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Small stellapentakis dodecahedron

From Wikipedia, the free encyclopedia
Small stellapentakis dodecahedron
Type Star polyhedron
Face
Elements F = 60, E = 90
V = 24 (χ = −6)
Symmetry group Ih, [5,3], *532
Index references DU37
dual polyhedron Truncated great dodecahedron

In geometry, the small stellapentakis dodecahedron is a nonconvex isohedral polyhedron. It is the dual of the truncated great dodecahedron. It has 60 intersecting triangular faces.

Proportions

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The triangles have two acute angles of and one obtuse angle 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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