File:Hypercubeorder.svg

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Hypercubeorder.svg‎ (SVG file, nominally 300 × 325 pixels, file size: 30 KB)

[edit] Summary

Description
English: The 4D-hypercube, layered according to distance from one corner.
As described in "Alice in Wonderland" by the Cheshire Cat, this vertex-first-shadow of the tesseract forms a rhombic dodecahedron.

Note that the two central (green) vertices should coincide if using an orthogonal projection from 4 to 3 dimensions, but were drawn here slightly apart.

The eight nibbles with odd binary digit sums form a cube and are marked in white.
The two pallindromes 0110 and 1001 (compare XOR and XNOR) are projected in the center of the rhombic dodecahedron and are marked in green.
The other six nibbles with even binary digit sums form an octahedron and are marked in blue.

Logical connectives Hasse diagram.svg
Date

2 September 2007(2007-09-02)
Source

Own work
Author

Lipedia
Permission
(Reusing this file)		 public domain
Other versions Hypercubeorder binary.svg

[edit] 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.

[edit] See also

Hypercubecubes.svg     Hypercubestar.svg

File history

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

Date/TimeThumbnailDimensionsUserComment
current21:19, 29 October 2009Thumbnail for version as of 21:19, 29 October 2009300 × 325 (30 KB)Lipedia (made colors like File:Logical connectives Hasse diagram.svg)
20:13, 21 January 2008Thumbnail for version as of 20:13, 21 January 2008332 × 375 (27 KB)Lipedia ({{Information |Description= |Source= |Date= |Author= |Permission= |other_versions= }} )
13:24, 3 September 2007Thumbnail for version as of 13:24, 3 September 2007332 × 375 (26 KB)Lipedia
12:15, 3 September 2007Thumbnail for version as of 12:15, 3 September 2007332 × 375 (24 KB)Lipedia
12:10, 3 September 2007Thumbnail for version as of 12:10, 3 September 2007337 × 382 (24 KB)Lipedia ({{Information |Description= |Source= |Date= |Author= |Permission= |other_versions= }} )
20:24, 2 September 2007Thumbnail for version as of 20:24, 2 September 2007382 × 382 (24 KB)Lipedia ({{Information |Description=The 4D-hypercube, layered according to distance from one corner. |Source=own work |Date=2007.September-2 |Author=Tilman Piesk |Permission=public domain |other_versions=this file should replace Image:Hypercube order.svg }} )

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This file contains additional information, probably added from the digital camera or scanner used to create or digitize it. If the file has been modified from its original state, some details may not fully reflect the modified file.
Width 300
Height 325
Retrieved from "http://en.wikipedia.org/wiki/File:Hypercubeorder.svg"
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