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L-Systems branching pattern having 4 new pieces scaled by 1/3. Generating the pattern using statistical instead of exact self-similarity yields the same fractal dimension. Calculated: 1.2683: Julia set z 2 − 1: Julia set of f(z) = z 2 − 1. [9] 1.3057: Apollonian gasket
Download as PDF; Printable version; In other projects ... This is a list of fractal topics, by Wikipedia page, See also list ... Scale-free network; Self-similarity;
The Fibonacci word fractal is a fractal curve ... By an iterated construction of 8 square patterns around each square pattern. ... leaves at the center a free square ...
Download as PDF; Printable version; ... Fractals are self-similar geometric objects ... Subcategories. This category has the following 6 subcategories, out of 6 total. C.
The Koch snowflake (also known as the Koch curve, Koch star, or Koch island [1] [2]) is a fractal curve and one of the earliest fractals to have been described. It is based on the Koch curve, which appeared in a 1904 paper titled "On a Continuous Curve Without Tangents, Constructible from Elementary Geometry" [3] by the Swedish mathematician Helge von Koch.
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This Halloween 2024, use these printable pumpkin stencils and free, easy carving patterns for the scariest, silliest, most unique, and cutest jack-o’-lanterns.
Starting in the 1950s Benoit Mandelbrot and others have studied self-similarity of fractal curves, and have applied theory of fractals to modelling natural phenomena. Self-similarity occurs, and analysis of these patterns has found fractal curves in such diverse fields as economics, fluid mechanics, geomorphology, human physiology and linguistics.