This 24-faced polyhedron, which has pyritohedral symmetry, was formed by repeatedly tetstelling a rhombic triacontahedron, using Stella 4d: Polyhedron Navigator. If you wish, you can try this program for free right here.
This polyhedron was derived from the truncated icosahedron, using Stella 4d, a program you can try for free at http://www.software3d.com/Stella.php.
This polyhedron has pyritohedral symmetry. I made it with Stella 4d, which you can try for free right here. The red faces are rhombi, and the purple faces are kites. The blue faces look, superficially, like kites, but they don’t quite qualify as anything other than convex quadrilaterals.
The rhombic octagonoid, from which this polyhedron is derived, can be found here. I made this stellation of its dual using Stella 4d, which you can try for free at this website. The non-stellated dual can be found in the post immediately preceding this one.
This polyhedron is the dual of the rhombic octagonoid. I made it using Stella 4d, which you can try for free right here.
This is the second tetstell of the icosidodecahedron. Tetstelling is like normal stellation, except you drop the symmetry of the model to tetrahedral first. It’s an easy trick with Stella 4d, the program I used to make this. You can try it, free, at this website.
Here it is, in the colors Stella chose when I made it again, just now, to double-check those “dozens” in the title of this post.
This was derived from the snub dodecahedron.
I made it using Stella 4d, which you can try for free at http://www.software3d.com/Stella.php.
Created with Stella 4d, which you can try for free here.
In this first image, the faces are colored by face type.
The second image has the faces colored by number of sides: three (red), four (yellow), and six (blue).
I made these images using Stella 4d, which you can try for free at http://software3d.com/Stella.php.
First, here is this polyhedron colored by face type.
Next, the faces are each given their own color, except for parallel faces, which have the sme color.
Finally, here’s what this polyhedron looks like in “rainbow color mode.”
I made these virtual models using Stella 4d, which you can try for yourself right here.
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