A384072 Number of connected components of n faces of the snub cube up to the 24 rotations of the snub cube.

1, 3, 3, 6, 16, 39, 101, 263, 694, 1839, 4884, 12840, 33508, 86227, 218284, 538796, 1284335, 2919365, 6249499, 12411396, 22483152, 36410533, 51641029, 62911551, 64827047, 55869657, 40009946, 23732630, 11668877, 4763611, 1619236, 456756, 106602, 20157, 3101, 358, 37, 3, 1

Offset: 0

Author

Peter Kagey, May 18 2025

Keywords

• nonn
• fini
• full

Comments

Two faces are connected if they share an edge.

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

The snub cube is the polyhedral dual of the pentagonal icositetrahedron.

Examples

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

Links

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

Crossrefs

Cf. A383808 (pentagonal icositetrahedron).

Cf. A309159 (snub square tiling), A383908 (snub trihexagonal tiling).

Cf. A384067 (cuboctahedron), A384068 (truncated cube), A384069 (truncated octahedron), A384070 (rhombicuboctahedron), A384071 (truncated cuboctahedron), A384072 (snub cube).

Extensions

a(13)-a(38) from Bert Dobbelaere, May 24 2025