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Image: Torus from rectangle

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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:
Title: Torus from rectangle
Credit: Own work
Author: Lucas Vieira
Permission: Public domainPublic domainfalsefalse 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.
Usage Terms: Public domain
License: Public domain
Attribution Required?: No

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