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.
Original entry on oeis.org
1, 1, 4, 25, 210, 2209, 24651, 284768, 3360995, 40328652, 490455189
Offset: 1
A038169
Number of "connected animals" formed from n triakis truncated tetrahedra connected along hexagonal faces in the triakis truncated tetrahedral honeycomb, allowing translations, rotations, and reflections of the honeycomb.
Original entry on oeis.org
1, 1, 1, 3, 7, 24, 88, 385, 1713, 8112, 38869, 190128, 938357
Offset: 1
- A. T. Balaban and Paul von R. Schleyer, "Graph theoretical enumeration of polymantanes", Tetrahedron, (1978), vol. 34, pp. 3599-3609. See Page 3605.
A384756
Triangle read by rows: T(n,k) is the number of face-connected components of polyhedra with k prisms and n-k truncated cuboctahedra in the omnitruncated cubic honeycomb up to translation and rotation, 0 <= k <= n.
Original entry on oeis.org
1, 1, 1, 1, 2, 1, 3, 8, 11, 2, 14, 60, 118, 63, 5, 88, 575, 1457, 1372, 368, 16, 686, 5741, 18261, 24831, 13581, 2124, 59, 5966, 59088, 225424, 403494, 339880, 117447, 12201, 250, 54722, 616110, 2745525, 6084433, 6987036, 3927441, 926001, 69445, 1136
Offset: 0
| 0 1 2 3 4 5 6
--+------------------------------------------
0 | 1;
1 | 1, 1;
2 | 1, 2, 1;
3 | 3, 8, 11, 2;
4 | 14, 60, 118, 63, 5;
5 | 88, 575, 1457, 1372, 368, 16;
6 | 686, 5741, 18261, 24831, 13581, 2124, 59;
Cf.
A384755 (rotation and reflection).
Showing 1-3 of 3 results.
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