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Torus-triangulation.png (462 × 364 pixels, file size: 3 KB, MIME type: image/png)

Summary

Description
English: This is a mathematical diagram, as requested by User:Money is tight on the reference desk question [[:en:Wikipedia:Reference desk/Mathematics#Latex|]] (later [[:en:Wikipedia:Reference desk/Archives/Mathematics/2011 May 13#Latex|]]). See the description of what it depicts there.

The uploaded image itself is only a raster preview. If you actually intend to use this image for real, please use the EPS (encapsulated Postscript) source I will copy here. You can include this EPS version in a LaTeX file compiled by either latex+dvips or pdflatex. This has the font embedded in it. (Make sure to remove the indentation so the dsc comments work.)

The image is made by metapost. I also include the metapost source below so that you can modify it.


Author: User:b_jonas

EPS version

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Metapost source

% torus triangulation diagram

lw = 0.4pt;
un = 40pt;
rn = 3pt;

ahlength := 4pt;
ahangle := 35;

filenametemplate "%j-%c.mps";
prologues := 3;

verbatimtex
\font\ninemi=cmmi9 \font\sixrm=cmr6
\textfont1=\ninemi \scriptfont0=\sixrm
\relax
etex

def linecenterarrow(suffix p,q) =
draw z.p--z.q;
pair ahtip,ahdir,ahvec,ahlt,ahrt;
ahdir = unitvector(z.q-z.p);
ahvec = ahlength*ahdir;
ahtip = 0.5[z.p,z.q] + 0.6*ahvec;
ahlt = ahtip - (ahvec rotated -1/2ahangle);
ahrt = ahtip - (ahvec rotated 1/2ahangle);
filldraw ahtip -- ahlt -- ahrt -- cycle
enddef;

def drawnode(suffix p) =
path nodepath;
nodepath = fullcircle scaled rn shifted z.p;
unfill nodepath;
draw nodepath;
enddef;

beginfig(1);
pickup pencircle scaled lw;

z0 = origin;
z1 = z0 + un*right;
z2 = z1 + un*up;
z3 = z0 + un*up;

linecenterarrow(0,1);
linecenterarrow(0,3);
linecenterarrow(1,2);
linecenterarrow(3,2);
linecenterarrow(0,2);

label.lft(btex $ v $ etex , z0);
label.rt(btex $ v $ etex, z1);
label.rt(btex $ v $ etex, z2);
label.lft(btex $ v $ etex, z3);

drawnode(0);
drawnode(1);
drawnode(2);
drawnode(3);

endfig;

bye
Date 15 May 2011 (original upload date)
Source Transferred from en.wikipedia to Commons by Sfan00_IMG using CommonsHelper.
Author B jonas at English Wikipedia

Licensing

B jonas at English Wikipedia, the copyright holder of this work, hereby publishes it under the following license:
Creative Commons CC-Zero This file is made available under the Creative Commons CC0 1.0 Universal Public Domain Dedication.
The person who associated a work with this deed has dedicated the work to the public domain by waiving all of their rights to the work worldwide under copyright law, including all related and neighboring rights, to the extent allowed by law. You can copy, modify, distribute and perform the work, even for commercial purposes, all without asking permission.

Original upload log

The original description page was here. All following user names refer to en.wikipedia.
  • 2011-05-15 21:55 B jonas 462×364× (2948 bytes) Remove indices from labels. Will update EPS and mpost source soon.
  • 2011-05-15 21:39 B jonas 526×377× (3490 bytes) This is a mathematical diagram, as requested by [[User:Money is tight]] on the reference desk question [[Wikipedia:Reference desk/Mathematics#Latex]] (later [[Wikipedia:Reference desk/Archives/Mathematics/2011 May 13#Latex]]). See the description of what

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15 May 2011

File history

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Date/TimeThumbnailDimensionsUserComment
current18:17, 17 July 2012Thumbnail for version as of 18:17, 17 July 2012462 × 364 (3 KB)OgreBot(BOT): Reverting to most recent version before archival
18:17, 17 July 2012Thumbnail for version as of 18:17, 17 July 2012526 × 377 (3 KB)OgreBot(BOT): Uploading old version of file from en.wikipedia; originally uploaded on 2011-05-15 21:39:47 by B jonas
20:33, 16 July 2012Thumbnail for version as of 20:33, 16 July 2012462 × 364 (3 KB)File Upload Bot (Magnus Manske)Transfered from en.wikipedia by User:Sfan00_IMG using CommonsHelper

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