Loyola University Chicago

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Loyola University Chicago

Mathematics and Statistics

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The Department of Mathematics and Statistics offers a wide variety of undergraduate and graduate degree programs designed for students with diverse career or higher educational goals. The faculty assists students achieve these goals with up-to-date courses, seminars, and research or internship projects. Our faculty members maintain highly productive research programs which regularly result in publications in leading journals and academic presses. Much of the faculty research is supported by external agencies. The faculty is also actively engaged in modernizing our elementary course offerings both in content and in the use of technology.

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Overlay of Penrose tiling on portion of Topkapi scroll, an Islamic text from the 1400s.

‌In 1974, Sir Roger Penrose discovered that one can tile the plane in an aperiodic manner using only a handful of tiles. Six, in fact, though he later winnowed it down to two. As Peter Lu and Paul Steinhardt illustrate (Science, 2007), this was known in the Islamic world since the 1200s. Shown above is Panel 52 of the Topkapi scroll, which uses five tiles in place of Penrose's "kites and darts." (The fifth, a pentagon, doesn't appear in this window.)

Loyola

Department of Mathematics and Statistics
Loyola University Chicago · 1032 W. Sheridan Road, Chicago,IL 60660
Phone: 773.508.3558 · Fax: 773.508.2123 · Contact Us

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