4 citations · 6 across the 6 of their papers we have counts for
8 papers
A game of packings
Arthur Baragar, Daniel Lautzenheiser
In this note, we investigate an infinite one parameter family of circle packings, each with a set of three mutually tangent circles. We use these to generate an infinite set of cir…
Enriques surfaces and an Apollonian packing in eight dimensions
Arthur Baragar
We call a packing of hyperspheres in dimensions an Apollonian sphere packing if the spheres intersect tangentially or not at all; they fill the -dimensional space; and every…
Apollonian packings in seven and eight dimensions
Arthur Baragar
In an earlier work, we proposed a generalization for the Apollonian packing in arbitrary dimensions and showed that the resulting object in four, five, and six dimensions have prop…
The Apollonian circle packing and ample cones for K3 surfaces
Arthur Baragar
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 i…
The Neron-Tate pairing and elliptic K3 surfaces
Arthur Baragar
In this paper, we demonstrate a connection between the group structure and Neron-Tate pairing on elliptic curves in an elliptic fibration with section on a K3 surface, and the stru…
Efficiently constructing tangent circles
Arthur Baragar, Alex Kontorovich
Our goal is to present, in what we believe is the most efficient way possible, a construction of four mutually tangent circles.