Hexakisoctahedron

The second is a hemihedral combination of which no corresponding homohedral variety has been discovered, and no hemihexakisoctahedrons have been found to correspond with the rest of the known hexakisoctahedrons, § 408.

The plagihedral hemihedral forms of the cubis system are, with the exception of those derivable from hexakisoctahedra, undistinguishable from the holohedral forms.

The plane (1 2 3), which is an example of the most general crystal plane in the cubic system because its hkl indices are all different, lies between (1 1 2) and (0 1 1) planes; the 48 planes of the {1 2 3} form make up a hexakisoctahedron.

A crystalline spectrum maps the æsthetic value of all stylistic paragons – from isometric order in classicism to triclinic disorder in modernism: the hexakisoctahedron being most symmetric of all the crystal habits, its thirteen rotary axes & nine reflexive planes, for its four dozen facets, rigidest rhyme scheme – an ideal form driving insane every scientific monk who inhabits its polyhedral cathedrals, almost every organism a bilateral construction divided against itself, almost every organism a bilateral construction divided against itself, almost every particle a planet spinning two times for every sunset.