- 93-163 Radin C.
- SYMMETRY OF TILINGS OF THE PLANE
(36K, plain TeX and postscript)
Jun 4, 93
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Abstract. We discuss two new results on tilings of the plane.
In the first, we give sufficient conditions for the tilings
associated with an inflation rule to be uniquely ergodic
under translations, the conditions holding for the pinwheel
inflation rule. In the second result we prove there are
matching rules for the pinwheel inflation rule, making the
system the first known to have complete rotational symmetry.