Pentakis Dodecahedron Sphere

I've been looking for quite a long time for a method to produce a big, hollow sphere with a small printing volume. There are several different methods to achieve this (geodesic domes, Fibonacci sphere), but most of them will produce too many pieces of different shape and size.

The pentakis dodecahedron is a catalan solid with 60 equal faces, a mix between a icosahedron and a dodecahedron.

Five or six faces come together at the vertices and are linked with rings. It needs a total of 180 screws and nuts. For smaller spheres they are not really necessary, as the rings fit quite well.

Pictured are two sizes with 30cm / 10cm outer radius and 27cm / 8cm inner radius,weighing 6kg / 750g without screws. The big sphere uses conical screws, the small one uses cylindrical screws.

See: https://en.wikipedia.org/wiki/Pentakis_dodecahedron

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**Pieces:**

60 x faces, printed
12 x 5er rings, printed
20 x 6er rings, printed
180 x M5 10mm countersunk screws, bought
180 x M5