Cluster of Six Rhombicosidodecahedra

Augmented Cubocta

To make this cluster, start with a cuboctahedron, then augment each of its square faces with rhombicosidodecahedra. Although the cuboctahedron has cuboctahedral symmetry, this cluster does not — rather, it has tetrahedral symmetry. I created this using Stella 4d, which is available here.

Trinary Rhombicosidodecahedra

Faceted Augmented Rhombicosidodeca

This image of three rhombicosidodecahedra “orbiting” a common center was made with Stella 4d, a program you may try for free at this website.

A Rhombicosidodecahedron, Made of Rhombicosidodecahedra

This “metarhombicosidodecahedron” took a long time to build, using Stella 4d, which you can find at http://www.software3d.com/Stella.php — so, when I finished it, I made five different versions of it, by altering the coloring settings. I hope you like it.

Augmented Rhombicosidodeca

Augmented Rhombicosidodeca2

Augmented Rhombicosidodeca4

Augmented Rhombicosidodeca5

Augmented Rhombicosidodeca6

Rhombicosidodecahedral Cluster of Rhombic Triacontahedra

Image

Rhombicosidodecahedral Cluster of Rhombic Triacontahedra

Since rhombic triacontahedra can form pentagonal rings, triangular rings, and square rings, I wanted to find out if a rhombicosidodecahedron could be built out of these building blocks. As you can see here, the attempt was a success. Each rhombic triacontahedron which appears here is located at the vertex of a rhombicosidodecahedron.

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