Self-shrinking Platonic solids
Differential Geometry
2016-02-24 v1 Analysis of PDEs
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.
Cite
@article{arxiv.1602.07271,
title = {Self-shrinking Platonic solids},
author = {Daniel Ketover},
journal= {arXiv preprint arXiv:1602.07271},
year = {2016}
}