Combinatorics · Tiling · Plane covering · Fibonacci numbers · Explicit construction
Can the plane be tiled by squares - that is, covered completely, with no two squares overlapping - in such a way that no side length is used by more than two of the squares?
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Serbian Regional Competition (Okruzno takmicenje) 2000, high school grade I, category A, problem 1. Organized by the Mathematical Society of Serbia (DMS). Source