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Each branch carries 3 branches (here 90° and 60°). The fractal dimension of the entire tree is the fractal dimension of the terminal branches. NB: the 2-branches tree has a fractal dimension of only 1. 1.5850: Sierpinski triangle: Also the limiting shape of Pascal's triangle modulo 2.
Fractal art is a form of algorithmic art created by calculating fractal objects and representing the calculation results as still digital images, animations, and media. Fractal art developed from the mid-1980s onwards. [ 2 ]
There are many fractal generating programs available, both free and commercial. Mobile apps are available to play or tinker with fractals. Some programmers create fractal software for themselves because of the novelty and because of the challenge in understanding the related mathematics.
Creature House Expression was an award-winning vector graphics editor developed by Creature House in Hong Kong, founded by Alex S.C. Hsu and Irene H. H. Lee.It was initially marketed through a developer/publisher agreement with Ray Dream Inc. subsequently Fractal Design Corporation and later MetaCreations under the trade name Fractal Design Expression.
Fractal Design is a Swedish computer hardware manufacturer. Founded in 2007, the company manufactures computer cases , water coolers, case fans , and power supplies . In recent years the company's products have won several awards in computer hardware industry such as the Case Manufacturer of the Year (2013–2015), European Hardware Awards ...
Pietronero argues that the universe shows a definite fractal aspect over a fairly wide range of scale, with a fractal dimension of about 2. [3] The fractal dimension of a homogeneous 3D object would be 3, and 2 for a homogeneous surface, whilst the fractal dimension for a fractal surface is between 2 and 3.
A simple fractal tree A fractal "tree" to eleven iterations. The word "fractal" often has different connotations for mathematicians and the general public, where the public is more likely to be familiar with fractal art than the mathematical concept. The mathematical concept is difficult to define formally, even for mathematicians, but key ...
Ultra Fractal is a fractal generation and rendering software application. The program was the first publicly available fractal software which featured layering methods previously only found in image editing software. [1] Because of this, the program has become popular for use in the creation of fractal art.