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Generalized Operations on Maps

Mircea V. Diudea
Monica Stefu
Peter E. John
Ante Graovac


Puni tekst: engleski pdf 316 Kb

str. 355-362

preuzimanja: 757

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Sažetak

A map M is a combinatorial representation of a closed surface. Convex polyhedra, starting from the Platonic solids and going to spherical fullerenes, can be operated to obtain new objects, with a larger number of vertices and various tiling. Three composite map operations: leapfrog, chamfering and capra, play a central role in the fullerenes construction and their electronic properties. Generalization of the above operations leads to a series of transformations, characterized by distinct, successive pairs in the Goldberg multiplication formula m(a,b). Parents and products of most representative operations are illustrated.

Ključne riječi

operations on maps, fullerenes, perfect Clar structures, perfect Corannulenic structures, negatively curved units

Hrčak ID:

5627

URI

https://hrcak.srce.hr/5627

Posjeta: 1.194 *