Search results
Results from the WOW.Com Content Network
The difference between this calculation and that for the Mandelbrot set is that the real and imaginary components are set to their respective absolute values before squaring at each iteration. [1] The mapping is non-analytic because its real and imaginary parts do not obey the Cauchy–Riemann equations .
The danger lies in the process relying on high voltages, [1] [3] [4] [6] much higher than normal mains electricity. [4] High voltages enable a potentially fatal current to pass through the body. [1] [4] The slightest contact with the equipment involved may result in death. [1] At such high voltages, arc flashes are also a risk. [4]
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.
Kalles Fraktaler focuses on zooming into fractals. This is possible in the included fractal formulas such like the Mandelbrot set, Burning ship or so called "TheRedshiftRider" fractals.
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.
Built by scaling the 32 segment generator (see inset) by 1/8 for each iteration, and replacing each segment of the previous structure with a scaled copy of the entire generator. The structure shown is made of 4 generator units and is iterated 3 times. The fractal dimension for the theoretical structure is log 32/log 8 = 1.6667.
2 triangles, example to show how fractal compression works. Fractal compression is a lossy compression method for digital images, based on fractals.The method is best suited for textures and natural images, relying on the fact that parts of an image often resemble other parts of the same image. [1]