A383806 Number of polyforms with n cells on the faces of a disdyakis dodecahedron up to rotation and reflection.

1, 1, 3, 3, 9, 14, 38, 74, 184, 406, 981, 2262, 5398, 12589, 29700, 69289, 161727, 373879, 858884, 1948493, 4358729, 9560977, 20489431, 42663444, 85863997, 165915428, 305531365, 531313203, 863339197, 1294513104, 1765472012, 2153407639, 2304457468, 2119172241, 1641722694

Offset: 0

Author

Peter Kagey, May 10 2025

Keywords

• nonn
• fini
• full

Comments

These are "free" polyforms.

The disdyakis dodecahedron is the polyhedral dual of the truncated cuboctahedron.

Links

• Bert Dobbelaere, Table of n, a(n) for n = 0..48
• Peter Kagey, Example of a(4)=9.
• Wikipedia, Disdyakis dodecahedron

Crossrefs

Cf. A383807 (one-sided).

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

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

Extensions

More terms from Bert Dobbelaere, Jun 08 2025