A384069 Number of connected components of n faces of the truncated octahedron up to the 48 rotations and reflections of the truncated octahedron.

1, 2, 2, 5, 12, 26, 52, 76, 83, 61, 39, 16, 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 octahedron is the polyhedral dual of the tetrakis hexahedron.

Examples

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

Links

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

Crossrefs

Cf. A383802 (tetrakis hexahedron).

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