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JOURNALS // Dal'nevostochnyi Matematicheskii Zhurnal // Archive

Dal'nevost. Mat. Zh., 2015 Volume 15, Number 2, Pages 247–263 (Mi dvmg313)

Construction of fullerenes with the number of hexagons no more than 7

N. V. Prudnikova

Lomonosov Moscow State University

Abstract: This papper devoted to the constructions of fullerenes that have at most 7 hexagons. We consider the sequences of operations, which give an opportunity to obtain the fullerenes from cube and dodecahedron.

Key words: fullerenes, $(s,k)$-truncation, Endo–Kroto operation.

UDC: 517.5

MSC: Primary 30A10; Secondary 30C10, 30C15

Received: 30.10.2015



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