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Sphere Packings, Lattices and Groups John Horton Conway, Neil J. A. Sloane
Publisher: Springer

Groups of Finite Order, Dover (1937, reprint 1956).Conway, J.H.; Sloane N.J.A. Sphere Packings, Lattices and Groups (Grundlehren der Mathematischen Wissenschaften (Springer)). It's also involved in a particular construction of the Leech lattice, which is in turn used to construct the famous Monster group. Sphere Packings, Lattices and Groups: v. I'm going to start by describing a game that seems completely unrelated to sphere packing. Sphere Packings, Lattices and Groups (Grundlehren der mathematischen Wissenschaften) book download. One may think of a lattice packing, the particular case where the centers of these spheres are exactly the points of a lattice $L$ or, more generally, of periodic packing when the centers of the spheres are finitely many translates $v_1+L,\dots . Sloane, Sphere Packings, Lattices and Groups, vol. Today I found myself reading the preface to the classic Conway-Sloane monograph Sphere Packings, Lattices and Groups. Sphere Packings, Lattices, and Groups. The paper [2] contains a classification of the Eisenstein lattices for , , and . 290, Springer, New York, NY, USA, 3rd edition, 1999. Conway and Sloane are also the authors of the standard reference work on the mathematics of sphere packing: Conway, J. Mimic jammed disordered sphere packings. Eisenstein lattices (or the more general theta lattices introduced in [1]) are of interest in the theory of modular forms, as their theta series is a modular form of weight for the full Hermitian modular group with respect to (cf. Not all books on / appear on the homepage.. Using the sphere periodic packings achieved via an fcc lattice or one of its stacking variants 2 , the .. 290 (Grundlehren Der Mathematischen Wissenschaften.) Springer Verlag. Surveys and Monographs 30, AMS, Providence, 1989; Markov Number -- from Wolfram MathWorld The Book of Numbers.