Compact Packings of the Plane with Two Sizes of Discs
نویسنده
چکیده
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. c © 2004 by the author. Reproduction of this article is permitted for non-commercial purposes.
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عنوان ژورنال:
- Discrete & Computational Geometry
دوره 35 شماره
صفحات -
تاریخ انتشار 2006