2-Ball Packings contains two packages that count the number of unit disks that can be embedded in a 2-ball of radius r. The first (P2BallA.m) packs images of the unit disk in annuli determined by a nested concentric sequence of smaller 2-balls. The second (P2BallH.m) utilizes the dense hexagonal packing of the plane. The position of the 2-ball is then varied over this packing in order to determine the largest possible count. Since the packings are subject to geometric constraints they are maximal only for certain values of r.
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