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Great ditrigonal dodecacronic hexecontahedron

Polyhedron with 60 faces From Wikipedia, the free encyclopedia

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

Great ditrigonal dodecacronic hexecontahedron
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TypeStar polyhedron
FaceThumb
ElementsF = 60, E = 120
V = 44 (χ = 16)
Symmetry groupIh, [5,3], *532
Index referencesDU42
dual polyhedronGreat ditrigonal dodecicosidodecahedron
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3D model of a great ditrigonal dodecacronic hexecontahedron
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Proportions

Kite faces have two angles of , one of and one of . Its dihedral angles equal . The ratio between the lengths of the long edges and the short ones equals .

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References

  • Wenninger, Magnus (1983), Dual Models, Cambridge University Press, ISBN 978-0-521-54325-5, MR 0730208 p. 62
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