A384104 Number of edge-connected components of n faces of the truncated tetrahedron up to the 24 rotations and reflections of the truncated tetrahedron.

1, 2, 2, 4, 7, 5, 4, 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 tetrahedron is the polyhedral dual of the triakis tetrahedron.

Links

Table of n, a(n) for n=0..8.

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

Wikipedia, Truncated tetrahedron

Example

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

Crossrefs

Cf. A383825 (triakis tetrahedron).

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

Sequence in context: A184761 A270227 A162251 * A244011 A065968 A105669

Adjacent sequences: A384101 A384102 A384103 * A384105 A384106 A384107

Keyword

nonn,fini,full

Author

Peter Kagey, May 19 2025

Extensions

Offset corrected by Pontus von Brömssen, Jun 10 2025

Status

approved