A384110 Number of connected components of n faces of the rhombicosidodecahedron up to the 120 rotations and reflections of the rhombicosidodecahedron.

1, 3, 2, 6, 13, 43, 125, 442, 1498, 5393, 19187, 69186, 248111, 888783, 3159624, 11137858, 38773614, 132891874, 446478045, 1463990116, 4662369227, 14350218212

Offset: 0

Author

Peter Kagey, May 20 2025

Keywords

• nonn
• fini
• more

Comments

Two faces are connected if they share an edge.

These are "free" polyforms because both rotations and reflections are allowed.

The rhombicosidodecahedron is the polyhedral dual of the deltoidal hexecontahedron.

Examples

			a(1) = 3 because the rhombicosidodecahedron is not face transitive, but has three distinct orbits of faces: (1) triangles, (2) squares, and (3) pentagons.
		

Links

• Peter Kagey, Illustration of a(1)-a(3).
• Wikipedia, Rhombicosidodecahedron.

Crossrefs

Cf. A384067 (cuboctahedron), A384068 (truncated cube), A384069 (truncated octahedron), A384070 (rhombicuboctahedron), A384071 (cuboctahedron), A384072 (snub cube), A384104 (truncated tetrahedron), A384107 (icosidodecahedron), A384108 (truncated dodecahedron), A384109 (truncated icosahedron), A384110 (rhombicosidodecahedron), A384111 (truncated icosidodecahedron), A384112 (snub dodecahedron).

Extensions

a(11)-a(21) from Bert Dobbelaere, May 26 2025