Recent Posts

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I am interested.
OK will be a while, I'm far away from real computers
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Meet & Greet / Re: Hi All - USA
« Last post by 3DickUlus on Today at 02:25:12 AM »
MB = Mandelbrot or Mandelbulb depending on context ???
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Meet & Greet / Re: Greetings
« Last post by 3DickUlus on Today at 02:23:36 AM »
Welcome back!  :thumbs:
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Image Threads / Re: zm49 (Stars)
« Last post by CFJH on Yesterday at 11:11:09 PM »
16x4Stars (at E38012)
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Fragmentarium / Re: Invert a DE?
« Last post by buddhi on Yesterday at 10:43:30 PM »
This code which showed @mclarekin is used to "calculate" distance inside inside the fractal. As you see until ray is inside the fractal (maxiter == true) step is always 1.0*detailSize (detailSize equals to distanceThreshold which stops ray-marching).
When is calculated normal vector, distance is inverted (by the surface) and is a smooth function.
Raymarching step is following:
step = (dist - 0.8 * distThresh) * params->DEFactor

In attached file is example of high resolution render.
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Image Threads / Re: Mandelbrot set Julia morphings
« Last post by Dinkydau on Yesterday at 10:18:15 PM »
Thank you
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Image Threads / Re: Wheels
« Last post by pauldelbrot on Yesterday at 09:09:00 PM »
Ring Around the Minibrot
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I intended to count the cycles bounded orbits were in at the end of max iteration. But I wanted to be too smart and have a fast algorithm so I checked for periodicity during iteration, not knowing whether an orbit escapes or not. The idea being that only the attracted orbits will come closer than my epsilon (1E-6, not small enough?) to a periodic point.

When I moved that check outside the loop when I definitely know whether an orbit escapes or not and only check the non-escaping ones, I got 2 attracting cycles, which sounds fasible. I attached a small image - very colorless, I liked the 399 one better. So I guess the end point of many iterations is closer to an actual periodic point than its first probable occurance early in the orbit (which I'm sure everyone except me was aware of).

But counting preperiodic basins would be interesting - take a cycle and check whether there is a finite set of entry points just before being trapped in the cycle (is that what you meant by preperiodic basins?)

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are you counting immediate basins or preperiodic basins also?
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