Dense packings of polyhedra: Platonic and archimedean solids

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%