title: Rhombic hectotriadiohedron
text: # Rhombic hectotriadiohedron
  
  Rhombic hectotriadiohedron :
  
  | Type T and Type C ||
  | - | - |
  | Type | zonohedron |
  | Face polygon | rhombus |
  | Faces | 132 rhombi |
  | Edges | 264 |
  | Vertices | 134 |
  | Symmetry group | $O_h,$ [4,3], *432 |
  | Properties | convex, zonohedron |
  
  In geometry, a rhombic hectotriadiohedron, rhombhectotriadiohedron or rhombic 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.
  
  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 of the rhombicuboctahedron.
  
  Type C is a 12-zone zonohedrification of a truncated cube.
  
  