Space-Filling Truncated Octahedra in a Rhombic Dodecahedral Cluster

The truncated octahedron is well-known as the only Archimedean solid which can fill space, by itself, without leaving any gaps. The cluster below shows this, and has the overall shape of a rhombic dodecahedron.

Augmented Trunc Octa.gif

It’s easier to see the rhombic dodecahedral shape of this cluster when looking at its convex hull:

Convex hull.gif

Both images here were made using Stella 4d, which you can try for free right here.

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