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MC Escher: Tilings (or Tessellations) 

Mathematicians ask: What shapes a tile? In what ways do they tile? In how many ways do they tile? J. Kepler, P.J. MacMahon, and M.C. Escher are some of the early pioneeers who explored these questions. Many mathematicians (notably, B. Grünbaum and G.C. Shephard) have contributed to the current state of knowledge in this active field. But many others are also contributors since tilings provide models for natural phenomena such as crystal structure and cellular structure of plants, they are encountered in coding theory and nearest neighbor problems, and they provide wonderful recreational problems.   

see "Visions of Symmetry" (Schattschneider), and Computer Software for Tiling at http://www.geom.umn.edu/software/tilings/TilingSoftware.html 


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Bert G. Wachsmut
Last modified: 11/08/00