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词条 Small rhombidodecahedron
释义

  1. Related polyhedra

      Small rhombidodecacron 

  2. References

  3. External links

{{Uniform polyhedra db|Uniform polyhedron stat table|lrD}}

In geometry, the small rhombidodecahedron is a nonconvex uniform polyhedron, indexed as U39. Its vertex figure is a crossed quadrilateral.

Related polyhedra

It shares its vertex arrangement with the small stellated truncated dodecahedron and the uniform compounds of 6 or 12 pentagrammic prisms. It additionally shares its edge arrangement with the rhombicosidodecahedron (having the square faces in common), and with the small dodecicosidodecahedron (having the decagonal faces in common).


Rhombicosidodecahedron

Small dodecicosidodecahedron

Small rhombidodecahedron

Small stellated truncated dodecahedron

Compound of six pentagrammic prisms

Compound of twelve pentagrammic prisms
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Small rhombidodecacron

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

The small rhombidodecacron is a nonconvex isohedral polyhedron. It is the dual of the small rhombidodecahedron. It is visually identical to the Small dodecacronic hexecontahedron. It has 60 intersecting antiparallelogram faces.

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}}

External links

  • {{mathworld | urlname = SmallRhombidodecahedron| title = Small rhombidodecahedron}}
  • {{mathworld | urlname = SmallRhombidodecacron| title =Small rhombidodecacron}}
  • Uniform polyhedra and duals
{{Nonconvex polyhedron navigator}}{{Polyhedron-stub}}

1 : Uniform polyhedra

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