Naslov
Fullerene-like spheres with faces of negative curvature

Autori
Deza, Michel ; Dutour Sikirić, Mathieu

Vrsta, podvrsta i kategorija rada
Poglavlja u knjigama, znanstveni

Knjiga
Diamond and related nanostructures

Urednik/ci
Diudea, Mircea ; Nagy, Csaba

Izdavač
Springer

Grad
Berlin

Godina
2013

Raspon stranica
251-274

ISBN
978-94-007-6371-5

Ključne riječi
planar graph, enumeration, curvature

Sažetak
Given a set R of integers, an (R, k)-sphere is a k- regular map on the sphere whose faces have gonalities i in R. The most interesting/useful are (geometric) fullerenes, i.e., ({;5, 6};, 3)-spheres. Call \kappa_i=1 + i/k - i/2 the curvature of i- gonal faces. $(R, k)$-spheres admitting kappa_i<0 are much harder to study. We consider the symmetries and construction for three new instances of such spheres: ({;a, b};, k)-spheres with p_b <= 3 (they are listed), icosahedrites (i.e., ({;3, 4};, 5)-spheres) and, for any c in N, fullerene c-disks, i.e., ({;5, 6, c};, 3)-spheres with p_c=1.

Izvorni jezik
Engleski

Znanstvena područja
Kemija

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