Geometrical extensions of Wythoff's game

DOI10.1016/j.disc.2007.12.089zbMath1165.91007OpenAlexW2022162817MaRDI QIDQ1025554

Eric Duchêne, Sylvain Gravier

Publication date: 19 June 2009

Published in: Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.disc.2007.12.089

zbMATH Keywords

Nimgame graphimpartial combinatorial gamesWythoff's sequence

Mathematics Subject Classification ID

Games involving graphs (91A43)

Related Items

One pile misère bounded Nim with two alliances, Adjoining to (K,s,t)-Wythoff's game its P-generators as moves, Vertex Nim played on graphs, General restriction of \((s,t)\)-Wythoff's game, Nim with one or two dynamic restrictions, Multi-player small Nim with passes, Two variants of Wythoff's game preserving its \(\mathcal P\)-positions, a-Wythoff’s game with n players, Multi-player End-Nim games, One-pile Nim games with arbitrarily many random players, Adjoining to \((s,t)\)-Wythoff's game its \(P\)-positions as moves, General restrictions of Wythoff-like games, Misère Nim with multi-player, A class of extensions of restricted (\(s\), \(t\))-Wythoff's game, Extensions and restrictions of Wythoff's game preserving its \(\mathcal P\) positions, Multi-player Wythoff's game and its variants, Invariant games, Polynomial time winning strategies for three variants of \((s,t)\)-Wythoff's game, Multi-player subtraction games, SELF-SIMILARITY OF 𝒫-POSITIONS OF (2n + 1)-DIMENSIONAL WYTHOFF’S GAME, Variants of \((s, t)\)-Wythoff's game

Cites Work

• Unnamed Item
• Unnamed Item
• The Sprague-Grundy function for Wythoff's game
• The generalized Sprague-Grundy function and its invariance under certain mappings
• Nonhomogeneous spectra of numbers
• How far can nim in disguise be stretched?
• Heap games, numeration systems and sequences
• Complexity, appeal and challenges of combinatorial games
• How to Beat Your Wythoff Games' Opponent on Three Fronts