
I made this using Stella 4d: Polyhedron Navigator. You can get a free trial download of this program at http://www.software3d.com/Stella.php.

I made this using Stella 4d: Polyhedron Navigator. You can get a free trial download of this program at http://www.software3d.com/Stella.php.
This 38-faced polyhedron has been bugging me for over a week. I have a gut feeling that I’ve blogged it before, but my repeated searches have not found it. Perhaps I’m wrong, and it isn’t a “rerun” after all.
I made it using Stella 4d, which 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 http://www.software3d.com/Stella.php.
To make this, I stellated the dual of the tetrated dodecahedron over 200 times, and then applied Stella 4d‘s “try to make faces regular” function. This is probably not the easiest method to use, but I don’t know of any others. The quadrilaterals are all kites.
If you’d like to give Stella a try, for free, the website to visit is http://www.software.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.

I made this using Stella 4d, which you can try for free at http://www.software3d.com/Stella.php.
This version colors the faces by number of sides.
This one is in “rainbow color mode.”
I made these images using Stella 4d, which you can try for free at http://www.software3d.com/Stella.php.
This is the rhombic triacontahedron, one of the Catalan solids.
Now here’s the same polyhedron, but with the three-valent vertices truncated, exposing twenty triangular faces.
Here’s what it looks like with only the twelve five-valent vertices truncated.
Finally, here’s the fully truncated rhombic triacontahedron.
I created these polyhedra using Stella 4d, a program you can try for free right here.
This is the rhombic dodecahedron, one of the Catalan solids.
Now here’s the same polyhedron, but with the three-valent vertices truncated, exposing eight triangular faces.
Here’s what it looks like with only the six four-valent vertices truncated.
Finally, here’s the fully truncated rhombic dodecahedron.
I created these polyhedra using Stella 4d, a program you can try for free right here.

I made this using Stella 4d, which you can find at this website.