TILING WITH PUNCTURED INTERVALS
Harry Metrebian · Mathematika · 2018
It was shown by Gruslys, Leader and Tan that any finite subset of tiles for some . The first non-trivial case is the punctured interval, which consists of the interval with its middle point removed: they showed that this tiles for , and they asked if the dimension needed tends to infinity with . In this note we answer this question: we show that, perhaps surprisingly, every punctured interval tiles .