A384679 Number of edge-connected components on the faces of a tetrakis square tiling where the degree-8 vertices have been truncated, up to translation, rotation and reflection of the tiling.

1, 2, 3, 10, 30, 123, 500, 2240, 10153, 47341, 223015, 1063340, 5108118, 24710991, 120202087, 587570923, 2884199700, 14210246496, 70242677688

Offset: 0

Author

Peter Kagey, Jun 06 2025

Keywords

• nonn
• more

Comments

There are two types of tiles: those that come from truncating the degree-8 vertices, and those that are a subset of the triangular tiles in the tetrakis square tiling.

Links

• Sven Geier, Driveway in Highland Park, CA.
• Peter Kagey, Illustration of a(4) = 30.

Crossrefs

Cf. A197465 (tetrakis square tiling).

Extensions

a(9)-a(18) from Bert Dobbelaere, Jun 14 2025