Chaotic Geodesic Motion: An Extension of M.C. Escher’s Circle Limit Designs

Victor J. Donnay

A chapter in M.C. Escher’s Legacy, 2003, pp 318-333 from Springer

Abstract: Abstract My parents, Gabrielle (Gai) and Joseph D.H. Donnay, were crystallographers. In June of 1959, while on sabbatical leave in France, they met and visited with M.C. Escher at his home in Holland. They were fascinated with his beautiful designs and the lovely way in which his work illustrated ideas of symmetry. Gai was then organizing a symposium on symmetry for the 1960 International Union of Crystallography meeting to be held in Cambridge, England and invited Escher to present his work at this meeting [1, p. 94]. His talk at the meeting was a great success and was the start of a wonderful collaboration between Escher and crystallographers. The family story was that Gai “discovered” Escher and made him famous (to the scientific community). I grew up in an Escher-rich environment which no doubt contributed to my development as a visual and geometric mathematician. It was a great pleasure for me to participate in the centennial celebration of the birth of M.C. Escher. In honor of the role they played in the Escher story, I dedicate this article to the memory of Gai and J.D.H. Donnay (Fig. 1).

Keywords: Negative Curvature; Euclidean Plane; Positive Curvature; Hyperbolic Plane; Hyperbolic Geometry (search for similar items in EconPapers)
Date: 2003
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-540-28849-7_31

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DOI: 10.1007/3-540-28849-X_31

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