This solid has, as faces, 12 regular pentagons, 20 regular hexagons, and 60 isosceles triangles, along with a bunch of quadrilaterals of various types. I made it using Stella 4d, which you can try for free at this website.
I made this using Stella 4d, which you can try for free here.
“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.
I stumbled upon this compound while playing with Stella 4d, a program you can try for free right here.
I made this using Stella 4d, which you can try for free right here.
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.
I made these 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.
I made this using Stella 4d, a program you can try for free right here.
I made this using Stella 4d, which you can try for free at http://www.software3d.com/Stella.php.
Here’s a truncated icosahedron, one of the thirteen Archimedean solids.
The next image shows this solid with its hexagonal faces augmented by prisms.
This augmented polyhedron has an interesting dual:
Finally, here’s this dual shown in “rainbow color mode.”
These images were created with Stella 4d, a program you can try for free right here.
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