EVENT DETAILS
Title: Why is Lettuce So Wrinkly?
Speaker: John Gemmer, Ph.D., Wake Forest University
Abstract: Many patterns in Nature and industry arise from the system minimizing an appropriate energy. Torn plastic sheets and growing leaves provide striking examples of pattern forming systems which can transition from single wavelength geometries (leaves) to complex fractal like shapes (lettuce). These fractal like patterns seem to have many length scales -the same amount of extra detail can be seen when looking closer ("statistical self-similarity"). It is a mystery how such complex patterns could arise from energy minimization alone. In this talk I will address this puzzle by showing that such patterns naturally arise from the sheet adopting a hyperbolic non-Euclidean geometry. However, there are many different hyperbolic geometries that the growing leaf could select. I will show using techniques from analysis, differential geometry and numerical optimization that the fractal like patterns are indeed the natural minimizers for the system.
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TIME Monday March 9, 2020 at 4:00 PM - 5:00 PM
LOCATION M416, Technological Institute map it
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CONTACT Meelee Ahn Park meelee.park@northwestern.edu
CALENDAR McCormick-Engineering Sciences and Applied Mathematics