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Self-shrinking Platonic solids

Published 23 Feb 2016 in math.DG and math.AP | (1602.07271v1)

Abstract: We construct new embedded self-shrinkers of genus 3, 5, 7, 11 and 19 using variational methods. Our self-shrinkers resemble doublings of the Platonic solids and were discovered numerically by D. Chopp in 1994.

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