A384112 Number of connected components of n faces of the snub dodecahedron up to the 60 rotations of the snub dodecahedron.

1, 3, 3, 6, 19, 51, 157, 465, 1444, 4492, 14236, 45097, 143753, 458400, 1464997, 4682469, 14970906, 47834908, 152721958, 486927066, 1549733096, 4920704208, 15579074400

Offset: 0

Author

Peter Kagey, May 20 2025

Keywords

• nonn
• fini
• more

Comments

Two faces are connected if they share an edge.

These are "one-sided" polyforms because rotations are allowed but reflections are not allowed.

The snub dodecahedron is the polyhedral dual of the pentagonal hexecontahedron.

Examples

			a(1) = 3 because the snub dodecahedron is not face transitive, but has three distinct orbits of faces: (1) pentagons, (2) triangles that are connected to a pentagon, and (3) triangles that are not connected to a pentagon.
		

Links

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

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(12)-a(22) from Bert Dobbelaere, May 26 2025