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If It Looks Like a Sphere...

Exploring the newly proposed solution to a famous problem about three-dimensional shapes

Look around at the world, and the objects in it–buildings, trees, people, birds, insects–appear to come in an endless variety of shapes. At first, cataloging these diverse shapes may seem impossible. But on closer inspection, relationships emerge. The bumpy surface of a starfish, for example, is simply a stretched and distorted version of a sphere. The same goes for the surface of a table or a telephone pole. In contrast, a coffee cup is not a sphere but instead a distorted version of a doughnut, and a pretzel can be considered a doughnut with three holes instead of one.

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