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File:Hypercubeorder.svg

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Hypercubeorder.svg(SVG file, nominally 332 × 375 pixels, file size: 27 KB)

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[edit] Description

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

Note that the two central (golden) vertices should coincide if using a orthogonal 2D projection, but were drawn here slightly apart to allow easier distinctions of connection faces.

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

Q and ¬Q P and Q P and ¬Q ¬P and Q ¬P and ¬Q P Q (P or Q) and ¬(P and Q) (P and Q) or ¬(P or Q) ¬Q ¬P P or Q P or ¬Q ¬P or Q ¬P or ¬Q Q or ¬Q
About this image
Date

2007-September-2

Source

Own work

Author

Lipedia

Permission
(Reusing this image)
public domain
Other versions See this detailed version on Flickr.

[edit] Licensing

Public domain I, the copyright holder of this work, hereby release it into the public domain. This applies worldwide.

In case this is not legally possible:
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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(latest | earliest) View (newer 50) (older 50) (20 | 50 | 100 | 250 | 500)
Date/TimeThumbnailDimensionsUserComment
current20:13, 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 }} )
(latest | earliest) View (newer 50) (older 50) (20 | 50 | 100 | 250 | 500)
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