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arXiv · 1602.07271

Self-shrinking Platonic solids

Daniel Ketover
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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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Daniel Ketover. 2016-02-23. Self-shrinking Platonic solids. https://arxiv.org/abs/1602.07271

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