In [RaSa98] Radin and Sadun constructed 3-dimensional tilings associated with subgroups of SO(3) generated by two rational rotations. One of the tilings was called “dite and kart”. The two-dimensional corresponding tiling is shown here (taken from Fig 1 in [RaSa98]).
Radin, C., Sadun, L.
Subgroups of SO(3) associated with tilings
J. Algebra 1998, 202,2, pp. 611-633, 1617675