File:RhombicTricontrahedron.png

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Original file (1,555 × 1,518 pixels, file size: 571 KB, MIME type: image/png)

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Summary

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Description

A w:6-cube (w:Hexeract) using 6D w:orthographic_projection to a 3D w:Perspective_(visual) object (the w:Rhombic_triacontahedron) (shown here with inner vertices but without inner edges) using the w:Golden ratio φ in the w:basis_vectors. This is used to understand the aperiodic w:Icosahedron structure of w:Quasicrystals. This particular projection is used to understand the structure of w:Quasicrystals.

The specific basis vectors are:

x = {1, φ, 0, -1, φ, 0}
y = {φ, 0, 1, φ, 0, -1}
z = {0, 1, φ, 0, -1, φ}
Edge colors are defined by which of the 6 dimensions the edge aligns with.
Date
Source Own work
Author Jgmoxness

Licensing

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I, the copyright holder of this work, hereby publish it under the following license:
w:en:Creative Commons
attribution share alike
This file is licensed under the Creative Commons Attribution-Share Alike 3.0 Unported license.
You are free:
  • to share – to copy, distribute and transmit the work
  • to remix – to adapt the work
Under the following conditions:
  • attribution – You must give appropriate credit, provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use.
  • share alike – If you remix, transform, or build upon the material, you must distribute your contributions under the same or compatible license as the original.

File history

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Date/TimeThumbnailDimensionsUserComment
current06:27, 4 October 2017Thumbnail for version as of 06:27, 4 October 20171,555 × 1,518 (571 KB)Tomruen (talk | contribs)crop
19:46, 3 October 2017Thumbnail for version as of 19:46, 3 October 20172,188 × 2,189 (501 KB)Jgmoxness (talk | contribs)new edge color correction
16:57, 3 October 2017Thumbnail for version as of 16:57, 3 October 20172,188 × 2,189 (623 KB)Jgmoxness (talk | contribs)Edge colors redefined
23:35, 2 January 2012Thumbnail for version as of 23:35, 2 January 20121,800 × 1,800 (263 KB)Jgmoxness (talk | contribs)

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