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Small ditrigonal dodecacronic hexecontahedron

Polyhedron with 60 faces From Wikipedia, the free encyclopedia

Small ditrigonal dodecacronic hexecontahedron
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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.

Small ditrigonal dodecacronic hexecontahedron
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TypeStar polyhedron
FaceThumb
ElementsF = 60, E = 120
V = 44 (χ = 16)
Symmetry groupIh, [5,3], *532
Index referencesDU43
dual polyhedronSmall ditrigonal dodecicosidodecahedron
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3D model of a small ditrigonal dodecacronic hexecontahedron
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Proportions

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

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