The collection includes articles by foreign mathematicians and fractalist artists, many of whom are well known in scientific and artistic circles. The problems of the book are related to the philosophical and aesthetic meanings of fractal art, which is a special artistic phenomenon of the late XX - early XXI centuries. The selection of articles is an attempt to look at digital fractal art from several angles: mathematical, technological, aesthetic and philosophical. Most texts are not of a special mathematical nature and, rather, belong to the field of digital humanities (digital humanities).