Truncated Icosahedron Variant

Posted on 12 June 2022 by RobertLovesPi

I made this using Stella 4d, which you can try for free here.

Two Mandalas (from 2013)

Posted on 9 June 2022 by RobertLovesPi

I found these on Facebook, and could find no evidence that I’d ever blogged them here — so here they are. The first one is based on the number nine, while the second is based on fifteen.

Playing with One of Stella’s “Morph Duals” Functions

Posted on 8 June 2022 by RobertLovesPi

“Morph Duals By Tilting To Duals” is a Stella 4d feature that I haven’t used much. Here’s what happens if you apply it to an icosahedron, at the 50% morphing level: you get the compound of the icosahedron and its dual, the dodecahedron,

If you apply this same operation a second time, here’s what you get.

This appears to be a three-part compound, with two familiar components: the icosahedron (red) and the dodecahedron (orange). Remove those two components, and you get this:

Since this reminds me of an icosidodecahedron, I colored its faces to better suit that identity.

Little peeks at the edges of the solid above made me suspicious, so I hid these purple and green faces, to see the inner structure. Here’s the result.

I made all of these using Stella 4d, which you can try free at http://www.software3d.com/Stella.php.

A Four-Part Polyhedral Compound

Posted on 7 June 2022 by RobertLovesPi

I stumbled upon this compound while playing with Stella 4d, a program you can try for free right here.

The Pyramid-Augmented Cuboctahedron

Posted on 5 June 2022 by RobertLovesPi

I made this using Stella 4d, which you can try for free right here.

A Polyhedron With Sixty Isosceles Trapezoids and Twelve Regular Pentagons as Faces

Posted on 4 June 2022 by RobertLovesPi

The polyhedron above is the convex hull of the pyramid-augmented snub dodecahedron seen in the last post. The one below is its dual, and its faces are sixty kites, and twenty equilateral triangles.