Great stellapentakis dodecahedron explained

In geometry, the great stellapentakis dodecahedron (or great astropentakis dodecahedron) is a nonconvex isohedral polyhedron. It is the dual of the truncated great icosahedron. It has 60 intersecting triangular faces.

Proportions

The triangles have one angle of

\arccos(-	7	-
	36

	1
	4

\sqrt{5}) ≈ 138.89111468659^\circ

and two of

\arccos(	3	+
	4

	1
	12

\sqrt{5}) ≈ 20.55444265671^\circ

. The dihedral angle equals

\arccos(	-80+9\sqrt{5

})\approx 123.320\,065\,258\,47^. Part of each triangle lies within the solid, hence is invisible in solid models.

External links

- Uniform polyhedra and duals