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Science Math Combinatorics Combinatorial Game Theory
Combinatorial game theory is a branch of mathematics devoted to studying the optimal strategy in perfect-information games with two or more players (typical), one player (puzzles), or zero players (like Conway's Game of Life).
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A comprehensive bibliography on combinatorial games; several papers about combinatorial games; and information about where to publish such results.
Many up-to-date links, and a short introduction.
How many ways are there of throwing n indistinguishable dice each with m faces?
Elwyn's research in the field, including several papers.
Research on pushing blocks, Clickomania, Phutball, and sliding coins. Survey paper on algorithmic combinatorial game theory.
Includes a complete list of all possible Fair Dice, most of which are not cubes. Includes pictures.
Description and analysis of several impartial and partial (partisan) combinatorial games by Lim Chu Wee.
A simple Java implementation of Conway's classic game of life.
Solution of the case of a restricted version called Oddish Phutball by presenting an explicit strategy in terms of a potential function. [PDF]
Mathematical paper by Erik Demaine, Martin Demaine and David Eppstein on solving the Philosopher's Football game. [PDF]
Research on pushing blocks, Clickomania, Phutball, and sliding coins. Survey paper on algorithmic combinatorial game theory.
Solution of the case of a restricted version called Oddish Phutball by presenting an explicit strategy in terms of a potential function. [PDF]
Mathematical paper by Erik Demaine, Martin Demaine and David Eppstein on solving the Philosopher's Football game. [PDF]
Includes a complete list of all possible Fair Dice, most of which are not cubes. Includes pictures.
A simple Java implementation of Conway's classic game of life.
Description and analysis of several impartial and partial (partisan) combinatorial games by Lim Chu Wee.
A comprehensive bibliography on combinatorial games; several papers about combinatorial games; and information about where to publish such results.
Many up-to-date links, and a short introduction.
How many ways are there of throwing n indistinguishable dice each with m faces?
Elwyn's research in the field, including several papers.
Last update:
March 11, 2019 at 5:55:03 UTC
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