Abstract
We consider packings of the plane using discs of radius 1 and r. A packing is compact if every disc D is tangent to a sequence of discs D1, D2, ..., Dn such that Di is tangent to Di+1. We prove that there are only nine values of r with r < 1 for which such packings are possible. For each of the nine values we describe the possible compact packings.
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Kennedy, T. Compact Packings of the Plane with Two Sizes of Discs. Discrete Comput Geom 35, 255–267 (2006). https://doi.org/10.1007/s00454-005-1172-4
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DOI: https://doi.org/10.1007/s00454-005-1172-4