Medial deltoidal hexecontahedron

In geometry, the medial deltoidal hexecontahedron is a nonconvex isohedral polyhedron. It is the dual of the rhombidodecadodecahedron. Its 60 intersecting quadrilateral faces are kites.

Medial deltoidal hexecontahedron
TypeStar polyhedron
Face
ElementsF = 60, E = 120
V = 54 (χ = 6)
Symmetry groupIh, [5,3], *532
Index referencesDU38
dual polyhedronRhombidodecadodecahedron
3D model of a medial deltoidal hexecontahedron

Proportions

The kites have two angles of , one of and one of . The dihedral angle equals . The ratio between the lengths of the long and short edges is . Part of each kite 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


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