The Packing of Spheres (original) (raw)

The Sphere-Packing Problem

Neil Sloane

Icm, 2002

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Packing non-equal spheres into containers of different shapes

Guntram Scheithauer, Георгий Яськов

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A Short History of Packing Problems

denis weaire

2000

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Densest Packings of Spheres

K. Bezdek

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A colloidal viewpoint on the sausage catastrophe and the finite sphere packing problem

Marjolein Dijkstra

Nature Communications, 2023

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What are all the best sphere packings in low dimensions?

Neil Sloane

Discrete & Computational Geometry, 1995

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New sphere packings in dimensions 9-15

Neil Sloane

Bulletin of the American Mathematical Society

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Book Review: Dense sphere packings: a blueprint for formal proofs

Jeffrey Lagarias

Bulletin of the American Mathematical Society, 2015

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How dense can one pack spheres of arbitrary size distribution

Saulo D. S. Reis

2011

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Sphere Packings and Error-Correcting Codes

Saul-Paul Sirag

Canadian Journal of Mathematics, 1971

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Sphere Packing: Asymptotic Behavior and Existence of Solution

Marcelo Firer

2000

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Dense packings of spheres in cylinders: Simulations

denis weaire

Physical Review E, 2012

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Contact graphs of unit sphere packings revisited

Károly Bezdek

Journal of Geometry, 2013

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Sphere Packing and Error-Correcting Codes

Neil Sloane

Grundlehren der mathematischen Wissenschaften, 1999

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Producing dense packings of cubes

Philippe Ryckelynck

Discrete Mathematics, 2008

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New High-Density Packings of Similarly Sized Binary Spheres

Patrick O'Toole

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On a Special Arrangement of Spheres

hiroshi maehara

2003

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Loose-rigid transition in 3d packing of spheres

marcelo gomes

Physica A: Statistical Mechanics and its Applications, 1999

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Optimal Arrangements in Packing Congruent Balls in a Spherical Container

Wlodzimierz Kuperberg

Discrete & Computational Geometry, 2007

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Statistical Analysis of Simulated Random Packings of Spheres

Monika Bargiel

Particle & Particle Systems Characterization, 2002

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Multi-Sized Sphere Packings: Models and Recent Approaches

Frank Werner

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Structural Characteristics of a Small Group of Fixed Particles and the Maximum Density of a Random Packing of Hard Spheres

Alexey Shubin

Structural Characteristics of a Small Group of Fixed Particles and the Maximum Density of a Random Packing of Hard Spheres, 2021

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Contact Numbers for Sphere Packings

Károly Bezdek

Bolyai Society Mathematical Studies, 2018

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Tables of sphere packings and spherical codes

Neil Sloane

IEEE Transactions on Information Theory, 1981

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Finite and Uniform Stability of Sphere Packings

Károly Bezdek

Discrete & Computational Geometry, 1998

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Delaunay simplex analysis of the structure of equal sized sphere packings

T. Di Matteo

World Scientific Lecture Notes in Complex Systems, 2007

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A Lower Bound on the Density of Sphere Packings via Graph Theory

Simon Litsyn

International Mathematics Research Notices

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Caging of a d-dimensional sphere and its relevance for the random dense sphere packing

Albert Philipse

Physical Review E, 2001

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New Bounds for Multiple Packings of Eu-clidean Sphere

Blinovsky Vladimir, Simon Litsyn

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JAMS 1 Sphere Packing: asymptotic behavior and existence of solution

Marcelo Firer

2003

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Gravity Packing of Same Size Spheres and Investigation of Wall Ordering

Dr. Kisor Kumar Sahu

International Journal of Chemical Reactor Engineering, 2009

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Contact Numbers for Congruent Sphere Packings in Euclidean 3-Space

Károly Bezdek

Discrete & Computational Geometry, 2012

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