Metallic cellular materials are effectively used in production of the cellular building construction, in aircraft building, in catalyser and filter production etc. Metallic bands are already used in production of different cellular constructions. Perforated metal materials such as steel bands are of the interest for cellular materials manufacturing. Application of perforated metal materials opens up new possibilities in the production of innovative materials and cellular structures. The main stage of the perforated design thinking is a development of mathematical model.