Dodecahedron and Bilunabirotunda

Pentagonal dodecahedra can be arranged in a cubic lattice connected edge to edge. The spaces between the dodecahedra can be filled with cubes and bilunabirotundas (Johnson Solid J91) arranged in the three coordinate directions. This means that one pentagonal dodecahedron, one cube and three bilunabirotundas joined together form a space-filling object.



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