File:DiscCoveringExample.svg
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Original file (SVG file, nominally 180 × 210 pixels, file size: 9 KB)
Summary
| Description |
English: This is the optimal strategy for r(9) and r(10). Below is the metapost code. |
| Date | |
| Source | Own work |
| Author | Full Decent |
| SVG development |  This trigonometry was created with Inkscape. |
%prologues:=3;
filenametemplate "%j_%c.mps";
verbatimtex
%&latex
\documentclass{minimal}
\begin{document}
etex
beginfig(0);
n:=6;
r:=1/(1+2*cosd(360/(n-1)));
u:=144/(2+2*r);
draw fullcircle scaled (2*u) dashed evenly scaled 0.75;
draw fullcircle scaled (2*r*u);
for i=0 upto (n-2):
draw fullcircle scaled (2*r*u) shifted (u*sind(360/(n-1)*i),u*cosd(360/(n-1)*i));
endfor;
draw (0,0)--(2*u*sind(180/(n-1)),2*u*cosd(180/(n-1)));
draw (0,0)--(2*-u*sind(180/(n-1)),2*u*cosd(180/(n-1)));
% draw subpath (0,length(fullcircle)/(n-1)) of fullcircle scaled (4*u) rotated (90-180/(n-1));
drawdblarrow subpath (0,length(fullcircle)/(n-1)) of fullcircle scaled (4*u) rotated (90-180/(n-1));
% label.top(btex $\theta = \frac{2\pi}{n-1}$ etex,(0,0)) scaled (u/72) shifted (0,u*2);
label.top(btex $\theta$ etex,(0,0)) scaled (u/36) shifted (0,u*2);
endfig;
endLicensing
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Permission is granted 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. A copy of the license is included in the section entitled GNU Free Documentation License. |
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File history
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| Date/Time | Thumbnail | Dimensions | User | Comment | |
|---|---|---|---|---|---|
| current | 04:13, 3 June 2009 | | 180 × 210 (9 KB) | wikimediacommons>Fulldecent | This is the optimal strategy for r(9) and r(10). Below is the metapost code. Is this the right place to past this? let me know ~~~~ %prologues:=3; filenametemplate "%j_%c.mps"; verbatimtex %&latex \documentclass{minimal} \begin{document} etex beginfig |
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