  To study the singularities that appear in mean curvature flow, one must
understand self-shrinkers, surfaces that shrink by dilations under mean
curvature flow. The simplest examples of self-shrinkers are spheres and
cylinders. In 1989, Angenent constructed the first nontrivial example of a
self-shrinker, a torus. A key quantity in the study of the formation of
singularities is the entropy, defined by Colding and Minicozzi based on work of
Huisken. The values of the entropy of spheres and cylinders have explicit
formulas, but there is no known formula for the entropy of the Angenent torus.
In this work, we numerically estimate the entropy of the Angenent torus using
the discrete Euler-Lagrange equations.
