Zome can be rearranged in trillions of ways. Here are three of them.
I found these yesterday in Facebook’s “10 years ago” memories it likes to give me every day. If you want to get your own Zome, the website to visit is http://www.zometool.com.
Here’s an icosidodecahedron, one of the thirteen Archimedean solids.
Using a computer program called Stella 4d (available here), I augmented each face of this solid with a pyramid. Here’s the result.
Also interesting is the dual of this pyramid-augmented icosidodecahedron:
In addition to the sixty heptagons, there are twelve regular pentagons and sixty quadrilaterals in this polyhedron, along with 380 triangles of various shapes and sizes. That’s 512 faces in all.
I used Stella 4d: Polyhedron Navigator to make this. You may try this program, for free, at http://www.software3d.com/Stella.php.
In addition to the eighteen regular octagons, this polyhedron also has eight equiangular hexagons and twenty-four isosceles trapezoids among its fifty faces. I made it using Stella 4d, which you can try, for free, right here.
Here’s a single dodecahedron.
A new “cluster polyhedron” can be made by augmenting each pentagonal face with another dodecahedron.
If you can do it once, you can do it again, augmenting each pentagon with a new dodecahedron.
Once more.
I made these polyhedral clusters using Stella 4d: Polyhedron Navigator, which you can try for free at http://www.software3d.com/Stella.php.
Here is this polyhedron’s dual.
I made these using Stella 4d, a program you can try for free at http://www.software3d.com/Stella.php.
I made this using Stella 4d, which you can try for free at this website.
I made this using Stella 4d, which you can try for free right here.
The components of this compound are eight-faced trapezohedra. Here’s what just one of them looks like:
I made these images using Stella 4d, which you can try for free right here.
I made this using Stella 4d, which you can try for free right here.
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