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Rhombic hectotriadiohedron
Type T and Type C
Type	zonohedron
Face polygon	rhombus
Faces	132 rhombi
Edges	264
Vertices	134
Symmetry group	Oh, , *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.

See also

• Trigonal trapezohedron - 6 rhombi
• Rhombic dodecahedron - 12 rhombi
• Rhombic icosahedron - 20 rhombi
• Rhombic triacontahedron - 30 rhombi
• Rhombic hexecontahedron - 60 rhombi
• Rhombic enneacontahedron - 90 rhombi

References

1. Y. Watanabe; T. Betsumiya, Derivation of Some Equilateral Zonohedra and Star Zonohedra (PDF), Research of pattern formation, archived from the original (PDF) on 2016-11-25
2. "Zonohedrification".
3. "Zonohedra --- List".

• George Hart
  • zono-12 from rhombicubocahedron VRML model
  • zono-12 from truncated cube VRML model
• Rhombic Polyhedron with 132 Faces
• rhombic 132-hedron within a cube

• Zonohedra