![]() To see much more of the Burning Ship fractal, check out this video. This one is known on the Internet as the "Mandelbar" set because the iterator uses the complex conjugate, with a bar over the $z$,Īnd this amazing fractal, known as the "Burning Ship", is produced by zooming in on an iterator involving the complex absolute value. Greg did not make the next two images - I did, using his generator and nonstandard iterators. You can also install a mobile version on your Android smartphone. Here is one of his wallpapers, digital images that are available as a free download for use as a desktop background or device lock screen. This fractal flame generator can be installed both on Windows and Mac computers. Some of it is shown, and offered for sale, on his web site. He displays his work at galleries and exhibitions around New England. To preserve their value, he does not reveal the parameters and never reprints. Greg uses his generator, and his skill, to create unique single-edition prints. It does not increase the exponent, but these calculations need more precision, not more range. This doubles the fraction length and slows the rendering significantly. So, Greg's generator switches to double double precision. Fractal noise generates a noise pattern that can resemble things like clouds, water or a topographic map of a mountain range. ![]() I go over the techniques I used, and below are the final products you can play around with. It can create 3D fractal images to form fractal objects from a variety of non-linear equations. Here I show how I built a fractal generator from scratch. Zooming in on a Mandelbrot or similar fractal by a factor approaching $2^$ reaches the limit of IEEE double precision floating point. Among free fractal generators, Mandelbulb 3D is a popular choice. There is a lot of fractal art on the Web. I am giving you access to my paints! Please be aware that this is always a work in progress. He writes, "A painter uses paints I use a CPU. ![]() This is the tool that Greg uses to produce his art. You can edit the colormaps and investigate smoothers, renderers, and other effects. You can zoom, pan, change iterators, vary parameters, and select from almost two dozen themes or color maps. You will find yourself in an app, written in JavaScript and running in your browser, where you can endlessly explore the Mandelbrot set and an unlimited collection of variations. To get started, click on "Fractal Generator" in the menu on the left of the page, and then on the "Fractal Generator" icon in the center of the next page. ![]()
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