Periodic close packings of identical ellipses
نویسندگان
چکیده
منابع مشابه
Hypoconstrained Jammed Packings of Nonspherical Hard Particles: Ellipses and Ellipsoids
Aleksandar Donev, 2 Robert Connelly, Frank H. Stillinger, and Salvatore Torquato 2, 4, 5, ∗ Program in Applied and Computational Mathematics, Princeton University, Princeton NJ 08544 PRISM, Princeton University, Princeton NJ 08544 Department of Mathematics, Cornell University, Ithaca NY 14853 Department of Chemistry, Princeton University, Princeton NJ 08544 Princeton Center for Theoretical Phys...
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Several conditions are given when a packing of equal discs in a torus is locally maximally dense, where the torus is defined as the quotient of the plane by a two-dimensional lattice. Conjectures are presented that claim that the density of any collectively jammed packing, whose graph does not consist of all triangles, and the torus lattice is the standard triangular lattice, is at most (n/(n +...
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Aleksandar Donev, 2 Robert Connelly, Frank H. Stillinger, and Salvatore Torquato 2, 4, 5, ∗ Program in Applied and Computational Mathematics, Princeton University, Princeton NJ 08544 PRISM, Princeton University, Princeton NJ 08544 Department of Mathematics, Cornell University, Ithaca NY 14853 Department of Chemistry, Princeton University, Princeton NJ 08544 Princeton Center for Theoretical Phys...
متن کاملOptimal Packings of Two Ellipses in a Square
For each real number E in ]0, 1], we describe the densest packing PE of two non-overlapping congruent ellipses of aspect ratio E in a square. We find three different patterns as E belongs to ]0, 1/2], [1/2, E0] where E0 = √ (6 √ 3− 3)/11, and [E0, 1]. The technique of unavoidable sets – used by Friedman for proving the optimality of square packings – allows to prove the optimality of each packi...
متن کاملUnderconstrained jammed packings of nonspherical hard particles: ellipses and ellipsoids.
Continuing on recent computational and experimental work on jammed packings of hard ellipsoids [Donev, Science 303, 990 (2004)] we consider jamming in packings of smooth strictly convex nonspherical hard particles. We explain why an isocounting conjecture, which states that for large disordered jammed packings the average contact number per particle is twice the number of degrees of freedom per...
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ژورنال
عنوان ژورنال: Acta Crystallographica Section A Foundations of Crystallography
سال: 1993
ISSN: 0108-7673
DOI: 10.1107/s0108767378088583