A383805 Number of polyforms with n cells on the faces of a deltoidal icositetrahedron up to rotation.

1, 1, 2, 6, 16, 41, 119, 321, 880, 2286, 5640, 12443, 23668, 36260, 43038, 38135, 25727, 13262, 5506, 1751, 468, 87, 16, 1, 1

Offset: 0

Author

Peter Kagey, May 10 2025

Keywords

• nonn
• fini
• full

Comments

These are "one-sided" polyforms.

The deltoidal icositetrahedron is the polyhedral dual of the rhombicuboctahedron.

Links

• Peter Kagey, Illustration of a(3)=6.
• Wikipedia, Deltoidal icositetrahedron

Crossrefs

Cf. A383804 (free).

Tetrahedral symmetry: A383826.

Octahedral symmetry: A383799 (row 3), A383801, A383803, A383805, A383807, A383808.

Icosahedral symmetry: A030137, A030138, A383491, A383493, A383495, A383497, A383498, A383786.