A383804 Number of polyforms with n cells on the faces of a deltoidal icositetrahedron up to rotation and reflection.

1, 1, 2, 4, 10, 23, 65, 166, 453, 1157, 2849, 6252, 11894, 18183, 21614, 19139, 12966, 6691, 2813, 901, 253, 49, 11, 1, 1

Offset: 0

Author

Peter Kagey, May 10 2025

Keywords

• nonn
• fini
• full

Comments

These are "free" polyforms.

The deltoidal icositetrahedron is the polyhedral dual of the rhombicuboctahedron.

Links

• Peter Kagey, Illustration of a(5)=23.
• Wikipedia, Deltoidal icositetrahedron

Crossrefs

Cf. A383805 (one-sided).

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

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