Zobrazeno 1 - 10
of 10 685
pro vyhledávání: '"Sphere packings"'
Autor:
Cohn, Henry, Rajagopal, Isaac
We analyze Sz\"oll\H{o}si's recent construction of a five-dimensional kissing configuration and produce a new such configuration, the fourth to be discovered. We construct five-dimensional sphere packings from these configurations, which augment Conw
Externí odkaz:
http://arxiv.org/abs/2412.00937
Autor:
Thomas Hales
The 400-year-old Kepler conjecture asserts that no packing of congruent balls in three dimensions can have a density exceeding the familiar pyramid-shaped cannonball arrangement. In this book, a new proof of the conjecture is presented that makes it
Autor:
Wackenhuth, Maximilian
We prove sphere packing density bounds in hyperbolic space (and more generally irreducible symmetric spaces of noncompact type), which were conjectured by Cohn and Zhao and generalize Euclidean bounds by Cohn and Elkies. We work within the Bowen-Radi
Externí odkaz:
http://arxiv.org/abs/2411.07139