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Willem Abraham Wythoff

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Nationality
  
Dutch

Fields
  

Role
  
Mathematician

Name
  
Willem Wythoff

Born
  
6 October 1865Amsterdam (
1865-10-06
)

Alma mater
  
University of Amsterdam

Died
  
1939, Amsterdam, Netherlands

Doctoral advisor
  

Willem Abraham Wythoff, born Wijthoff ( [ʋɛithɔf]), (6 October 1865 – 21 May 1939) was a Dutch mathematician.

Contents

Biography

Wythoff was born in Amsterdam to Anna C. F. Kerkhoven and Abraham Willem Wijthoff, who worked in a sugar refinery. He studied at the University of Amsterdam, and earned his Ph.D. in 1898 under the supervision of Diederik Korteweg.

Contributions

Wythoff is known in combinatorial game theory and number theory for his study of Wythoff's game, whose solution involves the Fibonacci numbers. The Wythoff array, a two-dimensional array of numbers related to this game and to the Fibonacci sequence, is also named after him.

In geometry, Wythoff is known for the Wythoff construction of uniform tilings and uniform polyhedra and for the Wythoff symbol used as a notation for these geometric objects.

Selected publications

  • Wythoff, W. A. (1905–1907), "A modification of the game of nim", Nieuw Archief voor wiskunde, 2: 199–202 .
  • Wythoff, W. A. (1918), "A relation between the polytopes of the C600-family", Proceedings of the Section of Sciences, Koninklijke Akademie van Wetenschappen te Amsterdam, 20: 966–970 .
  • References

    Willem Abraham Wythoff Wikipedia


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