Casse-Briques
Xavier Bressaud, Marie-Claire Fournier
TL;DR
This paper introduces a mathematical model for the Breakout game, revealing complex behaviors and exploring specific cases with combinatorial challenges, contributing to the understanding of game dynamics through formal analysis.
Contribution
It presents a novel mathematical framework for Breakout and analyzes particular cases, highlighting complexities and combinatorial difficulties not previously documented.
Findings
The model exhibits unexpected complexity.
Certain cases are analyzed in detail.
Combinatorial challenges are identified in specific scenarios.
Abstract
This manuscript proposes a mathematical model for the game named Breakout. Its systematic study reveals unexpected complexity. After a survey of general properties of the model, we study in details a special case and exhibit combinatorial difficulties arising in another case.
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Taxonomy
TopicsArtificial Intelligence in Games · Game Theory and Applications · Advanced Graph Theory Research