Willem Abraham Wythoff
|Willem Abraham Wythoff|
6 October 1865|
|Alma mater||University of Amsterdam|
|Doctoral advisor||Diederik Korteweg|
|Known for||Wythoff's game, Wythoff construction, Wythoff symbol|
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.
- 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.
- 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 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", 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, Santa Clara, Calif: The Fibonacci Association, pp. 134–136.