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Saturday, April 27, 2019

Potential mathematics-based research: fractal patterns in geology

As I watch a Netflix show, "Forces of Nature," there are stunning aerial photos of crevices in the earth's surface. These look more like patterns in fern leaves, or of artery networks of the body. Perhaps there are students who are interested in learning about and applying fractal geometry to the analysis natural systems. Geological features of the earth could provide some interesting possibilities for such a study. This could be done locally in various parts of the country if one had a drone to get some aerial photos of nearby locations, and see what type of geometrical/fractal patterns exist and may be interesting to analyze. Other students may be interested in trying to explain how and why such patterns are formed in the first place.

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