One member of an infinite series of tilings generated by a more general construction than a tile-substitution, [Sad98].
In particular, Sadun’s construction yields tilings with infinitely many prototiles,
as well as with finitely many prototiles. Each tiling in this series is described by two positive integer parameters.
This one, with parameter ^{1}⁄_{2}, is one of the ‘simplest’, in the sense that there are only two prototiles.
THE simplest in the series is the one with parameter 1, which is the well known pinwheel
tiling.

[Sad98]

Sadun, L.

**Some generalizations of the pinwheel tiling**

*Discrete Comput. Geom.*
1998,
20,1,
pp. 79–110,
1626703