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Summary

Description

A partition of the torus into seven mutually adjacent regions, requiring seven colors. The torus is shown unrolled onto a square; points on the top edge of the square should be thought of as connected to the corresponding points on the bottom edge of the square, and points on the left edge of the square should be thought of as connected to the corresponding points on the right edge of the square. The edges and vertices of the regions form an embedding of the en:Heawood graph onto the torus. A combinatorially equivalent partition of the torus into regions forms the set of faces of the en:Szilassi polyhedron.

Category:Mathematics images
Date 7 December 2006 (original upload date)
Source Transferred from en.wikipedia to Commons.
Author David Eppstein at English Wikipedia

Licensing

Public domain This work has been released into the public domain by its author, David Eppstein at English Wikipedia. This applies worldwide.
In some countries this may not be legally possible; if so:
David Eppstein grants anyone the right to use this work for any purpose, without any conditions, unless such conditions are required by law.

Original upload log

The original description page was here. All following user names refer to en.wikipedia.
  • 2006-12-07 07:30 David Eppstein 256×256×0 (3809 bytes) A partition of the torus into seven mutually adjacent regions, requiring seven colors. The torus is shown unrolled onto a square; points on the top edge of the square should be thought of as connected to the corresponding points on the bottom edge of the

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7 December 2006

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4676ab57d348f2b7507b5f40c7a1d0768b114b82

4,219 byte

423 pixel

423 pixel

File history

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Date/TimeThumbnailDimensionsUserComment
current22:16, 24 July 2007Thumbnail for version as of 22:16, 24 July 2007423 × 423 (4 KB)David EppsteinExpand entities and fix svg header (why was this working before on WP??)
22:13, 24 July 2007Thumbnail for version as of 22:13, 24 July 2007512 × 512 (4 KB)David Eppstein{{Information |Description=A partition of the torus into seven mutually adjacent regions, requiring seven colors. The torus is shown unrolled onto a square; points on the top edge of the square should be thought of as connected to the corresponding points

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