File:Hypercubeorder binary.svg

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.
Date
Source Own work
Author
Watchduck
You can name the author as "T. Piesk", "Tilman Piesk" or "Watchduck".
Permission
(Reusing this file)		 public domain
Other versions
SVG development
InfoField

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.
Category:Self-published work#Hypercubeorder%20binary.svgCategory:PD-self#Hypercubeorder%20binary.svg Category:Rhombic dodecahedral tesseract shadow; 16 vertices Category:2-fold rotational symmetry Category:Binary numeral system Category:Tesseract Hasse diagrams Category:SVG Hasse diagrams Category:Colored nibbles (blue, green, white); graph
Category:2-fold rotational symmetry Category:Binary numeral system Category:Colored nibbles (blue, green, white); graph Category:PD-self Category:Rhombic dodecahedral tesseract shadow; 16 vertices Category:SVG Hasse diagrams Category:Self-published work Category:Tesseract Hasse diagrams Category:Valid SVG created with Inkscape:Hasse diagrams