Artistic Fractal Patterns
نویسندگان
چکیده
We describe a flexible algorithm that can create many different kinds of aesthetic fractal patterns. The main idea of the algorithm is to randomly place progressively smaller copies of a motif within a region, thus producing a fractal pattern. This has been found to work for a wide variety of shapes for both the motif and the enclosing region. We show a several examples. If the region is a fundamental region for one of the 17 “wallpaper” groups, the pattern can be extended by applying transformations from that group, giving patterns that are locally random, but have global symmetries. We also show examples of this kind of pattern.
منابع مشابه
Fractal Wallpaper Patterns
In the past we presented an algorithm that can fill a region with an infinite sequence of randomly placed and progressively smaller shapes, producing a fractal pattern. In this paper we extend that algorithm to fill rectangles and triangles that tile the plane, which yields wallpaper patterns that are locally fractal in nature. This produces artistic patterns which have a pleasing combination o...
متن کاملArtistic Patterns: from Randomness to Symmetry
We present an algorithm that can create a wide variety of artistic fractal patterns. The algorithm contains a parameter, c, that can be used to control the amount of perceived symmetry a patterns has, from completely random (for small c) to quite symmetric (for c near its upper limit). We describe the algorithm and present sequences of patterns in the spectrum from random to symmetric. As an ex...
متن کاملReduction of Physiological Stress Using Fractal Art and Architecture
The author reviews visual perception studies showing that fractal patterns possess an aesthetic quality based on their visual complexity. Specifically, people display an aesthetic preference for patterns with mid-range fractal dimensions, irrespective of the method used to generate them. The author builds upon these studies by presenting preliminary research indicating that mid-range fractals a...
متن کاملRepeating Fractal Patterns with 4-Fold Symmetry
Previously we described an algorithm that can fill a region with an infinite sequence of randomly placed and progressively smaller shapes, producing a fractal pattern. If the algorithm is appropriately modified and the region is a fundamental region for one of the 17 “wallpaper” groups, one can obtain a fractal pattern with that symmetry group. This produces artistic patterns which have a pleas...
متن کاملFractals: A Resonance between Art and Nature
The discovery of fractal patterns was an interesting advance in the understanding of nature [1, 2]. Since the 1970s many natural scenes have been shown to be composed of fractal patterns. Examples include coastlines, clouds, lightning, trees, rivers and mountains. Fractal patterns are referred to as a new geometry because they look nothing like the more traditional shapes such as triangles and ...
متن کامل