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We consider angular diagrams describing the dependence of the magneticconductivity of metals on the direction of the magnetic field in rather strongfields. As it can be shown, all angular conductivity diagrams can be dividedinto a finite number of classes with different complexity. The greatestinterest among such diagrams is represented by diagrams with the maximalcomplexity, which can occur for metals with rather complicated Fermi surfaces.In describing the structure of complex diagrams, in addition to the descriptionof the conductivity itself, the description of the Hall conductivity fordifferent directions of the magnetic field plays very important role. For theevaluation of the complexity of angular diagrams of the conductivity of metals,it is convenient also to compare such diagrams with the full mathematicaldiagrams that are defined (formally) for the entire dispersion relation.

The complexity classes of angular diagrams of the metal conductivity in strong magnetic fields