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Hackenbush


Hackenbush

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. Wellesley, MA: A K Peters, 2004.Conway, J. H. On Numbers and Games. Wellesley, MA: A K Peters, 2000.Conway, J. H. and Guy, R. K. The Book of Numbers. New York: Springer-Verlag, pp. 283-284, 1996.Gonshor, H. An Introduction to Surreal Numbers. Cambridge, England: Cambridge University Press, 1986.Knuth, D. Surreal Numbers: How Two Ex-Students Turned on to Pure Mathematics and Found Total Happiness. Reading, MA: Addison-Wesley, 1974. 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."

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Hackenbush

Cite this as:

Pegg, Ed Jr. "Hackenbush." From MathWorld--A Wolfram Web Resource, created by Eric W. Weisstein. https://mathworld.wolfram.com/Hackenbush.html

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