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Fractal Art => Images Showcase (Rate My Fractal) => Topic started by: Kalles Fraktaler on July 16, 2013, 08:45:54 PM




Title: Interesting glitch
Post by: Kalles Fraktaler on July 16, 2013, 08:45:54 PM
Code:
Re: -0.763096222132338191747444370864679866939
Im: -0.080087146219855142732470230803445878129
Magnification: 2.26E9
Max Iterations: 153300

This image has the same location as Dinkydau's "Desert".
Looks almost like simon.snake's "Kamoflagebrot" however this was not intentionally.
Might be hard to see, but there are spines and spirals inside the Minibrot, since the reference point is close but outside the minibrot.

Pauldebrot, can your "Nanoscope" detect and correct this glitch?
Because "Kalles Fraktaler" can certanly not (at least currently ;))


Title: Re: Interesting glitch
Post by: Pauldelbrot on July 16, 2013, 10:10:35 PM
Nanoscope will generally follow the iter gradient into the minibrot and avoid this glitch ... but in your instance it's a very pretty glitch. :)


Title: Re: Interesting glitch
Post by: Kalles Fraktaler on July 17, 2013, 10:53:06 AM
Nanoscope will generally follow the iter gradient into the minibrot and avoid this glitch ... but in your instance it's a very pretty glitch. :)
This is a very special location since it is very close to the main Mandelbrot and very close to this Minibrot, but not inside any of these.
Have you tried this location in your program?
It should be the same in your program, since we are using the same mathematics. It would be interesting if it did not though.

Because, how can the minibrot be detected as a blob, when it has structure in it?
The structure in the minibrot is beginning from just above 49,000 iterations, and the surroundings has about 1,400 - 20,000 iterations.
If I set max-iterations to 49,000 the minibrot is displayed correctly with black.

I guess more pixels must be sampled with high precision in order to find the area with the highest iterations and select the reference point in that area?
However high precision calculations is just what we want to avoid, and deeper locations would require a very long time just to find the reference point...


Title: Re: Interesting glitch
Post by: Pauldelbrot on July 17, 2013, 01:28:40 PM
Finding the balance between the two was tricky, but it will generally need only a handful (maybe, occasionally, over 10) high precision points iterated to zero in on the desired secondary reference point.