31 Jul

“Marshmallow” Snub Dodecahedron

Here’s a a student-built snub dodecahedron that resulted from a session I led in July 2018 at The College of New Jersey. It uses the classic “marshmallow and toothpick” construction technique, just with styrofoam balls in place of the marshmallows and 1/8″ diameter dowels in place of the toothpicks. For geometric accuracy, the students did… [Read more]

02 Jan


The title stands for “rhombic hexecontahedron of dodecahedra,” and that’s exactly what Matt Parker and I built at Studio Infinity over the 2017-2018 New Year’s break. Here’s a photo of the finished product; this post will be fleshed out further as time permits.

07 Nov

Stretching the Point

So far, we’ve created a lot of interesting small models of tensegrity structures. However, for doing public programs of the sort Storm King Art Center was planning, it’s always helpful to be able to build much larger models of things. Building giant models seems to get the ideas across more vividly, engage visitors more thoroughly,… [Read more]

31 Jul

Polyhedral Loops

Here’s a closeup of some snub dodecahedra that students built as part of a group construction I led at The College of New Jersey in July of 2017. They are each approximately 80cm in diameter. And here are five of them connected by pentagonal faces into a “V” configuration. If we’d had time to build… [Read more]

07 Apr

Octahex Ring

Here are two large-scale group constructions I facilitated the construction of as part of a session at a 2017 MAA Spring Sectional meeting at Frostburg University. The first is the one I have dubbed the “Octahex Ring” — it’s a compound of a dozen octahedra:

23 Apr

Elevated Icosidodecahedron

Here’s an installation I designed for the National Museum of Mathematics for the 2016 USA Science and Engineering Festival in Washington DC. The only construction materials are dowels, off-the-shelf end caps, and zip ties. It’s not actually a fully elevated icosidodecahedron; only the pentagonal faces are elevated. And here’s another one from that event with… [Read more]

22 Dec

Solstice Star

A picture from the top of the Flatiron Building in Manhattan, NY of an installation I designed for the National Museum of Mathematics for an observation of the winter solstice. It was geometrically appropriate, in a way, because the highest angle the sun reaches in the sky on the winter solstice is quite close to… [Read more]