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This result implies that finding the maximum FI translates directly into finding the lattice with the highest packing ratio.
We find that the resolution of a grid module is related to the packing ratio of L —the lattice with highest packing ratio corresponds to the grid module with highest resolution.
DOI: http://dx.doi.org/10.7554/eLife.05979.005 We now come to the main finding of this study: among grid modules with different lattices, the lattice with the highest packing ratio leads to the highest spatial resolution.
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Only in recent years has it been proven that no other arrangement has a higher packing ratio than the F C C, a problem known as Kepler's conjecture (Hales, 2005, 2012).
These suggest that fiber architecture involves both zigzag and bent linker motifs, and that such heteromorphic structures facilitate the observed high packing ratios.
Face centered cubic (FCC) or hexagonal close packing (HCP) generates the highest packing density, π/3√2 = 0.74.
The optimal lattices are thus the ones with the highest packing ratio the densest lattices represent space most accurately.
Packing ratio example: paternal signal ∼4 µm: 266.4 µmin µmin = 66.6 1 packing ratio (1.7×more compact then a 30 nm fiber) (40).
This packing has the same packing ratio as the F C C, but is not a lattice.
w/c ratio ≤0.4 is preferred to improve strength and durability of concrete with RA Effect of SCM and high packing density on strength and durability of concrete with RA need to be investigated.
High packing density which requires small installations.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com