Jump to content

File:Torus from rectangle.gif

Page contents not supported in other languages.
This is a file from the Wikimedia Commons
From Wikipedia, the free encyclopedia

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:

Source Own work
Author Lucas Vieira
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.

Captions

Converting the floor board to torus with three steps. Checkerboard > Cylinder > Torus.

Items portrayed in this file

depicts

media type

image/gif

File history

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

Date/TimeThumbnailDimensionsUserComment
current10:30, 22 May 2012Thumbnail for version as of 10:30, 22 May 2012400 × 300 (262 KB)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...

Global file usage

Retrieved from "https://en.wikipedia.org/wiki/File:Torus_from_rectangle.gif"