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

Willem Abraham Wythoff | |
---|---|

Born | Willem Abraham Wijthoff 6 October 1865 |

Died | 21 May 1939 Amsterdam | (aged 73)

Nationality | Dutch |

Alma mater | University of Amsterdam |

Known for | Wythoff's game, Wythoff construction, Wythoff symbol |

Scientific career | |

Fields | Mathematics |

Doctoral advisor | Diederik Korteweg |

Wythoff was born in Amsterdam to Anna C. F. Kerkhoven and Abraham Willem Wijthoff,^{[1]} who worked in a sugar refinery.^{[2]} He studied at the University of Amsterdam, and earned his Ph.D. in 1898 under the supervision of Diederik Korteweg.^{[3]}

Wythoff is known in combinatorial game theory and number theory for his study of Wythoff's game, whose solution involves the Fibonacci numbers.^{[2]} The Wythoff array, a two-dimensional array of numbers related to this game and to the Fibonacci sequence, is also named after him.^{[4]}^{[5]}

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.

- 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, Bibcode:1918KNAB...20..966W.

**^**W.A. Wijthoff genealogy- ^
^{a}^{b}Stakhov, Alexey; Stakhov, Alekseĭ Petrovich; Olsen, Scott Anthony (2009),*The Mathematics of Harmony: From Euclid to Contemporary Mathematics and Computer Science*, K & E Series on Knots and Everything, vol. 22, World Scientific, pp. 129–130, ISBN 9789812775825. **^**Willem Abraham Wythoff at the Mathematics Genealogy Project**^**Kimberling, Clark (1995), "The Zeckendorf array equals the Wythoff array" (PDF),*Fibonacci Quarterly*,**33**(1): 3–8.**^**Morrison, D. R. (1980), "A Stolarsky array of Wythoff pairs",*A Collection of Manuscripts Related to the Fibonacci Sequence*(PDF), Santa Clara, Calif: The Fibonacci Association, pp. 134–136.

- Kimberling, Clark,
*Willem Abraham Wythoff (1865–1939) number-theorist*