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

0,2

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.

Links

Table of n, a(n) for n=0..14.

Peter Kagey, Illustration of a(1)-a(3).

Wikipedia, Truncated octahedron

Example

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

Crossrefs

Cf. A383802 (tetrakis hexahedron).

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

Sequence in context: A143195 A192799 A181354 * A085289 A095339 A216025

Adjacent sequences: A384066 A384067 A384068 * A384070 A384071 A384072

Keyword

nonn,fini,full

Author

Peter Kagey, May 18 2025

Status

approved