I made this by zonohedrificaton of an octahedron, using its faces, edges, and vertices, and software called Stella 4d, which you can try for free right here.
This polyhedron has six regular octagons (red), a dozen octagons which are merely equilateral (yellow), eight regular hexagons, and 24 squares.
I made this using Stella 4d, software you can try for free right here.
Icosahedra have twenty faces. In the image above, only twelve of those triangles are visible; the other eight have been hidden, so you can see what this solid looks like on the inside. The twelve which remain have pyritohedral symmetry — the symmetry of a volleyball.
I made this using Stella 4d, which you can try for free at http://www.software3d.com/Stella.php.
This polyhedron has 12 faces which are regular decagons, 150 quadrilateral faces, and 80 triangular faces, 20 of which are regular. I made it using Stella 4d, which you can try for free at http://www.software3d.com/Stella.php.
The pink hendecagons are regular, and there are twenty-two of them.
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