Rhombicosidodecahedral Cluster

Image

Rhombicosidodecahedral Cluster

It’s made of rhombicosidodecahedra, and has the overall shape of a rhombicosidodecahedron as well. To make it, I started with the polyhedron in the last post, and then augmented each green pentagonal face with a rhombicosidodecahedron. I used software available here: http://www.software3d.com/stella.php.

Dodecahedral Cluster of Icosidodecahedra

Image

Dodecahedral Cluster of Icosidodecahedra

To obtain this polyhedron, I took the one from the last post, and then augmented the twenty outermost triangles with icosidodecahedra. The fact that this new cluster has the overall shape of a dodecahedron caught be by surprise.

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

Mandala-Covered Icosahedron

Image

Icosa

The polyhedral software I used to make this image may be purchased, or tried for free, at http://www.software3d.com/Stella.php.

The 600-Cell

Image

6-Ex, 600-cell, Hexacosichoron

This regular 4-d polytope is made of 600 tetrahedral unit cells. It is rotating in hyperspace, continually changing the three-dimensional “slice” of it which you can see. The software used to make this image may be purchased, or tried for free, at http://www.software3d.com/Stella.php.

Triacontahedral Tube

Image

Triacontahedral Tube

The software used to make this is available as a free trial download at http://www.software3d.com/stella.php.

Ring of Ten Rhombic Triacontahedra

Image

Ring of Ten Rhombic Triacontahedra

I made this .gif with Stella 4d, software available as a free trial download at http://www.software3d.com/stella.php.

Ring of Ten Rhombicosidodecahedra

Image

Ring of Ten Rhombicosidodecahedra

If oriented just right, ten rhombicosidodecahedra can be stuck together to form a regular decagonal ring.

You may try the software I used to make this, as a free trial download, at http://www.software3d.com/stella.php.

An Icosahedral Cluster of Truncated Icosahedra

Image

An Icosahedral Cluster of Truncated Icosahedra

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

Ring of Seven Snub Cubes

Image

Augmented Snub Cube

Seven snub cubes almost make a perfect ring. There’s a small region of overlap between two of them which precludes perfection in this case. If you click on the image, it will rotate, and you’ll be able to spot this overlap-region more easily.

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

Fifth Wheel

Image

Fifth Wheel