Wythoff games, continued fractions, cedar trees and Fibonacci searches

  • Aviezri S. Fraenkel
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 154)


Recursive, algebraic and arithmetic strategies for winning generalized Wythoff games in misère play are given. The notion of cedar trees, a subset of binary trees, is introduced and used for consolidating these and the normal play strategies. A connection to generalized Fibonacci searches is indicated.


Nonnegative Integer Continue Fraction Left Shift Algebraic Characterization Left Subtree 
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Copyright information

© Springer-Verlag Berlin Heidelberg 1983

Authors and Affiliations

  • Aviezri S. Fraenkel
    • 1
  1. 1.Department of Applied MathematicsThe Weizmann Institute of ScienceRehovotIsrael

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