We prove that if is a right triangle with an acute angle where tan is a totally positive algebraic number then the square can be decomposed into finitely many similar copies of . This result completes the classification of all triangles which ``tile" the square.
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Received April 12, 1999
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Szegedy, B. Tilings of the Square With Similar Right Triangles. Combinatorica 21, 139–144 (2001). https://doi.org/10.1007/s004930170008
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DOI: https://doi.org/10.1007/s004930170008