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词条 Snub rhombicuboctahedron
释义

  1. Related polyhedra

  2. See also

  3. References

  4. External links

Snub rhombicuboctahedron
Schläfli symbolsrr{4,3} =
Conway notation[https://levskaya.github.io/polyhedronisme/?recipe=A10saC saC]
Faces74:
8+48 {3}
6+12 {4}
Edges120
Vertices48
Symmetry groupO, [4,3]+, (432) order 24
Dual polyhedronPentagonal tetracontoctahedron
Propertiesconvex, chiral

The snub rhombicuboctahedron is a polyhedron, constructed as a truncated rhombicuboctahedron. It has 74 faces: 18 squares, and 56 triangles. It can also be called the Conway snub cuboctahedron in but will be confused with the Coxeter snub cuboctahedron, the snub cube.

Related polyhedra

The snub rhombicuboctahedron can be seen in sequence of operations from the cuboctahedron.

NameCubocta-
hedron
Truncated
cubocta-
hedron
Snub
cubocta-
hedron
Truncated
rhombi-
cubocta-
hedron
Snub
rhombi-
cubocta-
hedron
CoxeterCO (rC)tCO (trC)sCO (srC)trCO (trrC)srCO (htrrC)
ConwayaCtaC = bCsCtaaC = baCsaC
Image
ConwayjCmCgCmaCgaC
Dual

See also

  • Expanded cuboctahedron
  • Truncated rhombicosidodecahedron

References

  • John H. Conway, Heidi Burgiel, Chaim Goodman-Strauss, The Symmetries of Things 2008, {{ISBN|978-1-56881-220-5}}

External links

  • George Hart's Conway interpreter: generates polyhedra in VRML, taking Conway notation as input

1 : Polyhedra

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