Esferas dodecaédricas rómbicas afines

Esferas dodecaédricas rómbicas afines

  Norms Ф are constructed on R3 so that their closed spheres are affine rhombic dodecahedrons D (images of rhombic dodecahedron under an affine automorphism of R3). Conversely, each closed solid D is a unitary sphere with respect to a norm Ф on R3. In both cases Ф is the maximun of six absolu...

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Main Author: Luis Enrique Ruiz Hernández
Format: Article
Language:Spanish
Published: Universidad Industrial de Santander 1993-01-01
Series:Revista Integración
Online Access:https://revistas.uis.edu.co/index.php/revistaintegracion/article/view/1037
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spelling doaj-35d6beba1bc043d1a89ed6b16c87100b2020-11-25T00:34:53ZspaUniversidad Industrial de SantanderRevista Integración0120-419X2145-84721993-01-01111Esferas dodecaédricas rómbicas afinesLuis Enrique Ruiz Hernández0Universidad Industrial De Santander   Norms Ф are constructed on R3 so that their closed spheres are affine rhombic dodecahedrons D (images of rhombic dodecahedron under an affine automorphism of R3). Conversely, each closed solid D is a unitary sphere with respect to a norm Ф on R3. In both cases Ф is the maximun of six absolute values. This norm yields, in addition to a unified representation, a characterization of the points of the rhombic dodecahedron in terms of the diagonals of the cuboctahedron through its center. https://revistas.uis.edu.co/index.php/revistaintegracion/article/view/1037
collection DOAJ
language Spanish
format Article
sources DOAJ
author Luis Enrique Ruiz Hernández
spellingShingle Luis Enrique Ruiz Hernández
Esferas dodecaédricas rómbicas afines
Revista Integración
author_facet Luis Enrique Ruiz Hernández
author_sort Luis Enrique Ruiz Hernández
title Esferas dodecaédricas rómbicas afines
title_short Esferas dodecaédricas rómbicas afines
title_full Esferas dodecaédricas rómbicas afines
title_fullStr Esferas dodecaédricas rómbicas afines
title_full_unstemmed Esferas dodecaédricas rómbicas afines
title_sort esferas dodecaédricas rómbicas afines
publisher Universidad Industrial de Santander
series Revista Integración
issn 0120-419X
2145-8472
publishDate 1993-01-01
description   Norms Ф are constructed on R3 so that their closed spheres are affine rhombic dodecahedrons D (images of rhombic dodecahedron under an affine automorphism of R3). Conversely, each closed solid D is a unitary sphere with respect to a norm Ф on R3. In both cases Ф is the maximun of six absolute values. This norm yields, in addition to a unified representation, a characterization of the points of the rhombic dodecahedron in terms of the diagonals of the cuboctahedron through its center.
url https://revistas.uis.edu.co/index.php/revistaintegracion/article/view/1037
work_keys_str_mv AT luisenriqueruizhernandez esferasdodecaedricasrombicasafines
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