Optimally Dense Packings of Hyperbolic Space
نویسندگان
چکیده
منابع مشابه
Optimally Dense Packings of Hyperbolic Space
In previous work a probabilistic approach to controlling difficulties of density in hyperbolic space led to a workable notion of optimal density for packings of bodies. In this paper we extend an ergodic theorem of Nevo to provide an appropriate notion of optimally dense packings. Examples are given to illustrate various aspects of the density problem. Subject Classification: 52A40, 52C26, 52C2...
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In previous work a probabilistic approach to controlling difficulties of density in hyperbolic space led to a workable notion of optimal density for packings of bodies. In this paper we extend an ergodic theorem of Nevo to provide an appropriate definition of those packings to be considered optimally dense. Examples are given to illustrate various aspects of the density problem, in particular t...
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This is a slightly expanded version of a talk given at the János Bolyai Conference on Hyperbolic Geometry, held in Budapest in July, 2002. The general subject of the talk was the densest packings of simple bodies, for instance spheres or polyhedra, in Euclidean or hyperbolic spaces, and describes recent joint work with Lewis Bowen. One of the main points was to report on our solution of the old...
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Packing problems have long been a topic of interest. Traditionally, efforts had been focused on Euclidean space, but as interest in hyperbolic space has grown, many of the Euclidean problems have been translated into the hyperbolic arena, in which the problems are almost always vastly more complicated. The particular packing problem of interest here is a hyperbolic version of packing congruent ...
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ژورنال
عنوان ژورنال: Geometriae Dedicata
سال: 2004
ISSN: 0046-5755
DOI: 10.1023/b:geom.0000022857.62695.15