Into the Depths No. 49   3 comments

Into the Depths No. 49

Into the Depths No. 49

Something went awry in this sequence zooming into the Mandelbrot hence the high number of digits in the width, it’ll settle down to the following sequence of significant digits: 1.0, 2.0, 4.0, 8.0, 1.6, 3.2, 6.4, 1.28, 2.56, 5.12 and back to 1.0.

Centre -0.154317638306776043979878599001907817104613333333333333333 + 1.03097537884458734193142580902824818171991111111111111111i
Width 2.9866666666666666666666666666666666667e-36
Magnification approx. 1.79e72
Precision 192 bits
Colour method: iteration

Posted 29 January 2013 by element90 in Art, Fractal

Tagged with , , , , , ,

3 responses to “Into the Depths No. 49

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  1. I love it when the Math goes wonky in these. I have learned, because I now research, more Math from my fractals than I ever did in class. Beautiful work, keep having fun with it!!

    • Mathematics can be a very dry subject depending on how it taught. I’m sure that when the subject of complex numbers comes up there would be greater interest if the Mandelbrot set was introduced at the same time. It wasn’t an option when I first did complex numbers at school, at the time the Mandelbrot set was probably only known to Mandelbrot himself and a few others. Making mistakes in the implementation of these things can often have pleasing results which is why there is an erroneous fractal type (Almost Cubic) and two erroneous functions (bcp, bcp2 i.e. two different bad complex power functions) retained in my software.

      • Truth be told, my basic math comprehension doesn’t get much past 2+2…with forays into long division. It was dry, boring, and more mind-numbing than watching paint dry. That was before fractals. Now, I find myself wanting to know more about the math, enjoying trips to Khan online, sharpening my woefully lacking math skills, until I hit a point where I can start looking into adult ed courses in more advanced math…all because of these fractal programs. Now, it’s interesting!
        I had one really cool fractal, very involved, and as I don’t know enough about the math other than to change a few numbers here and there to see what pops, a very happy accident that came about in Apophysis.
        So…I copied the parameters, and, in the post work, laid out the parameters along the curves of the piece, just as a barely noticeable shadow.
        This, I sent to the printer for a huge poster, and gave to a young man as a congratulation gift for being accepted into MIT’s math program He and his math group often look at printed fractals, to try to break down the math, just by reading the printed fractal. They had a ball with that piece, with the code printed right into the piece, picking up snippets of code and putting it all together in Apophysis, finally reproducing the piece, but also playing with moving snippets of code around to see what pops. It’s this fractal art that makes math fun!

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