File:6Cube-QuasiCrystal.jpg

From Wikimedia Commons, the free media repository
Jump to navigation Jump to search

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

Captions

Captions

Add a one-line explanation of what this file represents

Summary

[edit]
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

Licensing

[edit]
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.
This file has been superseded by NewImage.ext. It is recommended to use the other file. Please note that deleting superseded images requires consent.
 new file

File history

Click on a date/time to view the file as it appeared at that time.

Date/TimeThumbnailDimensionsUserComment
current02:28, 4 October 2017Thumbnail for version as of 02:28, 4 October 20171,383 × 1,360 (484 KB)Tomruen (talk | contribs)crop
16:42, 3 October 2017Thumbnail for version as of 16:42, 3 October 20171,751 × 1,752 (639 KB)Jgmoxness (talk | contribs)Modified edge colors to be defined by which of 6 dimensions the edge aligns with.
17:08, 1 January 2012Thumbnail for version as of 17:08, 1 January 20121,800 × 1,800 (619 KB)Jgmoxness (talk | contribs)lower res
18:30, 29 December 2011Thumbnail for version as of 18:30, 29 December 20112,250 × 2,250 (819 KB)Jgmoxness (talk | contribs)

You cannot overwrite this file.

The following 2 pages use this file:

File usage on other wikis

The following other wikis use this file:

Metadata

This file contains additional information such as Exif metadata which may have been added by the digital camera, scanner, or software program used to create or digitize it. If the file has been modified from its original state, some details such as the timestamp may not fully reflect those of the original file. The timestamp is only as accurate as the clock in the camera, and it may be completely wrong.

Retrieved from "https://commons.wikimedia.org/w/index.php?title=File:6Cube-QuasiCrystal.jpg&oldid=770187578"