File:KleinBottleAsSquare.svg

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

Original file ‎(SVG file, nominally 313 × 313 pixels, file size: 7 KB)

Captions

Captions

Add a one-line explanation of what this file represents

Summary

[edit]

The fundamental polygon of a Klein bottle. To construct the Klein bottle, join the sides with the same letter together so that the directions of the arrows match. (This cannot be done in three dimensions without the surface intersecting itself.)

Licensing

[edit]
Public domain I, the copyright holder of this work, release this work into the public domain. This applies worldwide.
In some countries this may not be legally possible; if so:
I grant anyone the right to use this work for any purpose, without any conditions, unless such conditions are required by law.

File history

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

Date/TimeThumbnailDimensionsUserComment
current06:51, 10 November 2007Thumbnail for version as of 06:51, 10 November 2007313 × 313 (7 KB)Ilmari Karonen (talk | contribs)flip arrows to match Image:MöbiusStripAsSquare.svg
15:13, 11 February 2006Thumbnail for version as of 15:13, 11 February 2006313 × 313 (7 KB)Ilmari Karonen (talk | contribs)The en:fundamental polygon of a en:projective plane. To construct the projective plane, join the sides with the same letter together so that the directions of the arrows match. (This cannot be done in three dimensions without the surface inter

You cannot overwrite this file.

The following 2 pages use this file:

File usage on other wikis

The following other wikis use this file:

Retrieved from "https://commons.wikimedia.org/w/index.php?title=File:KleinBottleAsSquare.svg&oldid=455149952"