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词条 Rhombic hectotriadiohedron
释义

  1. See also

  2. References

Rhombic hectotriadiohedron

Type T and Type C
Typezonohedron
Face polygonrhombus
Faces132 rhombi
Edges264
Vertices134
Symmetry groupOh, [4,3], *432
Propertiesconvex, 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.[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.

See also

  • Trigonal trapezohedron - 6 rhombi
  • Rhombic dodecahedron - 12 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, Research of pattern formation
2. ^http://www.georgehart.com/virtual-polyhedra/zonohedrification.html
3. ^http://www.georgehart.com/virtual-polyhedra/zonohedra-index.html
  • George Hart
    • zono-12 from rhombicubocahedron VRML model
    • zono-12 from truncated cube VRML model
  • Rhombic Polyhedron with 132 Faces
  • [https://translate.google.com/translate?hl=en&sl=auto&tl=en&u=https%3A%2F%2Fgeometryka.wordpress.com%2F2016%2F11%2F23%2Fkubus-rhombendodekaeder%2F rhombic 132-hedron within a cube]
{{Polyhedra}}

1 : Zonohedra

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