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.
My 2024 US Presidential Election Prediction
I predict a narrow electoral victory for Joe Biden, with a wider popular majority. I made this map on the website http://www.270towin.com. It’s free to use.
Icosagonal Prism Variant
I made this using Stella 4d, which you can try for free right here: 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 Faceted Truncated Octahedron
I made this faceted truncated octahedron using Stella 4d, which you can try right here. It has twenty faces: six large squares, six small squares, and eight {6/2} hexagons.
A Compound of the Small and Great Stellated Dodecahedra
I made these compounds using Stella 4d, which you can try for free at http;//www.software3d.com/Stella.php.
A Truncation of the Small Stellated Dodecahedron
I made this with Stella 4d: Polyhedron Navigator, a program 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.