ABOUT COLOURING OF POLYHEDRA AND THE PETROGRAPHICAL TEXTURES

摘要

Results of the combinatorial convex polyhedra theory have been used to analyse the textures of rocks. Taking into consideration the curvihedrial "Coxeter's unit", as a base of an equilibrial petrographic texture, the rocks have been classified into "noncoxeter" and "strongly noncoxeter" groups in respect to their specific intergrain relations. An equation system is suggested to connect up the probabilities of various colour faces, edges and vertices within the noncoxeter textures. This system is, basically, analogous to the well known Dehn-Sommer will minimal system deduced for simple polyhedra.