Re: Fractint Digest, Vol 2, Issue 3
Re: Dinosaurs, Black Holes and Server Errors. 1) I also have not received the Fractint Email for several weeks; I thought I had been kicked out of the group, although I would have no reason why. I guess I missed the Mandelmania, Lee H. Skinner Images people are talking about now that look like dinosaurs or velociraptors. Can someone point me to them so I can check out? 2) I have investigated the "Black Hole" formula recently posted. I have seen many such patterns before - they are common if you zoom deep into the extreme left end of the Mandelbrot, the "needle point". (demonstrated by my Universe-2 viddie). There are many regions where you can zoom into intersecting lines forever and never encounter a mini-brot. A clue in the posted formula image is that the two flanking mini-brots are pointing towards each other. If there was a mini-brot in the center, it would be pointing in one direction, thus disrupting the symmetry. That's not good. Stated another way, since nothing CAN be at the center, nothing IS. It is an example of a recurrent phenomenon in Fractals I call "infinite regression". (The spiral regressions make for nice zoom viddies). Also, and I am not totally sure of this, but in the examples where there is a symmetrical LAKE in the center, if a sufficiently high iteration maximum is used, the lake will resolve (disappear). Finally, I zoomed deep into it and at about E+9 it all came undone. THAT I have never encountered before! I may be a Jack O(f many) TradeZ but I confess I have no explanation for this one ... BTW - I would rate the "JellyBeans" FOTD higher than the given 6 - it is one of the better images I have seen in a while. (How does that Muth dude find these things? ...) Stay Amazed! JoTz
2) I have investigated the "Black Hole" formula recently posted. I have seen many such patterns before - they are common if you zoom deep into the extreme left end of the Mandelbrot, the "needle point". (demonstrated by my Universe-2 viddie). There are many regions where you can zoom into intersecting lines forever and never encounter a mini-brot. A clue in the posted formula image is that the two flanking mini-brots are pointing towards each other. If there was a mini-brot in the center, it would be pointing in one direction, thus disrupting the symmetry. That's not good. Stated another way, since nothing CAN be at the center, nothing IS. It is an example of a recurrent phenomenon in Fractals I call "infinite regression". (The spiral regressions make for nice zoom viddies). Also, and I am not totally sure of this, but in the examples where there is a symmetrical LAKE in the center, if a sufficiently high iteration maximum is used, the lake will resolve (disappear).<<
No. You will eventually come to a mandelbrot midget at any of the intersections lines on the left side on the main mandelbrot. And at the intersection of lines in the MandelbrotMix4 image of which I posted the par except for the one point which I described. This is a very special case. Midgets on the x-axis in that image will point towards that point. I also disagree with you about the symmetrical lake disappearing if a sufficiently high maxiter is used - they are not shaped like mandelbrot midgets, but they are definitely there.
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JackOTradez -
Lee H. Skinner