Different Bailout Conditions

[simon.snake]

Hi all.

I've been playing a bit with FractInt and have made the following formula, which is exactly the same as the Mandelbrot but with a different bailout condition on the last line:

Code:

simon0120-C {
  ; initialization
  z = j = pixel
  it=0:

  ; iterations
  z = z * z + j
  it = it + z

  ; bailout
  |z| > it || |z| < 4
}

Here are two images of the same area of the Mandelbrot, with 'default' FractInt colouring, the first of the standard formula and the second with the new bailout condition:





Now, if you overlay the images, you can see the boundaries between iterations are in slightly different places.  To demonstrate this, download both images, view them with your viewer of choice (e.g. preview in Windows) and swap between the images with the left and right arrow keys.  You'll see what I mean.

The moire effect is due to the fine bands of colour that are very close together, but it seems to produce a sort of interpolation of colours.