The paper contains results of precise evaluation of cube-linear relation for three-dimensional fractal curves of eight's kind. Besides pure numbers paper contains theoretical part and description of evaluation algorithm. Within this research a C++ program was written. It uses MPI library and machine MVS-express was used for calculations. Also problems of memory and cache use are described, along with solutions. As a result of research precise numbers were calculated for each curve from the presented class. The characteristics of the curve with the optimal locality were observed. The new method of encoding of the fractal curves has been proposed as well.

fractals, Peano curves, MPI library, MVS-express

Mathematical problems and theory of numerical methods