We study some combinatorial properties of Tetris-like games by using Schutzenberger methodology and probability generating functions. We prove that every Tetris-like game is equivalent to a finite state automaton and propose a straight Coward algorithm to transform a Tetris-like game into its corresponding automaton. In this way, we 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.
Combinatorial analysis of Tetris-like games / D. BACCHERINI; D. MERLINI. - In: DISCRETE MATHEMATICS. - ISSN 0012-365X. - STAMPA. - 308 (18):(2008), pp. 4165-4176. [10.1016/j.disc.2007.08.009]
Combinatorial analysis of Tetris-like games
MERLINI, DONATELLA
2008
Abstract
We study some combinatorial properties of Tetris-like games by using Schutzenberger methodology and probability generating functions. We prove that every Tetris-like game is equivalent to a finite state automaton and propose a straight Coward algorithm to transform a Tetris-like game into its corresponding automaton. In this way, we 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.File | Dimensione | Formato | |
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