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

0,2

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.

Links

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

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

Wikipedia, Truncated cube

Example

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

Crossrefs

Cf. A383800 (triakis octahedron).

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

Sequence in context: A266007 A051890 A071109 * A005310 A248096 A002203

Adjacent sequences: A384065 A384066 A384067 * A384069 A384070 A384071

Keyword

nonn,fini,full

Author

Peter Kagey, May 18 2025

Status

approved