File:6Cube-QuasiCrystal.jpg

Original file ‎(1,383 × 1,360 pixels, file size: 484 KB, MIME type: image/jpeg)

Summary

Description
English: A w:6-cube (w:Hexeract) using 6D w:orthographic_projection to a 3D w:Perspective_(visual) object (the w:Rhombic_triacontahedron) 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}

There are 64 vertices and 192 unit length edges forming pentagonal symmetry along specific axis (as well as hexagonal symmetries on other axis).

The edge colors are defined by which of the 6 dimensions it aligns with.
Date
Source Own work
Author Jgmoxness

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author name string: Jgmoxness
Wikimedia username: Jgmoxness
URL: http://commons.wikimedia.org/wiki/User:Jgmoxness

copyright status

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copyright license

Creative Commons Attribution-ShareAlike 3.0 Unported

source of file

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inception

29 December 2011

media type

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checksum

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determination method: SHA-1

data size

495,995 byte

height

1,360 pixel

width

1,383 pixel

File history

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Date/TimeThumbnailDimensionsUserComment
current02:28, 4 October 20171,383 × 1,360 (484 KB)Tomruencrop
16:42, 3 October 20171,751 × 1,752 (639 KB)JgmoxnessModified edge colors to be defined by which of 6 dimensions the edge aligns with.
17:08, 1 January 20121,800 × 1,800 (619 KB)Jgmoxnesslower res
18:30, 29 December 20112,250 × 2,250 (819 KB)Jgmoxness
The following pages on the English Wikipedia use this file (pages on other projects are not listed):

Global file usage

The following other wikis use this file:

  • Usage on el.wikipedia.org
    • Ρομβικό τριακοντάεδρο
  • Usage on en.wikiversity.org
    • User:Jgmoxness
    • User talk:Jgmoxness
  • Usage on ru.wikipedia.org
    • Гексеракт
    • Ромботриаконтаэдр
  • Usage on ru.wiktionary.org
    • гексеракт
  • Usage on sl.wikipedia.org
    • Rombski triakontaeder

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