Experiments on the Random Packing of Tetrahedral Dice. Jaoshvili, A., Esakia, A., Porrati, M., & Chaikin, P., M. PHYSICAL REVIEW LETTERS, AMER PHYSICAL SOC, 5, 2010.
abstract   bibtex   
Tetrahedra may be the ultimate frustrating, disordered glass forming units. Our experiments on tetrahedral dice indicate the densest (volume fraction phi = 0.76 +/- .02, compared with phi(sphere) = 0.64), most disordered, experimental, random packing of any set of congruent convex objects to date. Analysis of MRI scans yield translational and orientational correlation functions which decay as soon as particles do not touch, much more rapidly than the similar to 6 diameters for sphere correlations to decay. Although there are only 6.3 +/- .5 touching neighbors on average, face-face and edge-face contacts provide enough additional constraints, 12 +/- 1.6 total, to roughly bring the structure to the isostatic limit for frictionless particles. Randomly jammed tetrahedra form a dense rigid highly uncorrelated material.
@article{
 title = {Experiments on the Random Packing of Tetrahedral Dice},
 type = {article},
 year = {2010},
 identifiers = {[object Object]},
 volume = {104},
 month = {5},
 publisher = {AMER PHYSICAL SOC},
 city = {ONE PHYSICS ELLIPSE, COLLEGE PK, MD 20740-3844 USA},
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 abstract = {Tetrahedra may be the ultimate frustrating, disordered glass forming
units. Our experiments on tetrahedral dice indicate the densest (volume
fraction phi = 0.76 +/- .02, compared with phi(sphere) = 0.64), most
disordered, experimental, random packing of any set of congruent convex
objects to date. Analysis of MRI scans yield translational and
orientational correlation functions which decay as soon as particles do
not touch, much more rapidly than the similar to 6 diameters for sphere
correlations to decay. Although there are only 6.3 +/- .5 touching
neighbors on average, face-face and edge-face contacts provide enough
additional constraints, 12 +/- 1.6 total, to roughly bring the structure
to the isostatic limit for frictionless particles. Randomly jammed
tetrahedra form a dense rigid highly uncorrelated material.},
 bibtype = {article},
 author = {Jaoshvili, Alexander and Esakia, Andria and Porrati, Massimo and Chaikin, Paul M},
 journal = {PHYSICAL REVIEW LETTERS},
 number = {18}
}
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