Self-similar structure of \(\mathcal{P}\)-positions of the game Euclid

MaRDI QIDQ6492237

Michael A. Jones, Brittany C. Ohlinger

Publication date: 24 April 2024

Published in: The Fibonacci Quarterly (Search for Journal in Brave)

Mathematics Subject Classification ID

Fibonacci and Lucas numbers and polynomials and generalizations (11B39) Multiplicative structure; Euclidean algorithm; greatest common divisors (11A05)

Cites Work

• The Sprague-Grundy function of the real game Euclid
• Euclid, Calkin \& Wilf --- playing with rationals
• The Sprague-Grundy function of the game Euclid
• Recounting the Rationals
• A Game Based on the Euclidean Algorithm and A Winning Strategy for it
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