Checked content

File:Torus from rectangle.gif

Torus_from_rectangle.gif(400 × 300 pixels, file size: 262 KB, MIME type: image/gif, looped, 49 frames, 14 s)
Description A torus can be constructed by two transformations on a rectangle. First, we bend along one direction, joining opposite sides, creating a cylinder. Then, we bend the cylinder so the ends are joined. The resulting figure is a torus. However, the second transformation does not preserve lengths on the surface, as can be observed by the extension and compression of the checkered pattern.

Here's the diagram of this process:

TorusAsSquare.svg
Date
Source Own work
Author Kieff
Permission
( Reusing this file)
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.

The following pages on Schools Wikipedia link to this image (list may be incomplete):

Schools Wikipedia and SOS Children

All five editions of Schools Wikipedia were compiled by SOS Childrens Villages. More than 2 million people benefit from the global charity work of SOS Children's Villages, and our work in 133 countries around the world is vital to ensuring a better future for vulnerable children. Sponsoring a child is a great way to help children who need your support.