Fraction of a space filled by objects packed into that space
A packing density or packing fraction of a packing in some space is the fraction of the space filled by the figures making up the packing. In simplest terms, this is the ratio of the volume of bodies in a space to the volume of the space itself. In packing problems, the objective is usually to obtain a packing of the greatest possible density.
A packingdensity or packing fraction of a packing in some space is the fraction of the space filled by the figures making up the packing. In simplest...
space filled by the spheres is called the packingdensity of the arrangement. As the local density of a packing in an infinite space can vary depending...
circle can be enlarged without creating an overlap. The associated packingdensity, η, of an arrangement is the proportion of the surface covered by the...
achieve a packingdensity greater than any smaller number > 1. (Higher density records all have rattles.) Disk covering problem Square packing in a circle...
double lattice packing of the Euclidean plane of packingdensity approximately 0.89269. This has been conjectured to be the lowest density possible for...
otherwise the optimal packingdensity of spheres could be surpassed by putting a sphere in each rhombicuboctahedron of the hypothetical packing which surpasses...
find the configuration that packs a single container with the maximal packingdensity. More commonly, the aim is to pack all the objects into as few containers...
In crystallography, atomic packing factor (APF), packing efficiency, or packing fraction is the fraction of volume in a crystal structure that is occupied...
Packing fraction may refer to: Packingdensity, the fraction of the space filled by objects comprising the packing Atomic packing factor, the fraction...
otherwise the optimal packingdensity of spheres could be surpassed by putting a sphere in each rhombicuboctahedron of the hypothetical packing which surpasses...
close-packed density for this particular procedure of packing. The random close packing is the highest possible volume fraction out of all possible packing procedures...
is only one nontrivial packingdensity. Walter Stromquist (unpublished) settled this case by showing that the packingdensity of 132 is 2√3 − 3, approximately...
sphere packing in three-dimensional Euclidean space. It states that no arrangement of equally sized spheres filling space has a greater average density than...
eyes. AOSLO has also revealed significant decreases in foveal cone packingdensity for myopic eyes in comparison to emmetriopic eyes. This difference...
Reinhardt in 1934 and conjectured by him to have the lowest maximum packingdensity of the plane of all centrally symmetric convex shapes. It was also...
Density (volumetric mass density or specific mass) is a substance's mass per unit of volume. The symbol most often used for density is ρ (the lower case...
disordered packing at densities exceeding 78%. For a periodic approximant to a quasicrystal with an 82-tetrahedron unit cell, they obtained a packingdensity as...
Circle packing in a square is a packing problem in recreational mathematics, where the aim is to pack n unit circles into the smallest possible square...
head size. Furthermore, bird brains have two-to-four times the neuron packingdensity of mammal brains, for higher overall efficiency. The visual and auditory...
aneurysms by limiting blood circulation to the aneurysm space. Clinically, packingdensity is recommended to be 20-30% or more of the aneurysm's volume, typically...
three-dimensional equivalent of the circle packing in a circle problem in two dimensions. Best packing of m>1 equal spheres in a sphere setting a new density record...
This number is a measure of the local packingdensity around a given residue. The influence of local packingdensity can be assessed by series expansion...
higher the packingdensity, the less empty space there is in the packing and thus the smaller the volume of the hull (in comparison to other packings with the...
nanoparticles. The methods differ by their ability to control particle packingdensity and layer thickness, ability to use different particles and the complexity...
923,} which is the density of one possible double lattice packing for these shapes. The best proven upper bound on the packingdensity is approximately...
Fig. 1) and also the number of cells per volume (Sholl, p. 401, The packingdensity of perikarya). While methods for estimating the number of cells have...
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