Wythoff's game

GPTKB entity

Statements (18)
Predicate Object
gptkbp:instanceOf gptkb:board_game
combinatorial game
gptkbp:category impartial game
gptkbp:firstDescribed 1907
gptkbp:hasPPosition (floor(k*phi), floor(k*phi^2)) for k ≥ 1, phi = (1+sqrt(5))/2
https://www.w3.org/2000/01/rdf-schema#label Wythoff's game
gptkbp:involves gptkb:Beatty_sequence
gptkb:golden_ratio
gptkbp:movement removal
gptkbp:moveRule remove any number of counters from one pile or the same number from both piles
gptkbp:namedAfter Willem Abraham Wythoff
gptkbp:numberOfPlayers 2
gptkbp:played_for two piles of counters
gptkbp:relatedTo gptkb:Nim
gptkbp:strategy P-positions can be described using the golden ratio
gptkbp:winCondition player who removes the last counter wins
gptkbp:bfsParent gptkb:Golden_Sequence
gptkbp:bfsLayer 6