Great icosacronic hexecontahedron

In geometry, the great icosacronic hexecontahedron (or great sagittal trisicosahedron) is the dual of the great icosicosidodecahedron. Its faces are darts. A part of each dart lies inside the solid, hence is invisible in solid models.

Great icosacronic hexecontahedron
TypeStar polyhedron
Face
ElementsF = 60, E = 120
V = 52 (χ = 8)
Symmetry groupIh, [5,3], *532
Index referencesDU48
dual polyhedronGreat icosicosidodecahedron
3D model of a great icosacronic hexecontahedron

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

Weisstein, Eric W. "Great icosacronic hexecontahedron". MathWorld.

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