### Math Monday: Twelve Pentagons, Twenty Hexagons

by Glen Whitney

First, there is the 1949 Autonomous Living Unit by Buckminster Fuller himself:The great circles intersecting the faces of this structure make the truncated dodecahedron a bit hard to see, but it’s there: one of the pentagons is front and center, just above the white prism that may serve as the unit’s front door.

Second is the optional hub cap of the Pontiac Trans Am, model years 1971-76:Third, featured at this year’s New York City Maker Faire at the New York Hall of Science, was the rotating Happy Fun Ball by Rob Marshall:And finally, perhaps the most dramatic truncated icosahedron (or pair of them) yet, is Leo Villareal’s Buckyball, currently on display in Madison Square Park in Manhattan through 2013 Feb 1.The striking edge lighting changes through a myriad of patterns:It’s auspicious that Buckyball, which links mathematics and culture, will be on display less than 200 meters from the National Museum of Mathematics when it opens soon as America’s primary cultural institution centered on mathematics. We hope to see you in both places!

This article first appeared on Make: Online, November 19, 2012.