In simulation computer systems for large scientific and technical projects a computing core (set of numerical tools), environment of realization and simulation control are frequently considered from positions general metrics-topological structure and immersing such structure into real type of computer system which structure also has the specificity. Observable methods convergence in such field is caused by using many fundamental notions and achievements of combinatorial topology, differential geometry, geometry of numbers, theory of groups and graph theory. The variant of through realization of such approach from mathematical models up to the numerical results received on tool system is considered in the paper.
Key words: integer points, prime edges, simplicial complexes, transforms of Rn and Zn on itself, translated polyhedrons, lattice fan, fan triangulation, equidistant graph, topological processor.