It is trendy nowadays to create ?art? using computer graphics. We face an enormous hyper-production of ?computer art? works spread all over the Internet sites. Many of them use fractal objects to produce ?art? in more automatic way. To the author?s opinion, only a very small percentage (about 0.5%) of these works contain some traces of art. Can we form some kind of criteria that can tell us which fractals convey some artistic values? Can we estimate these values somehow? Continuing the line of thinking from [Kocic], this article?s aim is to offer some reasonable answers.