File:4-cell-to-Rhombic-12-Hedron.png

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English: The 4-Cube (aka. Tesseract) is projected to the Rhombic Dodecahedron using basis vectors of:

The specific basis vectors are:

x = {1, φ, 0, -1}
y = {φ, 0, 1, φ}
z = {0, 1, φ, 0}

While there are 16 vertices and 32 4D unit length edges, only the outer hull of 14 vertices and 24 unit length edges form the the Rhombic 12-hedron.

The edge colors are defined by which of the 4 dimensions it aligns with.

For more information see the author's post on the topic at TheoryOfEverything.org [1]
Date
Source Own work
Author Jgmoxness

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Date/TimeThumbnailDimensionsUserComment
current19:23, 4 October 2017Thumbnail for version as of 19:23, 4 October 20171,313 × 877 (177 KB)Jgmoxness (talk | contribs)User created page with UploadWizard

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