A Compound of Three Flattened Tetrahedra

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

Three Compounds from the Stellation-Series of the Triakis Octahedron

The first solid below is the sixth stellation of the triakis octahedron, one of the Catalan solids. It’s also a compound of three square trapezohedra.

The next solid is the 8th stellation of the triakis octahedron, and it’s also a four-part compound of partial cubes.

Finally, here’s the 18th stellation of the triakis octahedron, which is also a compound of six square-based pyramids.

Two Views of a Wrinkled Octahedron

The image above has faces colored by number of sides, while the one below is in “rainbow color mode.” I made these using Stella 4d, which you may try for free at http://www.software3d.com/Stella.php.

Abraham Lincoln, on Elections

Image

A Compound of Four Hexagonal Prisms

I made this by faceting a great rhombicuboctahedron, using Stella 4d, a program you may try for free at this website: http://www.software3d.com/Stella.php.

A 98-Faced Polyhedron

This polyhedron has fourteen regular faces: six squares, and eight hexagons. Its irregular faces include twelve rhombi, 24 obtuse isosceles triangles, and 48 acute scalene triangles, for a total of 98 faces. It has cuboctahedral symmetry. I made it using Stella 4d, a program you may try for free at http://www.software3d.com/Stella.php. The first image shown here has the faces colored by face type, while the second image shows what it looks like in “rainbow color mode.”

Here’s a third one, with the faces colored by number of sides.

An Aperiodic Tiling of Golden Triangles and Golden Gnomons

Image

A Compound of Four Hexagonal Dipyramids

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

The 43rd Stellation of the Snub Dodecahedron

The faces of this solid are twenty equilateral triangles, plus sixty kites, for a total of 32 faces. This is the “big brother” of the kite/triangle solid posted here. I made both using Stella 4d, which you can try for free at http://www.software3d.com/Stella.php.

The 36th Stellation of the Snub Cube

The faces of this solid are eight equilateral triangles, plus 24 kites, for a total of 32 faces. I made it using Stella 4d, which you can try for free at http://www.software3d.com/Stella.php.