Image:Homotopy group of circle.png

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[edit] Summary

First go at homptopy groups. Author R Morris (User:Salix alba) Created using singsurf

[edit] Licensing

I, the creator of this work, hereby grant the permission to copy, distribute and/or modify this document under the terms of the GNU Free Documentation License, Version 1.2 or any later version published by the Free Software Foundation; with no Invariant Sections, no Front-Cover Texts, and no Back-Cover Texts. Subject to disclaimers.

Source code

<definition name="Monge">
C+r1 (cos(pi y) AA+ sin(pi y) BB);
AA=A/sqrt(A.A);
BB=B/sqrt(B.B);
B=A^T;
A=N^T;
N=diff(T,t);
T=diff(C,t);
C=[r cos(n pi t)+x0+a cos(pi t), r sin(n pi t)+y0 + b cos(pi t), sin(pi t)];
t=x;
<variable name="x" min="-1.0" max="1.0" steps="70" type="Normal">
<variable name="y" min="-1.0" max="1.0" steps="40" type="Normal">
<parameter name="r" value="3.0">
<parameter name="n" value="2.0">
<parameter name="x0" value="1.8000000000000005">
<parameter name="y0" value="1.5000000000000002">
<parameter name="a" value="0.19999999999999993">
<parameter name="b" value="2.7755575615628914E-17">
<parameter name="r1" value="0.1">
</definition>

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