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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.
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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.)
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.
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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