Portal:Mathematics/Featured picture/2007 05

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Picture of the month

Mug and Torus morph.gif
Credit: Kieff

It is often suggested that a topologist cannot tell the difference between a coffee cup and a doughnut. This is because these objects when thought of as topological spaces are homeomorphic. The above picture depicts a continuous deformation of a coffee cup into a doughnut such that at each stage the object is homeomorphic to the original.

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