Attainable Patterns in Alien Tiles

Authors: Maier, Peter; Nickel, Werner

Source: American Mathematical Monthly, Volume 114, Number 1, January 2007 , pp. 1-13(13)

Publisher: Mathematical Association of America

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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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