Two Views of a Faceted Truncated Octahedron

In the image above, the faces of this faceted truncated octahedron are colored by face type. In the one below, the faces are colored by number of sides: blue for triangles, red for quadrilaterals, and yellow for hexagons.

I made these using Stella 4d, which you can try for free at this website.

A Faceted Snub Cube, and Its Dual

The faceted snub cube shown above is colored by face type. The one below has faces colored by number of sides, with red triangles and yellow quadrilaterals.

Here’s the dual of this particular faceting, shown in “rainbow color mode.”

I made these virtual polyhedron models using Stella 4d, which you can try for free right here.

A Faceted Truncated Icosahedron With 602 Faces

In the first image of this faceted polyhedron shown, above, the faces are colored by face type. In the second image, the faces are colored by number of sides. The red faces are triangles, the yellow faces are quadrilaterals, and the blue faces are {10/4} polygons.

The third image, below, shows this faceted polyhedron in “rainbow colored mode.” I made these images using Stella 4d, which you can try for free at this website.

An 860-Faced Faceted Rhombicosidodecahedron

In this first image, the faces are colored by face type.

The second image has the faces colored by number of sides: three (red), four (yellow), and six (blue).

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

A 72-Faced Faceted Rhombicosidodecahedron

Twelve of the faces of this polyhedron are star pentagons, and they are easy to spot. The other sixty faces are isosceles trapezoids, and they’re harder to find because parts of them are hidden inside in the solid. The image below shows where these trapezoids can be found.

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

A Faceted Version of the Icosidodecahedron

The faces of this polyhedron are twelve yellow regular star pentagons, twenty blue equilateral triangles, and thirty golden rectangles, shown in red. I used Stella 4d to make this, and you can try this program for free, at http://www.software3d.com/Stella.php.

A Faceted Truncated Icosahedron With 32 Faces

This faces of this polyhedron include 12 regular pentagons, and twenty 6/2-gons. I made it using Stella 4d, which you can try for free at http://www.software3d.com/Stella.php.

One of Many Faceted Truncated Icosahedra

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

A Faceted Truncated Dodecahedron

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

A Faceting of the Great Rhombicosidodecahedron

I made this from the Archimedean Great Rhombicosidodecahedron, using a program called Stella 4d. If you’d like to try Stella for yourself, you can do so, for free, at this website: http://www.software3.com/Stella.php.