Coffee Mug to Donut

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A topologist is a mathematician who can't tell the difference between a coffee mug and a donut—both are surfaces of genus 1. This Demonstration shows a continuous deformation—known as a homeomorphism—of a coffee mug into a donut, then back to a coffee mug.

Contributed by: S. M. Blinder (March 2011)
Open content licensed under CC BY-NC-SA


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