File:Dodecahedron vertices.png

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Dodecahedron_vertices.png ‎(286 × 292 pixels, file size: 20 KB, MIME type: image/png)

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Summary

Description

Coordinates of a regular dodecahedron

Right-handed coordinate system with red, green and blue assigned to the same axes

The orange vertices lie at (±1, ±1, ±1) and form a cube (dotted lines).

The red vertices lie at (±ϕ, ±1/ϕ, 0) and form a rectangle on the xy-plane.
The green vertices lie at (0, ±ϕ, ±1/ϕ) and form a rectangle on the yz-plane.
The blue vertices lie at (±1/ϕ, 0, ±ϕ) and form a rectangle on the xz-plane.
(The red, green and blue coordinate triples are circular permutations of each other.)

The distance between adjacent vertices is 2/ϕ, and the distance from the origin to any vertex is √3.

ϕ = 1 + √5/2 is the golden ratio.
Date 1 August 2012 (original upload date)
Source Self-drawn diagram
Author Another Matt
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Licensing

Creative Commons CC-Zero This file is made available under the Creative Commons CC0 1.0 Universal Public Domain Dedication.
The person who associated a work with this deed has dedicated the work to the public domain by waiving all of their rights to the work worldwide under copyright law, including all related and neighboring rights, to the extent allowed by law. You can copy, modify, distribute and perform the work, even for commercial purposes, all without asking permission.

Original upload log

Transferred from en.wikipedia to Commons by WepsA using CommonsHelper.

The original description page was here. All following user names refer to en.wikipedia.
  • 2012-08-20 20:20 Another Matt 288×305× (14735 bytes) Tiny tweak
  • 2012-08-01 20:25 Another Matt 289×300× (14679 bytes) Tiny adjustment
  • 2012-08-01 04:05 Another Matt 289×297× (19598 bytes) Minor colour correction
  • 2012-08-01 03:32 Another Matt 294×297× (19667 bytes) Uploading a self-made file using [[Wikipedia:File_Upload_Wizard|File Upload Wizard]]

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1 August 2012

File history

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Date/TimeThumbnailDimensionsUserComment
current20:11, 2 May 2017Thumbnail for version as of 20:11, 2 May 2017286 × 292 (20 KB)wikimediacommons>Tomruenswap y,z coordinates for RHS.

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