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

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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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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

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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]]

File history

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Date/TimeThumbnailDimensionsUserComment
current18:11, 2 May 2017Thumbnail for version as of 18:11, 2 May 2017286 × 292 (20 KB)Tomruen (talk | contribs)swap y,z coordinates for RHS.
02:41, 21 September 2013Thumbnail for version as of 02:41, 21 September 2013288 × 305 (14 KB)OgreBot (talk | contribs)(BOT): Reverting to most recent version before archival
02:41, 21 September 2013Thumbnail for version as of 02:41, 21 September 2013289 × 300 (14 KB)OgreBot (talk | contribs)(BOT): Uploading old version of file from en.wikipedia; originally uploaded on 2012-08-01 20:25:07 by Another Matt
02:41, 21 September 2013Thumbnail for version as of 02:41, 21 September 2013289 × 297 (19 KB)OgreBot (talk | contribs)(BOT): Uploading old version of file from en.wikipedia; originally uploaded on 2012-08-01 04:05:16 by Another Matt
02:41, 21 September 2013Thumbnail for version as of 02:41, 21 September 2013294 × 297 (19 KB)OgreBot (talk | contribs)(BOT): Uploading old version of file from en.wikipedia; originally uploaded on 2012-08-01 03:32:53 by Another Matt
08:04, 7 August 2013Thumbnail for version as of 08:04, 7 August 2013288 × 305 (14 KB)WepsA (talk | contribs){{Information |Description={{en|Diagram of dodecahedron. For key, see its use in Dodecahedron article.}} |Source=Self-drawn diagram |Date={{Original upload date|2012-08-01}}<br/> ({{Original upload date|2012-08-01}} (first version); {{Original upload d...

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