Rhombic hectotriadiohedron
Type T and Type C
Type
Face polygon
Faces
132 rhombi
Edges
264
Vertices
134
Oh, [4,3], *432
Properties
convex, zonohedron
Ingeometry, a rhombic hectotriadiohedron, rhombhectotriadiohedronorrhombic 132-hedron is a polyhedron composed of 132 rhombic faces. Rhombic faces have 5 positions within octahedral symmetry. There are two topological types, with the same number of elements, the same symmetry, but having a somewhat different arrangement of rhombic faces.[1]
The type T has 8 rhombi meeting at the center positions of a cube's 6 faces. 3 meet at the 8 corners of a cube. 12 are positioned along the 12 edges of a cube, and 4 more surround each of 12 edges of a cube. It is a 12-zone zonohedrification[2] of the rhombicuboctahedron.[3]
Type C is a 12-zone zonohedrification of a truncated cube.
Listed by number of faces and type
1–10 faces
11–20 faces
>20 faces
elemental things
convex polyhedron
non-convex polyhedron
