This polyhedron contains the twenty triangles and twelve pentagons of a rhombicosidodecahedron — but they are all smaller than those found in that solid. As a result, the thirty squares of the rhombicosidodecahedron have each become, instead, irregular octagons.
To try the software I use to generate these images, simply visit http://www.software3d.com/stella.php — where a free trial download is available.
Once I completed the polyhedral cluster seen in the last post, I became curious about its dual, which is what you see here. The overall shape here resembles an icosidodecahedron — the Archimedean solid which is, itself, the dual of the rhombic triacontahedron.
To try the software I use to generate these images, simply visit http://www.software3d.com/stella.php — where a free trial download is available.
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.
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