Acta Crystallographica Section A

Foundations of Crystallography

Volume 57, Part 4 (July 2001)

short communications

Acta Cryst. (2001). A57, 475-477 [ doi:10.1107/S010876730100633X ]

The Fedorov algorithm revised

Y. L. Voytekhovsky

Abstract: All the simple 12- to 20-hedra with no triangular and quadrilateral facets (118 in common) are calculated in the Schlegel projections. Among them, all the fullerenes with 20 to 36 vertices (35 in common) are found. Thus, the [gamma] operation is eliminated from the Fedorov algorithm up to a 21-hedra generating procedure.

Keywords: Fedorov algorithm; Schlegel projections; fullerenes.