Titlebook: Lectures on Sphere Arrangements – the Discrete Geometric Side; Károly Bezdek Book 2013 Springer International Publishing Switzerland 2013

hematuria

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Book 2013ometric research on sphere arrangements. The readership is aimed at advanced undergraduate and early graduate students, as well as interested researchers. It contains more than 40 open research problems ideal for graduate students and researchers in mathematics and computer science. Additionally, th

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Proofs on Unit Sphere Packings,ng a unit ball. On the one hand, it leads to a new version of the Kepler problem on unit sphere packings on the other hand, it generates a new relative of Kelvin’s foam problem. Finally, we find sufficient conditions for sphere packings being uniformly stable, a property that holds for all densest lattice sphere packings up to dimension 8.

凹处

Proofs on Ball-Polyhedra and Spindle Convex Bodies,olyhedra in Euclidean .-space. Finally, we give a proof of the long-standing Boltyanski-Hadwiger illumination conjecture for fat spindle convex bodies in Euclidean dimensions greater than or equal to 15.

objection

1069-5273 tics and computer science.Acts as a short introduction to im.This monograph gives a short introduction to the relevant modern parts of discrete geometry, in addition to leading the reader to the frontiers of geometric research on sphere arrangements. The readership is aimed at advanced undergraduate

Femine

Unit Sphere Packings,(studying Voronoi cells from volumetric point of view), dense sphere packings in Euclidean 3-space (studying a strong version of the Kepler conjecture), sphere packings in Euclidean dimensions higher than 3, and uniformly stable sphere packings.

Cardioplegia

Ball-Polyhedra and Spindle Convex Bodies, more details, is on global and local rigidity of ball-polyhedra in Euclidean 3-space. Finally, we investigate the status of the long-standing illumination conjecture of V. G. Boltyanski and H. Hadwiger from 1960 for ball-polyhedra (resp., spindle convex bodies) in Euclidean .-space.

prolate

Book 2013ere packings and tilings have a very strong connection to number theory, coding, groups, and mathematical programming. Extending the tradition of studying packings of spheres, is the investigation of the monotonicity of volume under contractions of arbitrary arrangements of spheres. The third major

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1069-5273 nd mathematical programming. Extending the tradition of studying packings of spheres, is the investigation of the monotonicity of volume under contractions of arbitrary arrangements of spheres. The third major 978-1-4939-0032-9978-1-4614-8118-8Series ISSN 1069-5273 Series E-ISSN 2194-3079

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