La forma hexagonal regular de las células de las abejas como solución de algunos problemas de óptimo
Wedi'i Gadw mewn:
| Awdur: | |
|---|---|
| Fformat: | artículo original |
| Statws: | Versión publicada |
| Dyddiad Cyhoeddi: | 1996 |
| Disgrifiad: | 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. |
| Gwlad: | Portal de Revistas UCR |
| Sefydliad: | Universidad de Costa Rica |
| Repositorio: | Portal de Revistas UCR |
| Iaith: | Español |
| OAI Identifier: | oai:archivo.portal.ucr.ac.cr:article/48047 |
| Mynediad Ar-lein: | https://archivo.revistas.ucr.ac.cr/index.php/matematica/article/view/48047 |
| Allweddair: | optimization honeycombs isogonal condition optimizaci´on panales de abejas condici´on isogonal |