Medial disdyakis triacontahedron

Medial disdyakis triacontahedron
Type Star polyhedron
Face
Elements F = 120, E = 180
V = 54 (χ = −6)
Symmetry group Ih, [5,3], *532
Index references DU59
dual polyhedron Truncated dodecadodecahedron

In geometry, the medial disdyakis triacontahedron is a nonconvex isohedral polyhedron. It is the dual of the uniform truncated dodecadodecahedron. It has 120 triangular faces.

3D model of a medial disdyakis triacontahedron

Proportions

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The triangles have one angle of  , one of   and one of  . The dihedral angle equals  . Part of each triangle lies within the solid, hence is invisible in solid models.

References

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