A383808 Number of polyforms with n cells on the faces of a pentagonal icositetrahedron up to rotation.

1, 1, 3, 8, 25, 72, 234, 701, 2119, 5872, 14772, 31331, 53512, 68794, 66816, 49714, 29706, 14235, 5679, 1770, 469, 87, 16, 1, 1

Offset: 0

Author

Peter Kagey, May 11 2025

Keywords

• nonn
• full
• fini

Comments

These are "one-sided" polyforms.

The pentagonal icositetrahedron is the polyhedral dual of the snub cube.

Links

• Peter Kagey, Illustration of a(4)=25.
• Wikipedia, Pentagonal icositetrahedron

Crossrefs

Tetrahedral symmetry: A383826.

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

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

Cf. A197159 (floret pentagonal).