Robert Berger (mathematician)

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Robert Berger (born 1938) is an applied mathematician, known for discovering the first aperiodic tiling[1] using a set of 20,426 distinct tile shapes.

The unexpected existence of aperiodic tilings, although not Berger's explicit construction of them, follows from another result proved by Berger: that the so-called domino problem is undecidable, disproving a conjecture of Hao Wang, Berger's advisor. The result is analogous to a 1962 construction used by Kahr, Moore, and Wang, to show that a more constrained version of the domino problem was undecidable.[2]

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