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Small hexacronic icositetrahedron

From Wikipedia, the free encyclopedia
Small hexacronic icositetrahedron
Type Star polyhedron
Face
Elements F = 24, E = 48
V = 20 (χ = −4)
Symmetry group Oh, [4,3], *432
Index references DU13
dual polyhedron Small cubicuboctahedron
3D model of a small hexacronic icositetrahedron

In geometry, the small hexacronic icositetrahedron is the dual of the small cubicuboctahedron. It is visually identical to the small rhombihexacron. A part of each dart lies inside the solid, hence is invisible in solid models.

Proportions

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Its faces are darts, having 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 .

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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