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Accelerated scattering of convex polyhedra
Author(s) -
Voytekhovsky Yury L.
Publication year - 2017
Publication title -
acta crystallographica section a
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.742
H-Index - 83
ISSN - 2053-2733
DOI - 10.1107/s2053273317009196
Subject(s) - polyhedron , regular polygon , scattering , materials science , combinatorics , mathematics , geometry , physics , optics
The formulas for the minimum (min n ) and maximum (max n ) names in the classes of convex n ‐acra ( i.e . n ‐vertex polyhedra) are found for any n . The asymptotic behaviour (as n → ∞) for max n +1 /max n , min n +1 /min n , min n +1 /max n and max n /min n is established. They characterize in detail the accelerated scattering of [min n , max n ] ranges on a real line.