File:V-E+F=2 Proof Illustration.svg

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Original file(SVG file, nominally 459 × 119 pixels, file size: 5 KB)

This file is from Wikimedia Commons and may be used by other projects. The description on its file description page there is shown below.

Summary

 
The SVG code is valid.
 
This vector image was created with MetaPost.

Source code

InfoField

PostScript code

beginfig(1)
  pair A[], B[], C[];
  A[0]:=(1cm, 1cm); A[1]:=(5cm, 1cm);
  A[2]:=(5cm, 5cm); A[3]:=(1cm, 5cm);
  A[4]:=(2cm, 2cm); A[5]:=(4cm, 2cm);
  A[6]:=(4cm, 4cm); A[7]:=(2cm, 4cm);
  for i = 0 upto 7:
    draw A[i] withpen pencircle scaled 6pt;
    B[i] = A[i] + (6cm, 0cm);
    draw B[i] withpen pencircle scaled 6pt;
    C[i] = A[i] + (12cm, 0cm);
    draw C[i] withpen pencircle scaled 6pt;
  endfor;
  draw A[0]--A[1]--A[2]--A[3]--cycle;
  draw A[4]--A[5]--A[6]--A[7]--cycle;
  draw A[0]--A[4]; draw A[1]--A[5];
  draw A[2]--A[6]; draw A[3]--A[7];
  draw B[0]--B[1] dashed evenly;
  draw B[1]--B[2]--B[3]--B[0];
  draw B[4]--B[5]--B[6]--B[7]--cycle;
  draw B[0]--B[4];
  draw B[1]--B[5]; draw B[2]--B[6];
  draw B[3]--B[7]; draw B[4]--B[6];
  draw B[0]--B[5];
  draw B[1]--B[6]; draw B[2]--B[7];
  draw B[3]--B[4];
  draw C[1]--C[2]--C[3];
  draw C[4]--C[5]--C[6]--C[7]--cycle;
  draw C[0]--C[4] dashed evenly;
  draw C[1]--C[5]; draw C[2]--C[6];
  draw C[3]--C[7]; draw C[4]--C[6];
  draw C[0]--C[5] dashed evenly;
  draw C[1]--C[6]; draw C[2]--C[7];
  draw C[3]--C[4];
endfig;
end;

Licensing

Public domain I, the copyright holder of this work, release this work into the public domain. This applies worldwide.
In some countries this may not be legally possible; if so:
I grant anyone the right to use this work for any purpose, without any conditions, unless such conditions are required by law.

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File history

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Date/TimeThumbnailDimensionsUserComment
current10:00, 14 April 2006Thumbnail for version as of 10:00, 14 April 2006459 × 119 (5 KB)wikimediacommons>MagguGenerated from the following MetaPost code: <pre> beginfig(1) pair A[], B[], C[]; A[0]:=(1cm, 1cm); A[1]:=(5cm, 1cm); A[2]:=(5cm, 5cm); A[3]:=(1cm, 5cm); A[4]:=(2cm, 2cm); A[5]:=(4cm, 2cm); A[6]:=(4cm, 4cm); A[7]:=(2cm, 4cm); f

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