Euclid, Calkin \& Wilf --- playing with rationals

DOI10.4171/EM/95zbMath1193.91033MaRDI QIDQ942848

Jörn Steuding, Gertraud Schuster, Stefanie Hofmann

Publication date: 8 September 2008

Published in: Elemente der Mathematik (Search for Journal in Brave)

Full work available at URL: http://www.ems-ph.org/journals/show_pdf.php?issn=0013-6018&vol=63&iss=3&rank=1

zbMATH Keywords

continued fractionswinning strategygame EuclidCalkin Wilf treeplaying Euclid on the Calkin Wilf tree

Mathematics Subject Classification ID

Trees (05C05) Games involving graphs (91A43) Other combinatorial number theory (11B75) Combinatorial games (91A46)

Related Items

The Sprague-Grundy function of the real game Euclid ⋮ The \(q\)-Calkin-Wilf tree ⋮ Variations of the game 3-Euclid ⋮ On tame, pet, domestic, and miserable impartial games ⋮ Diophantine aspects of the Calkin-Wilf iteration

Uses Software

• OEIS

Cites Work

• Recounting the Rationals
• FUNCTIONAL PEARL: Enumerating the rationals
• A Game Based on the Euclidean Algorithm and A Winning Strategy for it
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