Robert Berger invented the first aperiodic tiling using a set of 20,426 distinct tile shapes. This disproved a conjecture of Hao Wang (Berger's advisor), and was published as the Undecidability of the domino problem in the Memoirs of the AMS in 1966. This paper was essentially a reprint of Berger's 1964 dissertation at Harvard University; Berger's other two committee members were Patrick Carl Fischer and Marvin Minsky.
Robert W. Berger was born in 1933. He received his Ph.D. in 1958 at the Ruprecht-Karls-Universität Heidelberg; it was titled,"Derivationen mehrstufiger diskreter Bewertungsringe von Primzahlcharakteristik." He published a number of geometry textbooks. Among them was "Differentialrechnung in der analytischen Geometrie" published in 1967 as part of the Springer-Verlag Lecture notes in mathematics series.
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Retrieved from "http://en.wikipedia.org/wiki/Robert_Berger_(mathematician)"
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