Coffee Mug to Donut

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deformation
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.

External Links

Genus (Wolfram MathWorld)
Homeomorphism (Wolfram MathWorld)
Topology (Wolfram MathWorld)

Permanent Citation

S. M. Blinder
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​"Coffee Mug to Donut"​
​http://demonstrations.wolfram.com/CoffeeMugToDonut/​
​Wolfram Demonstrations Project​
​Published: March 7, 2011