Archive for Topology and geometry

CK. The Third Tree

Niclas Hedell, a listener, poses a problem from his days in the Swedish military: given two trees in the forest, and a rope twice as long as the distance between the trees, how do you find a third tree so that all three make a right triangle.

And we explain how the Stork can catch the Frog.

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BT. A Runcinated Dodecaplex

We visit a giant model of a four-dimensional polyhedron, made of the fabulous Zome math construction toy. Paul Hildebrandt, president of Zome, weighs in!

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BI. The Shape of the Universe

Jeff Weeks, author of “The Shape of Space”, tells us about the hypersphere, the Poincaré conjecture and the topology of the universe!

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BH. The Poincaré Conjecture

Jeff Weeks, author of “The Shape of Space”, discusses the hypersphere and the famous Poincaré Conjecture!

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AS. A Puzzle From Peter Winkler

Peter Winkler, author of “Mathematical Puzzles: A Connoisseur's Collection”, asks how many coins are needed to cover a table.

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