The Apollonian circle packing and ample cones for K3 surfaces
arXiv:1708.06061
Abstract
In an earlier work, we gave an Apollonian-like pictorial representation for the ample cone for a class of K3 surfaces. This raises a natural question: Does the Apollonian packing itself represent the ample cone for a K3 surface? In this note, we answer this question in the affirmative.