3 years ago

Accelerated scattering of convex polyhedra

Accelerated scattering of convex polyhedra
Yury L. Voytekhovsky
The formulas for the minimum (minn) and maximum (maxn) names in the classes of convex n-acra (i.e. n-vertex polyhedra) are found for any n. The asymptotic behaviour (as n ∞) for maxn+1/maxn, minn+1/minn, minn+1/maxn and maxn/minn is established. They characterize in detail the accelerated scattering of [minn, maxn] ranges on a real line.The formulas for minn and maxn names in the classes of convex n-acra, as well as asymptotic relationships (as n ∞) between them, are found. These explain the distribution of [minn, maxn] ranges on the real line.

Publisher URL: http://onlinelibrary.wiley.com/resolve/doi

DOI: 10.1107/S2053273317009196

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