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ASU 514 All Soviet Union MO 1990 rectangle disect 15 congruent polygons

Source:

August 14, 2019
Tilingcongruentrectanglesquarecombinatorial geometrygeometry

Problem Statement

Does there exist a rectangle which can be dissected into 1515 congruent polygons which are not rectangles?
Can a square be dissected into 1515 congruent polygons which are not rectangles?