Here are shown polar zonohedra with 12 directions, featuring some partial dissections and arrays, all with symmetry about the polar axis. The version of 132-hedron shown here has square faces, colored yellow, green faces that are Arc cos 1/3 = 70.528…° rhombi, purple faces that are Arc cos 2/3 = 48.189…° rhombi. White faces are less familiar angles. In the Scenes dropdown menu are some ways that polyhedra can be inscribed within the major cell.

12 Directions Polar Zonohedron

Arrays of polar 132-hedron cells can be composed with spaces between major cells occupied with subcells that bridge between major cells, and are all made with edges that are unit lengths parallel with some of the 12 coordinate directions. Here is an array partially filled out.

Type 1 Array

Two types of such arrays can be viewed here.Type 1 and Type 2 In Type 1, the rings of major cells surrounding the axis are connected to adjacent cells by shared faces. In Type 2, theses connections are by shared vertices.

This is a continuation of a series of posts including This