Another Mandelbrot zoomer. Figures for &Impossible fractals& Figures for "Impossible fractals" Cameron Browne Figure 1.
The tri-bar, the Koch snowflake and the Sierpinski gasket. Fractals - Fractal Recursions - StumbleUpon. Fractals geometry. A fractal is generally "a rough or fragmented geometric shape that can be split into parts, each of which is (at least approximately) a reduced-size copy of the whole," a property called self-similarity.
The term was coined by Benoît Mandelbrot in 1975 and was derived from the Latin fractus meaning "broken" or "fractured. " A mathematical fractal is based on an equation that undergoes iteration, a form of feedback based on recursion. Because they appear similar at all levels of magnification, fractals are often considered to be infinitely complex (in informal terms). Natural objects that approximate fractals to a degree include clouds, mountain ranges, lightning bolts, coastlines, and snow flakes. Benoit Mandelbrot Fractal Art Contest 2007 ~~ Entries.
Mandelbulb: The Unravelling of the Real 3D Mandelbrot Fractal. Opening Pandora's Box For the Second Time ur story starts with a guy named Rudy Rucker, an American mathematician, computer scientist and science fiction author (and in fact one of the founders of the cyberpunk science-fiction movement).
Around 20 years ago, along with other approaches, he first imagined the concept behind the potential 3D Mandelbulb (barring a small mistake in the formula, which nevertheless still can produce very interesting results - see later), and also wrote a short story about the 3D Mandelbrot in 1987 entitled "As Above, So Below" (also see his blog entry and notebook). Half_res_rgb.gif 1.200 × 1.500 pixels.