Esferas hiperoctaédricas centralmente simétricas

Esferas hiperoctaédricas centralmente simétricas

A class Rn of central n-dimensional 2n-topes named Bn and norms F are coined so that the closed spheres with respect to F are polytopes Bn. Conversely, each Bn is* closed unitary sphere with respect to a norm F on Rn. In both cases F is the sum of n absolute values, so that F is a generalization o...

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Main Author: Luis Enrique Ruiz Hernández
Format: Article
Language:Spanish
Published: Universidad Industrial de Santander 1991-04-01
Series:Revista Integración
Online Access:https://revistas.uis.edu.co/index.php/revistaintegracion/article/view/1050
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spelling doaj-f9d0bf10f6ba4d99a19d77526a2c77982020-11-24T21:59:13ZspaUniversidad Industrial de SantanderRevista Integración0120-419X2145-84721991-04-0191Esferas hiperoctaédricas centralmente simétricasLuis Enrique Ruiz Hernández0Universidad Industrial De Santander A class Rn of central n-dimensional 2n-topes named Bn and norms F are coined so that the closed spheres with respect to F are polytopes Bn. Conversely, each Bn is* closed unitary sphere with respect to a norm F on Rn. In both cases F is the sum of n absolute values, so that F is a generalization of the norm inducing the taxi-cab metric. Particulary the cross polytope Bn belongs to Bn and B3 is just the family of the centrally symmetric solid octahedra. Bn is defined and characterized as a locus whose points satisfy a metric condition. https://revistas.uis.edu.co/index.php/revistaintegracion/article/view/1050
collection DOAJ
language Spanish
format Article
sources DOAJ
author Luis Enrique Ruiz Hernández
spellingShingle Luis Enrique Ruiz Hernández
Esferas hiperoctaédricas centralmente simétricas
Revista Integración
author_facet Luis Enrique Ruiz Hernández
author_sort Luis Enrique Ruiz Hernández
title Esferas hiperoctaédricas centralmente simétricas
title_short Esferas hiperoctaédricas centralmente simétricas
title_full Esferas hiperoctaédricas centralmente simétricas
title_fullStr Esferas hiperoctaédricas centralmente simétricas
title_full_unstemmed Esferas hiperoctaédricas centralmente simétricas
title_sort esferas hiperoctaédricas centralmente simétricas
publisher Universidad Industrial de Santander
series Revista Integración
issn 0120-419X
2145-8472
publishDate 1991-04-01
description A class Rn of central n-dimensional 2n-topes named Bn and norms F are coined so that the closed spheres with respect to F are polytopes Bn. Conversely, each Bn is* closed unitary sphere with respect to a norm F on Rn. In both cases F is the sum of n absolute values, so that F is a generalization of the norm inducing the taxi-cab metric. Particulary the cross polytope Bn belongs to Bn and B3 is just the family of the centrally symmetric solid octahedra. Bn is defined and characterized as a locus whose points satisfy a metric condition.
url https://revistas.uis.edu.co/index.php/revistaintegracion/article/view/1050
work_keys_str_mv AT luisenriqueruizhernandez esferashiperoctaedricascentralmentesimetricas
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