A385265 Number of edge-connected components of polygonal cells in the pinwheel tiling up to rotation of the tiling.

1, 2, 4, 13, 53, 209, 904, 3963, 17900, 81745, 378554, 1768236, 8327789, 39471091, 188145066, 901117082, 4334151970, 20923370406, 101341800704, 492289834345

Offset

0,2

Comments

These are "one-sided" polyforms because there are no reflectional symmetries of the pinwheel tiling.

Here the "pinwheel tiling" is a tiling consisting of rectangular and square cells, and does not refer to non-periodic triangular tilings.

Links

Table of n, a(n) for n=0..19.

Peter Kagey, Illustration of the pinwheel tiling.

Peter Kagey, Illustration of the a(4)=53 polyforms with 4 cells.

Crossrefs

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).

Sequence in context: A030863 A030800 A291341 * A129091 A030970 A030842

Adjacent sequences: A385262 A385263 A385264 * A385266 A385267 A385268

Keyword

nonn,more,hard

Author

Peter Kagey and Bert Dobbelaere, Jun 23 2025

Status

approved