Medial disdyakis triacontahedron

Template:Short description Template:Uniform polyhedra db File:Medial disdyakis triacontahedron.stl 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.

Proportions

The triangles have one angle of $\arccos (-\frac{1}{10})\approx 95.73917047727^{\circ }$, one of $\arccos (\frac{3}{8}+\frac{11}{40}\sqrt{5})\approx 8.14257117989^{\circ }$ and one of $\arccos (-\frac{3}{8}+\frac{11}{40}\sqrt{5})\approx 76.11825834285^{\circ }$. The dihedral angle equals $\arccos (-\frac{9}{11})\approx 144.90319877242^{\circ }$. Part of each triangle lies within the solid, hence is invisible in solid models.

References

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External links

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