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The Mandelbrot set is created using this formula. Z = Z x Z + C Z = (0 + 0i) C = (a + bi) Multiply Z by itself. Add C. The answer is the new value for Z. Repeat until the absolute value of Z is greater than two. So while it is probably... Read More »
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It’s can be obvious that the outer bands around the Mandelbrot set form complete loops around the Mandelbrot set. Look at this image. It is the Mandelbrot set with just two iterations calculated. You can see that the band representing two iterations, travels smoothly around the outer edges and then connects back up to itself.... Read More »
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Fractal animation is close to my heart. The process of fractal animation can be long indeed. I have rendered fractals for months just to produce ten minutes of fractal animation! The thing that makes fractal animation so time consuming is the maths behind it all. Each pixel has to be individually calculated using the maths.... Read More »
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At the beginning of the millennium Fractal art was and still is in its beginning stages of development as a separate and accepted art form. Only since the early 1990’s have computers and fractal programs advanced enough to make fractal image exploration practical. The concepts of Chaos have been around for several decades longer, with... Read More »
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