Image:7x-torus.svg

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7x-torus.svg (SVG file, nominally 423 × 423 pixels, file size: 4 KB)

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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

Source

Originally from en.wikipedia; description page is/was here.

Date

2006-12-07 (original upload date)

Author

Original uploader was David Eppstein at en.wikipedia

Permission
(Reusing this image)

Released into the public domain (by the author).


[edit] License information

Public domain This image has been (or is hereby) released into the public domain by its author, David Eppstein at the wikipedia project. This applies worldwide.

In case this is not legally possible:
David Eppstein grants anyone the right to use this work for any purpose, without any conditions, unless such conditions are required by law.

[edit] Original upload log

(All 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

File history

Click on a date/time to view the file as it appeared at that time.

Date/TimeDimensionsUserComment
current22:16, 24 July 2007423×423 (4 KB)David Eppstein (Expand entities and fix svg header (why was this working before on WP??))
22:13, 24 July 2007256×256 (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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