A tiling is a collection = { T i | i = 1, 2, …} of closed topological discs which covers the Euclidean plane E 2 , and of which the individual tiles T i have disjoint interiors. We shall assume throughout that the intersection of any two tiles is a connected set. If each tile is congruent (directly or reflectively isometric) to a given set T , then the tiling is called monohedral and T is called the prototile of . Clearly every monohedral tiling is locally finite.
No takes yet. Share an insight, caveat, or question.
Grünbaum et al. (1977) studied this question.