A038174 Number of "polyspheres", or "connected animals" formed from n rhombic dodecahedra (or edge-connected cubes) in the f.c.c. lattice, allowing translation and rotations of the lattice, reflections and 180 deg. rotations about a 3-fold symmetry axis of the lattice.

1, 1, 4, 25, 210, 2209, 24651, 284768, 3360995, 40328652, 490455189

Offset: 1

Author

Achim Flammenkamp, Torsten Sillke (TORSTEN.SILLKE(AT)LHSYSTEMS.COM)

Keywords

• nonn
• more

Links

• S. T. Coffin, Puzzling World of Polyhedral Dissections, Oxford Univ. Press, 1991.
• Ishino Keiichiro, Polysphere, Puzzle will be played, 2008.
• T. Sillke, Notations for polyspheres
• Index entries for sequences related to f.c.c. lattice

Crossrefs

Cf. A000162, A038119, A038168, A038169, A038170, A038171, A038172, A038173.

Extensions

a(9) and a(10) from Achim Flammenkamp Feb 15 1999

a(11) from Ishino Keiichiro's website added by Andrey Zabolotskiy, Mar 03 2023