Tessellation Featuring Kites and Six-Pointed Stars

Image

Tessellation Featuring Kites and Six-Pointed Stars

Cluster of Twenty-One Icosidodecahedra

Image

Cluster of Twenty-One Icosidodecahedra

One of the icosidodecahedra is in the center, and the others are attached to its twenty triangular faces.

Software credit: I used Stella 4d to build this. It is available at http://www.software3d.com/Stella.php.

Warp Eight

Image

Warp Eight

Compound of Four Hexagonal Dipyramids

Image

Compound of Four Hexagonal Dipyramids

Created using Stella 4d, available at http://www.software3d.com/Stella.php.

Tessellation Using Pentagons and Rhombi

Image

Tessellation Using Pentagons and Rhombi

Spectral Sunrise

Image

Spectral Sunrise

Compound of an Octahedron and Two Triakis Tetrahedra

Image

Compound of an Octahedron and Two Triakis Tetrahedra

Created with Stella 4d, available at http://www.software3d.com/Stella.php.

A Cluster of Seventeen Truncated Cubes with Tetrahedral Symmetry

Image

A Cluster of Seventeen Truncated Cubes with Tetrahedral Symmetry

Software credit: see Stella 4d, available (including a free trial download) at http://www.software3d.com/Stella.php.

Polyhedral Porcupine

Image

Polyhedral Porcupine

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

An Octahedron, Augmented with Eight Great Icosahedra, and the Dual of this Augmented Polyhedral Cluster

Image

An Octahedron, Augmented with Eight Great Icosahedra, and the Dual of this Augmented Polyhedral Cluster

I made these using Stella 4d, which you can try at http://www.software3d.com/Stella.php. Here is its dual, also:

GrIcosadual-Augmented Octa