Revista Integración, temas de matemáticas.
Vol. 11 No. 1 (1993): Revista Integración, temas de matemáticas
Research and Innovation Articles

Esferas dodecaédricas rómbicas afines

Luis Enrique Ruiz Hernández
Universidad Industrial De Santander

Published 1993-01-21

How to Cite

Ruiz Hernández, L. E. (1993). Esferas dodecaédricas rómbicas afines. Revista Integración, Temas De matemáticas, 11(1), 39–54. Retrieved from https://revistas.uis.edu.co/index.php/revistaintegracion/article/view/1037

Abstract

 

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.

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