Some tilings of the plane whose singular points form a perfect set
Author: Marilyn Breen
Journal: Proc. Amer. Math. Soc. 89 (1983), 477-479
MSC: Primary 52A45; Secondary 05B45
MathSciNet review: 715870
Abstract: Let be a tiling of the plane such that for every tile of there correspond a tile of (not necessarily unique) and an integer (depending on and ), , such that meets in connected components. Then the set of singular points of is a nowhere dense, perfect set.
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