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File:Hypercubeorder binary.svg

From Wikipedia, the free encyclopedia

Original file(SVG file, nominally 360 × 360 pixels, file size: 96 KB)

Summary

Description
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.

Date
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Watchduck
You can name the author as "T. Piesk", "Tilman Piesk" or "Watchduck".
Permission
(Reusing this file)
public domain
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Date/TimeThumbnailDimensionsUserComment
current12:38, 5 September 2010Thumbnail for version as of 12:38, 5 September 2010360 × 360 (96 KB)Watchduck== {{int:filedesc}} == {{Information |Description= {{en|The <nowiki>4D-</nowiki>hypercube, layered according to distance from one corner. <br />As described in "Alice in Wonderland" by the Cheshire Cat, this vertex
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Basis of this page is in Wikipedia. Text is available under the CC BY-SA 3.0 Unported License. Non-text media are available under their specified licenses. Wikipedia® is a registered trademark of the Wikimedia Foundation, Inc. WIKI 2 is an independent company and has no affiliation with Wikimedia Foundation.