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    STUDIA CHEMIA - Issue no. 2 / 2005  
         
  Article:   COMPOSITE OPERATIONS ON MAPS.

Authors:  MONICA ŞTEFU, MIRCEA V. DIUDEA, PETER E. JOHN.
 
       
         
  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 generated by applying some operations on maps. 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 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.  
         
     
         
         
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