2011Zeitschrift für KristallographieRequires access

New polyhedra – Part 3

Sten Andersson

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Abstract

Abstract We describe generalized polyhedra of icosahedron type with analytic mathematics (exponential summation method) using the ordinary (Platon and Archimedes) polyhedra and their interpenetrations (mixed polyhedra). To this we add the Hardy devation for enhancing the topology within each structure type. The findings are compared with the structures of some viruses.

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Abstract We describe generalized polyhedra of icosahedron type with analytic mathematics (exponential summation method) using the ordinary (Platon and Archimedes) polyhedra and their interpenetrations (mixed polyhedra). To this we add the Hardy devation for enhancing the topology within each structure type. The findings are compared with the structures of some viruses.

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Available abstract

Abstract We describe generalized polyhedra of icosahedron type with analytic mathematics (exponential summation method) using the ordinary (Platon and Archimedes) polyhedra and their interpenetrations (mixed polyhedra). To this we add the Hardy devation for enhancing the topology within each structure type. The findings are compared with the structures of some viruses.

Key concepts: Polyhedron, Type (biology), Mathematics, Topology (electrical circuits), Pure mathematics, Combinatorics, Geology, Paleontology

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