Math Encounters - Tales of Impossibility: The Problems of Antiquity

“Nothing is impossible!" While it is comforting to believe this greeting card sentiment — it's the American dream, after all — there are impossible things. Ancient Greek geometers and future generations of mathematicians tried and failed to square circles, trisect angles, double cubes, and construct regular polygons using only a compass and straightedge. Join David Richeson, Professor of Mathematics at Dickinson College and Editor of Math Horizons, to try your hand at some of these unusual geometric construction techniques. But get ready to fail — after two thousand years, all four of these “problems of antiquity” have been proved to be mathematically impossible!

Math Encounters is a public presentation series celebrating the spectacular world of mathematics, presented by the Simons Foundation and the National Museum of Mathematics.

For further information, call the National Museum of Mathematics at

[explorerc]

This series about mathematicans and history are interesting.

[bazsnell]

Wonderful stuff! Brilliant content as always.

[paramahsungelee]

Sir, if one uses a string as an additional tool, can one trisect an arbitrary angle exactly? If one can prove that two different circle's arc of radius x cm and 2x cms respectively are of exactly the same length.Thanks