A Polyhedron Featuring Eight Regular Enneagons and Twenty-four Kites

8 enneagons and 24 kites

I made this using Stella 4d, which you can try for free right here.

A Symmetrohedron Featuring Regular Hexadecagons and Regular Hexagons

Image

symmetrohedron featuring reguarhexadecagons and hexagons.gif

I made this using Stella4d, which you can try for free right here.

A Polyhedron with 62 Faces Which Features Eight Regular Dodecagons

Polyhedron featuring 62 faces with 8 of them regular dodecagons

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

A Rhombic Triacontahedron with Faces Which Are Tessellated

Rhombic Triaconta.gif

I used three programs to make this: Stella 4d, Geometer’s Sketchpad, and MS-Paint. You can try Stella for free at http://www.software3d.com/Stella.php.

Cluster of 33 Icosidodecahedra

There’s one icosidodecahedron at the center of this cluster, with more icosidodecahedra attached to each of the central figure’s 32 faces. In the first version, the coloring is simply based as the number of sides for each face.

Augmented Icosidodeca 33.gif

In the next picture, the coloring is by face-type (position in the overall cluster).

Augmented Icosidodeca 33 color by face type.gif

The last image shown here has the cluster in “rainbow color mode.”

Augmented Icosidodeca 33 rainbow.gif

I used Stella 4d to make these — a program you may try for free right here.

A Rhombicosidodecahedron, with the Square Faces Rendered Invisible

This polyhedron’s square faces are hidden from view, so that you can see both the front and back of the solid as it rotates. I made this using Stella 4d: Polyhedron Navigator, which you can try for yourself, free, at http://www.software3d.com/Stella.php.

Rhombicosidodeca

Saturnian Rhombic Dodecahedron

Rhombic Dodeca

The image of Saturn was taken by NASA, and I put it on the faces of a rhombic dodecahedron, and created this image, with a program called Stella 4d. You can try this program for free at http://www.software3d.com/Stella.php.

The Sun, Earth, and Moon Adorning the Faces of a Great Rhombicosidodecahedron

Trunc Icosidodeca

This polyhedral image was created using Stella 4d, a program you can try for yourself, for free, at http://www.software3d.com/Stella.php.

Octahedra and Truncated Cubes Can Fill Space Without Leaving Any Gaps

Augmented Trunc Cube

I created this using Stella 4d, which you can try for free right here. It’s much like a tessellation, but in three dimensions instead of two.

Octahedra and Cuboctahedra Can Fill Space Without Leaving Any Gaps

Augmented Cubocta

I created this image using Stella 4d, which you can try for free right here. It’s much like a tessellation, but in three dimensions instead of two.