Thursday, November 1, 2012

A Few Fun-"Packed" Links

I just wanted to share a couple of geometry-related links that I ran across this evening.

This article starts with the penny-packing problem and builds up to discussing the unsolved problem of how to best back tetrahedra in space. (It's the most recent Feature Column at the American Mathematical Society.)

Is this the best way to pack pentagons? Nobody knows.

On a related topic, James and I got to talking about putting together polyhedra in nice ways--like to build another one. A cuboctahedron, in particular. That made me think of this paper from Bridges over the summer about making loops out of copies a polyhedron.

And finally, here are some four-dimensional symmetry puzzles. Awesome.

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