A383807 Number of polyforms with n cells on the faces of a disdyakis dodecahedron up to rotation.

1, 2, 3, 6, 13, 28, 66, 148, 348, 812, 1921, 4524, 10708, 25178, 59211, 138578, 323063, 747758, 1716982, 3896986, 8715931, 19121954, 40976038, 85326888, 171723106, 331830856, 611054918, 1062626406, 1726666853, 2589026208, 3530928400, 4306815278, 4608896060, 4238344482

Offset: 0

Author

Peter Kagey, May 10 2025

Keywords

• nonn
• fini
• full

Comments

These are "one-sided" 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, Illustration of a(3)=6.
• Wikipedia, Disdyakis dodecahedron

Crossrefs

Cf. A383806 (free).

Tetrahedral symmetry: A383826.

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

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

Extensions

Corrected a(1) and more terms from Bert Dobbelaere, Jun 08 2025