A Lambda Fractal, producing Mandelbrot type fractal curve.Thanks to tetrastes. Additional Curves Now Seeing ThemThe Lambda formula is an alternative version of the equation for Julia fractals. While it is capable of creating the same Julia sets, the corresponding Mandelbrot version looks different.
Paul Bourke at
https://paulbourke.net/fractals/lambda/ says "Each value of "a" gives a different fractal image, commonly used value is -(0.85 + 0.6 i)"
Other values: a = 0.7 + 0.7 i , a = 0.7 + 0.725 i , a = 0.69 + 0.725 i
At
https://www.ultrafractal.com/help/index.html?/help/formulas/standard/lambda.html they also say to try:
For the standard Lambda Mandelbrot set, this should be set to (0.5, 0), which is what is shown in the attached png screenshot. Other values create distorted shapes that can be interesting, but they are usually not as well-formed as the standard set.
For well-formed sets, the real value should be set to 1 divided by the real value of the exponent.
For example, use (0.25, 0) if Exponent is set to (4, 0).
Exponent:
The default value is (2, 0), resulting in the classic equation. c * z * (1 - z)
Try (3, 0) and (4, 0) and so on to increase the complexity of the fractal.
I can't seem to see those other fractal curves mentioned at those 2 web sites.
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