2015/10/10 by Victor M. Buchstaber, Buchstaber, Victor M., Nickolai Erokhovets +1
Mathematics · #52B10 #90C57 #Combinatorics (math.CO) #FOS: Mathematics #Metric Geometry (math.MG) #math.CO #math.MG #msc:52B10 #msc:90C57
paper · pdf · doi:10.48550/arxiv.1510.02948
20 pages, 56 figures
arxiv created 2015/10/10 · arxiv updated 2015/10/13
We present an infinite series of operations on fullerenes generalizing the Endo-Kroto operation, such that each combinatorial fullerene is obtained from the dodecahedron by a sequence of such operations. We prove that these operations are invertible in the proper sense, and are compositions of (1;4,5)-, (1;5,5)-, (2,6;4,5)-, (2,6;5,5)-, (2,6;5,6)-, (2,7;5,5)-, and (2,7;5,6)-truncations, where each truncation increases the number of hexagons by one.