"scienceisbeauty:  A Pythagorean tiling or two squares tessellation is a tessellation of an Euclidean plane by squares of two different sizes, in which each square touches four squares of the other size on its four sides. Because of numerous proofs of the Pythagorean theorem based on such a tiling, it is called a Pythagorean tiling. It also is commonly used as a pattern for floor tiles as in ""Street Musicians at the Doorway of a House"
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