The image of Mandelbrot Set is one of the most famous fractal in mathematics,
and is generated as follows.
(1) Calculating the following recurrence formula for each pixel.
Zn+1 = Zn * Zn + c (n=0,1,2 ...)
Z0 = 0
(c: corresponding complex number for each pixel)
(2) Determine the color of this pixel based on its convergence for above calculation.
Especially you can find beautiful and mysterious images at more than1000x zoom
on the boundary of its initial image.
This app enables you to enjoy the image of Mandelbrot Set easily on your palm top
thanks to the computing power of ios devices.
Especially by executing above calculation for each zoom-in operation, same image quality
is kept even for more than 1000x zoom.
You can also save your favorite image to Photos, and use this as wallpaper or t-shirts design.