.4263 -7.9639,-0.3493 -11.8585,-1.0366 -3.7752,-0.6662 -7.4903,-1.6725 -11.045,-2.9728 -3.4894,-1.2764 -6.8495,-2.8632 -9.995,-4.7039 -3.1157,-1.8232 -6.0444,-3.9195 -8.7084,-6.2299 -2.6574,-2.3047 -5.078,-4.8424 -7.185,-7.5507 -2.1176,-2.7218 -3.9508,-5.6346 -5.4251,-8.6663 -1.4966,-3.0774 -2.6597,-6.2993 -3.4286,-9.5768 -0.7916,-3.3743 -1.1954,-6.8369 -1.1954,-10.2821 0,-3.4452 0.4038,-6.9078 1.1954,-10.2822 0.7689,-3.2775 1.932,-6.4994 3.4286,-9.5768 1.4744,-3.0316 3.3075,-5.9444 5.4251,-8.6663 2.107,-2.7083 4.5276,-5.2459 7.185,-7.55065 2.664,-2.31039 5.5927,-4.40671 8.7083,-6.22993 3.1456,-1.84073 6.5057,-3.42756 9.9951,-4.70393 3.5547,-1.3003 7.2698,-2.30661 11.045,-2.9728 3.8946,-0.68725 7.8861,-1.03653 11.8585,-1.03653 3.9724,0 7.964,0.34928 11.8585,1.03653 3.7753,0.66621 7.4904,1.67253 11.045,2.97282 3.4893,1.27638 6.8494,2.86322 9.995,4.70394 3.1157,1.82321 6.0444,3.91952 8.7083,6.2299 2.6575,2.30475 5.078,4.84235 7.185,7.55065 2.1176,2.7219 3.9508,5.6347 5.4252,8.6663 1.4965,3.0774 2.6596,6.2993 3.4285,9.5768 0.7916,3.3744 1.1955,6.837 1.1955,10.2822 0,3.4452 -0.4116,6.9609 -1.1955,10.2821 m 12.4145,13.549 c 3.0267,0.1562 -2.0231,13.4528 -5.7802,18.483 m -15.0149,10.6142 c -4.6214,1.1543 -6.7171,0.3552 -9.4811,-1.0342 -2.009,-1.0098 -4.1193,-2.8071 -4.2286,-4.8378 -0.1306,-2.4279 2.9415,-4.118 4.4123,-6.177 1.4706,-2.059 2.9414,-4.118 4.4122,-6.177 1.4706,-2.059 3.0096,-4.0817 4.4121,-6.177 1.9024,-2.8419 3.9364,-5.6144 5.4252,-8.6664"
id="path6074"
inkscape:connector-curvature="0"
sodipodi:nodetypes="caaaaaaaaaaaaaaaaaaaaaaaaaaaaccaaaaaaaaaaaaaaaaaaaaaaaaaccccaaaaac"
inkscape:export-filename="/Users/Kasia/lectures_on_knot_theory/images/WhiteheadLink.png"
inkscape:export-xdpi="90"
inkscape:export-ydpi="90" />
<g
id="g6082" />
<path
inkscape:export-ydpi="90"
inkscape:export-xdpi="90"
inkscape:export-filename="/Users/Kasia/lectures_on_knot_theory/images/WhiteheadLink.png"
style="fill:none;fill-opacity:0.03276714;stroke:#18e404;stroke-width:1.93287003;stroke-linejoin:bevel;stroke-miterlimit:4;stroke-dasharray:none;stroke-opacity:1"
d="m 1161.5088,1013.868 c -1.9457,-0.4453 -3.873,-0.8542 -5.7768,-1.227 -1.9037,-0.3727 -3.7838,-0.7092 -5.635,-1.0098 m -10.7175,-1.373 c -1.7143,-0.1573 -3.3891,-0.2791 -5.019,-0.3655 -1.63,-0.086 -3.2151,-0.1375 -4.7502,-0.1533 -1.535,-0.016 -3.02,0 -4.4495,0.058 -5.7183,0.2174 -10.55,0.9946 -14.1567,2.3186 -3.6066,1.3241 -5.988,3.1951 -6.8054,5.6 -0.4086,1.2025 -0.4069,2.4816 -0.029,3.8155 0.3776,1.3339 1.1313,2.7227 2.2263,4.1446 1.0951,1.4219 2.5317,2.8768 4.2754,4.3432 1.7437,1.4663 3.7944,2.9441 6.1179,4.4114 2.3235,1.4674 4.9196,2.9244 7.754,4.3492 2.8344,1.4249 5.907,2.8177 9.1835,4.1567 3.2765,1.3389 6.7568,2.624 10.4065,3.8335 3.6498,1.2095 7.469,2.3435 11.4231,3.3801 3.9542,1.0366 7.8562,1.9269 11.6636,2.6723 3.8075,0.7455 7.5205,1.3462 11.0965,1.8037 3.576,0.4575 7.0152,0.7719 10.2751,0.9447 3.2599,0.1728 6.3406,0.2041 9.1998,0.095 2.859,-0.1087 5.4965,-0.3573 7.8701,-0.7443 2.3735,-0.387 4.4831,-0.9123 6.2864,-1.5743 1.8034,-0.662 3.3004,-1.4608 4.4487,-2.3946 1.1483,-0.9339 1.948,-2.0029 2.3567,-3.2054 0.4087,-1.2025 0.407,-2.4815 0.029,-3.8154 -0.3776,-1.3339 -1.1311,-2.7227 -2.2263,-4.1446 -1.095,-1.4218 -2.5316,-2.8768 -4.2752,-4.3432 -1.7437,-1.4663 -3.7946,-2.9441 -6.1181,-4.4114 -2.3234,-1.4674 -4.9195,-2.9244 -7.754,-4.3493 -2.8343,-1.4248 -5.907,-2.8176 -9.1835,-4.1566 -3.2764,-1.3389 -6.7568,-2.624 -10.4065,-3.8335 -0.9124,-0.3024 -1.8355,-0.6001 -2.7685,-0.8927 -0.9331,-0.2926 -1.8763,-0.5801 -2.8289,-0.8622 -0.9526,-0.2822 -1.9148,-0.5589 -2.8859,-0.8299"
id="path6080"
inkscape:connector-curvature="0"
sodipodi:nodetypes="csccssssssssssssssssssssssssssssssc" />
<path
inkscape:export-ydpi="90"
inkscape:export-xdpi="90"
inkscape:export-filename="/Users/Kasia/lectures_on_knot_theory/images/3unknots.png"
style="fill:#ffe6d5;fill-opacity:1;stroke:#18e404;stroke-width:6.61493587;stroke-linejoin:bevel;stroke-miterlimit:4;stroke-dasharray:none;stroke-opacity:1"
d="m 620.56777,160.39803 c 0,31.56035 -12.4633,60.13273 -32.61397,80.81496 -20.15049,20.68237 -47.98832,33.47473 -78.73691,33.47473 -30.74876,0 -58.58638,-12.79236 -78.73687,-33.47473 -20.15065,-20.68223 -32.61401,-49.25461 -32.61401,-80.81496 0,-31.56022 12.46336,-60.13261 32.61379,-80.814847 20.15071,-20.6825 47.98833,-33.47472 78.73709,-33.47472 61.49736,0 111.35088,51.16912 111.35088,114.289567 z"
id="path6085"
inkscape:connector-curvature="0"
sodipodi:nodetypes="ssssssss" />
<flowRoot
xml:space="preserve"
id="flowRoot6095"
style="font-style:normal;font-variant:normal;font-weight:normal;font-stretch:normal;font-size:40.000103px;line-height:125%;font-family:sans-serif;-inkscape-font-specification:'sans-serif, Normal';text-align:start;letter-spacing:0px;word-spacing:0px;writing-mode:lr-tb;text-anchor:start;fill:#000000;fill-opacity:1;stroke:none;stroke-width:1px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1"
transform="matrix(0.8704838,0,0,1.7921135,-489.17721,561.5534)"><flowRegion
id="flowRegion6097"><rect
id="rect6099"
width="485.07117"
height="203.91527"
x="1078.2792"
y="-251.45964"
style="font-style:normal;font-variant:normal;font-weight:normal;font-stretch:normal;font-size:40.000103px;line-height:125%;font-family:sans-serif;-inkscape-font-specification:'sans-serif, Normal';text-align:start;writing-mode:lr-tb;text-anchor:start" /></flowRegion><flowPara
id="flowPara3417">$B^4$</flowPara><flowPara
id="flowPara3419" /></flowRoot> <flowRoot
xml:space="preserve"
id="flowRoot6107"
style="fill:black;stroke:none;stroke-opacity:1;stroke-width:1px;stroke-linejoin:miter;stroke-linecap:butt;fill-opacity:1;font-family:sans-serif;font-style:normal;font-weight:normal;font-size:40px;line-height:125%;letter-spacing:0px;word-spacing:0px"><flowRegion
id="flowRegion6109"><rect
id="rect6111"
width="593.20807"
height="435.63715"
x="886.72241"
y="-381.22391" /></flowRegion><flowPara
id="flowPara6113" /></flowRoot> <path
style="fill:none;fill-rule:evenodd;stroke:#fc0000;stroke-width:5.94736767;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:4;stroke-dasharray:none;stroke-opacity:0.9807692;marker-start:url(#marker11429);marker-end:url(#marker11429)"
d="m 606.9724,106.44007 c 0,0 -10.30864,9.51604 -13.66191,15.59131 -4.95103,8.97004 -8.96713,19.24568 -8.84005,29.54142 0.10675,8.64915 3.22242,17.50049 8.03642,24.61786 5.30196,7.8388 21.69832,18.05308 21.69832,18.05308"
id="path5440"
inkscape:connector-curvature="0"
sodipodi:nodetypes="caaac" />
<path
sodipodi:nodetypes="ssssssss"
inkscape:connector-curvature="0"
id="path5442"
d="m 256.30112,152.34058 c 0,31.56036 -12.46331,60.13274 -32.61397,80.81497 -20.15048,20.68236 -47.98831,33.47472 -78.7369,33.47472 -30.74877,0 -58.586395,-12.79236 -78.736875,-33.47472 -20.15067,-20.68223 -32.61401,-49.25461 -32.61401,-80.81497 0,-31.56021 12.46334,-60.132611 32.61379,-80.814851 20.1507,-20.68251 47.988325,-33.47472 78.737095,-33.47472 61.49735,0 111.35087,51.16912 111.35087,114.289571 z"
style="fill:#ffe6d5;fill-opacity:1;stroke:#18e404;stroke-width:6.61493587;stroke-linejoin:bevel;stroke-miterlimit:4;stroke-dasharray:none;stroke-opacity:1"
inkscape:export-filename="/Users/Kasia/lectures_on_knot_theory/images/3unknots.png"
inkscape:export-xdpi="90"
inkscape:export-ydpi="90" />
<flowRoot
transform="matrix(0.8704838,0,0,1.7921135,-853.44382,553.49592)"
style="font-style:normal;font-variant:normal;font-weight:normal;font-stretch:normal;font-size:40.000103px;line-height:125%;font-family:sans-serif;-inkscape-font-specification:'sans-serif, Normal';text-align:start;letter-spacing:0px;word-spacing:0px;writing-mode:lr-tb;text-anchor:start;fill:#000000;fill-opacity:1;stroke:none;stroke-width:1px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1"
id="flowRoot5444"
xml:space="preserve"><flowRegion
id="flowRegion5446"><rect
style="font-style:normal;font-variant:normal;font-weight:normal;font-stretch:normal;font-size:40.000103px;line-height:125%;font-family:sans-serif;-inkscape-font-specification:'sans-serif, Normal';text-align:start;writing-mode:lr-tb;text-anchor:start"
y="-251.45964"
x="1078.2792"
height="203.91527"
width="485.07117"
id="rect5448" /></flowRegion><flowPara
id="flowPara5450">$B^4$</flowPara><flowPara
id="flowPara5452" /></flowRoot> <path
sodipodi:nodetypes="czzzc"
inkscape:connector-curvature="0"
id="path5454"
d="m 242.70576,98.382609 c 0,0 7.76475,15.332791 9.64369,24.617871 1.87895,9.28508 3.3081,16.27419 4.01821,23.79725 0.7101,7.52306 -0.40839,15.69667 -0.80364,21.33548 -0.39525,5.6388 -5.6255,18.05309 -5.6255,18.05309"
style="fill:none;fill-rule:evenodd;stroke:#fc0000;stroke-width:5.94695854;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:4;stroke-dasharray:none;stroke-opacity:0.9807692;marker-start:url(#marker10933);marker-end:url(#DotS)" />
<flowRoot
xml:space="preserve"
id="flowRoot5468"
style="fill:black;stroke:none;stroke-opacity:1;stroke-width:1px;stroke-linejoin:miter;stroke-linecap:butt;fill-opacity:1;font-family:sans-serif;font-style:normal;font-weight:normal;font-size:40px;line-height:125%;letter-spacing:0px;word-spacing:0px;-inkscape-font-specification:'sans-serif, Normal';font-stretch:normal;font-variant:normal;text-anchor:start;text-align:start;writing-mode:lr;"><flowRegion
id="flowRegion5470"><rect
id="rect5472"
width="120.15823"
height="41.509205"
x="535.25024"
y="108.57398"
style="-inkscape-font-specification:'sans-serif, Normal';font-family:sans-serif;font-weight:normal;font-style:normal;font-stretch:normal;font-variant:normal;font-size:40px;text-anchor:start;text-align:start;writing-mode:lr;line-height:125%;" /></flowRegion><flowPara
id="flowPara5476">$\Sigma$</flowPara></flowRoot> <flowRoot
xml:space="preserve"
id="flowRoot5478"
style="font-style:normal;font-variant:normal;font-weight:normal;font-stretch:normal;font-size:18.75px;line-height:100%;font-family:sans-serif;-inkscape-font-specification:'sans-serif, Normal';text-align:start;letter-spacing:0px;word-spacing:0px;writing-mode:lr-tb;text-anchor:start;fill:#000000;fill-opacity:1;stroke:none;stroke-width:1px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1"
transform="matrix(0.73570134,0,0,0.75122167,-126.1657,50.463889)"><flowRegion
id="flowRegion5480"><rect
id="rect5482"
width="157.29803"
height="85.203102"
x="530.88086"
y="110.75867"
style="font-style:normal;font-variant:normal;font-weight:normal;font-stretch:normal;font-size:18.75px;line-height:100%;font-family:sans-serif;-inkscape-font-specification:'sans-serif, Normal';text-align:start;writing-mode:lr-tb;text-anchor:start" /></flowRegion><flowPara
id="flowPara5486">$\Sigma$</flowPara></flowRoot> <text
xml:space="preserve"
style="font-style:normal;font-weight:normal;font-size:40px;line-height:125%;font-family:sans-serif;letter-spacing:0px;word-spacing:0px;fill:#000000;fill-opacity:1;stroke:none;stroke-width:1px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1"
x="633.56152"
y="121.68215"
id="text5488"
sodipodi:linespacing="125%"><tspan
sodipodi:role="line"
id="tspan5490"
x="633.56152"
y="121.68215" /></text>
<flowRoot
transform="matrix(0.73570134,0,0,0.75122167,237.2973,60.162533)"
style="font-style:normal;font-variant:normal;font-weight:normal;font-stretch:normal;font-size:18.75px;line-height:100%;font-family:sans-serif;-inkscape-font-specification:'sans-serif, Normal';text-align:start;letter-spacing:0px;word-spacing:0px;writing-mode:lr-tb;text-anchor:start;fill:#000000;fill-opacity:1;stroke:none;stroke-width:1px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1"
id="flowRoot5629"
xml:space="preserve"><flowRegion
id="flowRegion5631"><rect
style="font-style:normal;font-variant:normal;font-weight:normal;font-stretch:normal;font-size:18.75px;line-height:100%;font-family:sans-serif;-inkscape-font-specification:'sans-serif, Normal';text-align:start;writing-mode:lr-tb;text-anchor:start"
y="110.75867"
x="530.88086"
height="85.203102"
width="157.29803"
id="rect5633" /></flowRegion><flowPara
id="flowPara5637">$\widetilde{\Sigma}$</flowPara></flowRoot> </g>
</svg>

After

Width:  |  Height:  |  Size: 46 KiB

824
images/ball_4_v2.svg Normal file
View File

@ -0,0 +1,824 @@
<?xml version="1.0" encoding="UTF-8" standalone="no"?>
<!-- Created with Inkscape (http://www.inkscape.org/) -->
<svg
xmlns:osb="http://www.openswatchbook.org/uri/2009/osb"
xmlns:dc="http://purl.org/dc/elements/1.1/"
xmlns:cc="http://creativecommons.org/ns#"
xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#"
xmlns:svg="http://www.w3.org/2000/svg"
xmlns="http://www.w3.org/2000/svg"
xmlns:sodipodi="http://sodipodi.sourceforge.net/DTD/sodipodi-0.dtd"
xmlns:inkscape="http://www.inkscape.org/namespaces/inkscape"
width="210mm"
height="297mm"
viewBox="0 0 744.09448819 1052.3622047"
id="svg2"
version="1.1"
inkscape:version="0.91 r13725"
sodipodi:docname="ball_4_v2.svg">
<defs
id="defs4">
<marker
inkscape:stockid="DotS"
orient="auto"
refY="0.0"
refX="0.0"
id="marker11429"
style="overflow:visible"
inkscape:isstock="true">
<path
id="path11431"
d="M -2.5,-1.0 C -2.5,1.7600000 -4.7400000,4.0 -7.5,4.0 C -10.260000,4.0 -12.5,1.7600000 -12.5,-1.0 C -12.5,-3.7600000 -10.260000,-6.0 -7.5,-6.0 C -4.7400000,-6.0 -2.5,-3.7600000 -2.5,-1.0 z "
style="fill-rule:evenodd;stroke:#fc0000;stroke-width:1pt;stroke-opacity:0.9807692;fill:#fc0000;fill-opacity:0.9807692"
transform="scale(0.2) translate(7.4, 1)" />
</marker>
<marker
inkscape:stockid="DotS"
orient="auto"
refY="0.0"
refX="0.0"
id="marker10933"
style="overflow:visible"
inkscape:isstock="true">
<path
id="path10935"
d="M -2.5,-1.0 C -2.5,1.7600000 -4.7400000,4.0 -7.5,4.0 C -10.260000,4.0 -12.5,1.7600000 -12.5,-1.0 C -12.5,-3.7600000 -10.260000,-6.0 -7.5,-6.0 C -4.7400000,-6.0 -2.5,-3.7600000 -2.5,-1.0 z "
style="fill-rule:evenodd;stroke:#fc0000;stroke-width:1pt;stroke-opacity:0.9807692;fill:#fc0000;fill-opacity:0.9807692"
transform="scale(0.2) translate(7.4, 1)" />
</marker>
<marker
inkscape:stockid="DotS"
orient="auto"
refY="0.0"
refX="0.0"
id="marker10449"
style="overflow:visible"
inkscape:isstock="true">
<path
id="path10451"
d="M -2.5,-1.0 C -2.5,1.7600000 -4.7400000,4.0 -7.5,4.0 C -10.260000,4.0 -12.5,1.7600000 -12.5,-1.0 C -12.5,-3.7600000 -10.260000,-6.0 -7.5,-6.0 C -4.7400000,-6.0 -2.5,-3.7600000 -2.5,-1.0 z "
style="fill-rule:evenodd;stroke:#fc0000;stroke-width:1pt;stroke-opacity:0.9807692;fill:#fc0000;fill-opacity:0.9807692"
transform="scale(0.2) translate(7.4, 1)" />
</marker>
<marker
inkscape:stockid="StopM"
orient="auto"
refY="0.0"
refX="0.0"
id="StopM"
style="overflow:visible"
inkscape:isstock="true">
<path
id="path6505"
d="M 0.0,5.65 L 0.0,-5.65"
style="fill:none;fill-opacity:0.75;fill-rule:evenodd;stroke:#fc0000;stroke-width:1pt;stroke-opacity:0.9807692"
transform="scale(0.4)" />
</marker>
<marker
inkscape:stockid="DotS"
orient="auto"
refY="0.0"
refX="0.0"
id="marker9447"
style="overflow:visible"
inkscape:isstock="true">
<path
id="path9449"
d="M -2.5,-1.0 C -2.5,1.7600000 -4.7400000,4.0 -7.5,4.0 C -10.260000,4.0 -12.5,1.7600000 -12.5,-1.0 C -12.5,-3.7600000 -10.260000,-6.0 -7.5,-6.0 C -4.7400000,-6.0 -2.5,-3.7600000 -2.5,-1.0 z "
style="fill-rule:evenodd;stroke:#fc0000;stroke-width:1pt;stroke-opacity:0.9807692;fill:#fc0000;fill-opacity:0.9807692"
transform="scale(0.2) translate(7.4, 1)" />
</marker>
<marker
inkscape:stockid="StopL"
orient="auto"
refY="0.0"
refX="0.0"
id="StopL"
style="overflow:visible"
inkscape:isstock="true">
<path
id="path6502"
d="M 0.0,5.65 L 0.0,-5.65"
style="fill:none;fill-opacity:0.75;fill-rule:evenodd;stroke:#fc0000;stroke-width:1pt;stroke-opacity:0.9807692"
transform="scale(0.8)" />
</marker>
<marker
style="overflow:visible"
id="DistanceStart"
refX="0.0"
refY="0.0"
orient="auto"
inkscape:stockid="DistanceStart"
inkscape:isstock="true">
<g
id="g2300"
style="stroke:#fc0000;stroke-opacity:0.9807692;fill:#fc0000;fill-opacity:0.9807692">
<path
style="fill:#fc0000;stroke:#fc0000;stroke-width:1.15;stroke-linecap:square;stroke-opacity:0.9807692;fill-opacity:0.9807692"
d="M 0,0 L 2,0"
id="path2306" />
<path
style="fill:#fc0000;fill-rule:evenodd;stroke:#fc0000;stroke-opacity:0.9807692;fill-opacity:0.9807692"
d="M 0,0 L 13,4 L 9,0 13,-4 L 0,0 z "
id="path2302" />
<path
style="fill:#fc0000;stroke:#fc0000;stroke-width:1;stroke-linecap:square;stroke-opacity:0.9807692;fill-opacity:0.9807692"
d="M 0,-4 L 0,40"
id="path2304" />
</g>
</marker>
<marker
inkscape:stockid="SquareS"
orient="auto"
refY="0.0"
refX="0.0"
id="SquareS"
style="overflow:visible"
inkscape:isstock="true">
<path
id="path6409"
d="M -5.0,-5.0 L -5.0,5.0 L 5.0,5.0 L 5.0,-5.0 L -5.0,-5.0 z "
style="fill-rule:evenodd;stroke:#fc0000;stroke-width:1pt;stroke-opacity:0.9807692;fill:#fc0000;fill-opacity:0.9807692"
transform="scale(0.2)" />
</marker>
<marker
inkscape:stockid="DotS"
orient="auto"
refY="0.0"
refX="0.0"
id="DotS"
style="overflow:visible"
inkscape:isstock="true">
<path
id="path6400"
d="M -2.5,-1.0 C -2.5,1.7600000 -4.7400000,4.0 -7.5,4.0 C -10.260000,4.0 -12.5,1.7600000 -12.5,-1.0 C -12.5,-3.7600000 -10.260000,-6.0 -7.5,-6.0 C -4.7400000,-6.0 -2.5,-3.7600000 -2.5,-1.0 z "
style="fill-rule:evenodd;stroke:#fc0000;stroke-width:1pt;stroke-opacity:0.9807692;fill:#fc0000;fill-opacity:0.9807692"
transform="scale(0.2) translate(7.4, 1)" />
</marker>
<marker
inkscape:stockid="DotM"
orient="auto"
refY="0.0"
refX="0.0"
id="DotM"
style="overflow:visible"
inkscape:isstock="true">
<path
id="path6397"
d="M -2.5,-1.0 C -2.5,1.7600000 -4.7400000,4.0 -7.5,4.0 C -10.260000,4.0 -12.5,1.7600000 -12.5,-1.0 C -12.5,-3.7600000 -10.260000,-6.0 -7.5,-6.0 C -4.7400000,-6.0 -2.5,-3.7600000 -2.5,-1.0 z "
style="fill-rule:evenodd;stroke:#fc0000;stroke-width:1pt;stroke-opacity:0.9807692;fill:#fc0000;fill-opacity:0.9807692"
transform="scale(0.4) translate(7.4, 1)" />
</marker>
<marker
inkscape:stockid="Arrow2Send"
orient="auto"
refY="0.0"
refX="0.0"
id="Arrow2Send"
style="overflow:visible;"
inkscape:isstock="true">
<path
id="path6366"
style="fill-rule:evenodd;stroke-width:0.625;stroke-linejoin:round;stroke:#fc0000;stroke-opacity:0.9807692;fill:#fc0000;fill-opacity:0.9807692"
d="M 8.7185878,4.0337352 L -2.2072895,0.016013256 L 8.7185884,-4.0017078 C 6.9730900,-1.6296469 6.9831476,1.6157441 8.7185878,4.0337352 z "
transform="scale(0.3) rotate(180) translate(-2.3,0)" />
</marker>
<marker
inkscape:stockid="DotL"
orient="auto"
refY="0.0"
refX="0.0"
id="DotL"
style="overflow:visible"
inkscape:isstock="true">
<path
id="path6394"
d="M -2.5,-1.0 C -2.5,1.7600000 -4.7400000,4.0 -7.5,4.0 C -10.260000,4.0 -12.5,1.7600000 -12.5,-1.0 C -12.5,-3.7600000 -10.260000,-6.0 -7.5,-6.0 C -4.7400000,-6.0 -2.5,-3.7600000 -2.5,-1.0 z "
style="fill-rule:evenodd;stroke:#fc0000;stroke-width:1pt;stroke-opacity:0.9807692;fill:#fc0000;fill-opacity:0.9807692"
transform="scale(0.8) translate(7.4, 1)" />
</marker>
<linearGradient
id="linearGradient6028"
osb:paint="solid">
<stop
style="stop-color:#ffffff;stop-opacity:1;"
offset="0"
id="stop6030" />
</linearGradient>
<marker
inkscape:isstock="true"
style="overflow:visible;"
id="marker9485"
refX="0.0"
refY="0.0"
orient="auto"
inkscape:stockid="Arrow1Send">
<path
transform="scale(0.2) rotate(180) translate(6,0)"
style="fill-rule:evenodd;stroke:#00d800;stroke-width:1pt;stroke-opacity:1;fill:#00d800;fill-opacity:1"
d="M 0.0,0.0 L 5.0,-5.0 L -12.5,0.0 L 5.0,5.0 L 0.0,0.0 z "
id="path9487" />
</marker>
<marker
inkscape:stockid="Arrow1Send"
orient="auto"
refY="0.0"
refX="0.0"
id="Arrow1Send"
style="overflow:visible;"
inkscape:isstock="true">
<path
id="path4342"
d="M 0.0,0.0 L 5.0,-5.0 L -12.5,0.0 L 5.0,5.0 L 0.0,0.0 z "
style="fill-rule:evenodd;stroke:#fc0000;stroke-width:1pt;stroke-opacity:0.9807692;fill:#fc0000;fill-opacity:0.9807692"
transform="scale(0.2) rotate(180) translate(6,0)" />
</marker>
<marker
inkscape:isstock="true"
style="overflow:visible"
id="marker8725"
refX="0.0"
refY="0.0"
orient="auto"
inkscape:stockid="Arrow1Sstart">
<path
transform="scale(0.2) translate(6,0)"
style="fill-rule:evenodd;stroke:#00d800;stroke-width:1pt;stroke-opacity:1;fill:#00d800;fill-opacity:1"
d="M 0.0,0.0 L 5.0,-5.0 L -12.5,0.0 L 5.0,5.0 L 0.0,0.0 z "
id="path8727" />
</marker>
<marker
inkscape:stockid="Arrow1Sstart"
orient="auto"
refY="0.0"
refX="0.0"
id="marker8511"
style="overflow:visible"
inkscape:isstock="true">
<path
id="path8513"
d="M 0.0,0.0 L 5.0,-5.0 L -12.5,0.0 L 5.0,5.0 L 0.0,0.0 z "
style="fill-rule:evenodd;stroke:#00d800;stroke-width:1pt;stroke-opacity:1;fill:#00d800;fill-opacity:1"
transform="scale(0.2) translate(6,0)" />
</marker>
<marker
inkscape:isstock="true"
style="overflow:visible"
id="marker8333"
refX="0.0"
refY="0.0"
orient="auto"
inkscape:stockid="Arrow1Sstart">
<path
transform="scale(0.2) translate(6,0)"
style="fill-rule:evenodd;stroke:#00d800;stroke-width:1pt;stroke-opacity:1;fill:#00d800;fill-opacity:1"
d="M 0.0,0.0 L 5.0,-5.0 L -12.5,0.0 L 5.0,5.0 L 0.0,0.0 z "
id="path8335" />
</marker>
<marker
inkscape:stockid="Arrow1Sstart"
orient="auto"
refY="0.0"
refX="0.0"
id="marker7839"
style="overflow:visible"
inkscape:isstock="true">
<path
id="path7841"
d="M 0.0,0.0 L 5.0,-5.0 L -12.5,0.0 L 5.0,5.0 L 0.0,0.0 z "
style="fill-rule:evenodd;stroke:#00d800;stroke-width:1pt;stroke-opacity:1;fill:#00d800;fill-opacity:1"
transform="scale(0.2) translate(6,0)" />
</marker>
<marker
inkscape:stockid="Arrow1Sstart"
orient="auto"
refY="0.0"
refX="0.0"
id="marker7685"
style="overflow:visible"
inkscape:isstock="true">
<path
id="path7687"
d="M 0.0,0.0 L 5.0,-5.0 L -12.5,0.0 L 5.0,5.0 L 0.0,0.0 z "
style="fill-rule:evenodd;stroke:#00d800;stroke-width:1pt;stroke-opacity:1;fill:#00d800;fill-opacity:1"
transform="scale(0.2) translate(6,0)" />
</marker>
<marker
inkscape:stockid="Arrow1Sstart"
orient="auto"
refY="0.0"
refX="0.0"
id="marker7537"
style="overflow:visible"
inkscape:isstock="true">
<path
id="path7539"
d="M 0.0,0.0 L 5.0,-5.0 L -12.5,0.0 L 5.0,5.0 L 0.0,0.0 z "
style="fill-rule:evenodd;stroke:#e30000;stroke-width:1pt;stroke-opacity:1;fill:#e30000;fill-opacity:1"
transform="scale(0.2) translate(6,0)" />
</marker>
<marker
inkscape:stockid="Arrow1Sstart"
orient="auto"
refY="0.0"
refX="0.0"
id="marker7475"
style="overflow:visible"
inkscape:isstock="true">
<path
id="path7477"
d="M 0.0,0.0 L 5.0,-5.0 L -12.5,0.0 L 5.0,5.0 L 0.0,0.0 z "
style="fill-rule:evenodd;stroke:#00d800;stroke-width:1pt;stroke-opacity:1;fill:#00d800;fill-opacity:1"
transform="scale(0.2) translate(6,0)" />
</marker>
<marker
inkscape:isstock="true"
style="overflow:visible"
id="marker7191"
refX="0.0"
refY="0.0"
orient="auto"
inkscape:stockid="Arrow1Sstart">
<path
transform="scale(0.2) translate(6,0)"
style="fill-rule:evenodd;stroke:#00d800;stroke-width:1pt;stroke-opacity:1;fill:#00d800;fill-opacity:1"
d="M 0.0,0.0 L 5.0,-5.0 L -12.5,0.0 L 5.0,5.0 L 0.0,0.0 z "
id="path7193" />
</marker>
<marker
inkscape:stockid="Arrow2Mend"
orient="auto"
refY="0.0"
refX="0.0"
id="marker6495"
style="overflow:visible;"
inkscape:isstock="true">
<path
id="path6497"
style="fill-rule:evenodd;stroke-width:0.625;stroke-linejoin:round;stroke:#e30000;stroke-opacity:1;fill:#e30000;fill-opacity:1"
d="M 8.7185878,4.0337352 L -2.2072895,0.016013256 L 8.7185884,-4.0017078 C 6.9730900,-1.6296469 6.9831476,1.6157441 8.7185878,4.0337352 z "
transform="scale(0.6) rotate(180) translate(0,0)" />
</marker>
<marker
inkscape:stockid="Arrow1Sstart"
orient="auto"
refY="0.0"
refX="0.0"
id="Arrow1Sstart"
style="overflow:visible"
inkscape:isstock="true">
<path
id="path4339"
d="M 0.0,0.0 L 5.0,-5.0 L -12.5,0.0 L 5.0,5.0 L 0.0,0.0 z "
style="fill-rule:evenodd;stroke:#00d800;stroke-width:1pt;stroke-opacity:1;fill:#00d800;fill-opacity:1"
transform="scale(0.2) translate(6,0)" />
</marker>
<marker
inkscape:stockid="Arrow1Sstart"
orient="auto"
refY="0.0"
refX="0.0"
id="marker6279"
style="overflow:visible"
inkscape:isstock="true">
<path
id="path6281"
d="M 0.0,0.0 L 5.0,-5.0 L -12.5,0.0 L 5.0,5.0 L 0.0,0.0 z "
style="fill-rule:evenodd;stroke:#00d800;stroke-width:1pt;stroke-opacity:1;fill:#00d800;fill-opacity:1"
transform="scale(0.2) translate(6,0)" />
</marker>
<marker
inkscape:stockid="Arrow1Sstart"
orient="auto"
refY="0.0"
refX="0.0"
id="marker6149"
style="overflow:visible"
inkscape:isstock="true">
<path
id="path6151"
d="M 0.0,0.0 L 5.0,-5.0 L -12.5,0.0 L 5.0,5.0 L 0.0,0.0 z "
style="fill-rule:evenodd;stroke:#e30000;stroke-width:1pt;stroke-opacity:1;fill:#e30000;fill-opacity:1"
transform="scale(0.2) translate(6,0)" />
</marker>
<marker
inkscape:stockid="Arrow1Sstart"
orient="auto"
refY="0.0"
refX="0.0"
id="marker6049"
style="overflow:visible"
inkscape:isstock="true">
<path
id="path6051"
d="M 0.0,0.0 L 5.0,-5.0 L -12.5,0.0 L 5.0,5.0 L 0.0,0.0 z "
style="fill-rule:evenodd;stroke:#fc0000;stroke-width:1pt;stroke-opacity:0.9807692;fill:#fc0000;fill-opacity:0.9807692"
transform="scale(0.2) translate(6,0)" />
</marker>
<marker
inkscape:stockid="Arrow1Sstart"
orient="auto"
refY="0.0"
refX="0.0"
id="marker5867"
style="overflow:visible"
inkscape:isstock="true">
<path
id="path5869"
d="M 0.0,0.0 L 5.0,-5.0 L -12.5,0.0 L 5.0,5.0 L 0.0,0.0 z "
style="fill-rule:evenodd;stroke:#00d800;stroke-width:1pt;stroke-opacity:1;fill:#00d800;fill-opacity:1"
transform="scale(0.2) translate(6,0)" />
</marker>
<marker
inkscape:isstock="true"
style="overflow:visible"
id="marker5529"
refX="0.0"
refY="0.0"
orient="auto"
inkscape:stockid="Arrow1Sstart">
<path
transform="scale(0.2) translate(6,0)"
style="fill-rule:evenodd;stroke:#00d800;stroke-width:1pt;stroke-opacity:1;fill:#00d800;fill-opacity:1"
d="M 0.0,0.0 L 5.0,-5.0 L -12.5,0.0 L 5.0,5.0 L 0.0,0.0 z "
id="path5531" />
</marker>
<marker
inkscape:isstock="true"
style="overflow:visible"
id="marker5441"
refX="0.0"
refY="0.0"
orient="auto"
inkscape:stockid="Arrow1Sstart">
<path
transform="scale(0.2) translate(6,0)"
style="fill-rule:evenodd;stroke:#e30000;stroke-width:1pt;stroke-opacity:1;fill:#e30000;fill-opacity:1"
d="M 0.0,0.0 L 5.0,-5.0 L -12.5,0.0 L 5.0,5.0 L 0.0,0.0 z "
id="path5443" />
</marker>
<marker
inkscape:stockid="Arrow1Sstart"
orient="auto"
refY="0.0"
refX="0.0"
id="marker4911"
style="overflow:visible"
inkscape:isstock="true">
<path
id="path4913"
d="M 0.0,0.0 L 5.0,-5.0 L -12.5,0.0 L 5.0,5.0 L 0.0,0.0 z "
style="fill-rule:evenodd;stroke:#e30000;stroke-width:1pt;stroke-opacity:1;fill:#e30000;fill-opacity:1"
transform="scale(0.2) translate(6,0)" />
</marker>
<marker
inkscape:stockid="Arrow2Mend"
orient="auto"
refY="0.0"
refX="0.0"
id="Arrow2Mend"
style="overflow:visible;"
inkscape:isstock="true">
<path
id="path4354"
style="fill-rule:evenodd;stroke-width:0.625;stroke-linejoin:round;stroke:#00d800;stroke-opacity:1;fill:#00d800;fill-opacity:1"
d="M 8.7185878,4.0337352 L -2.2072895,0.016013256 L 8.7185884,-4.0017078 C 6.9730900,-1.6296469 6.9831476,1.6157441 8.7185878,4.0337352 z "
transform="scale(0.6) rotate(180) translate(0,0)" />
</marker>
<marker
inkscape:stockid="Arrow2Mstart"
orient="auto"
refY="0.0"
refX="0.0"
id="marker4699"
style="overflow:visible"
inkscape:isstock="true">
<path
id="path4701"
style="fill-rule:evenodd;stroke-width:0.625;stroke-linejoin:round;stroke:#00d800;stroke-opacity:1;fill:#00d800;fill-opacity:1"
d="M 8.7185878,4.0337352 L -2.2072895,0.016013256 L 8.7185884,-4.0017078 C 6.9730900,-1.6296469 6.9831476,1.6157441 8.7185878,4.0337352 z "
transform="scale(0.6) translate(0,0)" />
</marker>
<marker
inkscape:stockid="Arrow2Mstart"
orient="auto"
refY="0.0"
refX="0.0"
id="Arrow2Mstart"
style="overflow:visible"
inkscape:isstock="true">
<path
id="path4351"
style="fill-rule:evenodd;stroke-width:0.625;stroke-linejoin:round;stroke:#00d800;stroke-opacity:1;fill:#00d800;fill-opacity:1"
d="M 8.7185878,4.0337352 L -2.2072895,0.016013256 L 8.7185884,-4.0017078 C 6.9730900,-1.6296469 6.9831476,1.6157441 8.7185878,4.0337352 z "
transform="scale(0.6) translate(0,0)" />
</marker>
<marker
inkscape:stockid="Arrow1Mstart"
orient="auto"
refY="0.0"
refX="0.0"
id="Arrow1Mstart"
style="overflow:visible"
inkscape:isstock="true">
<path
id="path4333"
d="M 0.0,0.0 L 5.0,-5.0 L -12.5,0.0 L 5.0,5.0 L 0.0,0.0 z "
style="fill-rule:evenodd;stroke:#00d800;stroke-width:1pt;stroke-opacity:1;fill:#00d800;fill-opacity:1"
transform="scale(0.4) translate(10,0)" />
</marker>
<marker
inkscape:stockid="Arrow1Lstart"
orient="auto"
refY="0.0"
refX="0.0"
id="Arrow1Lstart"
style="overflow:visible"
inkscape:isstock="true">
<path
id="path4327"
d="M 0.0,0.0 L 5.0,-5.0 L -12.5,0.0 L 5.0,5.0 L 0.0,0.0 z "
style="fill-rule:evenodd;stroke:#00d800;stroke-width:1pt;stroke-opacity:1;fill:#00d800;fill-opacity:1"
transform="scale(0.8) translate(12.5,0)" />
</marker>
<marker
inkscape:stockid="Arrow1Lend"
orient="auto"
refY="0.0"
refX="0.0"
id="Arrow1Lend"
style="overflow:visible;"
inkscape:isstock="true">
<path
id="path4330"
d="M 0.0,0.0 L 5.0,-5.0 L -12.5,0.0 L 5.0,5.0 L 0.0,0.0 z "
style="fill-rule:evenodd;stroke:#00d800;stroke-width:1pt;stroke-opacity:1;fill:#00d800;fill-opacity:1"
transform="scale(0.8) rotate(180) translate(12.5,0)" />
</marker>
<pattern
patternUnits="userSpaceOnUse"
width="138.10021"
height="139.11037"
patternTransform="translate(168.84081,1754.5635)"
id="pattern6034">
<ellipse
ry="67.491684"
rx="66.986603"
cy="69.555183"
cx="69.050102"
id="path3482"
style="fill:none;fill-opacity:1;stroke:#00ef00;stroke-width:4.12699986;stroke-linejoin:bevel;stroke-miterlimit:4;stroke-dasharray:none;stroke-opacity:1" />
</pattern>
</defs>
<sodipodi:namedview
id="base"
pagecolor="#ffffff"
bordercolor="#666666"
borderopacity="1.0"
inkscape:pageopacity="0.0"
inkscape:pageshadow="2"
inkscape:zoom="0.91545961"
inkscape:cx="425.61117"
inkscape:cy="556.62237"
inkscape:document-units="px"
inkscape:current-layer="layer1"
showgrid="false"
inkscape:window-width="1386"
inkscape:window-height="855"
inkscape:window-x="0"
inkscape:window-y="1"
inkscape:window-maximized="1"
inkscape:snap-global="true"
inkscape:snap-nodes="false" />
<metadata
id="metadata7">
<rdf:RDF>
<cc:Work
rdf:about="">
<dc:format>image/svg+xml</dc:format>
<dc:type
rdf:resource="http://purl.org/dc/dcmitype/StillImage" />
<dc:title></dc:title>
</cc:Work>
</rdf:RDF>
</metadata>
<g
inkscape:label="Layer 1"
inkscape:groupmode="layer"
id="layer1">
<path
style="fill:none;fill-opacity:0.03276714;stroke:#e86200;stroke-width:4.10533857;stroke-linejoin:bevel;stroke-miterlimit:4;stroke-dasharray:none;stroke-opacity:1"
d="m 949.56479,1396.7109 c 3.46665,2.894 6.60268,6.064 9.35673,9.4672 2.75405,3.4032 5.12614,7.0395 7.06488,10.8661 1.93874,3.8266 3.44416,7.8434 4.46488,12.0077 1.02072,4.1642 1.55676,8.4758 1.55676,12.892 0,8.8323 -2.14417,17.2465 -6.02167,24.8997 -3.87749,7.6531 -9.48829,14.5452 -16.42159,20.3333 -6.93332,5.788 -15.1891,10.472 -24.35651,13.7091 -9.1674,3.237 -19.24644,5.027 -29.82629,5.027 -10.57984,0 -20.6589,-1.79 -29.8263,-5.027 -9.16743,-3.237 -17.4232,-7.921 -24.35649,-13.7091 -6.93327,-5.7881 -12.54407,-12.6802 -16.42158,-20.3333 -3.87749,-7.6532 -6.02167,-16.0674 -6.02168,-24.8997 0,-8.8323 2.14416,-17.2466 6.02165,-24.8997 3.87749,-7.6531 9.4883,-14.5453 16.4216,-20.3333 6.93332,-5.788 15.18911,-10.4721 24.35651,-13.7092 9.1674,-3.2369 19.24645,-5.027 29.82629,-5.027 5.28993,0 10.45465,0.4475 15.44281,1.2996 4.98819,0.8521 9.7998,2.1089 14.3835,3.7274 4.58372,1.6186 8.93951,3.5988 13.01604,5.898"
id="path3480"
inkscape:connector-curvature="0"
sodipodi:nodetypes="cssssssssssssssssssc"
inkscape:export-filename="/Users/Kasia/lectures_on_knot_theory/images/Hopf.png"
inkscape:export-xdpi="90"
inkscape:export-ydpi="90" />
<path
sodipodi:nodetypes="ssssssss"
inkscape:connector-curvature="0"
id="path6041"
d="m 1174.1448,1234.3679 c 0,16.3937 -6.4347,31.2354 -16.8382,41.9786 -10.4036,10.7433 -24.7759,17.3881 -40.6512,17.3881 -15.8752,0 -30.2476,-6.6448 -40.6511,-17.3881 -10.4035,-10.7432 -16.8383,-25.5849 -16.8383,-41.9786 0,-16.3937 6.4347,-31.2354 16.8383,-41.9786 10.4035,-10.7433 24.7759,-17.3881 40.6511,-17.3881 31.7505,0 57.4894,26.5793 57.4894,59.3667 z"
style="fill:none;fill-opacity:0.03276714;stroke:#18e404;stroke-width:3.42563248;stroke-linejoin:bevel;stroke-miterlimit:4;stroke-dasharray:none;stroke-opacity:1"
inkscape:export-filename="/Users/Kasia/lectures_on_knot_theory/images/3unknots.png"
inkscape:export-xdpi="90"
inkscape:export-ydpi="90" />
<path
style="fill:none;fill-opacity:0.03276714;stroke:#e86200;stroke-width:3.42563248;stroke-linejoin:bevel;stroke-miterlimit:4;stroke-dasharray:none;stroke-opacity:1"
d="m 908.98533,1233.4985 c -10e-6,16.3937 -6.43473,31.2354 -16.83825,41.9786 -10.40354,10.7433 -24.77587,17.3881 -40.65113,17.3881 -15.87526,0 -30.2476,-6.6448 -40.65114,-17.3881 -10.40353,-10.7432 -16.83825,-25.5849 -16.83825,-41.9786 -1e-5,-16.3937 6.43471,-31.2354 16.83825,-41.9786 10.40354,-10.7432 24.77588,-17.3881 40.65114,-17.3881 31.7505,0 57.4894,26.5793 57.48938,59.3667 z"
id="path6045"
inkscape:connector-curvature="0"
sodipodi:nodetypes="ssssssss"
inkscape:export-filename="/Users/Kasia/lectures_on_knot_theory/images/3unknots.png"
inkscape:export-xdpi="90"
inkscape:export-ydpi="90" />
<path
sodipodi:nodetypes="ssssssss"
inkscape:connector-curvature="0"
id="path6047"
d="m 908.98533,1233.4985 c -10e-6,16.3937 -6.43473,31.2354 -16.83825,41.9786 -10.40354,10.7433 -24.77587,17.3881 -40.65113,17.3881 -15.87526,0 -30.2476,-6.6448 -40.65114,-17.3881 -10.40353,-10.7432 -16.83825,-25.5849 -16.83825,-41.9786 -1e-5,-16.3937 6.43471,-31.2354 16.83825,-41.9786 10.40354,-10.7432 24.77588,-17.3881 40.65114,-17.3881 31.7505,0 57.4894,26.5793 57.48938,59.3667 z"
style="fill:none;fill-opacity:0.03276714;stroke:#e86200;stroke-width:3.42563248;stroke-linejoin:bevel;stroke-miterlimit:4;stroke-dasharray:none;stroke-opacity:1"
inkscape:export-filename="/Users/Kasia/lectures_on_knot_theory/images/3unknots.png"
inkscape:export-xdpi="90"
inkscape:export-ydpi="90" />
<path
style="fill:none;fill-opacity:0.03276714;stroke:#1aa0ed;stroke-width:3.42563248;stroke-linejoin:bevel;stroke-miterlimit:4;stroke-dasharray:none;stroke-opacity:1"
d="m 1044.0284,1235.5114 c 0,16.3937 -6.4347,31.2354 -16.8382,41.9787 -10.4036,10.7432 -24.7759,17.388 -40.65118,17.388 -15.87525,0 -30.2476,-6.6448 -40.65113,-17.388 -10.40353,-10.7433 -16.83825,-25.585 -16.83826,-41.9787 0,-16.3936 6.43472,-31.2353 16.83825,-41.9786 10.40354,-10.7432 24.77589,-17.3881 40.65114,-17.3881 31.75048,0 57.48938,26.5794 57.48938,59.3667 z"
id="path6049"
inkscape:connector-curvature="0"
sodipodi:nodetypes="ssssssss"
inkscape:export-filename="/Users/Kasia/lectures_on_knot_theory/images/3unknots.png"
inkscape:export-xdpi="90"
inkscape:export-ydpi="90" />
<path
sodipodi:nodetypes="cssssssssssssc"
inkscape:connector-curvature="0"
id="path6052"
d="m 935.77533,1487.7729 c -6.93327,-5.788 -12.54408,-12.6802 -16.42157,-20.3333 -3.87751,-7.6532 -6.02167,-16.0674 -6.02169,-24.8997 0,-8.8323 2.14415,-17.2465 6.02165,-24.8997 3.87749,-7.6531 9.4883,-14.5452 16.4216,-20.3333 6.93332,-5.788 15.1891,-10.472 24.35652,-13.7091 9.16741,-3.237 19.24645,-5.027 29.82629,-5.027 21.15967,0 40.31627,7.16 54.18287,18.7361 13.8665,11.5761 22.4432,27.5684 22.4432,45.233 0,8.8323 -2.1442,17.2465 -6.0217,24.8997 -3.8775,7.6533 -9.4883,14.5453 -16.4216,20.3333 -6.9333,5.788 -15.1891,10.4721 -24.3565,13.7092 -9.1674,3.2369 -19.2464,5.027 -29.82627,5.027 -10.57985,0 -20.6589,-1.7901 -29.82631,-5.027"
style="fill:none;fill-opacity:0.03276714;stroke:#1aa0ed;stroke-width:4.10533857;stroke-linejoin:bevel;stroke-miterlimit:4;stroke-dasharray:none;stroke-opacity:1"
inkscape:export-filename="/Users/Kasia/lectures_on_knot_theory/images/Hopf.png"
inkscape:export-xdpi="90"
inkscape:export-ydpi="90" />
<path
inkscape:export-ydpi="90"
inkscape:export-xdpi="90"
inkscape:export-filename="/Users/Kasia/lectures_on_knot_theory/images/BorromeanRings.png"
sodipodi:nodetypes="cssssssssccssssssssssssssc"
inkscape:connector-curvature="0"
id="path6062"
d="m 939.50185,1025.3518 c 0,4.0985 -0.40217,8.0999 -1.16797,11.9645 -0.76582,3.8646 -1.89526,7.5925 -3.34982,11.1438 -1.45457,3.5512 -3.23423,6.9259 -5.30049,10.0843 -2.06625,3.1583 -4.41908,6.1002 -7.01998,8.786 -2.60089,2.6858 -5.44983,5.1155 -8.50829,7.2492 -3.05845,2.1337 -6.32643,3.9716 -9.76539,5.4736 -3.43895,1.5021 -7.0489,2.6684 -10.79131,3.4592 -3.74242,0.7909 -7.61729,1.2062 -11.5861,1.2062 -3.96882,0 -7.84371,-0.4153 -11.58614,-1.2062 m -29.06503,-16.182 c -2.60088,-2.6858 -4.95371,-5.6277 -7.01996,-8.786 -2.06625,-3.1584 -3.84592,-6.5331 -5.30048,-10.0843 -1.45455,-3.5513 -2.58401,-7.2791 -3.34982,-11.1438 -0.76582,-3.8646 -1.168,-7.866 -1.168,-11.9645 0,-4.0984 0.40217,-8.0998 1.16799,-11.9644 0.76582,-3.8647 1.89527,-7.5925 3.34983,-11.1437 1.45458,-3.55132 3.23425,-6.926 5.3005,-10.0843 2.06625,-3.15838 4.41907,-6.10031 7.01994,-8.78611 2.60091,-2.6858 5.44985,-5.11554 8.50831,-7.24922 3.05845,-2.13376 6.32643,-3.97155 9.76539,-5.47359 3.43898,-1.50204 7.04893,-2.66841 10.79135,-3.4592 3.74241,-0.79085 7.6173,-1.20613 11.58612,-1.20613 7.93761,0 15.4995,1.66118 22.37743,4.66533 6.87793,3.00408 13.0719,7.35107 18.27366,12.72274 5.20177,5.3716 9.41133,11.76788 12.32046,18.87048"
style="fill:none;fill-opacity:0.03276714;stroke:#18e404;stroke-width:3.42563248;stroke-linejoin:bevel;stroke-miterlimit:4;stroke-dasharray:none;stroke-opacity:1" />
<path
inkscape:export-ydpi="90"
inkscape:export-xdpi="90"
inkscape:export-filename="/Users/Kasia/lectures_on_knot_theory/images/BorromeanRings.png"
style="fill:none;fill-opacity:0.03276714;stroke:#e86200;stroke-width:3.42563248;stroke-linejoin:bevel;stroke-miterlimit:4;stroke-dasharray:none;stroke-opacity:1"
d="m 906.58829,1089.7057 c -1.45457,3.5512 -3.23424,6.9259 -5.30049,10.0842 -2.06625,3.1584 -4.41908,6.1003 -7.01996,8.7861 -2.60091,2.6858 -5.44985,5.1155 -8.5083,7.2493 -3.05846,2.1337 -6.32643,3.9715 -9.76539,5.4735 -3.43897,1.5022 -7.04892,2.6685 -10.79133,3.4592 -3.74241,0.7909 -7.61729,1.2062 -11.5861,1.2062 -3.96882,0 -7.8437,-0.4153 -11.58612,-1.2062 -3.74242,-0.7907 -7.35238,-1.957 -10.79135,-3.4592 -3.43896,-1.502 -6.70694,-3.3398 -9.7654,-5.4735 -3.05846,-2.1337 -5.9074,-4.5634 -8.50828,-7.2493 -2.60086,-2.6858 -4.95368,-5.6277 -7.01993,-8.7861 -2.06625,-3.1583 -3.84593,-6.533 -5.3005,-10.0842 -1.45456,-3.5513 -2.58402,-7.2791 -3.34984,-11.1437 -0.76581,-3.8647 -1.16799,-7.8661 -1.16799,-11.9646 0,-4.0984 0.40217,-8.0998 1.16798,-11.9644 0.76581,-3.8646 1.89525,-7.5925 3.34982,-11.1437 1.45457,-3.5513 3.23424,-6.926 5.30049,-10.0843 2.06625,-3.1584 4.41908,-6.1003 7.01997,-8.7861 m 29.06502,-16.182 c 3.74242,-0.7909 7.61731,-1.2061 11.58613,-1.2061 7.93762,0 15.49952,1.6612 22.37746,4.6653 6.87794,3.0041 13.07191,7.3511 18.27368,12.7227 5.20178,5.3716 9.41135,11.7679 12.32047,18.8704 2.90911,7.1025 4.51778,14.9114 4.51777,23.1082"
id="path6066"
inkscape:connector-curvature="0"
sodipodi:nodetypes="csssssssssssssssssccssssc" />
<path
inkscape:export-ydpi="90"
inkscape:export-xdpi="90"
inkscape:export-filename="/Users/Kasia/lectures_on_knot_theory/images/BorromeanRings.png"
sodipodi:nodetypes="csssssssssssssccsssssssc"
inkscape:connector-curvature="0"
id="path6068"
d="m 899.88425,1009.01 c 3.74242,-0.7909 7.61731,-1.2062 11.58614,-1.2062 7.93763,0 15.49953,1.6612 22.37746,4.6654 6.87793,3.0041 13.0719,7.3511 18.27366,12.7228 5.20176,5.3716 9.41132,11.7679 12.32043,18.8703 2.90912,7.1026 4.5178,14.9114 4.5178,23.1083 0,4.0984 -0.40217,8.0998 -1.16798,11.9645 -0.76581,3.8646 -1.89526,7.5924 -3.34982,11.1437 -1.45454,3.5513 -3.23421,6.926 -5.30047,10.0843 -2.06626,3.1583 -4.4191,6.1003 -7.01999,8.7861 -2.60089,2.6858 -5.44982,5.1154 -8.50827,7.2491 -3.05846,2.1338 -6.32643,3.9716 -9.76539,5.4736 -3.43898,1.5021 -7.04893,2.6684 -10.79135,3.4592 -3.74241,0.7909 -7.61728,1.2061 -11.58608,1.2061 -3.96883,0 -7.84372,-0.4152 -11.58614,-1.2061 m -29.06503,-16.1819 c -2.60087,-2.6858 -4.95371,-5.6278 -7.01996,-8.7861 -2.06625,-3.1583 -3.84594,-6.533 -5.3005,-10.0843 -1.45458,-3.5513 -2.58402,-7.2791 -3.34983,-11.1437 -0.76581,-3.8647 -1.16797,-7.8661 -1.16797,-11.9645 0,-4.0984 0.40217,-8.0998 1.16799,-11.9645 0.76581,-3.8646 1.89526,-7.5924 3.34983,-11.1437 1.45457,-3.5513 3.23425,-6.9259 5.30049,-10.0843 2.06625,-3.1583 4.41908,-6.1003 7.01995,-8.7861"
style="fill:none;fill-opacity:0.03276714;stroke:#1aa0ed;stroke-width:3.42563248;stroke-linejoin:bevel;stroke-miterlimit:4;stroke-dasharray:none;stroke-opacity:1" />
<path
style="fill:none;fill-opacity:0.03276714;stroke:#e86200;stroke-width:1.63528061;stroke-linejoin:bevel;stroke-miterlimit:4;stroke-dasharray:none;stroke-opacity:1"
d="m 1167.8613,1047.1051 c 0.973,-4.113 1.484,-8.4667 1.484,-12.7334 0,-4.2666 -0.5014,-8.5549 -1.484,-12.7333 -0.9547,-4.0594 -2.3989,-8.0494 -4.2565,-11.8599 -1.8306,-3.7551 -4.1068,-7.3622 -6.735,-10.73228 -2.6163,-3.35474 -5.6216,-6.49712 -8.9198,-9.35068 -3.3079,-2.86189 -6.9441,-5.45765 -10.8111,-7.71505 -3.9058,-2.28009 -8.0773,-4.2449 -12.4083,-5.82533 -4.4136,-1.61059 -9.0257,-2.85655 -13.7119,-3.68151 -4.8353,-0.85119 -9.7904,-1.28363 -14.7219,-1.28363 -4.9314,-10e-6 -9.8866,0.43243 -14.7218,1.28361 -4.6863,0.82496 -9.2983,2.07091 -13.712,3.6815 -4.3309,1.58042 -8.5024,3.54523 -12.4083,5.82532 -3.867,2.25742 -7.5031,4.85319 -10.811,7.71509 -3.2983,2.85357 -6.3036,5.99596 -8.9199,9.3507 -2.6282,3.37006 -4.9044,6.97716 -6.735,10.73226 -1.8576,3.8105 -3.3018,7.8005 -4.2565,11.8599 -0.9826,4.1784 -1.4841,8.4667 -1.4841,12.7333 0,4.2667 0.5015,8.5549 1.4841,12.7334 0.9546,4.0593 2.3988,8.0494 4.2564,11.8598 1.8306,3.7551 4.1068,7.3622 6.7351,10.7323 2.6163,3.3547 5.6216,6.4971 8.9199,9.3507 3.3079,2.8619 6.944,5.4576 10.811,7.715 3.9059,2.2801 8.0774,4.2449 12.4083,5.8253 4.4137,1.6106 9.0257,2.8566 13.712,3.6816 4.8352,0.8511 9.7943,1.1128 14.7218,1.2836 9.4725,0.3283 18.9617,-0.165 28.4338,-0.501 8.1765,-0.29 18.048,3.1088 24.5042,-1.3071 3.0205,-2.066 4.2981,-6.3267 3.4833,-9.6121 -1.0422,-4.2022 -5.3756,-7.8537 -9.8738,-9.5533 m -19.429,0.3619 c -9.6932,1.5731 -18.0538,7.7067 -27.8373,8.7647 -3.9426,0.4263 -7.9639,-0.3493 -11.8585,-1.0366 -3.7752,-0.6662 -7.4903,-1.6725 -11.045,-2.9728 -3.4894,-1.2764 -6.8495,-2.8632 -9.995,-4.7039 -3.1157,-1.8232 -6.0444,-3.9195 -8.7084,-6.2299 -2.6574,-2.3047 -5.078,-4.8424 -7.185,-7.5507 -2.1176,-2.7218 -3.9508,-5.6346 -5.4251,-8.6663 -1.4966,-3.0774 -2.6597,-6.2993 -3.4286,-9.5768 -0.7916,-3.3743 -1.1954,-6.8369 -1.1954,-10.2821 0,-3.4452 0.4038,-6.9078 1.1954,-10.2822 0.7689,-3.2775 1.932,-6.4994 3.4286,-9.5768 1.4744,-3.0316 3.3075,-5.9444 5.4251,-8.6663 2.107,-2.7083 4.5276,-5.2459 7.185,-7.55065 2.664,-2.31039 5.5927,-4.40671 8.7083,-6.22993 3.1456,-1.84073 6.5057,-3.42756 9.9951,-4.70393 3.5547,-1.3003 7.2698,-2.30661 11.045,-2.9728 3.8946,-0.68725 7.8861,-1.03653 11.8585,-1.03653 3.9724,0 7.964,0.34928 11.8585,1.03653 3.7753,0.66621 7.4904,1.67253 11.045,2.97282 3.4893,1.27638 6.8494,2.86322 9.995,4.70394 3.1157,1.82321 6.0444,3.91952 8.7083,6.2299 2.6575,2.30475 5.078,4.84235 7.185,7.55065 2.1176,2.7219 3.9508,5.6347 5.4252,8.6663 1.4965,3.0774 2.6596,6.2993 3.4285,9.5768 0.7916,3.3744 1.1955,6.837 1.1955,10.2822 0,3.4452 -0.4116,6.9609 -1.1955,10.2821 m 12.4145,13.549 c 3.0267,0.1562 -2.0231,13.4528 -5.7802,18.483 m -15.0149,10.6142 c -4.6214,1.1543 -6.7171,0.3552 -9.4811,-1.0342 -2.009,-1.0098 -4.1193,-2.8071 -4.2286,-4.8378 -0.1306,-2.4279 2.9415,-4.118 4.4123,-6.177 1.4706,-2.059 2.9414,-4.118 4.4122,-6.177 1.4706,-2.059 3.0096,-4.0817 4.4121,-6.177 1.9024,-2.8419 3.9364,-5.6144 5.4252,-8.6664"
id="path6074"
inkscape:connector-curvature="0"
sodipodi:nodetypes="caaaaaaaaaaaaaaaaaaaaaaaaaaaaccaaaaaaaaaaaaaaaaaaaaaaaaaccccaaaaac"
inkscape:export-filename="/Users/Kasia/lectures_on_knot_theory/images/WhiteheadLink.png"
inkscape:export-xdpi="90"
inkscape:export-ydpi="90" />
<g
id="g6082" />
<path
inkscape:export-ydpi="90"
inkscape:export-xdpi="90"
inkscape:export-filename="/Users/Kasia/lectures_on_knot_theory/images/WhiteheadLink.png"
style="fill:none;fill-opacity:0.03276714;stroke:#18e404;stroke-width:1.93287003;stroke-linejoin:bevel;stroke-miterlimit:4;stroke-dasharray:none;stroke-opacity:1"
d="m 1161.5088,1013.868 c -1.9457,-0.4453 -3.873,-0.8542 -5.7768,-1.227 -1.9037,-0.3727 -3.7838,-0.7092 -5.635,-1.0098 m -10.7175,-1.373 c -1.7143,-0.1573 -3.3891,-0.2791 -5.019,-0.3655 -1.63,-0.086 -3.2151,-0.1375 -4.7502,-0.1533 -1.535,-0.016 -3.02,0 -4.4495,0.058 -5.7183,0.2174 -10.55,0.9946 -14.1567,2.3186 -3.6066,1.3241 -5.988,3.1951 -6.8054,5.6 -0.4086,1.2025 -0.4069,2.4816 -0.029,3.8155 0.3776,1.3339 1.1313,2.7227 2.2263,4.1446 1.0951,1.4219 2.5317,2.8768 4.2754,4.3432 1.7437,1.4663 3.7944,2.9441 6.1179,4.4114 2.3235,1.4674 4.9196,2.9244 7.754,4.3492 2.8344,1.4249 5.907,2.8177 9.1835,4.1567 3.2765,1.3389 6.7568,2.624 10.4065,3.8335 3.6498,1.2095 7.469,2.3435 11.4231,3.3801 3.9542,1.0366 7.8562,1.9269 11.6636,2.6723 3.8075,0.7455 7.5205,1.3462 11.0965,1.8037 3.576,0.4575 7.0152,0.7719 10.2751,0.9447 3.2599,0.1728 6.3406,0.2041 9.1998,0.095 2.859,-0.1087 5.4965,-0.3573 7.8701,-0.7443 2.3735,-0.387 4.4831,-0.9123 6.2864,-1.5743 1.8034,-0.662 3.3004,-1.4608 4.4487,-2.3946 1.1483,-0.9339 1.948,-2.0029 2.3567,-3.2054 0.4087,-1.2025 0.407,-2.4815 0.029,-3.8154 -0.3776,-1.3339 -1.1311,-2.7227 -2.2263,-4.1446 -1.095,-1.4218 -2.5316,-2.8768 -4.2752,-4.3432 -1.7437,-1.4663 -3.7946,-2.9441 -6.1181,-4.4114 -2.3234,-1.4674 -4.9195,-2.9244 -7.754,-4.3493 -2.8343,-1.4248 -5.907,-2.8176 -9.1835,-4.1566 -3.2764,-1.3389 -6.7568,-2.624 -10.4065,-3.8335 -0.9124,-0.3024 -1.8355,-0.6001 -2.7685,-0.8927 -0.9331,-0.2926 -1.8763,-0.5801 -2.8289,-0.8622 -0.9526,-0.2822 -1.9148,-0.5589 -2.8859,-0.8299"
id="path6080"
inkscape:connector-curvature="0"
sodipodi:nodetypes="csccssssssssssssssssssssssssssssssc" />
<path
inkscape:export-ydpi="90"
inkscape:export-xdpi="90"
inkscape:export-filename="/Users/Kasia/lectures_on_knot_theory/images/3unknots.png"
style="fill:#ffe6d5;fill-opacity:1;stroke:#18e404;stroke-width:7.73064137;stroke-linejoin:bevel;stroke-miterlimit:4;stroke-dasharray:none;stroke-opacity:1"
d="m 461.65113,481.47133 c 0,35.36043 -15.19278,67.37312 -39.75646,90.54563 -24.56346,23.17267 -58.4978,37.50531 -95.98036,37.50531 -37.48277,0 -71.41685,-14.33264 -95.98031,-37.50531 -24.56366,-23.17251 -39.75651,-55.1852 -39.75651,-90.54563 0,-35.36029 15.19285,-67.37299 39.75624,-90.54551 24.56373,-23.17282 58.49781,-37.50531 95.98058,-37.50531 74.96533,0 135.73682,57.33024 135.73682,128.05082 z"
id="path6085"
inkscape:connector-curvature="0"
sodipodi:nodetypes="ssssssss" />
<flowRoot
xml:space="preserve"
id="flowRoot6095"
style="font-style:normal;font-variant:normal;font-weight:normal;font-stretch:normal;font-size:40.000103px;line-height:125%;font-family:sans-serif;-inkscape-font-specification:'sans-serif, Normal';text-align:start;letter-spacing:0px;word-spacing:0px;writing-mode:lr-tb;text-anchor:start;fill:#000000;fill-opacity:1;stroke:none;stroke-width:1px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1"
transform="matrix(1.0611205,0,0,2.0078961,-891.12895,930.92853)"><flowRegion
id="flowRegion6097"><rect
id="rect6099"
width="485.07117"
height="203.91527"
x="1078.2792"
y="-251.45964"
style="font-style:normal;font-variant:normal;font-weight:normal;font-stretch:normal;font-size:40.000103px;line-height:125%;font-family:sans-serif;-inkscape-font-specification:'sans-serif, Normal';text-align:start;writing-mode:lr-tb;text-anchor:start" /></flowRegion><flowPara
id="flowPara3417">$B^4$</flowPara><flowPara
id="flowPara3419" /></flowRoot> <flowRoot
xml:space="preserve"
id="flowRoot6107"
style="fill:black;stroke:none;stroke-opacity:1;stroke-width:1px;stroke-linejoin:miter;stroke-linecap:butt;fill-opacity:1;font-family:sans-serif;font-style:normal;font-weight:normal;font-size:40px;line-height:125%;letter-spacing:0px;word-spacing:0px"><flowRegion
id="flowRegion6109"><rect
id="rect6111"
width="593.20807"
height="435.63715"
x="886.72241"
y="-381.22391" /></flowRegion><flowPara
id="flowPara6113" /></flowRoot> <path
style="fill:none;fill-rule:evenodd;stroke:#fc0000;stroke-width:6.95047808;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:4;stroke-dasharray:none;stroke-opacity:0.9807692;marker-start:url(#marker11429);marker-end:url(#marker11429)"
d="m 445.07836,421.01646 c 0,0 -12.56624,10.66184 -16.65388,17.46861 -6.03531,10.05009 -10.93094,21.56299 -10.77603,33.09841 0.13013,9.69056 3.92813,19.60767 9.7964,27.58202 6.4631,8.78264 26.45028,20.22679 26.45028,20.22679"
id="path5440"
inkscape:connector-curvature="0"
sodipodi:nodetypes="caaac" />
<path
sodipodi:nodetypes="ssssssss"
inkscape:connector-curvature="0"
id="path5442"
d="m 459.69184,198.29603 c 0,35.36044 -15.19278,67.37313 -39.75646,90.54564 -24.56345,23.17266 -58.49779,37.5053 -95.98035,37.5053 -37.48277,0 -71.41685,-14.33264 -95.98031,-37.5053 -24.56368,-23.17251 -39.75651,-55.1852 -39.75651,-90.54564 0,-35.36028 15.19283,-67.37299 39.75624,-90.54551 24.56373,-23.172825 58.49781,-37.50531 95.98058,-37.50531 74.96533,0 135.73681,57.33023 135.73681,128.05082 z"
style="fill:#ffe6d5;fill-opacity:1;stroke:#18e404;stroke-width:7.73064137;stroke-linejoin:bevel;stroke-miterlimit:4;stroke-dasharray:none;stroke-opacity:1"
inkscape:export-filename="/Users/Kasia/lectures_on_knot_theory/images/3unknots.png"
inkscape:export-xdpi="90"
inkscape:export-ydpi="90" />
<flowRoot
transform="matrix(1.0611205,0,0,2.0078961,-893.08819,647.7532)"
style="font-style:normal;font-variant:normal;font-weight:normal;font-stretch:normal;font-size:40.000103px;line-height:125%;font-family:sans-serif;-inkscape-font-specification:'sans-serif, Normal';text-align:start;letter-spacing:0px;word-spacing:0px;writing-mode:lr-tb;text-anchor:start;fill:#000000;fill-opacity:1;stroke:none;stroke-width:1px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1"
id="flowRoot5444"
xml:space="preserve"><flowRegion
id="flowRegion5446"><rect
style="font-style:normal;font-variant:normal;font-weight:normal;font-stretch:normal;font-size:40.000103px;line-height:125%;font-family:sans-serif;-inkscape-font-specification:'sans-serif, Normal';text-align:start;writing-mode:lr-tb;text-anchor:start"
y="-251.45964"
x="1078.2792"
height="203.91527"
width="485.07117"
id="rect5448" /></flowRegion><flowPara
id="flowPara5450">$B^4$</flowPara><flowPara
id="flowPara5452" /></flowRoot> <path
sodipodi:nodetypes="czzzc"
inkscape:connector-curvature="0"
id="path5454"
d="m 443.11908,137.84115 c 0,0 9.46524,17.17896 11.75567,27.58203 2.29044,10.40307 4.03258,18.23371 4.8982,26.6626 0.86562,8.42889 -0.49783,17.58666 -0.97963,23.90442 -0.48182,6.31775 -6.85749,20.2268 -6.85749,20.2268"
style="fill:none;fill-rule:evenodd;stroke:#fc0000;stroke-width:6.95;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:4;stroke-dasharray:none;stroke-opacity:0.9807692;marker-start:url(#marker10933);marker-end:url(#DotS)" />
<flowRoot
xml:space="preserve"
id="flowRoot5468"
style="fill:black;stroke:none;stroke-opacity:1;stroke-width:1px;stroke-linejoin:miter;stroke-linecap:butt;fill-opacity:1;font-family:sans-serif;font-style:normal;font-weight:normal;font-size:40px;line-height:125%;letter-spacing:0px;word-spacing:0px;-inkscape-font-specification:'sans-serif, Normal';font-stretch:normal;font-variant:normal;text-anchor:start;text-align:start;writing-mode:lr;"><flowRegion
id="flowRegion5470"><rect
id="rect5472"
width="120.15823"
height="41.509205"
x="535.25024"
y="108.57398"
style="-inkscape-font-specification:'sans-serif, Normal';font-family:sans-serif;font-weight:normal;font-style:normal;font-stretch:normal;font-variant:normal;font-size:40px;text-anchor:start;text-align:start;writing-mode:lr;line-height:125%;" /></flowRegion><flowPara
id="flowPara5476">$\Sigma$</flowPara></flowRoot> <flowRoot
xml:space="preserve"
id="flowRoot5478"
style="font-style:normal;font-variant:normal;font-weight:normal;font-stretch:normal;font-size:18.75px;line-height:100%;font-family:sans-serif;-inkscape-font-specification:'sans-serif, Normal';text-align:start;letter-spacing:0px;word-spacing:0px;writing-mode:lr-tb;text-anchor:start;fill:#000000;fill-opacity:1;stroke:none;stroke-width:1px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1"
transform="matrix(0.89682057,0,0,0.84167387,-6.5355418,84.152688)"><flowRegion
id="flowRegion5480"><rect
id="rect5482"
width="157.29803"
height="85.203102"
x="530.88086"
y="110.75867"
style="font-style:normal;font-variant:normal;font-weight:normal;font-stretch:normal;font-size:18.75px;line-height:100%;font-family:sans-serif;-inkscape-font-specification:'sans-serif, Normal';text-align:start;writing-mode:lr-tb;text-anchor:start" /></flowRegion><flowPara
id="flowPara5486">$\Sigma$</flowPara></flowRoot> <text
xml:space="preserve"
style="font-style:normal;font-weight:normal;font-size:40px;line-height:125%;font-family:sans-serif;letter-spacing:0px;word-spacing:0px;fill:#000000;fill-opacity:1;stroke:none;stroke-width:1px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1"
x="633.56152"
y="121.68215"
id="text5488"
sodipodi:linespacing="125%"><tspan
sodipodi:role="line"
id="tspan5490"
x="633.56152"
y="121.68215" /></text>
<flowRoot
transform="matrix(0.89682057,0,0,0.84167387,-5.555903,369.16679)"
style="font-style:normal;font-variant:normal;font-weight:normal;font-stretch:normal;font-size:18.75px;line-height:100%;font-family:sans-serif;-inkscape-font-specification:'sans-serif, Normal';text-align:start;letter-spacing:0px;word-spacing:0px;writing-mode:lr-tb;text-anchor:start;fill:#000000;fill-opacity:1;stroke:none;stroke-width:1px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1"
id="flowRoot5629"
xml:space="preserve"><flowRegion
id="flowRegion5631"><rect
style="font-style:normal;font-variant:normal;font-weight:normal;font-stretch:normal;font-size:18.75px;line-height:100%;font-family:sans-serif;-inkscape-font-specification:'sans-serif, Normal';text-align:start;writing-mode:lr-tb;text-anchor:start"
y="110.75867"
x="530.88086"
height="85.203102"
width="157.29803"
id="rect5633" /></flowRegion><flowPara
id="flowPara5637">$\widetilde{\Sigma}$</flowPara></flowRoot> </g>
</svg>

After

Width:  |  Height:  |  Size: 46 KiB

Binary file not shown.

After

Width:  |  Height:  |  Size: 10 KiB

707
images/not_knots.svg Normal file
View File

@ -0,0 +1,707 @@
<?xml version="1.0" encoding="UTF-8" standalone="no"?>
<!-- Created with Inkscape (http://www.inkscape.org/) -->
<svg
xmlns:osb="http://www.openswatchbook.org/uri/2009/osb"
xmlns:dc="http://purl.org/dc/elements/1.1/"
xmlns:cc="http://creativecommons.org/ns#"
xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#"
xmlns:svg="http://www.w3.org/2000/svg"
xmlns="http://www.w3.org/2000/svg"
xmlns:sodipodi="http://sodipodi.sourceforge.net/DTD/sodipodi-0.dtd"
xmlns:inkscape="http://www.inkscape.org/namespaces/inkscape"
width="210mm"
height="297mm"
viewBox="0 0 744.09448819 1052.3622047"
id="svg2"
version="1.1"
inkscape:version="0.91 r13725"
sodipodi:docname="not_knots.svg">
<defs
id="defs4">
<linearGradient
id="linearGradient6028"
osb:paint="solid">
<stop
style="stop-color:#ffffff;stop-opacity:1;"
offset="0"
id="stop6030" />
</linearGradient>
<marker
inkscape:isstock="true"
style="overflow:visible;"
id="marker9485"
refX="0.0"
refY="0.0"
orient="auto"
inkscape:stockid="Arrow1Send">
<path
transform="scale(0.2) rotate(180) translate(6,0)"
style="fill-rule:evenodd;stroke:#00d800;stroke-width:1pt;stroke-opacity:1;fill:#00d800;fill-opacity:1"
d="M 0.0,0.0 L 5.0,-5.0 L -12.5,0.0 L 5.0,5.0 L 0.0,0.0 z "
id="path9487" />
</marker>
<marker
inkscape:stockid="Arrow1Send"
orient="auto"
refY="0.0"
refX="0.0"
id="Arrow1Send"
style="overflow:visible;"
inkscape:isstock="true">
<path
id="path4342"
d="M 0.0,0.0 L 5.0,-5.0 L -12.5,0.0 L 5.0,5.0 L 0.0,0.0 z "
style="fill-rule:evenodd;stroke:#e30000;stroke-width:1pt;stroke-opacity:1;fill:#e30000;fill-opacity:1"
transform="scale(0.2) rotate(180) translate(6,0)" />
</marker>
<marker
inkscape:isstock="true"
style="overflow:visible"
id="marker8725"
refX="0.0"
refY="0.0"
orient="auto"
inkscape:stockid="Arrow1Sstart">
<path
transform="scale(0.2) translate(6,0)"
style="fill-rule:evenodd;stroke:#00d800;stroke-width:1pt;stroke-opacity:1;fill:#00d800;fill-opacity:1"
d="M 0.0,0.0 L 5.0,-5.0 L -12.5,0.0 L 5.0,5.0 L 0.0,0.0 z "
id="path8727" />
</marker>
<marker
inkscape:stockid="Arrow1Sstart"
orient="auto"
refY="0.0"
refX="0.0"
id="marker8511"
style="overflow:visible"
inkscape:isstock="true">
<path
id="path8513"
d="M 0.0,0.0 L 5.0,-5.0 L -12.5,0.0 L 5.0,5.0 L 0.0,0.0 z "
style="fill-rule:evenodd;stroke:#00d800;stroke-width:1pt;stroke-opacity:1;fill:#00d800;fill-opacity:1"
transform="scale(0.2) translate(6,0)" />
</marker>
<marker
inkscape:isstock="true"
style="overflow:visible"
id="marker8333"
refX="0.0"
refY="0.0"
orient="auto"
inkscape:stockid="Arrow1Sstart">
<path
transform="scale(0.2) translate(6,0)"
style="fill-rule:evenodd;stroke:#00d800;stroke-width:1pt;stroke-opacity:1;fill:#00d800;fill-opacity:1"
d="M 0.0,0.0 L 5.0,-5.0 L -12.5,0.0 L 5.0,5.0 L 0.0,0.0 z "
id="path8335" />
</marker>
<marker
inkscape:stockid="Arrow1Sstart"
orient="auto"
refY="0.0"
refX="0.0"
id="marker7839"
style="overflow:visible"
inkscape:isstock="true">
<path
id="path7841"
d="M 0.0,0.0 L 5.0,-5.0 L -12.5,0.0 L 5.0,5.0 L 0.0,0.0 z "
style="fill-rule:evenodd;stroke:#00d800;stroke-width:1pt;stroke-opacity:1;fill:#00d800;fill-opacity:1"
transform="scale(0.2) translate(6,0)" />
</marker>
<marker
inkscape:stockid="Arrow1Sstart"
orient="auto"
refY="0.0"
refX="0.0"
id="marker7685"
style="overflow:visible"
inkscape:isstock="true">
<path
id="path7687"
d="M 0.0,0.0 L 5.0,-5.0 L -12.5,0.0 L 5.0,5.0 L 0.0,0.0 z "
style="fill-rule:evenodd;stroke:#00d800;stroke-width:1pt;stroke-opacity:1;fill:#00d800;fill-opacity:1"
transform="scale(0.2) translate(6,0)" />
</marker>
<marker
inkscape:stockid="Arrow1Sstart"
orient="auto"
refY="0.0"
refX="0.0"
id="marker7537"
style="overflow:visible"
inkscape:isstock="true">
<path
id="path7539"
d="M 0.0,0.0 L 5.0,-5.0 L -12.5,0.0 L 5.0,5.0 L 0.0,0.0 z "
style="fill-rule:evenodd;stroke:#e30000;stroke-width:1pt;stroke-opacity:1;fill:#e30000;fill-opacity:1"
transform="scale(0.2) translate(6,0)" />
</marker>
<marker
inkscape:stockid="Arrow1Sstart"
orient="auto"
refY="0.0"
refX="0.0"
id="marker7475"
style="overflow:visible"
inkscape:isstock="true">
<path
id="path7477"
d="M 0.0,0.0 L 5.0,-5.0 L -12.5,0.0 L 5.0,5.0 L 0.0,0.0 z "
style="fill-rule:evenodd;stroke:#00d800;stroke-width:1pt;stroke-opacity:1;fill:#00d800;fill-opacity:1"
transform="scale(0.2) translate(6,0)" />
</marker>
<marker
inkscape:isstock="true"
style="overflow:visible"
id="marker7191"
refX="0.0"
refY="0.0"
orient="auto"
inkscape:stockid="Arrow1Sstart">
<path
transform="scale(0.2) translate(6,0)"
style="fill-rule:evenodd;stroke:#00d800;stroke-width:1pt;stroke-opacity:1;fill:#00d800;fill-opacity:1"
d="M 0.0,0.0 L 5.0,-5.0 L -12.5,0.0 L 5.0,5.0 L 0.0,0.0 z "
id="path7193" />
</marker>
<marker
inkscape:stockid="Arrow2Mend"
orient="auto"
refY="0.0"
refX="0.0"
id="marker6495"
style="overflow:visible;"
inkscape:isstock="true">
<path
id="path6497"
style="fill-rule:evenodd;stroke-width:0.625;stroke-linejoin:round;stroke:#e30000;stroke-opacity:1;fill:#e30000;fill-opacity:1"
d="M 8.7185878,4.0337352 L -2.2072895,0.016013256 L 8.7185884,-4.0017078 C 6.9730900,-1.6296469 6.9831476,1.6157441 8.7185878,4.0337352 z "
transform="scale(0.6) rotate(180) translate(0,0)" />
</marker>
<marker
inkscape:stockid="Arrow1Sstart"
orient="auto"
refY="0.0"
refX="0.0"
id="Arrow1Sstart"
style="overflow:visible"
inkscape:isstock="true">
<path
id="path4339"
d="M 0.0,0.0 L 5.0,-5.0 L -12.5,0.0 L 5.0,5.0 L 0.0,0.0 z "
style="fill-rule:evenodd;stroke:#00d800;stroke-width:1pt;stroke-opacity:1;fill:#00d800;fill-opacity:1"
transform="scale(0.2) translate(6,0)" />
</marker>
<marker
inkscape:stockid="Arrow1Sstart"
orient="auto"
refY="0.0"
refX="0.0"
id="marker6279"
style="overflow:visible"
inkscape:isstock="true">
<path
id="path6281"
d="M 0.0,0.0 L 5.0,-5.0 L -12.5,0.0 L 5.0,5.0 L 0.0,0.0 z "
style="fill-rule:evenodd;stroke:#00d800;stroke-width:1pt;stroke-opacity:1;fill:#00d800;fill-opacity:1"
transform="scale(0.2) translate(6,0)" />
</marker>
<marker
inkscape:stockid="Arrow1Sstart"
orient="auto"
refY="0.0"
refX="0.0"
id="marker6149"
style="overflow:visible"
inkscape:isstock="true">
<path
id="path6151"
d="M 0.0,0.0 L 5.0,-5.0 L -12.5,0.0 L 5.0,5.0 L 0.0,0.0 z "
style="fill-rule:evenodd;stroke:#e30000;stroke-width:1pt;stroke-opacity:1;fill:#e30000;fill-opacity:1"
transform="scale(0.2) translate(6,0)" />
</marker>
<marker
inkscape:stockid="Arrow1Sstart"
orient="auto"
refY="0.0"
refX="0.0"
id="marker6049"
style="overflow:visible"
inkscape:isstock="true">
<path
id="path6051"
d="M 0.0,0.0 L 5.0,-5.0 L -12.5,0.0 L 5.0,5.0 L 0.0,0.0 z "
style="fill-rule:evenodd;stroke:#00d800;stroke-width:1pt;stroke-opacity:1;fill:#00d800;fill-opacity:1"
transform="scale(0.2) translate(6,0)" />
</marker>
<marker
inkscape:stockid="Arrow1Sstart"
orient="auto"
refY="0.0"
refX="0.0"
id="marker5867"
style="overflow:visible"
inkscape:isstock="true">
<path
id="path5869"
d="M 0.0,0.0 L 5.0,-5.0 L -12.5,0.0 L 5.0,5.0 L 0.0,0.0 z "
style="fill-rule:evenodd;stroke:#00d800;stroke-width:1pt;stroke-opacity:1;fill:#00d800;fill-opacity:1"
transform="scale(0.2) translate(6,0)" />
</marker>
<marker
inkscape:isstock="true"
style="overflow:visible"
id="marker5529"
refX="0.0"
refY="0.0"
orient="auto"
inkscape:stockid="Arrow1Sstart">
<path
transform="scale(0.2) translate(6,0)"
style="fill-rule:evenodd;stroke:#00d800;stroke-width:1pt;stroke-opacity:1;fill:#00d800;fill-opacity:1"
d="M 0.0,0.0 L 5.0,-5.0 L -12.5,0.0 L 5.0,5.0 L 0.0,0.0 z "
id="path5531" />
</marker>
<marker
inkscape:isstock="true"
style="overflow:visible"
id="marker5441"
refX="0.0"
refY="0.0"
orient="auto"
inkscape:stockid="Arrow1Sstart">
<path
transform="scale(0.2) translate(6,0)"
style="fill-rule:evenodd;stroke:#e30000;stroke-width:1pt;stroke-opacity:1;fill:#e30000;fill-opacity:1"
d="M 0.0,0.0 L 5.0,-5.0 L -12.5,0.0 L 5.0,5.0 L 0.0,0.0 z "
id="path5443" />
</marker>
<marker
inkscape:stockid="Arrow1Sstart"
orient="auto"
refY="0.0"
refX="0.0"
id="marker4911"
style="overflow:visible"
inkscape:isstock="true">
<path
id="path4913"
d="M 0.0,0.0 L 5.0,-5.0 L -12.5,0.0 L 5.0,5.0 L 0.0,0.0 z "
style="fill-rule:evenodd;stroke:#e30000;stroke-width:1pt;stroke-opacity:1;fill:#e30000;fill-opacity:1"
transform="scale(0.2) translate(6,0)" />
</marker>
<marker
inkscape:stockid="Arrow2Mend"
orient="auto"
refY="0.0"
refX="0.0"
id="Arrow2Mend"
style="overflow:visible;"
inkscape:isstock="true">
<path
id="path4354"
style="fill-rule:evenodd;stroke-width:0.625;stroke-linejoin:round;stroke:#00d800;stroke-opacity:1;fill:#00d800;fill-opacity:1"
d="M 8.7185878,4.0337352 L -2.2072895,0.016013256 L 8.7185884,-4.0017078 C 6.9730900,-1.6296469 6.9831476,1.6157441 8.7185878,4.0337352 z "
transform="scale(0.6) rotate(180) translate(0,0)" />
</marker>
<marker
inkscape:stockid="Arrow2Mstart"
orient="auto"
refY="0.0"
refX="0.0"
id="marker4699"
style="overflow:visible"
inkscape:isstock="true">
<path
id="path4701"
style="fill-rule:evenodd;stroke-width:0.625;stroke-linejoin:round;stroke:#00d800;stroke-opacity:1;fill:#00d800;fill-opacity:1"
d="M 8.7185878,4.0337352 L -2.2072895,0.016013256 L 8.7185884,-4.0017078 C 6.9730900,-1.6296469 6.9831476,1.6157441 8.7185878,4.0337352 z "
transform="scale(0.6) translate(0,0)" />
</marker>
<marker
inkscape:stockid="Arrow2Mstart"
orient="auto"
refY="0.0"
refX="0.0"
id="Arrow2Mstart"
style="overflow:visible"
inkscape:isstock="true">
<path
id="path4351"
style="fill-rule:evenodd;stroke-width:0.625;stroke-linejoin:round;stroke:#00d800;stroke-opacity:1;fill:#00d800;fill-opacity:1"
d="M 8.7185878,4.0337352 L -2.2072895,0.016013256 L 8.7185884,-4.0017078 C 6.9730900,-1.6296469 6.9831476,1.6157441 8.7185878,4.0337352 z "
transform="scale(0.6) translate(0,0)" />
</marker>
<marker
inkscape:stockid="Arrow1Mstart"
orient="auto"
refY="0.0"
refX="0.0"
id="Arrow1Mstart"
style="overflow:visible"
inkscape:isstock="true">
<path
id="path4333"
d="M 0.0,0.0 L 5.0,-5.0 L -12.5,0.0 L 5.0,5.0 L 0.0,0.0 z "
style="fill-rule:evenodd;stroke:#00d800;stroke-width:1pt;stroke-opacity:1;fill:#00d800;fill-opacity:1"
transform="scale(0.4) translate(10,0)" />
</marker>
<marker
inkscape:stockid="Arrow1Lstart"
orient="auto"
refY="0.0"
refX="0.0"
id="Arrow1Lstart"
style="overflow:visible"
inkscape:isstock="true">
<path
id="path4327"
d="M 0.0,0.0 L 5.0,-5.0 L -12.5,0.0 L 5.0,5.0 L 0.0,0.0 z "
style="fill-rule:evenodd;stroke:#00d800;stroke-width:1pt;stroke-opacity:1;fill:#00d800;fill-opacity:1"
transform="scale(0.8) translate(12.5,0)" />
</marker>
<marker
inkscape:stockid="Arrow1Lend"
orient="auto"
refY="0.0"
refX="0.0"
id="Arrow1Lend"
style="overflow:visible;"
inkscape:isstock="true">
<path
id="path4330"
d="M 0.0,0.0 L 5.0,-5.0 L -12.5,0.0 L 5.0,5.0 L 0.0,0.0 z "
style="fill-rule:evenodd;stroke:#00d800;stroke-width:1pt;stroke-opacity:1;fill:#00d800;fill-opacity:1"
transform="scale(0.8) rotate(180) translate(12.5,0)" />
</marker>
<pattern
patternUnits="userSpaceOnUse"
width="138.10021"
height="139.11037"
patternTransform="translate(168.84081,1754.5635)"
id="pattern6034">
<ellipse
ry="67.491684"
rx="66.986603"
cy="69.555183"
cx="69.050102"
id="path3482"
style="fill:none;fill-opacity:1;stroke:#00ef00;stroke-width:4.12699986;stroke-linejoin:bevel;stroke-miterlimit:4;stroke-dasharray:none;stroke-opacity:1" />
</pattern>
</defs>
<sodipodi:namedview
id="base"
pagecolor="#ffffff"
bordercolor="#666666"
borderopacity="1.0"
inkscape:pageopacity="0.0"
inkscape:pageshadow="2"
inkscape:zoom="0.91545961"
inkscape:cx="911.38483"
inkscape:cy="1195.7783"
inkscape:document-units="px"
inkscape:current-layer="layer1"
showgrid="false"
inkscape:window-width="1386"
inkscape:window-height="855"
inkscape:window-x="0"
inkscape:window-y="1"
inkscape:window-maximized="1"
inkscape:snap-global="true"
inkscape:snap-nodes="false" />
<metadata
id="metadata7">
<rdf:RDF>
<cc:Work
rdf:about="">
<dc:format>image/svg+xml</dc:format>
<dc:type
rdf:resource="http://purl.org/dc/dcmitype/StillImage" />
<dc:title></dc:title>
</cc:Work>
</rdf:RDF>
</metadata>
<g
inkscape:label="Layer 1"
inkscape:groupmode="layer"
id="layer1">
<path
style="fill:none;fill-opacity:0.03276714;stroke:#e86200;stroke-width:4.10533857;stroke-linejoin:bevel;stroke-miterlimit:4;stroke-dasharray:none;stroke-opacity:1"
d="m 949.56479,1396.7109 c 3.46665,2.894 6.60268,6.064 9.35673,9.4672 2.75405,3.4032 5.12614,7.0395 7.06488,10.8661 1.93874,3.8266 3.44416,7.8434 4.46488,12.0077 1.02072,4.1642 1.55676,8.4758 1.55676,12.892 0,8.8323 -2.14417,17.2465 -6.02167,24.8997 -3.87749,7.6531 -9.48829,14.5452 -16.42159,20.3333 -6.93332,5.788 -15.1891,10.472 -24.35651,13.7091 -9.1674,3.237 -19.24644,5.027 -29.82629,5.027 -10.57984,0 -20.6589,-1.79 -29.8263,-5.027 -9.16743,-3.237 -17.4232,-7.921 -24.35649,-13.7091 -6.93327,-5.7881 -12.54407,-12.6802 -16.42158,-20.3333 -3.87749,-7.6532 -6.02167,-16.0674 -6.02168,-24.8997 0,-8.8323 2.14416,-17.2466 6.02165,-24.8997 3.87749,-7.6531 9.4883,-14.5453 16.4216,-20.3333 6.93332,-5.788 15.18911,-10.4721 24.35651,-13.7092 9.1674,-3.2369 19.24645,-5.027 29.82629,-5.027 5.28993,0 10.45465,0.4475 15.44281,1.2996 4.98819,0.8521 9.7998,2.1089 14.3835,3.7274 4.58372,1.6186 8.93951,3.5988 13.01604,5.898"
id="path3480"
inkscape:connector-curvature="0"
sodipodi:nodetypes="cssssssssssssssssssc"
inkscape:export-filename="/Users/Kasia/lectures_on_knot_theory/images/Hopf.png"
inkscape:export-xdpi="90"
inkscape:export-ydpi="90" />
<path
sodipodi:nodetypes="ssssssss"
inkscape:connector-curvature="0"
id="path6041"
d="m 1174.1448,1234.3679 c 0,16.3937 -6.4347,31.2354 -16.8382,41.9786 -10.4036,10.7433 -24.7759,17.3881 -40.6512,17.3881 -15.8752,0 -30.2476,-6.6448 -40.6511,-17.3881 -10.4035,-10.7432 -16.8383,-25.5849 -16.8383,-41.9786 0,-16.3937 6.4347,-31.2354 16.8383,-41.9786 10.4035,-10.7433 24.7759,-17.3881 40.6511,-17.3881 31.7505,0 57.4894,26.5793 57.4894,59.3667 z"
style="fill:none;fill-opacity:0.03276714;stroke:#18e404;stroke-width:3.42563248;stroke-linejoin:bevel;stroke-miterlimit:4;stroke-dasharray:none;stroke-opacity:1"
inkscape:export-filename="/Users/Kasia/lectures_on_knot_theory/images/3unknots.png"
inkscape:export-xdpi="90"
inkscape:export-ydpi="90" />
<path
style="fill:none;fill-opacity:0.03276714;stroke:#e86200;stroke-width:3.42563248;stroke-linejoin:bevel;stroke-miterlimit:4;stroke-dasharray:none;stroke-opacity:1"
d="m 908.98533,1233.4985 c -10e-6,16.3937 -6.43473,31.2354 -16.83825,41.9786 -10.40354,10.7433 -24.77587,17.3881 -40.65113,17.3881 -15.87526,0 -30.2476,-6.6448 -40.65114,-17.3881 -10.40353,-10.7432 -16.83825,-25.5849 -16.83825,-41.9786 -1e-5,-16.3937 6.43471,-31.2354 16.83825,-41.9786 10.40354,-10.7432 24.77588,-17.3881 40.65114,-17.3881 31.7505,0 57.4894,26.5793 57.48938,59.3667 z"
id="path6045"
inkscape:connector-curvature="0"
sodipodi:nodetypes="ssssssss"
inkscape:export-filename="/Users/Kasia/lectures_on_knot_theory/images/3unknots.png"
inkscape:export-xdpi="90"
inkscape:export-ydpi="90" />
<path
sodipodi:nodetypes="ssssssss"
inkscape:connector-curvature="0"
id="path6047"
d="m 908.98533,1233.4985 c -10e-6,16.3937 -6.43473,31.2354 -16.83825,41.9786 -10.40354,10.7433 -24.77587,17.3881 -40.65113,17.3881 -15.87526,0 -30.2476,-6.6448 -40.65114,-17.3881 -10.40353,-10.7432 -16.83825,-25.5849 -16.83825,-41.9786 -1e-5,-16.3937 6.43471,-31.2354 16.83825,-41.9786 10.40354,-10.7432 24.77588,-17.3881 40.65114,-17.3881 31.7505,0 57.4894,26.5793 57.48938,59.3667 z"
style="fill:none;fill-opacity:0.03276714;stroke:#e86200;stroke-width:3.42563248;stroke-linejoin:bevel;stroke-miterlimit:4;stroke-dasharray:none;stroke-opacity:1"
inkscape:export-filename="/Users/Kasia/lectures_on_knot_theory/images/3unknots.png"
inkscape:export-xdpi="90"
inkscape:export-ydpi="90" />
<path
style="fill:none;fill-opacity:0.03276714;stroke:#1aa0ed;stroke-width:3.42563248;stroke-linejoin:bevel;stroke-miterlimit:4;stroke-dasharray:none;stroke-opacity:1"
d="m 1044.0284,1235.5114 c 0,16.3937 -6.4347,31.2354 -16.8382,41.9787 -10.4036,10.7432 -24.7759,17.388 -40.65118,17.388 -15.87525,0 -30.2476,-6.6448 -40.65113,-17.388 -10.40353,-10.7433 -16.83825,-25.585 -16.83826,-41.9787 0,-16.3936 6.43472,-31.2353 16.83825,-41.9786 10.40354,-10.7432 24.77589,-17.3881 40.65114,-17.3881 31.75048,0 57.48938,26.5794 57.48938,59.3667 z"
id="path6049"
inkscape:connector-curvature="0"
sodipodi:nodetypes="ssssssss"
inkscape:export-filename="/Users/Kasia/lectures_on_knot_theory/images/3unknots.png"
inkscape:export-xdpi="90"
inkscape:export-ydpi="90" />
<path
sodipodi:nodetypes="cssssssssssssc"
inkscape:connector-curvature="0"
id="path6052"
d="m 935.77533,1487.7729 c -6.93327,-5.788 -12.54408,-12.6802 -16.42157,-20.3333 -3.87751,-7.6532 -6.02167,-16.0674 -6.02169,-24.8997 0,-8.8323 2.14415,-17.2465 6.02165,-24.8997 3.87749,-7.6531 9.4883,-14.5452 16.4216,-20.3333 6.93332,-5.788 15.1891,-10.472 24.35652,-13.7091 9.16741,-3.237 19.24645,-5.027 29.82629,-5.027 21.15967,0 40.31627,7.16 54.18287,18.7361 13.8665,11.5761 22.4432,27.5684 22.4432,45.233 0,8.8323 -2.1442,17.2465 -6.0217,24.8997 -3.8775,7.6533 -9.4883,14.5453 -16.4216,20.3333 -6.9333,5.788 -15.1891,10.4721 -24.3565,13.7092 -9.1674,3.2369 -19.2464,5.027 -29.82627,5.027 -10.57985,0 -20.6589,-1.7901 -29.82631,-5.027"
style="fill:none;fill-opacity:0.03276714;stroke:#1aa0ed;stroke-width:4.10533857;stroke-linejoin:bevel;stroke-miterlimit:4;stroke-dasharray:none;stroke-opacity:1"
inkscape:export-filename="/Users/Kasia/lectures_on_knot_theory/images/Hopf.png"
inkscape:export-xdpi="90"
inkscape:export-ydpi="90" />
<path
inkscape:export-ydpi="90"
inkscape:export-xdpi="90"
inkscape:export-filename="/Users/Kasia/lectures_on_knot_theory/images/BorromeanRings.png"
sodipodi:nodetypes="cssssssssccssssssssssssssc"
inkscape:connector-curvature="0"
id="path6062"
d="m 939.50185,1025.3518 c 0,4.0985 -0.40217,8.0999 -1.16797,11.9645 -0.76582,3.8646 -1.89526,7.5925 -3.34982,11.1438 -1.45457,3.5512 -3.23423,6.9259 -5.30049,10.0843 -2.06625,3.1583 -4.41908,6.1002 -7.01998,8.786 -2.60089,2.6858 -5.44983,5.1155 -8.50829,7.2492 -3.05845,2.1337 -6.32643,3.9716 -9.76539,5.4736 -3.43895,1.5021 -7.0489,2.6684 -10.79131,3.4592 -3.74242,0.7909 -7.61729,1.2062 -11.5861,1.2062 -3.96882,0 -7.84371,-0.4153 -11.58614,-1.2062 m -29.06503,-16.182 c -2.60088,-2.6858 -4.95371,-5.6277 -7.01996,-8.786 -2.06625,-3.1584 -3.84592,-6.5331 -5.30048,-10.0843 -1.45455,-3.5513 -2.58401,-7.2791 -3.34982,-11.1438 -0.76582,-3.8646 -1.168,-7.866 -1.168,-11.9645 0,-4.0984 0.40217,-8.0998 1.16799,-11.9644 0.76582,-3.8647 1.89527,-7.5925 3.34983,-11.1437 1.45458,-3.55132 3.23425,-6.926 5.3005,-10.0843 2.06625,-3.15838 4.41907,-6.10031 7.01994,-8.78611 2.60091,-2.6858 5.44985,-5.11554 8.50831,-7.24922 3.05845,-2.13376 6.32643,-3.97155 9.76539,-5.47359 3.43898,-1.50204 7.04893,-2.66841 10.79135,-3.4592 3.74241,-0.79085 7.6173,-1.20613 11.58612,-1.20613 7.93761,0 15.4995,1.66118 22.37743,4.66533 6.87793,3.00408 13.0719,7.35107 18.27366,12.72274 5.20177,5.3716 9.41133,11.76788 12.32046,18.87048"
style="fill:none;fill-opacity:0.03276714;stroke:#18e404;stroke-width:3.42563248;stroke-linejoin:bevel;stroke-miterlimit:4;stroke-dasharray:none;stroke-opacity:1" />
<path
inkscape:export-ydpi="90"
inkscape:export-xdpi="90"
inkscape:export-filename="/Users/Kasia/lectures_on_knot_theory/images/BorromeanRings.png"
style="fill:none;fill-opacity:0.03276714;stroke:#e86200;stroke-width:3.42563248;stroke-linejoin:bevel;stroke-miterlimit:4;stroke-dasharray:none;stroke-opacity:1"
d="m 906.58829,1089.7057 c -1.45457,3.5512 -3.23424,6.9259 -5.30049,10.0842 -2.06625,3.1584 -4.41908,6.1003 -7.01996,8.7861 -2.60091,2.6858 -5.44985,5.1155 -8.5083,7.2493 -3.05846,2.1337 -6.32643,3.9715 -9.76539,5.4735 -3.43897,1.5022 -7.04892,2.6685 -10.79133,3.4592 -3.74241,0.7909 -7.61729,1.2062 -11.5861,1.2062 -3.96882,0 -7.8437,-0.4153 -11.58612,-1.2062 -3.74242,-0.7907 -7.35238,-1.957 -10.79135,-3.4592 -3.43896,-1.502 -6.70694,-3.3398 -9.7654,-5.4735 -3.05846,-2.1337 -5.9074,-4.5634 -8.50828,-7.2493 -2.60086,-2.6858 -4.95368,-5.6277 -7.01993,-8.7861 -2.06625,-3.1583 -3.84593,-6.533 -5.3005,-10.0842 -1.45456,-3.5513 -2.58402,-7.2791 -3.34984,-11.1437 -0.76581,-3.8647 -1.16799,-7.8661 -1.16799,-11.9646 0,-4.0984 0.40217,-8.0998 1.16798,-11.9644 0.76581,-3.8646 1.89525,-7.5925 3.34982,-11.1437 1.45457,-3.5513 3.23424,-6.926 5.30049,-10.0843 2.06625,-3.1584 4.41908,-6.1003 7.01997,-8.7861 m 29.06502,-16.182 c 3.74242,-0.7909 7.61731,-1.2061 11.58613,-1.2061 7.93762,0 15.49952,1.6612 22.37746,4.6653 6.87794,3.0041 13.07191,7.3511 18.27368,12.7227 5.20178,5.3716 9.41135,11.7679 12.32047,18.8704 2.90911,7.1025 4.51778,14.9114 4.51777,23.1082"
id="path6066"
inkscape:connector-curvature="0"
sodipodi:nodetypes="csssssssssssssssssccssssc" />
<path
inkscape:export-ydpi="90"
inkscape:export-xdpi="90"
inkscape:export-filename="/Users/Kasia/lectures_on_knot_theory/images/BorromeanRings.png"
sodipodi:nodetypes="csssssssssssssccsssssssc"
inkscape:connector-curvature="0"
id="path6068"
d="m 899.88425,1009.01 c 3.74242,-0.7909 7.61731,-1.2062 11.58614,-1.2062 7.93763,0 15.49953,1.6612 22.37746,4.6654 6.87793,3.0041 13.0719,7.3511 18.27366,12.7228 5.20176,5.3716 9.41132,11.7679 12.32043,18.8703 2.90912,7.1026 4.5178,14.9114 4.5178,23.1083 0,4.0984 -0.40217,8.0998 -1.16798,11.9645 -0.76581,3.8646 -1.89526,7.5924 -3.34982,11.1437 -1.45454,3.5513 -3.23421,6.926 -5.30047,10.0843 -2.06626,3.1583 -4.4191,6.1003 -7.01999,8.7861 -2.60089,2.6858 -5.44982,5.1154 -8.50827,7.2491 -3.05846,2.1338 -6.32643,3.9716 -9.76539,5.4736 -3.43898,1.5021 -7.04893,2.6684 -10.79135,3.4592 -3.74241,0.7909 -7.61728,1.2061 -11.58608,1.2061 -3.96883,0 -7.84372,-0.4152 -11.58614,-1.2061 m -29.06503,-16.1819 c -2.60087,-2.6858 -4.95371,-5.6278 -7.01996,-8.7861 -2.06625,-3.1583 -3.84594,-6.533 -5.3005,-10.0843 -1.45458,-3.5513 -2.58402,-7.2791 -3.34983,-11.1437 -0.76581,-3.8647 -1.16797,-7.8661 -1.16797,-11.9645 0,-4.0984 0.40217,-8.0998 1.16799,-11.9645 0.76581,-3.8646 1.89526,-7.5924 3.34983,-11.1437 1.45457,-3.5513 3.23425,-6.9259 5.30049,-10.0843 2.06625,-3.1583 4.41908,-6.1003 7.01995,-8.7861"
style="fill:none;fill-opacity:0.03276714;stroke:#1aa0ed;stroke-width:3.42563248;stroke-linejoin:bevel;stroke-miterlimit:4;stroke-dasharray:none;stroke-opacity:1" />
<path
style="fill:none;fill-opacity:0.03276714;stroke:#e86200;stroke-width:1.63528061;stroke-linejoin:bevel;stroke-miterlimit:4;stroke-dasharray:none;stroke-opacity:1"
d="m 1167.8613,1047.1051 c 0.973,-4.113 1.484,-8.4667 1.484,-12.7334 0,-4.2666 -0.5014,-8.5549 -1.484,-12.7333 -0.9547,-4.0594 -2.3989,-8.0494 -4.2565,-11.8599 -1.8306,-3.7551 -4.1068,-7.3622 -6.735,-10.73228 -2.6163,-3.35474 -5.6216,-6.49712 -8.9198,-9.35068 -3.3079,-2.86189 -6.9441,-5.45765 -10.8111,-7.71505 -3.9058,-2.28009 -8.0773,-4.2449 -12.4083,-5.82533 -4.4136,-1.61059 -9.0257,-2.85655 -13.7119,-3.68151 -4.8353,-0.85119 -9.7904,-1.28363 -14.7219,-1.28363 -4.9314,-10e-6 -9.8866,0.43243 -14.7218,1.28361 -4.6863,0.82496 -9.2983,2.07091 -13.712,3.6815 -4.3309,1.58042 -8.5024,3.54523 -12.4083,5.82532 -3.867,2.25742 -7.5031,4.85319 -10.811,7.71509 -3.2983,2.85357 -6.3036,5.99596 -8.9199,9.3507 -2.6282,3.37006 -4.9044,6.97716 -6.735,10.73226 -1.8576,3.8105 -3.3018,7.8005 -4.2565,11.8599 -0.9826,4.1784 -1.4841,8.4667 -1.4841,12.7333 0,4.2667 0.5015,8.5549 1.4841,12.7334 0.9546,4.0593 2.3988,8.0494 4.2564,11.8598 1.8306,3.7551 4.1068,7.3622 6.7351,10.7323 2.6163,3.3547 5.6216,6.4971 8.9199,9.3507 3.3079,2.8619 6.944,5.4576 10.811,7.715 3.9059,2.2801 8.0774,4.2449 12.4083,5.8253 4.4137,1.6106 9.0257,2.8566 13.712,3.6816 4.8352,0.8511 9.7943,1.1128 14.7218,1.2836 9.4725,0.3283 18.9617,-0.165 28.4338,-0.501 8.1765,-0.29 18.048,3.1088 24.5042,-1.3071 3.0205,-2.066 4.2981,-6.3267 3.4833,-9.6121 -1.0422,-4.2022 -5.3756,-7.8537 -9.8738,-9.5533 m -19.429,0.3619 c -9.6932,1.5731 -18.0538,7.7067 -27.8373,8.7647 -3.9426,0.4263 -7.9639,-0.3493 -11.8585,-1.0366 -3.7752,-0.6662 -7.4903,-1.6725 -11.045,-2.9728 -3.4894,-1.2764 -6.8495,-2.8632 -9.995,-4.7039 -3.1157,-1.8232 -6.0444,-3.9195 -8.7084,-6.2299 -2.6574,-2.3047 -5.078,-4.8424 -7.185,-7.5507 -2.1176,-2.7218 -3.9508,-5.6346 -5.4251,-8.6663 -1.4966,-3.0774 -2.6597,-6.2993 -3.4286,-9.5768 -0.7916,-3.3743 -1.1954,-6.8369 -1.1954,-10.2821 0,-3.4452 0.4038,-6.9078 1.1954,-10.2822 0.7689,-3.2775 1.932,-6.4994 3.4286,-9.5768 1.4744,-3.0316 3.3075,-5.9444 5.4251,-8.6663 2.107,-2.7083 4.5276,-5.2459 7.185,-7.55065 2.664,-2.31039 5.5927,-4.40671 8.7083,-6.22993 3.1456,-1.84073 6.5057,-3.42756 9.9951,-4.70393 3.5547,-1.3003 7.2698,-2.30661 11.045,-2.9728 3.8946,-0.68725 7.8861,-1.03653 11.8585,-1.03653 3.9724,0 7.964,0.34928 11.8585,1.03653 3.7753,0.66621 7.4904,1.67253 11.045,2.97282 3.4893,1.27638 6.8494,2.86322 9.995,4.70394 3.1157,1.82321 6.0444,3.91952 8.7083,6.2299 2.6575,2.30475 5.078,4.84235 7.185,7.55065 2.1176,2.7219 3.9508,5.6347 5.4252,8.6663 1.4965,3.0774 2.6596,6.2993 3.4285,9.5768 0.7916,3.3744 1.1955,6.837 1.1955,10.2822 0,3.4452 -0.4116,6.9609 -1.1955,10.2821 m 12.4145,13.549 c 3.0267,0.1562 -2.0231,13.4528 -5.7802,18.483 m -15.0149,10.6142 c -4.6214,1.1543 -6.7171,0.3552 -9.4811,-1.0342 -2.009,-1.0098 -4.1193,-2.8071 -4.2286,-4.8378 -0.1306,-2.4279 2.9415,-4.118 4.4123,-6.177 1.4706,-2.059 2.9414,-4.118 4.4122,-6.177 1.4706,-2.059 3.0096,-4.0817 4.4121,-6.177 1.9024,-2.8419 3.9364,-5.6144 5.4252,-8.6664"
id="path6074"
inkscape:connector-curvature="0"
sodipodi:nodetypes="caaaaaaaaaaaaaaaaaaaaaaaaaaaaccaaaaaaaaaaaaaaaaaaaaaaaaaccccaaaaac"
inkscape:export-filename="/Users/Kasia/lectures_on_knot_theory/images/WhiteheadLink.png"
inkscape:export-xdpi="90"
inkscape:export-ydpi="90" />
<g
id="g6082" />
<path
inkscape:export-ydpi="90"
inkscape:export-xdpi="90"
inkscape:export-filename="/Users/Kasia/lectures_on_knot_theory/images/WhiteheadLink.png"
style="fill:none;fill-opacity:0.03276714;stroke:#18e404;stroke-width:1.93287003;stroke-linejoin:bevel;stroke-miterlimit:4;stroke-dasharray:none;stroke-opacity:1"
d="m 1161.5088,1013.868 c -1.9457,-0.4453 -3.873,-0.8542 -5.7768,-1.227 -1.9037,-0.3727 -3.7838,-0.7092 -5.635,-1.0098 m -10.7175,-1.373 c -1.7143,-0.1573 -3.3891,-0.2791 -5.019,-0.3655 -1.63,-0.086 -3.2151,-0.1375 -4.7502,-0.1533 -1.535,-0.016 -3.02,0 -4.4495,0.058 -5.7183,0.2174 -10.55,0.9946 -14.1567,2.3186 -3.6066,1.3241 -5.988,3.1951 -6.8054,5.6 -0.4086,1.2025 -0.4069,2.4816 -0.029,3.8155 0.3776,1.3339 1.1313,2.7227 2.2263,4.1446 1.0951,1.4219 2.5317,2.8768 4.2754,4.3432 1.7437,1.4663 3.7944,2.9441 6.1179,4.4114 2.3235,1.4674 4.9196,2.9244 7.754,4.3492 2.8344,1.4249 5.907,2.8177 9.1835,4.1567 3.2765,1.3389 6.7568,2.624 10.4065,3.8335 3.6498,1.2095 7.469,2.3435 11.4231,3.3801 3.9542,1.0366 7.8562,1.9269 11.6636,2.6723 3.8075,0.7455 7.5205,1.3462 11.0965,1.8037 3.576,0.4575 7.0152,0.7719 10.2751,0.9447 3.2599,0.1728 6.3406,0.2041 9.1998,0.095 2.859,-0.1087 5.4965,-0.3573 7.8701,-0.7443 2.3735,-0.387 4.4831,-0.9123 6.2864,-1.5743 1.8034,-0.662 3.3004,-1.4608 4.4487,-2.3946 1.1483,-0.9339 1.948,-2.0029 2.3567,-3.2054 0.4087,-1.2025 0.407,-2.4815 0.029,-3.8154 -0.3776,-1.3339 -1.1311,-2.7227 -2.2263,-4.1446 -1.095,-1.4218 -2.5316,-2.8768 -4.2752,-4.3432 -1.7437,-1.4663 -3.7946,-2.9441 -6.1181,-4.4114 -2.3234,-1.4674 -4.9195,-2.9244 -7.754,-4.3493 -2.8343,-1.4248 -5.907,-2.8176 -9.1835,-4.1566 -3.2764,-1.3389 -6.7568,-2.624 -10.4065,-3.8335 -0.9124,-0.3024 -1.8355,-0.6001 -2.7685,-0.8927 -0.9331,-0.2926 -1.8763,-0.5801 -2.8289,-0.8622 -0.9526,-0.2822 -1.9148,-0.5589 -2.8859,-0.8299"
id="path6080"
inkscape:connector-curvature="0"
sodipodi:nodetypes="csccssssssssssssssssssssssssssssssc" />
<path
inkscape:export-ydpi="90"
inkscape:export-xdpi="90"
inkscape:export-filename="/Users/Kasia/lectures_on_knot_theory/images/3unknots.png"
style="fill:#ffe6d5;fill-opacity:1;stroke:#18e404;stroke-width:8.89796829;stroke-linejoin:bevel;stroke-miterlimit:4;stroke-dasharray:none;stroke-opacity:1"
d="m 464.15725,559.44551 c 0,42.01204 -16.94072,80.04659 -44.33045,107.57805 -27.38949,27.53165 -65.22799,44.56038 -107.02292,44.56038 -41.79518,0 -79.63338,-17.02873 -107.02287,-44.56038 -27.38973,-27.53146 -44.33051,-65.56601 -44.33051,-107.57805 0,-42.01186 16.94078,-80.04643 44.33021,-107.5779 27.38979,-27.53183 65.22799,-44.56038 107.02317,-44.56038 83.59011,0 151.35337,68.11455 151.35337,152.13828 z"
id="path6085"
inkscape:connector-curvature="0"
sodipodi:nodetypes="ssssssss" />
<flowRoot
xml:space="preserve"
id="flowRoot6095"
style="font-style:normal;font-variant:normal;font-weight:normal;font-stretch:normal;font-size:40.000103px;line-height:125%;font-family:sans-serif;-inkscape-font-specification:'sans-serif, Normal';text-align:start;letter-spacing:0px;word-spacing:0px;writing-mode:lr-tb;text-anchor:start;fill:#000000;fill-opacity:1;stroke:none;stroke-width:1px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1"
transform="matrix(1.1832027,0,0,2.3855987,-1044.2605,1093.4495)"><flowRegion
id="flowRegion6097"><rect
id="rect6099"
width="485.07117"
height="203.91527"
x="1078.2792"
y="-251.45964"
style="font-style:normal;font-variant:normal;font-weight:normal;font-stretch:normal;font-size:40.000103px;line-height:125%;font-family:sans-serif;-inkscape-font-specification:'sans-serif, Normal';text-align:start;writing-mode:lr-tb;text-anchor:start" /></flowRegion><flowPara
id="flowPara3417">$B^4$</flowPara><flowPara
id="flowPara3419" /></flowRoot> <flowRoot
xml:space="preserve"
id="flowRoot6107"
style="fill:black;stroke:none;stroke-opacity:1;stroke-width:1px;stroke-linejoin:miter;stroke-linecap:butt;fill-opacity:1;font-family:sans-serif;font-style:normal;font-weight:normal;font-size:40px;line-height:125%;letter-spacing:0px;word-spacing:0px"><flowRegion
id="flowRegion6109"><rect
id="rect6111"
width="593.20807"
height="435.63715"
x="886.72241"
y="-381.22391" /></flowRegion><flowPara
id="flowPara6113" /></flowRoot> <path
style="fill:none;fill-rule:evenodd;stroke:#fc0000;stroke-width:8;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:4;stroke-dasharray:none;stroke-opacity:0.9807692"
d="m 445.67778,487.61856 c 0,0 -14.01199,12.66742 -18.56991,20.75461 -6.72968,11.94059 -12.18855,25.61916 -12.01582,39.3245 0.1451,11.51344 4.38006,23.29604 10.92348,32.77043 7.20668,10.43473 29.49338,24.03164 29.49338,24.03164"
id="path5440"
inkscape:connector-curvature="0"
sodipodi:nodetypes="caaac" />
<path
sodipodi:nodetypes="ssssssss"
inkscape:connector-curvature="0"
id="path5442"
d="m 461.97255,223.00249 c 0,42.01204 -16.94072,80.04659 -44.33045,107.57805 -27.38949,27.53165 -65.22799,44.56038 -107.02292,44.56038 -41.79518,0 -79.63338,-17.02873 -107.02287,-44.56038 -27.38973,-27.53146 -44.33051,-65.56601 -44.33051,-107.57805 0,-42.01186 16.94078,-80.04644 44.33021,-107.57791 27.38979,-27.531828 65.22799,-44.560377 107.02317,-44.560377 83.59011,0 151.35337,68.114547 151.35337,152.138287 z"
style="fill:#ffe6d5;fill-opacity:1;stroke:#18e404;stroke-width:8.89796829;stroke-linejoin:bevel;stroke-miterlimit:4;stroke-dasharray:none;stroke-opacity:1"
inkscape:export-filename="/Users/Kasia/lectures_on_knot_theory/images/3unknots.png"
inkscape:export-xdpi="90"
inkscape:export-ydpi="90" />
<flowRoot
transform="matrix(1.1832027,0,0,2.3855987,-1046.4452,757.00645)"
style="font-style:normal;font-variant:normal;font-weight:normal;font-stretch:normal;font-size:40.000103px;line-height:125%;font-family:sans-serif;-inkscape-font-specification:'sans-serif, Normal';text-align:start;letter-spacing:0px;word-spacing:0px;writing-mode:lr-tb;text-anchor:start;fill:#000000;fill-opacity:1;stroke:none;stroke-width:1px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1"
id="flowRoot5444"
xml:space="preserve"><flowRegion
id="flowRegion5446"><rect
style="font-style:normal;font-variant:normal;font-weight:normal;font-stretch:normal;font-size:40.000103px;line-height:125%;font-family:sans-serif;-inkscape-font-specification:'sans-serif, Normal';text-align:start;writing-mode:lr-tb;text-anchor:start"
y="-251.45964"
x="1078.2792"
height="203.91527"
width="485.07117"
id="rect5448" /></flowRegion><flowPara
id="flowPara5450">$B^4$</flowPara><flowPara
id="flowPara5452" /></flowRoot> <path
sodipodi:nodetypes="czzzc"
inkscape:connector-curvature="0"
id="path5454"
d="m 443.49308,151.17553 c 0,0 10.55422,20.41047 13.10817,32.77044 2.55395,12.35997 4.49653,21.66363 5.46174,31.67807 0.9652,10.01444 -0.55511,20.89486 -1.09235,28.40104 -0.53725,7.50618 -7.64643,24.03164 -7.64643,24.03164"
style="fill:none;fill-rule:evenodd;stroke:#fc0000;stroke-width:8;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:4;stroke-dasharray:none;stroke-opacity:0.9807692" />
<flowRoot
xml:space="preserve"
id="flowRoot5468"
style="fill:black;stroke:none;stroke-opacity:1;stroke-width:1px;stroke-linejoin:miter;stroke-linecap:butt;fill-opacity:1;font-family:sans-serif;font-style:normal;font-weight:normal;font-size:40px;line-height:125%;letter-spacing:0px;word-spacing:0px;-inkscape-font-specification:'sans-serif, Normal';font-stretch:normal;font-variant:normal;text-anchor:start;text-align:start;writing-mode:lr;"><flowRegion
id="flowRegion5470"><rect
id="rect5472"
width="120.15823"
height="41.509205"
x="535.25024"
y="108.57398"
style="-inkscape-font-specification:'sans-serif, Normal';font-family:sans-serif;font-weight:normal;font-style:normal;font-stretch:normal;font-variant:normal;font-size:40px;text-anchor:start;text-align:start;writing-mode:lr;line-height:125%;" /></flowRegion><flowPara
id="flowPara5476">$\Sigma$</flowPara></flowRoot> <flowRoot
xml:space="preserve"
id="flowRoot5478"
style="font-style:normal;font-variant:normal;font-weight:normal;font-stretch:normal;font-size:18.75px;line-height:100%;font-family:sans-serif;-inkscape-font-specification:'sans-serif, Normal';text-align:start;letter-spacing:0px;word-spacing:0px;writing-mode:lr-tb;text-anchor:start;fill:#000000;fill-opacity:1;stroke:none;stroke-width:1px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1"
transform="translate(-57.894416,87.387798)"><flowRegion
id="flowRegion5480"><rect
id="rect5482"
width="157.29803"
height="85.203102"
x="530.88086"
y="110.75867"
style="font-style:normal;font-variant:normal;font-weight:normal;font-stretch:normal;font-size:18.75px;line-height:100%;font-family:sans-serif;-inkscape-font-specification:'sans-serif, Normal';text-align:start;writing-mode:lr-tb;text-anchor:start" /></flowRegion><flowPara
id="flowPara5486">$\Sigma$</flowPara></flowRoot> <text
xml:space="preserve"
style="font-style:normal;font-weight:normal;font-size:40px;line-height:125%;font-family:sans-serif;letter-spacing:0px;word-spacing:0px;fill:#000000;fill-opacity:1;stroke:none;stroke-width:1px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1"
x="633.56152"
y="121.68215"
id="text5488"
sodipodi:linespacing="125%"><tspan
sodipodi:role="line"
id="tspan5490"
x="633.56152"
y="121.68215"></tspan></text>
<path
inkscape:export-ydpi="90"
inkscape:export-xdpi="90"
inkscape:export-filename="/Users/Kasia/lectures_on_knot_theory/images/3unknots.png"
sodipodi:nodetypes="ssssssss"
inkscape:connector-curvature="0"
id="path12531"
d="m 1022.5895,363.98991 c 0,16.3937 -6.4348,31.2354 -16.8383,41.9786 -10.40352,10.7433 -24.77585,17.3881 -40.65111,17.3881 -15.87526,0 -30.2476,-6.6448 -40.65114,-17.3881 -10.40353,-10.7432 -16.83825,-25.5849 -16.83825,-41.9786 -10e-6,-16.3937 6.43471,-31.2354 16.83825,-41.9786 10.40354,-10.7432 24.77588,-17.3881 40.65114,-17.3881 31.7505,0 57.48941,26.5793 57.48941,59.3667 z"
style="fill:none;fill-opacity:0.03276714;stroke:#e86200;stroke-width:3.42563248;stroke-linejoin:bevel;stroke-miterlimit:4;stroke-dasharray:none;stroke-opacity:1" />
<path
inkscape:export-ydpi="90"
inkscape:export-xdpi="90"
inkscape:export-filename="/Users/Kasia/lectures_on_knot_theory/images/3unknots.png"
style="fill:none;fill-opacity:0.03276714;stroke:#e86200;stroke-width:3.42563248;stroke-linejoin:bevel;stroke-miterlimit:4;stroke-dasharray:none;stroke-opacity:1"
d="m 1022.5895,363.98991 c 0,16.3937 -6.4348,31.2354 -16.8383,41.9786 -10.40352,10.7433 -24.77585,17.3881 -40.65111,17.3881 -15.87526,0 -30.2476,-6.6448 -40.65114,-17.3881 -10.40353,-10.7432 -16.83825,-25.5849 -16.83825,-41.9786 -10e-6,-16.3937 6.43471,-31.2354 16.83825,-41.9786 10.40354,-10.7432 24.77588,-17.3881 40.65114,-17.3881 31.7505,0 57.48941,26.5793 57.48941,59.3667 z"
id="path12533"
inkscape:connector-curvature="0"
sodipodi:nodetypes="ssssssss" />
<path
inkscape:export-ydpi="90"
inkscape:export-xdpi="90"
inkscape:export-filename="/Users/Kasia/lectures_on_knot_theory/images/3unknots.png"
style="fill:none;fill-opacity:0.03276714;stroke:#18e404;stroke-width:3.42563248;stroke-linejoin:bevel;stroke-miterlimit:4;stroke-dasharray:none;stroke-opacity:1"
d="m 1134.8203,515.60326 c 0,8.19685 -1.6087,16.0057 -4.5178,23.10824 -2.9091,7.10253 -7.1186,13.49876 -12.3204,18.87036 -5.2018,5.37165 -11.3958,9.71868 -18.2737,12.72279 -6.8779,3.00411 -14.4398,4.66531 -22.3775,4.66531 -7.9376,0 -15.4995,-1.6612 -22.3774,-4.66531 -6.878,-3.00412 -13.0719,-7.35114 -18.2737,-12.72279 -5.2017,-5.37162 -9.4113,-11.76785 -12.3204,-18.87038 -2.9092,-7.10253 -4.5179,-14.91137 -4.5179,-23.10822 0,-8.19685 1.6087,-16.0057 4.5178,-23.10824 2.9091,-7.10254 7.1187,-13.49876 12.3205,-18.87036 5.2018,-5.3716 11.3958,-9.71863 18.2737,-12.72275 6.8779,-3.00413 131.3262,-4.37725 139.2586,-4.66535 30.0757,-1.09235 -86.6336,6.64482 -76.2301,17.38807 10.4036,10.74325 16.8383,25.58493 16.8383,41.97863 z"
id="path12535"
inkscape:connector-curvature="0"
sodipodi:nodetypes="sssssssssssssss" />
<path
style="fill:none;fill-opacity:0.03276714;stroke:#c806f4;stroke-width:3.42563248;stroke-linejoin:bevel;stroke-miterlimit:4;stroke-dasharray:none;stroke-opacity:1"
d="m 1107.2828,131.12009 c 7.6841,-0.76261 15.4692,-0.74555 23.0864,0.0279 7.6172,0.77345 15.0664,2.30331 22.0788,4.56629 28.4995,9.19713 59.3658,31.05529 66.8125,60.06143 9.2774,36.13736 -3.2209,89.6167 -36.8997,105.67038 -3.8059,1.81418 -7.8514,3.07525 -12.054,3.83871 -4.2027,0.76346 -8.5625,1.0293 -12.9974,0.85303 -4.4349,-0.17628 -8.9448,-0.79467 -13.4475,-1.79968 -4.5027,-1.00501 -8.9981,-2.39664 -13.4041,-4.11939 m -24.7049,-13.86604 c -3.7194,-2.82526 -7.1848,-5.87065 -10.3141,-9.08068 -3.1292,-3.21002 -5.9224,-6.58468 -8.2972,-10.06847 -24.8897,-36.51271 -24.2017,-98.35692 3.8363,-132.51152 24.1124,-29.37263 83.5047,-51.529956 111.1325,-25.43661 4.3626,4.1203 7.6945,8.81882 10.1308,13.96291 2.4362,5.14409 3.9768,10.73377 4.7567,16.63638 0.7799,5.90261 0.7992,12.11815 0.1927,18.514 m -10.0666,39.47751 c -2.5692,6.58647 -5.494,13.08796 -8.6394,19.37182 -3.1455,6.28387 -6.5117,12.35011 -9.9635,18.06608 -3.4518,5.71598 -6.9893,11.08169 -10.4775,15.9645 -18.7944,26.3087 -53.4204,52.22524 -85.2122,46.33847 -35.4563,-6.56528 -67.218,-46.34757 -70.2291,-82.28055 -2.273,-27.12506 19.0168,-55.38701 41.938,-70.06868 6.2048,-3.97434 8.6789,-6.57632 15.8923,-8.92153"
id="path12537"
inkscape:connector-curvature="0"
sodipodi:nodetypes="cssassssccssasssccsssaasc"
inkscape:export-filename="/Users/Kasia/lectures_on_knot_theory/images/3unknots.png"
inkscape:export-xdpi="90"
inkscape:export-ydpi="90" />
<path
sodipodi:nodetypes="ssssssssssssssssssssscssssssssssssssssssssssssssssssscssss"
inkscape:connector-curvature="0"
id="path12539"
d="m 1097.2046,57.375943 c -4.0984,0 -8.0998,-0.4022 -11.9645,-1.168 -3.8646,-0.7658 -7.5924,-1.8953 -11.1437,-3.3498 -3.5513,-1.4546 -6.926,-3.2343 -10.0843,-5.3005 -3.1583,-2.0663 -6.1003,-4.4191 -8.7861,-7.02 -2.6858,-2.6009 -5.1155,-5.4498 -7.2492,-8.5083 -2.1337,-3.0584 -3.9715,-6.3264 -5.4735,-9.7653 -1.5021,-3.439 -2.6684,-7.049 -3.4593,-10.7914 -0.7908,-3.7424003 -1.2061,-7.6173003 -1.2061,-11.58610034 0,-3.96879996 0.4153,-7.84369996 1.2061,-11.58609966 0.7909,-3.7424 1.9572,-7.3524 3.4592,-10.7913 1.5021,-3.439 3.3399,-6.707 5.4736,-9.7654 2.1337,-3.0585 4.5634,-5.9074 7.2492,-8.5083 2.6858,-2.6009 5.6278,-4.953704 8.7861,-7.020004 3.1584,-2.0662 6.5331,-3.8459 10.0843,-5.3005 3.5513,-1.4545 7.2791,-2.584 11.1438,-3.3498 3.8646,-0.7658 7.866,-1.168 11.9644,-1.168 4.0985,0 8.0999,0.4022 11.9645,1.168 3.8646,0.7658 7.5925,1.8952 11.1438,3.3498 3.5512,1.4546 6.9259,3.2342 10.0842,5.3005 3.1584,2.0663 6.1003,4.419104 8.7861,7.020004 2.6858,2.6009 8.3925,7.63449 10.5262,10.69299 12.0768,6.91794 23.4045,13.17624 34.0182,18.8174 10.6136,5.6411597 20.5132,10.66517966 29.7337,15.1145497 9.2206,4.44936 17.7621,8.3240703 25.6598,11.6666103 7.8976,3.34255 15.1512,6.15292 21.796,8.47362 6.6448,2.32069 12.6807,4.1517 18.1427,5.53552 5.4621,1.38382 10.3503,2.32045 14.6997,2.85237 4.3495,0.53192 8.1602,0.65913 11.4671,0.42413 3.307,-0.23501 6.1102,-0.83224 8.4448,-1.74919 2.3346,-0.91696 4.2006,-2.15365 5.6329,-3.66759 1.4323,-1.51393 2.4311,-3.30511 3.0313,-5.33105 0.6002,-2.02594 0.8019,-4.28663 0.64,-6.7396 -0.1618,-2.45297 -0.6871,-5.09821 -1.5408,-7.8932303 -0.8537,-2.79502 -2.0358,-5.73983 -3.5113,-8.79193 -1.4756,-3.05211 -3.2444,-6.21151 -5.2716,-9.4357197 -2.0272,-3.22421 -4.3127,-6.51323 -6.8214,-9.82457 -2.5087,-3.31134 -5.2407,-6.64501 -8.1608,-9.95851 -2.9202,-3.3135 -6.0286,-6.60683 -9.2901,-9.83752 -3.2614,-3.23068 -6.6761,-6.398724 -10.2087,-9.461614 -3.5327,-3.0629 -7.1835,-6.02065 -10.9173,-8.83078 -3.7337,-2.81013 -7.5505,-5.47264 -11.4153,-7.94503 -3.8647,-2.47239 -7.7774,-4.75467 -11.703,-6.80435 -3.9256,-2.04968 -7.8641,-3.86676 -11.7804,-5.40876 -3.9164,-1.54199 -7.8106,-2.8089 -11.6475,-3.75823 -3.837,-0.94933 -7.6167,-1.58109 -11.3042,-1.85279 -3.6874,-0.2717 -7.2826,-0.18333 -10.7505,0.30758 -3.4678,0.49091 -6.8083,1.38437 -9.9864,2.72287 -3.1781,1.33849 -6.1939,3.12202 -9.0121,5.39307 -2.8183,2.27106 -5.4391,5.02963 -7.8274,8.31822 -2.3883,3.28858 -4.5441,7.10717 -6.4324,11.49826 -1.8882,4.39109 -3.5088,9.35468 -4.8269,14.933254 -1.318,5.57857 -2.3334,11.77212 -3.0111,18.62315 -0.6778,6.85102 -1.0178,14.3595197 -0.9851,22.56796966 0,7.93760004 -1.6612,15.49950034 -4.6653,22.37750034 -3.0041,6.8779 -7.3511,13.0719 -12.7227,18.2736 -5.3717,5.2018 -11.7679,9.4114 -18.8704,12.3205 -7.1026,2.9091 -14.9114,4.5178 -23.1083,4.5178 z"
style="fill:none;fill-opacity:0.03276714;stroke:#5c62fb;stroke-width:3.42563248;stroke-linejoin:bevel;stroke-miterlimit:4;stroke-dasharray:none;stroke-opacity:1"
inkscape:export-filename="/Users/Kasia/lectures_on_knot_theory/images/3unknots.png"
inkscape:export-xdpi="90"
inkscape:export-ydpi="90" />
<path
style="fill:none;fill-rule:evenodd;stroke:#e50000;stroke-width:3.75;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:4;stroke-dasharray:none;stroke-opacity:1"
d="M 613.89928,-269.37824 730.78046,-394.9982"
id="path12979"
inkscape:connector-curvature="0"
sodipodi:nodetypes="cc"
inkscape:export-xdpi="90"
inkscape:export-ydpi="90" />
<path
inkscape:connector-curvature="0"
id="path12981"
d="m 670.88879,-266.60464 -0.37481,-130.0748"
style="fill:none;fill-rule:evenodd;stroke:#e50000;stroke-width:3.75;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:4;stroke-dasharray:none;stroke-opacity:1"
sodipodi:nodetypes="cc"
inkscape:export-xdpi="90"
inkscape:export-ydpi="90" />
<path
inkscape:connector-curvature="0"
id="path12983"
d="m 614.99162,-394.9982 114.69649,125.61996"
style="fill:none;fill-rule:evenodd;stroke:#e50000;stroke-width:3.75;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:4;stroke-dasharray:none;stroke-opacity:1"
sodipodi:nodetypes="cc"
inkscape:export-xdpi="90"
inkscape:export-ydpi="90" />
<path
style="fill:none;fill-rule:evenodd;stroke:#e50000;stroke-width:3.75;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:4;stroke-dasharray:none;stroke-opacity:1"
d="m 1277.1416,-309.20619 6.1793,-160.66053"
id="path12991"
inkscape:connector-curvature="0" />
</g>
</svg>

After

Width:  |  Height:  |  Size: 47 KiB

BIN
images/not_smooth_knot.png Normal file

Binary file not shown.

After

Width:  |  Height:  |  Size: 5.1 KiB

BIN
images/trefoil.png Normal file

Binary file not shown.

After

Width:  |  Height:  |  Size: 13 KiB

BIN
images/unknot.png Normal file

Binary file not shown.

After

Width:  |  Height:  |  Size: 4.2 KiB