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

Sphere Packings, Lattices and Groups (Grundlehren der. €�The study of continuous families of lattice is not done,. It looks at the 24 dimensional Leech lattice in numerous ways. Not all books on / appear on the homepage.. One of the most information packed 600+ page tomes in the library here is Sphere Packings, Lattices and Groups by J. On page 328 of Ernst Witt's Collected Papers Ina Kersten recalls that Witt gave a colloquium talk on January 27, 1970 in Hamburg entitled "Gitter und Mathieu-Gruppen" (Lattices and Mathieu-groups). Sphere Packings, Lattices and Groups (Grundlehren der mathematischen Wissenschaften). The paper 'Notes on sphere packings' appeared in 1967 in the Canad. Http://dx.doi.org/10.1016/0022-314X(82)90084-1; 9. Sloane, Sphere Packings, Lattices and Groups (Grundlehren Math. It's also involved in a particular construction of the Leech lattice, which is in turn used to construct the famous Monster group. Surveys and Monographs 30, AMS, Providence, 1989; Markov Number -- from Wolfram MathWorld The Book of Numbers. (For more, of course, consult the excellent Sphere Packings, Lattices, and Groups from Conway and Sloane). Buy Compendium of Continuous Lattices by G. Sloane, Sphere packings, lattices and groups, 3rd ed., Grundlehren der Mathematischen Wissenschaften [Fundamental Principles of Mathematical Sciences], vol. Download Continuous Lattices and Domains book - tuyeteuDownload Continuous Lattices and Domains book . I'm going to start by describing a game that seems completely unrelated to sphere packing. 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 . Property that unit balls around the lattice points touch, each one of them having exactly 196560 neighbors. Single contribution in a book: 3.