Combinatorial analysis of Tetris-like games
Copyright policy )Combinatorial analysis of Tetris-like games
Combinatorial properties of tetris-like games are studied by using Schützenberger methodology and probability generating functions. It is proved that every tetris-like game is equivalent to a finite state automaton. A straightforward algorithm to transform a Tetris-like game into its corresponding automaton is presented. In this way, one can study the average number of pieces inserted during a game and the average score as a function of the player's ability and the pieces extrusion.
- University of Florence Italy
Probability generating functions, Exact enumeration problems, generating functions, Tetris-like games, Complexity classes (hierarchies, relations among complexity classes, etc.), finite state automaton, probability generating functions, Discrete Mathematics and Combinatorics, Combinatorial games, Schützenberger methodology, Theoretical Computer Science
Probability generating functions, Exact enumeration problems, generating functions, Tetris-like games, Complexity classes (hierarchies, relations among complexity classes, etc.), finite state automaton, probability generating functions, Discrete Mathematics and Combinatorics, Combinatorial games, Schützenberger methodology, Theoretical Computer Science
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