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Sphere Packings, Lattices and Groups by John Horton Conway, Neil J. A. Sloane

Sphere Packings, Lattices and Groups John Horton Conway, Neil J. A. Sloane ebook
Format: djvu
Page: 776
ISBN: 0387985859, 9780387985855
Publisher: Springer

Mimic jammed disordered sphere packings. C is a group and {n + mi, for all n,m, in Z} is a subgroup and you take the quotient group .. Conway andSloane, Sphere Packings, Lattices and Groups, Springer, 1998. I have been working with issues somewhat tangential to the monster group, and more with the modular forms which are related to the lattice or sphere packing of E_8 and the Leech lattice ?_{24}. More neat applications of theta functions. Surveys and Monographs 30, AMS, Providence, 1989; Markov Number -- from Wolfram MathWorld The Book of Numbers. Now one can see that a torus can be made into a group as follows: take the complex plane and set equal to zero all points which are linear integral combinations of two vectors with different directions, say 1 and i. Conway and Sloane are also the authors of the standard reference work on the mathematics of sphere packing: Conway, J. One of the most information packed 600+ page tomes in the library here is Sphere Packings, Lattices and Groups by J. It looks at the 24 dimensional Leech lattice in numerous ways. (For more, of course, consult the excellent Sphere Packings, Lattices, and Groups from Conway and Sloane). Using the sphere periodic packings achieved via an fcc lattice or one of its stacking variants 2 , the .. Sphere Packings, Lattices, and Groups. Not all books on / appear on the homepage.. Sloane, Sphere Packings, Lattices and Groups (Grundlehren Math. 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 . Single contribution in a book: 3.