A038172 Number of "connected animals" formed from n rhombic dodecahedra (or edge-connected cubes) in the face-centered cubic lattice, allowing translation and rotations of the lattice.

1, 1, 5, 28, 225, 2274, 24955, 286143, 3367443, 40358811, 490598186

Offset: 1

Author

Achim Flammenkamp

Keywords

• nonn
• hard
• more

Links

• S. T. Coffin, Puzzling World of Polyhedral Dissections, Oxford Univ. Press, 1991.
• G. L. Sicherman, Catalogue of Polyrhons
• T. Sillke, Notations for polyspheres
• Index entries for sequences related to f.c.c. lattice

Crossrefs

Cf. A000162, A038119, A038168-A038174.

Extensions

This extends earlier work of Torsten Sillke (TORSTEN.SILLKE(AT)LHSYSTEMS.COM). Added the 10th term.

a(11) from Joerg Arndt and Márk Péter Légrádi, Apr 30 2023