Polyhedra of absolute values for triples of linear forms

In the preprint ‘The correct generalization of the continued fraction’ by A. D. Bruno (No. 86/2003) there were proposed to a set of three homogenous linear forms to put in correspondence two polyhedral surfaces in the space of absolute values of these forms. The generalization of the continued fraction algorithm is a motion along vertices of one of these surfaces. Here in pictures we give results of computation of the surfaces for eleven cubic forms being products of three linear forms. They show periodic structures and confirm the correctness of the generalized algorithm.