Attainable Patterns in Alien Tiles
Abstract:This article considers generalizations of a board game called Alien Tiles, which is available on the internet at http://www.alientiles.com/. The aim of this game is to attain a given pattern from an initial pattern. A criterion for the attainability of patterns is presented together with an algorithm for obtaining a given pattern from the initial pattern. From this a general formula for the proportion of attainable patterns in the set of all patterns is derived.
Document Type: Research Article
Publication date: 2007-01-01
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- American Mathematical Monthly publishes articles, notes, and other features about mathematics and the profession. AMM readers span a broad spectrum of mathematical interests, and include professional mathematicians as well as students of mathematics at all collegiate levels.
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