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Sierpiński Carpet - Infinite perimeter and zero area Mandelbrot set at islands The Mandelbrot set: its boundary is a fractal curve with Hausdorff dimension 2. (Note that the colored sections of the image are not actually part of the Mandelbrot Set, but rather they are based on how quickly the function that produces it diverges.)
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.
Starsector (formerly Starfarer) is a top-down single-player indie role-playing game developed and published by Fractal Softworks for PC, with the Alpha released in 2011. Set in the year 3126, the player commands a fleet of spaceships and engages in trade, exploration, and combat in a procedurally generated world.
Animation of a continuous zoom-out to show the amount of detail for an implementation with 64 maximum iterations. The below pseudocode implementation hardcodes the complex operations for Z. Consider implementing complex number operations to allow for more dynamic and reusable code.
3D fractal made with Fragmentarium. Fractal-generating software is any type of graphics software that generates images of fractals.There are many fractal generating programs available, both free and commercial.
Fractal Analytics Private Limited, trading as Fractal, is a multinational artificial intelligence company which provides services in packaged consumer goods, insurance, healthcare, life sciences, retail, technology, and the financial sector.
A detail from a non-integer Multibrot set. There are many different kinds of fractal images. They can be subdivided into several groups. Fractals derived from standard geometry by using iterative transformations on an initial common figure like a straight line (the Cantor dust or the von Koch curve), a triangle (the Sierpinski triangle), or a cube (the Menger sponge).
Fractal Design was founded in Gothenburg, Sweden, in 2007. In 2009, international recognition for the company grew after the first computer case within the Define series was introduced.