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
|