Bowtie Cubes in a Polyhedral Honeycomb

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This polyhedron has been described here as a “bowtie cube.” It is possible to augment its six dodecagonal faces with additional bowtie cubes. Also, the bowtie cube’s hexagonal faces may be augmented by truncated octahedra.

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These two polyhedra “tessellate” space, together which square pyramidal bifrustrums, meeting in pairs, which fill the blue-and-green “holes” seen above. This last image shows more of the “honeycomb” produced after yet more of these same polyhedra have been added.

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This pattern may be expanded into space without limit. I discovered it while playing with Stella 4d, software you may try for free at this website.  

 

 

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