Biography:Willem Abraham Wythoff: Difference between revisions
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{{Infobox scientist | {{Infobox scientist | ||
| name = Willem Abraham Wythoff | | name = Willem Abraham Wythoff | ||
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| birth_name = Willem Abraham Wijthoff | | birth_name = Willem Abraham Wijthoff | ||
| birth_date = {{birth date|1865|10|06|df=y}} | | birth_date = {{birth date|1865|10|06|df=y}} | ||
| birth_place = [[Place:Amsterdam|Amsterdam]] | | birth_place = [[Place:Amsterdam|Amsterdam]], Netherlands | ||
| death_date = {{Death date and age|1939|05|21|1865|10|06|df=y}} | | death_date = {{Death date and age|1939|05|21|1865|10|06|df=y}} | ||
| death_place = Amsterdam | | death_place = Amsterdam, Netherlands | ||
| nationality = Dutch | | nationality = Dutch | ||
| fields = [[Mathematics]] | | fields = [[HandWiki:Mathematics|Mathematics]] | ||
| workplaces = | | workplaces = | ||
| alma_mater = [[Organization:University of Amsterdam|University of Amsterdam]] | | alma_mater = [[Organization:University of Amsterdam|University of Amsterdam]] | ||
| doctoral_advisor = [[Biography:Diederik Korteweg|Diederik Korteweg]] | | doctoral_advisor = [[Biography:Diederik Korteweg|Diederik Korteweg]] | ||
| doctoral_students = | | doctoral_students = | ||
| known_for = Wythoff's game | | known_for = {{hlist|Wythoff's game|[[Wythoff construction]]|[[Wythoff symbol]]}} | ||
| awards = | | awards = | ||
| relatives = Geertruida Wijthoff (sister) | |||
}} | }} | ||
'''Willem Abraham Wythoff''' | '''Willem Abraham Wythoff''' ({{IPA|nl|ˈʋɪləm ˈaːbraːɦɑɱ ˈʋɛithɔf}}; born '''Wijthoff'''; 6 October 1865 – 21 May 1939) was a Dutch [[Biography:Mathematician|mathematician]]. | ||
==Biography== | ==Biography== | ||
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| url = http://www.fq.math.ca/Scanned/33-1/kimberling.pdf | | url = http://www.fq.math.ca/Scanned/33-1/kimberling.pdf | ||
| volume = 33 | | volume = 33 | ||
| year = 1995}}.</ref><ref>{{citation | | year = 1995| doi = 10.1080/00150517.1995.12429166 }}.</ref><ref>{{citation | ||
| last = Morrison | first = D. R. | | last = Morrison | first = D. R. | ||
| contribution = A Stolarsky array of Wythoff pairs | | contribution = A Stolarsky array of Wythoff pairs | ||
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In geometry, Wythoff is known for the [[Wythoff construction]] of [[Uniform tiling|uniform tiling]]s and uniform polyhedra and for the [[Wythoff symbol]] used as a notation for these geometric objects. | In geometry, Wythoff is known for the [[Wythoff construction]] of [[Uniform tiling|uniform tiling]]s and uniform polyhedra and for the [[Wythoff symbol]] used as a notation for these geometric objects. | ||
==Selected publications== | == Personal life == | ||
Willem Abraham Wythoff was the youngest of four children born into the wealthy family of Abraham Willem Wijthoff and Anna Catharina Frederika Kerkhoven. His father was a Lutheran and son of the Amsterdam sugar refinery family Wijthoff & Son. His older sisters were: mathematician Geertruida "Truida" Wijthoff, writer Henriëtte Wijthoff and illustrator Anna Catharina Frederika Wijthoff.<ref>{{Cite web |last=Fokkink |first=Robbert |date=2017 |title=Wie weet wie Willem Wijthoff was |url=https://www.researchgate.net/publication/316965046 |archive-date= |access-date=2024-06-21 |website=Researchgate}}</ref> | |||
== Selected publications == | |||
*{{citation|first=W. A.|last=Wythoff|title=A modification of the game of nim|journal=Nieuw Archief voor Wiskunde|volume=2|year=1905–1907|pages=199–202}}. | *{{citation|first=W. A.|last=Wythoff|title=A modification of the game of nim|journal=Nieuw Archief voor Wiskunde|volume=2|year=1905–1907|pages=199–202}}. | ||
*{{citation|first=W. A.|last=Wythoff|title=A relation between the polytopes of the C600-family|publisher=Koninklijke Akademie van Wetenschappen te Amsterdam|journal=Proceedings of the Section of Sciences|volume=20|year=1918|pages=966–970|bibcode=1918KNAB...20..966W}}. | *{{citation|first=W. A.|last=Wythoff|title=A relation between the polytopes of the C600-family|publisher=Koninklijke Akademie van Wetenschappen te Amsterdam|journal=Proceedings of the Section of Sciences|volume=20|year=1918|pages=966–970|bibcode=1918KNAB...20..966W}}. | ||
Latest revision as of 21:51, 23 April 2025
Willem Abraham Wythoff | |
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| Born | Willem Abraham Wijthoff 6 October 1865 Amsterdam, Netherlands |
| Died | 21 May 1939 (aged 73) Amsterdam, Netherlands |
| Nationality | Dutch |
| Alma mater | University of Amsterdam |
| Known for |
|
| Scientific career | |
| Fields | Mathematics |
| Doctoral advisor | Diederik Korteweg |
Willem Abraham Wythoff (nl; born Wijthoff; 6 October 1865 – 21 May 1939) was a Dutch mathematician.
Biography
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]
Contributions
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.
Personal life
Willem Abraham Wythoff was the youngest of four children born into the wealthy family of Abraham Willem Wijthoff and Anna Catharina Frederika Kerkhoven. His father was a Lutheran and son of the Amsterdam sugar refinery family Wijthoff & Son. His older sisters were: mathematician Geertruida "Truida" Wijthoff, writer Henriëtte Wijthoff and illustrator Anna Catharina Frederika Wijthoff.[6]
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, Bibcode: 1918KNAB...20..966W.
References
- ↑ "Gezinsblad van Willem Abraham Wijthoff". http://www.humanitarisme.nl/personen/index.php?m=pedigree&id=I161476. Retrieved Oct 12, 2022.
- ↑ 2.0 2.1 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, https://books.google.com/books?id=K6fac9RxXREC&pg=PA129.
- ↑ Willem Abraham Wythoff at the Mathematics Genealogy Project
- ↑ "The Zeckendorf array equals the Wythoff array", Fibonacci Quarterly 33 (1): 3–8, 1995, doi:10.1080/00150517.1995.12429166, http://www.fq.math.ca/Scanned/33-1/kimberling.pdf.
- ↑ 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, http://www.math.ucsb.edu/~drm/papers/stolarsky.pdf.
- ↑ Fokkink, Robbert (2017). "Wie weet wie Willem Wijthoff was". https://www.researchgate.net/publication/316965046.
External links
- Kimberling, Clark, Willem Abraham Wythoff (1865–1939) number-theorist, http://faculty.evansville.edu/ck6/bstud/wythoff.html
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