A Polyhedral Snowman

Image

A Polyhedral Snowman

We’re out of school today because of an ice storm, and I wanted to make a snowman. However, we got very little snow — mostly freezing rain and sleet fell — so I can’t make a traditional snowman. Also, it’s really cold outside. So, instead, I stayed inside, where it’s warm, and made a polyhedral snowman out of (from top to bottom) an icosahedron, an icosidodecahedron, and a rhombicosidodecahedron.

Software credit: see http://www.software3d.com/stella.php for a free trial download of Stella 4d, the software used to make this image.

Cluster of 120 Dodecahedra

Image

Cluster of 120 Dodecahedra

Software credit: see http://www.software3d.com/Stella.php — free trial download available.

Cluster of Sixty Icosidodecahedra

Image

Cluster of Sixty Icosidodecahedra

Software credit: see http://www.software3d.com/stella.php — free trial download available.

Thirty-Two Truncated Icosahedra, Clustered Around a Much Larger Icosidodecahedron

Image

Thirty-Two Truncated Icosahedra, Clustered Around a Much Larger Icosidodecahedron

Software credit: visit http://www.software3d.com/stella.php for more information on the program used to make this rotating image. A free trial download is available.

Compound of the Octahedron and the Tetrakis Hexahedron

Image

Compound of the Octahedron and the Tetrakis Hexahedron

This polyhedral compound was found by repeatedly-stellating the 38-faced polyhedron featured in the last post.

Software credit: http://www.software3d.com/stella.php

Compound of Four Triangular Prisms

Image

Compound of Four Triangular Prisms

Software credit: see http://www.software3d.com/stella.php

Base/Dual Compound: The Rhombcuboctahedron and the Strombic Icositetrahedron

Image

Base/Dual Compound:  The Rhombcuboctahedron and the Strombic Icositetrahedron

Alternate names for components of this compound are the rhombicuboctahedron and the kited icositetrahedron.

For more information on the software used to produce this image, please visit http://www.software3d.com/stella.php.

Octahedral Compound of Three Rectangular Prisms

Image

Octahedral Compound of Three Rectangular Prisms

Created with Stella 4d (site to try it: http://www.software3d.com/stella.php).

Rotating Polyhedral Helix

Image

Rotating Polyhedral Helix

It’s made of metabidiminished rhombicosidodecahedra, and can be continued indefinitely.

Software credit, for the program used to create this .gif: see http://www.software3d.com/Stella.php for download and trial demo.

The Compound of Two Truncated Tetrahedra and a Cube

Image

The Compound of Two Truncated Tetrahedra and a Cube

Website to try polyhedra-making software used to make this image: http://www.software3d.com/stella.php