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词条 Great rhombihexacron
释义

  1. Notes

  2. References

{{Uniform polyhedra db|Uniform dual polyhedron stat table|grH}}

In geometry, the great rhombihexacron is a nonconvex isohedral polyhedron. It is the dual of the uniform great rhombihexahedron (U21).[1] It has 24 identical bow-tie-shaped faces, 18 vertices, and 48 edges.[2]

It has 12 outer vertices which have the same vertex arrangement as the cuboctahedron, and 6 inner vertices with the vertex arrangement of an octahedron.

As a surface geometry, it can be seen as visually similar to a Catalan solid, the disdyakis dodecahedron, with much taller rhombus-based pyramids joined to each face of a rhombic dodecahedron.

Notes

1. ^{{mathworld|urlname= GreatRhombihexacron|title= Great rhombihexacron}}
2. ^Great Rhombihexacron—Bulatov Abstract Creations

References

  • {{Citation | last1=Wenninger | first1=Magnus | author1-link=Magnus Wenninger | title=Dual Models | publisher=Cambridge University Press | isbn=978-0-521-54325-5 | mr= 730208| year=1983}}
  • uniform polyhedra and duals

1 : Dual uniform polyhedra

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