Johannes Kepler (1571-1630), best known for his three laws of planetary motion, was one of the most outstanding mathematicians of his day.  In addition to his astronomical accomplishments, he systematized and extended all that was known about polyhedra in his time.  While previous artist/geometers discovered particular polyhedra, he took a more mathematical approach: he defined classes of polyhedra, discovered the members of the class, and proved that his set was complete. For example, Kepler discovered the infinite class of antiprisms.

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High School "Andrei Straistă" - R. Moldova