A computed example of nonuniqueness of mean curvature flow in R3

A family of surface (M{sub t}){sub t{element_of}R} in R{sup n} is said to be moving by mean curvature provided. Here H(x) is the mean curvature vector of M{sub t} at x. Is there a smooth hypersurface in some Euclidean space whose mean curvature flow admits nonuniqueness after the onset of singularities? In this note we present compelling numerical evidence for nonuniqueness starting from a certain smooth surface in R{sup 3}. In contrast to other references, we do not have a complete proof for our construction.