Fullerene and nanotube models in Bolyai - Lobachevsky hyperbolic geometry H3 on the 200th anniversary of its discovery

Abstract

The Archimedean solid (5, 6, 6), where regular pentagon, hexagon and hexagon surround each vertex, so altogether 60 vertices (with carbon atoms for C60 fullerene). 12 pentagons and 20 hexagons bound this football polyhedron,