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Her best packing easily eclipsed what Dr. Conway and Dr. Torquato had found, with a packing density of almost 78 percent, surpassing spheres.
The best packing constrained the eight heads per crown within a compact crown shelf projecting at ∼90° to the filament axis.
With tetrahedrons, the best packing arrangement is not obvious, and after it was pointed out that tetrahedrons did not pack perfectly, it seemed that they did not pack very well at all.
It is also puzzling to researchers why the tetrahedrons in Dr. Glotzer's simulations tend to the complex quasicrystal structures if the best packing is actually a much simpler structure.
In 2006, two Princeton University researchers, Salvatore Torquato, a chemist, and John H. Conway, a mathematician, reported that the best packing they could find filled less than 72 percent of the space — packing more loosely than spheres.
By analogy, consider that the best packing of circles in two dimensions is the hexagonal, because if you connect the dots of the centres of any six circles surrounding a central circle (pennies on a table, say), these central dots connect to form hexagons.
Similar(52)
A similar conundrum for how to best pack identical spheres has a more storied history.
It has helped England that their best pack is now emerging.
It was Bell at his best: packed with personal insight, stylish and emotional.
Are they due a resurgence or best packed off to friendlier homes?
I'm not sure whether they are the best pack in the game.
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CEO of Professional Science Editing for Scientists @ prosciediting.com