Unequal sphere packing
When the second sphere is much smaller than the first, it is possible to arrange the large spheres in a close-packed arrangement, and then arrange the small spheres within the octahedral and tetrahedral gaps.
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Given a set of unequal spheres and a poly- tope, the double goal is to assemble the spheres in such a way that. (i) they do not overlap with each other and (ii) ...
We propose a new solution method based on a combination of a branch-and-bound approach and the known local optimization method.
Feb 9, 2021 · I want to change the packing density to something more like 0.55, maybe even lower. Could this be done by using different sized dissolvable beads?
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Packing irregular objects composed by generalized spheres is considered. A generalized sphere is defined by an arbitrary norm.
Jul 3, 2012 · Unequal sphere packing is fascinating and has been examined extensively. ... Another search term is "mixed sphere packing," also "multi-sized ...
Apr 30, 2024 · Four mathematicians broke a 75-year-old record by finding a denser way to pack high-dimensional spheres.
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Sphere packing is the problem of arranging non-overlapping spheres within some space, with the goal of maximizing the combined volume of the spheres.
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May 27, 2016 · The paper considers an optimization problem of packing different solid spheres into containers of the following types: a cuboid, a sphere, ...
We employ the Monte Carlo method to study a constrained optimization problem — packing hard spheres with unequal radii (r2 > r1) into a 3D bounded region ...