The Fully Augmented Rhombic Triacontahedron


Augmented Rhombic Triaconta
In the last post, I showed you a cluster of rhombic triacontahedra (RTCs) which took a long time to build, for I had to carefully choose which faces to augment (attach) with new RTCs.

This one, by contrast, was very fast. I simply took one RTC, and augmented all thirty faces with RTCs. Unlike the RTCs in the last post, these intersect — the primary reason its appearance is so different.

In this polyhedron, many familiar polyhedra are defined. The yellow rhombi, for example, are found at the vertices of an icosidodecahedron. The blue “holes” have their centers at the vertices of an icosahedron, and the pink areas’ centers are at the vertices of a dodecahedron.

If you follow this blog closely, you have noticed that I always include this link ( any time I post images made with the program I use for creating these. It’s called Stella 4d:  Polyhedron Navigator. With it, you can create things of beauty, combining simplicity and complexity, which no one has ever seen before. A friend of mine on the other side of the planet wrote it, and I always include this link, where people can try or buy this software, as a way to thank him for doing so. For investigations of polyhedra, I know of no better tool.