Croatica Chemica Acta, Vol. 79 No. 3, 2006.
Original scientific paper
Generalized Operations on Maps
Mircea V. Diudea
Monica Stefu
Peter E. John
Ante Graovac
Abstract
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.
Keywords
operations on maps; fullerenes; perfect Clar structures; perfect Corannulenic structures; negatively curved units
Hrčak ID:
5627
URI
Publication date:
12.11.2006.
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