Jump to content

Great dodecicosacron

From Wikipedia, the free encyclopedia
Great dodecicosacron
Type Star polyhedron
Face
Elements F = 60, E = 120
V = 32 (χ = −28)
Symmetry group Ih, [5,3], *532
Index references DU63
dual polyhedron Great dodecicosahedron
3D model of a great dodecicosacron

In geometry, the great dodecicosacron (or great dipteral trisicosahedron) is the dual of the great dodecicosahedron (U63). It has 60 intersecting bow-tie-shaped faces.

Proportions

[edit]

Each face has two angles of and two angles of . The diagonals of each antiparallelogram intersect at an angle of . The dihedral angle equals . The ratio between the lengths of the long edges and the short ones equals , which is the golden ratio. Part of each face lies inside the solid, hence is invisible in solid models.

References

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

Weisstein, Eric W. "Great dodecicosacron". MathWorld.