Lattices, packings and tilings in the plane

Marcel Berger ()
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Marcel Berger: IHÉS, Bures-sur-Yvette, Institut des Hautes Études Scientifiques

Chapter Chapter IX in Geometry Revealed, 2010, pp 563-622 from Springer

Abstract: Abstract Preliminary note. For the arrangement of Chaps. IX and X, we have adopted the following policy concerning the interplay between dimension 2 and dimensions 3 and higher. In the present chapter - in spite of its title - we will treat higher dimensions for those subjects that will not be treated in detail in the next chapter, either because we have chosen not to discuss them further or because we want to treat matters extremely fast. Finally, we will encounter practically no open problems in the case of the plane, contrary to the spirit of our book; this will be entirely different in Chap. X.

Keywords: Euclidean Plane; Voronoi Cell; Hyperbolic Plane; Golden Ratio; Packing Circle (search for similar items in EconPapers)
Date: 2010
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DOI: 10.1007/978-3-540-70997-8_9

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