Small stellapentakis dodecahedron

Template:Short description Template:Uniform polyhedra db In geometry, the small stellapentakis dodecahedron is a nonconvex isohedral polyhedron. It is the dual of the truncated great dodecahedron. It has 60 intersecting triangular faces.

Proportions

The triangles have two acute angles of $\arccos (\frac{1}{2}+\frac{1}{5}\sqrt{5})\approx 18.699407085149^{\circ }$ and one obtuse angle of $\arccos (\frac{1}{10}-\frac{2}{5}\sqrt{5})\approx 142.60118582970^{\circ }$. The dihedral angle equals $\arccos (\frac{-24-5\sqrt{5}}{41})\approx 149.09912582735^{\circ }$. Part of each triangle lies within the solid, hence is invisible in solid models.

References

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External links

• Template:Mathworld
• Uniform polyhedra and duals

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