Great hexacronic icositetrahedron

Great hexacronic icositetrahedron
Type Star polyhedron
Face
Elements F = 24, E = 48
V = 20 (χ = −4)
Symmetry group Oh, [4,3], *432
Index references DU14
dual polyhedron Great cubicuboctahedron

In geometry, the great hexacronic icositetrahedron is the dual of the great cubicuboctahedron. Its faces are kites. Part of each kite lies inside the solid, hence is invisible in solid models.

Proportions

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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

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