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Small ditrigonal dodecacronic hexecontahedron

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Small ditrigonal dodecacronic hexecontahedron
Type Star polyhedron
Face
Elements F = 60, E = 120
V = 44 (χ = −16)
Symmetry group Ih, [5,3], *532
Index references DU43
dual polyhedron Small ditrigonal dodecicosidodecahedron
3D model of a small ditrigonal dodecacronic hexecontahedron

In geometry, the small ditrigonal dodecacronic hexecontahedron (or fat star) is a nonconvex isohedral polyhedron. It is the dual of the uniform small ditrigonal dodecicosidodecahedron. It is visually identical to the small dodecicosacron. Its faces are darts. A part of each dart lies inside the solid, hence is invisible in solid models.

Proportions

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Faces have two angles of , one of and one of . Its dihedral angles equal . The ratio between the lengths of the long and short edges is .

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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