File:Tesseract subspace shapes.svg

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

Original file(SVG file, nominally 12,226 × 14,428 pixels, file size: 1.01 MB)

Captions

Captions

Add a one-line explanation of what this file represents

Summary[edit]

Description
Example of 1c in 2b in 3b
The lengths are square roots of 1 to 4.

These are the 10 essentially different tesseract subspaces with dimensions 1 to 3, ordered by inclusion.

E.g. all rectangles are in the cuboid 3b: 2a and 2b as cuts parallel to faces; 2c and 2d as diagonals.

This is the non-trivial part of a Hasse diagram with 12 vertices.
Of course the origin is in the four line segments and the two cuboids are in the tesseract.

See Tesseract subspaces (image set)

This SVG was created with Inkscape.
 
This image was created with POV-Ray.
Date
Source Own work
Author
Watchduck
You can name the author as "T. Piesk", "Tilman Piesk" or "Watchduck".

Licensing[edit]

I, the copyright holder of this work, hereby publish it under the following licenses:
GNU head Permission is granted to copy, distribute and/or modify this document under the terms of the GNU Free Documentation License, Version 1.2 or any later version published by the Free Software Foundation; with no Invariant Sections, no Front-Cover Texts, and no Back-Cover Texts. A copy of the license is included in the section entitled GNU Free Documentation License.
w:en:Creative Commons
attribution
This file is licensed under the Creative Commons Attribution 4.0 International 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.
You may select the license of your choice.

File history

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

Date/TimeThumbnailDimensionsUserComment
current19:26, 20 October 2019Thumbnail for version as of 19:26, 20 October 201912,226 × 14,428 (1.01 MB)Watchduck (talk | contribs)convert 1a to path
14:00, 20 October 2019Thumbnail for version as of 14:00, 20 October 201912,226 × 14,428 (1.01 MB)Watchduck (talk | contribs)

Metadata