Let's see a hi-res image please! Thanks. On 10 December 2017 at 16:51, Jonathan Osuch <osuchj@mediacombb.net> wrote:
Edward,
Using my established method for finding the derivative of the Mandelbrot series and Newton's formula for finding the roots of a function I produced this formula .
In theory there a convergence towards the roots is expected , meaning that the condition for bailout happens when |x| approaches a small value . This isn't obvious with this formula , any improvements are welcome .
Your formula does produce an interesting image. Periodicity needs to be set to 0. This can be done like this:
R1Mandel(XAXIS)[periodicity=0] {;sciwiseg , Edward Montague ...
Jonathan
R1Mandel(XAXIS) {;sciwiseg , Edward Montague ; ; Roots of Mset via derivative of Mset . ; ; y , derivative ; x , Mset . ; ; x = Pixel y = 1 :
y= 2*x*y+1 x = x*x + Pixel
x = x - (x/y)
x| < 4
}
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