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Great stellapentakis dodecahedron

From Wikipedia, the free encyclopedia
Great stellapentakis dodecahedron
Type Star polyhedron
Face
Elements F = 60, E = 90
V = 32 (χ = 2)
Symmetry group Ih, [5,3], *532
Index references DU55
dual polyhedron Truncated great icosahedron
3D model of a great stellapentakis dodecahedron

In geometry, the great stellapentakis dodecahedron (or great astropentakis dodecahedron) is a nonconvex isohedral polyhedron. It is the dual of the truncated great icosahedron. It has 60 intersecting triangular faces.

Proportions

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The triangles have one angle of and two of . The dihedral angle equals . Part of each triangle lies within the solid, hence is invisible in solid models.

References

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  • Wenninger, Magnus (1983), Dual Models, Cambridge University Press, ISBN 978-0-521-54325-5, MR 0730208
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