Bandit the Cat, in a 31-Zone Zome Zonohedron

Just as I was about to take this picture of my latest Zome structure, Bandit the Cat slipped in through the all-blue decagonal hole where his tail is still located. He stayed in it until it had been thoroughly inspected, then slipped back out. He did this without causing the slightest bit of damage to the model.

This zonohedron has 242 faces, and is the largest convex polyhedron which can be built with only R0, B0, and Y0 Zome parts. It’s 67 cm tall. If made of all-1 struts, instead of zeroes, it is 1.08 m tall. With all size-2 struts, it is 1.75 m tall. I’ve actually built the “2” version, many times, with students. It requires a lot of support during construction, so that it does not collapse under its own weight. At one point, when teaching at Arkansas Governor’s School, we built one, and got eleven people inside it before it fell. People, unlike cats, generally enter through the multicolored dodecagonal holes.

The Zometool company (http://www.zometool.com) doesn’t make size-3 struts any more, but I still have some left from when they did. This zonohedron made of “3” struts would be 2.84 m tall, which is over nine feet. I may try to built one someday, but not today.

A Wire-Frame Zonohedron Based On the Faces, Edges, and Vertices of an Icosahedron

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A Wire-Frame Zonohedron Based On the Faces, Edges, and Vertices of an Icosahedron

This is the shape of the largest zonohedron one can make with red, yellow and blue Zome (see http://www.zometool.com for more on that product for 3-d real-world polyhedron modeling). This image was made using Stella 4d, which you can find at http://www.software3d.com/stella.php.