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MATHÉMATICS & ARTS |
Exhibit & Lecture |
Initialy
presented at the Institut Henri Poincaré,
Paris. France. |
January
22 - June 30, 2005 |
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- CASSELMAN William
- AUSTIN David
- WRIGHT David
- Mathematicians
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Bill Casselman received his Ph. D. at Princeton University in 1967 where Goro Shimura was his adviser, and still does research in automorphic forms and representation theory, as well as related explorations involving computation in Coxeter groups. He has been on the faculty of the University of British Columbia since 1971, having emigrated to Canada from the United States in the days when Ronald Reagan was governor of California. He is graphics editor of the NOTICES of the American Mathematical Society and author of the book "Mathematical Illustrations" from Cambridge University Press. |
David Austin received his Ph.D. in 1989 at the University of Utah working in topology and gauge theory under the supervision of Ron Stern. Besides topology and geometry, his current mathematical interests include programming and discrete mathematics. After working at the University of British Columbia for eight years, he moved to Grand Valley State University in western Michigan in 1999. He is co-organizing a graduate workshop on mathematical graphics to be held next summer and will become a contributing co-editor of the American Mathematical Society's monthly online Feature Column in the new year. |
David Wright graduated from Harvard in 1982 with a Ph. D. directed by Barry Mazur. He worked at the Massachusetts Institute of Technology 1982--85 and has been since then on the faculty at Oklahoma State University. He is one of the authors of the book "Indra's Pearls" from Cambridge University Press, along with David Mumford and Caroline Series. He currently does research in analytic and algebraic number theory and the geometry of discrete groups. |
Click thumbnail to enlarge picture |
Penrose 11
"It was in about 1977 that Roger Penrose discovered the tiling of the plane that now bear his name. They possess local symmetries of arbitrarily high order, but no global ones. The tiles are assembled according to local rules, as illustrated in the center of this picture, but the fact that the entire plane can be tiled in this way is proved by means of a process called inflation/deflation, in which tiles at one level are assembled into tiles at a higher level, or conversely partitioned into tiles at a lower level. The ratio of the size of one level to another is the golden ratio $1.618 \dots$.
The process of inflation can be seen in the transition from lower left to upper right in this picture. |
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Kleinian Pearls
This image has been realized by David Wright. It was first introduced at the 2003 NSF Visualization Challenge. It is also featured along with a descriptive on the cover of the December 2004 issue of the NOTICES of the American Mathematical Society.
Similar ensembles and how to draw them are the main theme of a brilliantly illustrated book titled Indra’s Pearls (Cambridge University Press, 2002). http://klein.math.okstate.edu/IndrasPearls/Wonders/ |
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