Small rhombidodecacron explained

In geometry, the small rhombidodecacron is a nonconvex isohedral polyhedron. It is the dual of the small rhombidodecahedron. It is visually identical to the Small dodecacronic hexecontahedron. It has 60 intersecting antiparallelogram faces.

Proportions

Each face has two angles of

\arccos(	5	+
	8

	1
	8

\sqrt{5}) ≈ 25.24283296152^\circ

and two angles of

\arccos(-	1	+
	2

	1
	5

\sqrt{5}) ≈ 93.02584450896^\circ

. The diagonals of each antiparallelogram intersect at an angle of

\arccos(	1	+
	4

	1
	10

\sqrt{5}) ≈ 61.73132252952^\circ

. The ratio between the lengths of the long edges and the short ones equals

	1	+
	2

	1
	2

\sqrt{5}

, which is the golden ratio. The dihedral angle equals

\arccos(	-19-8\sqrt{5

})\approx 154.121\,363\,125\,78^.