La forma hexagonal regular de las células de las abejas como solución de algunos problemas de óptimo

 

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Bibliografische gegevens
Auteur: Muntean, Ioan
Formaat: artículo original
Status:Versión publicada
Publicatiedatum:1996
Omschrijving:Wax compression and honeycomb resistance, and some other hypothesis as well (elimination of empty spaces between cylindrical cells and approximate emulation of bees bodies) drive to the first optimization problem: among all polygons with n ≥ 3 sides circumscribed into a circle with a given radius, determine the polygon P ∗ n with the smallest perimeter. This extrema problem with an isogonal condition is solved with a Lagrange multipliers method. It is proven that P ∗ n is a regular polygon and n ∈ {3, 4, 6}. Finally, another minimum problem drives to n = 6.
Land:Portal de Revistas UCR
Instelling:Universidad de Costa Rica
Repositorio:Portal de Revistas UCR
Taal:Español
OAI Identifier:oai:portal.ucr.ac.cr:article/48047
Online toegang:https://revistas.ucr.ac.cr/index.php/matematica/article/view/48047
Keyword:optimization
honeycombs
isogonal condition
optimizaci´on
panales de abejas
condici´on isogonal