The Thirtieth Stellation of the Great Rhombicosidodecahedron

Image

The Thirtieth Stellation of the Great Rhombicosidodecahedron

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.

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.

A Rhombic Triacontahedron, Peeking Through the Faces of an Icosahedron

Image

A Rhombic Triacontahedron, Peeking Through the Faces of an Icosahedron

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.

The Convex Hull of the Polyhedral Cluster Found in the Previous Post

Image

The Convex Hull of the Polyhedral Cluster Found in the Previous Post

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.

A Central Icosahedron, Augmented with Rhombicosidodecahedra On Each Face

Image

A Central Icosahedron, Augmented with Rhombicosidodecahedra On Each Face

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.

An Interesting Stellated Polyhedron

Image

An Interesting Stellated Polyhedron

This polyhedron resembles a cuboctahedron, more than any other familiar polyhedra — but cuboctahedra were not used, at all, in its construction. To make it, I started with the cube of eight truncated octahedra seen in the previous post, and then stellated that figure many times. (How many? Enough times that I lost count — that’s how many.)

Stella 4d was used for this, and you may try it for free at http://www.software3d.com/stella.php.

A Cubic Arrangement of Truncated Octahedra

Image

A Cubic Arrangement of Truncated Octahedra

This cubic arrangement of eight truncated octahedra has a hole in the center, and indentations in the center of each face of the cube. What would fit in these gaps? More truncated octahedra of the same size, that’s what. This wouldn’t be true for most polyhedra, but the truncated octahedron is unusual in that it can fill space without leaving gaps — much like hexagons can tile a plane, but in three dimensions.

Stella 4d was used to create this image, and you may try it for free at http://www.software3d.com/stella.php.

A Cube of Snub Cubes

Image

A Cube of Snub Cubes

This cubic arrangement of eight snub cubes, one of the minority of polyhedra which are chiral, includes four “right-handed” snub cubes, and four that are “left-handed.”

Stella 4d was used to create this image, and you may try it for free at http://www.software3d.com/Stella.php.

An Enantiomorphic Pair of Snub Cubes

Image

An Enantiomorphic Pair of Snub Cubes

Unlike most polyhedra, the snub cube is chiral, meaning it exists in “left-handed” and “right-handed” forms. In this fused pair of snub cubes, there is one of each type.

Stella 4d was used to create this image, and you may try it for free at http://www.software3d.com/stella.php.

An Enantiomorphic Pair of Snub Dodecahedra

Image

An Enantiomorphic Pair of Snub Dodecahedra

Unlike most polyhedra, the snub dodecahedron is chiral, meaning it exists in “left-handed” and “right-handed” forms. In this fused pair of snub dodecahedra, there is one of each type.

Stella 4d was used to create this image, and you may try it for free at www.software3d.com/stella.php.