Great rhombic triacontahedron

Great rhombic triacontahedron
TypeStar polyhedron
Face
ElementsF = 30, E = 60
V = 32 (χ = 2)
Symmetry groupIh, [5,3], *532
Index referencesDU54
dual polyhedronGreat icosidodecahedron

In geometry, the great rhombic triacontahedron is a nonconvex isohedral, isotoxal polyhedron. It is the dual of the great icosidodecahedron (U54). It has 30 intersecting rhombic faces.

The great rhombic triacontahedron can be constructed by expanding the size of the faces of a rhombic triacontahedron by a factor of , where is the golden ratio.

References

  • Wenninger, Magnus (1983), Dual Models, Cambridge University Press, ISBN 978-0-521-54325-5, MR 0730208
  • Weisstein, Eric W. "Great rhombic triacontahedron". MathWorld.
  • Uniform polyhedra and duals


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