Small icosacronic hexecontahedron
TypeStar polyhedron
Face
ElementsF = 60, E = 120
V = 52 (χ = 8)
Symmetry groupIh, [5,3], *532
Index referencesDU31
dual polyhedronSmall icosicosidodecahedron
3D model of a small icosacronic hexecontahedron

In geometry, the small icosacronic hexecontahedron (or small lanceal trisicosahedron) is a nonconvex isohedral polyhedron. It is the dual of the uniform small icosicosidodecahedron. Its faces are kites. Part of each kite lies inside the solid, hence is invisible in solid models.

Proportions

The kites have two angles of , one of and one of . The dihedral angle equals . The ratio between the lengths of the long and short edges is .

References

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