Effect of dimensionality on the percolation threshold of overlapping nonspherical hyperparticles

Mathematics

• Scaling Relations 100%
• Percolation Threshold 97%
• Overlapping 70%
• Dimensionality 67%
• Continuum Percolation 51%
• Hypersphere 43%
• Platonic solid 25%
• Lower bound 22%
• Surface area 20%
• Affine transformation 18%
• Mean Curvature 16%
• Polygon 15%
• High-dimensional 13%
• Euclidean space 13%
• Radius 13%
• Explicit Formula 13%
• Trivial 13%
• Upper bound 10%
• Demonstrate 10%
• Arbitrary 8%
• Zero 8%
• Generalization 8%
• Estimate 7%
• Model 5%

Physics & Astronomy

• hyperspheres 53%
• scaling 46%
• thresholds 40%
• continuums 24%
• Euclidean geometry 21%
• polygons 20%
• exclusion 18%
• curvature 12%
• radii 10%
• estimates 9%