File:Torus from rectangle.gif
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Torus_from_rectangle.gif (400 × 300 pixels, file size: 262 KB, MIME type: image/gif, looped, 49 frames, 14 s)
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| 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:  |
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| Source | Own work | ||
| Author | Lucas Vieira | ||
| Permission (Reusing this file) |
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| Date/Time | Thumbnail | Dimensions | User | Comment | |
|---|---|---|---|---|---|
| current | 11:30, 22 May 2012 | | 400 × 300 (262 KB) | wikimediacommons>LucasVB | {{Information |Description=A torus can be constructed by two transformations on a rectangle. First, we bend along one direction, joining opposite sides, in order to create a cylinder. Then, we bend the cylinder so the ends are joined. The resulting fig... |
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