It appears to be available.
When you download and run it, there is a menu pull-down called "Julia". What is this?
Julia was the name of Mandelbrot's daughter.
If you remember, the M algorithm was:
In the region around 0, 0i in the complex plane, pick any point C.
C = a, bi. Where a and b are real numbers.
Now square C then add C -- to get D.
Now square D then add D -- to get E.
Now square E then add E -- to get F... etc.
The J (for Julia) algorithm is:
In the region around 0, 0i in the complex plane, pick any point C.
C = a, bi. Where a and b are real numbers.
Now square C then add C -- to get D.
Now square D then add C -- to get E.
Now square E then add C -- to get F... etc.
Selecting the Julia Space gives you this second algorithm. And they are beautiful too! They are connected in the following manner.
If you start with MS and there is a BLACK pixel in the center (a member of the MS) and then display the corresponding
JS, then all BLACK members of the
JS will connect together. In other words, there will be just ONE set of connected points in the
JS.
However, if you start with MS and there is a colored pixel in the center (NOT a member of the MS) and then display the corresponding
JS, then the BLACK members of the
JS will form an infinite set of unconnected regions.
The MS is therefore a "MAP" of
JS. Every point IN the MS will produce a connected
JS; every point NOT IN the MS will produce a infinitely unconnected
JS.
