A384068 Number of connected components of n faces of the truncated cube up to the 48 rotations and reflections of the truncated cube.

1, 2, 2, 6, 14, 28, 49, 64, 68, 53, 35, 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 truncated cube is the polyhedral dual of the triakis octahedron.

Examples

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

Links

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

Crossrefs

Cf. A383800 (triakis octahedron).

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