Great dodecicosacron

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Great dodecicosacron
DU63 great dodecicosacron.png
Type Star polyhedron
Face DU63 facets.png
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[]

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[]

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

External links[]

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

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