Julia and Mandelbrot

[c***@optimum.net]

Julia plots are Beautiful and Interesting.

See : https://postimg.cc/gallery/QHcFVXN

Plotted on the complex plane, each Julia is specific to a complex C.
If for any complex Z, the magnitude of { Z = [ ( Z + C ) squared ]
iterated n times } does not exceed 2 , then Z is a point in the Julia
for C at n iterations.

If a Julia contains the origin and is connected, then C is part of the
Mandelbrot set.

See : https://postimg.cc/gallery/YqLphGg

The Mandelbrot appears to be a well defined figure with apparent
borders or boundaries MBT-1 . Yet when one zooms in on a border or
boundary, there is an ongoing riot of complexity on all scales, MBT-1,
-2, -3, -4 . Very interesting.

[[e-mail]]

Post by c***@optimum.net
Julia plots are Beautiful and Interesting.
See : https://postimg.cc/gallery/QHcFVXN
Plotted on the complex plane, each Julia is specific to a complex C.
If for any complex Z, the magnitude of { Z = [ ( Z + C ) squared ]
iterated n times } does not exceed 2 , then Z is a point in the Julia
for C at n iterations.
If a Julia contains the origin and is connected, then C is part of the
Mandelbrot set.
See : https://postimg.cc/gallery/YqLphGg
The Mandelbrot appears to be a well defined figure with apparent
borders or boundaries MBT-1 . Yet when one zooms in on a border or
boundary, there is an ongoing riot of complexity on all scales, MBT-1,
-2, -3, -4 . Very interesting.

Where you plot what is the size of the element you plot with?
Is it infinitely small or zero? or some finite?

[c***@optimum.net]

Post by ***@gmail.com
Where you plot what is the size of the element you plot with?
Is it infinitely small or zero? or some finite?

It's been a very long time since I developed these images.

I think I computed and plotted points over the range of the image
consistent with the 1920 x 1080 screen resolution .

[Chris M. Thomasson]

Post by c***@optimum.net

Post by ***@gmail.com
Where you plot what is the size of the element you plot with?
Is it infinitely small or zero? or some finite?

It's been a very long time since I developed these images.
I think I computed and plotted points over the range of the image
consistent with the 1920 x 1080 screen resolution .

I gave you some of those Julia's. Remember?

[[e-mail]]

Post by Chris M. Thomasson

Post by c***@optimum.net

Post by ***@gmail.com
Where you plot what is the size of the element you plot with?
Is it infinitely small or zero? or some finite?

It's been a very long time since I developed these images.
I think I computed and plotted points over the range of the image
consistent with the 1920 x 1080 screen resolution .

I gave you some of those Julia's. Remember?

But I asked what size of element a fractal works by?
Is it zero? is it an infinitesimal or what finite are
you defining?

[c***@optimum.net]

Post by Chris M. Thomasson
I gave you some of those Julia's. Remember?

Now that you mention it, I do recall. Thanks again !

[Chris M. Thomasson]

Post by c***@optimum.net

Post by Chris M. Thomasson
I gave you some of those Julia's. Remember?

Now that you mention it, I do recall. Thanks again !

Thanks. :^)