Packing squares in a torus (original) (raw)

On 2D packings of cubes in the torus

Ian Sloan

Proceedings of the American Mathematical Society, 1997

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New Results on Torus Cube Packings and Tilings

Mathieu Dutour Sikiric

Труды математического института им. Стеклова, 2015

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Improved Dense Packings of Congruent Squares in a Square

Philippe Ryckelynck

Discrete & Computational Geometry, 2004

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Further lattice packings in high dimensions

Arie Bos

Mathematika, 1982

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Locally Optimal 2-Periodic Sphere Packings

Alexei Andreanov

Discrete & Computational Geometry, 2019

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Combinatorial cube packings in the cube and the torus

Mathieu Dutour Sikiric

European Journal of Combinatorics, 2010

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Packing of Circles on Square Flat Torus as Global Optimization of Mixed Integer Nonlinear problem

Vladimir Voloshinov

ArXiv, 2018

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Random perfect lattices and the sphere packing problem

Alexei Andreanov

Physical Review E, 2012

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Combinatorial cube packings in cube and torus

Mathieu Dutour Sikiric

2008

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Lattice Packings with Gap Defects are not Completely Saturated Dedicated to the memory of Bernulf Weißbach

Wlodzimierz Kuperberg

2003

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Regular Packings on Periodic Lattices

Rolf Schilling

Physical Review Letters, 2011

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Analytical constructions of a family of dense tetrahedron packings and the role of symmetry

Yang Jiao

Arxiv preprint arXiv:0912.4210, 2009

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From normal tilings to Voronoi tilings of sphere packings in Euclidean 3-space

K. Bezdek

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Rigorous packing of unit squares into a circle

Mihály Csaba Markót

Journal of Global Optimization

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Weighted packing of the infinite grid Z^2

Sylvain Gravier

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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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Random Lattices and Random Sphere Packings: Typical Properties

Senya Shlosman

Moscow Mathematical Journal

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Exact constructions of a family of dense periodic packings of tetrahedra

Yang Jiao

Physical Review E, 2010

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Robust algorithm to generate a diverse class of dense disordered and ordered sphere packings via linear programming

Yang Jiao

2010

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Dense packings of the Platonic and Archimedean solids

Yang Jiao

Nature, 2009

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Analysis of Some Combinatorial Properties of a 2D Torus

Gennady Veselovsky

2008

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Dense packings of polyhedra: Platonic and Archimedean solids

Yang Jiao

Physical Review E, 2009

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Rectangular Body-centered Cuboid Packing Lattices and Their Possible Applications

Xiqiang Zheng

Journal of Computer Science Research, 2019

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What are all the best sphere packings in low dimensions?

Neil Sloane

Discrete & Computational Geometry, 1995

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Optimal packings of superballs

Yang Jiao

Physical Review E, 2009

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Cavity approach to sphere packing in Hamming space

A. Ramezanpour, Riccardo Zecchina

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Generalized Apollonian packings

Stephen Demko

Communications in Mathematical Physics, 1990

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A Short History of Packing Problems

denis weaire

2000

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New results in the packing of equal circles in a square

Panos M Pardalos

1995

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Lattice packings with gap defects are not completely saturated

Wlodzimierz Kuperberg

2003

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Quasi-random packing of tetrahedra

Weiwei Jin

Soft Matter, 2013

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Shapes of Delaunay Simplexes and Structural Analysis of Hard Sphere Packings

Nikolai Medvedev

Studies in Computational Intelligence, 2009

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Phase diagram and structural diversity of the densest binary sphere packings

Yang Jiao

2011

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Layered circle packings

Brock Williams

International Journal of Mathematics and Mathematical Sciences, 2005

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Uniqueness and Symmetry in Problems of Optimally Dense Packings

Lorenzo Sadun

2003

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