Abstract

Poilva: The single word is written in Escher's hand on the cover of the small school-notebook. The second of 17 numbered workbooks filled with sketches and investigations on regular plane division by Escher, this one was singled out by the artist for future reference. Mathematicians have admired and used the work of the Dutch graphic artist M. C. Escher (1898-1972) ever since his work became widely known to the mathematical community. Many encountered his work for the first time when an exhibition was held at the Stedelijk Museum in Amsterdam in conjunction with the 1954 International Congress of Mathematicians. There is no doubt that some of his work after that time was directly the result of fruitful interchanges with mathematicians. (H. S. M. Coxeter, Roger Penrose, and Caroline MacGillavry are among those whose ideas were appropriated by Escher with spectacular results.) Long before these contacts, however, Escher had benefitted from interaction with the work of other mathematicians-most notably, Polya. In 1922, Escher visited the Alhambra in Granada, Spain, for the first time. He wrote

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