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In this paper computer and mathematical modeling with synergetic effects present one of the В«problem zonesВ» in mathematics concerned with the surface area of three-dimensional bodies. The main activity of students is to construct the multifaceted surfaces (for example, Schwartz cylinder (or "boot")) using computer and mathematical and adapt the most important generalized constructions of surface area to the actual positions of mathematical knowledge and fractal parameters. The computer design and mathematical mo...