This is a zonohedrified pentagonal prism. It has ninety rhombic faces, and they are based on the vertices of that prism. I made it using Stella 4d, which you can buy, or try for free, at http://www.software3d.com/Stella.php.
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.
I made this polyhedron, which has 170 faces, using Stella 4d: Polyhedron Navigator. You may try this program, for free, at http://www.software3d.com/Stella.php.
I made this model using Stella 4d, which you can try for free at this website.
This zonohedron is made from the truncated octahedron’s vertices, edges, and faces. I made it using Stella 4d, which you can try for free at http://www.software3d.com/Stella.php.
The decagons and octagons in this zonohedron are regular. The octadecagons are, sadly, only equilateral. I made this using Stella 4d, which you can try for free, right here.
To make this using Stella 4d (available here), I started with an octahedron, and then performed a face-based zonohedrification on it — six times.
I created this symmetrohedron as the zonohedron based on the faces, edges, and vertices of the tetrahedron. It has fifty faces: thirty squares, plus eight regular hexagons, and twelve merely-equilateral hexagons. I made it using Stella 4d, which you can try for free at this website.
This zonohedron has 432 faces, and is shown here with two different coloring-schemes — coloring faces by number of sides (above) and rainbow color mode (below). I made these using Stella 4d, which you can try for yourself, for free, at this website: http://www.software3d.com/Stella.php.
The one below is in “rainbow color mode.”
I made this using Stella 4d, which you can try for free at http://www.software3d.com/Stella.php.
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