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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| Format: | Article |
| Language: | Spanish |
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Universidad Industrial de Santander
1993-01-01
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| Series: | Revista Integración |
| Online Access: | https://revistas.uis.edu.co/index.php/revistaintegracion/article/view/1037 |
| Summary: |
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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| ISSN: | 0120-419X 2145-8472 |