A383825 Number of polyforms with n cells on the faces of a triakis tetrahedron up to rotation and reflection.

1, 1, 2, 2, 4, 4, 9, 9, 14, 10, 5, 1, 1

Offset: 0

Author

Peter Kagey, May 11 2025

Keywords

• nonn
• fini
• full

Comments

These are "free" polyforms.

The triakis tetrahedron is the polyhedral dual of the truncated tetrahedron.

Links

• Peter Kagey, Illustration of a(0)-a(4).
• Wikipedia, Triakis tetrahedron

Crossrefs

Cf. A383826 (one-sided).

Octahedral symmetry: A333333 (row 3), A383800, A383802, A383804, A383806.

Icosahedral symmetry: A030135, A030136, A340635, A383490, A383492, A383494, A383496.