Hackenbush is a game in combinatorial game theory in which player Left can delete any bLue edge, player Right can delete
any Red edge, and either player can delete Green edges. A hackenbush figure can be
evaluated as a Conway game or surreal
number . A few values are indicated above.
See also Conway Game ,
Domineering ,
Game Theory ,
Surreal
Number
This entry contributed by Ed Pegg,
Jr. (author's link )
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References Berlekamp, E. R.; Conway, J. H.; and Guy, R. K. Winning
Ways for Your Mathematical Plays. Conway,
J. H. On
Numbers and Games. Conway, J. H.
and Guy, R. K. The
Book of Numbers. Gonshor,
H. An
Introduction to Surreal Numbers. Knuth, D. Surreal
Numbers: How Two Ex-Students Turned on to Pure Mathematics and Found Total Happiness. http://www-cs-faculty.stanford.edu/~knuth/sn.html . Schleicher,
D. and Stoll, M. "An Introduction to Conway's Numbers and Games." http://arxiv.org/abs/math.CO/0410026 . Sloane,
N. J. A. Sequence A065401 in "The
On-Line Encyclopedia of Integer Sequences." Referenced on Wolfram|Alpha Hackenbush
Cite this as:
Pegg, Ed Jr. "Hackenbush." From MathWorld Eric W. Weisstein .
https://mathworld.wolfram.com/Hackenbush.html
Subject classifications
