Great hexacronic icositetrahedron
TypeStar polyhedron
Face
ElementsF = 24, E = 48
V = 20 (χ = 4)
Symmetry groupOh, [4,3], *432
Index referencesDU14
dual polyhedronGreat 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

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

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


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