Infinite families of monohedral disk tilings

نویسندگان

  • Joel Haddley
  • Stephen Worsley
چکیده

A tiling of a planar shape is called monohedral if all tiles are congruent to each other. We will investigate the possibility of producing monohedral tilings of the disk. Such tilings are produced on a daily basis by pizza chefs by taking radial cuts distributed evenly around the centre of the pizza. After constructing this tiling, a neighbourhood of the origin has non-trivial intersection with each tile. This brings us to the main question of this article:

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عنوان ژورنال:
  • CoRR

دوره abs/1512.03794  شماره 

صفحات  -

تاریخ انتشار 2015