Jump to content

Great icosacronic hexecontahedron

From Wikipedia, the free encyclopedia
Great icosacronic hexecontahedron
Type Star polyhedron
Face
Elements F = 60, E = 120
V = 52 (χ = −8)
Symmetry group Ih, [5,3], *532
Index references DU48
dual polyhedron Great icosicosidodecahedron
3D model of a 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.

Proportions

[edit]

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

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

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