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Dense packings of polyhedra: Platonic and archimedean solids
S. Torquato
, Y. Jiao
Chemistry
Mechanical & Aerospace Engineering
Princeton Institute for the Science and Technology of Materials
Research output
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Contribution to journal
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Article
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peer-review
144
Scopus citations
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Dive into the research topics of 'Dense packings of polyhedra: Platonic and archimedean solids'. Together they form a unique fingerprint.
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Mathematics
Archimedean solid
100%
Platonic solid
89%
Packing
57%
Polyhedron
56%
Shrinking
6%
Cell
6%
Congruent
6%
Upper bound
5%
Truncated tetrahedron
5%
Antiprism
4%
Long-range Order
4%
Asphericity
4%
Circumradius
4%
Nanoparticles
4%
Inradius
4%
Optimization Problem
4%
Crystal Structure
4%
Octahedron
4%
Symmetry
4%
Analogue
3%
Prism
3%
Kepler
3%
Triangular pyramid
3%
Tile
3%
Ellipsoid
3%
Periodic Boundary Conditions
3%
Regular hexahedron
2%
High-dimensional
2%
Euclidean space
2%
Configuration
2%
Three-dimensional
2%
Simulation
1%
Term
1%
Generalization
1%
Physics & Astronomy
polyhedrons
71%
tetrahedrons
6%
cells
4%
analogs
4%
asphericity
4%
physical sciences
4%
optimization
3%
Euclidean geometry
3%
symmetry
3%
tiles
3%
ellipsoids
3%
octahedrons
3%
prisms
2%
crystal structure
2%
boundary conditions
2%
nanoparticles
1%
configurations
1%
simulation
1%