Pluto and Charon, on the Faces of a Truncated Octahedron

The astronomical images here were taken by NASA’s New Horizons probe, while the geometry was done using Stella 4d: Polyhedron Navigator, a program you can try for free at http://www.software3d.com/Stella.php.

A 62-Faced Faceting of the Icosidodecahedron

The faces of this polyhedron are twelve regular pentagons, thirty golden rectangles, and twenty equilateral triangles. I made it using Stella 4d, which you can try for free at http://www.software3d.com/Stella.php.

Another Faceting of the Truncated Octahedron

This particular faceting is made of six square faces, and eight {6/2} hexagons.

Here it is again, in “rainbow color mode”:

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

A Non-Convex Polyhedral Cluster Featuring Regular Heptagons, With a Puzzle

I stumbled upon this while playing with Stella 4d: Polyhedron Navigator, a program you can try for free at https://www.software3d.com/Stella.php. It’s difficult to herd regular heptagons.

There’s an obvious question raised by this image: what are the components of the polyhedral cluster, especially the one with heptagonal faces? Comments on this would be appreciated, especially ones with images of the components.

One Compound of Pyramids, and Another of Dipyramids

The compound above has eight components, each of which is a tall, triangular, and off-center pyramid. The one below has three co-centered components: elongated square dipyramids.

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