A384067 Number of edge-connected components of n faces of the cuboctahedron up to the 48 rotations and reflections of the cuboctahedron.

1, 2, 1, 3, 5, 11, 19, 36, 50, 48, 34, 15, 7, 2, 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 "free" polyforms because both rotations and reflections are allowed.

The cuboctahedron is the polyhedral dual of the rhombic dodecahedron.

Examples

			a(1) = 2 because the cuboctahedron is not face-transitive, but has two distinct types of faces: triangular faces and square faces.
		

Links

• Peter Kagey, Illustration of a(2)-a(4).
• Wikipedia, Cuboctahedron

Crossrefs

Cf. A333333 (rhombic dodecahedron, row 3).

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