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Polyhedra. (Spanish. English summary) Zbl 1253.00005

Español, Luis (ed.) et al., Margarita mathematica en memoria de José Javier (Chicho) Guadalupe Hernández. Logroño: Universidad de la Rioja, Servicio de Publicaciones (ISBN 84-95301-56-3/hbk). 139-166 (2001).
Summary: We explore the presence of polyhedra in some areas of human activity. Taking as the starting point a reflection about the Platonic association of regular polyhedra to different cosmic elements, we have a look at the study and the use of polyhedra in art, science and technology. We emphasize some recent applications of polyhedral techniques to biological, chemical and physical processes. The symmetries, topological invariants and geometrical properties play an important role in phenomena such as virus replication, the study of molecular structures and properties of various substances.
For the entire collection see [Zbl 0983.00065].

MSC:

00A69 General applied mathematics
97K20 Combinatorics (educational aspects)
52-03 History of convex and discrete geometry
97M80 Arts, music, language, architecture (aspects of mathematics education)
52B99 Polytopes and polyhedra
92C40 Biochemistry, molecular biology
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