Small dodecicosacron
TypeStar polyhedron
Face
ElementsF = 60, E = 120
V = 32 (χ = 28)
Symmetry groupIh, [5,3], *532
Index referencesDU50
dual polyhedronSmall dodecicosahedron
3D model of a small dodecicosacron

In geometry, the small dodecicosacron (or small dipteral trisicosahedron) is the dual of the small dodecicosahedron (U50). It is visually identical to the Small ditrigonal dodecacronic hexecontahedron. 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

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

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