Bridges 2012 Short Paper
Spelunking Adventure III: Close-Pack and Space-Fill Octahedral Domains
(Proceedings pages 525–526)
Twelve polyhedra with octahedral symmetry are modeled within a unit
radius circumsphere. These are used as blocks to populate two
matrices that share a 12-around-1 packing strategy: a close-pack
array of unit spheres and a rhombic dodecahedral space-fill. Each
polyhedron is modeled with a tree of virtual layers containing
geometric identifiers: points, point-clouds, vectors, surfaces, and
polysurfaces. With programmatic selection of layers a vast number
of constructed spaces can be visualized, printed and animated.
Visual examples are presented.