Spiral codes and Goldberg representations of icosahedral fullerenes and octahedral analogues

Authors
Fowler, PW Rogers, KM
Citation
Pw. Fowler et Km. Rogers, Spiral codes and Goldberg representations of icosahedral fullerenes and octahedral analogues, J CHEM INF, 41(1), 2001, pp. 108-111
Citations number
20
Categorie Soggetti
Chemistry
Journal title
JOURNAL OF CHEMICAL INFORMATION AND COMPUTER SCIENCES
ISSN journal
00952338 → ACNP
Volume
41
Issue
1
Year of publication
2001
Pages
108 - 111
Database
ISI
SICI code
0095-2338(200101/02)41:1<108:SCAGRO>2.0.ZU;2-#
Abstract
An icosahedral fullerene may be considered as a tessellation of the sphere specified by an ordered pair of integers, or as a tightly wound spiral of f aces. Explicit analytical relations for interconverting the two representat ions are given, enabling the canonical spiral code to be constructed for an icosahedral fullerene of any size. Analogous relations hold for the octahe dral square + hexagon polyhedra that have been mentioned as possible candid ates for boron-nitride "fullerenes".