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Undergraduate Research Project in Random Tilings

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Visit this site: http://faculty.uml.edu/jpropp/tiling/www/

Author:Propp, Wilson
Description: This project investigates different regions of random tilings of nxn squares with 1x2 dominoes: square, hexagon, fortress, dungeon, and Aztec diamond (the set of lattice squares completely inside a square tilted 45 degrees, discovering that the dominoes all go in the same direction at each of the). The site includes papers relevant to the research project, others with more theoretical results, and software documentation; links related to mathematics; a scrapbook of pictures; and Random tilings in motion, applets that use the Propp-Wilson algorithm to form animated tilings. Unlike tessellations, these tilings may tile the shape but not the plane.

Levels: College, Research
Languages: English
Resource Types: Graphics, Problems/Puzzles, Articles, Topic Tools Miscellaneous, Web Interactive/Java
Math Topics: Combinatorics, Symmetry/Tessellations

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