December 2017 - Fractint - mailman.xmission.com

Roots of Mandelbrot Set
by Edward Montague 10 Dec '17

10 Dec '17

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 . 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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Sebastien Helie's interesting new fractal image (animation)
by Harold Lane 07 Dec '17

07 Dec '17

Sebastien Helie sent me an email with an interesting new fractal parameter file in it. He said: > I leave you free with the decision > of what to put on [the Fractint email list serve] > (if you put it on). the fractal is super cool. > I ... wish to the group a merry christmas I agree with him about the fractal being pretty nifty, so, below are his parameter file and a link to an animated gif of his fractal on my server. It's a "passes=o" (orbital) which I have not used before. Interestingly, different pixel resolutions (image horizontal and vertical sizes) give slightly different versions of his fractal. I used Richard's Fractint for Windows beta 5 (not for general release; now renamed Iterated Dynamics). Even 1280x960 size images continue to evolve over time in a pleasing way. To try to reproduce a little of that "flavor," I saved his image approximately every two seconds, and combined the ten versions into an animated gif of the evolving fractal. You *really* need to view the animation at full size. If the browser shrinks it, all the pixels' colors are muted, and the curved arrays of single pixels get blurred. It's a little over three MB: http://tinyurl.com/Owl-Orbit-animated-gif or: http://www.emarketingiseasy.com/Sebastien/Owl-Orbit.gif --------- Start of his parameter file: ------------------- owl_orbital { ; 3 2017-12-06 by Sebastien Helie reset=2004 type=formula formulafile=2012_7.frm formulaname=startail passes=o center-mag=1.34954/-0.000501549/0.6005002/1/90/3.88578058618804789e-016 params=0.707106/1/2.4142/2 float=y maxiter=2500 inside=0 cyclerange=1/1 colors=000<3>000000000000CCCOOOZZZhhhpppvvvyyyz0W06a0Cg0Hl0Mq0Qu0Tx0VzWW\ GaPMgJSlEXq9au5ex2hz0jz8k0F00K00N00P00N00K00F0888F0FK0KN0NP0PN0NK0KF0F00\ z<8>ZZnbblffk<3>vvezzz0vv<7>0SS0OO0KK<3>044UUo<2>eecii_kkXmmVooUooUooUmm\ VkkXii_<2>YYk0Uo<2>CecGi_KkXOmVSoUWoUZoUbmVfkXji_<2>vYk0zm4vh8rcCn_GjW<2\ >SZPWWPZSPbORfKTjGW<2>v4h00z6CnCObIZSOhIUpAZv4cy1hz0ly1pv4spAvhIxZSyObzC\ n0kz2i0<3>Ac0Cb0E`0<3>MY0OX0QW0<3>XW0ZW0`W0<3>hZ0j_0l`0<3>tf0vh0xi0zGk<2\ 4>E3AC39A27<3>201ddd<3>flhgnihpj<3>kwnkxolyp<3>oztpztpzu<2>sxwswxtux<3>w\ nzxlzxjzyhzzfzzzz<15>000 } frm:startail{;sinpix a=real(p1^(0.707106/imag(p1))),b=real(p2^(0.707106/imag(p2))) z=c=pixel^(-.707106): t=z^a+c q=z^b+c z=t-(q-1)^(-1+z) |z|<74*c } --------- End of parameter file ------------------- - Hal Lane ######################## # hallane(a)earthlink.net ######################## --- This email has been checked for viruses by Avast antivirus software. https://www.avast.com/antivirus

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One Drive - Groove Music
by Albrecht Niekamp 05 Dec '17

05 Dec '17

Microsoft refused to end the enforced usage of Groove Music (Zunemusic) and to use Winamp. That means MIDI is forbidden and the Winamp playlists as well. For me it means I cannot even open and play my own, selfcomposed Music. Thank you Microsoft (for the second time !! ) . Alll Links are invalid.

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Analysis and Fractals .
by Edward Montague 05 Dec '17

05 Dec '17

The question . Differential equations , linear and non linear , of any type or degree . f(t) = some function , with or without constants . D(f(t)) = some differential equation involving f(t) , f'(t) and other . The condition that we want to satisfy is : D(f(t)) = 0 To do so , at the most basic level , we need to generate a large set of functions where there's a function that satisfies : D(f(t)) = 0 This is what I'm attempting to do with xfractint . Symbolically we tend to do things like finding an integrating factor , finding symmetries via lie algebras , performing iterated integration like He's Variational Iteration Method , fractional integration and a fair few others . To the best of my knowledge none of these are applicable to the full gamut of fractals or even the subset of all non linear differential equations ; which tend to be the most interesting . Just wondering if anyone has some suggestions , I continue to have this feeling that previous contributors to fractint formulas had some notion as to what might be involved with this .

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MF215-02
by Albrecht Niekamp 04 Dec '17

04 Dec '17

This is a test ! , https://1drv.ms/f/s!AmWYApv7ZBFG5x-kTi5Exz-U7MzR ; Will watch the outcome ; Albrecht

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Taikomati2 Update
by Albrecht Niekamp 04 Dec '17

04 Dec '17

This is an update to yesterday´s Quadro Version, the most exciting Rhythm I´ve heard - it has the addtitional dimension I´ve been looking for. If you dont like it, it´s not my fault. After all it´s only Taikomatic... Fractal Music Uses the japanese Kumoi scale for the first time, a 5 tone guitar scale with the notes: E A D G B E ; https://1drv.ms/u/s!AmWYApv7ZBFG5xjuurQSB5fF8JRx ; Albrecht

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Taikomatic2
by Albrecht Niekamp 01 Dec '17

01 Dec '17

Added the (different) Quadro Version today - mp3 Hirajoshi Scale and better channel separation Taikomatic_061117TQ. ; https://1drv.ms/f/s!AmWYApv7ZBFG5xFl0IreS85-a2ep ; Albrecht

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