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

Author

Peter Kagey, May 19 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 tetrahedron is the polyhedral dual of the triakis tetrahedron.

Examples

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

Links

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

Crossrefs

Cf. A383825 (triakis tetrahedron).

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

Extensions

Offset corrected by Pontus von Brömssen, Jun 10 2025