Small stellapentakis dodecahedron explained

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(	1	+
	2

	1
	5

\sqrt{5}) ≈ 18.699407085149^\circ

and one obtuse angle of

\arccos(	1	-
	10

	2
	5

\sqrt{5}) ≈ 142.60118582970^\circ

. The dihedral angle equals

\arccos(	-24-5\sqrt{5

})\approx 149.099\,125\,827\,35^. Part of each triangle lies within the solid, hence is invisible in solid models.