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.

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, and be just plain fun.

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.

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:

Here’s a rhombic triacontahedron built as a compound of dodecahedra joined face to face that I designed and led a public building of for the 2016 World Science Festival in New York City.

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.

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 the vertex angle of the regular heptagram approximated by the arrangement of lights in the photo.