The mathematical formula for fractals was derived by French mathematician Benoit Mandelbrot in 1975, giving it a visual identity. The Mandelbrot set is the most perfect of all fractals. When its parts are magnified, the same shapes reappear infinitely—it possesses the property of self-similarity.
The healing power of fractals is attributed to their shape, color, and structure. With their colors and shapes, fractals emit vibrations that, based on the principles of harmonic resonance, evoke feelings of harmony, peace, and beauty within us. Fractals are all around us, not only in the form and appearance of the things that surround us, but also at the very core of various phenomena, in functions that describe simpler and more complex systems and processes. Natural forms where we recognize fractals to a certain extent include clouds in the sky, mountain ranges, lightning, coastlines, rivers, snowflakes, but also some plants and animals, as well as our cells. By drawing fractals, we draw ourselves as part of a greater whole.

Through drawing integrative fractal drawings according to specific guidelines, the connection between verbal and non-verbal, as well as the left and right hemispheres of the brain, is strengthened. With the help of lines and colors, we consciously influence changes in the nervous structure. Through colors, we communicate ourselves and understand the signals that the environment sends us through them. In our school, colors are given a special place because their impact on us is based on the frequencies they emit. IFC, in addition to providing a clear picture of the person's current state, offers the possibility of fundamental personal transformation and the release of deeply hidden blockages and fears, which we are often unaware of. IFC also contributes to the development of personal potentials and talents. IFC is based on the knowledge and experience of the Fractal Drawing Method (MFC) by Russian author Tanzilia Z. Poluyakhtova.