A383908
Number of generalized polyforms with n cells on the snub trihexagonal tiling.
Original entry on oeis.org
1, 3, 3, 7, 23, 69, 228, 766, 2642, 9309, 33382, 120629, 439752, 1613135, 5953061, 22075011, 82204128, 307213215, 1151820825, 4330858682, 16326297768, 61690058385
Offset: 0
For n=1, the a(1) = 3 generalized polyforms are the three types of faces: hexagons, hexagon-adjacent triangles, and hexagon-nonadjacent triangles.
For n=2, the a(2) = 3 generalized polyforms are
(1) a hexagon with a hexagon-adjacent triangle,
(2) a hexagon-adjacent triangle with a hexagon-nonadjacent triangle, and
(3) two hexagon-adjacent triangles.
Analogous for other tilings:
A000105 (square),
A000228 (hexagonal),
A000577 (triangular),
A197156 (prismatic pentagonal),
A197159 (floret pentagonal),
A197459 (rhombille),
A197462 (kisrhombille),
A197465 (tetrakis square),
A309159 (snub square),
A343398 (trihexagonal),
A343406 (truncated hexagonal),
A343577 (truncated square),
A344211 (rhombitrihexagonal),
A344213 (truncated trihexagonal).
A385265
Number of edge-connected components of polygonal cells in the pinwheel tiling up to rotation of the tiling.
Original entry on oeis.org
1, 2, 4, 13, 53, 209, 904, 3963, 17900, 81745, 378554, 1768236, 8327789, 39471091, 188145066, 901117082, 4334151970, 20923370406, 101341800704, 492289834345
Offset: 0
A000105 (square),
A000228 (hexagonal),
A000577 (triangular),
A197156 (prismatic pentagonal),
A197159 (floret pentagonal),
A197459 (rhombille),
A197462 (kisrhombille),
A197465 (tetrakis square),
A309159 (snub square),
A343398 (trihexagonal),
A343406 (truncated hexagonal),
A343577 (truncated square),
A344211 (rhombitrihexagonal),
A344213 (truncated trihexagonal),
A383908 (snub trihexagonal),
A385266 (basketweave).
A385266
Number of edge-connected components of polygonal cells in the basketweave tiling up to rotation and reflection of the tiling.
Original entry on oeis.org
1, 2, 2, 10, 34, 166, 777, 4053, 21225, 114594, 624242, 3442399, 19121661, 106964679, 601639326, 3400619170, 19301719485, 109962791254
Offset: 0
A000105 (square),
A000228 (hexagonal),
A000577 (triangular),
A197156 (prismatic pentagonal),
A197159 (floret pentagonal),
A197459 (rhombille),
A197462 (kisrhombille),
A197465 (tetrakis square),
A309159 (snub square),
A343398 (trihexagonal),
A343406 (truncated hexagonal),
A343577 (truncated square),
A344211 (rhombitrihexagonal),
A344213 (truncated trihexagonal),
A383908 (snub trihexagonal),
A385265 (pinwheel).
Showing 1-3 of 3 results.
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