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// reRE: Lambert W similar formulas //
by Harold Lane 07 Feb '17

07 Feb '17

Thanks, Mike. I'm sure others will be happy to see your pages. - Hal Lane ######################## # hallane(a)earthlink.net ######################## -----Original Message----- From: Fractint [mailto:fractint-bounces@mailman.xmission.com] On Behalf Of Mike Frazier Sent: Monday, February 6, 2017 10:00 PM To: Fractint and General Fractals Discussion <fractint(a)mailman.xmission.com> Subject: [Fractint] Lambert W similar formulas On Sat, Feb 4, 2017 at 1:46 AM, Harold Lane <hallane(a)earthlink.net> wrote: > Here are some images created by Sciwise's Lambert W Fractint formula. > His post and formula are below along with some of the parameter sets > that created my images. > Thanks for posting those Hal and Sciwise. I did a couple of similar equations a few years back: A Halley: http://www.fracton.org/fmlposts/halley_jjp.html A Chebyshev: http://www.fracton.org/fmlposts/chebyshev.html -- Mike Frazier www.fracton.org _______________________________________________ Fractint mailing list Fractint(a)mailman.xmission.com https://mailman.xmission.com/cgi-bin/mailman/listinfo/fractint --- This email has been checked for viruses by Avast antivirus software. https://www.avast.com/antivirus

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Lambert W similar formulas
by Mike Frazier 07 Feb '17

07 Feb '17

On Sat, Feb 4, 2017 at 1:46 AM, Harold Lane <hallane(a)earthlink.net> wrote: > Here are some images created by Sciwise's Lambert W > Fractint formula. His post and formula are below along > with some of the parameter sets that created my images. > Thanks for posting those Hal and Sciwise. I did a couple of similar equations a few years back: A Halley: http://www.fracton.org/fmlposts/halley_jjp.html A Chebyshev: http://www.fracton.org/fmlposts/chebyshev.html -- Mike Frazier www.fracton.org

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Lambert W
by sciwise＠ihug.co.nz 04 Feb '17

04 Feb '17

This is a late night , early morning , endeavour ; therefore not as well investigated as usual. There are fractals for the power tower however there didn't appear to be anything for the basic Lambert W function. LamW(XAXIS) {; Edward Montague (c) 2017 ; ; Checked for complex values with Maxima ; ; Lambert's W function via Halley's root finding ; algorithm , with addition imaginary constant . ; ; ; c = z = Pixel w=0.1 : wold=w w=w - (w*exp(w) - z)/((exp(w)*(w+1)-(w+2)*(w*exp(w)-z)/(2*w+2))+(0,0.000001)) .000001 < |w-wold| ; && |w|

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LamW accuracy
by sciwise＠ihug.co.nz 03 Feb '17

03 Feb '17

I've now compared the accuracy of my LamW formula with that of Maxima 5.39.x and Wolfram alpha. LamW is in perfect agreement with Maxima 5.39.x , lambert_w() function ; however there is a discrepency between LamW and ProductLog at the 17th decimal digit . You might also notice that after 12 zooms or so the resolution DETERIORATES . Sciwise

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Newman1
by sciwise＠ihug.co.nz 26 Jan '17

26 Jan '17

This formula was constructed after reading a pdf from Yu and Ben-Israel. Doesn't appear to generate what I expected , maybe I need to delve into this a bit more , any comments from the list might be useful. If you comment out the line p1=1 then the parameter p1 is selectable from the parameter box. Newman1(XAXIS) {; Edward Montague (c) 2017 ; ; Supposedly equivalent to the Mandelbrot Set. ; ; Ref , The Newton and Halley Methods for Complex Roots ; Lily . Yau and Adi Ben-Israel ; ; c = z = Pixel p1=1 : ed =exp(-(2*atan((2*z-1)/sqrt(4*c-1)))/sqrt(4*c-1)-(2*atan(1/sqrt(4*c-1)))/sqrt(4*c-1)) edp= -exp(-(2*atan((2*z-1)/sqrt(4*c-1)))/sqrt(4*c-1)-(2*atan(1/sqrt(4*c-1)))/sqrt(4*c-1))/(z^2-z+c) zold=z; z = z - p1*ed/edp .0001 < |z-zold| ; && |z|

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NewtDiffmaxc
by sciwise＠ihug.co.nz 21 Jan '17

21 Jan '17

Maxima is mostly an algebraic system , however using various simplifications numerical calculations are also possible ; even those that have a tendency to cause numerical overflow. Yes numerical overflow is possible in maxima unless various precautions are taken. This is the maxima equivalent to the fractint formula d2jbMandelbrot that I posted recently . You may not need to compile() the function , I tend to do this as I'm always assuming that a speed increase will result. The file iterdiff2c.wxm /* [wxMaxima batch file version 1] [ DO NOT EDIT BY HAND! ]*/ /* [ Created with wxMaxima version 11.08.0 ] */ /* [wxMaxima: comment start ] . iterdiff2c.wxm (c) Copyright 2017 , sciwise(a)ihug.co.nz Methodology for expressing differential equations in terms of an iterated function. In particular a first order differential equation and the derivative thereof . Note that f(z,c) might be any iterated function . . [wxMaxima: comment end ] */ /* [wxMaxima: comment start ] ' Differential equation we're examining . diff(f(z),z) + 3*f(z)*z = sin(z) for an iterated function z = f(z) , g(z) =f(f(z)) diff(g(z),z) + 3*g(z)*f(z) = sin(f(z)) . [wxMaxima: comment end ] */ /* [wxMaxima: input start ] */ kill(all)$ eq1:diff(g(z,c),z) + 3*g(z,c)*f(z,c) - sin(f(z,c))$ expand(eq1); expand(diff(eq1,z)) ; /* [wxMaxima: input end ] */ /* [wxMaxima: comment start ] For the iterated Mandelbrot fractal function . [wxMaxima: comment end ] */ /* [wxMaxima: input start ] */ f(z,c):=z*z+c$ g(z,c):=f(f(z,c),c)$ f(z,c); g(z,c); /* [wxMaxima: input end ] */ /* [wxMaxima: comment start ] [wxMaxima: comment end ] */ /* [wxMaxima: input start ] */ eq1:diff(g(z,c),z) + 3*g(z,c)*f(z,c) - sin(f(z,c))$ ed:expand(eq1)$ edp:expand(diff(eq1,z))$ /* [wxMaxima: input end ] */ /* [wxMaxima: comment start ] [wxMaxima: comment end ] */ /* [wxMaxima: input start ] */ ed; edp; /* [wxMaxima: input end ] */ /* [wxMaxima: comment start ] This may well simplify the construction of fractint formulas for this type of equation . [wxMaxima: comment end ] */ /* [wxMaxima: comment start ] z=Pixel c=Pixel : ed = -sin(z^2+c)+3*z^6+9*c*z^4+4*z^3+9*c^2*z^2+3*c*z^2+4*c*z+3*c^3+3*c^2 edp = -2*z*cos(z^2+c)+18*z^5+36*c*z^3+12*z^2+18*c^2*z+6*c*z+4*c [wxMaxima: comment end ] */ /* [wxMaxima: input start ] */ kill(all)$ /* [wxMaxima: input end ] */ /* [wxMaxima: input start ] */ ratprint : false$ /* [wxMaxima: input end ] */ /* [wxMaxima: comment start ] Iterated function , Differential and Newton's method. [wxMaxima: comment end ] */ /* [wxMaxima: input start ] */ iterdiffn(c,n):=block([z,ed,edp,mag,j,i], mag:0.001, j:0, z:c, ed:1, for i:0 while( i < n) and ( abs(ed) > mag ) do( z:expand(z), z:radcan(z), z:realpart(z) + %i*imagpart(z), z:ev(z,numer), ed : -sin(z^2+c)+3*z^6+9*c*z^4+4*z^3+9*c^2*z^2+3*c*z^2+4*c*z+3*c^3+3*c^2, ed:expand(ed), ed:radcan(ed), ed:realpart(ed) + %i*imagpart(ed), ed:ev(ed,numer), edp : -2*z*cos(z^2+c)+18*z^5+36*c*z^3+12*z^2+18*c^2*z+6*c*z+4*c, edp:expand(edp), edp:radcan(edp), edp:realpart(edp) + %i*imagpart(edp), edp:ev(edp,numer), z : z - (ed/edp), j : j+1 ), realpart(ed) + %i*imagpart(ed) )$ /* [wxMaxima: input end ] */ /* [wxMaxima: comment start ] [wxMaxima: comment end ] */ /* [wxMaxima: input start ] */ compile(iterdiffn)$ /* [wxMaxima: input end ] */ /* [wxMaxima: comment start ] This returns the value of the differential equation for the intial value of c. If this is close to zero then the last value of z might be a complex root of the Differential Equation . [wxMaxima: comment end ] */ /* [wxMaxima: input start ] */ n:6$ c:0.01 + %i*0.1$ iterdiffn(c,n); /* [wxMaxima: input end ] */ /* [wxMaxima: comment start ] [wxMaxima: comment end ] */ /* Maxima can't load/batch files which end with a comment! */ "Created with wxMaxima"$ Also the file iterdiff2c.mac /* . iterdiff2c.mac (c) Copyright 2017 , sciwise(a)ihug.co.nz Methodology for expressing differential equations in terms of an iterated function. In particular a first order differential equation and the derivative thereof . Note that f(z,c) might be any iterated function . . */ /* ' Differential equation we're examining . diff(f(z),z) + 3*f(z)*z = sin(z) for an iterated function z = f(z) , g(z) =f(f(z)) diff(g(z),z) + 3*g(z)*f(z) = sin(f(z)) . */ kill(all)$ eq1:diff(g(z,c),z) + 3*g(z,c)*f(z,c) - sin(f(z,c))$ expand(eq1); expand(diff(eq1,z)) ; /* For the iterated Mandelbrot fractal function . */ f(z,c):=z*z+c$ g(z,c):=f(f(z,c),c)$ f(z,c); g(z,c); /* */ eq1:diff(g(z,c),z) + 3*g(z,c)*f(z,c) - sin(f(z,c))$ ed:expand(eq1)$ edp:expand(diff(eq1,z))$ /* */ ed; edp; /* This may well simplify the construction of fractint formulas for this type of equation . */ /* z=Pixel c=Pixel : ed = -sin(z^2+c)+3*z^6+9*c*z^4+4*z^3+9*c^2*z^2+3*c*z^2+4*c*z+3*c^3+3*c^2 edp = -2*z*cos(z^2+c)+18*z^5+36*c*z^3+12*z^2+18*c^2*z+6*c*z+4*c */ kill(all)$ ratprint : false$ /* Iterated function , Differential and Newton's method. */ iterdiffn(c,n):=block([z,ed,edp,mag,j,i], mag:0.001, j:0, z:c, ed:1, for i:0 while( i < n) and ( abs(ed) > mag ) do( z:expand(z), z:radcan(z), z:realpart(z) + %i*imagpart(z), z:ev(z,numer), ed : -sin(z^2+c)+3*z^6+9*c*z^4+4*z^3+9*c^2*z^2+3*c*z^2+4*c*z+3*c^3+3*c^2, ed:expand(ed), ed:radcan(ed), ed:realpart(ed) + %i*imagpart(ed), ed:ev(ed,numer), edp : -2*z*cos(z^2+c)+18*z^5+36*c*z^3+12*z^2+18*c^2*z+6*c*z+4*c, edp:expand(edp), edp:radcan(edp), edp:realpart(edp) + %i*imagpart(edp), edp:ev(edp,numer), z : z - (ed/edp), j : j+1 ), realpart(ed) + %i*imagpart(ed) )$ /* */ compile(iterdiffn)$ /* This returns the value of the differential equation for the intial value of c. If this is close to zero then the last value of z might be a complex root of the Differential Equation . */ n:6$ c:0.01 + %i*0.1$ iterdiffn(c,n); /* */

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DiffNewtMaxb
by sciwise＠ihug.co.nz 21 Jan '17

21 Jan '17

Assuming that the fractal function is made inherent within the equations ed and edp the equation z=z*z+c might be removed. Using this was deflecting Newton's method from finding the basin of attraction. The new formula is somewhat faster and more intricate ; also this might provide an accurate location for the roots , I may only know once I evaluate the characteristic equation for this simple differential equation. The characteristic equation approach doesn't appear to be applicable to more complicated Differential equations. d2jbMandelbrot(XAXIS) {; Edward Montague (c) 2017 c = Pixel z = c : ed = -sin(z^2+c)+3*z^6+9*c*z^4+4*z^3+9*c^2*z^2+3*c*z^2+4*c*z+3*c^3+3*c^2 edp = -2*z*cos(z^2+c)+18*z^5+36*c*z^3+12*z^2+18*c^2*z+6*c*z+4*c z = z - ed/edp .0001 < |ed| } test { reset=2004 type=formula formulafile=fractint.frm formulaname=d2jbMandelbrot corners=-2/2/-1.5/1.5 float=y maxiter=1024 inside=bof60 colors=(a)default.map }

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DiffNewtMax
by sciwise＠ihug.co.nz 20 Jan '17

20 Jan '17

So that you might comprehend how I derived the formula for d2jaMandelbrot I'm including the Maxima Cas code that I used . file iterdiff2a.wxm . /* [wxMaxima batch file version 1] [ DO NOT EDIT BY HAND! ]*/ /* [ Created with wxMaxima version 11.08.0 ] */ /* [wxMaxima: comment start ] . (c) Copyright 2017 , sciwise(a)ihug.co.nz Methodology for expressing differential equations in terms of an iterated function. In particular a first order differential equation and the derivative thereof . Note that f(z,c) might be any iterated function . . [wxMaxima: comment end ] */ /* [wxMaxima: comment start ] ' Differential equation we're examining . diff(f(z),z) + 3*f(z)*z = sin(z) for an iterated function z = f(z) , g(z) =f(f(z)) diff(g(z),z) + 3*g(z)*f(z) = sin(f(z)) . [wxMaxima: comment end ] */ /* [wxMaxima: input start ] */ kill(all)$ eq1:diff(g(z,c),z) + 3*g(z,c)*f(z,c) - sin(f(z,c))$ expand(eq1); expand(diff(eq1,z)) ; /* [wxMaxima: input end ] */ /* [wxMaxima: comment start ] For the iterated Mandelbrot fractal function . [wxMaxima: comment end ] */ /* [wxMaxima: input start ] */ f(z,c):=z*z+c$ g(z,c):=f(f(z,c),c)$ f(z,c); g(z,c); /* [wxMaxima: input end ] */ /* [wxMaxima: comment start ] [wxMaxima: comment end ] */ /* [wxMaxima: input start ] */ eq1:diff(g(z,c),z) + 3*g(z,c)*f(z,c) - sin(f(z,c))$ ed:expand(eq1)$ edp:expand(diff(eq1,z))$ /* [wxMaxima: input end ] */ /* [wxMaxima: comment start ] [wxMaxima: comment end ] */ /* [wxMaxima: input start ] */ ed; edp; /* [wxMaxima: input end ] */ /* [wxMaxima: comment start ] This may well simplify the construction of fractint formulas for this type of equation . [wxMaxima: comment end ] */ /* [wxMaxima: comment start ] z=Pixel c=Pixel : z=z*z+c ed = -sin(z^2+c)+3*z^6+9*c*z^4+4*z^3+9*c^2*z^2+3*c*z^2+4*c*z+3*c^3+3*c^2 edp = -2*z*cos(z^2+c)+18*z^5+36*c*z^3+12*z^2+18*c^2*z+6*c*z+4*c [wxMaxima: comment end ] */ /* Maxima can't load/batch files which end with a comment! */ "Created with wxMaxima"$ And file iterdiff2a.mac . /* . (c) Copyright 2017 , sciwise(a)ihug.co.nz Methodology for expressing differential equations in terms of an iterated function. In particular a first order differential equation and the derivative thereof . Note that f(z,c) might be any iterated function . . */ /* ' Differential equation we're examining . diff(f(z),z) + 3*f(z)*z = sin(z) for an iterated function z = f(z) , g(z) =f(f(z)) diff(g(z),z) + 3*g(z)*f(z) = sin(f(z)) . */ kill(all)$ eq1:diff(g(z,c),z) + 3*g(z,c)*f(z,c) - sin(f(z,c))$ expand(eq1); expand(diff(eq1,z)) ; /* For the iterated Mandelbrot fractal function . */ f(z,c):=z*z+c$ g(z,c):=f(f(z,c),c)$ f(z,c); g(z,c); /* */ eq1:diff(g(z,c),z) + 3*g(z,c)*f(z,c) - sin(f(z,c))$ ed:expand(eq1)$ edp:expand(diff(eq1,z))$ /* */ ed; edp; /* This may well simplify the construction of fractint formulas for this type of equation . */ /* z=Pixel c=Pixel : z=z*z+c ed = -sin(z^2+c)+3*z^6+9*c*z^4+4*z^3+9*c^2*z^2+3*c*z^2+4*c*z+3*c^3+3*c^2 edp = -2*z*cos(z^2+c)+18*z^5+36*c*z^3+12*z^2+18*c^2*z+6*c*z+4*c */

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NewtDiffa
by sciwise＠ihug.co.nz 19 Jan '17

19 Jan '17

In this instance I've used Maxima Cas to directly calculate the formula for the differential equation , using the Mandelbrot Set as the function. Again I'm using Newton's method in an attempt to find the roots of the Differential equation ; if successful then I might be able to extend this to more complicated differential equations. Parameter file test { reset=2004 type=formula formulafile=fractint.frm formulaname=d2jaMandelbrot corners=-2/2/-1.5/1.5 float=y maxiter=1024 inside=bof60 outside=0 logmap=yes colors=(a)chroma.map } Fractal formula . d2jaMandelbrot(XAXIS) {; Edward Montague (c) 2017 c = Pixel z = c : z=z*z+c ed = -sin(z^2+c)+3*z^6+9*c*z^4+4*z^3+9*c^2*z^2+3*c*z^2+4*c*z+3*c^3+3*c^2 edp = -2*z*cos(z^2+c)+18*z^5+36*c*z^3+12*z^2+18*c^2*z+6*c*z+4*c z = z - ed/edp .0001 < |ed| }

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DiffNewt
by sciwise＠ihug.co.nz 17 Jan '17

17 Jan '17

A fractal that's a merge between my fractal differential equation and Newton's method ; yet to be checked via Maxima CAS. I call this Garden at night. test { reset=2004 type=formula formulafile=fractint.frm formulaname=d1jMandelbrot corners=-0.15769712/0.42302879/-0.77360787/-0.33806344 float=y maxiter=1024 inside=bof60 outside=0 colors=00000000d00f00h00i00k00m0ew0fx0hx0iy0ky0mznwzpwzrxzzzz7zz6zz4zz3zz2zz0zz07z06z04z03z02z00z002000000 } d1jMandelbrot(XAXIS) {; Edward Montague (c) 2017 ; ; Mandelbrot series = z ; First Derivative of Mandelbrot Series = z1 ; Second Derivative of Mandelbrot Series = z2 ; ; Differential Equation is , diff(f(z),z) + 3*f(z)*z = sin(z) ; Actually w.r.t c , where c == Pixel. ; ; z = Pixel z1=1 z2 = 0 u = 0 edp = 0 ed = 0 z2 = 2*z*z2+2*z1^2 z1 = 2*z*z1+1 u = z z = z*z + Pixel ed = 3*z*Pixel + z1 - sin(u) edp = z2 + 3*Pixel*z1 + 3*z - cos(u) z2 = 2*z*z2+2*z1^2 z1 = 2*z*z1+1 u = z z = z*z + Pixel ed = 3*z*Pixel + z1 - sin(u) edp = z2 + 3*Pixel*z1 + 3*z - cos(u) : z2 = 2*z*z2+2*z1^2 z1 = 2*z*z1+1 u = z z = z*z + Pixel ed = 3*z*Pixel + z1 - sin(u) edp = z2 + 3*Pixel*z1 + 3*z - cos(u) z = z - ed/edp .0001 < |ed| }

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D1iMz
by sciwise＠ihug.co.nz 08 Jan '17

08 Jan '17

To download the file FracD1M.bas , go to http://www.freebasic.net , Projects , Fractal map , FracD1M.bas

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Diff 1 2 & eq via Mandz
by sciwise＠ihug.co.nz 08 Jan '17

08 Jan '17

This is the parameter and formula file for generating the mandelbrot series , first and second derivatives thereof and an associated first order differential equation . For possible use with FreeBASIC , FracD1iM.bas code . To do so convert the *.gif file produced to fract003.bmp and place in the same directory as FracD1iM.bas . The FreeBASIC code should run in Windows , Linux and possibly DOS , you'll require the appropriate FreeBASIC compiler. file fract03.par test { reset=2004 type=formula formulafile=fractint.frm formulaname=d1iMandelbrot corners=-1.599499/1.008761/-0.9269799/1.029215 float=y maxiter=1024 inside=bof60 colors=(a)blues.map } formula , append this to fractint.frm d1iMandelbrot(XAXIS) {; Edward Montague (c) 2016 ; ; Mandelbrot series = z ; First Derivative of Mandelbrot Series = z1 ; Second Derivative of Mandelbrot Series = z2 ; ; Differential Equation is , diff(f(z),z) + 3*f(z)*z = sin(z) ; Actually w.r.t c , where c == Pixel. ; z = Pixel z1=1 z2 = 0 u = 0 ed = 0: z2 = 2*z*z2+2*z1^2 z1 = 2*z*z1+1 u = z z = z*z + Pixel ed = 3*z*Pixel + z1 - sin(u) |ed| < 10000 && |z| > 0 }

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Fractal series with separate views.
by sciwise＠ihug.co.nz 22 Dec '16

22 Dec '16

With this version I've placed the image data and waveforms upon separate figures . Using a few values from the right of the main bulb , there are selections where the z series retains it's magnitude whilst the series for ed tends towards zero. I'm considering another approach to this , which I shall develop for the next version ; meanwhile try exploring. sciwise. """ plot2sz3.py General structure for examining fractal series . Intended for use with Linux type OS's and d1iMandelbrot formula with [x]fractint. (c) copyright 2016 sciwise(a)ihug.co.nz This version uses separate figures allowing for easier manual selection from the fractal and better discernability of the waveforms. """ # Import libraries import numpy as np import matplotlib.pyplot as plt import matplotlib.gridspec as gridspec # import matplotlib.cbook as cbook import matplotlib.cm as cm # # -------------------------------------------------------------------- # #####Event handler for button_press_event##### def enter_axes(event): print('enter_axes', event.inaxes) event.canvas.draw() def leave_axes(event): print('leave_axes', event.inaxes) event.canvas.draw() def onclick(event): ''' Event handler for button_press_event @param event MouseEvent ''' global ix, iy ix, iy = event.xdata, event.ydata for i, ax in enumerate([ax1, ax2 , ax3]): # For infomation, print which axes the click was in if ax == event.inaxes: # Check if the click was in ax1 if (i+1 == 1 ) : c = pt2c(ix,iy,xTL,yTL,xBR,yBR) d1imand(c) plt.figure(2) ax2.clear() ax2.plot(x2, y2r, 'r.-' ) ax2.plot(x2, y2i, 'b.-') ax3.clear() ax3.plot(x2, yed, 'm.-') plt.draw() plt.figure(1) #print " ",c.real," ",c.imag # Check if the click was in ax1 or ax2 if event.inaxes in [ax1, ax2,ax3]: return iy else: return # # .......................................................................... # # xTL x top left # yTL y top left # xBR x bottom right # yBE y bottom right # def pt2c(ix,iy,xTL,yTL,xBR,yBR): x=xTL+(xBR-xTL)*ix/800 y=yTL+(yBR-yTL)*iy/600 c=complex(x,y) return c def d1imand(c): """ Mandelbrot series = z first derivative = z1 second derivative = z2 Diff' equation = ed = diff(f(z),z) + 3*f(z)*z = sin(z) """ for i in range(n): y2r[i] = 0.0 y2i[i] = 0.0 yed[i] = 0.0 z = c z1 = 1.0 z2 = 0.0 itr=0 ed=0 while ( itr < n) and (abs(z2) < 1000000) and ( abs(z) > 0 ): z2 =2*z1*z1 +2*z2*z z1 = 2*z*z1 + 1 u = z z = z*z+c ed = 3*z*c + z1 - np.sin(u) y2r[itr] = z.real y2i[itr] = z.imag yed[itr] = abs(ed) itr = itr+1 for i in range(200): y2r[i] = 0.0 y2i[i] = 0.0 yed[i] = 0.0 return def fracCorners(file1) : f = open(file1, 'r') x = f.read() j=0 k=0 l=0 for i in range(0,len(x)-8): ns = x[i : i+8] if ( ns=='corners=' ) : l=int(l+8) break l=int(l+1) j=l for i in range(l,len(x)-1): ns = x[i : i+1] if ( ns== "/" ) : break j=int(j+1) s=x[l:j] xTL = np.float64(s) l=j+1 j=l for i in range(l,len(x)-1): ns = x[i : i+1] if ( ns== "/" ) : break j=int(j+1) s = x[l:j] xBR = np.float64(s) l=j+1 j=l for i in range(l,len(x)-1): ns = x[i : i+1] if ( ns== "/" ) : break j=int(j+1) s=x[l:j] yBR = np.float64(s) l=j +1 j=l for i in range(l,len(x)-6): ns = x[i : i+6] if ( ns== "float=" ) : break j=int(j+1) s=x[l:j] yTL = np.float64(s) l=j j=l for i in range(l,len(x)-8): ns = x[i : i+8] if ( ns== "maxiter=" ) : j=j+8 break j=int(j+1) # l=j j=l for i in range(l,len(x)-7): ns = x[i : i+7] if ( ns== "inside=" ) : break j=int(j+1) s = x[l:j] maxiter = np.int64(s) f.close() return [xTL,yTL,xBR,yBR,maxiter] # # --------------------------- Main ----------------------------------------- # # fractint gif file and associated par file. # filegif = 'fract008.gif' filepar = 'fract.par' # # ........................................................................... # fbase = '/usr/share/xfractint/pars/' file1= fbase + filepar xyc=fracCorners(file1) xTL = xyc[0] yTL = xyc[1] xBR =xyc[2] yBR =xyc[3] maxiter=xyc[4] # fbase = '/root/' file2= fbase + filegif imageFile = cbook.get_sample_data(file2) image = plt.imread(imageFile) # # --------------------------------------------------------------------------- # # Generate data # n=maxiter x2 = np.array((np.linspace(0,n,n))) y2r = np.array((np.linspace(0,n,n))) y2i = np.array((np.linspace(0,n,n))) yed = np.array((np.linspace(0,n,n))) # # initial value for c , this to be selected from image . # c=-0.25 + 0.3j #c=-0.47 + 0.018j #c=-0.75 + 0.0014j #c=-0.0099 + 0.005j #c=-0.108516194675302 + 0.9013927770462271j #c=-0.123991033848631 + 0.7429343365256118j # # # ........................................................................... # d1imand(c) # # ------------------------------------------------------------------- # # Plot on seperate figures fig1 = plt.figure() # large subplot ax1=fig1.add_subplot(1,1,1) plt.axis('off') plt.imshow(image, interpolation="none" ) fig1.tight_layout() fig2 = plt.figure() ax2=fig2.add_subplot(2,1,1) plt.plot(x2, y2r, 'r.-') plt.plot(x2, y2i, 'b.-') ax3=fig2.add_subplot(2,1,2) plt.plot(x2, yed, 'm.-') plt.ylabel('Magnitude') fig2.tight_layout() # # cid = fig1.canvas.mpl_connect('button_press_event', onclick) #fig.canvas.mpl_disconnect(cid) plt.show() exit(0) # # -------------------------------------------------------------------- # #fig.set_size_inches(w=11,h=7) #fig_name = 'plot.png' #fig.savefig(fig_name)

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View fractal series
by sciwise＠ihug.co.nz 20 Dec '16

20 Dec '16

This python 2.7 code is intended for use with a Linux type system. The *.gif and *.par files are generated from xfractint and then read and displayed . The mouse is then used to select a pixel value from the image , this is then used to calculate z , z1 , z2 and ed . The real and imaginary components of the z series are then shown as blue and red waveforms. The differential equation results are shown in magenta. The objective is to have the magenta values go to zero whilst the red or blue values remain greater than zero. This may involve going back to fractint and selecting a another region , saving the *.gif and *.par files , then invoking the python code again ; with the new *.gif and *.par files. I use geany to edit and run python files. """ plot2sz2.py General structure for examining fractal series . Intended for use with Linux type OS's and d1iMandelbrot formula with fractint. (c) copyright 2016 sciwise(a)ihug.co.nz """ # Import libraries import numpy as np import matplotlib.pyplot as plt import matplotlib.gridspec as gridspec # import matplotlib.cbook as cbook import matplotlib.cm as cm # # -------------------------------------------------------------------- # #####Event handler for button_press_event##### def enter_axes(event): print('enter_axes', event.inaxes) event.canvas.draw() def leave_axes(event): print('leave_axes', event.inaxes) event.canvas.draw() def onclick(event): ''' Event handler for button_press_event @param event MouseEvent ''' global ix, iy ix, iy = event.xdata, event.ydata for i, ax in enumerate([ax1, ax2]): # For infomation, print which axes the click was in if ax == event.inaxes: # Check if the click was in ax1 if (i+1 == 1 ) : c = pt2c(ix,iy,xTL,yTL,xBR,yBR) d1imand(c) ax2.clear() ax2.plot(x2, y2r, 'r.-' ) ax2.plot(x2, y2i, 'b.-') ax2.plot(x2, yed, 'm.-') plt.draw() #print " ",c.real," ",c.imag # Check if the click was in ax1 or ax2 if event.inaxes in [ax1, ax2]: return iy else: return # # .......................................................................... # # xTL x top left # yTL y top left # xBR x bottom right # yBE y bottom right # def pt2c(ix,iy,xTL,yTL,xBR,yBR): x=xTL+(xBR-xTL)*ix/800 y=yTL+(yBR-yTL)*iy/600 c=complex(x,y) return c def d1imand(c): """ Mandelbrot series = z first derivative = z1 second derivative = z2 Diff' equation = ed = diff(f(z),z) + 3*f(z)*z = sin(z) """ for i in range(n): y2r[i] = 0.0 y2i[i] = 0.0 yed[i] = 0.0 z = c z1 = 1.0 z2 = 0.0 itr=0 ed=0 while ( itr < n) and (abs(z2) < 1000000) and ( abs(z) > 0 ): z2 =2*z1*z1 +2*z2*z z1 = 2*z*z1 + 1 u = z z = z*z+c ed = 3*z*c + z1 - np.sin(u) y2r[itr] = z.real y2i[itr] = z.imag yed[itr] = abs(ed) itr = itr+1 for i in range(200): y2r[i] = 0.0 y2i[i] = 0.0 yed[i] = 0.0 return def fracCorners(file1) : f = open(file1, 'r') x = f.read() j=0 k=0 l=0 for i in range(0,len(x)-8): ns = x[i : i+8] if ( ns=='corners=' ) : l=int(l+8) break l=int(l+1) j=l for i in range(l,len(x)-1): ns = x[i : i+1] if ( ns== "/" ) : break j=int(j+1) s=x[l:j] xTL = np.float64(s) l=j+1 j=l for i in range(l,len(x)-1): ns = x[i : i+1] if ( ns== "/" ) : break j=int(j+1) s = x[l:j] xBR = np.float64(s) l=j+1 j=l for i in range(l,len(x)-1): ns = x[i : i+1] if ( ns== "/" ) : break j=int(j+1) s=x[l:j] yBR = np.float64(s) l=j +1 j=l for i in range(l,len(x)-6): ns = x[i : i+6] if ( ns== "float=" ) : break j=int(j+1) s=x[l:j] yTL = np.float64(s) l=j j=l for i in range(l,len(x)-8): ns = x[i : i+8] if ( ns== "maxiter=" ) : j=j+8 break j=int(j+1) # l=j j=l for i in range(l,len(x)-7): ns = x[i : i+7] if ( ns== "inside=" ) : break j=int(j+1) s = x[l:j] maxiter = np.int64(s) f.close() return [xTL,yTL,xBR,yBR,maxiter] # # --------------------------- Main ----------------------------------------- # # fractint gif file and associated par file. # filegif = 'fract008.gif' filepar = 'fract.par' # # ........................................................................... # fbase = '/usr/share/xfractint/pars/' file1= fbase + filepar xyc=fracCorners(file1) xTL = xyc[0] yTL = xyc[1] xBR =xyc[2] yBR =xyc[3] maxiter=xyc[4] # fbase = '/root/' file2= fbase + filegif imageFile = cbook.get_sample_data(file2) image = plt.imread(imageFile) # # --------------------------------------------------------------------------- # # Generate data # n=maxiter x2 = np.array((np.linspace(0,n,n))) y2r = np.array((np.linspace(0,n,n))) y2i = np.array((np.linspace(0,n,n))) yed = np.array((np.linspace(0,n,n))) # # initial value for c , this to be selected from image . # c=-0.25 + 0.3j #c=-0.47 + 0.018j #c=-0.75 + 0.0014j #c=-0.0099 + 0.005j #c=-0.108516194675302 + 0.9013927770462271j #c=-0.123991033848631 + 0.7429343365256118j # # # ........................................................................... # d1imand(c) # # ------------------------------------------------------------------- # # Plot figure with subplots of different sizes fig = plt.figure(1) # set up subplot grid gridspec.GridSpec(6,6) # large subplot ax1 = plt.subplot2grid((6,6), (0,0), colspan=5, rowspan=5) plt.axis('off') plt.imshow(image, interpolation="none" ) # # # small subplot 3 ax2 = plt.subplot2grid((6,6), (5,0), colspan=6, rowspan=1) plt.locator_params(axis='x', nbins=6) plt.locator_params(axis='y', nbins=5) plt.plot(x2, y2r, 'r.-') plt.plot(x2, y2i, 'b.-') plt.plot(x2, yed, 'm.-') plt.ylabel('Magnitude') # fit subplots and save fig fig.tight_layout() cid = fig.canvas.mpl_connect('button_press_event', onclick) #fig.canvas.mpl_disconnect(cid) plt.show() exit(0) # # -------------------------------------------------------------------- # #fig.set_size_inches(w=11,h=7) #fig_name = 'plot.png' #fig.savefig(fig_name)

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Re: [Fractint] Another diff equation in Fractint
by studiomusician0 11 Dec '16

11 Dec '16

Hi, do you know of any good software that works with window 10? I wish they'd bring XP back. Thanks Tony . Sent from my Verizon, Samsung Galaxy smartphone -------- Original message --------From: sciwise(a)ihug.co.nz Date: 12/11/16 8:18 AM (GMT-05:00) To: Fractint and General Fractals Discussion <fractint(a)mailman.xmission.com> Subject: [Fractint] Another diff equation in Fractint This uses the Mandelbrot series as the base series . I used Maxima CAS to check that this iteration code was the same as that obtained via symbolic differentiation at each iteration ; they are. Two features that I noticed , firstly the 'channels' around the bulbs are filling up with 'silt' ; secondly there may now be some extra minibrots to the right of the main bulb. Overall this remains bland . Using Python I shall look at the series in more detail , however I'm not expecting much. d1iMandelbrot(XAXIS) {; Edward Montague (c) 2016 ; ; Mandelbrot series = z ; First Derivative of Mandelbrot Series = z1 ; Second Derivative of Mandelbrot Series = z2 ; ; Differential Equation is , diff(f(z),z) + 3*f(z)*z = sin(z) ; Actually w.r.t c , where c == Pixel. ; z = Pixel z1=1 z2 = 0 u = 0 ed = 0: z2 = 2*z*z2+2*z1^2 z1 = 2*z*z1+1 u = z z = z*z + Pixel ed = 3*z*Pixel + z1 - sin(u) |ed| < 10000 } _______________________________________________ Fractint mailing list Fractint(a)mailman.xmission.com https://mailman.xmission.com/cgi-bin/mailman/listinfo/fractint

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Another diff equation in Fractint
by sciwise＠ihug.co.nz 11 Dec '16

11 Dec '16

This uses the Mandelbrot series as the base series . I used Maxima CAS to check that this iteration code was the same as that obtained via symbolic differentiation at each iteration ; they are. Two features that I noticed , firstly the 'channels' around the bulbs are filling up with 'silt' ; secondly there may now be some extra minibrots to the right of the main bulb. Overall this remains bland . Using Python I shall look at the series in more detail , however I'm not expecting much. d1iMandelbrot(XAXIS) {; Edward Montague (c) 2016 ; ; Mandelbrot series = z ; First Derivative of Mandelbrot Series = z1 ; Second Derivative of Mandelbrot Series = z2 ; ; Differential Equation is , diff(f(z),z) + 3*f(z)*z = sin(z) ; Actually w.r.t c , where c == Pixel. ; z = Pixel z1=1 z2 = 0 u = 0 ed = 0: z2 = 2*z*z2+2*z1^2 z1 = 2*z*z1+1 u = z z = z*z + Pixel ed = 3*z*Pixel + z1 - sin(u) |ed| < 10000 }

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Re: [Fractint] Fractint Digest, Vol 166, Issue 1
by Jovan Trujillo 08 Dec '16

08 Dec '16

Well I now have new motivation to read Differential Equations on Fractals. Thanks sciwise! I'll have to test out this code next week when finals are over and I finally graduate. Sent from my iPhone > On Dec 5, 2016, at 12:00 PM, fractint-request(a)mailman.xmission.com wrote: > > Send Fractint mailing list submissions to > fractint(a)mailman.xmission.com > > To subscribe or unsubscribe via the World Wide Web, visit > https://mailman.xmission.com/cgi-bin/mailman/listinfo/fractint > or, via email, send a message with subject or body 'help' to > fractint-request(a)mailman.xmission.com > > You can reach the person managing the list at > fractint-owner(a)mailman.xmission.com > > When replying, please edit your Subject line so it is more specific > than "Re: Contents of Fractint digest..." > > > Today's Topics: > > 1. Maxima cas for Fractint (sciwise(a)ihug.co.nz) > > > ---------------------------------------------------------------------- > > Message: 1 > Date: Mon, 05 Dec 2016 18:22:18 +1300 > From: sciwise(a)ihug.co.nz > To: Fractint and General Fractals Discussion > <fractint(a)mailman.xmission.com> > Subject: [Fractint] Maxima cas for Fractint > Message-ID: <de06bfcfb027b2792ff64c0109b1b4ac(a)ihug.co.nz> > Content-Type: text/plain; charset=UTF-8 > > > > This is code that I've written in Maxima CAS . > > This finds the > first and second derivative of an iterated function , g(z,c) . > > To > construct a fractal substitute z:g(z,c) with the equation for g(z,c) , > > > rather than calling a function. > > Similarly for z1:g1(z,z1,c) and > z2:g2(z,z1,z2,c) . > > I've provided an example of what this should look > like. > > The validity of this approach is tested by symbolically > calculating the second > > derivative at each iteration and comparing this > with the second derivative from the > > above method. This is done for > three iterations and , if correct , will display TRUE. > > The file > difffrac1h.mac > > /* > . > > (c) 2016 , sciwise(a)ihug.co.nz . > > A general > method for defining the first and second derivatives of an > iterated > fractal function , g(z,c) . > > Some care is required to ensure that > g(0,c) is defined . > > . > */ > > /* > Example Fractint code . > > d2zmand(XAXIS){; > Edward Montague > ; Mandelbrot series = z > ; 1st Derivative of > Mandelbrot series = z1. > ; 2nd Derivative of Mandelbrot series = z2. > > z > = Pixel > z1 = 1 > z2 = 0: > z2 = 2*z1*z1 +2*z2*z > z1 = 2*z*z1 + 1 > z = > z*z+Pixel > |z2| z1 > */ > > eq:diff(g(z,c),z,1)*z1 + diff(g(0,c),c); > > define(g1(z,z1,c),eq)$ > > /* > Second Derivative --> > z2 > */ > > eq:diff(g(z,c),z,2)*z1*z1 + diff(g(z,c),z)*z2 + diff(g(0,c),c,2); > > define(g2(z,z1,z2,c),eq)$ > > /* > Initial values > */ > > z : c; > z1 : > diff(z,c); > z2 : diff(z,c,2); > > /* > > First iteration. > */ > > z2 : > g2(z,z1,z2,c); > z1 : g1(z,z1,c)$ > z : > g(z,c); > eq:diff(z,c,2); > is(equal(eq,z2)); > > /* > Second iteration. > */ > > z2 > : g2(z,z1,z2,c); > z1 : g1(z,z1,c)$ > z : > g(z,c); > eq:diff(z,c,2)$ > is(equal(eq,z2)); > > /* > Third iteration. > */ > > z2 : > g2(z,z1,z2,c); > z1 : g1(z,z1,c)$ > z : > g(z,c)$ > eq:diff(z,c,2)$ > is(equal(eq,z2)); > > /* > > */ > > And the file > difffrac1h.wxm > > /* [wxMaxima batch file version 1] [ DO NOT EDIT BY > HAND! ]*/ > /* [ Created with wxMaxima version 11.08.0 ] */ > > /* [wxMaxima: > comment start ] > . > > (c) 2016 , sciwise(a)ihug.co.nz . > > A general method > for defining the first and second derivatives of an > iterated fractal > function , g(z,c) . > > Some care is required to ensure that g(0,c) is > defined . > > . > [wxMaxima: comment end ] */ > > /* [wxMaxima: comment start > ] > Example Fractint code . > > d2zmand(XAXIS){; Edward Montague > ; > Mandelbrot series = z > ; 1st Derivative of Mandelbrot series = z1. > ; > 2nd Derivative of Mandelbrot series = z2. > > z = Pixel > z1 = 1 > z2 = 0: > > z2 = 2*z1*z1 +2*z2*z > z1 = 2*z*z1 + 1 > z = z*z+Pixel > |z2| z1 > > [wxMaxima: comment end ] */ > > /* [wxMaxima: input start ] > */ > eq:diff(g(z,c),z,1)*z1 + diff(g(0,c),c); > define(g1(z,z1,c),eq)$ > /* > [wxMaxima: input end ] */ > > /* [wxMaxima: comment start ] > Second > Derivative --> z2 > [wxMaxima: comment end ] */ > > /* [wxMaxima: input > start ] */ > eq:diff(g(z,c),z,2)*z1*z1 + diff(g(z,c),z)*z2 + > diff(g(0,c),c,2); > define(g2(z,z1,z2,c),eq)$ > /* [wxMaxima: input end ] > */ > > /* [wxMaxima: comment start ] > Initial values > [wxMaxima: comment > end ] */ > > /* [wxMaxima: input start ] */ > z : c; > z1 : diff(z,c); > z2 : > diff(z,c,2); > /* [wxMaxima: input end ] */ > > /* [wxMaxima: comment start > ] > > First iteration. > [wxMaxima: comment end ] */ > > /* [wxMaxima: input > start ] */ > > z2 : g2(z,z1,z2,c); > z1 : g1(z,z1,c)$ > z : > g(z,c); > eq:diff(z,c,2); > is(equal(eq,z2)); > /* [wxMaxima: input end ] > */ > > /* [wxMaxima: comment start ] > Second iteration. > [wxMaxima: comment > end ] */ > > /* [wxMaxima: input start ] */ > z2 : g2(z,z1,z2,c); > z1 : > g1(z,z1,c)$ > z : g(z,c); > eq:diff(z,c,2)$ > is(equal(eq,z2)); > /* [wxMaxima: > input end ] */ > > /* [wxMaxima: comment start ] > Third iteration. > > [wxMaxima: comment end ] */ > > /* [wxMaxima: input start ] */ > z2 : > g2(z,z1,z2,c); > z1 : g1(z,z1,c)$ > z : > g(z,c)$ > eq:diff(z,c,2)$ > is(equal(eq,z2)); > /* [wxMaxima: input end ] > */ > > /* [wxMaxima: comment start ] > > [wxMaxima: comment end ] */ > > /* > Maxima can't load/batch files which end with a comment! */ > "Created with > wxMaxima"$ > > > > ------------------------------ > > Subject: Digest Footer > > _______________________________________________ > Fractint mailing list > Fractint(a)mailman.xmission.com > https://mailman.xmission.com/cgi-bin/mailman/listinfo/fractint > > > ------------------------------ > > End of Fractint Digest, Vol 166, Issue 1 > ****************************************

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Re: [Fractint] Python for fractint
by sciwise＠ihug.co.nz 08 Dec '16

08 Dec '16

This is a work in progress. Unlike mainstream mathematics this is more like an experiment than a typical mathematical construct. I'm attempting to use the Mandelbrot set and the first and second derivatives thereof in the construction and solution of differential equations. Just as the Maxwell equations have a general solution in terms of a complex exponential so might other differential equations have a solution in terms of the Mandelbrot set. This is a big if and a differential equation with a known result is required ; that's my next step. This is a numerical approach that utilizes the power of Fractint to find the regions of stability ; the black regions when inside colour is numb. That's interesting about P3 , the main difference between P2 and P3 that I found is how the print statement is used. Python is unexpectedly powerful , the 3d graphics via Mayavi is something that I've been wanting for a long time. I think that the Mandelbulber program was written in Python. Sciwise On 08/12/2016 17:29, LLOYD GARRICK wrote: > Hey thanx for that! > > Cool graphs, but I am not sure exactly what they mean...... > > I am just learning Python too, the first thing I try is fractals. But it seems all the points are plotted in memory first and then the entire graph is shown. I am trying to figure how to plot points in real time so you can see it drawing. > > Your code runs in both P2 and P3 (Linux); but P3 seems much faster. > >> On December 7, 2016 at 3:00 AM sciwise(a)ihug.co.nz wrote: >> >> Maxima CAS has a few limitations , hence I now program in Python >> too. >> >> This code calculates the second derivative of the Mandelbrot >> series for an >> >> initial complex value of c . The real and imaginary >> components are then graphed. >> >> The first 80 values have been set to a >> constant so that the stable condition might >> >> be observed. >> >> File >> mltplotz.py >> >> --- code --- >> >> """ >> (c) copyright 2016 >> sciwise(a)ihug.co.nz >> >> Simple demo with multiple subplots. >> >> Derivatives >> of Mandelbrot series . >> >> """ >> import numpy as np >> import matplotlib.pyplot >> as plt >> >> n=128 >> >> x2 = np.array((np.linspace(0,n,n))) >> y2r = >> np.array((np.linspace(0,n,n))) >> y2i = np.array((np.linspace(0,n,n))) >> >> for >> i in range(n): >> y2r[i] = 0.0 >> y2i[i] = 0.0 >> >> ''' >> >> Fractal calculations >> . >> >> ''' >> >> c=-0.5 + 0.3j >> z = c >> z1 = 1.0 >> z2 = 0.0 >> >> itr=0 >> while ( itr < n) >> and (abs(z2) < 100000): >> z2 =2*z1*z1 +2*z2*z >> z1 = 2*z*z1 + 1 >> z = >> z*z+c >> y2r[itr] = z2.real >> y2i[itr] = z2.imag >> itr=itr+1 >> >> """ >> >> --------------------------------------------------------------------- >> >> Values after 60 iterations are of interest . >> >> """ >> >> for i in range(80): >> >> y2r[i] = 0.29 >> y2i[i] = 0.186 >> >> plt.subplot(2, 1, 1) >> plt.plot(x2, y2r, >> 'r.-') >> plt.title('Second Derivative of Mandelbrot >> series.') >> plt.xlabel('index') >> plt.ylabel('Real z2') >> >> plt.subplot(2, 1, >> 2) >> plt.plot(x2, y2i, 'b.-') >> plt.xlabel('index') >> plt.ylabel('Imaginary >> z2') >> >> plt.show() >> >> exit(0) >> >> _______________________________________________ >> Fractint mailing list >> Fractint(a)mailman.xmission.com >> https://mailman.xmission.com/cgi-bin/mailman/listinfo/fractint

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Python for fractint
by sciwise＠ihug.co.nz 07 Dec '16

07 Dec '16

Maxima CAS has a few limitations , hence I now program in Python too. This code calculates the second derivative of the Mandelbrot series for an initial complex value of c . The real and imaginary components are then graphed. The first 80 values have been set to a constant so that the stable condition might be observed. File mltplotz.py --- code --- """ (c) copyright 2016 sciwise(a)ihug.co.nz Simple demo with multiple subplots. Derivatives of Mandelbrot series . """ import numpy as np import matplotlib.pyplot as plt n=128 x2 = np.array((np.linspace(0,n,n))) y2r = np.array((np.linspace(0,n,n))) y2i = np.array((np.linspace(0,n,n))) for i in range(n): y2r[i] = 0.0 y2i[i] = 0.0 ''' Fractal calculations . ''' c=-0.5 + 0.3j z = c z1 = 1.0 z2 = 0.0 itr=0 while ( itr < n) and (abs(z2) < 100000): z2 =2*z1*z1 +2*z2*z z1 = 2*z*z1 + 1 z = z*z+c y2r[itr] = z2.real y2i[itr] = z2.imag itr=itr+1 """ --------------------------------------------------------------------- Values after 60 iterations are of interest . """ for i in range(80): y2r[i] = 0.29 y2i[i] = 0.186 plt.subplot(2, 1, 1) plt.plot(x2, y2r, 'r.-') plt.title('Second Derivative of Mandelbrot series.') plt.xlabel('index') plt.ylabel('Real z2') plt.subplot(2, 1, 2) plt.plot(x2, y2i, 'b.-') plt.xlabel('index') plt.ylabel('Imaginary z2') plt.show() exit(0)

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Maxima cas for Fractint
by sciwise＠ihug.co.nz 05 Dec '16

05 Dec '16

This is code that I've written in Maxima CAS . This finds the first and second derivative of an iterated function , g(z,c) . To construct a fractal substitute z:g(z,c) with the equation for g(z,c) , rather than calling a function. Similarly for z1:g1(z,z1,c) and z2:g2(z,z1,z2,c) . I've provided an example of what this should look like. The validity of this approach is tested by symbolically calculating the second derivative at each iteration and comparing this with the second derivative from the above method. This is done for three iterations and , if correct , will display TRUE. The file difffrac1h.mac /* . (c) 2016 , sciwise(a)ihug.co.nz . A general method for defining the first and second derivatives of an iterated fractal function , g(z,c) . Some care is required to ensure that g(0,c) is defined . . */ /* Example Fractint code . d2zmand(XAXIS){; Edward Montague ; Mandelbrot series = z ; 1st Derivative of Mandelbrot series = z1. ; 2nd Derivative of Mandelbrot series = z2. z = Pixel z1 = 1 z2 = 0: z2 = 2*z1*z1 +2*z2*z z1 = 2*z*z1 + 1 z = z*z+Pixel |z2| z1 */ eq:diff(g(z,c),z,1)*z1 + diff(g(0,c),c); define(g1(z,z1,c),eq)$ /* Second Derivative --> z2 */ eq:diff(g(z,c),z,2)*z1*z1 + diff(g(z,c),z)*z2 + diff(g(0,c),c,2); define(g2(z,z1,z2,c),eq)$ /* Initial values */ z : c; z1 : diff(z,c); z2 : diff(z,c,2); /* First iteration. */ z2 : g2(z,z1,z2,c); z1 : g1(z,z1,c)$ z : g(z,c); eq:diff(z,c,2); is(equal(eq,z2)); /* Second iteration. */ z2 : g2(z,z1,z2,c); z1 : g1(z,z1,c)$ z : g(z,c); eq:diff(z,c,2)$ is(equal(eq,z2)); /* Third iteration. */ z2 : g2(z,z1,z2,c); z1 : g1(z,z1,c)$ z : g(z,c)$ eq:diff(z,c,2)$ is(equal(eq,z2)); /* */ And the file difffrac1h.wxm /* [wxMaxima batch file version 1] [ DO NOT EDIT BY HAND! ]*/ /* [ Created with wxMaxima version 11.08.0 ] */ /* [wxMaxima: comment start ] . (c) 2016 , sciwise(a)ihug.co.nz . A general method for defining the first and second derivatives of an iterated fractal function , g(z,c) . Some care is required to ensure that g(0,c) is defined . . [wxMaxima: comment end ] */ /* [wxMaxima: comment start ] Example Fractint code . d2zmand(XAXIS){; Edward Montague ; Mandelbrot series = z ; 1st Derivative of Mandelbrot series = z1. ; 2nd Derivative of Mandelbrot series = z2. z = Pixel z1 = 1 z2 = 0: z2 = 2*z1*z1 +2*z2*z z1 = 2*z*z1 + 1 z = z*z+Pixel |z2| z1 [wxMaxima: comment end ] */ /* [wxMaxima: input start ] */ eq:diff(g(z,c),z,1)*z1 + diff(g(0,c),c); define(g1(z,z1,c),eq)$ /* [wxMaxima: input end ] */ /* [wxMaxima: comment start ] Second Derivative --> z2 [wxMaxima: comment end ] */ /* [wxMaxima: input start ] */ eq:diff(g(z,c),z,2)*z1*z1 + diff(g(z,c),z)*z2 + diff(g(0,c),c,2); define(g2(z,z1,z2,c),eq)$ /* [wxMaxima: input end ] */ /* [wxMaxima: comment start ] Initial values [wxMaxima: comment end ] */ /* [wxMaxima: input start ] */ z : c; z1 : diff(z,c); z2 : diff(z,c,2); /* [wxMaxima: input end ] */ /* [wxMaxima: comment start ] First iteration. [wxMaxima: comment end ] */ /* [wxMaxima: input start ] */ z2 : g2(z,z1,z2,c); z1 : g1(z,z1,c)$ z : g(z,c); eq:diff(z,c,2); is(equal(eq,z2)); /* [wxMaxima: input end ] */ /* [wxMaxima: comment start ] Second iteration. [wxMaxima: comment end ] */ /* [wxMaxima: input start ] */ z2 : g2(z,z1,z2,c); z1 : g1(z,z1,c)$ z : g(z,c); eq:diff(z,c,2)$ is(equal(eq,z2)); /* [wxMaxima: input end ] */ /* [wxMaxima: comment start ] Third iteration. [wxMaxima: comment end ] */ /* [wxMaxima: input start ] */ z2 : g2(z,z1,z2,c); z1 : g1(z,z1,c)$ z : g(z,c)$ eq:diff(z,c,2)$ is(equal(eq,z2)); /* [wxMaxima: input end ] */ /* [wxMaxima: comment start ] [wxMaxima: comment end ] */ /* Maxima can't load/batch files which end with a comment! */ "Created with wxMaxima"$

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Another series derivative
by sciwise＠ihug.co.nz 25 Nov '16

25 Nov '16

This is the first derivative of the iteration z= sin(z) + c . I'm standardizing the variables , z for series , u for first derivative, v for second derivative. d1cos(XAXIS){; Edward Montague ; (c) Copyright 2016 ; ; z = sin(z) + c ; 1st derivative of z series = u. ; c = Pixel z = c u = 1 u0 = u: u = cos(z)*u + u0 z = sin(z)+c |u| < 10000 }

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Re: [Fractint] I live in New Zealand , where there are major fault lines around the country.
by Harold Lane 22 Nov '16

22 Nov '16

> I live in New Zealand , where there are major fault lines around the > country. Were you affected by the current earthquake and aftershocks? Are you OK? - Hal Lane ######################## # hallane(a)earthlink.net ######################## ---------------Original Message----------------------------------- From: Fractint [mailto:fractint-bounces+hallane=earthlink.net@mailman.xmission.com] On Behalf Of sciwise(a)ihug.co.nz Sent: Saturday, October 29, 2016 9:48 AM To: fractint(a)mailman.xmission.com Subject: Re: [Fractint] We're still alive and well at Fractal Central Hi I live in New Zealand , where there are major fault lines around the country. The Christchurch earthquake that made the news a few years ago was quite devastating ; problems with liquefaction , in the suburbs persist through to the present. The inner city was built upon basaltic rock , nevertheless there was widespread damage to new and old buildings alike. Prior to the earthquake various oil companies were using horizontal drilling in an attempt to find oil and gas deposits. Of course earthquake fissures assume a fractal pattern. If you've ever read about Nikola . Tesla then you might appreciate how he was dealing with fractal objects ; like the electrical discharges that he was so well known for. Sciwise On 28/10/2016 ---------------------------------16:48, Kathleen Roth wrote: --------------- > "I was told that the truth of the matter > is that these days a skyscraper can be built on a swamp, and that the force > distributing buildings large and small over the island was the aggregate of > many financial decisions by developers over the centuries." > > Interesting to see this discussion here. In fact, very much in the news in > the San Francisco Bay Area is the Millennium tower that was completed > in 2009. It does not have a foundation that goes to bedrock. It has 58 stories and a foundation that goes ~80 feet into > bay-fill that can liquefy in an earthquake. It has been sinking at > a much faster rate than predicted and is now tilting. > They are claiming that it is still safe in an earthquake. > My medium-sized wood frame house near the Hayward fault has concrete piers that > go 14-24' into the ground, into bedrock. > > http://www.sfchronicle.com/bayarea/article/As-charges-fly-in-SF-tests-begin- on-sinking-9289898.php [12] > > http://sf.curbed.com/2016/9/16/12945600/why-millennium-tower-sinking [13] > > Kathy Roth > > ----- Original Message ----- > From: "Timothy Wegner" > To: "Fractint and General Fractals Discussion" > Sent: Thursday, October 27, 2016 7:37:23 PM > Subject: Re: [Fractint] We're still alive and well at Fractal Central > > David wrote: > >> Everyone has their own personal PTSD reaction to the 9/11/01 WTC attacks > > I just returned from a visit to NYC for the first time in 35 years. The > visit to the 911 memorial was certainly an intense experience. While not > exactly a fractal, a giant twisted beam in the basement had assumed a shape > I found strange indeed. The rectangle-based structure of the beam built > originally straight from Plato's world of forms had morphed into multiple > twists and loops under forces beyond imagination. The result was a > sculpture that looked more from nature than human imagination. > > Manhatten itself can be seen, from one perspective, as a fractal. I asked > about the distribution of the buildings and skyscrapers. While possibly > true once, the oft-repeated claim that the sturdy New York bedrock is what > permitted the over-scale buildings, I was told that the truth of the matter > is that these days a skyscraper can be built on a swamp, and that the force > distributing buildings large and small over the island was the aggregate of > many financial decisions by developers over the centuries. > > My condolences also to Jim concerning the fractal cat. > > Tim > > On Thu, Oct 27, 2016 at 8:54 PM, David Jones wrote: > >> Everyone has their own personal PTSD reaction to the 9/11/01 WTC attacks. I guess Jim's choice to turn to the "irrational" side of the Force is his. ;) David W. Jones gnome(a)hawaii.rr.com [7] authenticity, honesty, community http://dancingtreefrog.comOn [8] Oct 27, 2016 15:07, John Wilson < 1stdiscus(a)gmail.com [9]> wrote: >> >>> Really? "I find it easier to believe than something unknown is creating the more intricate of these formations other than a couple guys with boards or groups who show that at least the more simple circles could be done by humans in one night." How about--- http://www.mymodernmet.com/profiles/blogs/simon-beck- [1] >> snow-art >> >>> One guy only! He hasn't enlisted any unknowns either. John W. On 27 October 2016 at 11:49, Jim Muth wrote: >>> >>>> Fractal fans of years past: We're still alive and kicking here at Fractal Central, but things have not been going too well in the past couple months. To start, we found a one week old abandoned kitten in the fractal yard on July 31, which we bottle fed until it was old enough to take care of itself. Then the oldest fractal cat, Nicholas, passed away on September 27, and we decided to keep the orphan kitten, which is a little girl we named Riley. The new girl is now 14 weeks old and learning how to get along with the established cats, Jasmine and Lida. But being raised by humans, she does not yet know how to properly interact with other cats, and some occasional hissing and growling still occurs. As for the fractals, I am still very interested in them, but I am also becoming quite interested in things that are not totally rational, such as alien abductions, crop circles, bigfoots, hauntings and other things widely considered paranormal. I have never seen a convincing image of an alien, ghost or bigfoot on a TV show, but crop circles definitely have existed. The photos are plentiful, and despite the claims that they are all hoaxes, which appears to satisfy skeptics, I find it easier to believe that something unknown is creating the more intricate of these formations other than a couple guys with boards or groups who show that at least the more simple circles could be done by humans in one night. Perhaps the most intriguing thing of all I have gotten into is the furor between materialists and idealists over the meaning of the quantum discoveries of the past almost 100 years as they apply to the everyday world. I see materialists defending their position that the material world is real, while idealists are claiming that material is an illusion created by the mind, a belief that supports the mystical claims of eastern religions. Since no one really understands the quantum, both sides can spin the quantum discoveries and results of experiments to make it appear as their own theory of reality is true, but to me at least, it appears that the materialist side is doing the greater amount of spinning. I also notice that materialists are quicker to slip into anger and launch ad hominem attacks when they have no real rebuttal of idealist claims. To me this is how people react when they begin to doubt their own beliefs. Then again, maybe it's all a tempest in a teapot . . . Jim M. _______________________________________________ Fractint mailing list Fractint(a)mailman.xmission.com [2] https://mailman.xmission.com/cgi-bin/mailman/listinfo/fractint [3] >>> _______________________________________________ Fractint mailing list Fractint(a)mailman.xmission.com [5] https://mailman.xmission.com/cgi-bin/mailman/listinfo/fractint [6] >> _______________________________________________ Fractint mailing list Fractint(a)mailman.xmission.com [10] https://mailman.xmission.com/cgi-bin/mailman/listinfo/fractint [11] > > _______________________________________________ > Fractint mailing list > Fractint(a)mailman.xmission.com [17] > https://mailman.xmission.com/cgi-bin/mailman/listinfo/fractint [18] > > _______________________________________________ > Fractint mailing list > Fractint(a)mailman.xmission.com [19] > https://mailman.xmission.com/cgi-bin/mailman/listinfo/fractint [20] Links: ------ [1] http://www.mymodernmet.com/profiles/blogs/simon-beck- [2] mailto:Fractint@mailman.xmission.com [3] https://mailman.xmission.com/cgi-bin/mailman/listinfo/fractint [4] mailto:jimmuth@earthlink.net [5] mailto:Fractint@mailman.xmission.com [6] https://mailman.xmission.com/cgi-bin/mailman/listinfo/fractint [7] mailto:gnome@hawaii.rr.com [8] http://dancingtreefrog.comOn [9] mailto:1stdiscus@gmail.com [10] mailto:Fractint@mailman.xmission.com [11] https://mailman.xmission.com/cgi-bin/mailman/listinfo/fractint [12] http://www.sfchronicle.com/bayarea/article/As-charges-fly-in-SF-tests-begin- on-sinking-9289898.php [13] http://sf.curbed.com/2016/9/16/12945600/why-millennium-tower-sinking [14] mailto:tim@tswegner.net [15] mailto:fractint@mailman.xmission.com [16] mailto:gnome@hawaii.rr.com [17] mailto:Fractint@mailman.xmission.com [18] https://mailman.xmission.com/cgi-bin/mailman/listinfo/fractint [19] mailto:Fractint@mailman.xmission.com [20] https://mailman.xmission.com/cgi-bin/mailman/listinfo/fractint _______________________________________________ Fractint mailing list Fractint(a)mailman.xmission.com https://mailman.xmission.com/cgi-bin/mailman/listinfo/fractint --- This email has been checked for viruses by Avast antivirus software. https://www.avast.com/antivirus

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A Differential Equation
by sciwise＠ihug.co.nz 14 Nov '16

14 Nov '16

Continuing from previous posts on the topic of the derivative[s] of the Mandelbrot Series. I now attempt to examine the regions of stability for this D.E. y'' + y' + y'*y' + y - exp(y*y') = 0 Where I set y equal to the Mandelbrot series , with initial conditions determined by the value of Pixel. I remain uncertain at this stage as to how to interpret the results. I'm assuming that the regions with the fewest iterations are what we require. Another approach to solving second order differential equations is to use the Euler - Heun method ; this however provides less information as it's usually implemented as a purely numerical approach. Non linear differential equations have been difficult to solve as the elementary functions don't provide the scope required. Anyway here's the code . de2bmand(XAXIS){; Edward Montague ; 2nd order non linear differential equation = z. ; y'' + y' + y'*y' + y - exp(y*y') = 0 ; 2nd derivative of mandelbrot series = w. ; 1st derivative of mandelbrot series = u. ; Mandelbrot series = v v = Pixel u = 1 w = 0 z = 0: w = 2*u*u +2*w*v u = 2*v*u + 1 z = w +u + u*u + v - exp(v*u) v = v*v+Pixel |z| < 1 }

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Re: [Fractint] We're still alive and well at Fractal Central
by David Jones 29 Oct '16

29 Oct '16

Everyone has their own personal PTSD reaction to the 9/11/01 WTC attacks. I guess Jim's choice to turn to the "irrational" side of the Force is his. ;) David W. Jones gnome(a)hawaii.rr.com authenticity, honesty, community http://dancingtreefrog.comOn Oct 27, 2016 15:07, John Wilson <1stdiscus(a)gmail.com> wrote: > > Really? > "I find it easier to believe than something unknown is creating the more > intricate of these formations other than a couple guys with boards or > groups who show that at least the more simple circles could be done by > humans in one night." > > How about--- http://www.mymodernmet.com/profiles/blogs/simon-beck-snow-art > > One guy only! He hasn't enlisted any unknowns either. > > John W. > > On 27 October 2016 at 11:49, Jim Muth <jimmuth(a)earthlink.net> wrote: > > > > > Fractal fans of years past: > > > > We're still alive and kicking here at Fractal Central, > > but things have not been going too well in the past > > couple months. To start, we found a one week old > > abandoned kitten in the fractal yard on July 31, which > > we bottle fed until it was old enough to take care of > > itself. Then the oldest fractal cat, Nicholas, passed > > away on September 27, and we decided to keep the > > orphan kitten, which is a little girl we named Riley. > > The new girl is now 14 weeks old and learning how to > > get along with the established cats, Jasmine and Lida. > > But being raised by humans, she does not yet know how > > to properly interact with other cats, and some > > occasional hissing and growling still occurs. > > > > As for the fractals, I am still very interested in > > them, but I am also becoming quite interested in > > things that are not totally rational, such as alien > > abductions, crop circles, bigfoots, hauntings and > > other things widely considered paranormal. I have > > never seen a convincing image of an alien, ghost or > > bigfoot on a TV show, but crop circles definitely > > have existed. The photos are plentiful, and despite > > the claims that they are all hoaxes, which appears to > > satisfy skeptics, I find it easier to believe that > > something unknown is creating the more intricate of > > these formations other than a couple guys with boards > > or groups who show that at least the more simple > > circles could be done by humans in one night. > > > > Perhaps the most intriguing thing of all I have gotten > > into is the furor between materialists and idealists > > over the meaning of the quantum discoveries of the > > past almost 100 years as they apply to the everyday > > world. I see materialists defending their position > > that the material world is real, while idealists are > > claiming that material is an illusion created by the > > mind, a belief that supports the mystical claims of > > eastern religions. Since no one really understands > > the quantum, both sides can spin the quantum > > discoveries and results of experiments to make it > > appear as their own theory of reality is true, but to > > me at least, it appears that the materialist side is > > doing the greater amount of spinning. I also notice > > that materialists are quicker to slip into anger and > > launch ad hominem attacks when they have no real > > rebuttal of idealist claims. To me this is how people > > react when they begin to doubt their own beliefs. > > > > Then again, maybe it's all a tempest in a teapot . . . > > > > Jim M. > > > > _______________________________________________ > > Fractint mailing list > > Fractint(a)mailman.xmission.com > > https://mailman.xmission.com/cgi-bin/mailman/listinfo/fractint > > > _______________________________________________ > Fractint mailing list > Fractint(a)mailman.xmission.com > https://mailman.xmission.com/cgi-bin/mailman/listinfo/fractint

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We're still alive and well at Fractal Central
by Jim Muth 28 Oct '16

28 Oct '16

Fractal fans of years past: We're still alive and kicking here at Fractal Central, but things have not been going too well in the past couple months. To start, we found a one week old abandoned kitten in the fractal yard on July 31, which we bottle fed until it was old enough to take care of itself. Then the oldest fractal cat, Nicholas, passed away on September 27, and we decided to keep the orphan kitten, which is a little girl we named Riley. The new girl is now 14 weeks old and learning how to get along with the established cats, Jasmine and Lida. But being raised by humans, she does not yet know how to properly interact with other cats, and some occasional hissing and growling still occurs. As for the fractals, I am still very interested in them, but I am also becoming quite interested in things that are not totally rational, such as alien abductions, crop circles, bigfoots, hauntings and other things widely considered paranormal. I have never seen a convincing image of an alien, ghost or bigfoot on a TV show, but crop circles definitely have existed. The photos are plentiful, and despite the claims that they are all hoaxes, which appears to satisfy skeptics, I find it easier to believe that something unknown is creating the more intricate of these formations other than a couple guys with boards or groups who show that at least the more simple circles could be done by humans in one night. Perhaps the most intriguing thing of all I have gotten into is the furor between materialists and idealists over the meaning of the quantum discoveries of the past almost 100 years as they apply to the everyday world. I see materialists defending their position that the material world is real, while idealists are claiming that material is an illusion created by the mind, a belief that supports the mystical claims of eastern religions. Since no one really understands the quantum, both sides can spin the quantum discoveries and results of experiments to make it appear as their own theory of reality is true, but to me at least, it appears that the materialist side is doing the greater amount of spinning. I also notice that materialists are quicker to slip into anger and launch ad hominem attacks when they have no real rebuttal of idealist claims. To me this is how people react when they begin to doubt their own beliefs. Then again, maybe it's all a tempest in a teapot . . . Jim M.

4 3

Condolence
by John Wilson 28 Oct '16

28 Oct '16

BTW, Jim. So sorry about Nicholas--- I think he was a friend of all of those who followed your works. John W.

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Re: [Fractint] We're still alive and well at Fractal Central
by David Jones 27 Oct '16

27 Oct '16

On Oct 27, 2016 09:37, Bill Jemison wrote: > > On Thu, Oct 27, 2016 at 12:49 PM, Jim Muth wrote: > > > maybe it's all a tempest in a teapot . . . > > > > or maybe it's all a tempest in a teapot in a tempest in a teapot in a > tempest etc... > > Bill > audiofractals <https://sites.google.com/site/audiofractals/home> Reality is a figment of your imagination. Reality is what kills you. David W. Jones gnome(a)hawaii.rr.com authenticity, honesty, community http://dancingtreefrog.com

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Looking the other way
by sciwise＠ihug.co.nz 15 Oct '16

15 Oct '16

If you look at the fractal generated by my differential equation , for |z| > 10000 ; then the traditional Mandelbrot set appears plus embellishments. I shall examine a more well known differential equation at some other stage. There are various to choose from. Sciwise

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Things at Fractal Central
by Jim Muth 09 Sep '16

09 Sep '16

Fractal fans: We've been on a long and I might add well-earned vacation over the past month. Fractal Central is still up and running, but while we have been taking it easy, I have had lots of time to ponder the scientific and philosophical mysteries of existence, which to me now seem more relevant to everyday life than fractals, which yet remain great fun. I'll have more to say in the next few days. But hopefully, I will not start an overheated debate. JIM M.

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Removal of malware delivered by link in recent off-topic post
by Harold Lane 23 Aug '16

23 Aug '16

Albrecht Niekamp requested that I: - post info on how to remove the malware delivered by the recent off-topic [Fractint] post, and - request that Tim Wegner remove the post containing the link to the malware. Here is some of what Albrecht sent me: > Suppose you place a warning in the Fractint forums and have the administrator (Tim) remove it from the archives - it IS there !! > Probably some [Fractint List] users are now having severe problems and cannot deal with them. > Remember I had more then 40 (fourty!) infections and it´s some kind of miracle how i got rid of them. To remove the large number of malware items that the link installs, Albrecht said to: [I searched for and added the links -Hal] > Proceed as follows (my advice) > Use the "Wise cleaner" to clean the browser cache and Winsxs: > http://www.wisecleaner.com/ ($) > Use the "Emsisoft Emergency Kit" for a manual scan, [of your] complete computer: > https://www.emsisoft.com/en/software/eek/ > also [use] the "ADW Cleaner": > http://download.cnet.com/AdwCleaner/3000-7786_4-75851221.html > All found items must be deleted, not quarantined, also [delete these] from your antivirus software. > After the system restart you´re probably ok, I was. Albrecht, Sorry for the delay in posting this. Tim, Is it feasible to remove this [Fractint] post containing the malware-delivering link? : . Author: cb . Date: 2016-08-19 23:54 -400 . To: do-not-reply, joey, fractint, partner . Subject: [Fractint] Fw: previous experience - Hal Lane ######################## # hallane(a)earthlink.net ######################## -----Original Message----- From: Albrecht Niekamp [mailto:xxfractalist@outlook.com] Sent: Sunday, August 21, 2016 9:16 AM To: Harold Lane <hallane(a)earthlink.net> Subject: Fractint threat Hope, you were lucky. If you clicked on the link you probably were not. Yesterday in the news was a warning about a new spy ware threat which is more powerful then any one seen before. I had about 40 to 50 spyware and trojan items in the Firefox cache: Users/your name/appdata/ roaming . Suppose you place a warning in the Fractint forums and have the administrator (Tim) remove it from the archives - it IS there !! Proceed as follwos (my advice) Use the "Wise cleaner" to clean the browser cache and Winsxs. Use the "Emsisoft Emergency Kit" for a manual scan, complete computer, also the "ADW Cleaner". All found items must be deleted, not quarantined, also from your antivirus software. After the system restart you´re probably ok, I was. Tell me if you need the adresses, the items should be easy to find, but only on their own locations. Albrecht --- This email has been checked for viruses by Avast antivirus software. https://www.avast.com/antivirus

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Fw: previous experience
by cb 20 Aug '16

20 Aug '16

Yo! I wanted to ask you whether you have any previous experience of this type of work? Here are some questions for you <http://machawosli.deadbirdrentals.com/lnbijv> My best to you, cb

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d2mand
by sciwise＠ihug.co.nz 18 Aug '16

18 Aug '16

The 2nd derivative of the Mandelbrot Series. d2mand(XAXIS){; Edward Montague ; 2nd derivative of mandelbrot series = z. ; Mandelbrot series = v v = Pixel u = 1 z = 0: z = 2*u*u +2*z*v u = 2*v*u + 1 v = v*v+Pixel |z|

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dManddz
by sciwise＠ihug.co.nz 11 Aug '16

11 Aug '16

Various routines for examining the Mandelbrot series , some of these generate a rather bland image . This isn't necessarily a bad thing as this might mean that we are taming the chaotic nature of the initializing fractal. d1Mandelbrot(XAXIS) {; Edward Montague ; First Derivative of Mandelbrot Series. x = Pixel z = 1 : z = 2*x*z+1 x = x*x + Pixel |z| < 1000000 } p1Mandelbrot(XAXIS) {; Edward Montague ; Phase of Mandelbrot Series. x = Pixel y = 1 : y = 2*x*y+1 z = y/x x = x*x + Pixel |z| < 1000000 } i1Mandelbrot(XAXIS) {; Edward Montague ; First normalized summation of Mandelbrot Series. z = Pixel s = 0 n = 1 : z = z*z+Pixel s = s+z u = s/n n=n+1 |u| < 4 } f1Mandelbrot(XAXIS) {; Edward Montague ; First summation of function 1 using Mandelbrot Series. z = Pixel s = 0 n = 1 : z = z*z+Pixel s = s+sin(z) u = s/n n=n+1 |u| < 0.5 }

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Re: [Fractint] Color Cycling fascinates
by Harold Lane 18 Jul '16

18 Jul '16

> Color Cycling fascinates Thanks for the video. However, it strikes me that each frame of the video was likely calculated separately. With CPUs as powerful as they are today, I don't think this is an unreasonable conjecture. When only slower CPUs were available, clever color maps and color cycling were an easy way to create a sense of motion in a fractal (or other) image. Today, one can just go ahead and calculate every frame, each with slightly differing parameters. - Hal Lane ######################## # hallane(a)earthlink.net ######################## -----Original Message----- From: Fractint [mailto:fractint-bounces@mailman.xmission.com] On Behalf Of Ram Peloquin Sent: Monday, July 18, 2016 11:33 AM To: Fractint and General Fractals Discussion <fractint(a)mailman.xmission.com> Subject: Re: [Fractint] FOTD -- July 14, 2016 https://www.youtube.com/watch?v=I2WF0geuvR8&list=PLBkNnWUgzsALI3c0h3onrHUjSh VOomC_Z Color Cycling fascinates On Fri, Jul 15, 2016 at 9:32 PM, Mike Frazier <fractonorg(a)gmail.com> wrote: > The zoom into the upper bud just finished after 5 hours. The image is > still too small and needs more anti-aliasing but it looks similar to > the logo on Jim's web site. Here is the image. > > > http://dl.dropboxusercontent.com/u/33642054/image/fotd_20160714_b_200_ > 2_dz.jpg > > -- > Mike Frazier > www.fracton.org > _______________________________________________ > Fractint mailing list > Fractint(a)mailman.xmission.com > https://mailman.xmission.com/cgi-bin/mailman/listinfo/fractint > _______________________________________________ Fractint mailing list Fractint(a)mailman.xmission.com https://mailman.xmission.com/cgi-bin/mailman/listinfo/fractint --- This email has been checked for viruses by Avast antivirus software. https://www.avast.com/antivirus

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FOTD -- July 14, 2016
by Jim Muth 18 Jul '16

18 Jul '16

FOTD -- July 14, 2016 (Rating A-8,M-9) Fractal visionaries and enthusiasts: Today's image is indeed out of order. As can be seen in the X and Y coordinates, it lies on the west shore line of the northern branch of Scepter Valley of the classic Mandelbrot Set. Its exact location is in the center of a minibrot. But the centers of minibrots are points of infinite iterations, so what right does today's very non-blank scene have to be located there? This is the big mystery, in fact it is the greatest mystery I have yet discovered in my 25 years or so of fractal exploration. And what right does today's fractal have to contain an outer ring of 20 elements and an inner ring of 22? This is certainly not a 'powers-of-two' series. All I have is questions. I have no answers. Do not try to reach a minibrot at the center of today's image. There is none! The whole scene is already inside a minibrot. The number of elements continues increasing in steps of two as we go deeper. There might be something open at the center, where increasing the maxiter will take us no deeper, but with my 200mhz machine, I am not going to look for it. The name "Out of Order" refers to the strange series of numbers of elements around whatever if anything lies at the center of today's image. The art worth of the image is an 8, while the math rates a 9. The calculation time of a half-hour is true on my ancient 200mhz unit. On anything more modern, the image will finish in a few minutes. Curiously, if the outside is set to 'TDIS' the image will take many times longer to finish. I still wonder if the unexpected detail that makes up today's image is a mere artifact of mathematical imprecision, or perhaps a flaw in the HyperMandelbrot2 formula itself. But whatever, the images this formula draws can be very unexpected, and in a week or so I'll probably have another one. The weather was hot and humid here at Fractal Central today, with a brief but very heavy shower at noon that dropped 2cm of rain in 10 minutes but did nothing to cool things down. The afternoon high reached 93F 34C. FL spent some afternoon time repairing her garden where an overflowing rain gutter washed out loose soil. The fractal cats spent most of the day sleeping and watching for unwanted cats, while I browsed the internet, where materialists debate idealists over quantum interpretations. The next FOT-'D' (I have returned to the traditional fot-'D' name) will appear in a few days more or less. Until that wonderful time arrives, take care, and I see there is a kind of undeclared war on the internet between the warriors of reason who defend the classic Newtonian world view of material reality and the insurgents who claim that quantum theory has shown that the objective world of material is an unreal illusion. I don't know which side is right, maybe both or neither; nor do I care very much. But the righteous rhetoric is amusing, with materialistic rationalists vigorously disagreeing with some of their own scientists who, by following the scientific method, have come to conclusions that give credence to the philosophy of idealism. Actually, the battle could already be settled, since quantum theory has been preaching metaphysics for 80 or 90 years, and our hi-tech electronic devices, which have been using quantum principles for almost as long, are still working as they should. (In most cases, that is!) More later . . . Jim (just an objective observer) Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Out_of_Order { ; time=0:31:10.54 SF5 at 200MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=HyperMandelbrot2 passes=1 outside=real center-mag=-1.250873937262811/+0.02375785984453591\ /7.97e+009/1/-147/0 params=0/0/0/0/0.25/0/1e-100/0 float=y maxiter=3000 inside=0 periodicity=0 colors=000RAFR9DWEL_ITcN_gRgkVngXjcZg``cXb`TdXQfUO\ kUMhQIjNQm`NlXLlUJkQHnNAqS1sY3tW4sV6rT7qS8pRAoPBnO\ DmMElLGKnFYZ6M_8QY9TWAWUBZSCbQDeOEhMhvPctOZrNUpMPn\ LKlKA3KB6UB9ZBCcCFhCImCLpDOsDRuDUwEXvE_uEatFcsFerG\ fqHhpIioJkmKmkKmiKmgKmeKmcKm`KmYKmWKmTKmRKmOKmMh5c\ f8adB`bE_`GZZJXXMWVOVURUSUSQWROZQMaPKcNIfMGiL0uu2t\ q3sn5rjAqgFpcKo`PnXUmUZpQcsNmv2wz4zz5vv6vr7um8so9o\ qAiqBcoD_mEWkFSiGOeHLaIKYJKU7UR9mTAmVBhYCg_Df`EabF\ XdGSfHNhIIjJmjaik_fkYckX`kVYkTUkSRkQOkOLkNIkLazqXw\ jStcOqXJnQkpEbnGVmHNlJ559668767876975975A67B68C59D\ 5BE4CF4DG4FH3GI3HJ2JK2KK2LJ7MIBNHGNGKOFPOETPEYPDaQ\ CfQBjRAoR9sS9wS8vV8vX7vZ7v`6uc6ue6ugIuiUtlZtnctpht\ rmuprvovwnzwlzxkzyjzyizebzMWzQPzTJzWDzZ7z_9z_Az_Cz\ _Dz_Fz_Gz_Iz_JzYLzXMzVOzUPzSQwRSuPTsOVqMWoLXmJZkI_\ jH`iNchSfgNefJeeFddBdc7dbDfaKg`Kh_KiZKjYKkXKmWKoVK\ qUKsTKtSKuRKvQKwPKxOKyNKz } frm:HyperMandelbrot2 {; periodicity must be turned off a=(p1),b=(p2): q=sqr(a)-sqr(b)+pixel, b=(p3+2)*a*b+p4, a=q, |a|+|b| <= 100 } END PARAMETER FILE=========================================

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// reRE: FOTD -- July 14, 2016 //
by Harold Lane 16 Jul '16

16 Jul '16

Thanks for the copy of your zoom! It certainly does look like something is going on there. > ...definitely is some interesting stuff in the buds at the top and bottom. Yes, indeed. I believe that increasing the Maxiter to that high value is what got you the buds. Even increasing it from the original 3000 to 4000 got me changes to one of the "investigation" images I'm going to post to the list. - Hal Lane (\__/) ######################## (='.'=) # hallane(a)earthlink.net (")_(") ######################## -----Original Message----- From: Fractint [mailto:fractint-bounces@mailman.xmission.com] On Behalf Of Mike Frazier Sent: Friday, July 15, 2016 1:20 PM To: Fractint and General Fractals Discussion <fractint(a)mailman.xmission.com> Subject: Re: [Fractint] FOTD -- July 14, 2016 I was curious to see what was at the center. I had to increase the maximum iterations to 500,000 and zoom to a magnification of 1.5E18. Unfortunately I also had to use arbitrary precision arithmetic which made a very slow fractal even slower. I am not sure what to call the object there, but here is what I saw: http://dl.dropboxusercontent.com/u/33642054/image/fotd_20160714_200_2_dz.jpg Sorry the image is so small but even with this size it took 4 hours. There definitely is some interesting stuff in the buds at the top and bottom. If I get time I will try one more zoom into one of those. -- Mike Frazier www.fracton.org _______________________________________________ Fractint mailing list Fractint(a)mailman.xmission.com https://mailman.xmission.com/cgi-bin/mailman/listinfo/fractint --- This email has been checked for viruses by Avast antivirus software. https://www.avast.com/antivirus

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PC World on how to run DOS on 32- and 64-bit Windows 10
by david 10 Jul '16

10 Jul '16

http://www.pcworld.com/article/3085032/windows/how-to-run-a-dos-program-in-… Might be useful for DOS Fractint users feeling betrayed by newer Windows. -- David W. Jones gnome(a)hawaii.rr.com authenticity, honesty, community http://dancingtreefrog.com

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FOTX -- July 04, 2016
by Jim Muth 08 Jul '16

08 Jul '16

FOTD -- July 04, 2016 (Rating A-8, M-8.5) Fractal visionaries and enthusiasts: Welcome back to the latest incarnation of the FOTD, a real blast from the past, when the art aspect of fractals, along with their complex math, was the trendy thing among the intelligentsia of the then modern world. Those halcyon days are gone of course, along with the final traces of my optimistic view of the world and its burden of humanity. But the abstract world of fractals continues unchanged, and always will continue in its strange state of semi-existence, even long after the planet has vanished and no life remains in the heat-dead universe. Due to recent world events and the poor outlook for the future, my mood of cynical depression has grown stronger over the past several weeks. The fractals have been so few and far between because I find it hard to write the FOTD discussion without drifting into controversial, off-topic things such as religion, philosophy, science and technology, mysticism, not to mention politics. And all of these would likely lead to debates on the list that would be more appropriate elsewhere on the net. Today's fractal, which I named "Mangled MandelMini" features a mangled minibrot that is filled with strange fractal stuff rather than being empty, as all proper mandel midgets should be. The generating formula draws weird four-dimensional Mandelbrot sets. I'm not sure how the formula works, since today's real(p4) parameter is so minute that it should have no effect. But change this parameter to total zero and see how important that infinitesimal one-googolth is to the appearance of the central minibrot, which loses all its detail and can be made into a flat black. The art rates an 8, since I did put a little extra effort into the image. The math rates an 8.5 because of the mysteriously great effect of the tiny real(p4) parameter. The weather here at Fractal Central today was cloudy with occasional rain, a most depressing Independence Day outcome. The fractal cats spent most of the day watching for stray cats and pigeons. When a prowling tomcat leaped onto the outer window sill, Nicholas sent it scampering for safety with one mighty yell, startling even the two lady fractal cats. FL spent a half hour or so telling me I should develop a more positive attitude, but was unable to give me any good reason to look for a 'bright side'. >From the way it looks now, the next FOTD will be posted in a few days. Of course there is absolutely no guarantee. Until whenever, take care, and I'll cheer up when religion, science and politics join together in one harmonious self-consistent discipline that satisfies and brings peace to everyone on earth. Now does anyone wish to tell me that I am not a dreamer? Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Mangled_MandelMini { ; time=0:12:24.40 SF5 at 200MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=HyperMandelbrot2 passes=1 inside=255 center-mag=-0.1547030358398/+1.0375015318446/\ 3.5e+007/1/90/0 params=0/0/0/0/0.125/0/1e-100/0 float=y maxiter=4200 logmap=-1040 periodicity=0 colors=000000Ng9Le7Jc5Hb4JZ8LWBNTEPQHRNKSKNUHQWETY\ BW_8Z`5aX4`T4_Q4ZM4YJ4YF4XC4W84V54V66W67X78Y79Z7A_\ 8B_8C`8Da9Eb9Fc9Gc8Fb8Fz8Fz7Em7EZ7EY6DX6DW6DV5CU5C\ T5CS7FV8HXAKZBM`CPbEReFUgGWiIYkJ`mLbpMerNgtPjvQlxR\ nzRzuRzpRhlSgjSehScfSadT_bTY`TWZUUVTVXSWYRX_QX`QYb\ PZcOZdN_fM`gMaiLajKblJcmIbuJcnJdhKdbKeXKfQLfKLgEMn\ ALg8Ka7JW6JP4IJ3HD2H71oKVlNSjQQgSNeVLcYJ`_GZbEXeCU\ g9Sj7Ql5Vj6_i6cg6hf7md7qc7rfDshJtjOulUvnZwpdfBZwri\ unftjcsg`rcZq_WpXTnTRmQOlMLkIJjFGiBDj37h8BfDFeHJcM\ MbQQ`VUZ_XYc`WhdRmkVlgYkd`jacjZfiWihTlhQmfOndMnbKo\ `IoZGpXEtZ5pVCmRJiOPfKWbGb_DhW9oS3tT6uT8uTAuTCuTEv\ TGvUJvULvUNwUPwURwUTwUVwVXvWYvW_vsaosYlJAFIAEIAEzA\ EzADzBDzBCzBCzJCzQCzXDzNDzUjsQhsMffOQV09T0AR0AP0AN\ 0AL0AJ0AH0AF0AD0AC0AB00A00800700600500E0PNMNWKLdUJ\ mbHziFvhBwnmxrmywmzuJzwPzxUzyYzzazzezzizzmzzrzzvzz\ zzzzzzzzzzzzzzzzzzzzzzzzz } frm:HyperMandelbrot2 {; periodicity must be off a=(p1),b=(p2): q=sqr(a)-sqr(b)+pixel, b=(p3+2)*a*b+p4, a=q, |a|+|b| <= 100 } END PARAMETER FILE=========================================

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AOTD June232016
by JackOfTradeZ＠comcast.net 25 Jun '16

25 Jun '16

I stumbled across this while googling for other things, it is from a fractal art contest dated circa 2000, Paul N. Lee's old web site. The GIF image had all the fractint params, and it didn't require any special FRMs etc., so I was able to load and play with it.There are no lakes, brots, or minis - and it seems to have no "beginning" or "end". You can't back out past e-5 and I don't know why - I have encountered this before; it is both intriguing and frustrating!Thus I will name it "Etherial", and dedicate it to Paul N. Lee. I don't know how or where to upload this in his remembrance [other than my own UFVP site, which I will do soon] - maybe someone on this list can help with that? The animation is at 1024x768, HiRes AVI format; 1min45sec; ZIP file is 520 MEG - about a 10min download if you have a good connexion. http://www.fractal-animation.net/special/Ethereal1024.zip .Muth and others here have occasionally mused about quantum mechanics. I took a couple courses in school, advanced physics electives. I was intrigued - explanations of why certain chemicals have certain colors, concepts like the Hiesenburg uncertainty principle, etc.; I continued delving into it for a while after school, but quickly got in way over my head with the math, and ended up shelving it. Now I have heard a story about a contemporary physicist or mathematician [can't recall name or details] ; apparently he was one of the few dozen people in the world who are able to fully grasp the depths of QM. He apparently discovered something about the true nature of the "reality" we are all imprisoned in. It freaked him out so much he went insane and eventually committed suicide. Anyone ever hear anything about this? I am pretty sure it is true, not some urban legend.Thus it is unnerving even at that - is our true nature and reality such that we can not ever understand it? Or if we try to, we will not be able to handle it? As if we are not "supposed" to ever really know, nor even try to figure it out?Can all that we know and perceive, from the tiniest quantum particle to the largest galaxy, all be some kind of "projected game space" that is being "played" and run moment by moment? Since we apparently exist in 10 dimensions, the "projection" must come from an even higher dimensional order. 11 dimensions? Infinite dimensions? As Shakespear said: "All the world is a fractal, and all the people merely pixels..."Those versed in the history of science as well as science itself might recall that at the turn of the last century the world of physics was dancing with joy, thinking everything was pretty much wrapped up as the new century dawned. There were a few "minor" issues remaining, like the newly discovered photoelectric effect, radioactivity, and what made the sun and stars shine, but oh well - we pretty much have it all in the bag now right!? Well, the new century introduced special and general relativity, quantum mechanics and nuclear theory, and finally chaos (complex systems, non-linear dynamics) theory, all of which totally redefined our perception of reality.And here we are a century later, making the same silly error. Laughing and smirking at the ideas of multiple, higher order (dare I say "spiritual") dimensions beyond our measurement and perception, or the idea that we are not alone on this planet with intelligence, consciousness, and sentience - that many other animals share these traits as well. Thinking we have it all in the bag NOW right!? Will we ever learn?The years and decades to come will bring forth ideas and knowledge that would be as strange to us now as quantum tunneling would have seemed to even the most brilliant 19th century physicist. Can't hardly wait!

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FOTX -- June 16, 2016
by Jim Muth 18 Jun '16

18 Jun '16

FOTX -- June 16, 2016 (Rating A-8,M-5) Fractal visionaries and enthusiasts: Today's acceptably good image lies in the parent fractal that results when 2.3 negative parts of Z^(-3.3) are combined with 0.8 negative part of Z^(-8.3) and (1/C) is added on each iteration. This parent fractal is a roughly circular thing with scalloped edges and a prominent minibrot, (or maybe maxibrot, since it's the largest Mandelbrot set shaped thing in the parent fractal), Today's scene is located on the southeast shore line of the main period-2 bud of the large minibrot. The art rates an 8, since I did put some extra work into the coloring. The math is old hat, so it rates only a 5. The calculation time of just under 20 minutes is true on a 15-year-old 200mhz work horse. On any SOTA (state of the art) machine the parameter file will run in only a few minutes. The weather was unpleasant here at FC today, with dampness, low clouds and fog hanging on all day, and a temperature of 68F 20C. Other than wandering in Fractal land, I passed the day finishing a small 90-minute job and wondering why we can't even agree on what to do about the violence. Why don't we try something everyone can agree on? It might not solve any problems, which are probably impossible to solve, but it sure would make us feel better. The next FOTX or FOTD will probably be posted tomorrow. Until then, take care, and doing something meaningless is better than doing nothing . . . I guess. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Another_Minibrot { ; time=0:19:18.54 SF5 at 200MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=MandAutoCritInZ function=recip passes=1 center-mag=+0.1865338083042705/+1.326628335422849\ /1e+011/1/115/0 params=-2.3/-3.3/-0.8/-8.3/0/0/0/0 float=y maxiter=2750 inside=0 logmap=-380 periodicity=6 mathtolerance=0.05/1 colors=0008CY8EY8GY9K_9M_9P_9Sa9Va9YaA`cAccBgdCl`O\ pZK55ZpZXrYWrXUmWRmTShVRcXPZYOU_`PaUKcQLcMKZIJUDIP\ ACK0IFzzzmzzUzzXlz6DP00033A00I55K59N6DPBITGOVLTYRY\ _XbcWugbeeidlqVszUyzczzhuzcnw_jpefieZflSazSeuOirJs\ mIzhJzcHzZIuUJpPJkFKf5Lk0Lp5NuANzUNzUPzUPzUQuUUzUQ\ zULzcIumLezNazSdzVfzXhzZiz`kzanzeozgqyisyktylvwpvw\ rwwtyxvzzyppplllgflYYlQQlIJlCClCClCClCCl99_67P3DE5\ NA9_9ClCFzFFyFFyFFyFFwFFwFFwFFwFEuEFuEFuEFuEMuEUuE\ bzFbuEanCaeAa_9cVAeSCeOEXQEORFLVHH_JCcLBgMCnQDsSFy\ bFwVFwPEuIFyHEuEDsDInDRlC_gBlgCziFsWSiDZcClcFzdFzf\ FzgFziFyjFykHwmLwmRuoWupbsqgssoruuuwwwzzywwwsssttw\ lmyemzZmzSmzNmyHmnCmc7mV5mM6mG3mE6m9HzFKzFPuQRm_Rm\ UQmPMmHNmCzc7zc6zc7zc7zc9zc8zc6zz5zz4zz3zz7zzBzzIz\ zNzzTzz_zzezzlzz_zzRzzJzzEzz9zz9zzAzzAzz9zz9zz9zzG\ zzUzzQzzLzzQzzUzzWzzZzzezzlzzuzzzzzzzzyzzwzzuzzszz\ pzznzzlzzizz`zz`zzaDzaDza } frm:MandAutoCritInZ {; Jim Muth a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=1/f, h=1/d, j=1/(f-b), z=(((-a*b*g*h)^j)+(p4)), k=real(p3)+1, esc=imag(p3)+100, c=fn1(pixel): z=k*((a*(z^b))+(d*(z^f)))+c, |z| < esc } END PARAMETER FILE=========================================

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FOTX -- June 15, 2016
by Jim Muth 17 Jun '16

17 Jun '16

FOTX -- June 15, 2016 (Rating A-6,M-6) Fractal visionaries and enthusiasts: The fractals have been coming slowly recently. This does not mean I am thinking of taking another year-long hiatus. It means that due to the current world situation, I have been busy on the internet discussing, perhaps more accurately, arguing things such as politics, religion, science, philosophy, etc. And I am most certainly not trying to stir up a heated debate on this fractal list. There are many more appropriate lists on which to stir up trouble. I simply want to express my own opinions, with no claims of righteousness and no desire to debate. In politics, I am not so certain that the U.S. is as innocent as the mass media would have us believe. Especially because a good part of the rest of the world considers us the world's greatest trouble makers. In religion, I find it ironic that those of different faiths are so often at each others' throats, arguing over trifles, when none of them can offer the slightest hard evidence that anything supernatural such as a god or a soul actually exists at all. In science, I find it almost laughable that there are dozens of so-called quantum interpretations still floating around and being seriously debated. The theory was worked out about ninety years ago in Copenhagen by Bohr, Heisenberg etal. and it has proved itself by working superbly ever since. In philosophy, I find that after thousands of years, we are still debating whether the world is real or merely a persistent series of mental images. And I wonder what difference it could make. I also find it annoying that skeptics trying to defend a rational view of the world so often resort to childish ad-hominem attacks against those with irrational views. Come on guys, to me you look like a desperate high school debating team on the verge of losing a debate. In fractals, I have found a scene deep in the main spike area of a Mandelbrot set infected in its depths by cubic energies. The scene lies at a depth where the cubic energies predominate. The image rates a 6 both in art and math. I named it "Mediation" after my finger missed the letter 't' between the 'i' and 'a'. The calculation time of 37 minutes will go much faster on any machine less than 15 years old. The next FOTD should be posted tomorrow, that is if I don't get involved in another heated internet debate. Until then, take care, and the truth is out there . . . I guess. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Mediation { ; time=0:37:39.91 SF5 at 200MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=FinDivBrot-2 function=recip passes=1 center-mag=-1.683430822074639/-0.00000000110990998\ /4e+009/1/55/0 params=3/33/0/0 float=y maxiter=20000 inside=0 outside=tdis logmap=562 colors=000lIWhDWi3Te8WaDZZIaVNdXRwURnSRfQRYLBVORQR\ eLTtHRqJQnLOkNNhPMeQMcRMbSM`TM_TW`Ne`Hn`CnaCmcCmeC\ lfDlhDliDkkDkmEjnEjpEjqEgoHdnJamL_lNXjPUiRShTPgVMe\ Y4XiKd_HcaEbcC`e9_g6Zi_6ZY8_W9`UBaTCaREbPFcOHcMIdK\ KeJLeHNfFOgEQgCRhATi9Ui7Wj5XkfC7cEA`GDZ5Ha6Nd7Ug8_\ hFXiMViTTj_QjfOkmMksKxjy_ceBYNMUPXRQgOSrLThRM_XFQb\ 8Hg2Me7QcBVbGZ`KbZOgYTkWXoV`_beLij6pnBefGVZLKRITTF\ aUCiWmUXmUYmUSmUMmUGmUAvK4rNBnQIjTOfWVbZ`ZagReqVdm\ Zcjbbfeaci``m_XqZUvJhuR_tYRym5zoCzqIzsOzuUzw_wzwrm\ Ynb9haDc`GZ`JU_MPZQKZTFYW9_`AYZBXXCVVCUUDSSERQFPO3\ TM9QNFONKLNQJOWGOpLahHV`EOUBHM8AF54GD8HKCHRGIYKFfO\ IdNLbMOaLR_KdXYZYQTZJcSFWWDOZCGaAZRB9d9EkALw8IqAGk\ CEeEC_G3L27QAAVID_Q2bRGcXTcbfdhsdmmUklYjlailehligl\ mftrowqjwpewo`wnWwmRwwMwwrwwIwwUwwbwwewwhwwkwwnwwq\ wwwwwswwpwwmwwiwwfwwcww`ww_ww_wwZwwZwwYwwYwwXww`ww\ XwwNwwQwwTww9wwKwwVwwWwwW } frm:FinDivBrot-2 { ; Jim Muth z=(0,0), c=pixel, a=-(real(p1)-2), esc=(real(p2)+16), b=imag(p1): z=(b)*(z*z*fn1(z^(a)+b))+c |z| < esc } END PARAMETER FILE=========================================

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FOTX -- June 10, 2016
by Jim Muth 17 Jun '16

17 Jun '16

FOTX -- June 10, 2016 (Rating A-8,M-6) Fractal visionaries and enthusiasts: The name of today's FOTX image is "Lucid Dreams", though I would never wish to find myself in such a place in a waking dream. With its fire and smoke, it might even be the entrance to the place where bad people go in the next world. But the scene shows nothing like any of this otherworldly stuff. It's actually a scene near a larger minibrot very deep in an infected filament sprouting from the northern period-3 bud of a Mandelbrot set that is corrupted in its depths by cubic energies. The fiery lightning flashes and clouds of billowing smoke were created by rendering the scene with the outside set to 'tdis', an option that often works better than the basic iteration count outside fill. The calculation time of just over 1-1/2 minutes is true on my 18-year-old machine with a Pentium processor running at 200mhz. On any more recent unit the image would run almost instantly. I rated the art aspect an an 8 because of the strong feeling of unpleasantness it produces. And there's nothing wrong with unpleasantness. After all, who ever decided that proper fractal images should resemble fields of flowers. The math rates only a 6 because the trick has been overused recently. Maybe it's time to return to the warhorse FOTD formula, the 'MandAutoCritInZ', which has created the greater part of the really good FOTD images, or one of the other half dozen or so formulas that have helped created the FOTD's. With sunny skies and a temperature of 75F 24C, the weather was near perfect here at Fractal Central today. Along with the light work, this gave us a chance to sit and enjoy the fractal garden, which is always there but too often taken for granted. The next FOTX, (or FOTD if you wish), will be posted possibly as soon as tomorrow. Until whenever, take care, and whatever the quantum might turn out to be, it sure will be interesting. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Lucid_Dreams { ; time=0:01:43.26 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=FinDivBrot-2 function=recip inside=0 center-mag=-0.156049430528614/+1.110527401294699\ /1.17e+013/1/72.5/0 params=3/333/0/0 float=y maxiter=1500 outside=tdis mathtolerance=0.05/1 colors=000CpEAnG9mIDcLGVOJMRLOONQMPRKRTITVFVWDXYBY\ Z9XiYXtuSlnNdhIXbEPXCVYA_Z8e_6j`4pa2uaCp`Ll_VgZccZ\ bYbbSebNhaHlaCoa6ra1u`5o_8jZBdYE_YHVTJWOKWJLWFNWAO\ W5PW1QW9VZHZaPbdWfgcjjknmsrpzvryqqxlqwhqvcpu_ptVps\ RplVlfZi_aeUebOiZHlWBpS5sP6mO6gO7aN7WN8QN8KM9EM88K\ 99M9AOABPACRADS89N76I53D408A19F2AL3BQ3BW4C`5Df6Ek6\ EoFKtNPzVUzcZzkczshztbzuYzvczwczzczzczzczfc7zf7zh8\ zgKzgKzfUzfczeczeczgczhcziczjwzzwzzwzzwzzwzzwzzwzz\ wzzwzzwzzwzzwzzwzzwzzwzzwzzwzzwzzwzzwzzwzzwzzwzzwz\ zwzwwzwwzmwzmwzgwzcwzTwzRwzPwzOwzKwzHwzEwzBwz8wzFw\ zMwzTwz_wzfwzmwztwzzwzpwzgwzZwzQwzHwbUwZewVqwMiwNd\ wN_wOWwORwONVONVONUNMUNMUNMTNMTNLTMLTMLSMLSMLSLKRL\ KRLKRLKRLKRLKQKJQKJQKJPKJPJIPJIOJIOJIOIIOIHNIHeLTh\ GNYFINEDCD81D45O89YBAcBBiBCoBDuBOg9ZU7iG5s34lC6eL8\ _TATaCNiEGrGAzILlQWZYfMdeLedLecLebKfaKf`Kf`KfAlfCj\ hDijEglFfmGeoHcqIbsFsADqC } frm:FinDivBrot-2 { ; Jim Muth z=(0,0), c=pixel, a=-(real(p1)-2), esc=(real(p2)+16), b=imag(p1): z=(b)*(z*z*fn1(z^(a)+b))+c |z| < esc } END PARAMETER FILE=========================================

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Interview with Mitchell Waite
by Timothy Wegner 09 Jun '16

09 Jun '16

I just had a fun experience. I enjoy downloading tech podcasts from twit.tv. Among other things Leo Laporte interviews tech luminaries on a show called Triangulation. The most recent interview was with Mitchell Waite, who published our Fractal Creations book. I had wondered what Mitch was up to since he sold his business to SAMS. As I listened to Mitch recounting his history, I wondered if he would mention Fractal Creations. Sure enough he did, a little past halfway through. Just a short couple of sentences, but I certainly appreciated it. Not sure if it would be worth folks here listening to the whole interview if you weren't otherwise interested just for the brief Fractal Creations mention, but I thought I would let you know. This brought back memories of Mitch. I had many phone conversations relating to Fractal Creations, and met him once in the Bay area. Mitch is now involved with a birding application. Tim https://twit.tv/shows/triangulation/episodes/252?autostart=false

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FOTX -- June 06, 2016
by Jim Muth 08 Jun '16

08 Jun '16

FOTX -- June 6, 2016 (Rating A-8,M-7) Fractal visionaries and enthusiasts: Today's image in colors of turquoise and peach sets no new pathways. It is a scene in an elephant trunk on the south shore line of East Valley of a Mandelbrot set somewhat corrupted by Z^(1) energies. The infection, (we might call it a birth defect), results in a M-set with a main bay more circular than usual and the buds, which are smaller than expected, shifted around toward the negative X-axis. When the imag(p1) parameter is decreased, the infection in the parent M-set grows stronger, until the entire parent ultimately degenerates into the empty circle that would be expected from iterating Z^(1). But it shows some interesting convolutions on its way to becoming an empty circle. I might check a few of the scenes in this degenerating fractal in the future. Today's image is named "Blazing Trunks". The two narrow floating elephant trunks inspired the 'trunks' part of the name. The inspiration behind the 'blazing' part of the name will have to wait until the next FOTX. Today was just another 'back to work' day here at Fractal Central. The weather was near perfect, with a temperature of 84F 29C, low humidity, and a photoshop blue sky filled with cottonpuff cumulus clouds. Now that FL and I are starting on the slowdown path to retirement, the phrase 'back to work' does not imply as much work as it did in the past, but the 7-day cycle of a week still figures prominently in the daily routine. The fractal cats had a routine day of watching for unwelcome cats and teasing pigeons. The next FOTX will be posted when I get a round tuit, probably within two days. Until then, take care, and I wonder which is more reasonable -- holding faith that God exists or holding faith that the objective world is real. As I see it, the evidence is equally ambiguous in both cases. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Blazing_Trunks { ; time=0:28:35.22 SF5 at 200MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=FinDivBrot-2 function=recip passes=1 center-mag=+0.4701823855889835/-0.0047739039165443\ /2.6e+09/1/17.5/0 params=1/1.3/0/0 float=y inside=0 maxiter=5000 inside=0 outside=tdis colors=000zzxTzxzzy`zyzzyzzveztzzqezoezmzzjezhzzfj\ z`ozVtzPyzJuzGqzEmzCzzAkzDzzGkzJzzMkzPzeSkzVzzYkz`\ zzchzcfzcczcazcZzcXzcUzcSzcPzcNzcKzcIzcFzcDzcB_cAX\ `9UY8RV8OS7LP6IM6FJ5CG49D46A35724423Etlk110000000x\ onqihkdce_Z_VUUQPOKKIFFCAA655W2JV1IU1HT1HS1GR1GQ1F\ zzZzzazpdzlgtmjcleRkaRjYSiUThQTgLUfHVeDVd9Wc5Wc1Rd\ 2Md2Hd3Ce37e42e4CZELSOULYbEfVE_OEUPGRQHPRINScLcKJU\ cHmMFWczmOBYczzQ7_c5zS3ac1zS3bczzQ5bczzP8cczzNBccz\ zLDcczzKGdczzIJdHzmHLcIzfIQaIz`JV_JzZJZYJaXKcWKeVK\ hUcoRenOgmMhkJjjGliDmgAof7qe5rd2kP0dAzbDzaFz_HzZJz\ XMzWOzVQzTSzSVzQXYzZ`z`XzeUziRzmOzqzzuzzrzzozzmzzj\ JzhJzeJzcLz_MuXNtUOtRPsNQsKRrHSrETzBRzCQzCPzDNzDMz\ DLzEJzEIzFHzFFzFEzGDzGCzGBzFAzEAzD9zC8zB8zA7z96z85\ z75z64z53z42z32z21z10z0nzXlzWkzVjzUizTgzSfzSezRdzQ\ bzPazO`zO_zNYzMXzLWzKVzKTzJSzIRzHQzGOzGNzFMzELzDJz\ CIzCHzBGzAEz99zvDzvHzwLzw } frm:FinDivBrot-2 { ; Jim Muth z=(0,0), c=pixel, a=-(real(p1)-2), esc=(real(p2)+16), b=imag(p1): z=(b)*(z*z*fn1(z^(a)+b))+c |z| < esc } END PARAMETER FILE=========================================

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Re: [Fractint] Lloyd Garrick's ZooMin to the May26 FOTD is posted!
by Harold Lane 05 Jun '16

05 Jun '16

Posting for Lloyd... - Hal Lane ######################## # hallane(a)earthlink.net ######################## --------- Start of forwarded email: -------------------- From: LLOYD GARRICK [mailto:lgarr@colorado-hiking.net] Sent: Saturday, June 4, 2016 10:28 AM To: Harold Lane <hallane(a)earthlink.net> Subject: Re: Lloyd Garrick's ZooMin to the May26 FOTD is posted! . You are correct about the color changing - it is due to logmap=2 setting, and the actual value calculated is a function of zoom depth, which of course, is steadily increasing. I think it creates a cool effect; it looks best when the palette map is smooth color transitions. When there are many individual boxes in the palette map that suddenly are of a different color [like a lot of Muth's maps], you get the sudden jerks - which may or may not look good. I have had MANY people online over the years ask me HOW THE $%@& DO YOU DO THAT IT LOOKS SO AWESOME and I can only tell them to get into a time machine, go back 20 years and learn DOS and FRACTINT! <G>. I am not familiar with MS windows after XP, but I know that in almost ALL video/media players there is a right click menu to adjust speed, pause, etc. Just play around with the software - you'll find it. ------- End of forwarded email ----------------- --- This email has been checked for viruses by Avast antivirus software. https://www.avast.com/antivirus

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FOTX -- June 03, 2016
by Jim Muth 04 Jun '16

04 Jun '16

FOTD -- June 03, 2016 (Rating A-8,M-9.5) Fractal visionaries and enthusiasts: Hopefully, I now have the dates in order. These mixed-up dates are what happens when I find fractals on one date and post then on a different date. Today's FOTX shows a rather colorful basin of attraction around a minibrot near the tip of the negative X-axis of a Mandelbrot set that has been corrupted in its depths by mathematical energies of the sixth order. But look closer! Something is not right. The color palette rotates in the wrong direction. The point at the center is not a pit that wants to suck everything into a minibrot at its center; it is a hill that repels everything from the peak at its center. And the number of elements converging on the center does not keep doubling in powers of two as we go inward; it keeps being divided in half, from 16 at the outer edge to 2 at the center. And the actual center is not an open hole; it is a blank area of the lowest iteration count surrounded by higher iteration stuff -- an anti-minibrot! Unfortunately, the center part of the image lies beyond the range of resolution, but we can come close enough to see that the number of elements there has divided to 2. Nothing lies beneath the number two but the ultimate fractal oblivion of unity. One problem of today's anti-minibrot is that with the higher iteration stuff lying around the edges, Fractint's automatic logarithmic color palette, which is activated by entering the numeral 2, does not work. It leaves the center of the image, where the number of elements divides to two, a featureless flat area. This curiosity is not too bad in today's image, but I have seen it result in an almost totally blank screen. Most of the shapes in the image were created by rendering it with the outside set to 'tdis', which colors the points according to how far they have traveled before escaping. (The points closer to the center of today's image have not gone very far.) The extra brilliancy of the colors was created in a separate color manipulation program. (It's not a sin, since Fractint drew the shapes.) In my opinion, the art value of the image rates an 8. Its vivid colors put it at least a little above the average. But the math rates a superlative 9.5, since these anti-minibrots are some of the most unusual things I have yet discovered in the world of fractals. The day here at Fractal Central left much to be desired. The high temperature of 79F 26C was fair enough, but occasional rain kept a damper on things. The fractal cats spent the day in the watch window, watching for other cats. The other cats spent the day keeping dry. The fractal humans simply made it through another day with nothing unusual happening. The next FOTD will be posted whenever it is. Until that unknown moment arrives, take care, and watch for those quantum erasers. No one knows exactly what they might do. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Anti-Minibrot { ; time=0:01:09.81 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=FinDivBrot-2 function=recip float=y center-mag=-1.987114419686404/+0.00000000031660164\ /3.8e+011 params=6/1e+020/-12/0 maxiter=1500 inside=0 outside=tdis mathtolerance=0.05/1 colors=000z0000Az00z00z00x00x00v00u00u00s00q00q00o\ 00m00xzuzzsozubzuNzvAvviHzz0zz0zzAzzRzzezzuzzvzzvz\ uvzmxvgxo`xgVxbib`xH`z0Zz0Zz0bz0dz0ez0gz0iz0kz0mz0\ oz0mz0mx0ms0ko0kk0kg0md6o`HqXTsTduPovLzxHzzGzqGziG\ z`GzTGzJGzC2Z4zzz000000200600A00E00H00zu0N60PC0RJ6\ TRCVZHHH4PzzXdLdoTkzbszi4T0qbZzbbe0TbezA0ALgddmouc\ xzvzzzzmMUT00Z60XG0JP08000000de0zz0zz0zz0zz0zx0zo0\ ne0_X0hPbq0ZH0mqZemR`iLVgGNdAH`4CZ0JZ6RZEXZJbdReiX\ iodmuiqzouzvxzzzzzmzzZzzJzz4zz0zz0zzPGoGTH6e02N404\ N00d00`64XCETHLPNVLTdHXkEZdAZX6ZP4ZJ0ZC0Z40Z00Z00N\ 0ZE8z0To0mP0z00z00z08z0Jz0Vz0ez0qz0kvNeeg`PzX8zP6z\ H6zC4z44z04z02z02z02z0AzGGzXNvoTmzZdsz6gzEXmJLZPCH\ X02b00g00m0GP0v0Cz0Pz0bz0oz0zz0zT2z0HsVmLzzXxzgisq\ XezHVz2Hz06z04z04z04z04z02z02z02z02z00z00z00z00z00\ z00z00z00z00z00z00z00z00z00z00z00z00z00z00z00z00z0\ 0z00z00z00z00z00z00z00z00 } frm:FinDivBrot-2 { ; Jim Muth z=(0,0), c=pixel, a=-(real(p1)-2), esc=(real(p2)+16), b=imag(p1): z=(b)*(z*z*fn1(z^(a)+b))+c |z| < esc } END PARAMETER FILE=========================================

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Lloyd Garrick's ZooMin to the May26 FOTD is posted!
by Harold Lane 04 Jun '16

04 Jun '16

LLOYD GARRICK [lgarr(a)colorado-hiking.net] Is not able to post to the Fractint list and I've agreed to post items for him. His post is forwarded below. When I watch Lloyd's animations, in order to be able to look around a bit in each scene (while it's zooming/playing) before it expands off the edges of the screen, I play it at half speed. There is no jerkiness in the animation when I do this. I'm only familiar with Windows Media Player's way to do this in Windows 8.1: If you have no Menus shown in Media Player, Right click on the program's window frame and select: Enhancements > Play speed settings I was not able to set a play speed lower than 0.5. Note that you can also single step frames with the two arrow buttons. The "Back" button seems to vary in function based on a particular video's encoding choices. I've had it do nothing or jump back more than one frame per click. If I recall correctly, the occasionally changing colors during the Lloyd's zoom are due to Fractint's adjusting the color map in response to the LogMap being non-zero. The Fractint Docs are not super clear on this -- a possibility of how this is implemented might be that the values calculated for each pixel are sent through an additional logarithmic lookup table before they are looked up in the color map to determine their displayed color. Someone please correct me if I'm wrong on how this works. Jim Muth mentions "Fractint's automatic logarithmic color palette" in his post: "[Fractint] FOTX -- June 03, 2016" Recommended. --- Lloyd posted: ---------------- "ZooMin to the May26 FOTD is posted!" http://www.fractal-animation.net/special/Fantasia1024.zip "AVI, 1024x768, 102sec ; 420Meg" "Enjoy!" ---------------------------------------- - Hal Lane ######################## # mailto:hallane@earthlink.net ######################## From: LLOYD GARRICK [mailto:lgarr@colorado-hiking.net] Sent: Friday, June 3, 2016 10:18 PM To: Harold Lane <hallane(a)earthlink.net> Subject: Please post to the [Fractint] list . ZooMin to the May26 FOTD is posted! http://www.fractal-animation.net/special/Fantasia1024.zip AVI, 1024x768, 102sec ; 420Meg Enjoy! ---- --- This email has been checked for viruses by Avast antivirus software. https://www.avast.com/antivirus

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FOTX -- June 06, 2016
by Jim Muth 03 Jun '16

03 Jun '16

FOTD -- June 02, 2016 (Rating A-8.5,M-7.5) Fractal visionaries and enthusiasts: I named today's image "Periodic Wandering". To see why, try to track down the periodicity of the features surrounding the central mininbrot, which is beyond resolution but certainly of a quartic nature. In some areas the cubic series seems to prevail, while in others it could be either the quadratic or quartic. Actually, the parent fractal, at least on the surface, is nothing more impressive than an everyday Mandelbrot set (a fractal that of itself is quite impressive). But today's parent M-set has contracted a Z^(4)+C virus that is working wonders in its depths, and at its impressive (by double precision standards at least) magnitude of over 10^13, today's image is certainly deep enough to feel the infection. The scene is located near a much larger quartic minibrot deep in the trunk of the period-22 elephant on the south shore line of the East Valley of the parent. The prominent banded effect was achieved by rendering the scene with the outside set to 'tdis', plus some of my own semi-skilled coloring. With a calculation time of only 9 minutes on an old 200mhz pentium machine that should have given up many years ago, the parameter file will certainly prove to give a reward well worth the effort of runnung it. The FOTD web site will soon be back in action to make life easier for those whose machines roll over and play dead when faced with the forgotten letters DOS. Life was pretty good here at Fractal Center today. The most excitement was in the afternoon when a tomcat fight erupted in the fractal yard, causing the three fractal cats to dash to the window to watch the action. Luckily for one of the fighting cats, the fight ended after they decided who could curse at the other the loudest. For some reason, I decided to eat breakfast today at the local big-chain fast food outlet. The food was good enough, but while sitting in my booth reading my morning paper, I started to feel like an obsolete old fogy. Looking at the row of booths across the store, I noticed one person in every booth, each one of them pecking at their smart phone. 'What am I doing reading a newspaper?' I wondered. I should be downloading the latest app. But then I wondered what those gadget addicted people would do if the internet were ever to go down. How could they get in touch with their friends who live two blocks away? While pondering such unfathomable mysteries, I guess the time has come to say so-long until the next FOTX appears. Until whenever that might be, take care, and when will the Fractint app be released... ;-) ;-) Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Periodic_Wandering { ; time=0:09:13.76 SF5 at 200MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=FinDivBrot-2 function=recip float=y center-mag=+0.2728877196297931/-0.004994932576963\ 96/1.77e+013/1/2.5/0 params=4/500/0/0 maxiter=1500 inside=0 outside=tdis mathtolerance=0.05/1 colors=000dEedEddEdcEdcEccEccEbbEbbEabEaaE`aE`aE_`\ E_`EZ`EZ_EY_EY_EX_EXZEWZEWZEVYEVYEVYEUXEUXETXETWES\ WESWERWERVJQVRQVZPUfPVk_JhzKKK00U0A9000001AU28b36l\ 4Pz5zzzzlAzhCzcFzcHzKJzKLzKPK0SG0VC0YBPZAJ_AE_GJYM\ OWSSUYXScaQiePifSifVigYig`igcfkYcnS`qMYtGVwBjoQciP\ XdPR_OKVOEQN7LN1GN6HOAHPEIQJIRNJSRJTMJPIKJOKDUbN_t\ WbnRehMhbHkXCnR8aVDPZICbN0fRCeMOdIeDzdExdFwdFvdGud\ GtcHscHqcIpcIocJnbJmbKlbKkbLibLhbMgaMfaNeaNdaOcaOa\ `P``P_`QZ`QY`RXaQX`RW`RW`RW`RW`RV_RV_RV_RV_RU_RUZR\ UZSUZSTZSTZSTYSTYSSYSSYSSYSSXSSXSRXTRXTRXTRWTQWTQW\ TQWTQWTPVTPVTPVTPVUOVUOUUOUUOUUOUUNUUNTUNTUNTUMTUM\ TVMSVMSVLSVLSVLSVLRVKRVKRVKRVK`X0WWARVKMUUHTc9PqBQ\ oCRnDSmETlGUkHUjIViJWhLXgMYfNYeOZcP_bR`aSa`Tb_UbZW\ cYXdXYeWZfVfeQdfRcfSbfT`fT_fUZgVXgVWgWVgXTgXShYRhZ\ PhZOh_Nh`9o_Mh`Za`lZTkYVkXXkWZjV`jUbjTdiSfiRhiQjhP\ lhOnhNpgMrgLtgKvgKweMucOt } frm:FinDivBrot-2 { ; Jim Muth z=(0,0), c=pixel, a=-(real(p1)-2), esc=(real(p2)+16), b=imag(p1): z=(b)*(z*z*fn1(z^(a)+b))+c |z| < esc } END PARAMETER FILE=========================================

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sounds from LHC proton collisions
by Bill Jemison 02 Jun '16

02 Jun '16

I thought I'd pass this link on from Lee Skinner. As some of you know I have occasionally tried to produce audio fractals using fractint. In some ways the sounds produced by my methods and the sounds from this link are similar (to my ear, anyway). My question to Lee was if the results of proton collisions are fractal? I don't know, but the similarities in the sounds to some (not all, for sure) of my audio fractals is intriguing. Sonified real-time data from the Atlas experiment at CERN: http://quantizer.media.mit.edu/ Bill Jemison audio fractals <https://sites.google.com/site/audiofractals/home>

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FOTX -- May 31, 2016
by Jim Muth 01 Jun '16

01 Jun '16

FOTD -- May 30, 2016 (Rating A-8,M-8) Fractal visionaries and enthusiasts: After an adequate 'holiday' week-end here at FC, the fractals are once again coming to life. Today's emerald gem lies on the negative X-axis of its parent fractal, which resembles an M-set with a severe infection of a cubic virus. The parent's main bay is relatively intact, but the larger buds, especially the main period-2 bud, are becoming distorted. In fact, this bud already has a kind of island appearing inside it. Today's scene is located at the east end of an almost totally cubic minibrot lying on the main stem just beyond the large minibrot. The minibrot at the center of today's image is perfectly cubic, but the number sequence of elements surrounding it is messed up, with alternating doubling and tripling rather than all tripling. This irregularly increasing number of elements inspired the name "Cubic Conundrum". I rated the art and math both at an 8, which makes the image well worth the couple minutes required to run the parameter file. As for the art aspect, the pattern around the cubic minibrot is one of the most striking I have yet seen. The math is nothing really new, though even after working with today's formula for several years, I am still not sure why the iterated expression, (sqr(z)*recip(z^(a)+b)), does exactly what it does. But regardless, along with the MandAutoCritInZ formula, it supplies about half my fractal surprises. The 'holiday' weekend went well enough here at Fractal Central. Memorial Day itself turned out partly cloudy with a temperature of 86F 30C and a passing, garden watering type thunder shower in the afternoon. I passed a good part of the day reading and pondering, though I found nothing new to ponder too deeply. The next FOTX will be posted possibly as soon as tomorrow, the first day of June. Until whenever, take care, and prepare for better fractal things to come. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Cubic_Conundrum { ; time=0:07:53.89 SF5 at 200MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=FinDivBrot-2 function=recip passes=1 center-mag=-1.924224968577973/0/1.62e+011 params=3\ /-6/0/0 float=y maxiter=2000 inside=0 logmap=248 symmetry=xaxis periodicity=6 mathtolerance=0.05/1 colors=00000JizzjzzzzzmzRzmzozzzmzrzzzlznzzzkqjzsh\ ktNjWLhbJgjHeqFdxLfmRhbXjSblHhn7imDjlIkkNljTmiYnhb\ oggqYWsOKtF8zCEz9JzUOzUTzcYzcIzm3zzZzzfvzdrzbmz`hz\ ZczX`zVYzTWxRUwMStHPqCMm8IhBFcECVH9MJ8IH8GF8MD8RB7\ Y97b77i5Ti4ZRKZ8_cLScXKchCcotwHIwFJwEKwCLRiEXmBap8\ fs5kv3ffMbRdZCwXMpVVjTcdSlZTg`UbaVYbWTcFGIGHMHIPHJ\ SIKVJLYJM`KNcKOfJQiJSkJUmJVoIXrIZtI`vIaxjs3en9`jFW\ fKSbQNZVIV`EReDXbDa_CfXCkUCpRFlTHiUKfVMcWO`X0fRKaU\ cYWwUY`cxTTmLIbE8SKCUPFWUIYZL_cOahRcmUerXfcdiQllCt\ nV`hlIcpOWsTPwYHzbAwJ_t0ycbIRdZEfoN_mVUkbOijIgrCeV\ PO7m77m77m67m67m67e57m57f48m48g38h38i28i28j18k18k1\ 9i2KiD9k2Am3mo3Aq4ms4Bu5mw5mz6mz6cz7cz7mz8Uz8Uz9Uz\ 9UzAUzAczBczBczCczEczDczDczDczDhzDhzDhzChzCmzCmzCm\ zCmzCmzvmzqmzmmzimzdmz`mzXmzTzzOzzKzzGzzGzzFzzFzzF\ zzEzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzz } frm:FinDivBrot-2 { ; Jim Muth z=(0,0), c=pixel, a=-(real(p1)-2), esc=(real(p2)+16), b=imag(p1): z=(b)*(z*z*fn1(z^(a)+b))+c |z| < esc } END PARAMETER FILE=========================================

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fractint for win10
by Michele Impedovo 29 May '16

29 May '16

Please forgive me if any other post about this exists. I used Fractint a lot of time ago with XP. Is it possibile install Fractint in Windows 10? The zipfile gcenglln.zip doesn't work Thanks Michele --- Dai il tuo 5x1000 alla Bocconi. Aiuta gli studenti meritevoli a costruire il proprio futuro. CF 80024610158. www.unibocconi.it/5x1000 Please note that the above message is addressed only to individuals filing Italian income tax returns. ---

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FOTX -- May 26, 2016
by Jim Muth 28 May '16

28 May '16

FOTX -- May 26, 2016 (RatingA-8.5,M-7.5 ) Fractal visionaries and enthusiasts: Today's image shows a scene in a parent fractal that on its surface is an everyday quadratic M-set. But this parent is contaminated in its depths by cubic energies. The location is in the northern of the two East Valleys (Elephant Valleys) of the large minibrot on the main spike of the parent M-set, which lies at the depth where the cubic contamination first appears. But even at today's rather deep magnitude the cubic energies have not yet been totally absorbed by the cubic, which is visible in the subtle 3-6-9-27.... rather than the expected 3-9-27.... series of arms surrounding the minibrot. I rated the art aspect at an honorable 8.5, since I'm starting to work off the rust and get back into the well-oiled world of fractals worth being considered art. The math does not do too bad either. The rating of a 7.5 is right up there with the big-time images. The name "Caught in a Fantasy" is simply a statement of fact. After all, what are fractals if they are not manifestations of the things numbers do, just as the real world, whose ultimate reality I now consider questionable, appears to be when we look deeper into the quantum. Actually, the more I delve into QM, the more confused I become. Just this morning I read on the internet that all electrons are exactly the same, so that they basically ARE the same electron, which means that in a sense there is only one electron in the universe, and it is therefore questionable to use the word 'electron' in the plural sense. It might be better to think of an electron as a local manifestation of a universal field. This seemed clear enough until I read on another site that some think there could be changeable values hidden in electron(s), and if this were so, it would make some puzzling quantum facts more sensible. But then I wondered how all electrons can be considered identical if they also may have variable attributes hidden within them. The only thing for sure now is that I am far from grasping quantum theory. Things went fairly smoothly here at Fractal Central today. The weather was partly cloudy with a temperature of 88F 31C and higher but still not oppressive humidity. A few showers threatened in the evening but never materialized. The next FOTX will appear in a day or two or three. Until whenever, take care, and maybe the quantum world is a huge fractal. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= CaughtIn_a_Fantasy { ; time=0:09:57.31 SF5 at 200MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=FinDivBrot-2 function=recip passes=1 center-mag=-1.732538551815778/+0.00333684727842454\ /1.2e+012/1/-132.5/0 params=3/30/0/0 logmap=256 maxiter=2000 inside=0 float=y mathtolerance=0.05/1 colors=00030940A50B70C90DB0ED0FE0GF0HF0IF0JF0KF0LF\ 1MF2NF3OF4PF5QF6RF7SF7TF8UE9UDATCASBAQAAP9AN89M7AK\ 6BJ5CI4DG3EF7FD6GC5GB7EE9DHBCKDBNFBQHBTJBWLBZNAaP9\ dR8gT7jV6mX5pZ4sU3vK2xA2u02r02o02l02j02g02d02a02_4\ 2X12U02R02P07Q5CR6GS8LT9PUBUYDZaEbeMgiUkmcpqmtwwpz\ mlzchz_dnW`hYXi_TkaPldLnfHphDqj9sl5twfEtdGqcIobKl`\ Mi_OgZPdXRaWT_VVXTXVSYSR_PPaNOcKNeHLgFKhCJj9Hl7Gn4\ Fp2EqDKrJPrPUrWZsbdsiksikqhipggofdmealc_kcXjbVhZUg\ WSfSQdNPcKNbILaGK_EIZCGYBFWADV9BU8AT79T68U58V47W36\ W25X14Y04Y0CZ0PZFZ_Eh_Ei_FjZFk_FlZFmZFoZFqZFsZFuZF\ wYFwYFwYFwYGmYGcYGXYGTXGPXGNXNLXUJXcHXzszzaSrAUmDV\ hGWcJNZMOUPOeSP`UPFTQOSQ6RR7RR7QR8PSaOS9NTaMTBLUBK\ UCKUDJVDIVbHWFGWFFXGEXW91UA5SA8RBBUBEZCHcCLhDOmDRr\ EUwAWzFXzKXzPXzUXzUXzUXzUXzZXzcXzhXzmXzrXzvXzzXzzX\ zzXzzXzzXzzXzzXzzXzzXzzXzzXzzXzzXzzPzzQzzQzzRzzRzz\ RzzSzzSzzTzzTzzTzzUzzCzz9 } frm:FinDivBrot-2 { ; Jim Muth z=(0,0), c=pixel, a=-(real(p1)-2), esc=(real(p2)+16), b=imag(p1): z=(b)*(z*z*fn1(z^(a)+b))+c |z| < esc } END PARAMETER FILE=========================================

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Re: [Fractint] FOTX -- May 26, 2016
by Harold Lane 28 May '16

28 May '16

> FOTD are exquisite additions as links I'm glad you like the images at my links. > Do you personally create the links...? Yes. I use: - Jim's FOTD formula and - Richard's Fractint for Windows beta 5 (now called Iterated Dynamics) and - calculate Jim's FOTD. - then, using Jim's FOTD fomula, I calculate - its "parent" fractal by zooming out from the FOTD, and - I make several zooms into the "parent" showing areas in the "parent" in more detail. - If any of these areas look interesting, I may make a few more images. - Sometimes I "look around" the area where Jim calculated his FOTD and see if I can make an interesting image there. I ususally calculate the images 4 or 5 times (6000 x 4500 pixels) larger than the final size I make for viewing. This large size allows me to anti-alias the images. I use the free image processing program, GIMP, to anti-alias my images. I use the free FTP program, FileZilla, to upload the final (usually 1200 x 900 pixels) versions of the images to a server that I rent space on. The links to the images are formed from the domain name I purchased and the names of the image files I upload. > Thanks Harold Please keep the links coming. I plan to keep making images from Jim's files. Jim says he will also put his FOTD images on his server, hopefully soon, and I may create web pages with the images I make on them. More of my variations on Jim's FOTX -- May 26, 2016 fractal are coming soon! - Hal Lane ######################## # hallane(a)earthlink.net ######################## -----Original Message----- From: Fractint [mailto:fractint-bounces@mailman.xmission.com] On Behalf Of Ram Peloquin Sent: Friday, May 27, 2016 3:11 PM To: Fractint and General Fractals Discussion <fractint(a)mailman.xmission.com> Subject: Re: [Fractint] FOTX -- May 23, 2016 Harold If you would, FOTD are exquisite additions as links perhaps sent weekly Jim Muth provides formulas only. Do you personally create the links that were sent to me? Cheers On Tue, May 24, 2016 at 4:02 AM, Harold Lane <hallane(a)earthlink.net> wrote: > Jim's FOTX -- May 23, 2016: > http://www.emarketingiseasy.com/TESTS/FOTD/2016/F160523.jpg > > Zooming out while still centered on the FOTX: > http://www.emarketingiseasy.com/TESTS/FOTD/2016/F160523A.jpg > > Zooming out again: > http://www.emarketingiseasy.com/TESTS/FOTD/2016/F160523B.jpg > > "Parent" of the FOTX: > http://www.emarketingiseasy.com/TESTS/FOTD/2016/F160523Z.jpg > > Zooming in on the parent fractal: > http://www.emarketingiseasy.com/TESTS/FOTD/2016/F160523Y.jpg > http://www.emarketingiseasy.com/TESTS/FOTD/2016/F160523X.jpg > > Colorful "spiraloids": > http://www.emarketingiseasy.com/TESTS/FOTD/2016/F160523W.jpg > > Seemingly symmetrical spiral -- two of each kind of spiral arm: > http://www.emarketingiseasy.com/TESTS/FOTD/2016/F160523V.jpg > > - Hal Lane > > ######################## > # hallane(a)earthlink.net > ######################## > > -----Original Message----- > From: Fractint [mailto:fractint-bounces@mailman.xmission.com] On > Behalf Of Jim Muth > Sent: Monday, May 23, 2016 7:41 PM > To: fractint <fractint(a)mailman.xmission.com> > Subject: [Fractint] FOTX -- May 23, 2016 > > > FOTX -- May 23, 2016 (Rating A-7,M-6) > > Fractal visionaries and enthusiasts: > > For reasons known only to myself, today's image is named "Going to > Nowhere". > It lies in the parent fractal that results when > 3 negative parts of Z^(-1.3) are combined with 1.3 negative parts of > Z^(-2.6) and 1/C is added on each iteration. The result of this > random operation is a fractal consisting of two Mandeloids connected > at the hip with two prominent minibrots not far to the east. Today's > scene lies near the western extremity of a strip of chunky chaos lying > along the negative X-axis. > > The art rates a 7, since the image is not really that artistic, > probably because I'm still a bit rusty on the coloring. The math rates only a 6. > We've seen fractals like this many times before. But this does not > make the image worth any less. One thing for sure is that today's > image shows this particular scene to the world for the first time in > all eternity, at least on this planet. > > I originally had planned for today a parent fractal between Z^2 and > Z^3 without discontinuities, but there turned out to be so many of the > darned things that I wanted to be sure I choose one of the best as an example. > > Today went routinely here at Fractal Central, where the graphic design > work might be starting to wind down. This is not such bad news > however, for it will give me more time to find fractals and draw > imaginary scenes on other planets. The weather was partly cloudy with > a temperature of 73F 23C and a few passing light thunder showers. The > only surprise was one unexpected clap of thunder, which jolted the > fractal cats from their afternoon naps and Jasmine dash under the bed > for cover. The next FOTX will be posted in a day or two, and by then > maybe I'll have that fractional fractal without discontinuities in the > bag. > > Until then, take care, and why do some people get so emotional because > of what others think about something as abstract as quantum theory, > when no one knows just what the theory means? > If the whole quantum discussion wasn't based on proven science, it > would almost seem like a conspiracy theory about aliens ready to > conquer the world. (I actually find the 'debate' amusing!) > > > Jim Muth > jimmuth(a)earthlink.net > > > START PARAMETER FILE======================================= > > Going_to_Nowhere { ; time=0:09:11.07 SF5 at 200MHZ > reset=2004 type=formula formulafile=basicer.frm > formulaname=MandAutoCritInZ function=recip passes=1 > center-mag=-3.163917289941009/+0.04247598066664703\ > /6.027844e+011/1/-130/0 params=-3/-1.3/-1.3/-2.6/0\ > /0/0/0 float=y maxiter=2000 inside=0 outside=tdis > periodicity=6 mathtolerance=0.05/1 > colors=000p_IoUFoPBmR8kT6iT5gU2gW0fW0dY0b_0b_0fW0i\ > U0mT0pR0tP0oR0kR0gR0dR0`R0WR0TR0PT0LT0IT0DT2AT46T5\ > 4T60T65P88NABLAFKBIIDLGDPFFUDGYBGYAId8Km6Kw5Lz4Nz2\ > Nz8UwF`mUmddzWmzUwzczzmzzmzzcwzUmzKdzAWz0Pw0Km0Fi0\ > Ad05`00Y00U20R20N40K40GL0Td0by0mz0ywBzdRzLfz5wz2pz\ > 0kw0fp0`i0Wd0R_0LT0GN0BI06B026002000G_8pzIozLozPoz\ > TmwWmo_mibkdfk_ikTmiNpiItiDyi8zmAwoBtpDptFowGkyIiz\ > KfzLdzN`zP_zRWzTUzURzUPzWRzWRtYRmYRf_R__RT`RL`RF`R\ > IbPLdPPdPTfPWgP_gNbiNfkNikNmmNomNkbKiUGfLFdBB`48_0\ > 6b05d05f05i04k04m64pF2tN2zW2zd0zsdswwtzzwzzwzApwFk\ > dKgWPdNU`FYW6bT6gP6mK6sG6yD6zA6zB6zUUUUUUB6tB6pD6m\ > D6kD6gD6dD6bF6_F6WF6UF6RF6NF6L86I2yF0mD0bA0T60I50K\ > 40L40L40N20N20P25P08R0BR0GT0KT0NU0TU0WW0_W0WYAT_NP\ > ``LboIdzGdzFbzD`zD`zB_zB_zAYz8Yz8Wz6Wz6Uy5Uw4Tt4Ts\ > 2Rp2Ro5Nm8KmBIkFFkIDiLAiP8iIFbDKY6PT2UN0_I0dD0i80o\ > 40s80tB0wG0zK0zP0zT0zYsfL } > > frm:MandAutoCritInZ {; Jim Muth > a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=1/f, h=1/d, > j=1/(f-b), z=(((-a*b*g*h)^j)+(p4)), k=real(p3)+1, esc=imag(p3)+100, c=fn1(pixel): > z=k*((a*(z^b))+(d*(z^f)))+c, > |z| < esc } > > END PARAMETER FILE========================================= > > > > _______________________________________________ > Fractint mailing list > Fractint(a)mailman.xmission.com > https://mailman.xmission.com/cgi-bin/mailman/listinfo/fractint > > > --- > This email has been checked for viruses by Avast antivirus software. > https://www.avast.com/antivirus > > > _______________________________________________ > Fractint mailing list > Fractint(a)mailman.xmission.com > https://mailman.xmission.com/cgi-bin/mailman/listinfo/fractint > _______________________________________________ Fractint mailing list Fractint(a)mailman.xmission.com https://mailman.xmission.com/cgi-bin/mailman/listinfo/fractint --- This email has been checked for viruses by Avast antivirus software. https://www.avast.com/antivirus

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FOTX -- May 23, 2016
by Jim Muth 27 May '16

27 May '16

FOTX -- May 23, 2016 (Rating A-7,M-6) Fractal visionaries and enthusiasts: For reasons known only to myself, today's image is named "Going to Nowhere". It lies in the parent fractal that results when 3 negative parts of Z^(-1.3) are combined with 1.3 negative parts of Z^(-2.6) and 1/C is added on each iteration. The result of this random operation is a fractal consisting of two Mandeloids connected at the hip with two prominent minibrots not far to the east. Today's scene lies near the western extremity of a strip of chunky chaos lying along the negative X-axis. The art rates a 7, since the image is not really that artistic, probably because I'm still a bit rusty on the coloring. The math rates only a 6. We've seen fractals like this many times before. But this does not make the image worth any less. One thing for sure is that today's image shows this particular scene to the world for the first time in all eternity, at least on this planet. I originally had planned for today a parent fractal between Z^2 and Z^3 without discontinuities, but there turned out to be so many of the darned things that I wanted to be sure I choose one of the best as an example. Today went routinely here at Fractal Central, where the graphic design work might be starting to wind down. This is not such bad news however, for it will give me more time to find fractals and draw imaginary scenes on other planets. The weather was partly cloudy with a temperature of 73F 23C and a few passing light thunder showers. The only surprise was one unexpected clap of thunder, which jolted the fractal cats from their afternoon naps and Jasmine dash under the bed for cover. The next FOTX will be posted in a day or two, and by then maybe I'll have that fractional fractal without discontinuities in the bag. Until then, take care, and why do some people get so emotional because of what others think about something as abstract as quantum theory, when no one knows just what the theory means? If the whole quantum discussion wasn't based on proven science, it would almost seem like a conspiracy theory about aliens ready to conquer the world. (I actually find the 'debate' amusing!) Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Going_to_Nowhere { ; time=0:09:11.07 SF5 at 200MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=MandAutoCritInZ function=recip passes=1 center-mag=-3.163917289941009/+0.04247598066664703\ /6.027844e+011/1/-130/0 params=-3/-1.3/-1.3/-2.6/0\ /0/0/0 float=y maxiter=2000 inside=0 outside=tdis periodicity=6 mathtolerance=0.05/1 colors=000p_IoUFoPBmR8kT6iT5gU2gW0fW0dY0b_0b_0fW0i\ U0mT0pR0tP0oR0kR0gR0dR0`R0WR0TR0PT0LT0IT0DT2AT46T5\ 4T60T65P88NABLAFKBIIDLGDPFFUDGYBGYAId8Km6Kw5Lz4Nz2\ Nz8UwF`mUmddzWmzUwzczzmzzmzzcwzUmzKdzAWz0Pw0Km0Fi0\ Ad05`00Y00U20R20N40K40GL0Td0by0mz0ywBzdRzLfz5wz2pz\ 0kw0fp0`i0Wd0R_0LT0GN0BI06B026002000G_8pzIozLozPoz\ TmwWmo_mibkdfk_ikTmiNpiItiDyi8zmAwoBtpDptFowGkyIiz\ KfzLdzN`zP_zRWzTUzURzUPzWRzWRtYRmYRf_R__RT`RL`RF`R\ IbPLdPPdPTfPWgP_gNbiNfkNikNmmNomNkbKiUGfLFdBB`48_0\ 6b05d05f05i04k04m64pF2tN2zW2zd0zsdswwtzzwzzwzApwFk\ dKgWPdNU`FYW6bT6gP6mK6sG6yD6zA6zB6zUUUUUUB6tB6pD6m\ D6kD6gD6dD6bF6_F6WF6UF6RF6NF6L86I2yF0mD0bA0T60I50K\ 40L40L40N20N20P25P08R0BR0GT0KT0NU0TU0WW0_W0WYAT_NP\ ``LboIdzGdzFbzD`zD`zB_zB_zAYz8Yz8Wz6Wz6Uy5Uw4Tt4Ts\ 2Rp2Ro5Nm8KmBIkFFkIDiLAiP8iIFbDKY6PT2UN0_I0dD0i80o\ 40s80tB0wG0zK0zP0zT0zYsfL } frm:MandAutoCritInZ {; Jim Muth a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=1/f, h=1/d, j=1/(f-b), z=(((-a*b*g*h)^j)+(p4)), k=real(p3)+1, esc=imag(p3)+100, c=fn1(pixel): z=k*((a*(z^b))+(d*(z^f)))+c, |z| < esc } END PARAMETER FILE=========================================

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List your favorito fractal books
by Jovan Trujillo 27 May '16

27 May '16

I'm looking at my bookshelf and admiring my small collection of fractal literature. I was wondering what other people have on their shelf. Here's part of my list: 1. Fractals, Visualization, and J by Clifford A. Reiter Use the J programming language to learn about fractal geometry and generating graphics. I think the last chapter covers image compression and restoration using fractal math. 2. Chaos and Fractals by Peitgen, Jürgens, and Saupe Big fat book, my bible of fractal lore. I love that each chapter ends with a QBasic program! 3. Genesis Redux by Edward Rietman There is a chapter on L-systems and their implications for artificial life. Great book with code samples in a variety of languages. 4. Differential Equations on Fractals by Robert Strichartz I've only covered chapter 1 and the math gets intense rather quickly. Still not sure what this book is really about. Sent from my iPhone > On May 5, 2016, at 11:00 AM, fractint-request(a)mailman.xmission.com wrote: > > Send Fractint mailing list submissions to > fractint(a)mailman.xmission.com > > To subscribe or unsubscribe via the World Wide Web, visit > https://mailman.xmission.com/cgi-bin/mailman/listinfo/fractint > or, via email, send a message with subject or body 'help' to > fractint-request(a)mailman.xmission.com > > You can reach the person managing the list at > fractint-owner(a)mailman.xmission.com > > When replying, please edit your Subject line so it is more specific > than "Re: Contents of Fractint digest..." > > > Today's Topics: > > 1. test from Jim Muth (Jim Muth) > > > ---------------------------------------------------------------------- > > Message: 1 > Date: Thu, 5 May 2016 13:45:09 -0400 (GMT-04:00) > From: Jim Muth <jimmuth(a)earthlink.net> > To: fractint(a)mailman.xmission.com > Subject: [Fractint] test from Jim Muth > Message-ID: > <22568828.1462470310038.JavaMail.wam(a)elwamui-hybrid.atl.sa.earthlink.net> > > Content-Type: text/plain; charset=UTF-8 > > Fractal fans: > > Paul's demise kind of took the wind out of my fractal sails, > and I have been especially down because I was off the list > at the time. But now I'm back, maybe with not so many > fractals, but with a lot to say. If the list is still up > and running, you'll be hearing from me quite often in the > near furure, especially in the field of fractal philosophy. > > Now we'll see if this e-mail returns to me. > > Jim Muth > > > > > ------------------------------ > > Subject: Digest Footer > > _______________________________________________ > Fractint mailing list > Fractint(a)mailman.xmission.com > https://mailman.xmission.com/cgi-bin/mailman/listinfo/fractint > > > ------------------------------ > > End of Fractint Digest, Vol 159, Issue 1 > ****************************************

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test from Jim Muth
by Jim Muth 27 May '16

27 May '16

Fractal fans: Paul's demise kind of took the wind out of my fractal sails, and I have been especially down because I was off the list at the time. But now I'm back, maybe with not so many fractals, but with a lot to say. If the list is still up and running, you'll be hearing from me quite often in the near furure, especially in the field of fractal philosophy. Now we'll see if this e-mail returns to me. Jim Muth

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FOTX -- May 22, 2016
by Jim Muth 25 May '16

25 May '16

FOTD -- May 22, 1016 (Rating A-7,M-7) Fractal visionaries and enthusiasts: Today's image shows a scene in the parent fractal that results when Z^(2) and Z^(-1) are blended. Since there is no such thing as a minibrot of a negative unity order, (it would have negative-two main bays), all minibrots reach a floor at the quadratic level, with one lobe. Today's minibrot did its best to be impressive, but I had to add some Fractint special effects to bring it up to FOTX worthiness. Rendering the image with the inside set to 'bof60' and the outside set to 'fmod' gave it just enough bells and whistles to make it worth being declared FOTX for May 22. The reason for the name "MothEaten Minibrot" will become clear when the three minute parameter file is run in Fractint. The next FOTD, which very possibly might be posted in two days or sooner, will feature a fractal between quadratic and cubic that has no discontinuities and has enough zooms to make the most dedicated fan of zooming leap for joy. It rained almost all day here at Fractal Central today, forcing myself and FL to spend the day indoors with the fractal cats. Until next time, take care, and trying to squeeze the quantum world into the world of classic Newtonian common sense is as futile as trying to squeeze a 4-dimensional hypercube into the 3-dimensional world without distorting it. Yet this is what the different interpretations of QM are apparently trying to do. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= MothEaten_Minibrot { ; time=0:03:14.60 SF5 at 200MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=FinDivBrot-2 function=recip passes=1 center-mag=-0.219974943536/+1.166215418628/775/1/\ 4.75/0 params=-1/6.25/10/0 float=y maxiter=1500 inside=bof60 outside=fmod logmap=yes periodicity=6 colors=000000gRP`XQUcQNiRGpSzzSGUL1JE7EFD6ZJ4hO2rW\ CjcLbkUWzcclWSlWQgVNbUKZTHUSFPRCLQ9GP6CP4AUA8ZF6cK\ 4hQ2mV1r_5la8gcCbeFYfIShMNjPIlSDm_IafNRgKPhINiFLzT\ JjBHgEGdGGaIG_KGXMGUOGSQGPTFMVFJXFHZFE`FBbF9dFGeKM\ ePSfUYfZcfbbe`ae_`eZ_eYZeXYeWXdVWdUVdTUdSTdRSdQRdP\ QcOPcNOcMNcLMcKLcJLcIkeHgfGchG_iFWjFSkFQ`RPQaOFlN4\ wM9tLDqLHnKLkKQhJUeJYcIa`HeYHjVGnSGrPFvMFzKHsIImGJ\ gFLaDtWCzPAPJ8QD7R75S14R26z37Rz8Q5AQ6BQ7Cz8DUAMYCU\ aEbeGjZJhSMfLOdERb8Ta9VW9WR9YL9ZGA_FB_EC`ED`DDaDEa\ CFbBGbBHcAHcAId9Jd8Ke8Le7Le7LfALfDLgGLgJLhLLhOLiRL\ iULjXLjZLkaLkdLlgLljLmlLmoLnrLnuLoxLozOnxQmwSlvVku\ XjtZirahzcgzefzgezjdzlcznbzqazs`zu_zwZzuYzsYzqYzoY\ zmYzkYziYcgYbeYbcYbaYaNEsLEsKEsJEsIEsHEqGEoGEmFEkF\ EiEEhEEfDEdDEbCE`CE_DF`EFaEGbFGcGHdGHdHIeIIfIJgJJh\ KKiKKiMLhNLgOMfPMeQNdSNcTObUOaVP`WP_YQZZQY_RX`RWaR\ VTQTKQSBQR2QQ3NR3LS4JTnKO } frm:FinDivBrot-2 { ; Jim Muth z=(0,0), c=pixel, a=-(real(p1)-2), esc=(real(p2)+16), b=imag(p1): z=(b)*(z*z*fn1(z^(a)+b))+c |z| < esc } END PARAMETER FILE=========================================

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Re: [Fractint] FOTX -- May 22, 2016 <Brian>
by Harold Lane 24 May '16

24 May '16

Brian, http://bprentice.webenet.net/Fractal%20Images/Set%2019/BP_19_03b.png That's a really nice image. I clearly need a bigger display! What steps do you use for your anti-aliasing? (You may have told me some time ago, but if you did, I've forgotten.) - Hal Lane ######################## # hallane(a)earthlink.net ######################## -----Original Message----- From: Fractint [mailto:fractint-bounces@mailman.xmission.com] On Behalf Of Brian Prentice Sent: Monday, May 23, 2016 6:49 PM To: Fractint and General Fractals Discussion <fractint(a)mailman.xmission.com> Subject: Re: [Fractint] FOTX -- May 22, 2016 A detail using Jim’s recent formula: http://bprentice.webenet.net/Fractal%20Images/Set%2019/BP_19_03b.png <http://bprentice.webenet.net/Fractal%20Images/Set%2019/BP_19_03b.png> Brian Prentice _______________________________________________ Fractint mailing list Fractint(a)mailman.xmission.com https://mailman.xmission.com/cgi-bin/mailman/listinfo/fractint --- This email has been checked for viruses by Avast antivirus software. https://www.avast.com/antivirus

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Re: [Fractint] FOTX -- May 22, 2016
by Brian Prentice 23 May '16

23 May '16

A detail using Jim’s recent formula: http://bprentice.webenet.net/Fractal%20Images/Set%2019/BP_19_03b.png <http://bprentice.webenet.net/Fractal%20Images/Set%2019/BP_19_03b.png> Brian Prentice

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FOTX -- May 19, 2016
by Jim Muth 21 May '16

21 May '16

FOTD -- May 19, 2016 (Rating A-7,M-8) Fractal visionaries and enthusiasts: Today's image shows a little of what can be done with minibrots of the seventh order when they are calculated in a new way. The formula will reveal the new way, which I discovered several years ago while making up new random formulas, most of which drew beautiful blank screens. When fractals go above the quintic level, they quickly begin to all look the same, and by the time we reach the tenth order, the difference between orders is hard to notice. But look at what lurks in fractals of the seventh order, (and higher orders as well), when we do something new with them. Not only do we have a near perfect minibrot, but there is a very interesting extended pattern surrounding it, partly derived from the parent quadratic Mandelbrot set. This opens an entire new world of fractal exploration, at least for those who seek minibrots. It is also possible to have fractals of fractional orders without those annoying discontinuities, as well as fractals of negative orders. I have just recently begun exploring this stuff, and I'm sure I'll find more new discoveries, not only with today's formula, but with several new formulas I am working on, but have not yet worked the bugs out of. It's such a pleasant day here at FC that I will skip my regular comments about controversial things and enjoy the final rays of sunshine along with FL and the fractal cats. Today turned out quite pleasant here at Fractal Central, with partly cloudy skies, a temperature of 72F 22C, and sunshine that was brilliant between the clouds. The fractal cats took full advantage of the weather by sleeping through the afternoon, while FL puttered in her garden and I searched the internet for things of interest, which there is no shortage of. The next FOTD will be posted in the not too distant future. Until then, take care, and eventually righteousness will prevail, but how will we recognize it when it does? Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= WhoSaid_it_wasDull { ; time=0:04:20.78 SF5 at 200MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=FinDivBrot-2 function=recip passes=1 center-mag=-1.763934523347755/+0.02813687742880176\ /7.566265e+009/1/-27.5000157382336603/1.05747547\ 304718692e-005 params=7/200000000000000.0/0/0 float=y maxiter=3600 inside=0 logmap=99 periodicity=6 colors=000KFhPGlUGoZHscIwgIzcFr`CjX9bU7VZ9SbBPfDNk\ FKoHIsJFwLDkR9_W6Oa3Cf0TjHimYypmprnhsn_uoSvoJxpByp\ BtoBonBjnBemB`lBWlBRkBMk9Id7EZ5AT36N13H87GEAGKEFQH\ FJDDDAB669038UBVNPYHb_BpaPqdbrgorjmlflgckb_iYXhTTg\ OQfJNVaRKsVQmYWh`accfZflUirPlwKnhXkUhhGteMLLLMIKNG\ JODJPBIQ8HR6GS3GS1PTHYTXfTldVkbWj`XiZYhlTNyP1hVJT`\ `DfqFhmGjjHkgKjdNjaPiZSiWViTXhQ_hNahLc`WdTeeLofEyi\ CukBrmAoo8lq7is6fk7dd7bX8`Q8ZXQOcgEjy47sg6pb6nY6lT\ 6mS6mS6mS7af8RtIVuSYva`wkcxufynbwhZvbVtWRsQNqKJpEG\ oKEqPDrVBs_Atd9vj7wo6xt5yBVfSLZgBRw1Jq6LkBNfFP`KRW\ OSVPTUPUUPVTQWSQWSQXRQYQRZQR_PR_OR`OSaNSbMScMScU_`\ `fZhnXouVnoSniQndOmZMmUKmOImJGjIHgHIdGJbFK_ELXDMUC\ NSCORDMRDLRDKRDIQDHQDGQDEQDDPDCPDAPD9PD8yWytYxoZwk\ _vf`ubbuYctUdsPerLgrGhqCip7jo3ko5ll6mj7mh8ne9ocAoa\ BpZCqXDqVTeegVphToiSojQokPolNomMonLooJnpInqGnrFnsD\ ntCntBnsCo_D_RD`ID`AD`FEd } frm:FinDivBrot-2 { ; Jim Muth z=(0,0), c=pixel, a=-(real(p1)-2), esc=(real(p2)+16), b=imag(p1): z=(b)*(z*z*fn1(z^(a)+b))+c |z| < esc } END PARAMETER FILE=========================================

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FOTX -- May 18, 2016
by Jim Muth 19 May '16

19 May '16

FOTX -- May 18, 2016 (Rating A-7,M-6) Fractal visionaries and enthusiasts: Today's formula, the MandelbrotMix3 is about eight years old and mixes four different powers of Z into one hopefully superb fractal. I rarely use it because it requires the critical points to be calculated by hand. In today's image we mix Z^(1.8), Z^(-0.8), (Z), and Z^(+0.8). This unlikely mixture creates a parent fractal that at first glance appears to have little promise. And to make matters worse, we check one of the least promising areas. But fractals hold no end of surprises and today's image shows what sometimes lurks in the depths of fractals that appear dead on the surface. No one was more surprised than myself when a universe filled with floating eggs appeared as I rotated the color palette. I immediately named the image "Quantum Egg World". I am currently quite interested in the debates going on in the field of quantum mechanics. Quantum stuff is also quite trendy among the general population. No one knows exactly what quantum theory is, but judging by how the word is so carelessly tossed about, the general feeling is that it must be something almost magical. I'll have much more to say about the quantum conclusions I have arrived at over the past 15 months or so. Like everyone else, I will have no proof for any of the sometimes outrageous things I might say, but then, I will merely be expressing my personal opinions, not trying to convert anyone to mysticism or fight the rise of irrationality. The only thing I am now absolutely certain of is that if someone wants to know more about quantum theory, they should check something like 'quantum decoherence' on the internet. They will come away knowing even less than before they checked. It was another overcast day here at Fractal Central. The high temperature of 64F 18C was well below the average high of 77F 25C. The fractal cats complained when I offered them a can of quantum cat food, which turned out to be both empty and filled at the same time. FL is getting impatient with the continued chilly, damp weather, which is slowing the growth of her flowers. The next FOTX will be posted in a few days. The FOTX artistic quality will be going up in a few days (I hope!). Until next time, take care and be happy with things the way they are. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Quantum_Egg_World { ; time=0:16:04.49 SF5 at 200MHZ reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotMix3 function=recip passes=1 center-mag=-0.34313191980537870/-0.226238684265287\ 00/2.485808e+008/1/-49.9999996942864371/-3.8593382\ 255258657e-007 params=0.4/1.8/2/-0.8/-1/1/2/0.8/\ 1.1003729163945/0 float=y maxiter=1800 inside=bof60 colors=000RnBMsDIwEQ2HP2IP2JP2JO2KO2KO2LO2LN2MN2MN\ 2NN2NM2Oorznqzmpzlozkmzjkziizhgwgetfdqecndbkcahb`e\ a_c`Za_X_ZWYYUWXSUVQSTOQRMOOKMLIK000000MJEMMCMPAMS\ 8MV7MW8MY9M_9NaANcANeBNfCNhCNjDNlDNnENoEPkHQgKScMT\ _PVWRWSUXPWWT`WWdW_iWbmWfrWivWlzSjykhxjcxiawh`vgZu\ fXteVsdTscRqaQo_PmYOkWNiULhSKfQJdOIbMH`LH_KGYLHXMI\ WNJVOKUPLTQMWRN_SObTPeUQhVRkWRfXNaYJXZFS_BOlSKsgGz\ wCzqBzlAzf9za8zX7zR6zM5zH4zB3z62z12X4D37O8DLDJJHPH\ MUFR_CVeA_k8cp6doBdoFdnJdnOemSemWel`eldfkhfkmfjqfj\ ucitaht_gsYfsWerUdrScrQbqOaqM`pK_pI_pXPejEVx4Lv9Ou\ DQtISsMVrRXqVZo_anccmhellhkqjjuldckzzjzzjzzkzzkzzk\ zzlzzlzzlzzlzzmzzmzzmzznzznzznzznzzRzzQzzQzzQzzQzz\ QzzQzzQzzQzzPzzPzzPzzPzzPzzPzzPxzPuzRzzSzzTzzUzzWz\ zXzzYzzZzz`zzazzbzzczzezzfzzgzzhzzMzz0zz4zz8zzBzzF\ zzJzzMzzQzzUzzXzz`zzdzzgzzkzznzzSzzVzzXzzZzzazzczz\ ezzhzzjzzlzz6zz6zz6zzAzzD } frm:MandelbrotMix3 {; Jim Muth z=p5, c=fn1(pixel), a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=real(p3), h=imag(p3), j=real(p4), k=imag(p4): z=(a*(z^b))+(d*(z^f))+(g*(z^h))+(j*(z^k))+c, |z| <= 100 } END PARAMETER FILE=========================================

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Re: [Fractint] Please do yourself a huge favor and take the free Win 10 upgrade.
by Timothy Wegner 18 May '16

18 May '16

This tidbit is horrifically off topic I know so forgive me, I don't want to hijack the wonderful resumption of fractal discussion that Jim Muth has triggered (thanks Jim) with a big Windows discussion. I know there are many strongly held opinions on this subject. Just to say that apparently when you upgrade to Windows 10, your old Windows 7 or 8.1 license still works. So I created a backup image of the pre-upgrade OS, and burned it back to a different SSD. I have a Kingwin replacement for my floppy drive that allows plugging in SSDs. So in an instant I can run either Windows 10 or Windows 8.1 depending on which SSD I plug in. I have kept both patched and up to date. I do this so, among other things, I can download data from my old Polar HRM that uses IrDA. IrDA support was removed without warning when Windows 10 was released. I can also use Media Center on the old version, which is protected from upgrade with Steve Gibson's Never10 utility. I have given up on Windows XP because that old machine sadly died, along with my Fractint development environment. I need to create a new Fractint development environment, maybe in a virtual Machine. I have another machine with Windows 7 because I use Media Center heavily. The point is you can have your cake and eat it too and keep your old OS when you upgrade. Good idea to have a backup anyway before upgrading. Tim (PS I see Mark has now weighed in. I don't want to prohibit Windows discussion since it has come up, but let's do let the OS discussion die down before too long, Tim says after having just continued it!)

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Windows 7 / 10
by David W Riccio 18 May '16

18 May '16

I have a number of machines running Dual Win10 and Win7 boot drives. If you have room in your case for multiple drives you can install both a Win 7 boot drive and a Win 10 boot drive in the same box and use the BIOS boot setting to select the drive the machine will boot to when you start your machine. And/or you can swap drives like Timothy is doing. On using XP ... It will install in Virtual Box on Win 7 and/or Win 10 and works fine in either environment. Also true for FreeDOS (and the FreeDOS - Fractint VM) I have also tested WinXP, Win7 and Win10 in VirtualBox on a MacPro Workstation and they all work fine. The Virtual Box Extensions allow XP to be very versatile in configuring your display settings so Fractint can use a big display context. On Never10 - I have tested it on a number of Win7 machines and it works great I am loving all the wonderful Fractal discussions and new fractals! (That said, I don't mind a bit of the off topic posts) -- -David www.lemoncreekdigital.com

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Re: [Fractint] Please do yourself a huge favor and take the free Win 10 upgrade.
by Harold Lane 18 May '16

18 May '16

> > I'm not as happy with the anti-aliasing I've been able to do with > > tools on this Win 8.1 computer compared to those on my Win XP machine. > Please do yourself a huge favor and take the free Win 10 upgrade. Good idea, David. I'm seriously considering doing that. I also want to avoid the rush in July. Since my Win 8.1 (8-core) machine has become both sluggish & erratic, I guess I should do a backup, format, and install a "completely fresh" version of the Win 10 op sys. I'm not looking forward to all the app re-installs and loss of app configuration. I had to do a Factory Restore recently & it was very disruptive & stressful. - Hal Lane ######################## # hallane(a)earthlink.net ######################## -----Original Message----- From: Fractint [mailto:fractint-bounces@mailman.xmission.com] On Behalf Of David Jones Sent: Wednesday, May 18, 2016 2:36 AM To: Fractint and General Fractals Discussion <fractint(a)mailman.xmission.com> Subject: Re: [Fractint] FOTX -- May 16, 2016 // GIF Animation! // Please do yourself a huge favor and take the free Win 10 upgrade. The deadline is approaching in July sometime. The 8.x set should never have been released. David W. Jones gnome(a)hawaii.rr.com authenticity, honesty, community http://dancingtreefrog.comOn May 17, 2016 15:59, Harold Lane <hallane(a)earthlink.net> wrote: > > I'm not as happy with the anti-aliasing I've been able to do with > tools on this Win 8.1 computer compared to those on my Win XP machine. > I'm still experimenting and I've improved it somewhat. > > Thanks for clicking the images to prevent resampling. > > Jim's FOTX: > http://www.emarketingiseasy.com/TESTS/FOTD/2016/F160516.jpg > > Jim's "...obvious minibrot at the top center edge of the frame." > "An order 7 minibrot with quadratic surroundings!?" > http://www.emarketingiseasy.com/TESTS/FOTD/2016/F160516A.jpg > > Hal's investigations: > "Reaching for Infinity": > http://www.emarketingiseasy.com/TESTS/FOTD/2016/F160516B.jpg > > Wow! In this zoom into "Reaching for Infinity," if you count the > number of fat blue arms that extend most of the way to the edge of the > image, and also include in your count the slightly shorter blue arms > midway between them, you get 8. > Now, count the number of yellow-green splats forming a slightly > smaller circle inside the blue arms, and you get 7. > Now, count the number of arms on the black minibrot/Mandeloid, and you > get 6 (called "order 7".) There's a symmetry factor for everyone in > this image!: > http://www.emarketingiseasy.com/TESTS/FOTD/2016/F160516C.jpg > > Jim says: "...raise the already huge imag(p1) parameter a few orders > of magnitude and watch the order 7 minibrot gradually morph into a > quadratic one." > > // GIF animation // of imag (p1) raised in 11 steps from: 2x10^(10) to > 2x10^(20) in steps of a factor of 10 greater each step in Jim's > "...obvious minibrot at the top center edge of the frame.": > Not anti-aliased. > http://www.emarketingiseasy.com/TESTS/FOTD/2016/F160516P.gif > > Out the negative X-axis, the largest bud with an "attracting cycle of > period 2" has islands: > http://www.emarketingiseasy.com/TESTS/FOTD/2016/F160516S.jpg > > And just to its left: > http://www.emarketingiseasy.com/TESTS/FOTD/2016/F160516T.jpg > > - Hal Lane > > ######################## > # hallane(a)earthlink.net > ######################## > > -----Original Message----- > From: Fractint [mailto:fractint-bounces@mailman.xmission.com] On > Behalf Of Jim Muth > Sent: Monday, May 16, 2016 7:45 PM > To: fractint <fractint(a)mailman.xmission.com> > Subject: [Fractint] FOTX -- May 16, 2016 > > > FOTD -- May 16, 2016 (Rating A-7,M-9) > > Fractal visionaries and enthusiasts: > > Today's image is strange. The strangeness does not appear on the > surface, which is a simple image of the large minibrot on the main > stem of the Mandelbrot set. But do not yet give up hope. To see > something strange indeed, check the obvious minibrot at the top center > edge of the frame, on the filament extending from the northern bud of the large minibrot. > > What is this we find?! An order 7 minibrot with quadratic surroundings!? > > Assuming that you have already seen the mysterious 'brot, how is it > possible? The minibrot is of order 7, nothing at all like the > quadratic minibrot from which its filament extends. In fact, > everything deeper in the same parent fractal is of order 7, while > everything closer to the surface has a quadratic nature. The formula does it all. > > As an extra surprise, raise the already huge imag(p1) parameter a few > orders of magnitude and watch the order 7 minibrot gradually morph > into a quadratic one. > > Another bonus with this formula, which is several years old, is that > it is possible to generate minibrots of fractional orders with none of > the discontinuities that spoil scenes and minibrots created the easy > Z^(2.5)+C way. > > The day here at Fractal Central began clear and frosty. It was > reported that this morning's low of 34 was the coldest it has ever > been in Central Pennsylvania this late in May. But once the sun got > to work later in the morning, the temperature reached a rather > pleasant 68F 20C. And yes, we do have kittens under the fractal back > porch. Their mother had them out exploring the fractal yard this afternoon. > > Well, I guess that's it for now. I'm sorry to hear that I should take > it easy on the divisive philosophy for fear of causing too much > off-topic debate. But as I see it, according to the scientists who > have spent their lives studying such things, the sub-atomic world and > fractals are actually the same things -- the mental images created in > people's minds by the underlying numbers, and it's hard to accept a > real objective world or a real fractal world made of building blocks > that are no more solid than mathematical abstractions. If I'm wrong > here, squelch the debate in the bud by showing where my thinking has gone astray. > > If I see things getting too contentious on the list, I might start my > own mailing list, where fractal philosophy will come first. I hope > not, since I'm working on a few very interesting new Fractint formulas. > > The next FOTX will be posted in a couple days. Until then, take care, > and why does merely discussing reality cause such intense feelings? > Maybe it's not fractally correct. > > > Jim Muth > jimmuth(a)earthlink.net > > > START PARAMETER FILE======================================= > > Strange_Mystery { ; time=0:00:33.40 SF5 at 200MHZ > reset=2004 type=formula formulafile=basicer.frm > formulaname=FinDivBrot-2 function=recip float=y > center-mag=-1.76264/0/34.7844 params=7/20000000\ > 000.0/0/0 maxiter=1500 inside=0 periodicity=6 > colors=000J36NUURtpVsqZrrbrsfqtjqtflrbgpZcoVZmRVlN\ > QjJMdGIbFG_DFWACQ89J56D236ke3WS2GE1rYPRHCGT`DOUAJO\ > 8EI59C246VUmPPdKKXFFPAAG558VmxOckIU_CKO6AC26F15C14\ > A137025012dzJWmFO`BGP78C3O60J40E309204105aQ4WM3RI2\ > LE2GB1A7053OkaCOJ8lGY2_T1UO1PJ1KE0F90A405atCJS6Im3\ > Fd2CX29P16G1380pNjQBNrzvjqmbheV_XNRPFIG798SQ4MK3GF\ > 2BA1550u9Ul7Pd6LX5HO3CG28814e41_30V30Q20L20F10A105\ > 00ZuoGInAfq5LRABG558rRxhMm_IcRDUI9K94AgOraLkXIdRFY\ > MCRG9KB6D536SaBMU8GM6BF4572PUH5A6TeTOZOJSJELE9E947\ > 4amMVdIPXEJPBCG7683rUZ_KNIABN8kJ6cF5WB4O72G3183aJ2\ > WG2RD1LA1G80A5052oF1Jt3Ca26J1b89W67Q56J44D23611eVW\ > VNOLFGA78RPSNLOJHKFEGBAC778334a11X00S00N00J00E0090\ > 0400K55H44E33B228225112007vX5gO3TG1E8oXRhSNbOKWKGQ\ > GDJCAD86643g12Z01Q01H00800WSoQNfLIYGEQA9H548g2v_1l\ > T1bM1TE0J709M59G36B24512RPgNLaKIXGFRDCMA9G66B335ZY\ > vQPgHHT88Ex0Mp0Jh0Ga0DU0B } > > frm:FinDivBrot-2 { ; Jim Muth > z=(0,0), c=pixel, a=-(real(p1)-2), > esc=(real(p2)+16), b=imag(p1): > z=(b)*(z*z*fn1(z^(a)+b))+c > |z| < esc } > > END PARAMETER FILE========================================= > > > > _______________________________________________ > Fractint mailing list > Fractint(a)mailman.xmission.com > https://mailman.xmission.com/cgi-bin/mailman/listinfo/fractint > > > --- > This email has been checked for viruses by Avast antivirus software. > https://www.avast.com/antivirus > > > _______________________________________________ > Fractint mailing list > Fractint(a)mailman.xmission.com > https://mailman.xmission.com/cgi-bin/mailman/listinfo/fractint _______________________________________________ Fractint mailing list Fractint(a)mailman.xmission.com https://mailman.xmission.com/cgi-bin/mailman/listinfo/fractint --- This email has been checked for viruses by Avast antivirus software. https://www.avast.com/antivirus

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Re: [Fractint] FOTX -- May 16, 2016 // GIF Animation! //
by David Jones 18 May '16

18 May '16

Please do yourself a huge favor and take the free Win 10 upgrade. The deadline is approaching in July sometime. The 8.x set should never have been released. David W. Jones gnome(a)hawaii.rr.com authenticity, honesty, community http://dancingtreefrog.comOn May 17, 2016 15:59, Harold Lane <hallane(a)earthlink.net> wrote: > > I'm not as happy with the anti-aliasing I've been able to do with > tools on this Win 8.1 computer compared to those on my Win XP > machine. I'm still experimenting and I've improved it somewhat. > > Thanks for clicking the images to prevent resampling. > > Jim's FOTX: > http://www.emarketingiseasy.com/TESTS/FOTD/2016/F160516.jpg > > Jim's "...obvious minibrot at the top center edge of the frame." > "An order 7 minibrot with quadratic surroundings!?" > http://www.emarketingiseasy.com/TESTS/FOTD/2016/F160516A.jpg > > Hal's investigations: > "Reaching for Infinity": > http://www.emarketingiseasy.com/TESTS/FOTD/2016/F160516B.jpg > > Wow! In this zoom into "Reaching for Infinity," if you count the number of > fat blue arms that extend most of the way to the edge of the image, and also > include in your count the slightly shorter blue arms midway between them, > you get 8. > Now, count the number of yellow-green splats forming a slightly smaller > circle inside the blue arms, and you get 7. > Now, count the number of arms on the black minibrot/Mandeloid, and you get 6 > (called "order 7".) > There's a symmetry factor for everyone in this image!: > http://www.emarketingiseasy.com/TESTS/FOTD/2016/F160516C.jpg > > Jim says: "...raise the already huge imag(p1) parameter a few orders of > magnitude and watch the order 7 minibrot gradually morph into a quadratic > one." > > // GIF animation // of imag (p1) raised in 11 steps from: 2x10^(10) to > 2x10^(20) in steps of a factor of 10 greater each step in Jim's > "...obvious minibrot at the top center edge of the frame.": > Not anti-aliased. > http://www.emarketingiseasy.com/TESTS/FOTD/2016/F160516P.gif > > Out the negative X-axis, the largest bud with an "attracting cycle > of period 2" has islands: > http://www.emarketingiseasy.com/TESTS/FOTD/2016/F160516S.jpg > > And just to its left: > http://www.emarketingiseasy.com/TESTS/FOTD/2016/F160516T.jpg > > - Hal Lane > > ######################## > # hallane(a)earthlink.net > ######################## > > -----Original Message----- > From: Fractint [mailto:fractint-bounces@mailman.xmission.com] On Behalf Of > Jim Muth > Sent: Monday, May 16, 2016 7:45 PM > To: fractint <fractint(a)mailman.xmission.com> > Subject: [Fractint] FOTX -- May 16, 2016 > > > FOTD -- May 16, 2016 (Rating A-7,M-9) > > Fractal visionaries and enthusiasts: > > Today's image is strange. The strangeness does not appear on the surface, > which is a simple image of the large minibrot on the main stem of the > Mandelbrot set. But do not yet give up hope. To see something strange > indeed, check the obvious minibrot at the top center edge of the frame, on > the filament extending from the northern bud of the large minibrot. > > What is this we find?! An order 7 minibrot with quadratic surroundings!? > > Assuming that you have already seen the mysterious 'brot, how is it > possible? The minibrot is of order 7, nothing at all like the quadratic > minibrot from which its filament extends. In fact, everything deeper in the > same parent fractal is of order 7, while everything closer to the surface > has a quadratic nature. The formula does it all. > > As an extra surprise, raise the already huge imag(p1) parameter a few orders > of magnitude and watch the order 7 minibrot gradually morph into a quadratic > one. > > Another bonus with this formula, which is several years old, is that it is > possible to generate minibrots of fractional orders with none of the > discontinuities that spoil scenes and minibrots created the easy Z^(2.5)+C > way. > > The day here at Fractal Central began clear and frosty. It was reported > that this morning's low of 34 was the coldest it has ever been in Central > Pennsylvania this late in May. But once the sun got to work later in the > morning, the temperature reached a rather pleasant 68F 20C. And yes, we do > have kittens under the fractal back porch. Their mother had them out > exploring the fractal yard this afternoon. > > Well, I guess that's it for now. I'm sorry to hear that I should take it > easy on the divisive philosophy for fear of causing too much off-topic > debate. But as I see it, according to the scientists who have spent their > lives studying such things, the sub-atomic world and fractals are actually > the same things -- the mental images created in people's minds by the > underlying numbers, and it's hard to accept a real objective world or a real > fractal world made of building blocks that are no more solid than > mathematical abstractions. If I'm wrong here, squelch the debate in the bud > by showing where my thinking has gone astray. > > If I see things getting too contentious on the list, I might start my own > mailing list, where fractal philosophy will come first. I hope not, since > I'm working on a few very interesting new Fractint formulas. > > The next FOTX will be posted in a couple days. Until then, take care, and > why does merely discussing reality cause such intense feelings? Maybe it's > not fractally correct. > > > Jim Muth > jimmuth(a)earthlink.net > > > START PARAMETER FILE======================================= > > Strange_Mystery { ; time=0:00:33.40 SF5 at 200MHZ > reset=2004 type=formula formulafile=basicer.frm > formulaname=FinDivBrot-2 function=recip float=y > center-mag=-1.76264/0/34.7844 params=7/20000000\ > 000.0/0/0 maxiter=1500 inside=0 periodicity=6 > colors=000J36NUURtpVsqZrrbrsfqtjqtflrbgpZcoVZmRVlN\ > QjJMdGIbFG_DFWACQ89J56D236ke3WS2GE1rYPRHCGT`DOUAJO\ > 8EI59C246VUmPPdKKXFFPAAG558VmxOckIU_CKO6AC26F15C14\ > A137025012dzJWmFO`BGP78C3O60J40E309204105aQ4WM3RI2\ > LE2GB1A7053OkaCOJ8lGY2_T1UO1PJ1KE0F90A405atCJS6Im3\ > Fd2CX29P16G1380pNjQBNrzvjqmbheV_XNRPFIG798SQ4MK3GF\ > 2BA1550u9Ul7Pd6LX5HO3CG28814e41_30V30Q20L20F10A105\ > 00ZuoGInAfq5LRABG558rRxhMm_IcRDUI9K94AgOraLkXIdRFY\ > MCRG9KB6D536SaBMU8GM6BF4572PUH5A6TeTOZOJSJELE9E947\ > 4amMVdIPXEJPBCG7683rUZ_KNIABN8kJ6cF5WB4O72G3183aJ2\ > WG2RD1LA1G80A5052oF1Jt3Ca26J1b89W67Q56J44D23611eVW\ > VNOLFGA78RPSNLOJHKFEGBAC778334a11X00S00N00J00E0090\ > 0400K55H44E33B228225112007vX5gO3TG1E8oXRhSNbOKWKGQ\ > GDJCAD86643g12Z01Q01H00800WSoQNfLIYGEQA9H548g2v_1l\ > T1bM1TE0J709M59G36B24512RPgNLaKIXGFRDCMA9G66B335ZY\ > vQPgHHT88Ex0Mp0Jh0Ga0DU0B } > > frm:FinDivBrot-2 { ; Jim Muth > z=(0,0), c=pixel, a=-(real(p1)-2), > esc=(real(p2)+16), b=imag(p1): > z=(b)*(z*z*fn1(z^(a)+b))+c > |z| < esc } > > END PARAMETER FILE========================================= > > > > _______________________________________________ > Fractint mailing list > Fractint(a)mailman.xmission.com > https://mailman.xmission.com/cgi-bin/mailman/listinfo/fractint > > > --- > This email has been checked for viruses by Avast antivirus software. > https://www.avast.com/antivirus > > > _______________________________________________ > Fractint mailing list > Fractint(a)mailman.xmission.com > https://mailman.xmission.com/cgi-bin/mailman/listinfo/fractint

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FOTX -- May 16, 2016
by Jim Muth 18 May '16

18 May '16

FOTD -- May 16, 2016 (Rating A-7,M-9) Fractal visionaries and enthusiasts: Today's image is strange. The strangeness does not appear on the surface, which is a simple image of the large minibrot on the main stem of the Mandelbrot set. But do not yet give up hope. To see something strange indeed, check the obvious minibrot at the top center edge of the frame, on the filament extending from the northern bud of the large minibrot. What is this we find?! An order 7 minibrot with quadratic surroundings!? Assuming that you have already seen the mysterious 'brot, how is it possible? The minibrot is of order 7, nothing at all like the quadratic minibrot from which its filament extends. In fact, everything deeper in the same parent fractal is of order 7, while everything closer to the surface has a quadratic nature. The formula does it all. As an extra surprise, raise the already huge imag(p1) parameter a few orders of magnitude and watch the order 7 minibrot gradually morph into a quadratic one. Another bonus with this formula, which is several years old, is that it is possible to generate minibrots of fractional orders with none of the discontinuities that spoil scenes and minibrots created the easy Z^(2.5)+C way. The day here at Fractal Central began clear and frosty. It was reported that this morning's low of 34 was the coldest it has ever been in Central Pennsylvania this late in May. But once the sun got to work later in the morning, the temperature reached a rather pleasant 68F 20C. And yes, we do have kittens under the fractal back porch. Their mother had them out exploring the fractal yard this afternoon. Well, I guess that's it for now. I'm sorry to hear that I should take it easy on the divisive philosophy for fear of causing too much off-topic debate. But as I see it, according to the scientists who have spent their lives studying such things, the sub-atomic world and fractals are actually the same things -- the mental images created in people's minds by the underlying numbers, and it's hard to accept a real objective world or a real fractal world made of building blocks that are no more solid than mathematical abstractions. If I'm wrong here, squelch the debate in the bud by showing where my thinking has gone astray. If I see things getting too contentious on the list, I might start my own mailing list, where fractal philosophy will come first. I hope not, since I'm working on a few very interesting new Fractint formulas. The next FOTX will be posted in a couple days. Until then, take care, and why does merely discussing reality cause such intense feelings? Maybe it's not fractally correct. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Strange_Mystery { ; time=0:00:33.40 SF5 at 200MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=FinDivBrot-2 function=recip float=y center-mag=-1.76264/0/34.7844 params=7/20000000\ 000.0/0/0 maxiter=1500 inside=0 periodicity=6 colors=000J36NUURtpVsqZrrbrsfqtjqtflrbgpZcoVZmRVlN\ QjJMdGIbFG_DFWACQ89J56D236ke3WS2GE1rYPRHCGT`DOUAJO\ 8EI59C246VUmPPdKKXFFPAAG558VmxOckIU_CKO6AC26F15C14\ A137025012dzJWmFO`BGP78C3O60J40E309204105aQ4WM3RI2\ LE2GB1A7053OkaCOJ8lGY2_T1UO1PJ1KE0F90A405atCJS6Im3\ Fd2CX29P16G1380pNjQBNrzvjqmbheV_XNRPFIG798SQ4MK3GF\ 2BA1550u9Ul7Pd6LX5HO3CG28814e41_30V30Q20L20F10A105\ 00ZuoGInAfq5LRABG558rRxhMm_IcRDUI9K94AgOraLkXIdRFY\ MCRG9KB6D536SaBMU8GM6BF4572PUH5A6TeTOZOJSJELE9E947\ 4amMVdIPXEJPBCG7683rUZ_KNIABN8kJ6cF5WB4O72G3183aJ2\ WG2RD1LA1G80A5052oF1Jt3Ca26J1b89W67Q56J44D23611eVW\ VNOLFGA78RPSNLOJHKFEGBAC778334a11X00S00N00J00E0090\ 0400K55H44E33B228225112007vX5gO3TG1E8oXRhSNbOKWKGQ\ GDJCAD86643g12Z01Q01H00800WSoQNfLIYGEQA9H548g2v_1l\ T1bM1TE0J709M59G36B24512RPgNLaKIXGFRDCMA9G66B335ZY\ vQPgHHT88Ex0Mp0Jh0Ga0DU0B } frm:FinDivBrot-2 { ; Jim Muth z=(0,0), c=pixel, a=-(real(p1)-2), esc=(real(p2)+16), b=imag(p1): z=(b)*(z*z*fn1(z^(a)+b))+c |z| < esc } END PARAMETER FILE=========================================

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Re: [Fractint] FOTX -- May 16, 2016 // GIF Animation! //
by Harold Lane 18 May '16

18 May '16

I'm not as happy with the anti-aliasing I've been able to do with tools on this Win 8.1 computer compared to those on my Win XP machine. I'm still experimenting and I've improved it somewhat. Thanks for clicking the images to prevent resampling. Jim's FOTX: http://www.emarketingiseasy.com/TESTS/FOTD/2016/F160516.jpg Jim's "...obvious minibrot at the top center edge of the frame." "An order 7 minibrot with quadratic surroundings!?" http://www.emarketingiseasy.com/TESTS/FOTD/2016/F160516A.jpg Hal's investigations: "Reaching for Infinity": http://www.emarketingiseasy.com/TESTS/FOTD/2016/F160516B.jpg Wow! In this zoom into "Reaching for Infinity," if you count the number of fat blue arms that extend most of the way to the edge of the image, and also include in your count the slightly shorter blue arms midway between them, you get 8. Now, count the number of yellow-green splats forming a slightly smaller circle inside the blue arms, and you get 7. Now, count the number of arms on the black minibrot/Mandeloid, and you get 6 (called "order 7".) There's a symmetry factor for everyone in this image!: http://www.emarketingiseasy.com/TESTS/FOTD/2016/F160516C.jpg Jim says: "...raise the already huge imag(p1) parameter a few orders of magnitude and watch the order 7 minibrot gradually morph into a quadratic one." // GIF animation // of imag (p1) raised in 11 steps from: 2x10^(10) to 2x10^(20) in steps of a factor of 10 greater each step in Jim's "...obvious minibrot at the top center edge of the frame.": Not anti-aliased. http://www.emarketingiseasy.com/TESTS/FOTD/2016/F160516P.gif Out the negative X-axis, the largest bud with an "attracting cycle of period 2" has islands: http://www.emarketingiseasy.com/TESTS/FOTD/2016/F160516S.jpg And just to its left: http://www.emarketingiseasy.com/TESTS/FOTD/2016/F160516T.jpg - Hal Lane ######################## # hallane(a)earthlink.net ######################## -----Original Message----- From: Fractint [mailto:fractint-bounces@mailman.xmission.com] On Behalf Of Jim Muth Sent: Monday, May 16, 2016 7:45 PM To: fractint <fractint(a)mailman.xmission.com> Subject: [Fractint] FOTX -- May 16, 2016 FOTD -- May 16, 2016 (Rating A-7,M-9) Fractal visionaries and enthusiasts: Today's image is strange. The strangeness does not appear on the surface, which is a simple image of the large minibrot on the main stem of the Mandelbrot set. But do not yet give up hope. To see something strange indeed, check the obvious minibrot at the top center edge of the frame, on the filament extending from the northern bud of the large minibrot. What is this we find?! An order 7 minibrot with quadratic surroundings!? Assuming that you have already seen the mysterious 'brot, how is it possible? The minibrot is of order 7, nothing at all like the quadratic minibrot from which its filament extends. In fact, everything deeper in the same parent fractal is of order 7, while everything closer to the surface has a quadratic nature. The formula does it all. As an extra surprise, raise the already huge imag(p1) parameter a few orders of magnitude and watch the order 7 minibrot gradually morph into a quadratic one. Another bonus with this formula, which is several years old, is that it is possible to generate minibrots of fractional orders with none of the discontinuities that spoil scenes and minibrots created the easy Z^(2.5)+C way. The day here at Fractal Central began clear and frosty. It was reported that this morning's low of 34 was the coldest it has ever been in Central Pennsylvania this late in May. But once the sun got to work later in the morning, the temperature reached a rather pleasant 68F 20C. And yes, we do have kittens under the fractal back porch. Their mother had them out exploring the fractal yard this afternoon. Well, I guess that's it for now. I'm sorry to hear that I should take it easy on the divisive philosophy for fear of causing too much off-topic debate. But as I see it, according to the scientists who have spent their lives studying such things, the sub-atomic world and fractals are actually the same things -- the mental images created in people's minds by the underlying numbers, and it's hard to accept a real objective world or a real fractal world made of building blocks that are no more solid than mathematical abstractions. If I'm wrong here, squelch the debate in the bud by showing where my thinking has gone astray. If I see things getting too contentious on the list, I might start my own mailing list, where fractal philosophy will come first. I hope not, since I'm working on a few very interesting new Fractint formulas. The next FOTX will be posted in a couple days. Until then, take care, and why does merely discussing reality cause such intense feelings? Maybe it's not fractally correct. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Strange_Mystery { ; time=0:00:33.40 SF5 at 200MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=FinDivBrot-2 function=recip float=y center-mag=-1.76264/0/34.7844 params=7/20000000\ 000.0/0/0 maxiter=1500 inside=0 periodicity=6 colors=000J36NUURtpVsqZrrbrsfqtjqtflrbgpZcoVZmRVlN\ QjJMdGIbFG_DFWACQ89J56D236ke3WS2GE1rYPRHCGT`DOUAJO\ 8EI59C246VUmPPdKKXFFPAAG558VmxOckIU_CKO6AC26F15C14\ A137025012dzJWmFO`BGP78C3O60J40E309204105aQ4WM3RI2\ LE2GB1A7053OkaCOJ8lGY2_T1UO1PJ1KE0F90A405atCJS6Im3\ Fd2CX29P16G1380pNjQBNrzvjqmbheV_XNRPFIG798SQ4MK3GF\ 2BA1550u9Ul7Pd6LX5HO3CG28814e41_30V30Q20L20F10A105\ 00ZuoGInAfq5LRABG558rRxhMm_IcRDUI9K94AgOraLkXIdRFY\ MCRG9KB6D536SaBMU8GM6BF4572PUH5A6TeTOZOJSJELE9E947\ 4amMVdIPXEJPBCG7683rUZ_KNIABN8kJ6cF5WB4O72G3183aJ2\ WG2RD1LA1G80A5052oF1Jt3Ca26J1b89W67Q56J44D23611eVW\ VNOLFGA78RPSNLOJHKFEGBAC778334a11X00S00N00J00E0090\ 0400K55H44E33B228225112007vX5gO3TG1E8oXRhSNbOKWKGQ\ GDJCAD86643g12Z01Q01H00800WSoQNfLIYGEQA9H548g2v_1l\ T1bM1TE0J709M59G36B24512RPgNLaKIXGFRDCMA9G66B335ZY\ vQPgHHT88Ex0Mp0Jh0Ga0DU0B } frm:FinDivBrot-2 { ; Jim Muth z=(0,0), c=pixel, a=-(real(p1)-2), esc=(real(p2)+16), b=imag(p1): z=(b)*(z*z*fn1(z^(a)+b))+c |z| < esc } END PARAMETER FILE========================================= _______________________________________________ Fractint mailing list Fractint(a)mailman.xmission.com https://mailman.xmission.com/cgi-bin/mailman/listinfo/fractint --- This email has been checked for viruses by Avast antivirus software. https://www.avast.com/antivirus

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Re: [Fractint] list your favorite fractal books. (REPLY)
by John Wilson 18 May '16

18 May '16

That "short intro" is just part of the title of a series of books published by Oxford University Press. It's not very short and appears to cover most of the basics contained in the books I once owned. It's written by a very high power mathematician—Professor of Pure Mathematics at the University of St Andrews. I'm not one of those! Then, too, the book is new to me, so I'm quickly lost. However, for CDN$6.34 it's a bargain, and I can keep it available for reference in my computer. Jovan Trujillo <jovan.trujillo3(a)gmail.com> to fractint Did you learn anything new from that short intro book?

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Re: [Fractint] list your favorite fractal books
by Jovan Trujillo 17 May '16

17 May '16

Did you learn anything new from that short intro book? Sent from my iPhone > On May 17, 2016, at 11:00 AM, fractint-request(a)mailman.xmission.com wrote: > > Send Fractint mailing list submissions to > fractint(a)mailman.xmission.com > > To subscribe or unsubscribe via the World Wide Web, visit > https://mailman.xmission.com/cgi-bin/mailman/listinfo/fractint > or, via email, send a message with subject or body 'help' to > fractint-request(a)mailman.xmission.com > > You can reach the person managing the list at > fractint-owner(a)mailman.xmission.com > > When replying, please edit your Subject line so it is more specific > than "Re: Contents of Fractint digest..." > > > Today's Topics: > > 1. FOTX -- May 16, 2016 (Jim Muth) > 2. List your favorite Fractal books (John Wilson) > > > ---------------------------------------------------------------------- > > Message: 1 > Date: Mon, 16 May 2016 19:44:54 -0400 (GMT-04:00) > From: Jim Muth <jimmuth(a)earthlink.net> > To: fractint <fractint(a)mailman.xmission.com> > Subject: [Fractint] FOTX -- May 16, 2016 > Message-ID: > <5051414.1463442295064.JavaMail.wam(a)elwamui-rustique.atl.sa.earthlink.net> > > Content-Type: text/plain; charset=UTF-8 > > > FOTD -- May 16, 2016 (Rating A-7,M-9) > > Fractal visionaries and enthusiasts: > > Today's image is strange. The strangeness does not appear on > the surface, which is a simple image of the large minibrot on > the main stem of the Mandelbrot set. But do not yet give up > hope. To see something strange indeed, check the obvious > minibrot at the top center edge of the frame, on the filament > extending from the northern bud of the large minibrot. > > What is this we find?! An order 7 minibrot with quadratic > surroundings!? > > Assuming that you have already seen the mysterious 'brot, how is > it possible? The minibrot is of order 7, nothing at all like > the quadratic minibrot from which its filament extends. In > fact, everything deeper in the same parent fractal is of order > 7, while everything closer to the surface has a quadratic > nature. The formula does it all. > > As an extra surprise, raise the already huge imag(p1) parameter > a few orders of magnitude and watch the order 7 minibrot > gradually morph into a quadratic one. > > Another bonus with this formula, which is several years old, is > that it is possible to generate minibrots of fractional orders > with none of the discontinuities that spoil scenes and minibrots > created the easy Z^(2.5)+C way. > > The day here at Fractal Central began clear and frosty. It was > reported that this morning's low of 34 was the coldest it has > ever been in Central Pennsylvania this late in May. But once > the sun got to work later in the morning, the temperature > reached a rather pleasant 68F 20C. And yes, we do have kittens > under the fractal back porch. Their mother had them out > exploring the fractal yard this afternoon. > > Well, I guess that's it for now. I'm sorry to hear that I > should take it easy on the divisive philosophy for fear of > causing too much off-topic debate. But as I see it, according > to the scientists who have spent their lives studying such > things, the sub-atomic world and fractals are actually the same > things -- the mental images created in people's minds by the > underlying numbers, and it's hard to accept a real objective > world or a real fractal world made of building blocks that are > no more solid than mathematical abstractions. If I'm wrong > here, squelch the debate in the bud by showing where my > thinking has gone astray. > > If I see things getting too contentious on the list, I might > start my own mailing list, where fractal philosophy will come > first. I hope not, since I'm working on a few very interesting > new Fractint formulas. > > The next FOTX will be posted in a couple days. Until then, take > care, and why does merely discussing reality cause such intense > feelings? Maybe it's not fractally correct. > > > Jim Muth > jimmuth(a)earthlink.net > > > START PARAMETER FILE======================================= > > Strange_Mystery { ; time=0:00:33.40 SF5 at 200MHZ > reset=2004 type=formula formulafile=basicer.frm > formulaname=FinDivBrot-2 function=recip float=y > center-mag=-1.76264/0/34.7844 params=7/20000000\ > 000.0/0/0 maxiter=1500 inside=0 periodicity=6 > colors=000J36NUURtpVsqZrrbrsfqtjqtflrbgpZcoVZmRVlN\ > QjJMdGIbFG_DFWACQ89J56D236ke3WS2GE1rYPRHCGT`DOUAJO\ > 8EI59C246VUmPPdKKXFFPAAG558VmxOckIU_CKO6AC26F15C14\ > A137025012dzJWmFO`BGP78C3O60J40E309204105aQ4WM3RI2\ > LE2GB1A7053OkaCOJ8lGY2_T1UO1PJ1KE0F90A405atCJS6Im3\ > Fd2CX29P16G1380pNjQBNrzvjqmbheV_XNRPFIG798SQ4MK3GF\ > 2BA1550u9Ul7Pd6LX5HO3CG28814e41_30V30Q20L20F10A105\ > 00ZuoGInAfq5LRABG558rRxhMm_IcRDUI9K94AgOraLkXIdRFY\ > MCRG9KB6D536SaBMU8GM6BF4572PUH5A6TeTOZOJSJELE9E947\ > 4amMVdIPXEJPBCG7683rUZ_KNIABN8kJ6cF5WB4O72G3183aJ2\ > WG2RD1LA1G80A5052oF1Jt3Ca26J1b89W67Q56J44D23611eVW\ > VNOLFGA78RPSNLOJHKFEGBAC778334a11X00S00N00J00E0090\ > 0400K55H44E33B228225112007vX5gO3TG1E8oXRhSNbOKWKGQ\ > GDJCAD86643g12Z01Q01H00800WSoQNfLIYGEQA9H548g2v_1l\ > T1bM1TE0J709M59G36B24512RPgNLaKIXGFRDCMA9G66B335ZY\ > vQPgHHT88Ex0Mp0Jh0Ga0DU0B } > > frm:FinDivBrot-2 { ; Jim Muth > z=(0,0), c=pixel, a=-(real(p1)-2), > esc=(real(p2)+16), b=imag(p1): > z=(b)*(z*z*fn1(z^(a)+b))+c > |z| < esc } > > END PARAMETER FILE========================================= > > > > > > ------------------------------ > > Message: 2 > Date: Mon, 16 May 2016 22:25:43 -0700 > From: John Wilson <1stdiscus(a)gmail.com> > To: Fractint and General Fractals Discussion > <fractint(a)mailman.xmission.com> > Subject: [Fractint] List your favorite Fractal books > Message-ID: > <CANoY1O84SL+nb=fsA_A3LYxPQHZp+4CuuG4PRnmvudTd57Ln5A(a)mail.gmail.com> > Content-Type: text/plain; charset=UTF-8 > > I was not involved in the recent discussion regarding the listing of "your > favorite fractal books". Mainly because I gave away my library a few > years ago?through this forum. I only retained one book? "Fractal > Creations Second Edition" complete with a CD signed by Tim Wegner. Tim > generously supplied this CD to all members who requested a copy, back in > 2003. > > My library has just doubled. I have downloaded a Kindle title "Fractals. > A Very Short Introduction" > One of the Oxford University publications "----- a VSI books list", this > one by Kenneth Falconer. Looks O.K. > > John W. > > > ------------------------------ > > Subject: Digest Footer > > _______________________________________________ > Fractint mailing list > Fractint(a)mailman.xmission.com > https://mailman.xmission.com/cgi-bin/mailman/listinfo/fractint > > > ------------------------------ > > End of Fractint Digest, Vol 159, Issue 13 > *****************************************

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List your favorite Fractal books
by John Wilson 17 May '16

17 May '16

I was not involved in the recent discussion regarding the listing of "your favorite fractal books". Mainly because I gave away my library a few years ago—through this forum. I only retained one book— "Fractal Creations Second Edition" complete with a CD signed by Tim Wegner. Tim generously supplied this CD to all members who requested a copy, back in 2003. My library has just doubled. I have downloaded a Kindle title "Fractals. A Very Short Introduction" One of the Oxford University publications "----- a VSI books list", this one by Kenneth Falconer. Looks O.K. John W.

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Fractal philosophizing.
by John Wilson 15 May '16

15 May '16

It's good to see you back, Jim, but beware of those philosophical musings—remember Philofractal? (The original, that is... not the more recent usurper of that name). Remember how quite a number of we Fractint devotees argued back and forth, while the number of Fractal presenters dropped to... YOU? Remember how our collective Fractal knuckles were rapped for the sin of being "OFF TOPIC"? We lost a couple of good debaters at that time and I, myself, retired from the list for a year or two. Thank you for returning. John W.

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Re: [Fractint] FOTX -- May 14, 2016; <Jim>
by Harold Lane 15 May '16

15 May '16

---------- Jim Muth said: --------- > I have also been pondering the old philosophical warhorse, > the nature of reality. So far I have come to little in the way > of an answer. Some random thoughts on the nature of reality: - When you sit down and feel the chair under you, I believe I've read that it is the electron's force fields in the chair that push against similar force fields in the seat of your pants. - When your nerves report this (using a combination of chemical and electrical means) to the mass of nerves between your ears, those nerves collectively operate as a kind of "artificial intelligence" and "interpret" the "reports" it receives to be have "meaning." [I believe that the "chemical means" also operates by electron force fields.] Now all we have to do is define all the terms in quotes! > ...[in] FOTX, (The 'X' means I have not yet decided how often > the FOT... will appear.)... Perhaps you could use: FOTw, where the lower case 'w' stands for 'whenever.' ;-) Jim's "FOTX -- May 14, 2016": (1200 x 900) http://www.emarketingiseasy.com/TESTS/FOTD/2016/F160514.jpg It's "parent" fractal: http://www.emarketingiseasy.com/TESTS/FOTD/2016/F160514Z.jpg My "investigations" of Jim's fractal: http://www.emarketingiseasy.com/TESTS/FOTD/2016/F160514A.jpg http://www.emarketingiseasy.com/TESTS/FOTD/2016/F160514B.jpg http://www.emarketingiseasy.com/TESTS/FOTD/2016/F160514C.jpg http://www.emarketingiseasy.com/TESTS/FOTD/2016/F160514D.jpg - Hal Lane ######################## # hallane(a)earthlink.net ######################## -----Original Message----- From: Fractint [mailto:fractint-bounces@mailman.xmission.com] On Behalf Of Jim Muth Sent: Saturday, May 14, 2016 7:53 PM To: fractint <fractint(a)mailman.xmission.com> Subject: [Fractint] FOTX -- May 14, 2016 FOTX -- May 14, 2016 (Rating A-9,M-7) Fractal visionaries and enthusiasts: As today's unusually fast image shows, I am getting back into my old routine of finding rather attractive fractal patterns. I might not yet be in overdrive, but I am running in second gear at least. And do not expect one of those apocalyptic zooms to a ridiculous magnitude of something like 10^10000. Such zooms might make one gasp and say 'WOW' but at the end they all tend to look pretty much the same, admit it or not. Today's FOTX, (The 'X' means I have not yet decided how often the FOT... will appear.), is a scene at a depth of a very modest 0.1 -- a Julia set of a point on the negative X-axis of the Z^4.01+C Mandeloid. In this case, the extra 0.01 in the exponent makes all the difference. While pondering fractals over the past few months, I have also been pondering the old philosophical warhorse, the nature of reality. So far I have come to little in the way of an answer. In fact, I'm not even sure what the question is about. All I'm reasonably sure of is that I (whatever 'I' might be) am having a conscious experience. Whether the stuff around me commonly called material is real or not, it certainly does appear to be there. And if it is an illusion, does this mean nothing at all is there, or does it mean I am perceiving what is really there in a way that does not totally correspond to the true reality. Be this as it may, the FOTX web site should be up and running again in a few days. Today was partly cloudy with a temperature of 68F 20C and a few insignificant showers here at Fractal Central. The fractal cats spent most of their time doing what cats do best -- sleeping. Nicholas chose my favorite chair just after noon and lounged in it all afternoon. Between showers, FL did a little work in her garden, where the columbines are near their peak. Until next time, take care, and if the theory of the Quantum had not been discovered, I might have run out of things to ponder after all this time. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Surreal_Fantasy { ; time=0:01:59.13 SF5 at 200MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=SliceJulibrot4 passes=1 center-mag=0.0514205/0/0.1 periodicity=0 params=90/0/90/0/-1.64788477144322/0/0/0/-4.01/0 float=y maxiter=3200 inside=0 symmetry=xaxis colors=000zz0B8E96B748435212_N8UJ6OF5IB4C72631ZG6T\ D5NA4H83B52521NHpIDeDAV96L43ASF2W7tT6oRczP5gM5cK4_\ I4WG3SD3OB2K92G61C418204CrzA`m9Xh8Tc7QZ6MU5IP4EK3B\ F27A135X8BS79O68K56G45C34822411KpkHieFb_CXUAQO7JI5\ DC266acRXXNS_KNUGJODEIA9C6463DaKAUG7MC5F8274aRFXOD\ TLBPIALF8GC6C95m00wwKczzzUz`3VS2NI1F907Pj8Nf7Lb6J_\ 6WWzfAKDP4BL39I37E25A1371130gSlcPg_McWKZSHVOFQKCMG\ AHC7D858000AUz8Qm7Qd6MX5HR4DM3AG26B135K35I24H24G24\ E23D23C13A12912812611501401200100sBInAGi9Fe8D`7CW6\ AS59N47I36E24913401kRc_KUODKC6AwGcqE_lDWfBTaAPW8LR\ 7IL5EG4AA27513XeCT`APW9MS8SsCWsCasBisBosczzmzzzzdR\ zQftCvsLcwc0qIcqRXqMRqOLqQEqS8qT2oV8nXEmZJl`PjbVid\ _hfeghkfjpcdn`_mYUkVPjSJhPEgM8eK3dG2Y9D4D2RA1K61D3\ 06cz7Ei5AY47N23B1pDXlCUiBSfAQb9O_8MX8KT7IQ6GN5EJ4C\ G4AD38926614302GL1EJ0DI0CG0BF0AE09C08B0000zzz57045\ 0340220110QIWNGTLEQIDNGBK } frm:SliceJulibrot4 {; draws all slices of Julibrot pix=pixel, u=real(pix), v=imag(pix), a=pi*real(p1*0.0055555555555556), b=pi*imag(p1*0.0055555555555556), g=pi*real(p2*0.0055555555555556), d=pi*imag(p2*0.0055555555555556), ca=cos(a), cb=cos(b), sb=sin(b), cg=cos(g), sg=sin(g), cd=cos(d), sd=sin(d), p=u*cg*cd-v*(ca*sb*sg*cd+ca*cb*sd), q=u*cg*sd+v*(ca*cb*cd-ca*sb*sg*sd), r=u*sg+v*ca*sb*cg, s=v*sin(a), esc=imag(p5)+9 c=p+flip(q)+p3, z=r+flip(s)+p4: z=z^(real(p5))+c |z|< esc } END PARAMETER FILE========================================= _______________________________________________ Fractint mailing list Fractint(a)mailman.xmission.com https://mailman.xmission.com/cgi-bin/mailman/listinfo/fractint --- This email has been checked for viruses by Avast antivirus software. https://www.avast.com/antivirus

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FOTX -- May 14, 2016
by Jim Muth 14 May '16

14 May '16

FOTX -- May 14, 2016 (Rating A-9,M-7) Fractal visionaries and enthusiasts: As today's unusually fast image shows, I am getting back into my old routine of finding rather attractive fractal patterns. I might not yet be in overdrive, but I am running in second gear at least. And do not expect one of those apocalyptic zooms to a ridiculous magnitude of something like 10^10000. Such zooms might make one gasp and say 'WOW' but at the end they all tend to look pretty much the same, admit it or not. Today's FOTX, (The 'X' means I have not yet decided how often the FOT... will appear.), is a scene at a depth of a very modest 0.1 -- a Julia set of a point on the negative X-axis of the Z^4.01+C Mandeloid. In this case, the extra 0.01 in the exponent makes all the difference. While pondering fractals over the past few months, I have also been pondering the old philosophical warhorse, the nature of reality. So far I have come to little in the way of an answer. In fact, I'm not even sure what the question is about. All I'm reasonably sure of is that I (whatever 'I' might be) am having a conscious experience. Whether the stuff around me commonly called material is real or not, it certainly does appear to be there. And if it is an illusion, does this mean nothing at all is there, or does it mean I am perceiving what is really there in a way that does not totally correspond to the true reality. Be this as it may, the FOTX web site should be up and running again in a few days. Today was partly cloudy with a temperature of 68F 20C and a few insignificant showers here at Fractal Central. The fractal cats spent most of their time doing what cats do best -- sleeping. Nicholas chose my favorite chair just after noon and lounged in it all afternoon. Between showers, FL did a little work in her garden, where the columbines are near their peak. Until next time, take care, and if the theory of the Quantum had not been discovered, I might have run out of things to ponder after all this time. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Surreal_Fantasy { ; time=0:01:59.13 SF5 at 200MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=SliceJulibrot4 passes=1 center-mag=0.0514205/0/0.1 periodicity=0 params=90/0/90/0/-1.64788477144322/0/0/0/-4.01/0 float=y maxiter=3200 inside=0 symmetry=xaxis colors=000zz0B8E96B748435212_N8UJ6OF5IB4C72631ZG6T\ D5NA4H83B52521NHpIDeDAV96L43ASF2W7tT6oRczP5gM5cK4_\ I4WG3SD3OB2K92G61C418204CrzA`m9Xh8Tc7QZ6MU5IP4EK3B\ F27A135X8BS79O68K56G45C34822411KpkHieFb_CXUAQO7JI5\ DC266acRXXNS_KNUGJODEIA9C6463DaKAUG7MC5F8274aRFXOD\ TLBPIALF8GC6C95m00wwKczzzUz`3VS2NI1F907Pj8Nf7Lb6J_\ 6WWzfAKDP4BL39I37E25A1371130gSlcPg_McWKZSHVOFQKCMG\ AHC7D858000AUz8Qm7Qd6MX5HR4DM3AG26B135K35I24H24G24\ E23D23C13A12912812611501401200100sBInAGi9Fe8D`7CW6\ AS59N47I36E24913401kRc_KUODKC6AwGcqE_lDWfBTaAPW8LR\ 7IL5EG4AA27513XeCT`APW9MS8SsCWsCasBisBosczzmzzzzdR\ zQftCvsLcwc0qIcqRXqMRqOLqQEqS8qT2oV8nXEmZJl`PjbVid\ _hfeghkfjpcdn`_mYUkVPjSJhPEgM8eK3dG2Y9D4D2RA1K61D3\ 06cz7Ei5AY47N23B1pDXlCUiBSfAQb9O_8MX8KT7IQ6GN5EJ4C\ G4AD38926614302GL1EJ0DI0CG0BF0AE09C08B0000zzz57045\ 0340220110QIWNGTLEQIDNGBK } frm:SliceJulibrot4 {; draws all slices of Julibrot pix=pixel, u=real(pix), v=imag(pix), a=pi*real(p1*0.0055555555555556), b=pi*imag(p1*0.0055555555555556), g=pi*real(p2*0.0055555555555556), d=pi*imag(p2*0.0055555555555556), ca=cos(a), cb=cos(b), sb=sin(b), cg=cos(g), sg=sin(g), cd=cos(d), sd=sin(d), p=u*cg*cd-v*(ca*sb*sg*cd+ca*cb*sd), q=u*cg*sd+v*(ca*cb*cd-ca*sb*sg*sd), r=u*sg+v*ca*sb*cg, s=v*sin(a), esc=imag(p5)+9 c=p+flip(q)+p3, z=r+flip(s)+p4: z=z^(real(p5))+c |z|< esc } END PARAMETER FILE=========================================

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FOTX -- May, 14, 2016
by Jim Muth 14 May '16

14 May '16

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Re: [Fractint] FOTX -- May 11; <Alex>, <Jim>, <Mike>
by Harold Lane 14 May '16

14 May '16

Alex, > What wonderful detail! Thanks, Harold, for rendering it so nicely. I render Jim's fractals at ~4X their final size so I can properly anti-alias them to their final, smaller size, so you're seeing the effects of sub-pixels in the final image -- which can't be a .GIF because it has more colors than a .GIF can represent. Jim, Thanks for the great, new "parent" fractals to investigate! ----- Alex said: ---------------- > Check out Fracton. Fractint compatible, for Mac, by one of our > list members. :) > http://www.fracton.org/ Fracton, which has some additional capabilities beyond Fractint's, is written by Mike Frazier. Mike likes to render his fractals at 5X their final size before anti-aliasing, so his final images include more sub-pixel information than mine. If I recall correctly, he's built anti-aliasing into Fracton as an option to apply to its images. Thanks again for not letting your browser re-sample our images (by re-sizing them) -- to preserve the quality of our images... Mike, Whenever you can, send the [Fractint] list serve a Fracton-generated image, please. Thanks! - Hal Lane ######################## # hallane(a)earthlink.net ######################## -----Original Message----- From: Fractint [mailto:fractint-bounces@mailman.xmission.com] On Behalf Of david Sent: Saturday, May 14, 2016 2:33 AM To: Fractint and General Fractals Discussion <fractint(a)mailman.xmission.com> Subject: Re: [Fractint] FOTX -- May 11 What wonderful detail! Thanks, Harold, for rendering it so nicely. Man, Jim, even rusty you're way beyond anything I ever did when it comes to making images. On 05/11/2016 09:10 PM, Harold Lane wrote: > Here's Jim's image: > Click each image once to guarantee it's not resampled by the browser. > http://www.emarketingiseasy.com/TESTS/FOTD/2016/F160511.jpg > > And my investigations / variations, > > Parent fractal: > http://www.emarketingiseasy.com/TESTS/FOTD/2016/F160511Z.jpg > http://www.emarketingiseasy.com/TESTS/FOTD/2016/F160511Y.jpg > > Investigations: > http://www.emarketingiseasy.com/TESTS/FOTD/2016/F160511X.jpg > http://www.emarketingiseasy.com/TESTS/FOTD/2016/F160511W.jpg > http://www.emarketingiseasy.com/TESTS/FOTD/2016/F160511V.jpg > http://www.emarketingiseasy.com/TESTS/FOTD/2016/F160511U.jpg > > There's a slight curve at the tip of the M-set: > http://www.emarketingiseasy.com/TESTS/FOTD/2016/F160511T.jpg > > I made a typo of the month in the last set of Jim's images. I'll > correct the files' names when I put them on a web page. > > - Hal Lane > > ######################## > # hallane(a)earthlink.net > ######################## > > -----Original Message----- > From: Fractint [mailto:fractint-bounces@mailman.xmission.com] On > Behalf Of Jim Muth > Sent: Wednesday, May 11, 2016 4:37 PM > To: fractint(a)mailman.xmission.com > Subject: [Fractint] FOTX -- May 11 > > > FOTX0511 -- On_the_Half_Shell (Rating A-4,M-4) > > Fractal visionaries and enthusiasts: > > Today's minor effort is worth at least a quick look, though it will > not set any records for beauty. It is a minibrot that lies on a > tendril extending from a bud of the parent fractal that results when > 1.6 parts of Z^-1.9 are combined with 0.2 parts of Z^-9.1. The > shell-like effect that inspired the name was achieved by rendering the image with the outside set to 'tdis' > > The good news is that my fingers really do remember the Fractint > keystrokes, I just cannot think of the strokes when I consciously try > to recall them, making frequent diversions to the help index > necessary. I am also a bit rusty on finding minibrots and other good > fractal scenes. A year ago, these fractal things were turning up > almost automatically. Today, I needed to take time to try to guess > where the scenic areas of the parent fractal might lie, if any might exist. My success was questionable. > > Maybe I have become too involved in the debate over the meaning of > quantum theory. The math of quantum theory is not in question, it > works great. The problem is that the quantum world appears to consist > of only the math that defines it. Things like electrons and photons > can be seen as tiny balls, spread out waves, neither or both. In all cases the same math applies. > The problem arises when the math is squeezed into our very limited, > common sense idea of a world of 3-D space filled with real objects, > which raises the measurement problem. > > The measurement problem arises because the real world is made of > sub-atomic particles, and the sub-atomic particles consist of numbers. > The means that the real world is basically made of numbers, and > numbers are pure abstractions, with no material reality at all. The > problem is that no one can show with certainty how abstract numbers > can create real physical material. Perhaps the greatest embarrassment > of science is that even after > 90 years of pondering, this problem is still unresolved. > > Considering all this, it seems to me as if the real world might be > much like a computer video game, where the fantasy world of the game > exists only as program information until it is displayed on the > screen, observed, and thereby made real. But if this is taken to be > true, it will make no difference in everyday life, since everything we > have always considered real will still appear and behave the same. > > But rational materialists are quite upset by this. Maybe their > concern is that their philosphical world view is being threatened. > Quantum theory seems to be drifting toward mysticism, which is the > antithesis of rational science and says that the material world is an > illusion. In an effort to show how silly such views are, rationalists > refer to such views, which are very common among new-agers, as > 'Quantum Woo'. At the same time, Atheists are annoyed by quantum > theory because it can easily be misused as an argument for the existence of God. > > This debate is quite understandable. After all, everyone needs > a solid foundation on which to base their life's philosophical > standpoint, be it the white bearded old man in the sky of religion or > the rock solid reality of the material universe on which science is based. > > But fractals can be enjoyed by everyone, whether the images are real > or not, or whether God exists or not, and the real world can likewise > be enjoyed by everyone, even if it turns out to be no more real than > fractals and if God is actually proved to exist. > > There are problems with the FOTD web sites, so I'll not post any web > addresses until the problems are resolved. > > Today was cloudy and dreary but dry here at Fractal Central, with a > temperature of 63F 17C. The fractal cats spent most of the day > worrying about the feral tomcats that are again becoming more numerous > around the area. And to make things worse, we think there could be > kittens under the fractal back porch. FL is also rather down because > the cool wet weather is causing her garden to lag. The next FOT... will be posted whenever it is. > Until whenever, take care, and I'm either a believer or an Atheist, > depending on how God is described. > > > Jim Muth > jimmuth(a)earthlink.net > > > START PARAMETER FILE======================================= > > On_the_Half_Shell { ; time=0:10:21.26 SF5 at 200MHZ > reset=2004 type=formula formulafile=basicer.frm > formulaname=MandAutoCritInZ function=recip passes=1 > center-mag=+1.552148830053915/+0.2525932592080373/\ > 3.38727e+007/1/-70.0000276875551748/2.252300646\ > 62476637e-005 params=1.6/-1.9/0.2/-9.1/0/0/0/0 > float=y maxiter=1500 inside=0 outside=tdis > periodicity=6 sound=off > colors=000wNexLexJeyHezFezDexEdwEdvFdtFdsGdrGdqHdo\ > HcnIcmIclIcjJciJchKcfKbeLbdLbcMbaMb`Nb_NbZNbTQeOSg\ > JUiDWk8Ym3_o7ZkBYgFYdJX`NWXRWUVVQYVNDMYAQf7To4WxIQ\ > tVLqgGnXOjMWfCccUmlWmiXmfYmdZma`mZamXbmUcmSemPfmMg\ > mKhmHjmEkmClm9mm7nk8nj8oi8oh9pf9pe9qd9qcAqbAr`Ar_B\ > sZBsYBzpBwlCugCsaCvWCsQBqKBoHBmDBkABi6Bg3Bf5Ae79d9\ > 9cB8bD7aF7`H6`J6_L5ZN4YP4XR3WT2VV2UX15KT3LV2cW4cX6\ > cY8cZAc_Cc`EcaGcbHczHfzmzzmzzmzzmzzmzzmzzDtfCsdBrb\ > Bq`ApY9oW8nU8mS7lP6kN5jL5iJ8gL_c7bZEeULhQSkLZnGeqC\ > krEbsGUtIMuKDvM5FT`eKIQIUDvxCmtBepBXlAPhZQDSNLMLSG\ > JZir7ajEVbLOWSHOZXT40V12T73RC4PH5OM7MR8KW9I`aF8YGD\ > VGHRGLOGPKHUHHYDHaa1CW5IQ8OLBUFE_2kD4cL6WS8OZRHhLH\ > gFHfF47E7EDALCCSBFZnMkUJhEBzDCwCDtCEqBFnBGkAHhEelC\ > ThYyKSmQMbVGS`YzEuTVoRXiQYcO_YN`SLaMKcGIdzd2r`8jYE\ > cUKWRPPNVHK`Yx1is`S_csXOmVRgTTaRVXPXRN_LLaFJcyENlF\ > S_GXNHaDRTCPVCOXBMZBL`AJb } > > frm:MandAutoCritInZ {; Jim Muth > a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=1/f, h=1/d, > j=1/(f-b), z=(((-a*b*g*h)^j)+(p4)), k=real(p3)+1, esc=imag(p3)+100, c=fn1(pixel): > z=k*((a*(z^b))+(d*(z^f)))+c, > |z| < esc } > > END PARAMETER FILE========================================= -- David W. Jones gnome(a)hawaii.rr.com authenticity, honesty, community http://dancingtreefrog.com _______________________________________________ Fractint mailing list Fractint(a)mailman.xmission.com https://mailman.xmission.com/cgi-bin/mailman/listinfo/fractint --- This email has been checked for viruses by Avast antivirus software. https://www.avast.com/antivirus

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FOTX -- May 11
by Jim Muth 14 May '16

14 May '16

FOTX0511 -- On_the_Half_Shell (Rating A-4,M-4) Fractal visionaries and enthusiasts: Today's minor effort is worth at least a quick look, though it will not set any records for beauty. It is a minibrot that lies on a tendril extending from a bud of the parent fractal that results when 1.6 parts of Z^-1.9 are combined with 0.2 parts of Z^-9.1. The shell-like effect that inspired the name was achieved by rendering the image with the outside set to 'tdis' The good news is that my fingers really do remember the Fractint keystrokes, I just cannot think of the strokes when I consciously try to recall them, making frequent diversions to the help index necessary. I am also a bit rusty on finding minibrots and other good fractal scenes. A year ago, these fractal things were turning up almost automatically. Today, I needed to take time to try to guess where the scenic areas of the parent fractal might lie, if any might exist. My success was questionable. Maybe I have become too involved in the debate over the meaning of quantum theory. The math of quantum theory is not in question, it works great. The problem is that the quantum world appears to consist of only the math that defines it. Things like electrons and photons can be seen as tiny balls, spread out waves, neither or both. In all cases the same math applies. The problem arises when the math is squeezed into our very limited, common sense idea of a world of 3-D space filled with real objects, which raises the measurement problem. The measurement problem arises because the real world is made of sub-atomic particles, and the sub-atomic particles consist of numbers. The means that the real world is basically made of numbers, and numbers are pure abstractions, with no material reality at all. The problem is that no one can show with certainty how abstract numbers can create real physical material. Perhaps the greatest embarrassment of science is that even after 90 years of pondering, this problem is still unresolved. Considering all this, it seems to me as if the real world might be much like a computer video game, where the fantasy world of the game exists only as program information until it is displayed on the screen, observed, and thereby made real. But if this is taken to be true, it will make no difference in everyday life, since everything we have always considered real will still appear and behave the same. But rational materialists are quite upset by this. Maybe their concern is that their philosphical world view is being threatened. Quantum theory seems to be drifting toward mysticism, which is the antithesis of rational science and says that the material world is an illusion. In an effort to show how silly such views are, rationalists refer to such views, which are very common among new-agers, as 'Quantum Woo'. At the same time, Atheists are annoyed by quantum theory because it can easily be misused as an argument for the existence of God. This debate is quite understandable. After all, everyone needs a solid foundation on which to base their life's philosophical standpoint, be it the white bearded old man in the sky of religion or the rock solid reality of the material universe on which science is based. But fractals can be enjoyed by everyone, whether the images are real or not, or whether God exists or not, and the real world can likewise be enjoyed by everyone, even if it turns out to be no more real than fractals and if God is actually proved to exist. There are problems with the FOTD web sites, so I'll not post any web addresses until the problems are resolved. Today was cloudy and dreary but dry here at Fractal Central, with a temperature of 63F 17C. The fractal cats spent most of the day worrying about the feral tomcats that are again becoming more numerous around the area. And to make things worse, we think there could be kittens under the fractal back porch. FL is also rather down because the cool wet weather is causing her garden to lag. The next FOT... will be posted whenever it is. Until whenever, take care, and I'm either a believer or an Atheist, depending on how God is described. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= On_the_Half_Shell { ; time=0:10:21.26 SF5 at 200MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=MandAutoCritInZ function=recip passes=1 center-mag=+1.552148830053915/+0.2525932592080373/\ 3.38727e+007/1/-70.0000276875551748/2.252300646\ 62476637e-005 params=1.6/-1.9/0.2/-9.1/0/0/0/0 float=y maxiter=1500 inside=0 outside=tdis periodicity=6 sound=off colors=000wNexLexJeyHezFezDexEdwEdvFdtFdsGdrGdqHdo\ HcnIcmIclIcjJciJchKcfKbeLbdLbcMbaMb`Nb_NbZNbTQeOSg\ JUiDWk8Ym3_o7ZkBYgFYdJX`NWXRWUVVQYVNDMYAQf7To4WxIQ\ tVLqgGnXOjMWfCccUmlWmiXmfYmdZma`mZamXbmUcmSemPfmMg\ mKhmHjmEkmClm9mm7nk8nj8oi8oh9pf9pe9qd9qcAqbAr`Ar_B\ sZBsYBzpBwlCugCsaCvWCsQBqKBoHBmDBkABi6Bg3Bf5Ae79d9\ 9cB8bD7aF7`H6`J6_L5ZN4YP4XR3WT2VV2UX15KT3LV2cW4cX6\ cY8cZAc_Cc`EcaGcbHczHfzmzzmzzmzzmzzmzzmzzDtfCsdBrb\ Bq`ApY9oW8nU8mS7lP6kN5jL5iJ8gL_c7bZEeULhQSkLZnGeqC\ krEbsGUtIMuKDvM5FT`eKIQIUDvxCmtBepBXlAPhZQDSNLMLSG\ JZir7ajEVbLOWSHOZXT40V12T73RC4PH5OM7MR8KW9I`aF8YGD\ VGHRGLOGPKHUHHYDHaa1CW5IQ8OLBUFE_2kD4cL6WS8OZRHhLH\ gFHfF47E7EDALCCSBFZnMkUJhEBzDCwCDtCEqBFnBGkAHhEelC\ ThYyKSmQMbVGS`YzEuTVoRXiQYcO_YN`SLaMKcGIdzd2r`8jYE\ cUKWRPPNVHK`Yx1is`S_csXOmVRgTTaRVXPXRN_LLaFJcyENlF\ S_GXNHaDRTCPVCOXBMZBL`AJb } frm:MandAutoCritInZ {; Jim Muth a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=1/f, h=1/d, j=1/(f-b), z=(((-a*b*g*h)^j)+(p4)), k=real(p3)+1, esc=imag(p3)+100, c=fn1(pixel): z=k*((a*(z^b))+(d*(z^f)))+c, |z| < esc } END PARAMETER FILE=========================================

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FOT? test May 09, 2016
by Jim Muth 11 May '16

11 May '16

FOTD -- May 05, 2016 (Rating A-4,M-4) Fractal visionaries and enthusiasts: Today's image is a test I am doing to again become familiar with the key strokes of the DOS version of Fractint, which were near automatic for many years. The image has little artistic or math worth other than the fact that all fractals are unique. Actually, the key strokes are coming back to me faster when I let my fingers go their own way rather than trying to consciously recall them. The image might soon be posted to the FOTD web site at: <http://www.crosscanpuzzles.com/Archives.html> It might also soon be posted to other web sites if anyone cares to make an effort. Unfortunately, Paul Lee, who hosted the FOTD web site for so many years, is no longer with us. It was rather pleasant here at Fractal Central today, with morning sun giving way to afternoon clouds and a temperature of 70F 21C. The three fractal cats, Nicholas the black 13-year old guy, Jasmine the black 3-year old somewhat overweight gal, and Lida, the 2-year-old frisky lady tabby cat, are doing quite well, though the lovelorn local tomcats prowling the area are keeping all the fractal cats dashing from window to window. During my absence, I have produced about 75 pencil drawings in my own unique semi-surrealist style, mostly of imaginary scenes on distant planets. I also delved briefly into politics and conspiracy theories, but found most but not all of them too crazy to take seriously. My greatest distraction has been into meanings of the latest experiments in field of quantum theory, where I found rational materialistic skeptics, atheists, etc. almost going bonkers trying to defend the reality of the real physical world against the claims of many new-agers and even some quantum scientists that the real world is only some kind of matrix-like illusion. Such skeptical passion, mixed with typical skeptic ad-hominen attacks, must be based on something very serious and philosophically very important. (It must be that old quantum bugaboo, the measurement problem.) I have also not forgotten the fourth dimension. I must not yet have had enough trouble trying to visualize the 4-D cube, since I am now trying to visualize a 4-D object called the Clifford Torus, which is a 2-D curved surface lying in/on the curved 3-D surface-space of the 4-D hypersphere. This strange thing, which divides the 4-D hypersphere into polar and equatorial halves, is a kind of torus in which the inside is also the outside, the latitude lines are also the longitude lines, and the geometry is flat euclidian. More on all of this later. Until next time, take care, and the best is yet to come. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= test_May_09 { ; time=0:02:15.78 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=MandAutoCritInZ function=recip center-mag=-2.86815363588570100/-0.121925302918596\ 10/133814.7/1/-120.000000184084314/7.8644456440180\ 0328e-008 params=4.4/-1.4/1.4/-4.4/0/0/0/0 float=y maxiter=750 inside=0 logmap=37 symmetry=none periodicity=6 mathtolerance=0.05/1 colors=000A32432C4AJ5HQ6OX6Vd7bk8ir9py9wqEujJtbOsW\ TqOYpHaoJ`nK_mLZlMZkNYjOXiPXhXendmtluyqhwvWvzJutKa\ nLIYHMHEK10A30A40A60A75A95AA5AC4AD3ADLBDaADr9FlDGf\ GI`KJVNLPQMJUODXP7_UPXYeUavSkqeulrugkuceu__uWUuSOq\ ZJmeFjlBhnFgpIfrMesPcuSbwWayZ`zamuhzqnmmc`iUPeKSYJ\ UQJWJJZIO`IScHWeH_gGcjGglFknFoqXdsmUnXXfSZZN`RIaJD\ cC9dILgNWjSflQ_nOToMMpHThDZ`9eT5kL1qD2lH2gK2cNDeSN\ fXXh`fiepji_kTJkCPfBVaA_YAgRXoKrjOmeSi`WeW_aRcYNgU\ fE2S4dpNiP1CN4AM68L87JB5ID3HF29W82kE9mJFoNMqRSsVZu\ Zdvb_t_VsYQqVLpTGnQBmO6kL2jJgxkknjneirWhuNgxEf7X38\ a88fC8kH8pL8tPAoUBjYCebDafJbhPciVdk`elffmlgorhpxhq\ 7QO6VJ5_F4dB3i72n3anzegohaekWWgbYdi_`paYwbZrcZndZi\ e_ef_`g_XhOfcCpZ1yUArSIkQReOZZMgTKoMIwGH4xIEmNOcRY\ UWgK_qAcrFasK_tPYtTWuYUvbSwgQwkPvgQvdQu`RuYRtUStRS\ tOSmMRfKQ_IQTHPMFPFDO9COAERAFUAGWBIZBJaBKcJJ`QJZXJ\ XdIVkITrIRyIPcWfT45N44G33 } frm:MandAutoCritInZ {; Jim Muth a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=1/f, h=1/d, j=1/(f-b), z=(((-a*b*g*h)^j)+(p4)), k=real(p3)+1, esc=imag(p3)+100, c=fn1(pixel): z=k*((a*(z^b))+(d*(z^f)))+c, |z| < esc } END PARAMETER FILE=========================================

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Re: [Fractint] FOT? test May 09, 2016
by Brian Prentice 10 May '16

10 May '16

A monochrome detail using Jim’s formula: http://bprentice.webenet.net/Fractal%20Images/Set%2019/BP_19_01.png Brian Prentice

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Greetings from Fractal Central
by Jim Muth 06 May '16

06 May '16

Fractal fans: Greetings again from Fractal Central. It's been over a year since I did any serious fractal searching, and in that time I have grown a bit rusty in using the old standard classic DOS version of Fractint. I now need to sit down and actually take the time to remember the key strokes that were almost automatic, such as coloring, zooming and saving parameter files etc. But I'm sure that with a little practice, it will all come back to me. The DOS version of Fractint has worked well for over 25 years, so I'm not going to trash it, at least not yet. And I'm still searching for fractals on the tired 18-year-old DOS machine, which for a reason known only to itself, will not lie down and call it quits. During the past year, I have been doing much thinking about the philosophical side of fractals, asking myself questions such as 'What are fractals made of?' and 'If they are made of nothing, are they actually real?' In many ways, such questions remind me of the questions I wondered about long ago, when I searched so many books trying to find what subatomic particles actually are. The answer I eventually settled on is that the entire quantum realm with all its particles is nothing more than the abstract mathematical formulas and expressions that define it. All images picturing quantum things as tiny particles, or spread out waves, or neither, or both at the same time, are mere ideas in the human mind that were inspired by the math. They are as real as one considers them to be. And the same is true of fractals. I can now say that I have answered, at least to my satisfaction, the question of what fractals actually are. They are the math that defines them. The sounds and images we are familiar with are emergent epiphenomena of the activity of computer circuitry. I'll end this letter now, but I have only begun to reach into the depths where fractals have led me over the past year, involving science, philosophy and even religion. The actual fractals will resume before long. JIM M.

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Re: [Fractint] test from Jim Muth
by James R McKenzie 05 May '16

05 May '16

Welcome back man you've been sorely missed. -----Original Message----- >From: Jim Muth <jimmuth(a)earthlink.net> >Sent: May 5, 2016 1:45 PM >To: fractint(a)mailman.xmission.com >Subject: [Fractint] test from Jim Muth > >Fractal fans: > >Paul's demise kind of took the wind out of my fractal sails, >and I have been especially down because I was off the list >at the time. But now I'm back, maybe with not so many >fractals, but with a lot to say. If the list is still up >and running, you'll be hearing from me quite often in the >near furure, especially in the field of fractal philosophy. > >Now we'll see if this e-mail returns to me. > >Jim Muth > > >_______________________________________________ >Fractint mailing list >Fractint(a)mailman.xmission.com >https://mailman.xmission.com/cgi-bin/mailman/listinfo/fractint

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Re: [Fractint] Ancient LnDio frm edit
by Harold Lane 14 Apr '16

14 Apr '16

Sciwise, Did you intend to insert a parameter list and updated formula file in your email/post (below?) I'd like to try your corrected version. I'm guessing your subject line: "LnDio" is "Linear Diode" -- right? <== <== - Hal Lane ######################## # hallane(a)earthlink.net ######################## -----Original Message----- From: Fractint [mailto:fractint-bounces@mailman.xmission.com] On Behalf Of sciwise(a)ihug.co.nz Sent: Thursday, April 14, 2016 3:26 AM To: Fractint and General Fractals Discussion <fractint(a)mailman.xmission.com> Subject: [Fractint] Ancient LnDio frm edit I'm no longer certain how this mistake crept into the code ; previously the variable u was being assigned a different value every time an iteration was completed. This is a more correct version ; doesn't , at the moment, produce such an interesting fractal ; however the results are now more accurate than previously. I do however have a question . The formula for Newton's Method is: x Pd } comment { The floating point option needs to be selected , 512 iterations , or more , should be selected . Also a logarithmic palette . Minibrot structures aren't immediately apparent at the default parameter settings . A parameter setting of : xmin - 0.005770310598 xmax - 0.005666943901 ymin 0.000516417395 ymax 0.000594104392 shows embedded mimibrots and spirals , wether this is relevant in a real diode is unknown . You might be able to locate mimibrots elsewhere on the map . } ========END PARAMETER FILE================== _______________________________________________ Fractint mailing list Fractint(a)mailman.xmission.com https://mailman.xmission.com/cgi-bin/mailman/listinfo/fractint --- This email has been checked for viruses by Avast antivirus software. https://www.avast.com/antivirus

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Ancient LnDio frm edit
by sciwise＠ihug.co.nz 14 Apr '16

14 Apr '16

I'm no longer certain how this mistake crept into the code ; previously the variable u was being assigned a different value every time an iteration was completed. This is a more correct version ; doesn't , at the moment, produce such an interesting fractal ; however the results are now more accurate than previously. I do however have a question . The formula for Newton's Method is: x Pd } comment { The floating point option needs to be selected , 512 iterations , or more , should be selected . Also a logarithmic palette . Minibrot structures aren't immediately apparent at the default parameter settings . A parameter setting of : xmin - 0.005770310598 xmax - 0.005666943901 ymin 0.000516417395 ymax 0.000594104392 shows embedded mimibrots and spirals , wether this is relevant in a real diode is unknown . You might be able to locate mimibrots elsewhere on the map . } ========END PARAMETER FILE==================

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Tangling Tendrils
by Mike Frazier 29 Mar '16

29 Mar '16

Here is an animation of a fractal I found back in 2012. The fractal mixes z * (cosh(z) - 1) and z * z * sinh(z) at locations -1 and +1. Varying the locations of the two components causes the tendril arms to be more or less curled. The animation moves the locations by changing the parameters p3 and p4 from -1.1 to -0.8 and +1.1 to +0.8. Moving the component locations also causes the center of the desired area to move so the animation moves the fractal center to follow that as well. To keep the render time reasonable I made the movie only 5 seconds long (61 frames). It still took 1.5 hours to render. Here is a link to the movie (2.5 MB): http://dl.dropboxusercontent.com/u/33642054/image/pr_3cosh-3sinh_F.mov Here is a link to an image at about the 1/3 point of the movie at locations -1 and +1: http://dl.dropboxusercontent.com/u/33642054/image/pr_3cosh-3sinh_F_640_5.jpg The FractInt compatible PAR file for the image is: TanglingTendrils { ; Exported from Fracton. reset=2004 type=formula formulafile=fracton.frm formulaname=F_20160309_1314 passes=1 float=y center-mag=0.008301665151149345/0.1582340776519129\ /566.2672882912181/1/0/0 params=-1/-1/0/4/-1/0/1/0/0/0 maxiter=2000 inside=0 periodicity=6 colors=000C10O40ZA0hI0oS0ua0ym0zy0ym0ua0oS0hI0ZA0O\ 40C10000C10O40ZA0hI0oS0ua0ym0zy0ym0ua0oS0hI0ZA0O40\ C10000C10O40ZA0hI0oS0ua0ym0zy0ym0ua0oS0hI0ZA0O40C1\ 0000C10O40ZA0hI0oS0ua0ym0zy0ym0ua0oS0hI0ZA0O40C100\ 00C10O40ZA0hI0oS0ua0ym0zy0ym0ua0oS0hI0ZA0O40C10000\ C10O40ZA0hI0oS0ua0ym0zy0ym0ua0oS0hI0ZA0O40C10000C1\ 0O40ZA0hI0oS0ua0ym0zy0ym0ua0oS0hI0ZA0O40C10000C10O\ 40ZA0hI0oS0ua0ym0zy0ym0ua0oS0hI0ZA0O40C10000C10O40\ ZA0hI0oS0ua0ym0zy0ym0ua0oS0hI0ZA0O40C10000C10O40ZA\ 0hI0oS0ua0ym0zy0ym0ua0oS0hI0ZA0O40C10000C10O40ZA0h\ I0oS0ua0ym0zy0ym0ua0oS0hI0ZA0O40C10000C10O40ZA0hI0\ oS0ua0ym0zy0ym0ua0oS0hI0ZA0O40C10000C10O40ZA0hI0oS\ 0ua0ym0zy0ym0ua0oS0hI0ZA0O40C10000C10O40ZA0hI0oS0u\ a0ym0zy0ym0ua0oS0hI0ZA0O40C10000C10O40ZA0hI0oS0ua0\ ym0zy0ym0ua0oS0hI0ZA0O40C10000C10O40ZA0hI0oS0ua0ym\ 0zy0ym0ua0oS0hI0ZA0O40C10 } frm:F_20160309_1314 { ; Similar to the parallel resistance formula a=real(p1),b=real(p2),d=imag(p1),f=imag(p2), z=0,c1=pixel-p3,c2=pixel-p4: z=1/(1/(a*z*(cosh(z)-1)+c1)+1/(d*z*z*sinh(z)+c2)), |z|<100 } -- Mike Frazier www.fracton.org

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I have a Cubby link of Albrecht's that works -- and he has previously...
by Harold Lane 23 Mar '16

23 Mar '16

I have a Cubby link of Albrecht's that works -- and he has previously given me permission to host images of his on my server -- so, when I found a few interesting images of his that I hadn't seen before, I thought I'd make them available to anyone who would like to see them: Notes: The leading 2 digits & "_" were generated by Cubby cloud hosting service. Click image for full size, if needed... - Nebula 06_35187246.GIF http://www.emarketingiseasy.com/Albrecht/MFR_14_2/06_35187246.GIF - HYPNO 09_31587-08.GIF http://www.emarketingiseasy.com/Albrecht/MFR_14_2/09_31587-08.GIF - Vision 11_31587-33 http://www.emarketingiseasy.com/Albrecht/MFR_14_2/11_31587-33.GIF - Conjuration 12_31587-42 http://www.emarketingiseasy.com/Albrecht/MFR_14_2/12_31587-42.GIF - 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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FW: Please post [this animation] to the list - From JoTz
by Harold Lane 09 Mar '16

09 Mar '16

> Please post to the [Fractint] list. Sure. Very nice animation! I like to watch everything go by at 1/2 speed so I can see a little more of your detail before it's zoomed off the screen: For: Windows Media Player: Right click window frame > Enhancements > Play speed settings > slider: 0.5 The motion is still smooth enough to not appear as stepping between frames at this speed. At (0:47...) I like the "figure/ground" effect from the pale background glowing "behind" the fractal. I'm wondering how you found the central figure that appears at (1:00)... It initially seemed similar to other areas in the image -- but, what a difference! Stopping playback at (1:13) and (1:17) give very nice still images. Thanks, JoTz! - Hal Lane ######################## # mailto:hallane@earthlink.net ######################## From: LLOYD GARRICK [mailto:lgarr@colorado-hiking.net] Sent: Tuesday, March 8, 2016 9:42 PM To: Harold Lane <hallane(a)earthlink.net> Subject: Please post to the [Fractint] list I finally succeeded in animating one of the recent Mike Frazier "electronic" fractals; the pattern is very complex, rivaling Niekamp's works. Difficult to color however; I scanned over 400 MAP files in my collection, found only about 4 that were acceptable. Again, compressing the video would make it pointless, so I upload the hi-rez AVI file, 600MEG for 100 seconds. http://www.fractal-animation.net/special/DeepPurple800.zip Enjoy! JoTz ---- --- This email has been checked for viruses by Avast antivirus software. https://www.avast.com/antivirus

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Slow down
by sciwise＠ihug.co.nz 06 Mar '16

06 Mar '16

Quite a few of us have health concerns. Most likely you find that this interferes with a steady learning and creative endeavor. Why be informed and creative ; because this is how we overcome the limitations that have always been imposed upon us . For most persons the harsh reality of our situation is something that's just beyond our comprehension and many shy away from even contemplating this whilst others over indulge in contemplating their mortality. I'm in both categories. So my request to YOU , consider how fractint knowledge might be applied to solving some of these problems . Edward.

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Paul N. Lee
by John Wilson 06 Mar '16

06 Mar '16

Couldn't attend your wake today, Paul, but like many others, I remember you. John W.

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A Fractint box?
by John Wilson 01 Mar '16

01 Mar '16

If I were just a little younger and less shaky I'd be tempted to solve Jim's problem by— " Run DOS on the Raspberry Pi – Use rpix86 to turn your Pi into a 1980s supercomputer " . John W.

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I'm working on resuming the FOT????
by Jim Muth 26 Feb '16

26 Feb '16

Fractal fans: I'm still here and ready to resume my fractal adventures, but my 21-year-old DOS machine dedicated to Fractint is at the end of the road. I have two other working machines, both running Windows-XP, which probably for video incompatibility reasons will not run the DOS version of Fractint. Is there a version of Fractint that will run under XP and operate similar to the DOS version? If there is, I would appreciate the internet address. I'm sorry to hear about Paul Lee. Jim M.

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Fractal of the ? -- test
by Jim Muth 24 Feb '16

24 Feb '16

Fractal enthusiasts: This is a test to see if I am still subscribed to the list. I might be resurrecting the FOTD as the FOT? in the near future. Glad to see the list has not died in my absence. Jim M.

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Re: [Fractint] Information about Paul N. Lee
by Harold Lane 24 Feb '16

24 Feb '16

David, > Setting up mirrors would be something, if one's hosting > package has the space & bandwidth. Good idea, but, hopefully, a mirror site won't be necessary: I spoke with Paul's close friend John Starr, and he said that it was Paul's explicit wish to have his Fractal servers kept online. John is an executor of Paul's estate, but a minor legal holdup is slowing his work down. - Hal Lane ######################## # hallane(a)earthlink.net ######################## -----Original Message----- From: Fractint [mailto:fractint-bounces@mailman.xmission.com] On Behalf Of David Jones Sent: Sunday, February 21, 2016 5:07 PM To: Fractint and General Fractals Discussion <fractint(a)mailman.xmission.com> Subject: Re: [Fractint] <Ton> Thank you for the information about Paul N. Lee Setting up mirrors would be something, if one's hosting package has the space & bandwidth. David W. Jones gnome(a)hawaii.rr.com authenticity, honesty, community http://dancingtreefrog.comOn Feb 21, 2016 10:05, Harold Lane <hallane(a)earthlink.net> wrote: > > Ton, > Thank you for the information about Paul N. Lee's passing. His > knowledge, warmth and efforts on behalf of people working with > fractals will be sorely missed. > > I would gladly contribute towards keeping his servers containing > fractal resources running if I knew how to do so. I once talked with > a close friend of Paul's when he was ill some time ago, named John > Starr, and I'm trying to contact him now. > > - Hal Lane > > ######################## > # hallane(a)earthlink.net > ######################## > > > -----Original Message----- > From: Fractint [mailto:fractint-bounces@mailman.xmission.com] On > Behalf Of Ton Koppens > Sent: Sunday, February 21, 2016 11:02 AM > To: 'Fractint and General Fractals Discussion' > <fractint(a)mailman.xmission.com> > Subject: Re: [Fractint] Fractal of the ? -- test > > Hi Jim, > > Welcome back. > > We all grow older. > For those who don't know: Paul N. Lee is no longer with us. He has > left this world for a better one. (I hope). > > Met vriendelijke groet, > > Ton Koppens > Boogjes 90 > 331 VC Dordrecht > 078-6147867 > 06-36006633 > www.tonkoppens.nl > > -----Oorspronkelijk bericht----- > Van: Fractint [mailto:fractint-bounces@mailman.xmission.com] Namens > Jim Muth > Verzonden: zondag 21 februari 2016 16:32 > Aan: fractint(a)mailman.xmission.com > Onderwerp: [Fractint] Fractal of the ? -- test > > > Fractal enthusiasts: > > This is a test to see if I am still subscribed to the list. > > I might be resurrecting the FOTD as the FOT? in the near future. > > Glad to see the list has not died in my absence. > > Jim M. > > > _______________________________________________ > Fractint mailing list > Fractint(a)mailman.xmission.com > https://mailman.xmission.com/cgi-bin/mailman/listinfo/fractint > > > _______________________________________________ > Fractint mailing list > Fractint(a)mailman.xmission.com > https://mailman.xmission.com/cgi-bin/mailman/listinfo/fractint > > > --- > This email has been checked for viruses by Avast antivirus software. > https://www.avast.com/antivirus > > > _______________________________________________ > Fractint mailing list > Fractint(a)mailman.xmission.com > https://mailman.xmission.com/cgi-bin/mailman/listinfo/fractint _______________________________________________ Fractint mailing list Fractint(a)mailman.xmission.com https://mailman.xmission.com/cgi-bin/mailman/listinfo/fractint --- This email has been checked for viruses by Avast antivirus software. https://www.avast.com/antivirus

3 2

Interconnected
by Mike Frazier 23 Feb '16

23 Feb '16

This fractal mixes two copies of z * z * cos(z) * sin(z) at slightly different locations. I noticed that areas with spiral features also had a lot more arms so I searched the area until I found this fractal. It is very intricate and everything seems to be interconnected. Here is a link to an image: http://dl.dropboxusercontent.com/u/33642054/image/pr_3cossin-3cossin_H_1200… The FractInt compatible PAR file for the image is: Interconnected { ; Exported from Fracton. reset=2004 type=formula formulafile=fracton.frm formulaname=F_20160222_1054 passes=1 float=y center-mag=-0.7777678014027933/2.214634821764375e-\ 06/240717564052.7675/1/0/0 params=1/1/0/0/-1/0/1/0/0/0 maxiter=2000 inside=0 periodicity=6 colors=000C10O40ZA0hI0oS0ua0ym0zy0ym0ua0oS0hI0ZA0O\ 40C10000C10O40ZA0hI0oS0ua0ym0zy0ym0ua0oS0hI0ZA0O40\ C10000C10O40ZA0hI0oS0ua0ym0zy0ym0ua0oS0hI0ZA0O40C1\ 0000C10O40ZA0hI0oS0ua0ym0zy0ym0ua0oS0hI0ZA0O40C100\ 00C10O40ZA0hI0oS0ua0ym0zy0ym0ua0oS0hI0ZA0O40C10000\ C10O40ZA0hI0oS0ua0ym0zy0ym0ua0oS0hI0ZA0O40C10000C1\ 0O40ZA0hI0oS0ua0ym0zy0ym0ua0oS0hI0ZA0O40C10000C10O\ 40ZA0hI0oS0ua0ym0zy0ym0ua0oS0hI0ZA0O40C10000C10O40\ ZA0hI0oS0ua0ym0zy0ym0ua0oS0hI0ZA0O40C10000C10O40ZA\ 0hI0oS0ua0ym0zy0ym0ua0oS0hI0ZA0O40C10000C10O40ZA0h\ I0oS0ua0ym0zy0ym0ua0oS0hI0ZA0O40C10000C10O40ZA0hI0\ oS0ua0ym0zy0ym0ua0oS0hI0ZA0O40C10000C10O40ZA0hI0oS\ 0ua0ym0zy0ym0ua0oS0hI0ZA0O40C10000C10O40ZA0hI0oS0u\ a0ym0zy0ym0ua0oS0hI0ZA0O40C10000C10O40ZA0hI0oS0ua0\ ym0zy0ym0ua0oS0hI0ZA0O40C10000C10O40ZA0hI0oS0ua0ym\ 0zy0ym0ua0oS0hI0ZA0O40C10 } frm:F_20160222_1054 { ; Similar to the parallel resistance formula a=real(p1),b=real(p2),d=imag(p1),f=imag(p2), z=0,c1=pixel-p3,c2=pixel-p4: cs=z*cos(z)*sin(z), z=1/(1/(cs+c1)+1/(cs+c2)), |z|<100 } -- Mike Frazier www.fracton.org

4 4

Shortarm Castle
by Mike Frazier 22 Feb '16

22 Feb '16

This fractal mixes two copies of z * z * cos(z) * sin(z) at slightly different locations. The area around the fractal has lots of short arms interconnecting the features. If you zoom in more on the main feature on the right it looks like a castle with six towers. The zoomed in images need arbitrary precision math but the first image works fine with double precison. Here is a link to an image: http://dl.dropboxusercontent.com/u/33642054/image/pr_3cossin-3cossin_BC_120… A deep zoom into the feature on the left using arbitrary precision math and a different color palette: http://dl.dropboxusercontent.com/u/33642054/image/pr_3cossin-3cossin_CD_640… A zoom into the castle feature on the right using arbitrary precision math and a different color palette: http://dl.dropboxusercontent.com/u/33642054/image/pr_3cossin-3cossin_DD_640… The FractInt compatible PAR file for the first image is: Shortarm_Castle { ; Exported from Fracton. reset=2004 type=formula formulafile=fracton.frm formulaname=F_20160221_1004 passes=1 float=y center-mag=-0.6417820664871355/0/9172173044.248877\ /1/0/0 params=1/1/0/0/-1/0/1/0/0/0 maxiter=2000 inside=0 periodicity=6 colors=vQ1h_FViSIsdGnREiDCe0Ec8GaGI_OKYW000MWcOUkQ\ SrTUrWWrZYra_rdargcridrjYokSlkMjlGglAej9Zh8Sf8Ld7E\ c77_A8WD8SG9PJ9RELSAXT5hU1tha9VaLIaX8GHEURBNLIuBGn\ CEgDD`EBUF9NG7ct8S_I53G86EA9CCBAEEGkOCWKSk8NcAIWCD\ OE80P84N87L8AJ8DHhWEaTFWQFQOFKLGEIGdNYOJPaz3NbAPVV\ KRRGNNCJJ1CO5EKLcNJ`MHYLGVKESJCPIBMH9JGqtjknfeib_d\ ZV_VPVRJQNDLJ5_n6Wh6Tb7QX7MR8JL1Cr3Dj4Eb6FV7GNxfdm\ `_bWVTQQILLQCcLDYHESCFMVHHRGGOGGLGGHGGEGGBGG9je8VT\ ipUXcPKSKcRe_PaWOZSMWOLTKKPGIMCHJxa4pY6hV8aSAUPBNM\ DFJFHZBJ44G77E99CCCAEEhMBWKDKIFhnVahSWbQQXNKRLELIh\ G7cG9ZGAVGBQGCLGDHGECGFiIkaHdUHZNGSFGMhJkZIcQHWHGO\ lpmfkhafdXb`SYXNTSIPODKKyiRBmhAd`9XU8ONM_9JWBHTCFQ\ DCMEAJFlf6ea8ZYASTBLPDEKFhW60cw4Savl3XWAulFdaGhlEh\ q7c3vZ9nUEfQJZLOSHTKCYC8b5E_6KX7QU7WR8aO8gL9mJ9lIC\ lIFlIHlHKlHMlHPlHRdKPXNNQQLITJBWIJUNQTSXRXcQajOfqN\ kxMosKhoIbkGWgEQcCJ_BDkJ7 } frm:F_20160221_1004 { ; Similar to the parallel resistance formula a=real(p1),b=real(p2),d=imag(p1),f=imag(p2), z=0,c1=pixel-p3,c2=pixel-p4: cs=z*z*cos(z)*sin(z), z=1/(1/(cs+c1)+1/(cs+c2)), |z|<100 } -- Mike Frazier www.fracton.org

2 2

Paul N. Lee and other things
by Barry Smith 22 Feb '16

22 Feb '16

I would like to join Hal Lane and others in mourning the passing of Paul N. Lee. I was very saddened to hear of Paul's death, although I never met him in person. As others have said, he was a frequent and generous contributor to this list, sharing his knowledge and understanding of fractals. He also maintained a web site and a valuable archive, which others are now trying to keep going. But this is not all. He was personally very kind and generous of his time. A couple of years ago, I had some problems when my messages to various people, including him, were bounced. He made many helpful suggestions to me away from the list. In the end I discovered that the problem was caused by my ISP being taken over by a larger company. Its incompetence resulted in the Grapevine domain name being blacklisted by several mail servers including AT&T. Some people may not know that Paul had a long and quite ghastly time with cancer and had countless surgical and medical interventions. Despite this, he kept posting. His story resonated with me as a cancer survivor. I was fortunate not only to have a good oncologist and a good haematologist, and to live in a country with a rather better health funding system than the US, but there was a genetically modified drug capable of treating my form of cancer, which, followed by an autologous stem cell transplant and a long convalescence, more than sixteen years ago, proved quite effective. Others are less lucky. I am also delighted that the Fractint list may not be moribund. Since Albrecht's latest dummy-spit, the list has been very quiet. It was great to hear that Jim Muth may resume posting fractals at least occasionally. For many of us Jim's FOTD epitomises what the list is about. Thank you also to Mike Frazier for keeping things going. Barry Smith, long time lurker from Australia. Barry W Smith 16/21 Wiseman Street Macquarie ACT 2614, Australia Tel. +61 2 6251 2119 e-mail: barrys(a)grapevine.net.au

2 1

Re: [Fractint] Fractal of the ? -- test
by James R McKenzie 22 Feb '16

22 Feb '16

Same here. Maybe an Ubuntu oriented version. -----Original Message----- >From: David Jones <gnome(a)hawaii.rr.com> >Sent: Feb 21, 2016 5:14 PM >To: Fractint and General Fractals Discussion <fractint(a)mailman.xmission.com> >Subject: Re: [Fractint] Fractal of the ? -- test > >And Mike Frazier, I'd love to see a Linux version of Fracton. > >David W. Jones >gnome(a)hawaii.rr.com >authenticity, honesty, community >http://dancingtreefrog.comOn Feb 21, 2016 09:15, Mike Frazier <fractonorg(a)gmail.com> wrote: >> >> I am very sorry to hear that Paul passed away. He contributed a lot to the >> FractInt community over many years. >> >> It is good to hear from Jim again. I look forward to some new FOT fractals. >> >> -- >> Mike Frazier >> www.fracton.org >> _______________________________________________ >> Fractint mailing list >> Fractint(a)mailman.xmission.com >> https://mailman.xmission.com/cgi-bin/mailman/listinfo/fractint >_______________________________________________ >Fractint mailing list >Fractint(a)mailman.xmission.com >https://mailman.xmission.com/cgi-bin/mailman/listinfo/fractint

3 3

Capturing Paiul N Lee's sites
by Timothy Wegner 22 Feb '16

22 Feb '16

I am replying to an earlier message so the background of Paul N. Lee's health as of last December and his web sites would show up in the quoted text. As of right now his sites are up. A lot of what follows is off topic, but a little discussion about preserving his sites probably appropriate give that a long time list member has died. Paul's web sites appear to be mainly (if not entirely) static html which is extremely easy and inexpensive to host. For example, I have a headless 486-class server running a miniature version of Linux that I am using at home mainly as a learning platform. Such a system can easily host a large amount static html. Web hosting is technically against Comcast's terms of service, but in practice they don't seem to mind as long as the customer is not hosting a high traffic site. This tiny 486 box consumes about 5 watts, so is close to "free" to operate. Another approach is to use one of the cloud computing services provided by any number of folks such as Google, Amazon, and other less familiar names like Digitalocean and Dreamhost. The smallest versions of these, typically with 1 gb ram, are more than suitable for a static website, and cost about $10/month. For example, I am experimenting with Google and Dreamhost. These links will not last, but see these ports of the static fractint.net site: gc.fractint.org, and dc.fractint.org ("gc" for Google Cloud and "dc" for DreamCompute). Google has a 60 day free trial. Amazon has a one year (!!) free trial. The downside of these services is that they are unmanaged. That is you install a stock Linux (or whatever) and are on your own to set it up and manage it This is in contrast to fractint.net, which is (currently) hosted on a managed Virtual Private Server (VPS) ($15/month for 1GB ram instance). In otherwords, Dreamhost keeps the software updated and has configured the web server. I initially found the prospect of hosting on an unmanaged server daunting because I just didn't know enough, but I am learning fast. I do this partly to keep my old brain engaged with technical challenges for my own health. Actually, plain old fashioned shared hosting would probably suffice for Paul's content, this costs as little as $4/month, and is managed. This thought occurred to me after I wrote the long previous paragraph. Anyone who already has hosting could make a sub-domain, and add the static content. There are tools (see https://www.httrack.com/) that can capture sites. Of course this would be easier if Paul has given someone access to his sites so the html could be obtained directly. One issue is that some of Paul's sites I would personally be the most interested in capturing are to a greater or lesser degree in need of maintenance, mainly cleaning up of dead links. Among other things, Paul captured Noel Giffin's spanky site, which has many dead links. I am not sure how deep I want to get into editing the sites, but I am interested in content that is more fractint-related. If anyone has anything to offer on this, maybe for a little while we should declare how to capture some or all of Paul's fractal sites on topic. I would be interested in knowing what of Paul's content folks would like to see saved. Or if someone else is just going ahead and doing this, I would like to know that too. PS Just saw Harold Lane's note about John Starr, so as Harold said, maybe this is moot. Tim See quoted material below. On Wed, Dec 9, 2015 at 2:36 PM, Hal Lane <hallane(a)earthlink.net> wrote: > > I have been battling cancer since January 2008. > Paul, > Thank you for being willing to share your > challenges with the members of the [Fractint] list. > I feel bad that you have had so many physical > trials. > > And thank you for all your attentions to the members > of this list, and all the time and effort you have > devoted to fractals, fractal software and computing > elsewhere, Paul. > http://www.nahee.com/Fractals/ > Revised Spanky Fractal Database: > http://www.nahee.com/spanky/ > http://www.nahee.com/PNL/Fractals.html > http://www.nahee.com/ > https://www.blogger.com/profile/08898206387741732050 > http://www.nahee.com/Fractals/Contest1997/CONTEST.html > etc. > > [There are also other fractal contest pages, hosted elsewhere:] > http://www.fractalartcontests.com/1998/ > http://www.fractalartcontests.com/1999/ > http://www.fractalartcontests.com/2000/en/index.html > on: https://www.fractalus.com/ > > Are either John or Nahee Enterprises able to > continue to host your valuable pages? > > - Hal Lane > > ######################## > # hallane(a)earthlink.net > ######################## > > ------ P.N.L. said --------------------- > You are lucky you are so well of, Albrecht. :-) > > I have been battling cancer since January 2008. I have had over a dozen > surgical procedures, numerous sets of radiation treatments (where my skin > was so "burned" it begin to liquefy), and years of chemo-therapy so intense > at times, I had to be sent to Emergency because the "poisons" > they gave me were killing me (such as my nails turning black and falling > off). > > And now my newly grown liver (which 80 percent was cut out a year ago) has > more lesions and is now failing, causing me sever edema. Plus, the > additional lesions in my lung and lymph nodes are creating their own set of > problems. > > The Palliative Care doctor this past afternoon says I should have about six > weeks left to live, and if lucky, I might be able to stretch that to four > to > six months if they can control the fluid retention and keep what little > functionality my liver currently has going that long. > > > So, you do not not have that much to complain about. There are others who > are much worse off than you. > > > Sincerely, > P.N.L. > _______________________________________________ > Fractint mailing list > Fractint(a)mailman.xmission.com > https://mailman.xmission.com/cgi-bin/mailman/listinfo/fractint > > > --- > This email has been checked for viruses by Avast antivirus software. > https://www.avast.com/antivirus > > > _______________________________________________ > Fractint mailing list > Fractint(a)mailman.xmission.com > https://mailman.xmission.com/cgi-bin/mailman/listinfo/fractint >

3 5

Re: [Fractint] Fractal of the ? -- test
by David Jones 21 Feb '16

21 Feb '16

And Mike Frazier, I'd love to see a Linux version of Fracton. David W. Jones gnome(a)hawaii.rr.com authenticity, honesty, community http://dancingtreefrog.comOn Feb 21, 2016 09:15, Mike Frazier <fractonorg(a)gmail.com> wrote: > > I am very sorry to hear that Paul passed away. He contributed a lot to the > FractInt community over many years. > > It is good to hear from Jim again. I look forward to some new FOT fractals. > > -- > Mike Frazier > www.fracton.org > _______________________________________________ > Fractint mailing list > Fractint(a)mailman.xmission.com > https://mailman.xmission.com/cgi-bin/mailman/listinfo/fractint

1 0

Re: [Fractint] Fractal of the ? -- test
by David Jones 21 Feb '16

21 Feb '16

"Fractal of the Whenever-I-Feel-Like-It"? "Fractal of the It's-Not-Ready-Until-It's-Ready"? ;) Yo, Jim the Great and Mighty Muth! Nice to hear from you again. I sorely miss your awesome artist's eye for colors. You do amazing things with only 256 colors! David W. Jones gnome(a)hawaii.rr.com authenticity, honesty, community http://dancingtreefrog.comOn Feb 21, 2016 09:15, Mike Frazier <fractonorg(a)gmail.com> wrote: > > I am very sorry to hear that Paul passed away. He contributed a lot to the > FractInt community over many years. > > It is good to hear from Jim again. I look forward to some new FOT fractals. > > -- > Mike Frazier > www.fracton.org > _______________________________________________ > Fractint mailing list > Fractint(a)mailman.xmission.com > https://mailman.xmission.com/cgi-bin/mailman/listinfo/fractint

1 0

Re: [Fractint] <Ton> Thank you for the information about Paul N. Lee
by David Jones 21 Feb '16

21 Feb '16

Setting up mirrors would be something, if one's hosting package has the space & bandwidth. David W. Jones gnome(a)hawaii.rr.com authenticity, honesty, community http://dancingtreefrog.comOn Feb 21, 2016 10:05, Harold Lane <hallane(a)earthlink.net> wrote: > > Ton, > Thank you for the information about Paul N. Lee's > passing. His knowledge, warmth and efforts on behalf > of people working with fractals will be sorely missed. > > I would gladly contribute towards keeping his servers > containing fractal resources running if I knew how to > do so. I once talked with a close friend of Paul's when > he was ill some time ago, named John Starr, and I'm > trying to contact him now. > > - Hal Lane > > ######################## > # hallane(a)earthlink.net > ######################## > > > -----Original Message----- > From: Fractint [mailto:fractint-bounces@mailman.xmission.com] On Behalf Of > Ton Koppens > Sent: Sunday, February 21, 2016 11:02 AM > To: 'Fractint and General Fractals Discussion' > <fractint(a)mailman.xmission.com> > Subject: Re: [Fractint] Fractal of the ? -- test > > Hi Jim, > > Welcome back. > > We all grow older. > For those who don't know: Paul N. Lee is no longer with us. He has left this > world for a better one. (I hope). > > Met vriendelijke groet, > > Ton Koppens > Boogjes 90 > 331 VC Dordrecht > 078-6147867 > 06-36006633 > www.tonkoppens.nl > > -----Oorspronkelijk bericht----- > Van: Fractint [mailto:fractint-bounces@mailman.xmission.com] Namens Jim Muth > Verzonden: zondag 21 februari 2016 16:32 > Aan: fractint(a)mailman.xmission.com > Onderwerp: [Fractint] Fractal of the ? -- test > > > Fractal enthusiasts: > > This is a test to see if I am still subscribed to the list. > > I might be resurrecting the FOTD as the FOT? in the near future. > > Glad to see the list has not died in my absence. > > Jim M. > > > _______________________________________________ > Fractint mailing list > Fractint(a)mailman.xmission.com > https://mailman.xmission.com/cgi-bin/mailman/listinfo/fractint > > > _______________________________________________ > Fractint mailing list > Fractint(a)mailman.xmission.com > https://mailman.xmission.com/cgi-bin/mailman/listinfo/fractint > > > --- > This email has been checked for viruses by Avast antivirus software. > https://www.avast.com/antivirus > > > _______________________________________________ > Fractint mailing list > Fractint(a)mailman.xmission.com > https://mailman.xmission.com/cgi-bin/mailman/listinfo/fractint

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Re: [Fractint] Fractal of the ? -- test
by David Jones 21 Feb '16

21 Feb '16

In the meantime, DuckDuckGoing "Sylvie Gallet" returned many links, including this one that leads to many other fractal galleries: http://www.ams.org/mathimagery/thumbnails.php?album=13 And didn't Linda Allison switch to UltraFractal? Used to buy her fractal calendars each year until we fell in love with France. They were clearly done with color depths beyond Fractint's capabilities. David W. Jones gnome(a)hawaii.rr.com authenticity, honesty, community http://dancingtreefrog.comOn Feb 21, 2016 10:38, John Wilson <1stdiscus(a)gmail.com> wrote: > > Ho, hum. Same old, same old Jim Muth. This is a duplicate of something I > read back in May of 2015—just another teaser? Hope not—it sure would be > nice to see the old ------ back! Just the other day I was wandering the > deserts of Fractint, wondering what had happened to those I used to follow, > like— > Lee H. Skinner, > > Bill Jemison, Linda > > Allison, > > SylvieGallet, > > MikeFrazier, Jim Muth, Morgan L. Owen > and others. > Just a hint of Muth seems to > resurrect Fractint wraiths. If Muth comes back, who else might reappear? > > John W. > > > On 21 February 2016 at 07:31, Jim Muth <jimmuth(a)earthlink.net> wrote: > > > > > Fractal enthusiasts: > > > > This is a test to see if I am still subscribed to the list. > > > > I might be resurrecting the FOTD as the FOT? in the near future. > > > > Glad to see the list has not died in my absence. > > > > Jim M. > _______________________________________________ > Fractint mailing list > Fractint(a)mailman.xmission.com > https://mailman.xmission.com/cgi-bin/mailman/listinfo/fractint

1 0

Fractal of the ? -- test
by John Wilson 21 Feb '16

21 Feb '16

Ho, hum. Same old, same old Jim Muth. This is a duplicate of something I read back in May of 2015—just another teaser? Hope not—it sure would be nice to see the old ------ back! Just the other day I was wandering the deserts of Fractint, wondering what had happened to those I used to follow, like— Lee H. Skinner, Bill Jemison, Linda Allison, SylvieGallet, MikeFrazier, Jim Muth, Morgan L. Owen and others. Just a hint of Muth seems to resurrect Fractint wraiths. If Muth comes back, who else might reappear? John W. On 21 February 2016 at 07:31, Jim Muth <jimmuth(a)earthlink.net> wrote: > > Fractal enthusiasts: > > This is a test to see if I am still subscribed to the list. > > I might be resurrecting the FOTD as the FOT? in the near future. > > Glad to see the list has not died in my absence. > > Jim M.

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Re: [Fractint] Fractint Digest, Vol 156, Issue 5
by Jovan Trujillo 21 Feb '16

21 Feb '16

I'm glad to see Jim is coming back. I miss his posts. Sent from my iPhone > On Feb 21, 2016, at 11:35 AM, fractint-request(a)mailman.xmission.com wrote: > > Send Fractint mailing list submissions to > fractint(a)mailman.xmission.com > > To subscribe or unsubscribe via the World Wide Web, visit > https://mailman.xmission.com/cgi-bin/mailman/listinfo/fractint > or, via email, send a message with subject or body 'help' to > fractint-request(a)mailman.xmission.com > > You can reach the person managing the list at > fractint-owner(a)mailman.xmission.com > > When replying, please edit your Subject line so it is more specific > than "Re: Contents of Fractint digest..." > > > Today's Topics: > > 1. Re: R.I.P? (mchris(a)value.net - Webmail) > 2. Re: R.I.P? (Harold Lane) > 3. Re: R.I.P? (Mike Frazier) > 4. Fractal of the ? -- test (Jim Muth) > 5. Re: Fractal of the ? -- test (Ton Koppens) > 6. Re: Fractal of the ? -- test (Harold Lane) > > > ---------------------------------------------------------------------- > > Message: 1 > Date: Sat, 20 Feb 2016 19:05:46 -0500 (EST) > From: "mchris(a)value.net - Webmail" <mchris(a)value.net> > To: Fractint and General Fractals Discussion > <fractint(a)mailman.xmission.com> > Subject: Re: [Fractint] R.I.P? > Message-ID: > <449413109.790851902.1456013146752.JavaMail.zimbra(a)value.net> > Content-Type: text/plain; charset=utf-8 > > I've been too busy for years, haven't been active since 2004. Can't afford to retire. If I ever win the lotto I'll be back with a vengeance. > > > Aloha, > Bud (formerly of Bud's Fractal Pages) > > P.S.: > > Have a few old favorites on Flickr, > https://www.flickr.com/photos/79951033@N07/albums/72157631239751136 > > and an unadvertised zombie version of the old BFP on Heliohost: > http://budsfractals.heliohost.org/fractals.htm > > ----- Original Message ----- > From: "Bill Jemison" <bill.jemison(a)gmail.com> > To: "Fractint and General Fractals Discussion" <fractint(a)mailman.xmission.com> > Sent: Friday, February 19, 2016 10:28:48 PM > Subject: Re: [Fractint] R.I.P? > > Well, since A. threw his latest tantrum, things have been quiet. Not the > first time for either situation. But let's not pronounce it dead. Just > taking a breather. I still intend on posting when I get the time and > inspiration simultaneously. Not that I have anything earthshaking... long > live Fractint! > > Bill Jemison > >> On Thursday, February 18, 2016, John Wilson <1stdiscus(a)gmail.com> wrote: >> >> Has the Fractint list finally gone belly up? I've seen nothing more recent >> than January 26th. >> >> John W. >> _______________________________________________ >> Fractint mailing list >> Fractint(a)mailman.xmission.com <javascript:;> >> https://mailman.xmission.com/cgi-bin/mailman/listinfo/fractint > _______________________________________________ > Fractint mailing list > Fractint(a)mailman.xmission.com > https://mailman.xmission.com/cgi-bin/mailman/listinfo/fractint > > > > > ------------------------------ > > Message: 2 > Date: Sat, 20 Feb 2016 19:46:30 -0500 > From: "Harold Lane" <hallane(a)earthlink.net> > To: "'Fractint and General Fractals Discussion'" > <fractint(a)mailman.xmission.com>, <mchris(a)value.net> > Subject: Re: [Fractint] R.I.P? > Message-ID: <002501d16c41$4ddf5110$e99df330$(a)earthlink.net> > Content-Type: text/plain; charset="us-ascii" > >> Have a few old favorites on Flickr... >> and an unadvertised zombie version of the old BFP on Heliohost: > > Thanks for the links, Bud! Great fractals! > > - Hal Lane > > ######################## > # hallane(a)earthlink.net > ######################## > > -----Original Message----- > From: Fractint [mailto:fractint-bounces@mailman.xmission.com] On Behalf Of > mchris(a)value.net - Webmail > Sent: Saturday, February 20, 2016 7:06 PM > To: Fractint and General Fractals Discussion <fractint(a)mailman.xmission.com> > Subject: Re: [Fractint] R.I.P? > > I've been too busy for years, haven't been active since 2004. Can't afford > to retire. If I ever win the lotto I'll be back with a vengeance. > > > Aloha, > Bud (formerly of Bud's Fractal Pages) > > P.S.: > > Have a few old favorites on Flickr, > https://www.flickr.com/photos/79951033@N07/albums/72157631239751136 > > and an unadvertised zombie version of the old BFP on Heliohost: > http://budsfractals.heliohost.org/fractals.htm > > ----- Original Message ----- > From: "Bill Jemison" <bill.jemison(a)gmail.com> > To: "Fractint and General Fractals Discussion" > <fractint(a)mailman.xmission.com> > Sent: Friday, February 19, 2016 10:28:48 PM > Subject: Re: [Fractint] R.I.P? > > Well, since A. threw his latest tantrum, things have been quiet. Not the > first time for either situation. But let's not pronounce it dead. Just > taking a breather. I still intend on posting when I get the time and > inspiration simultaneously. Not that I have anything earthshaking... long > live Fractint! > > Bill Jemison > >> On Thursday, February 18, 2016, John Wilson <1stdiscus(a)gmail.com> wrote: >> >> Has the Fractint list finally gone belly up? I've seen nothing more >> recent than January 26th. >> >> John W. >> _______________________________________________ >> Fractint mailing list >> Fractint(a)mailman.xmission.com <javascript:;> >> https://mailman.xmission.com/cgi-bin/mailman/listinfo/fractint > _______________________________________________ > Fractint mailing list > Fractint(a)mailman.xmission.com > https://mailman.xmission.com/cgi-bin/mailman/listinfo/fractint > > > _______________________________________________ > Fractint mailing list > Fractint(a)mailman.xmission.com > https://mailman.xmission.com/cgi-bin/mailman/listinfo/fractint > > > --- > This email has been checked for viruses by Avast antivirus software. > https://www.avast.com/antivirus > > > > > ------------------------------ > > Message: 3 > Date: Sat, 20 Feb 2016 18:49:38 -0700 > From: Mike Frazier <fractonorg(a)gmail.com> > To: Fractint and General Fractals Discussion > <fractint(a)mailman.xmission.com> > Subject: Re: [Fractint] R.I.P? > Message-ID: > <CAES8f7DB-2aiyjsUJgVMkc+rxBYx3kHDwUFN2MayK0TXtXQC-Q(a)mail.gmail.com> > Content-Type: text/plain; charset=UTF-8 > > I am still around as well. Like most every one else, I have too many things > going on to do them all. I do plan to post some new fractals soon. > > > -- > Mike Frazier > www.fracton.org > > > ------------------------------ > > Message: 4 > Date: Sun, 21 Feb 2016 10:31:53 -0500 (GMT-05:00) > From: Jim Muth <jimmuth(a)earthlink.net> > To: fractint(a)mailman.xmission.com > Subject: [Fractint] Fractal of the ? -- test > Message-ID: > <6697080.1456068714391.JavaMail.root(a)elwamui-mouette.atl.sa.earthlink.net> > > Content-Type: text/plain; charset=UTF-8 > > > Fractal enthusiasts: > > This is a test to see if I am still subscribed to the list. > > I might be resurrecting the FOTD as the FOT? in the near future. > > Glad to see the list has not died in my absence. > > Jim M. > > > > > ------------------------------ > > Message: 5 > Date: Sun, 21 Feb 2016 17:01:41 +0100 > From: "Ton Koppens" <ton(a)tonkoppens.nl> > To: "'Fractint and General Fractals Discussion'" > <fractint(a)mailman.xmission.com> > Subject: Re: [Fractint] Fractal of the ? -- test > Message-ID: <000901d16cc1$27a50870$76ef1950$(a)tonkoppens.nl> > Content-Type: text/plain; charset="iso-8859-1" > > Hi Jim, > > Welcome back. > > We all grow older. > For those who don't know: Paul N. Lee is no longer with us. He has left this > world for a better one. (I hope). > > Met vriendelijke groet, > > Ton Koppens > Boogjes 90 > 331 VC? Dordrecht > 078-6147867 > 06-36006633 > www.tonkoppens.nl > > -----Oorspronkelijk bericht----- > Van: Fractint [mailto:fractint-bounces@mailman.xmission.com] Namens Jim Muth > Verzonden: zondag 21 februari 2016 16:32 > Aan: fractint(a)mailman.xmission.com > Onderwerp: [Fractint] Fractal of the ? -- test > > > Fractal enthusiasts: > > This is a test to see if I am still subscribed to the list. > > I might be resurrecting the FOTD as the FOT? in the near future. > > Glad to see the list has not died in my absence. > > Jim M. > > > _______________________________________________ > Fractint mailing list > Fractint(a)mailman.xmission.com > https://mailman.xmission.com/cgi-bin/mailman/listinfo/fractint > > > > > ------------------------------ > > Message: 6 > Date: Sun, 21 Feb 2016 13:34:49 -0500 > From: "Harold Lane" <hallane(a)earthlink.net> > To: "'Fractint and General Fractals Discussion'" > <fractint(a)mailman.xmission.com>, "Muth, Jim" <jimmuth(a)earthlink.net> > Subject: Re: [Fractint] Fractal of the ? -- test > Message-ID: <000001d16cd6$8c1bd350$a45379f0$(a)earthlink.net> > Content-Type: text/plain; charset="us-ascii" > >> I might be resurrecting the FOTD as the FOT? in the near future. > > I'm very pleased to hear that, Jim. > > - Hal Lane > > ######################## > # hallane(a)earthlink.net > ######################## > -----Original Message----- > From: Fractint [mailto:fractint-bounces@mailman.xmission.com] On Behalf Of > Jim Muth > Sent: Sunday, February 21, 2016 10:32 AM > To: fractint(a)mailman.xmission.com > Subject: [Fractint] Fractal of the ? -- test > > > Fractal enthusiasts: > > This is a test to see if I am still subscribed to the list. > > I might be resurrecting the FOTD as the FOT? in the near future. > > Glad to see the list has not died in my absence. > > Jim M. > > > _______________________________________________ > Fractint mailing list > Fractint(a)mailman.xmission.com > https://mailman.xmission.com/cgi-bin/mailman/listinfo/fractint > > > --- > This email has been checked for viruses by Avast antivirus software. > https://www.avast.com/antivirus > > > > > ------------------------------ > > Subject: Digest Footer > > _______________________________________________ > Fractint mailing list > Fractint(a)mailman.xmission.com > https://mailman.xmission.com/cgi-bin/mailman/listinfo/fractint > > > ------------------------------ > > End of Fractint Digest, Vol 156, Issue 5 > ****************************************

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<Ton> Thank you for the information about Paul N. Lee
by Harold Lane 21 Feb '16

21 Feb '16

Ton, Thank you for the information about Paul N. Lee's passing. His knowledge, warmth and efforts on behalf of people working with fractals will be sorely missed. I would gladly contribute towards keeping his servers containing fractal resources running if I knew how to do so. I once talked with a close friend of Paul's when he was ill some time ago, named John Starr, and I'm trying to contact him now. - Hal Lane ######################## # hallane(a)earthlink.net ######################## -----Original Message----- From: Fractint [mailto:fractint-bounces@mailman.xmission.com] On Behalf Of Ton Koppens Sent: Sunday, February 21, 2016 11:02 AM To: 'Fractint and General Fractals Discussion' <fractint(a)mailman.xmission.com> Subject: Re: [Fractint] Fractal of the ? -- test Hi Jim, Welcome back. We all grow older. For those who don't know: Paul N. Lee is no longer with us. He has left this world for a better one. (I hope). Met vriendelijke groet, Ton Koppens Boogjes 90 331 VC Dordrecht 078-6147867 06-36006633 www.tonkoppens.nl -----Oorspronkelijk bericht----- Van: Fractint [mailto:fractint-bounces@mailman.xmission.com] Namens Jim Muth Verzonden: zondag 21 februari 2016 16:32 Aan: fractint(a)mailman.xmission.com Onderwerp: [Fractint] Fractal of the ? -- test Fractal enthusiasts: This is a test to see if I am still subscribed to the list. I might be resurrecting the FOTD as the FOT? in the near future. Glad to see the list has not died in my absence. Jim M. _______________________________________________ Fractint mailing list Fractint(a)mailman.xmission.com https://mailman.xmission.com/cgi-bin/mailman/listinfo/fractint _______________________________________________ Fractint mailing list Fractint(a)mailman.xmission.com https://mailman.xmission.com/cgi-bin/mailman/listinfo/fractint --- This email has been checked for viruses by Avast antivirus software. https://www.avast.com/antivirus

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R.I.P?
by John Wilson 21 Feb '16

21 Feb '16

Has the Fractint list finally gone belly up? I've seen nothing more recent than January 26th. John W.

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existics
by sciwise＠ihug.co.nz 19 Feb '16

19 Feb '16

Have I entered that correctly. I've discovered a website , by Gavin Wince , that discusses three dimensional time , infinite regression and infinite progression. The formulas involved aren't particularly complicated , however upon iteration some interesting results might be obtained.

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In addition to the slide show of fractals done in snow, there is...
by Harold Lane 03 Feb '16

03 Feb '16

In addition to the slide show of fractals done in snow, there is a very nice video where the fractals start about halfway through: http://tinyurl.com/Fractals-In-Snow or: http://www.smithsonianmag.com/smart-news/these-stunning-fractals-are-made-sn ow-180958012/ - 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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Re: [Fractint] David's post re "kinda fun" fractal
by Harold Lane 26 Jan '16

26 Jan '16

John, David, Do you have any idea what the thresholding is doing? http://homepages.slingshot.co.nz/~alpersj/mandelbrot/ When I was holding down the threshold "S" key, at one point the fractal does a kind of "inside out" transformation and then eventually becomes an M-set. This sudden transformation is very intriguing to me. The "inside out" transformation the fractal did reminded me of the Fractint feature: "Inversion" that I've read about. The concept is very simple, but the docs warn of such "bizarre effects" that you can need "something to hang on to." I put a copy of the Fractint docs for inversion below. I just Factory Restored my computer and can't try it on a fractal myself yet. Would someone try some inversion values (<Y> options screen) on an M-set and let me know if this is what David's post's web site is doing? I had the idea that when the inversion circle radius passed through the value of one, that this is where the fractal might be doing its inside-out flip/transformation... "Inverting through a circle not centered on the origin..." might be a fun thing to try the Fractint Evolver on! Thanks, - Hal Lane ######################## # hallane(a)earthlink.net ######################## Fractint Version 20.04 Page 92 3.5 Inversion Many years ago there was a brief craze for "anamorphic art": images painted and viewed with the use of a cylindrical mirror, so that they looked weirdly distorted on the canvas but correct in the [mirror's] distorted reflection. (This byway of art history may be a useful defense when your friends and family give you odd looks for staring at fractal images color-cycling on a CRT.) The Inversion option performs a related transformation on most of the fractal types. You define the center point and radius of a circle; Fractint maps each point inside the circle to a corresponding point outside, and vice-versa. This is known to mathematicians as inverting (or if you want to get precise, "everting") the plane, and is something they can contemplate without getting a headache. John Milnor (also mentioned in connection with the Distance Estimator Method (p. 91)), made his name in the 1950s with a method for everting a seven- dimensional sphere, so we have a lot of catching up to do. For example, if a point inside the circle is 1/3 of the way from the center to the radius, it is mapped to a point along the same radial line, but at a distance of (3 * radius) from the origin. An outside point at 4 times the radius is mapped inside at 1/4 the radius. The inversion parameters on the <Y> options screen allow entry of the radius and center coordinates of the inversion circle. A default choice of -1 sets the radius at 1/6 the smaller dimension of the image currently on the screen. The default values for Xcenter and Ycenter use the coordinates currently mapped to the center of the screen. Try this one out with a Newton (p. 49) plot, so its radial "spokes" will give you something to hang on to. Plot a Newton-method image, then set the inversion radius to 1, with default center coordinates. The center "explodes" to the periphery. Fractint Version 20.04 Page 93 Inverting through a circle not centered on the origin produces bizarre effects that we're not even going to try to describe. Aren't computers wonderful? --- --- This email has been checked for viruses by Avast antivirus software. https://www.avast.com/antivirus

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EHNewt
by sciwise＠ihug.co.nz 26 Jan '16

26 Jan '16

An attempt at solving a second order non linear differential equation has produced this formula , using Euler Heun and Newton's method ; where : x method , with complex divisor %i*s , for a second order > non linear differential equation. > > Select zmag for outer . > > } > EHNewt{; EH Newton , > w1 = pixel, > sn=-1, > Pd = 1*(10^(-13)), > a5= 42.469607686999 , > b1= 23546.24999999999 , > b2= 9.343749999999999*(10^(8)) , > b3= 96.8 , > s=0.01 > p=0.39757, > h=0.71743, > x = 0.1, > y = 0, > tol = 1: > > u = y > w = ( sn*a5*y*y+sn*(b2*x + b3)*y +sn*( sn*b2*w1 + sn*b1)*x +sn*b1)/s > w = sn*log(w)/a5 > > a = x + p*u > b = y + p*w > > c = x + h*(u + b) > d = ( sn*a*( sn*b2*w1 +sn*b1 ) +sn*b*( b3 + a*b2 ) + sn*b1 + sn*a5*b*b)/s > d = y + h*(w + d) > d = sn*log(d)/a5 > > x = c > y = d > z = y > > tol = |u-y| > tol > Pd > > }

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W.David's post
by John Wilson 26 Jan '16

26 Jan '16

http://homepages.slingshot.co.nz/~alpersj/mandelbrot/ Hal, if you carry on as you described, you do indeed, end up with a Mandelbrot with a white center. It's a .pnp image, which can be saved as a .gif for manipulation in Fractint. John

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I missed David's web page's instructions the 1st time I viewed it
by Harold Lane 26 Jan '16

26 Jan '16

In David's recent post: ------ My soon-to-be son-in-law sent me this: http://homepages.slingshot.co.nz/~alpersj/mandelbrot/ -David W. Jones gnome@??? authenticity, honesty, community http://dancingtreefrog.com ------ I missed the page's instructions at upper left (they disappear) the 1st time I viewed it: "Use the arrow keys to pan, A and Z keys to zoom, S and X keys to change the threshold." The web page is "live" -- Javascript in your browser calculates the fractal essentially instantaneously -- and you can pan and zoom ("A") into it in real time... I discovered that if you hold down the threshold "S" key for long enough, the image does a kind of "inside out" transformation and eventually becomes an M-set with a white "lake." I'm not sure what the threshold feature is doing -- but, it's not a simple color map rotation. - 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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Re: [Fractint] Finito
by David Jones 24 Jan '16

24 Jan '16

Took his ball and went home again. I guess to Bielefeld. (Thanks for the blog follow, John!) David W. Jones gnome(a)hawaii.rr.com authenticity, honesty, community http://dancingtreefrog.com On Jan 24, 2016 04:47, John Wilson <1stdiscus(a)gmail.com> wrote: > > Albrecht Niekamp and Bielefeld <https://en.wikipedia.org/wiki/Bielefeld> do > not actually exist. > > On 23 January 2016 at 23:39, Albrecht Niekamp <multifrac(a)t-online.de> wrote: > > > Archives included > > Albrecht

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Finito
by Albrecht Niekamp 24 Jan '16

24 Jan '16

Archives included Albrecht

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Re: [Fractint] Kinda fun despite wonky resolution and color shading
by David Jones 23 Jan '16

23 Jan '16

On Jan 23, 2016 11:21, Multifrac(a)t-online.de wrote: > > On 23.01.2016 06:32, david wrote: > > My soon-to-be son-in-law sent me this: > ; > Why posting such junk? It´s not even fractal. Hmm, actually, it's a rendering of the Mandelbrot set, so it is fractal. Low res and little or no color pallette. > If you don´t like what I´m doing you can just > say so or remain silent. My, sensitive are we? Has nothing to do with your fascinating and amazing achievements with DOS Fractint. Which I like very much, by the way. > Albrecht David W. Jones gnome(a)hawaii.rr.com authenticity, honesty, community http://dancingtreefrog.com

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Kinda fun despite wonky resolution and color shading
by david 23 Jan '16

23 Jan '16

My soon-to-be son-in-law sent me this: http://homepages.slingshot.co.nz/~alpersj/mandelbrot/ -- David W. Jones gnome(a)hawaii.rr.com authenticity, honesty, community http://dancingtreefrog.com

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Re: [Fractint] Another Niekamp animation by JoTz
by Harold Lane 22 Jan '16

22 Jan '16

----- JoTz said: ------ > Another Niekamp animation [links below]... Another great zoom, JoTz! I can't get over the fact that at every magnification, Albrecht's fractal formula provides a well-balanced scene with great detail and good coloring... Thanks Albrecht, JoTz! Btw, I like to watch JoTz's videos at 1/2 speed, so those great scenes don't go by so quickly -- so I can savor those nicely-arranged pixels... - Hal Lane ######################## # hallane(a)earthlink.net ######################## -----Original Message------------------------------------------------------------- From: Fractint [mailto:fractint-bounces+hallane=earthlink.net@mailman.xmission.com] On Behalf Of Harold Lane Sent: Wednesday, January 20, 2016 9:41 PM To: 'LLOYD GARRICK' <lgarr(a)colorado-hiking.net>; Albrechtx_Multifract!!! <Multifrac(a)t-online.de>; 'Fractint and General Fractals Discussion' <fractint(a)mailman.xmission.com> Subject: Re: [Fractint] <Albrecht> I´m asking myself is it makes any sense to go on... ----------- JoTz said: --------- > [Hal,] Please post to the group as I still do not have access: - Hal Lane ######################## # hallane(a)earthlink.net ######################## -----Original Message------------------------------------------------------------- From: LLOYD GARRICK [mailto:lgarr@colorado-hiking.net] Sent: Wednesday, January 20, 2016 9:04 PM To: Harold Lane <hallane(a)earthlink.net>; Albrechtx_Multifract!!! <Multifrac(a)t-online.de>; Fractint and General Fractals Discussion <fractint(a)mailman.xmission.com> Subject: Re: [Fractint] <Albrecht> I´m asking myself is it makes any sense to go on... . [Hal,] Please post to the group as I still do not have access: Another Niekamp animation; both AVI: 400Meg http://www.fractal-animation.net/special/PearlyGates1024.zip 200Meg http://www.fractal-animation.net/special/PearlyGates640.zip Comments welcome. --- Fractint mailing list Fractint(a)mailman.xmission.com https://mailman.xmission.com/cgi-bin/mailman/listinfo/fractint --- This email has been checked for viruses by Avast antivirus software. https://www.avast.com/antivirus

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(Fractint] Fractal Trip
by Albrecht Niekamp 22 Jan '16

22 Jan '16

Fractal Trip ; Sometimes, - the Fractint users are aware of it -, I come up with something completely new to keep progress and curiosity alive. Today it´s the Fractal Trip: Starting from a zoom into the center of the parent view, I calculate maximum zooms - the zoombox at minimum size and exactly in the center. Starting this expereriment I did not know the result but was positively surprised, more then once on the way to the deepest possible zoom, number twelve. This means the images should be watched in their predefined sequence ranging from 70 to 82. The next to final zooms 80 and 81 have an identical x-axis but the y-axis has been slightly altered as interesting alternatives turned up, so there are three images with number80 and two with number 81. Number 82 already shows bigger pixels as it is the deepest possible zoom. ; Any feedback is welcome, I also regard it as an encouragement to go on. ; https://www.cubbyusercontent.com/pl/MultifracArchive/_67536d81761949e592b93… ; Path: MultifracArchive/New/Newgif Images 70-82 Path: MultifracArchive/New/Newpar\NEW.PAR ; Albrecht Das Wort für Welt ist Wald

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PearlyGates 1024
by John Wilson 21 Jan '16

21 Jan '16

Another great Niekamp - JoTz collaboration. Thanks guys. John W.

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Re: [Fractint] <Albrecht> I´m asking myself is it makes any sense to go on...
by Harold Lane 21 Jan '16

21 Jan '16

----------- JoTz said: --------- > Please post to the group as I still do not have access: - Hal Lane ######################## # hallane(a)earthlink.net ######################## From: LLOYD GARRICK [mailto:lgarr@colorado-hiking.net] Sent: Wednesday, January 20, 2016 9:04 PM To: Harold Lane <hallane(a)earthlink.net>; Albrechtx_Multifract!!! <Multifrac(a)t-online.de>; Fractint and General Fractals Discussion <fractint(a)mailman.xmission.com> Subject: Re: [Fractint] <Albrecht> I´m asking myself is it makes any sense to go on... . Please post to the group as I still do not have access: Another Niekamp animation; both AVI: 400Meg http://www.fractal-animation.net/special/PearlyGates1024.zip 200Meg http://www.fractal-animation.net/special/PearlyGates640.zip Comments welcome. . --- This email has been checked for viruses by Avast antivirus software. https://www.avast.com/antivirus

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Re: [Fractint] Jazz - Unversal Fractal V2 (Phoenix Inside3)
by Albrecht Niekamp 21 Jan '16

21 Jan '16

Am 20.01.2016 um 14:45 schrieb LLOYD GARRICK: > do it for the joy of creating fantastic and unique art - and sharing > them online is only icing on the cake. Thanks for reminding me, sometimes I forget. I´m not doing this for the lurkers who are not willing to spend a few seconds for some kind of adknowledgement or dont think it´s necessary. Just like you I´m doing this for myself and to create a work of art. Dont forget, if a creation is finished it´s there and cannot be wiped away. It is stored on many thousand places all over the world, Google will find it and - who knows, maybe sometime somebody will detect and analyze what´s it´s all about and - -wow ! And I have to admit: that the last modification to the Universal Fractal has a dimension which I cannot fully understand: This addition, Phoenix, works as inside3 only, if inside2 Magnet is active, because an iteration reset has taken place. But if not something unpredictable happens and the hypercomplex Manymods and Secant parts - main and inside1 - are modified in a way that cannot be analyzed, because the iteration counter has stepped back to a low 68. But I planned it to be that way and the result is clear - this is by far the most complex fractal I have ever seen. Wait for something special, maybe tomorrow, now it´s 4 in the morning and time for slleping- ; Albrecht Das Wort für Welt ist Wald

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FW: Jazz - Unversal Fractal V2 (Phoenix Inside3)
by Harold Lane 21 Jan '16

21 Jan '16

----------- JoTz said: --------- > Please post to the group as I still do not have access: - Hal Lane ######################## # hallane(a)earthlink.net ######################## From: LLOYD GARRICK [mailto:lgarr@colorado-hiking.net] Sent: Wednesday, January 20, 2016 8:45 AM To: Harold Lane <hallane(a)earthlink.net>; Albrechtx_Multifract!!! <Multifrac(a)t-online.de>; Fractint and General Fractals Discussion <fractint(a)mailman.xmission.com> Subject: Re: [Fractint] Jazz - Unversal Fractal V2 (Phoenix Inside3) . Don't let it get you down! I don't get a world standing ovation when I post my animations, but so what! I do it for the joy of creating fantastic and unique art - and sharing them online is only icing on the cake. With that, stand by for the next Nikamp animation - to be uploaded today or tomorrow! Cheers. JoTz . --- This email has been checked for viruses by Avast antivirus software. https://www.avast.com/antivirus

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<Albrecht> I´m asking myself is it makes any sense to go on...
by Harold Lane 20 Jan '16

20 Jan '16

> I´m asking myself is it makes any sense to go on... Please continue to post your images. They are a welcome source of color and intricate, though-provoking shapes during these dreary winter months! Now that I have Factory Restored my computer, I hope to try DOSBOX fairly soon, and calculate some images based on yours, too. I know that there are others out there who are viewing your images -- in a more passive sort of way -- they're just not "jumping up and down" and celebrating them very loudly... - Hal Lane ######################## # hallane(a)earthlink.net ######################## -----Original Message----- From: Fractint [mailto:fractint-bounces@mailman.xmission.com] On Behalf Of Albrecht Niekamp Sent: Tuesday, January 19, 2016 5:32 PM To: Fractint and General Fractals Discussion <fractint(a)mailman.xmission.com> Subject: [Fractint] Jazz - Unversal Fractal V2 (Phoenix Inside3) Jazz - Unversal Fractal V2 (Phoenix Inside3) ; There has been hardly any response (except Hal) this year so far and I´m asking myself is it makes any sense to go on (not for the first time). Some time ago Jim (has anyone heard from him ??) performed a survey to find out if there is still some interest. The response was not so bad but he did not return anyway. Now I´m asking you to mail a short note again in order to decide. Thank you! ; The UF V2 has gained a lot more complexity compared to the first version. It is almost impossible to find a spot without zooming adventures, so it´s hard to decide where to stop. Featured today are 5 Images (out of 50 sofar), and the diversity is amazing. Which one is your favorite ? ; ; https://www.cubbyusercontent.com/pl/MultifracArchive/_67536d81761949e592b93… ; Path: MultifracArchive/New/Newgif Image 65-69 Path: MultifracArchive/New/Newpar\NEW.PAR ; Albrecht Das Wort für Welt ist Wald _______________________________________________ Fractint mailing list Fractint(a)mailman.xmission.com https://mailman.xmission.com/cgi-bin/mailman/listinfo/fractint --- This email has been checked for viruses by Avast antivirus software. https://www.avast.com/antivirus

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Jazz - Unversal Fractal V2 (Phoenix Inside3)
by Albrecht Niekamp 20 Jan '16

20 Jan '16

Jazz - Unversal Fractal V2 (Phoenix Inside3) ; There has been hardly any response (except Hal) this year so far and I´m asking myself is it makes any sense to go on (not for the first time). Some time ago Jim (has anyone heard from him ??) performed a survey to find out if there is still some interest. The response was not so bad but he did not return anyway. Now I´m asking you to mail a short note again in order to decide. Thank you! ; The UF V2 has gained a lot more complexity compared to the first version. It is almost impossible to find a spot without zooming adventures, so it´s hard to decide where to stop. Featured today are 5 Images (out of 50 sofar), and the diversity is amazing. Which one is your favorite ? ; ; https://www.cubbyusercontent.com/pl/MultifracArchive/_67536d81761949e592b93… ; Path: MultifracArchive/New/Newgif Image 65-69 Path: MultifracArchive/New/Newpar\NEW.PAR ; Albrecht Das Wort für Welt ist Wald

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The Cavern
by Albrecht Niekamp 12 Jan '16

12 Jan '16

The Cavern ; Another oldie modification from 2002 using S.Gallet´s lake effect. ; https://www.cubbyusercontent.com/pl/MultifracArchive/_67536d81761949e592b93… ; Path: MultifracArchive/New/Newgif Image 64 Path: MultifracArchive/New/Newpar\NEW.PAR ; Albrecht Das Wort für Welt ist Wald

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Newton Circles
by Albrecht Niekamp 11 Jan '16

11 Jan '16

Rebirth ; This is an image from 10 years ago, one of my alltime favorites, created with the first MFR_10 version. I never managed to recreate it with later versions, so here is the original again in a 16/9 aspect at 1280/1024, in addition a subtle modification, maybe you have an idea what I did to it. ; https://www.cubbyusercontent.com/pl/MultifracArchive/_67536d81761949e592b93… ; Path: MultifracArchive/New/Newgif Image 61 Path: MultifracArchive/New/Newpar\NEW.PAR ; Albrecht

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Re: [Fractint] Tedious formula
by Hal Lane 11 Jan '16

11 Jan '16

---------- JoTz wrote: ---------- > As I'm having a slight problem with the email to this group , I > I shall attempt to send to you. I interpret this to mean that I should post this to the [Fractint] list. Done. I have some concern about the email systems and / or list serve software involved reformatting the layout of the text... I don't think I've seen characters thrown away -- just lines re-formatted so they become less easy to read. Re what JoTz's equations are modeling: > The circuit [simulation] supposedly generates a > rectified sine wave [over time]; > . . . > The equation is a second order , very stiff > non linear differential equation... - Hal Lane ######################## # hallane(a)earthlink.net ######################## From: sciwise(a)ihug.co.nz [mailto:sciwise@ihug.co.nz] Sent: Sunday, January 10, 2016 10:15 PM To: Hal Lane <hallane(a)earthlink.net> Subject: RE: [Fractint] Tedious formula Hi Hal, As I'm having a slight problem with the email to this group , I I shall attempt to send to you. I might be able to replace the exp with temp*temp. To be really accurate exp() is what's used , however to get a general idea as to what's going on your recommendation has merit. I tried setting the initial (x,y) to (0,0) , I managed to get a few more iterations , however the overflow problems remain. Setting (p,h) to a small value provides a few more iterations, however the output isn't quite what I expected ; I may need to use a circuit simulator , like TopSpice to determine what the output is meant to look like. The equation is a second order , very stiff non linear differential equation , I haven't been able to find an analytical solution to this upon the internet. You're right about the reuse of x and y , however the first (x,y) values are outside the main loop also this type of coding isn't different from the Volterra Lotka formula file that comes standard with Fractint. I'm fairly certain that alteration of (x,y) within the main loop is correct. Nevertheless I shall try your recommendation. The q value is reused , within the main loop , however I'm not expecting any difficulty in doing so ; however I can also change that. The variable t1 is an independent time variable , used when calculating the value of sin() ; the input function. I'm now pondering how I might do a two loop iteration within Fractint ; can't figure out how it might be done. The circuit supposedly generates a rectified sine wave ; however I really need to look at the circuit simulator results. This is all a bit of a jigsaw puzzle. I'm including my formula file for the diode model as this illustrates how I dealt with the exp() term in a simpler instance. ======== START PARAMETER FILE======================================= Diode { reset=1821 type=formula formulafile=c:\winf1821\alndgh.frm formulaname=LnDioGH corners=-0.16588419/0.25978091/-0.15031315/0.1691023 float=y maxiter=512 logmap=yes colors=00000j0j0jj0j00j0j0jjkkkkrkdmwW000W0WW000WW0W0WWFNF<5>zNFFVF<5>zV\ FFbF<5>zbFFjF<5>zjFFrF<5>zrFFzF<5>zzFFFN<5>zFNFNN<5>zNNFVN<5>zVNFbN<5>zb\ NFjN<5>zjNFrN<5>zrNFzN<5>zzNFFV<5>zFVFNV<5>zNVFVV<5>zVVFbV<5>zbVFjV<5>zj\ VFrV<5>zrVFzV<5>zzVFFb<5>zFbFNb<5>zNbFVb<5>zVbFbb<5>zbbFjb<5>zjbFrb<5>zr\ bFzb<5>zzbFFj<5>zFjFNj<5>zNjFVj<5>zVjFbj<5>zbjFjj<5>zjjFrj<4>rrjzywccdWW\ Wz000z0zz000zz0z0zzzzz } comment { From : sciwise(a)ihug.co.nz July 2009 copyright c 2009 This is a model of a diode , as an electronic component . It utilizes Newton's method to solve a non-linear equation ; known as the ideal diode or Shockley equation . The very basic form of this equation is : i = Ids*(exp(Vs/(n*Vt))-1) where , Q = 1.6*(10^-19) Electronic Charge . K = 1.38*(10^-23) Boltzman's constant . T = Absolute Temperature , in Kelvins . T = 273 [K] + degreesC For degreesC = 25 , Vt ~= 0.025 [v] Ids = Saturation current . Vs = Applied , source , voltage . n = Ideality factor = ( 1 to 2 ) . Vt = K * T / Q Thermionic Voltage . A more realistic model of a diode will include the finite ohmic resistance of the leads . A parallel conductance is also modeled , as this speeds the convergence of Newton's method . Therefore the circuit we're modelling looks like this . i --> ----------------------------, ' | | -------------------, | | .---. Vs - D --- | | Gm --- /_\ |___| | |__________________| | | | .---. | | | Rs | |___| '----------------------------' Where D is represented by the ideal diode equation . Now the total current , i , flowing through this circuit is : i = Ids*(exp((Vs-i*Rs)/(n*Vt))-1) + Gm*(Vs-i*Rs) This equation needs to be solved in terms of i and be put in a form that can be readily and accurately solved through Newton's method . The steps involved are : 1) Let log(x) = (Vs-i*Rs)/(n*Vt) 2) Solve log(x) = (Vs-i*Rs)/(n*Vt) in terms of i . i = -(n*Vt*log(x)-Vs)/Rs 3) Substitute the expression for i , from (2) into i = Ids*(exp((Vs-i*Rs)/(n*Vt))-1) + Gm*(Vs-i*Rs) -(n*Vt*log(x)-Vs)/Rs = Ids*(x-1) + Gm*(Vs--((n*Vt*log(x)-Vs)/Rs)*Rs) -(n*Vt*log(x)-Vs)/Rs = Ids*(x-1) + Gm*((n*Vt*log(x)/Rs)*Rs) (Vs-n*Vt*log(x))/Rs = Ids*(x-1) + Gm*(n*Vt*log(x)) 4) Solve (3) for x , x = -((Gm*n*Rs*Vt+n*Vt)*log(x)-Vs-Is*Rs)/(Is*Rs),Is*Rs,1); 5) Find the derivative of (4) in terms of x . 1 = -(Gm*n*Rs*Vt+n*Vt)/(Is*Rs*x) 6) Now Newton's iteration formula is : x = x - f(x) / f '(x) , where f '(x) == d f(x) / dx . 7) For this example : f(x) = x = -((Gm*n*Rs*Vt+n*Vt)*log(x)-Vs-Is*Rs)/(Is*Rs),Is*Rs,1) and f '(x) = 1 = -(Gm*n*Rs*Vt+n*Vt)/(Is*Rs*x) 8) Therefore Newton's iteration formula for this example is : x = x - ( -((Gm*n*Rs*Vt+n*Vt)*log(x)-Vs-Is*Rs)/(Is*Rs),Is*Rs,1) - x )/( -(Gm*n*Rs*Vt+n*Vt)/(Is*Rs*x)-1) 9) Simplifying (8) x = x -( (-Ids*Rs-Vs)*x + Ids*Rs*x*x + (n+Gm*n*Rs)*Vt*x*log(x) ) / ( (n + Gm*n*Rs)*Vt+Ids*Rs*x ) Substitute u = Gm*n*Rs*Vt+n*Vt vr = Ids*Rs x = x-( -(Vs+vr)*x + vr*x*x + u*x*log(x) )/(vr*x+u)) In this logarithmic format overflow , and possibly underflow , is avoided . 10 ) We need to be able to convert x back to i , to do this we use the inverse of the original substitution : log(x) = (Vs-i*Rs)/(n*Vt) Solving for i , i = - ( log(x)*(n*Vt) - Vs ) / Rs Substitute Pt = n*Vt i = - ( log(x)*Pt - Vs ) / Rs Between successive iterations of Newton's formula the previous value of i is compared with the present, if the absolute difference is less than a predefined tolerance , Pd , then the iteration stops . Vs is a complex voltage source , possibly equivalent to a multi phase voltage source . This is a basic diode model and doesn't include the effects of diode junction capacitance . For small voltages a purely exponential representation of the diode model may converge quicker than the logarithmic and still remain accurate . The logarithmic model has been implemented as a BASIC language program and compared with data from a SPICE simulation , for a real voltage source , there is good agreement . For a Complex voltage source , the few samples generated from the BASIC program are in good agreement with those from MAXIMA CAS . } frm:LnDioGH{ ; ; ; Complex Voltage - Complex Current ; Diode Characteristics . ; ; for 1N4148 silicon type . ; Level 1 model . ; ; at 25 degrees C ; ; Pd = (10^(-13)), Gm = 9.4*(10^(-13)), Ids = 2.52*(10^(-09)), Rs = 0.968, n = 1.752, Vt = 0.025, u = Gm*n*Rs*Vt+n*Vt, Pt = n*Vt, vr = Ids*Rs, Vs = Pixel, x = (0.1,0), x = x-((u*x*log(x)+vr*x*x-(Vs+vr)*x)/(vr*x+u)), y = -(Pt*log(x)-Vs)/Rs, tol = (1,0): u = y; x = x-((u*x*log(x)+vr*x*x-(Vs+vr)*x)/(vr*x+u)); y = -(Pt*log(x)-Vs)/Rs, tol = |u-y|, tol > Pd } comment { The floating point option needs to be selected , 512 iterations , or more , should be selected . Also a logarithmic palette . Minibrot structures aren't immediately apparent at the default parameter settings . A parameter setting of : xmin - 0.005770310598 xmax - 0.005666943901 ymin 0.000516417395 ymax 0.000594104392 shows embedded minibrots and spirals , weather this is relevant in a real diode is unknown . You might be able to locate minibrots elsewhere on the map . } ========END PARAMETER FILE================== ---------------------------------------------------------------------- On 10/01/2016 17:08, Hal Lane wrote: ---------------------------------------------------------------------- > Your tidy up is good... Thanks. > ...I'm using maxima cas... Very good! Here are a few more wild and crazy debugging ideas: [exp] grows quite large after one or two iterations... Here's an odd idea. Could you temporarily replace the exp with a function that doesn't grow so quickly -- just to get some results to look at? Perhaps a power? So, instead of: q = exp( s*a1*x ) you could try something like: temp = s*a1*x q = temp * temp or: temp = s*a1*x q = temp * temp * temp * temp q would then grow (or shrink for "temp" values less than one,) but not in such a violent way. Using even numbers of "temp" multiplied together always makes its sign always be positive -- like the result of an exp(). What does the physics of the RLC circuit say about the use of the exp() ? I'm also wondering if the initial x and y are meant to be 0 and 0 and v = (x,y) . That's certainly easy to try -- but the significance of doing this ought to be thought about, as well. Here's an odd observation -- x and y get used for two different purposes: z = pixel x = real(z) y = imag(z) and also: c = x+h*(u+b) d = y + h*(w + s*a1*b*b + s*b2*q*b + s*b3*b + b2*q*v + b1*q + s*b1) x = c y = d z = x*x + y*y Might the 2nd place where x and y are used need to be xtemp and ytemp? It looks like the values of x and y possibly needing to be constant during the calculation of a pixel might be getting compromised by their reuse -- unless that re-usage is intentional, Also, I note that q is used in two different calculations: This re-usage may or may not be intentional... q = exp(s*a1*x ) . . . q = exp(s*a1*a ) Note that the color map could be useful for debugging when you get to the stage where you're looking at resultant images. Perhaps you could have a map that has big color changes in adjacent lower values to be able to better see what is going on in the initial iterations. Is the image supposed to somehow visually depict the ringing of a diode-clamped RLC circuit? - Hal Lane ######################## # hallane(a)earthlink.net ######################## ------------------------Original Message------------------------ From: Fractint [mailto:fractint-bounces@mailman.xmission.com] On Behalf Of sciwise(a)ihug.co.nz Sent: Saturday, January 9, 2016 5:50 PM To: Fractint and General Fractals Discussion <fractint(a)mailman.xmission.com> Subject: Re: [Fractint] Tedious formula ------------------------------------------------------------------------- Your tidy up is good , for some reason I was having difficulty with negative exponents. Presently I'm using maxima cas to look at the values that exp(q) takes , and indeed it grows quite large after one or two iterations; to such an extent that maxima runs out of digits when printing. Without going into the details of the underlying equations , I encountered a similar difficulty a number of years ago when I wrote LnDioGH.frm ; do a web search you should be able to find the code. I'm also wondering if the initial x and y are meant to be 0 and 0 and v = (x,y) . ============================================= On 10/01/2016 03:52, Jonathan Osuch wrote: On Sat, 2016-01-09 at 16:28 +1300, sciwise(a)ihug.co.nz [1]wrote: ============================================= Difficulties remain , however this is a slightly improved version. For some reason the loop is exited after the first iteration ; I'm starting to think that the exponential function exp(q) might be the cause. It depends upon what you are trying to iterate during each loop. Take a look at the following. I cleaned up the code a little, but it still doesn't work. DiodeRLC float=y { f = 1/real(p1) z = pixel x = real(z) y = imag(z) p = 0.39757 h = 0.71743 s = -1 R = 1 L =0.001 C1 = 10^(-6) KT = ((1.3806485279) * 10^(-23)) * 270 twopi = 2 * pi q1 = (1.602176620898) * 10^(-19) Id = 10^(-12) a1 = q1/(KT) b1 = (KT)/(q1*C1*L) b2 = (KT)/(Id*q1*L) b3 = R/L t1 = 0 : v = 100*sin(twopi*t1) q = exp( s*a1*x ) u = y w = s*a1*y*y + s*b2*q*y + s*b3*y + b2*q*v + b1*q + s*b1 a = x+p*u b = y+p*w q = exp( s*a1*a ) c = x+h*(u+b) d = y + h*(w + s*a1*b*b + s*b2*q*b + s*b3*b + b2*q*v + b1*q + s*b1) x = c y = d t1 = t1 + f z = x*x + y*y t1 < maxit ; loops until t1 is >= maxit } Jonathan Links: ------ [1] mailto:sciwise@ihug.co.nz [2] mailto:Fractint@mailman.xmission.com [3] https://mailman.xmission.com/cgi-bin/mailman/listinfo/fractint _______________________________________________ Fractint mailing list Fractint(a)mailman.xmission.com https://mailman.xmission.com/cgi-bin/mailman/listinfo/fractint --- This email has been checked for viruses by Avast antivirus software. https://www.avast.com/antivirus --- --- This email has been checked for viruses by Avast antivirus software. https://www.avast.com/antivirus

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FW: Bemmsemaph
by Hal Lane 11 Jan '16

11 Jan '16

-------------- JoTz said: ----------- > Please post to the list server. Done. Please see JoTz comments and link below. - Hal Lane ######################## # hallane(a)earthlink.net ######################## From: LLOYD GARRICK [mailto:lgarr@colorado-hiking.net] Sent: Sunday, January 10, 2016 1:04 PM To: Hal Lane <hallane(a)earthlink.net>; Albrechtx_Multifract!!! <Multifrac(a)t-online.de>; Fractint and General Fractals Discussion <fractint(a)mailman.xmission.com> Subject: Re: [Fractint] Bemmsemaph Here is all of Niekamp's images in the "new.par" rendered at 1024x768 for all who want but still have trouble running fractint [I guess noone had much success with my FractintOS? :( ]: http://www.fractal-animation.net/an.zip it's about 18Meg, 59 images . Please post to the list server ------------------- On January 9, 2016 at 9:24 PM ------------------ -------------------Hal Lane <hallane(a)earthlink.net> wrote: ----- Albrecht, this series (58, 59, 60) is a nice balance of detail vs larger structure on multiple size scales. Nice colors, too. 59 and 60 have striking, unusual large scale features. 58 is a more familiar overall "Medusa-like" shape, but set in an unusually-detailed background. In 59, the dark gold colors next to the greens is very pleasant. To me, the bold, arched legs in 60 are very commanding. Green and gold together are (again) pleasant. - Hal Lane ######################## # hallane(a)earthlink.net ######################## ----Original Message----- From: Fractint [mailto:fractint-bounces@mailman.xmission.com] On Behalf Of Albrecht Niekamp Sent: Saturday, January 9, 2016 5:42 PM To: Fractint and General Fractals Discussion <fractint(a)mailman.xmission.com> Subject: [Fractint] Bemmsemaph Bemmsemaph ; The is the next step to more complextity: Inside3 has been changed from Newton to Phoenix, my nonsymmetrical version with P1 input, not used sofar. This version of the Universal Fractal also contains a mandel- not the minibrot -, due to Phoenix, with all it´s complexity. ; https://www.cubbyusercontent.com/pl/MultifracArchive/_67536d81761949e592b93… ; Path: MultifracArchive/New/Newgif Images 58, 59, 60 Path: MultifracArchive/New/Newpar\NEW.PAR ; Albrecht Das Wort für Welt ist Wald _______________________________________________ Fractint mailing list Fractint(a)mailman.xmission.com https://mailman.xmission.com/cgi-bin/mailman/listinfo/fractint --- --- This email has been checked for viruses by Avast antivirus software. https://www.avast.com/antivirus

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Rebirth 2
by Albrecht Niekamp 10 Jan '16

10 Jan '16

Rebirth 2 ; I added a "spacy" version. Check it out. https://www.cubbyusercontent.com/pl/MultifracArchive/_67536d81761949e592b93… ; Path: MultifracArchive/New/Newgif Image 62 Path: MultifracArchive/New/Newpar\NEW.PAR ; Albrecht

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Tedious formula
by sciwise＠ihug.co.nz 10 Jan '16

10 Jan '16

I'm attempting to construct a formula . However there's something amiss ; hence I'm seeking some help on this from the group. This is the formula : comment{ Series Circuit . (c) copyright 2016 sciwise(a)ihug.co.nz Edward.Q.Montague } DiodeRLC { f = 1/real(p1) z = pixel x = real(z) y = imag(z) p = 0.039757 h = 0.071743 s = -1 R = 1 L =0.001 C = 10^6 C = 1/C K = 10^23 K = (1.3806485279)/K twopi = 6.283185307179586 T = 270 q = 10^19 q = (1.602176620898)/q Id = 10^12 Id = 1/Id a1 = q/(K*T) b1 = (K*T)/(q*C*L) b2 = (K*T)/(Id*q*L) b3 = R/L t1 = 0: v = twopi*t1 v = 100*sin(w) q = s*a1*x q = exp( q ) u = y w = s*a1*y*y + s*b2*q*y + s*b3*y + b2*q*w + b1*q + s*b1 a = x+p*u b = y+p*w q = s*a1*a q = exp( q ) c = x+h*(u+b) d = y + h*(w + s*a1*b*b + s*b2*q*b + s*b3*b + b2*q*v + b1*q + s*b1) x = c y = d t1 = t1 + f z = x+flip(y) |y|

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Bemmsemaph
by Albrecht Niekamp 10 Jan '16

10 Jan '16

Bemmsemaph ; The is the next step to more complextity: Inside3 has been changed from Newton to Phoenix, my nonsymmetrical version with P1 input, not used sofar. This version of the Universal Fractal also contains a mandel- not the minibrot -, due to Phoenix, with all it´s complexity. ; https://www.cubbyusercontent.com/pl/MultifracArchive/_67536d81761949e592b93… ; Path: MultifracArchive/New/Newgif Images 58, 59, 60 Path: MultifracArchive/New/Newpar\NEW.PAR ; Albrecht Das Wort für Welt ist Wald

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Hold Tight
by Albrecht Niekamp 09 Jan '16

09 Jan '16

Hold Tight ! ; https://www.cubbyusercontent.com/pl/MultifracArchive/_67536d81761949e592b93… ; Path: MultifracArchive/New/Newgif Image 56 Path: MultifracArchive/New/Newpar\NEW.PAR ; Albrecht Das Wort für Welt ist Wald

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FW: Another hi-res fractal zoom animation by JoTz - LampOfAges1024
by Hal Lane 08 Jan '16

08 Jan '16

------- JoTz said: ------- > Here's another [hi-res fractal zoom animation based on > a fractal by] Albrecht Niekamp... > Please post to the list as I still do not have access. Done. The link to JoTz's animation is in his forwarded email below. After 400 MB of the 450 MB had downloaded, I had a "Network error" during my 1st download try... 2nd download try failed after 304 MB was downloaded... 3rd download try failed after 17 MB was downloaded... 4th try got: "This webpage is not available." 5th try got 122 MB and then failed. The network system seems to wait 4 or 5 minutes after the download stalls before it declares that the download has failed. News article pages from a variety of sources were downloading fine at the time. I'll try again tomorrow when the "inter-tubes" are more stable. - Hal Lane ######################## # hallane(a)earthlink.net ######################## From: LLOYD GARRICK [mailto:lgarr@colorado-hiking.net] Sent: Thursday, January 7, 2016 9:42 PM To: Hal Lane <hallane(a)earthlink.net> Subject: Re: FW: [Fractint] Check out this recent hi-res fractal zoom animation by JoTz Here's another Albrecht Niekamp, a recent one I think it was called "Magnetic" or something: http://www.fractal-animation.net/special/LampOfAges1024.zip The detail in this fractal is amazing. About 480Meg download, like the other one. Please post to the list as I still do not have access. --- --- This email has been checked for viruses by Avast antivirus software. https://www.avast.com/antivirus

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The Center of the Universe - Maximum Zoom
by Albrecht Niekamp 07 Jan '16

07 Jan '16

The Center of the Universe - Maximum Zoom ; I will not try to explain what´s happening here - only that in the center of this fractal more zooms are possible just because the calculation needs less digits. Maybe Jonathan can analyze the result. Possibly the "metaphysical" dimension only has a non mathematic source. ; https://www.cubbyusercontent.com/pl/MultifracArchive/_67536d81761949e592b93… ; Path: MultifracArchive/New/Newgif Image 55 Path: MultifracArchive/New/Newpar\NEW.PAR ; Albrecht Das Wort für Welt ist Wald

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Re: [Fractint] The Center of the Universe
by David Jones 07 Jan '16

07 Jan '16

And here's the printer to do it with: a 3D color desktop printer that prints 4800x2400 color on paper, then uses razors & glue to assemble the results: http://www.bbc.com/news/technology-35247318 David W. Jones gnome(a)hawaii.rr.com authenticity, honesty, community http://dancingtreefrog.comOn Jan 7, 2016 08:18, Hal Lane <hallane(a)earthlink.net> wrote: > > Albrecht, > Your "Center of the Universe" has a very pleasing range of detail > on many scales. The center of the "universe" almost demands > further investigation -- as I guess the real universe should have > that also. > > Your Paul Carlson-like color map really gives your fractal's features > a "solid" feel, as if they could be duplicated in a 3D printer as a > real object and put on the mantelpiece over a fireplace for display. > > - Hal Lane > > ######################## > # hallane(a)earthlink.net > ######################## > > -----Original Message----- > From: Fractint [mailto:fractint-bounces@mailman.xmission.com] On Behalf Of Albrecht Niekamp > Sent: Thursday, January 7, 2016 12:23 PM > To: Fractint and General Fractals Discussion <fractint(a)mailman.xmission.com> > > Subject: [Fractint] The Center of the Universe > > The Center of the Universe > ; > Thank you Hal for your nice comments, > you know how to encourage me to go on > with the exploration of the "Universal > Fractal". > This one needs a comment: > It´s a straight zoom into the center of > the middle parent view, which has been > avoided sofar. > The precise center! No modifications > whatsoever were applied, also the colors are the original Albrecht.map. > The complexity of the details is unbelievable, who knows what can be found here. > ; > https://www.cubbyusercontent.com/pl/MultifracArchive/_67536d81761949e592b93… > ; > Path: MultifracArchive/New/Newgif > Image 54 > Path: MultifracArchive/New/Newpar\NEW.PAR > ; > Albrecht > Das Wort für Welt ist Wald > _______________________________________________ > Fractint mailing list > Fractint(a)mailman.xmission.com > https://mailman.xmission.com/cgi-bin/mailman/listinfo/fractint > > --- > This email has been checked for viruses by Avast antivirus software. > https://www.avast.com/antivirus > > _______________________________________________ > Fractint mailing list > Fractint(a)mailman.xmission.com > https://mailman.xmission.com/cgi-bin/mailman/listinfo/fractint

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The Center of the Universe
by Albrecht Niekamp 07 Jan '16

07 Jan '16

The Center of the Universe ; Thank you Hal for your nice comments, you know how to encourage me to go on with the exploration of the "Universal Fractal". This one needs a comment: It´s a straight zoom into the center of the middle parent view, which has been avoided sofar. The precise center! No modifications whatsoever were applied, also the colors are the original Albrecht.map. The complexity of the details is unbelievable, who knows what can be found here. ; https://www.cubbyusercontent.com/pl/MultifracArchive/_67536d81761949e592b93… ; Path: MultifracArchive/New/Newgif Image 54 Path: MultifracArchive/New/Newpar\NEW.PAR ; Albrecht Das Wort für Welt ist Wald

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The Final Frontier
by Albrecht Niekamp 07 Jan '16

07 Jan '16

The Final Frontier ; A zoom into yesterday´s image "Planet of the Gates" ; https://www.cubbyusercontent.com/pl/MultifracArchive/_67536d81761949e592b93… ; Path: MultifracArchive/New/Newgif Image 53 Path: MultifracArchive/New/Newpar\NEW.PAR ; Albrecht Das Wort für Welt ist Wald

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The Planet of the Gated
by Albrecht Niekamp 06 Jan '16

06 Jan '16

The Planet of the Gates ; Watch out ! ; https://www.cubbyusercontent.com/pl/MultifracArchive/_67536d81761949e592b93… ; Path: MultifracArchive/New/Newgif Image 52 Path: MultifracArchive/New/Newpar\NEW.PAR ; Albrecht Das Wort für Welt ist Wald

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The Microscopic Dimension
by Albrecht Niekamp 06 Jan '16

06 Jan '16

The Microscopic Dimension ; New complexiry with deep zooning ; https://www.cubbyusercontent.com/pl/MultifracArchive/_67536d81761949e592b93… ; Path: MultifracArchive/New/Newgif Image 51 Path: MultifracArchive/New/Newpar\NEW.PAR ; Albrecht Das Wort für Welt ist Wald

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Bouquet
by Albrecht Niekamp 06 Jan '16

06 Jan '16

Bouquet ; The last zoom into the Universal Fractal (?); ; https://www.cubbyusercontent.com/pl/MultifracArchive/_67536d81761949e592b93… ; Path: MultifracArchive/New/Newgif Image 50 Path: MultifracArchive/New/Newpar\NEW.PAR ; Albrecht Das Wort für Welt ist Wald

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Check out this recent hi-res fractal zoom animation by JoTz
by Hal Lane 05 Jan '16

05 Jan '16

JoTz also sent me a link to a recent high resolution fractal zoom animation of his. It's a nice one. Info & link forwarded below. I told JoTz: --------------------------------------------------- I like the hi resolution. This particular fractal (a very nice one) has fine detail in almost every frame of the video, which leads to the continuous scintillation of pixels strobing in and out of existence as tiny fractal features get sampled at slightly different zoom factors. Even Disney's Tron movie has this artifact! Even tho I'm intellectually offended by strobing pixels, you've made them so small that they turn into a gentle shimmering that's not as personally burdensome. At some places in your animation, the scintillating pixels evoke atoms vibrating around their fixed locations, especially at 1/4 speed… ----------------------------------------------------- - Hal Lane ######################## # hallane(a)earthlink.net ######################## From: LLOYD GARRICK [mailto:lgarr@colorado-hiking.net] Sent: Monday, December 28, 2015 4:00 PM To: Hal Lane <hallane(a)earthlink.net>; Albrechtx_Multifract!!! <Multifrac(a)t-online.de>; Fractint and General Fractals Discussion <fractint(a)mailman.xmission.com> Subject: Re: [Fractint] Fractint Operating System . . . BTW, if you have time or motivation, checkout this: http://www.fractal-animation.net/special/StarWarp1024.zip It is a 434Meg file, full 1024x768 AVI hi-res of one of my best recent viddies. I am experimenting with uploading hi-rez files now, since most people have good hi-speed connections now. It takes a long time to UPload, but I test DOWNloaded it - only 7 minutes! [It took me 6 min. 45 sec. to download. -Hal] I need feedback. --- --- This email has been checked for viruses by Avast antivirus software. https://www.avast.com/antivirus

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LLOYD GARRICK's Hi res fractal zoom.
by John Wilson 05 Jan '16

05 Jan '16

On December 29th JoTz sent Hal Lane a high resolution fractal zoom animation: http://www.fractal-animation.net/special/StarWarp1024.zip Feedback was requested. Now being a fan of JoTz I tried to examine this file, with zero success. All I could get out of it was two pieces of eerie music and a black screen... in both my Chromebook and my WIN 10 machines. Even resorting to VLC player. Shame, Hals coverage sounds interesting. John W.

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The Western World
by Albrecht Niekamp 05 Jan '16

05 Jan '16

The Western World ; Three zooms into the western part of the parent views. Not quite as spectecular so far, but who knows which treasures are still hidden. Think I will go on exploring as the Universal Fractal contains an infinite amount. ; https://www.cubbyusercontent.com/pl/MultifracArchive/_67536d81761949e592b93… ; Path: MultifracArchive/New/Newgif Images nr.47, 48, 49 Path: MultifracArchive/New/Newpar\NEW.PAR ; Albrecht Das Wort für Welt ist Wald

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Re: [Fractint] The Universal Fractal (PDM)
by Hal Lane 04 Jan '16

04 Jan '16

> I will definetely give it [arbitrary precision] a try but > the problem is the Fractint memory. You are likely right, as different code is likely to be loaded to do the arbitrary precision -- and it may take more memory. However, Fractint's code is organized as "overlays," where unused code (not formulas) is overwritten by code that is in use. If Fractint's floating point code is overwritten by the arbitrary precision code & they're the same size overlay, you might be OK. Please let me know what you find! - Hal ######################## # hallane(a)earthlink.net ######################## From: Albrecht Niekamp [mailto:multifrac@t-online.de] Sent: Sunday, January 3, 2016 1:44 PM To: Hal Lane <hallane(a)earthlink.net> Subject: Re: [Fractint] The Universal Fractal (PDM) Am 03.01.2016 um 17:18 schrieb Hal Lane: >Do I understand correctly that your four images: nr.43, 44, 45,46 are all >zooms into different places in the *same* parent fractal Yes ! >If you were a glutton for punishment, I think you could zoom deeper if you >used arbitrary precision. This setting: Can you read my mind ? Have been thinking about this but uncertain whom to ask. I will definetely give it a try but the problem is the Fractint memory. It has reached it´s limits with MFR:_14_2, as you know. Albrecht --- This email has been checked for viruses by Avast antivirus software. https://www.avast.com/antivirus

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Re: [Fractint] The Universal Fractal (PDM)
by Albrecht Niekamp 03 Jan '16

03 Jan '16

> > > Am 03.01.2016 um 17:18 schrieb Hal Lane: >> Do I understand correctly that your four images: nr.43, 44, 45,46 are all >> zooms into different places in the*same* parent fracta > Yes ! >> If you were a glutton for punishment, I think you could zoom deeper if you >> used arbitrary precision. This setting: > Can you read my mind ? > Have been thinking about this but uncertain whom to ask. > I will definetely give it a try but the problem is the Fractint > memory. It has reached itÂ´s limits with MFR:_14_2, as you > know. > Albrecht >

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Re: [Fractint] The Universal Fractal (PDM)
by Hal Lane 03 Jan '16

03 Jan '16

Albrecht, Do I understand correctly that your four images: nr.43, 44, 45,46 are all zooms into different places in the *same* parent fractal? If so -- wow! > What is Your favorite [image]? 45 & 46 are my favorites, but I like them all -- they all appear to have great possibilities for revealing further interesting patterns. > The last one is ... a maximum zoom - no deeper exploring is possible. I see that its magnification is: 3. 0e+011 If you were a glutton for punishment, I think you could zoom deeper if you used arbitrary precision. This setting: MATHTOLERANCE=-1.0/-1.0 might force arbitrary precision and allow deeper zooms -- but at much slower calculation speeds: I can't try the following test right now -- could you verify if this works for your image nr. 46? (Your last fractal looks like it was a fast one: 1:55.) If you do try this, I would recommend: - Select the smallest resolution possible (320x240 256 colors), This is to calculate as few pixels as possible -- to save time during the slow arbitrary precision zoom test. - 1st create image #46 in low resolution with your unchanged formula, then - Type the letter "g" to give a command string, then - Type: MATHTOLERANCE=-1.0/-1.0 and Enter. Your fractal may or may not calculate again with arbitrary precision. - A) If it recalculates -- when you see enough of your fractal to zoom into it, try a large amount of zoom to see if this test works. - B) If it does *not* recalculate -- just try a large amount of zoom. - Hal Lane ######################## # hallane(a)earthlink.net ####################### -----Original Message----- From: Fractint [mailto:fractint-bounces@mailman.xmission.com] On Behalf Of Albrecht Niekamp Sent: Sunday, January 3, 2016 9:55 AM To: Fractint and General Fractals Discussion <fractint(a)mailman.xmission.com> Subject: [Fractint] The Universal Fractal (PDM) The Universal Fractal ; What have I done? The complexity of this fractal is infinite, so it seems. Told you, there are about 20 different parent views. Each one with it´s own character, so the title seems justified. It not only contains Mandel parts, that´s normal for a complex fractal, but also Julia type parts, irregular parts and fractal parts I cannot identify, because they combine the other ingredients. The last one is of that type - a maximum zoom - no deeper exploring is possible. ; So today there are no less then 4 images because I felt they somehow belong together. What is Your favorite? ; https://www.cubbyusercontent.com/pl/MultifracArchive/_67536d81761949e592b93… ; Path: MultifracArchive/New/Newgif Images nr.43, 44, 45,46 Path: MultifracArchive/New/Newpar\NEW.PAR ; Albrecht Das Wort für Welt ist Wald ; As the beloved Thunderbird has completely corrupted my message - repeated here _______________________________________________ Fractint mailing list Fractint(a)mailman.xmission.com https://mailman.xmission.com/cgi-bin/mailman/listinfo/fractint --- This email has been checked for viruses by Avast antivirus software. https://www.avast.com/antivirus

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(Fractint] The Universal Fractal (PDM)
by Albrecht Niekamp 03 Jan '16

03 Jan '16

The Universal Fractal ; What have I done? The complexity of this fractal is infinite, so it seems. Told you, there are about 20 different parent views. Each one with it´s own character, so the title seems justified. It not only contains Mandel parts, that´s normal for a complex fractal, but also Julia type parts, irregular parts and fractal parts I cannot identify, because they combine the other ingredients. The last one is of that type - a maximum zoom - no deeper exploring is possible. ; So today there are no less then 4 images because I felt they somehow belong together. What is Your favorite? ; https://www.cubbyusercontent.com/pl/MultifracArchive/_67536d81761949e592b93… ; Path: MultifracArchive/New/Newgif Images nr.43, 44, 45,46 Path: MultifracArchive/New/Newpar\NEW.PAR ; Albrecht Das Wort für Welt ist Wald ; As the beloved Thunderbird has completely corrupted my message - repeated here

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The Universal Fractal
by Albrecht Niekamp 03 Jan '16

03 Jan '16

The Universal Fractal ; What have I done? The complexity of this fractal is infinite, so it seems. Told you, there are about 20 different parent views. Each one with it´s own character, so the title seems justified. It not only contains Mandel parts, that´s normal for a complex fractal, but also Julia type parts, irregular parts and fractal parts I cannot identify, because they combine the other ingredients. The last one is of that type - a maximum zoom - no deeper exploring is possible. ; So today there are no less then 4 images because I felt they somehow belong together. What is Your favorite? ; https://www.cubbyusercontent.com/pl/MultifracArchive/_67536d81761949e592b93… ; Path: MultifracArchive/New/Newgif Images nr.43, 44, 45,46 Path: MultifracArchive/New/Newpar\NEW.PAR ; Albrecht Das Wort für Welt ist Wald

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The Monument
by Albrecht Niekamp 03 Jan '16

03 Jan '16

Another "Visual Delight" Thank you, Alex ! Found on the extreme outside, the final right parent view. ; https://www.cubbyusercontent.com/pl/MultifracArchive/_67536d81761949e592b93… ; Path: MultifracArchive/New/Newgif Image nr.42 Path: MultifracArchive/New/Newpar\NEW.PAR ; Albrecht Das Wort für Welt ist Wald

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Look Again
by Albrecht Niekamp 02 Jan '16

02 Jan '16

Another zoom into yesterday´s image. Could not find a better title because it resembles nothing I have ever seen. ; https://www.cubbyusercontent.com/pl/MultifracArchive/_67536d81761949e592b93… ; Path: MultifracArchive/New/Newgif Image nr.41 Path: MultifracArchive/New/Newpar\NEW.PAR ; Albrecht Das Wort für Welt ist Wald

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<Albrecht> These images of yours are almost like carpets of beads
by Hal Lane 02 Jan '16

02 Jan '16

Albrecht, I didn't get a chance to tell you how much I liked these images of yours: 37 - 35187-TV.gif 38 - 35100-44.GIF 39 - 35187-59.GIF https://www.cubbyusercontent.com/pl/MultifracArchive/_67536d81761949e592b936 0795405d0e Path MultifracArchive/New/Newgif They're almost like carpets of beads, the way ancient Egyptian pectorals were made of tiny semi-precious stones. Very nice. Like: http://www.touregypt.net/museum/vulture2page.htm Makes me want to zoom into your images! - 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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National Geographic image: Frozen Fractals Crisscross Mars
by Hal Lane 02 Jan '16

02 Jan '16

On this National Geographic page: "Week's Best Space Pictures: Frozen Fractals Crisscross Mars" http://tinyurl.com/Nat-Geo-Best-Space-Pictures or: http://news.nationalgeographic.com/2016/01/160101-galaxy-satellite-mars-satu rn-best-space-pictures-science/ the Photo gallery has a Martian fractal: http://tinyurl.com/Nat-Geo-Martian-fractal or: http://news.nationalgeographic.com/content/dam/news/2016/01/01/wis382/02_wis 382.ngsversion.1451487039325.adapt.768.2.jpg - 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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Re: [Fractint] <Albrecht> Today I created a new MFR14-2 version...
by David Jones 01 Jan '16

01 Jan '16

"The Word For World Is Forest" - U. K. le Guin I like what Albrecht is doing and has done with Fractint, but I have little time for making fractals at the moment. So I look at his images and go, "Someday I'll get to do something with his formulae." Does anyone know if Xfractint has the same memory limitations as DOS Fractint? David W. Jones gnome(a)hawaii.rr.com authenticity, honesty, community http://dancingtreefrog.comOn Dec 31, 2015 22:45, John Wilson <1stdiscus(a)gmail.com> wrote: > > Albrecht, > > If you're familiar with le Guin, I'm surprised that you don't know > Douglas Adams. I was irresistibly reminded of "So long and thanks for all > the fish" when I thanked you for all your fractals. Sorry, didn't mean to > confuse, I leave that job to you. "Das Wort für Welt ist Wald"? The > closest analogy I can think of is; "Can't see the forest for the trees". > I'll drink to that. > In your words, "I have tried more than once to explain the whole story > but every time had to learn > that no one else was willing or able to follow > > ". Maybe this should have been written; "I don't have the talent to > make my subject interesting and informative enough to gain a wider > audience". Yes? > > Stay amazing, > > John W. > > On 31 December 2015 at 18:23, Albrecht Niekamp <multifrac(a)t-online.de> > wrote: > > > Am 31.12.2015 um 23:04 schrieb John Wilson: > > > >> You know, Albrecht, I believe you would be far more appreciated if you > >> would just SLOW DOWN A LITTLE > >> > > Slow down? - The journey has ended April,2015. Since then no more updates > > to > > mfr14_2 were published..And a time of more then 10 years is not that fast, > > isn´t it ? > > I´m sticking with Cubby since July without problems - only from time to > > time I must use > > the cloud space for other purposes and after that the link has changed, > > sorry for that. > > But I see the problem - other users share it with you - : > > I´m extending the limits of Fractint and to do so I have to do things > > which are not easy to > > follow or understand, breaking the rules so to speak. > > For instance I use the inputs in a way not intended by the original > > authors and the whole > > Multifractal concept is not easy to understand. I only will mention the > > problem how > > to tell the frm when to stop iterating or go on to the next participating > > formula, starting > > to iterate again or go on iterating - still calculating the same pixel. > > I have tried more then once to explain the whole story but every time had > > to learn > > that no one else was willing or able to follow.. As far as I know only > > Jonathan and > > (partly) Hal and Paul understand what´s going on. > > But it´s my Baby and to know that you´re the only one in the world > > creating this > > kind of fractal images is worth every effort. Agreed? > > Albrecht > > Das Wort für Welt ist Wald (Ursula K.LeGuin) > > ; > > Who is Douglas Adams? > > > > _______________________________________________ > > Fractint mailing list > > Fractint(a)mailman.xmission.com > > https://mailman.xmission.com/cgi-bin/mailman/listinfo/fractint > > > _______________________________________________ > Fractint mailing list > Fractint(a)mailman.xmission.com > https://mailman.xmission.com/cgi-bin/mailman/listinfo/fractint

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Re: [Fractint] <Albrecht> Today I created a new MFR14-2 version...
by Multifrac＠t-online.de 01 Jan '16

01 Jan '16

On 31.12.2015 20:27, Multifrac(a)t-online.de wrote: > On 31.12.2015 16:06, Hal Lane wrote: >>> Today I created a new MFR14-2 version which replaces the >>> >originally used Spider frm by Magnet... >> Where can I get a copy of the new formula? <---<< > Sorry Hal, there is a misunderstanding - I was talking about > the image that exists in a very complex MFR10 version and a > slightly reduced MFR13 version, the one that Llyoyd Garrick > used . > The new version for MFR14-2 is a modification of the MFR10 version > and replaces Spider, which is not used anymore by Magnet. > A new image which only is similar to the previous versions is the result. > If you find the time I strongly recommend to zoom out until you get > about ten different parent views in a row, each one delivers different > zooms. > A happy new year to you and all members of our community! > ; > Albrecht > Das Wort fÃ¼r Welt ist Wald.

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The Magnet Tree
by Albrecht Niekamp 01 Jan '16

01 Jan '16

The Magnet Tree ; To start off the new year here is the first image - a zoom into yesterday´s image. As Hal noted that the par files are corrupted by the mail system they are only included in the Multifractal Archive like the images from now on. ; https://www.cubbyusercontent.com/pl/MultifracArchive/_67536d81761949e592b93… ; Path: MultifracArchive/New/Newgif Image nr.40 Path: MultifracArchive/New/Newpar\NEW.PAR ; Albrecht Das Wort für Welt ist Wald

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Re: [Fractint] <Albrecht> Today I created a new MFR14-2 version...
by Hal Lane 31 Dec '15

31 Dec '15

-------------- schrieb Albrecht ------------------- > Today I created a new MFR14-2 version which replaces the > originally used Spider frm by Magnet... Where can I get a copy of the new formula? <---<< I looked around in your Cubby Archive for quite a while, but I couldn't find it. Where can I get the older versions of all your MFR-xx formulas? <---<< I think it will cause people problems when you change your previously published formulas -- but keep their *original name*. People who try to calculate fractals from your previously published *parameter sets* that used the older version of your formula -- that has the *same name* -- may get a different fractal than they expected, if they inadvertently use a later version formula with the same name. Can you at least change this latest version of your formula's name in some way to prevent it from being used incorrectly with an older parameter set? Perhaps you could call this latest formula: MFR14-2A or something similar (instead of: MFR14-2)... P. S. I like your last 3 images! - Hal Lane ######################## # hallane(a)earthlink.net ######################## -----Original Message----- From: Fractint [mailto:fractint-bounces@mailman.xmission.com] On Behalf Of Albrecht Niekamp Sent: Wednesday, December 30, 2015 1:39 PM To: Fractint and General Fractals Discussion <fractint(a)mailman.xmission.com> Subject: [Fractint] Gate to the Magnetic World Am 30.12.2015 um 03:09 schrieb Hal Lane: > JoTz also sent me a link to a recent high resolution fractal zoom > animation of his. It's a nice one. Info & link forwarded below. Thank you, Lloyd Garrick and Hal for publishing this great animation which uses one of the most complex images I ever did.Title 35100-44. It was the MFR13 version of a previous even more complex one. Repeated here and also the initial version 35187-TV. Today I created a new MFR14-2 version which replaces the originally used Spider frm by Magnet which is more complex and symmetrical. If you zoom out there is not just one parent view, there is a row like railway stations, each with a different image and ready to zoom into. Images 37,38,39 ; https://www.cubbyusercontent.com/pl/MultifracArchive/_67536d81761949e592b936 0795405d0e ; Path MultifracArchive/New/Newgif ; Albrecht Das Wort für Welt ist Wald ; ----------------------------------------Start Par------------------------------------------------------------------------- ---------------- 35187-59 { ; Gate to the Magnetic Dimension ; MFR14-2 Version_Spider part replaced by Magnet ; Time 0.01.13.32 Reso 1280/1024 ; Bees-Mmods-Secant-Magnet-Newton ; Dec30, 2015 reset=2004 type=formula formulafile=mfr_14.frm formulaname=mfr_14_2 function=sin/acosh/exp/sin passes=t center-mag=-0.16928519692705740/+0.00000039998953260/34.89748/1/90/3.885\ 78058618804789e-016 params=-0.05825983458967864/0.3785210730307932/35187.64595762135/45235.4\ 911030602/152048.0404808023/4.16048940121/23.00482000595/256.1076803001/\ 512.1076803001/768.1076803001 float=y maxiter=3071 inside=maxiter outside=tdis periodicity=0 rseed=-2436 sound=off colors=000<3>000000000000330<6>220220220<3>110000110<2>000KA4<7>gcOjgRmj\ T<3>zzc<9>UOFRKDOGA<3>A00<3>O05R06U07X08`0A<3>l0Fp0Gs0Iw0Jz0K<6>Z0EV0DR0\ C<3>A08004000<26>000<4>000<9>X0a_0dc0h<3>p0w<4>_0dX0aU0Y<2>K0NH0JG0NE1R<\ 3>7UX6`Z4h_2oa0wc<11>2TG2RE3OC<2>4G54D36F5<16>kkammcpoe<3>zwm<3>mhZjdVfa 3>\ S<3>VMCRI8OE4KA0000<41>000 } -------------------------------------End------------------------------------ ---------------- _______________________________________________ Fractint mailing list Fractint(a)mailman.xmission.com https://mailman.xmission.com/cgi-bin/mailman/listinfo/fractint --- This email has been checked for viruses by Avast antivirus software. https://www.avast.com/antivirus

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Re: [Fractint] Fractint Operating System
by Albrecht Niekamp 30 Dec '15

30 Dec '15

Am 28.12.2015 um 22:00 schrieb LLOYD GARRICK: > > *.* > > > *OK, I'll let you [Hal, Albrecht, other?] be the beta testers.* > > *sorry, I cant´t do that because it involves formatting of the bootstick during installation of dos7 using rufus. One thing must be observed if you want to use the stick bothways: fractint start inside OS (XP dos) and from a bootable dos: Both the fractint.cfg and sstool,ini files s must be placed inside and outside the fractint directory. The outside sstools version must show the path. Albrecht *

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Fractint on a 4k UHD screen
by Albrecht Niekamp 30 Dec '15

30 Dec '15

If you are the lucky owner of such a futuristic device (f.i. by Panasonic) you will note that the Fractint Images are upsampled to a higher resolution and the adaptable background illlunination further enhances the image quality as the brighter parts of the image are elevated, so actually a higher color resolution is shown, I´m always disappointed to see my images on other devices. Just to let you know if you´re thinking about a new TV ; Albrecht Das Wort für Welt ist Wald.

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Info about JoTz's Fractint Boot CD/USB stick
by Hal Lane 30 Dec '15

30 Dec '15

------------- JoTz said to me in a private email: ------------ > ...maybe you can pass the info [about my Fractint Boot > CD/USB stick] to the rest of the [Fractint] mailing list, > as I still cannot seem to post directly to it [after my > recent forced email change.] The collection of emails from JoTz to me re his Fractint boot system are below, including a link to his zipped, downloadable file. JoTz is seeking beta testers... And thanks, Albrecht, for your reposting info on this topic. - Hal Lane ######################## # hallane(a)earthlink.net ######################## ------------------------------------------------------------------------ From: LLOYD GARRICK [mailto:lgarr@colorado-hiking.net] Sent: Sunday, December 27, 2015 8:41 PM To: Hal Lane <hallane@???>; Albrecht Niekamp <multifrac@???>; Fractint and General Fractals Discussion <fractint@???> Subject: Fractint Operating System HeadZup folks - welcome me back. Comcast hosed my email 2 months ago and they won't let me fix it. I lost all my contacts, one of which was the fractint list etc., so if NY1 been sending me email and get no response thats why. Now I have this new email and reregistered with the mailing list, although I am having trouble posting and reading; computers suck! [actually, computers ROCK! It's the dum-stoopid peeple sometimes]. I am working on a "fractint operating system" boot CD which should solve all the problems people are having with current non-DOS systems. It will be an "ISO" file and I will post it on my server. All you need to do is use it to burn a boot CD and boot with it on ANY system that has at least one FAT/FAT32 partition on the hardrive, and it will be just like the good old days. Gimme a little more time now - almost done. Full instructions will be included. I am currently doing final touches and "debugging" , should be uploaded soon - this week. IF I can successfully post to the list and let everyone know. JoTz ---------------------------------------------------------------------------- From: LLOYD GARRICK [mailto:lgarr@colorado-hiking.net] Sent: Monday, December 28, 2015 12:37 PM To: Hal Lane <hallane(a)earthlink.net>; Albrechtx_Multifract!!! <Multifrac(a)t-online.de>; Fractint and General Fractals Discussion <fractint(a)mailman.xmission.com> Subject: Re: [Fractint] Fractint Operating System I hadn't considered the USB stick! Forgot all about it! Thanks for reminding me. I have been using one for years on my DOS-without windows systems. Most systems have "legacy USB support" ; it is usually ON by default, but if not, can be turned on by entering the SETUP (BIOS) screen on startup. Not all sticks work however, depending on how they are formatted - just have to try yours and see. Also, the stick MUST be inserted BEFORE the computer is powered on. I will check-see if it can be used with the boot disk. If so, there may be no need to create a FAT partition! ---------------------------------------------------------------------------- -- From: LLOYD GARRICK [mailto:lgarr@colorado-hiking.net] Sent: Monday, December 28, 2015 4:00 PM To: Hal Lane <hallane(a)earthlink.net>; Albrechtx_Multifract!!! <Multifrac(a)t-online.de>; Fractint and General Fractals Discussion <fractint(a)mailman.xmission.com> Subject: Re: [Fractint] Fractint Operating System The file [for my Fractint Boot CD/USB stick system] is uploaded: http://www.fractal-animation.net/special/FractintOS.zip About 21Meg ; it contains the ISO file, a buncha fractint / fractal stuff and detailed instructions. I tried the USB stick method - and it works! So no messing with partitions needed [although I would expect a serious fractalnaut to wanna do it that way ...] Give me feedback and comments so I can refine it if need; it is on my server so anyone can download it; I don't know if this email is going to the full list. ---------------------------------------------------------------------------- ------ --- --- This email has been checked for viruses by Avast antivirus software. https://www.avast.com/antivirus

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Re: [Fractint] Fractint Operating System
by Hal Lane 28 Dec '15

28 Dec '15

Thanks, Albrecht. I had forgotten you had posted this info before. - Hal Lane ######################## # hallane(a)earthlink.net ######################## -----Original Message----- From: Fractint [mailto:fractint-bounces@mailman.xmission.com] On Behalf Of Albrecht Niekamp Sent: Monday, December 28, 2015 2:55 AM To: Fractint and General Fractals Discussion <fractint(a)mailman.xmission.com> Subject: Re: [Fractint] Fractint Operating System Am 28.12.2015 um 05:09 schrieb Hal Lane: > Is a USB thumb drive a reasonable thing to use as a "data drive" > if all I have is a small amount of space left on an all-one-partition > NTFS drive system? As mentioned before I use a 16GB bootstick as a perfect device. Used in 4 (four) different ways successfully: 1. To run XP dos the usual way 2. As a perfect FAT partition with full access also for Win311, Win95 software. 3. As a DOS bootdevice 4. It is plugged into a switchable hub and can boot up my Win7 computer as well, so I have DOS on that machine too. To accomplish that the boot up code must be written using Win7. The Rufus software does the job. Any questions are welcome ; Albrecht Das Wort für Welt ist Wald _______________________________________________ Fractint mailing list Fractint(a)mailman.xmission.com https://mailman.xmission.com/cgi-bin/mailman/listinfo/fractint --- This email has been checked for viruses by Avast antivirus software. https://www.avast.com/antivirus

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Re: [Fractint] Fractint Operating System
by Hal Lane 28 Dec '15

28 Dec '15

--------- JoTz (LLOYD GARRICK) said ---------------- > Comcast hosed my email… I lost all my contacts... Sorry to hear that. If I can supply you with any needed email addresses of people on the Fractint list please let me know. I've updated your email address in my address book to: lgarr AATT colorado-hiking DDOOTT n e t (That should make it through the email address flter.) > I am having trouble posting and reading… I read here successfully: https://mailman.xmission.com/lurker/search/20151230.124737.00000000@ml:frac… I occasionally refresh the page, and if a right arrow in a circle appears at top right, I click it to have the new post get shown in the list. Oh yeah -- you have to select a date in the *future* at the bottom of the page and click "Jump!" the first time you load the page. A more standard format display list of posts is here: https://mailman.xmission.com/lurker/list/fractint.en.html > I am working on a "fractint operating system" boot CD... I'm interested in your Fractint boot CD. Am I correct in that it will - read formulas and parameter files from, and - store its created images to the FAT/FAT32 hard drive assumed to be in the booted computer? What do you recommend people with one big NTFS partition do? Can your Fractint CD OS read & write files to a USB FAT thumb drive? Is a USB thumb drive a reasonable thing to use as a "data drive" if all I have is a small amount of space left on an all-one-partition NTFS drive system? Wikipedia https://en.wikipedia.org/wiki/USB_flash_drive says: "USB flash drives use the USB mass storage device class standard, supported natively by modern operating systems such as Windows, Linux, OS X and other Unix-like systems, as well as many BIOS boot ROMs." and: "Most flash drives ship preformatted with the FAT32, or ExFat file systems." What OS will your CD use? Will there be any user access to the OS? (For file & folder maintenance, etc.) - Hal Lane ######################## # hallane(a)earthlink.net ######################## From: LLOYD GARRICK [mailto:lgarr@colorado-hiking.net] Sent: Sunday, December 27, 2015 8:41 PM To: Hal Lane <hallane(a)earthlink.net>; Albrecht Niekamp <multifrac(a)t-online.de>; Fractint and General Fractals Discussion <fractint(a)mailman.xmission.com> Subject: Fractint Operating System HeadZup folks - welcome me back. Comcast hosed my email 2 months ago and they won't let me fix it. I lost all my contacts, one of which was the fractint list etc., so if NY1 been sending me email and get no response thats why. Now I have this new email and reregistered with the mailing list, although I am having trouble posting and reading; computers suck! [actually, computers ROCK! It's the dum-stoopid peeple sometimes]. I am working on a "fractint operating system" boot CD which should solve all the problems people are having with current non-DOS systems. It will be an "ISO" file and I will post it on my server. All you need to do is use it to burn a boot CD and boot with it on ANY system that has at least one FAT/FAT32 partition on the hardrive, and it will be just like the good old days. Gimme a little more time now - almost done. Full instructions will be included. I am currently doing final touches and "debugging" , should be uploaded soon - this week. IF I can successfully post to the list and let everyone know. JoTz . --- This email has been checked for viruses by Avast antivirus software. https://www.avast.com/antivirus

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Re: [Fractint] Far Point
by Hal Lane 27 Dec '15

27 Dec '15

--------- Albrecht said: ------------ > I prefer those "irregular" seemingly chaotic pictures - really > they are not chaotic at all - [they] address your feelings more > directly and have a certain athmosphere... I think "irregular" was a poor word for me to choose. I have not carefully thought out all of the characteristics of a fractal that would make it pleasing to me. ------- I like many features of your image at the link below: Path: MultifracArchive/New/Newgif/36 - 8MAGW-14 https://www.cubbyusercontent.com/pl/MultifracArchive/_67536d81761949e592b93… Aspects of the red "thistle" at the right edge are carried through the rest of the fractal -- both by color and variations on its radiating spikes. The large dark central areas make a nice background for the green and red "lacework" hovering over them. And the green background area provides a connectedness to all the figures that appear on it -- the thistle-like figures and the smaller, curved, dark "blades." -------- Thanks for your code showing: "...Albrecht Niekamp´s definition of a complex number." ********************************************* *** However, I don't understand what this line does: *** d=px/73,37 ********************************************* - Hal Lane ######################## # hallane(a)earthlink.net ######################## From: Albrecht Niekamp [mailto:multifrac@t-online.de] Sent: Sunday, December 27, 2015 4:23 AM To: Hal Lane <hallane(a)earthlink.net> Subject: Re: [Fractint] Far Point Am 27.12.2015 um 06:11 schrieb Hal Lane: > My personal sensibilities seem to prefer smoother, less > irregular features in fractal images Thank You, Hal. ; Nowadays, after all those Fractint years I prefer those "irregular" seemingly chaotic pictures - really they are not chaotic at all - which address your feelings more directly and have a certain athmosphere, like that ring of fire in image35. Including one more "irregular" image - for me the best in this series - with par-file plus the parent view - only par-file - for own zooms ; https://www.cubbyusercontent.com/pl/MultifracArchive/_67536d81761949e592b93… ; Image Nr.36 Path MultifracArchive/New/Newgif ; The Reality of the Impossible -------------------------------- This refers to the impossibility of the imaginary part of a complex number that mathematically is defined by a square root of a negative value. Fractint uses them all the time and the real and imaginary parts of the variables are defined by the user as you know. This is the mathematical expression for the imaginary part of a complex number: i2 = -1 i = √-1. ; This image uses Albrecht Niekamp´s definition of a complex number. ------------------------------------------------------------------------ Instead of an explanation including the program code performing the task. The variable "PX" used is any number from 02 to 99 where the first figure [digit -hhl] is used for the calculation of the real part and the second number [digit -hhl] for calculation of the imaginary part. Additionally the function used is choosable if requested for more complexity. "FDM" decides if this function (FN4) is altered ---------start code---------------- If (1<px) d=(trunc(px/10))/9 if (fdm) da=fn4(px-100*d) else da=exp(px-100*d) endif d=px/73,37 px=d+sqr(-da) else px=p1 endif -------------------------end code-start par------------------------------- ; 8magw-14 { ; ChaosWorld ; Magnet Only ; Time 0.23.44.87 Reso 11280/1024 ; Dec 26, 2015 reset=2004 type=formula formulafile=mfr14.frm formulaname=multifractal_13 function=sin/exp/exp/sin passes=t center-mag=-0.99810913668919480/+0.32952097815457960/180.9059/1/-137.499\ 99999994165/-5.96633159544168734e-012 params=0/0/80000.645957/14235.4911030602/152048.0404808056/384.160489401\ 21/384.00482000595/256.1007683001/512.1007683001/768.1007683001 float=y maxiter=3071 inside=maxiter logmap=yes periodicity=0 rseed=-2436 sound=off colors=0002oa0wc<10>2WI2TG2RE<3>4G54D36F5<16>kkammcpoe<3>zwm<3>mhZjdVfaS\ <3>VMCRI8OE4KA000900BB00006000700000<37>000<4>000330<6>220220220<3>11000\ 0110<2>000KA4<7>gcOjgRmjT<3>zzc<9>UOFRKDOGA<3>A00<9>f0Ci0Dl0F<3>z0K<6>Z0\ EV0DR0C<3>A08004000<26>000<4>000<7>Q0UU0YX0a_0dc0hf0l<2>p0w<4>_0dX0aU0Y<\ 2>K0NH0JG0NE1R<5>4h_ } 8magw-16 { ; ParentView ; Magnet Only ; Time 0.04.04.87 Reso 11280/1024 ; Dec 26, 2015 reset=2004 type=formula formulafile=mfr_13.frm formulaname=multifractal_13 function=sin/exp/exp/sin passes=t center-mag=-0.267002/-0.0163234/0.8929334/1/-90/-1.23373533611470521e-01\ 4 params=0/0/80000.645957/14235.4911030602/152048.0404808056/384.160489401\ 21/384.00482000595/256.1007683001/512.1007683001/768.1007683001 float=y maxiter=3071 inside=maxiter periodicity=0 rseed=-2436 sound=off colors=000110110000110<2>000KA4<7>gcOjgRmjT<3>zzc<9>UOFRKDOGA<3>A00<9>f0\ Ci0Dl0F<3>z0K<6>Z0EV0DR0C<3>A08004000<26>000<4>000<7>Q0UU0YX0a_0dc0hf0l<\ 2>p0w<4>_0dX0aU0Y<2>K0NH0JG0NE1R<3>7UX6`Z4h_2oa0wc<10>2WI2TG2RE<3>4G54D3\ 6F5<16>kkammcpoe<3>zwm<3>mhZjdVfaS<3>VMCRI8OE4KA000900BB00006000700000<3\ 7>000<4>000330<10>110 } -------------------------------------------------------------------------------- Albrecht Das Wort für Welt ist Wald ; --- This email has been checked for viruses by Avast antivirus software. https://www.avast.com/antivirus

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Re: [Fractint] Far Point
by Albrecht Niekamp 27 Dec '15

27 Dec '15

> > > Am 27.12.2015 um 06:11 schrieb Hal Lane: >> My personal sensibilities seem to prefer smoother, less >> irregular features in fractal images > Thank You, Hal. > ; > Nowadays, after all those Fractint years I prefer those > "irregular" seemingly chaotic pictures - really they are > not chaotic at all - which address your feelings more > directly and have a certain athmosphere, like that > ring of fire in image35. > Including one more "irregular" image - for me the best > in this series - with par-file plus the parent view > - only par-file - for own zooms > ; > https://www.cubbyusercontent.com/pl/MultifracArchive/_67536d81761949e592b93… > ; > Image Nr.36 > Path MultifracArchive/New/Newgif > ; > *The Reality of the Impossible* > -------------------------------- > This refers to the impossibility of the imaginary > part of a complex number that mathematically is defined by a > square root of a negative value. > Fractint uses them all the time and the real > and imaginary parts of the variables are > defined by the user as you know. > This is the mathematical expression for the > imaginary part of a complex number: > i2 = -1 > i = √-1. > ;*This image uses Albrecht Niekamp´s definition of a complex number.* > ------------------------------------------------------------------------ > Instead of an explanation including the program code > performing the task. > The variable "PX" used is any number from 02 to 99 > where the first figure is used for the calculation > of the real part and the > second number for calculation of the imaginary part. > Additionally the function used is choosable if requested > for more complexity. > "FDM" decides if this function (FN4) is altered > ---------start code---------------- > If (1<px) > d=(trunc(px/10))/9 > if (fdm) > da=fn4(px-100*d) > else > da=exp(px-100*d) > endif > d=px/73,37 > px=d+sqr(-da) > else > px=p1 > endif > -------------------------end code-start par------------------------------- > ; > 8magw-14 { ; ChaosWorld > ; Magnet Only > ; Time 0.23.44.87 Reso 11280/1024 > ; Dec 26, 2015 > reset=2004 type=formula formulafile=mfr14.frm > formulaname=multifractal_13 function=sin/exp/exp/sin passes=t > center-mag=-0.99810913668919480/+0.32952097815457960/180.9059/1/-137.499\ > 99999994165/-5.96633159544168734e-012 > params=0/0/80000.645957/14235.4911030602/152048.0404808056/384.160489401\ > 21/384.00482000595/256.1007683001/512.1007683001/768.1007683001 > float=y maxiter=3071 inside=maxiter logmap=yes periodicity=0 > rseed=-2436 sound=off > colors=0002oa0wc<10>2WI2TG2RE<3>4G54D36F5<16>kkammcpoe<3>zwm<3>mhZjdVfaS\ > <3>VMCRI8OE4KA000900BB00006000700000<37>000<4>000330<6>220220220<3>11000\ > 0110<2>000KA4<7>gcOjgRmjT<3>zzc<9>UOFRKDOGA<3>A00<9>f0Ci0Dl0F<3>z0K<6>Z0\ > EV0DR0C<3>A08004000<26>000<4>000<7>Q0UU0YX0a_0dc0hf0l<2>p0w<4>_0dX0aU0Y<\ > 2>K0NH0JG0NE1R<5>4h_ > } > > 8magw-16 { ; ParentView > ; Magnet Only > ; Time 0.04.04.87 Reso 11280/1024 > ; Dec 26, 2015 > reset=2004 type=formula formulafile=mfr_13.frm > formulaname=multifractal_13 function=sin/exp/exp/sin passes=t > center-mag=-0.267002/-0.0163234/0.8929334/1/-90/-1.23373533611470521e-01\ > 4 > params=0/0/80000.645957/14235.4911030602/152048.0404808056/384.160489401\ > 21/384.00482000595/256.1007683001/512.1007683001/768.1007683001 > float=y maxiter=3071 inside=maxiter periodicity=0 rseed=-2436 > sound=off > colors=000110110000110<2>000KA4<7>gcOjgRmjT<3>zzc<9>UOFRKDOGA<3>A00<9>f0\ > Ci0Dl0F<3>z0K<6>Z0EV0DR0C<3>A08004000<26>000<4>000<7>Q0UU0YX0a_0dc0hf0l<\ > 2>p0w<4>_0dX0aU0Y<2>K0NH0JG0NE1R<3>7UX6`Z4h_2oa0wc<10>2WI2TG2RE<3>4G54D3\ > 6F5<16>kkammcpoe<3>zwm<3>mhZjdVfaS<3>VMCRI8OE4KA000900BB00006000700000<3\ > 7>000<4>000330<10>110 > } > -------------------------------------------------------------------------------- > > Albrecht > Das Wort für Welt ist Wald > ; >

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Far Point
by Albrecht Niekamp 27 Dec '15

27 Dec '15

Far Point or The Reality of the Impossible ; Lambda Only ; This image uses Albrecht Niekamp´s definition of a complex number. Therefore the title extension (again). I wonder what Hal´s analytical genius will have to say to this one ; https://www.cubbyusercontent.com/pl/MultifracArchive/_67536d81761949e592b93… ; Image Nr.34 Path MultifracArchive/New/Newgif ; Albrecht Das Wort für Welt ist Wald ; ----------------------------------Start Par------------------------------------------ 8magw-11 { ; FarPoint ; or ; The Reality of the Impossible ; Dec 26, 2015 reset=2004 type=formula formulafile=mfr_13.frm formulaname=multifractal_13 function=sin/exp/exp/sin passes=t center-mag=-1.29361068816307000/+0.00553875494018016/2.561389e+007/1/-97\ .4999999921424205/-1.53519645607058663e-008 params=4.123456789123456/0.3785210730307932/80000.645957/14235.491103060\ 2/152048.0404808001/384.16048940121/384.00482000595/256.1007683001/512.1\ 007683001/768.1007683001 float=y maxiter=3071 inside=maxiter periodicity=0 rseed=-2436 sound=off colors=000plb<3>cYO`UKYQG<3>KA000900BB00006000700000<37>000<4>000330<6>2\ 20220220<3>110000110<2>000KA4<7>gcOjgRmjT<3>zzc<9>UOFRKDOGA<3>A00<9>f0Ci\ 0Dl0F<3>z0K<6>Z0EV0DR0C<3>A08004000<26>000<4>000<7>Q0UU0YX0a_0dc0hf0l<2>\ p0w<4>_0dX0aU0Y<2>K0NH0JG0NE1R<3>7UX6`Z4h_2oa0wc<10>2WI2TG2RE<3>4G54D36F\ 5<16>kkammcpoe<3>zwmwsispf } ---------------------------------------------End---------------------------------------

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FarPoint Zoom
by Albrecht Niekamp 26 Dec '15

26 Dec '15

FarPoint Zoom ; Zoom into image 34 ; https://www.cubbyusercontent.com/pl/MultifracArchive/_67536d81761949e592b93… ; Image Nr.35 Path MultifracArchive/New/Newgif ; Albrecht Das Wort für Welt ist Wald ; ---------------------------------------start par-------------------------------------- 8magw-13 { ; FarPoint Zoom ; Time 0.36.56.57 Reso 1280/1024 ; Lambda only - own complex number definition ; Dec 26, 2015 reset=2004 type=formula formulafile=mfr_13.frm formulaname=multifractal_13 function=sin/exp/exp/sin passes=t center-mag=-1.29361066060122400/+0.00553877539968829/5.122778e+008/1/-80\ .0000016312156674/1.642325121092858e-006 params=4.123456789123456/0.3785210730307932/80000.645957/14235.491103060\ 2/152048.0404808001/384.16048940121/384.00482000595/256.1007683001/512.1\ 007683001/768.1007683001 float=y maxiter=3071 inside=maxiter periodicity=0 rseed=-2436 sound=off colors=000plb<3>cYO`UKYQG<3>KA000900BB00006000700000<37>000<4>000330<6>2\ 20220220<3>110000110<2>000KA4<7>gcOjgRmjT<3>zzc<9>UOFRKDOGA<3>A00<9>f0Ci\ 0Dl0F<3>z0K<6>Z0EV0DR0C<3>A08004000<26>000<4>000<7>Q0UU0YX0a_0dc0hf0l<2>\ p0w<4>_0dX0aU0Y<2>K0NH0JG0NE1R<3>7UX6`Z4h_2oa0wc<10>2WI2TG2RE<3>4G54D36F\ 5<16>kkammcpoe<3>zwmwsispf } -----------------------------------------------end------------------------------------

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Mother Goose
by Albrecht Niekamp 21 Dec '15

21 Dec '15

Mother Goose ; Another modified oldie : https://www.cubbyusercontent.com/pl/MultifracArchive/_67536d81761949e592b93… ; Image Nr.33 Path MultifracArchive/New/Newgif ; Albrecht Das Wort für Welt ist Wald ; -------------------------------------Start Par----------------------------------------- mulke12n { ; Mother Goose ; Time 0.00.52.59 Reso 1280/1024 ; Uses Sylvie Gallet-s Lake Effect ; Dec21, 2015 reset=2004 type=formula formulafile=multlke.frm formulaname=Multi_lake12 ismand=n passes=t center-mag=0/0.208211/0.6666667 params=-1/-0.75/512/40/0.3/300 float=y maxiter=1094 inside=maxiter outside=tdis periodicity=0 sound=off colors=000WPE<3>gcOjgRmjT<3>zzc<9>UOFRKDOGA<3>A00<9>f0Ci0Dl0F<3>z0K<6>Z0\ EV0DR0C<3>A08004000<26>000<4>000<9>X0a_0dc0h<3>p0w<4>_0dX0aU0Y<2>K0NH0JG\ 0NE1R<3>7UX6`Z4h_2oa0wc<11>2TG2RE3OC<3>4D3<17>kkammcpoe<3>zwm<6>cYO`UKYQ\ G<3>KA0000<43>000<4>000330<11>110110110<3>000KA4<2>TLB } -------------------------------------------End-------------------------------------------

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Re: [Fractint] One_Drop_Only
by Hal Lane 20 Dec '15

20 Dec '15

----------- Albrecht said: ----------------------- > A modified treasure from yesteryear Your: https://www.cubbyusercontent.com/pl/MultifracArchive/_67536d81761949e592b93… Cubby > New > NewGif > 32 - 38400-02.GIF (One_Drop_Only) is indeed a treasure! The green "meadows" stretch off to the horizon, while the rose-colored foliage creeps up to the ridge -- with the single raindrop on its way down to water the landscape. The large "V" looks like the seams between window panes in the craft that we are looking down from. A very evocative image. Thanks! - Hal Lane ######################## # hallane(a)earthlink.net ######################## -----Original Message----- From: Fractint [mailto:fractint-bounces@mailman.xmission.com] On Behalf Of Albrecht Niekamp Sent: Sunday, December 20, 2015 12:22 PM To: Fractint and General Fractals Discussion <fractint(a)mailman.xmission.com> Subject: [Fractint] One_Drop_Only One_Drop_Only ; A modified treasure from yesteryear ; https://www.cubbyusercontent.com/pl/MultifracArchive/_67536d81761949e592b93… ; Image Nr.32 ; Albrecht Das Wort für Welt ist Wald (Ursula K.Le Guin) ; ----------------------------------Start Par------------------------------------------- 38400-02 { ; One_Drop_Only ; Time 0.05.45.17 Reso 1280-1024 ; Dec19, 2015 reset=2004 type=formula formulafile=mfr.frm formulaname=multifractal ismand=y function=cosxx/exp/exp passes=t center-mag=-1.57416329757323300/+0.23351258498469780/4263.066/1/97.50000\ 00000186304/-1.73527234248460616e-011 params=-0.8940855128635518/0.8105868709372235/384.00001/256.1133/4094.00\ 016/768.0003400000001/768.0076800000001/256.01024/18937.52/5 float=y maxiter=3072 inside=maxiter outside=tdis logmap=7 periodicity=0 rseed=-2436 sound=off colors=0000A1<3>0200000101221532653863A84DA5EB5HB<2>7NG8PI8RJ9TKAVNAXM<3\ >DdTDfVEhWFjYFlYGn_Gp`Prd<3>zzz<2>_ulRsgHqaHo`GmZFkXFiX<5>BYOAWMAUL9SK<4\ >6IC5GB5DA<3>254243121000001023025047049<5>0BL0DN0DP<4>0KZ0L`0Mb0Nd0Of0Q\ h<3>0Up4Yr8atCgvGkxKqz<3>4_s0Vq0Uo<12>0FQ0DO0DM<3>08E06C06A0480460240120\ 00100<12>R0LT0NV0PX0P<3>d0Wf0Yh0Z<3>p0e<3>xOtzUxyOuwIquCns6iq0g<2>k0bi0`\ g0_e0Z<3>Y0SW0RU0O<5>I0FG0EE0CC0A<3>304102010<4>0B10D10F10H20J20L20N2<2>\ 0T40V40X3<3>0d40f50h5<3>0p6<3>WxZczeUyY<2>0s8<4>0i60g60e60c4<2>0Y40W30U4\ <5>0I20G20E20C2 } ------------------------------------End------------------------------------------------- _______________________________________________ Fractint mailing list Fractint(a)mailman.xmission.com https://mailman.xmission.com/cgi-bin/mailman/listinfo/fractint --- This email has been checked for viruses by Avast antivirus software. https://www.avast.com/antivirus

1 0

One_Drop_Only
by Albrecht Niekamp 20 Dec '15

20 Dec '15

One_Drop_Only ; A modified treasure from yesteryear ; https://www.cubbyusercontent.com/pl/MultifracArchive/_67536d81761949e592b93… ; Image Nr.32 ; Albrecht Das Wort für Welt ist Wald (Ursula K.Le Guin) ; ----------------------------------Start Par------------------------------------------- 38400-02 { ; One_Drop_Only ; Time 0.05.45.17 Reso 1280-1024 ; Dec19, 2015 reset=2004 type=formula formulafile=mfr.frm formulaname=multifractal ismand=y function=cosxx/exp/exp passes=t center-mag=-1.57416329757323300/+0.23351258498469780/4263.066/1/97.50000\ 00000186304/-1.73527234248460616e-011 params=-0.8940855128635518/0.8105868709372235/384.00001/256.1133/4094.00\ 016/768.0003400000001/768.0076800000001/256.01024/18937.52/5 float=y maxiter=3072 inside=maxiter outside=tdis logmap=7 periodicity=0 rseed=-2436 sound=off colors=0000A1<3>0200000101221532653863A84DA5EB5HB<2>7NG8PI8RJ9TKAVNAXM<3\ >DdTDfVEhWFjYFlYGn_Gp`Prd<3>zzz<2>_ulRsgHqaHo`GmZFkXFiX<5>BYOAWMAUL9SK<4\ >6IC5GB5DA<3>254243121000001023025047049<5>0BL0DN0DP<4>0KZ0L`0Mb0Nd0Of0Q\ h<3>0Up4Yr8atCgvGkxKqz<3>4_s0Vq0Uo<12>0FQ0DO0DM<3>08E06C06A0480460240120\ 00100<12>R0LT0NV0PX0P<3>d0Wf0Yh0Z<3>p0e<3>xOtzUxyOuwIquCns6iq0g<2>k0bi0`\ g0_e0Z<3>Y0SW0RU0O<5>I0FG0EE0CC0A<3>304102010<4>0B10D10F10H20J20L20N2<2>\ 0T40V40X3<3>0d40f50h5<3>0p6<3>WxZczeUyY<2>0s8<4>0i60g60e60c4<2>0Y40W30U4\ <5>0I20G20E20C2 } ------------------------------------End-------------------------------------------------

1 0

Garden of perishability 2
by Multifrac＠t-online.de 16 Dec '15

16 Dec '15

So I tried to create a work of art and failed. For me it was a positive experience anyway. Be it. Now again diving into Anugama´s music. It´s not from this world and really makes you feel better if you´re sick from all the brainless aggression and brutality around you. Albrecht

1 0

Garden of Perishability
by Albrecht Niekamp 14 Dec '15

14 Dec '15

I will not supply any kind of explanation as I trust the reminder of our fractal community does not need any. ; https://www.cubbyusercontent.com/pl/MultifracArchive/_67536d81761949e592b93… ; Image Nr.31 Path MultifracArchive/New/Newgif Albrecht ----------------start par------------------------------------------------------------- 80540-01 { ; Garden of Perishability ; or ; The Reality of the impossible ; Dec 14, 2015 reset=2004 type=formula formulafile=mfr_14.frm formulaname=mfr_14_2 function=sin/exp/cosh/conj passes=t center-mag=-1.80201/0.118845/12.81691/1/-90/3.88578058618804789e-016 params=-0.05825983458967864/0.3785210730307932/80540.03595750267/11514.4\ 911030602/152048.0404808041/384.16048940327/384.00482000595/384.20076805\ 112/512.1007683001/768.20033200186 float=y maxiter=3071 inside=maxiter periodicity=0 rseed=-2436 sound=off colors=000hsJbpFWkBPf7Ia5CW27R13M01H00C0081253625B08H0CN0GU1K`3Pg6TmAYrE\ bvJfyOjzTnzZrxcuuhwpmyjqzduzYwzRyyKzwEzu8yr4wo1uk0qg0mc2hZ5cU9ZQFTLLOHSJ\ DZE9eA6k63q32u10x00z00z01y22v54r87lCAfHE_MITRMMXR<2>5kd2ph0sl0vp1ys3zv7z\ xDzyJxzPvzXszboxijvoett`qwWmzQizLeyG`wBXs7Sn4Nh2Jb0FW0BP07I15C327613A01F\ 00J00P12U36_5Bd8HiCNnGUrK`uPgxTmzYrzbvzfyyjzwnztrxquulwphyjbzdYzYTzRNy<2\ >89r45o13k01g00c20Z51U92QF5LL8HSDDZH9eM6kS3qX2ub0xg0zl0zp1yt2vw4ry7<2>_z\ ITxMMvR<2>5jd2eh0_l0Vp1Ps3Kv7FxDByJ7zP4zX1zb0xi0vo0tt2qw4mz7izBeyF`wKXsP\ SnVNh_JbeFWjBPn7Ir5Cv27x13z01z00z00y12w36t5Bp8HlC<3>gSTmMYrHbvDfy8jz5nz2\ rx1uu0wp0yj1zd3zY6zR9y<2>8Nr4To1Yk0bg0hc2lZ5qU9tQFwLLyHSzD<2>kx3qu2ur0xn\ 0zi0zd1y_2vU4rP7lJAfFE_AIT6MM3RG1WA0_50d20h02l04p17s3Bv7GxDLyJQzPWzX`zbe\ xijvoottsqwvmzxizzeyz`wzXsySnvN } ---------------------------end----------------------------------------------------------

1 0

Manowar Special
by Albrecht Niekamp 14 Dec '15

14 Dec '15

Manowar Special ; Modification using MFR14 Extension ; https://www.cubbyusercontent.com/pl/MultifracArchive/_67536d81761949e592b93… ; Image Nr.30 Path MultifracArchive/New/Newgif Albrecht ; -----------------------------Start Par------------------------------------------------ 40000-03 { ; Manowar Modification ; Time 0.03.53.44 Reso 1280-1024 ; Colormap Gallet18 ; Dec12, 2015 reset=2004 type=formula formulafile=mfr_14.frm formulaname=mfr_14_2 function=ident/ident/ident/ident passes=t center-mag=-0.68704988711188180/+0.26591968372188040/387.7576/1/-24.9999\ 999999998863/-5.33947885905661224e-013 params=-1.032322153386029/-0.1455732902005067/40000.32595750001/20000.05\ 06020602/152048.0404808025/0.160489403111/0.00482000595/256.1000003/512.\ 1000003/768.1000003 float=y maxiter=2048 inside=maxiter periodicity=0 rseed=-2436 sound=off colors=000<20>000000000<2>000110222<23>W_dX`eZbg<3>chn<9>FHJDFGACC<3>000\ 200<10>Q0JS0KV0M<3>c0T<30>906805704<2>402301000110<21>YYT__U``V<10>qqkrr\ lttn<2>xxrzztyys<11>aaW__UYYS<10>CCAAA8886<2>221000000<49>000 } -----------------------------------------------------------------------------------------

2 1

More music.
by John Wilson 13 Dec '15

13 Dec '15

I'm just catching up with the past four days mail... Thank you Albrecht for the goodies. I wonder if you and any other fractal "music" lovers are aware of this site? https://www.chromeexperiments.com/experiment/mandelbrot-explorer-2 John W.

2 1

Riza
by Albrecht Niekamp 13 Dec '15

13 Dec '15

A place for unusual experiences. Maybe some of you know. ; https://www.cubbyusercontent.com/pl/MultifracArchive/_67536d81761949e592b93… ; Albrecht ----------------start par--------------------------------------------------------------------------------------------------------- 21587-20 { ; Riza ; Time 0.03,12,30 Reso 1280-1024 ; A place for unsusual experiences reset=2004 type=formula formulafile=mfr_14.frm formulaname=mfr_14_2_21587 function=exp/cabs/acosh/cos passes=t center-mag=-0.49999999980969770/-0.77524170294010660/2202170/1/180 params=4.987654321987654/0/21587.64595767526/14523.4911030602/152048.040\ 4808001/384.16048940221/384.00482000595/128.1004240001/256.1007683001/38\ 4.20000800189 float=y maxiter=3071 inside=maxiter periodicity=0 rseed=-2436 sound=off colors=00001g00c20Z51U92QF5LL8HSDDZH9eM6kS3qX2ub0xg0zl0zp1yt2vw4ry7<2>_z\ ITxMMvR<2>5jd2eh0_l0Vp1Ps3Kv7FxDByJ7zP4zX1zb0xi0vo0tt2qw4mz7izBeyF`wKXsP\ SnVNh_JbeFWjBPn7Ir5Cv27x13z01z00z00y12w36t5Bp8HlC<3>gSTmMYrHbvDfy8jz5nz2\ rx1uu0wp0yj1zd3zY6zR9y<2>8Nr4To1Yk0bg0hc2lZ5qU9tQFwLLyHSzD<2>kx3qu2ur0xn\ 0zi0zd1y_2vU4rP7lJAfFE_AIT6MM3RG1WA0_50d20h02l04p17s3Bv7GxDLyJQzPWzX`zbe\ xijvoottsqwvmzxizzeyz`wzXsySnvNhsJbpFWkBPf7Ia5CW27R13M01H00C0081253625B0\ 8H0CN0GU1K`3Pg6TmAYrEbvJfyOjzTnzZrxcuuhwpmyjqzduzYwzRyyKzwEzu8yr4wo1uk0q\ g0mc2hZ5cU9ZQFTLLOHSJDZE9eA6k63q32u10x00z00z01y22v54r87lCAfHE_MITRMMXR<2\ >5kd2ph0sl0vp1ys3zv7zxDzyJxzPvzXszboxijvoett`qwWmzQizLeyG`wBXs7Sn4Nh2Jb0\ FW0BP07I15C327613A01F00J00P12U36_5Bd8HiCNnGUrK`uPgxTmzYrzbvzfyyjzwnztrxq\ uulwphyjbzdYzYTzRNy<2>89r45o13k } ------------------------------------------------------------------------------------------end----------------------------------------------

3 2

test #4 do not read
by Bill Jemison 11 Dec '15

11 Dec '15

test#4

1 0

test#3 don't read
by Bill Jemison 11 Dec '15

11 Dec '15

test3

1 0

filter test #2
by Bill Jemison 11 Dec '15

11 Dec '15

Sorry to bother everyone, but I'm trying to set up a filter per Tim's suggestion. If it works, I should be able to see this message. I tried the instructions from https://productforums.google.com/forum/?hl=en#!category-topic/gmail/compute… Not working. The following is what I have as shown in Settings->Filters and Blocked Addresses Matches: from:(bill.jemison@gmail.com via mailman.xmission.com OR to:fractint@mailman.xmission.com) Do this: Categorize as Forums Any Gmail filter gurus out there that can spot my error(s)?

1 0

filter test #1
by Bill Jemison 10 Dec '15

10 Dec '15

Sorry to bother everyone, but I'm trying to set up a filter per Tim's suggestion. If it works, I should be able to see this message. No replies necessary, thanks.

1 0

Sugar and Spice
by Albrecht Niekamp 10 Dec '15

10 Dec '15

Hi, a sweetie for today ; https://www.cubbyusercontent.com/pl/MultifracArchive/_67536d81761949e592b93… ; Image Nr.28 ; Albrecht --------------------------------Start Par----------------------------------------------------------------------------------------- 21547-04 { ; Sugar and Spice ; Mandel-Secant-Mmods-Manowar-Newton ; Time 0.05.02.47 Reso 1280-1024 ; Dec 09, 2015 reset=2004 type=formula formulafile=mfr_14.frm formulaname=mfr_14_1 function=zero/ident/ident/ident passes=t center-mag=-0.49968560371982100/-0.13589471900088540/114.1477/1/180 params=-0.05825983458967864/0.3785210730307932/21547.6459571202/14523.49\ 11030602/152048.0404808041/384.16048940221/384.00482000595/128.100768300\ 1/256.1007683001/384.1007683001 float=y maxiter=3071 inside=maxiter periodicity=0 rseed=-2436 sound=off colors=000<2>110110000KA4<7>gcOjgRmjT<3>zzc<9>UOFRKDOGA<3>A00<9>f0Ci0Dl0\ F<3>z0K<6>Z0EV0DR0C<3>A08004000<26>000<4>000<7>Q0UU0YX0a_0dc0hf0l<2>p0w<\ 4>_0dX0aU0Y<2>K0NH0JG0NE1R<3>7UX6`Z4h_2oa0wc<10>2WI2TG2RE<3>4G54D36F5<16\ >kkammcpoe<3>zwm<3>mhZjdVfaS<3>VMCRI8OE4KA0000<43>000<4>000330<12>110 } --------------------End--------------------------------------------------------------

2 1

Re: [Fractint] not seeing my posts (replies)
by Timothy Wegner 10 Dec '15

10 Dec '15

I thought I would answer Bill Jemison's question about not seeing his own posts here, since the answer might be of general interest. 1. Bill's posts have indeed been getting to the list. 2. There is a list option than you can control that determines whether you can see your own posts. Go to: https://mailman.xmission.com/cgi-bin/mailman/ listinfo/fractint then go to the very bottom option, which is somewhat frighteningly captioned "unsubscribe or edit options". Then give your password at the next screen in the top section (nope don't press the "unsubscribe" button unless that's really what you want.) Then go to the fourth option with the caption: >>> *Receive your own posts to the list?* Ordinarily, you will get a copy of every message you post to the list. If you don't want to receive this copy, set this option to *No*. >>>> But since the default is to see your posts, that is probably not Bill's problem. So, 3. If the above setting was "yes", then maybe your posts are suppressed by your email service. Google is your friend. I found this, but just try searching for "messages sent to mailing list not shown in gmail". Have a look at: https://webapps.stackexchange .com/questions/73779/messages-sent-to-mailing-list-not-shown-in-gmail My own email is actually Gmail, and for sanity I have a filter that sorts all my list mail into appropriate folders (if "folders" is the right word).. I just looked and my own Fractint posts seem to show up. 4. Finally, you can always check the archives to see if your message got posted. See: https://mailman.xmission.com/lurker/list/fractint.en.html. Probably no longer true, but when I clicked that link just now, the top message was Bill's message about not seeing his posts :-) Before I end, let me say that Paul N. Lee is in my thoughts. Most of us here are of a certain age; probably not too many Millennials are fans of DOS programs like fractint. That said, most of us hope we still have quite a few years left, but alas, some of us don't. Tim

1 0

not seeing my posts (replies)
by Bill Jemison 10 Dec '15

10 Dec '15

I don't see my replies to posts on the fractint list. I think they are getting through, but wondering why I can't see them? I use gmail on Firefox. My last post was Dec. 9, replying to Albrecht's "Flutter Bye" post. Any ideas, or is this as designed? Thanks, Bill Jemison bill.jemison(a)gmail.com

2 2

Flutter Bye
by Albrecht Niekamp 10 Dec '15

10 Dec '15

Another new one today. Image Nr.27 ; https://www.cubbyusercontent.com/pl/MultifracArchive/_67536d81761949e592b93… ; Albrecht -----------------------------------------------------------------------------------------start par-------------------------------- 13567-01 { ; Flutter Bye ; sec-bee-mmod-phoen-newt ; Time 0.24.07.08 Reso 1280-1024 ; Dec09, 2015 reset=2004 type=formula formulafile=mfr_14.frm formulaname=mfr_14_1 function=sin/exp/exp/sin passes=t center-mag=-1.43479120608037100/-0.02928659803655951/5394.75/1/-2.499999\ 99999347589/-3.02021602172075632e-011 params=-0.05825983458967864/0.3785210730307932/13567.07595702022/14235.4\ 911030602/150512.0404808048/384.3204896048/384.00482000595/128.300768859\ 1/256.3007684001/512.2007681001 float=y maxiter=3071 inside=maxiter outside=tdis periodicity=0 rseed=-2436 sound=off colors=000PJo<2>_5fc0ce7_jFRoNIzb0zj0000zr0zz1zzC<2>zzz<3>jqdfo_blU<3>Mb\ 8<3>LQ8KM8KJ8<2>I88H44G00<3>TA5WD6ZF7aI8eLAhMBiODjQF<3>qeBriAtm9vq8xu7zz\ 5zz4zz3<4>zj4zg4zc4<3>zS5zP5zL6zI6zE6wE6tD6<6>vAIv9Kv9M<3>x7Sy7Uy6Wz6Yz5\ _<3>f5Ma5IW4E<2>_4H<3>P3DN2CK2A<3>805G0BO0G<3>g0Ul0Xq0`v0d<2>y0fz0gy0h<3\ >u1mt1ns1or2q<2>v2u<3>c5eZ6`U6X<2>F9LAAG7FO4KW0Qc<3>5Xc6Zc7`c7aa7c_7eY<3\ >FcgHciJbl<3>S_v<3>civflvinvlqvotvsww<2>zzz<3>rwzovzhsw<3>Gch8_d8Xa<3>8J\ P8FL8CI<4>XCAaB9fB7<3>zA0<13>SA1QA1NA1<3>D92<6>UXAW`BYcC<3>hrI<3>UnXRm_N\ lcJkgFfpAaz<2>LOr } ------------------------------------------------------------------------------------------------------end---------------------------------

4 3

I have been battling...
by Hal Lane 09 Dec '15

09 Dec '15

> I have been battling cancer since January 2008. Paul, Thank you for being willing to share your challenges with the members of the [Fractint] list. I feel bad that you have had so many physical trials. And thank you for all your attentions to the members of this list, and all the time and effort you have devoted to fractals, fractal software and computing elsewhere, Paul. http://www.nahee.com/Fractals/ Revised Spanky Fractal Database: http://www.nahee.com/spanky/ http://www.nahee.com/PNL/Fractals.html http://www.nahee.com/ https://www.blogger.com/profile/08898206387741732050 http://www.nahee.com/Fractals/Contest1997/CONTEST.html etc. [There are also other fractal contest pages, hosted elsewhere:] http://www.fractalartcontests.com/1998/ http://www.fractalartcontests.com/1999/ http://www.fractalartcontests.com/2000/en/index.html on: https://www.fractalus.com/ Are either John or Nahee Enterprises able to continue to host your valuable pages? - Hal Lane ######################## # hallane(a)earthlink.net ######################## ------ P.N.L. said --------------------- You are lucky you are so well of, Albrecht. :-) I have been battling cancer since January 2008. I have had over a dozen surgical procedures, numerous sets of radiation treatments (where my skin was so "burned" it begin to liquefy), and years of chemo-therapy so intense at times, I had to be sent to Emergency because the "poisons" they gave me were killing me (such as my nails turning black and falling off). And now my newly grown liver (which 80 percent was cut out a year ago) has more lesions and is now failing, causing me sever edema. Plus, the additional lesions in my lung and lymph nodes are creating their own set of problems. The Palliative Care doctor this past afternoon says I should have about six weeks left to live, and if lucky, I might be able to stretch that to four to six months if they can control the fluid retention and keep what little functionality my liver currently has going that long. So, you do not not have that much to complain about. There are others who are much worse off than you. Sincerely, P.N.L. _______________________________________________ Fractint mailing list Fractint(a)mailman.xmission.com https://mailman.xmission.com/cgi-bin/mailman/listinfo/fractint --- This email has been checked for viruses by Avast antivirus software. https://www.avast.com/antivirus

2 1

mail problem ?
by sciwise＠ihug.co.nz 09 Dec '15

09 Dec '15

Just wondering if I'm still on the fractint mailing list.

7 8

From the Undead.
by John Wilson 09 Dec '15

09 Dec '15

I wonder if any "Fractal visionary and enthusiast" has any news of Jim? (I tried a personal note, but received no reply). Hope he's O.K. For Christmas I'd like a few nice insouciant fractals. Please? John W.

4 3

Re: [Fractint] subscribed ?
by David Jones 05 Dec '15

05 Dec '15

Got it via Fractint list. David W. Jones gnome(a)hawaii.rr.com authenticity, honesty, community http://dancingtreefrog.comOn Dec 4, 2015 09:08, sciwise(a)ihug.co.nz wrote: > > > > I'm just wondering if I'm still subscribed > > to the Fractint mail > list as a recent post that I sent > > doesn't appear to have been sent. > > > Perhaps I didn't include the fractint list and > > just sent it to another > recipient ; this message > > is directed solely at the Fractint list. > > > _______________________________________________ > Fractint mailing list > Fractint(a)mailman.xmission.com > https://mailman.xmission.com/cgi-bin/mailman/listinfo/fractint

3 2

subscribed ?
by sciwise＠ihug.co.nz 04 Dec '15

04 Dec '15

I'm just wondering if I'm still subscribed to the Fractint mail list as a recent post that I sent doesn't appear to have been sent. Perhaps I didn't include the fractint list and just sent it to another recipient ; this message is directed solely at the Fractint list.

1 0

I just discovered that the list serve removed some important...
by Hal Lane 26 Nov '15

26 Nov '15

I just discovered that the list serve removed some important text from my last post -- a control key combination. It seems to have started deleting characters when I included angle brackets. Here's another attempt to post the info: "The key combination Control-'n' where 'n' is the number of the tab, switches to displaying that tab's contents. As an example, I put these three images in my browser's first three tabs: (You can drag the tabs to the left if they're not there already.) http://www.emarketingiseasy.com/TESTS/Fractals/VltLtIndex07.jpg http://www.emarketingiseasy.com/TESTS/Fractals/VltLtIndex08.jpg http://www.emarketingiseasy.com/TESTS/Fractals/VltLtIndex09.jpg (Don't forget to click each image...) I then held the Control key down and quickly typed: 1, 2, 3, 1, 2, 3, 1,... to see the relationship between areas of the fractal with 7, 8, and 9 iterations." I've found that this works in most Windows browsers. - Hal Lane ######################## # hallane(a)earthlink.net ######################## --- This email has been checked for viruses by Avast antivirus software. https://www.avast.com/antivirus

2 1

Volterra Lotka ph ex
by sciwise＠ihug.co.nz 24 Nov '15

24 Nov '15

Using Hal Lane's formula , where p and h are settable parameters try : p 1.768736 h 0.5013054 use the default values forcorners. Top Left X 0 y 4.5 Bot-r X 6 y 0

2 2

V-HeunPH a limited region
by sciwise＠ihug.co.nz 21 Nov '15

21 Nov '15

The images that you are generating from my simple formula. in the p , h plane are fascinating ; perhaps you can do a similar treatment using these parameters. top left X 0.0025031289111390 y 0.8188647746243739 bottom right x 1.9949937421777222 y -0.6755031853255635 ----- vhpp.par ------------- test { reset=2004 type=formula formulafile=fractint.frm formulaname=V-HeunPH center-mag=0.998748/0.0716808/1.338358 float=y maxiter=2048 inside=bof61 outside=0 logmap=yes colors=(a)blues.map } --------- end par ------- I wasn't expecting the p , h plane ,to be overly complicated , however you can never tell when fractals are involved. The next step is to take the V-HeunPH values and use them with V-Heun. Using the vhpp.par file we obtaim a type of curve that's at the boundary between the unstable outside and the ultra stable inside ; values from this region are what I may initially use for V-Huen , however your explorations are suggesting other possibilities.

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Images from sciwise's corrected Volterra Lotka 'V-HeunPH' formula:
by Hal Lane 20 Nov '15

20 Nov '15

Images from sciwise's corrected Volterra Lotka 'V-HeunPH' formula: Anti-aliased. Click image to remove browser resampling, if needed. [Investigations]: http://www.emarketingiseasy.com/TESTS/Fractals/VHeunS03.jpg http://www.emarketingiseasy.com/TESTS/Fractals/VHeunS04.jpg http://www.emarketingiseasy.com/TESTS/Fractals/VHeunS05.jpg http://www.emarketingiseasy.com/TESTS/Fractals/VHeunS06.jpg http://www.emarketingiseasy.com/TESTS/Fractals/VHeunS07.jpg [Art Image]: http://www.emarketingiseasy.com/TESTS/Fractals/VHeunS08.jpg - 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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Load par file.
by sciwise＠ihug.co.nz 20 Nov '15

20 Nov '15

xfractint 20.04.10 Correction to load a *.par file I use the key sequence : @ F6 . And then select appropriate directory and file.

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FW: Volterra Lotka PH -- Error in formula corrected
by Hal Lane 19 Nov '15

19 Nov '15

Sorry for the long post... When sciwise posted the Volterra Lotka (VL) formula here Nov. 7th, 2015 (his post is forwarded below) he later mentioned to me in a private email (that he likely intended to be posted to the [Fractint] list) that he inadvertently cut off the last few characters. He got the original formula from (and posted his BASIC code) at FreeBASIC.net on this page: http://www.freebasic.net/forum/viewtopic.php?f=8&t=24016 I'll repeat here the original source post from that page below. My previously posted VL images were made with the originally posted formula with the missing bailout test code. I've found that it's hypersensitive to maxiter value, which makes sense if you think about it. Using the code with the missing bailout test I made several fractals with the same parms, except for different maxiter value & confirmed this. I show a quick look at the corrected formula's images below. Notes on the original *freebasic.net* source post below: -------------------------------------------------------- - Look at the "18 Aug 93" date! - There are 2 formulas: "V-Euler" and "V-Heun" -- the one which is similar to the one sciwise previously posted with the last few characters (the bailout test) cut off. I put more about this below. - A set of parameters is provided for a "V-Heun" image. - "BOF" = "The Beauty of Fractals" ... "[is an award-winning] 1986 book by Heinz-Otto Peitgen and Peter Richter which publicises the fields of complex dynamics, chaos theory and the concept of fractals. It is lavishly illustrated and as a mathematics book became an unusual success." - https://en.wikipedia.org/wiki/The_Beauty_of_Fractals You can look a few pages of the book here: http://tinyurl.com/Beauty-of-Fractals-Images-of or: http://www.amazon.com/The-Beauty-Fractals-Complex-Dynamical/dp/3642617190 I'm hoping to locate my copy somewhere in my storage shed... Original FreeBASIC.net source post: ------------------------------------------------ =================================================== received from Ramiro Perez <RPEREZ(a)EARN.UTPVM1> 18 Aug 93 Path: unixg.ubc.ca!news.mic.ucla.edu!library.ucla.edu!europa.eng.gtefsd.com!darwin .sura.net!paladin.american.edu!auvm!VAXB.MIDDLESEX.AC.UK!DAVID1 Comments: Gated by NETNEWS(a)AUVM.AMERICAN.EDU Newsgroups: bit.listserv.frac-l Via: uk.ac.mdx.vaxa; Mon, 27 Jun 1994 00:09:14 +0100 Message-ID: <FRAC-L%94062619112203(a)GITVM1.GATECH.EDU> Date: Mon, 27 Jun 1994 00:10:00 GMT Sender: "\"FRACTAL\" discussion list" <FRAC-L(a)GITVM1.BITNET> From: DAVID1(a)VAXB.MIDDLESEX.AC.UK Subject: Ramiro Perez Volterra .FRM Lines: 33 These are the Volterra-Lotka Formulas p 125 BOF received from Ramiro Perez: comment={received from Ramiro Perez <RPEREZ(a)EARN.UTPVM1> 18 Aug 93 } V-Euler{ x=real(pixel), y=imag(pixel), h=real(p1)/2: u=x-x*y, w=-y+x*y, c=x+h*(u+u), d=y+h*(w+w), x=c, y=d, z=x+flip(y), |z|<=p2 } V-Heun{ x=real(pixel), y=imag(pixel), p=real(p1), h=imag(p1)/2: u=x-x*y, w=-y+x*y, a=x+p*u, b=y+p*w, c=x+h*(u+(a-a*b)), d=y+h*(w+(-b+a*b)), x=c, y=d, z=x+flip(y), |z|<=p2 } Regards David Walter London england. VHeun { ; Volterra-Lottka reset=2004 type=formula formulafile=fractint.frm formulaname=V-Heun corners=0.000150015/6.00015/0/4.5 params=0.73899999999999999/0.73899999999999999/64/0 float=y maxiter=2048 inside=bof60 logmap=yes colors=(a)blues.map } ================================================== The above parm file "VHeun" (likely later than 1993) (with "frm:" added to the two formulas) creates: http://www.emarketingiseasy.com/TESTS/Fractals/VHeun00.gif which looks to be the built-in default Fractint VL fractal. NOTE: The original 1993 post above has this formula code: -------------------- V-Heun { . . . x=real(pixel), y=imag(pixel), p=real(p1), h=imag(p1)/2: -------------------- while sciwise's previously posted formula code has this code, which swaps the initialization of x & y with p & h 's initialization and vice versa: -------------------- V-HeunPH { . . . x=real(p1) y=imag(p1) p=real(pixel) h=imag(pixel): --------------------- The rest of the two formulas' (V-Heun/V-HeunPH) code is the same. Using: - Sciwise's corrected formula code (with his initialization mod above), - the same parm values as in the original 1993 post, - centered at (0, 0) with magnification 1.0, - with periodicity set to zero (to guarantee an accurate image -- at the expense of speed), produces this (anti-aliased) image: http://www.emarketingiseasy.com/TESTS/Fractals/VHeunS00.jpg (Click image to defeat browser resampling if needed.) And with a Paul Carlsonesque color map (taken from one of Albrect's parm files, I believe) the same image looks like this: http://www.emarketingiseasy.com/TESTS/Fractals/VHeunS01.jpg This is the par file and formula used for the above VHeunS00.jpg image: ---------------------------------------------------------------------------- -- VHeunS00 { ; sciwise's Volterra Lotka formula (with modified initialization) ; and bailout repair used. ; p, h variable. ; ; pars - taken from post with the 1993 V-Heun formula. ; frm - sciwise's modified ver of 1993 V-Heun formula: "V-HeunPH", repaired. ; reset=2004 type=formula formulafile=fractint.frm formulaname=V-HeunPH center-mag=0.0/0.0/1.0 params=0.73899999999999999/0.73899999999999999/64/0 float=y maxiter=2048 inside=bof60 logmap=yes colors=(a)blues.map } frm:V-HeunPH { ; Sciwise's FRM REPAIRED BY RESTORING BAILOUT TEST -HHL ; Also parameterized on initialization and bailout values. -HHL x=real(p1) y=imag(p1) p=real(pixel) h=imag(pixel): u=x-x*y w=-y+x*y a=x+p*u b=y+p*w c=x+h*(u+(a-a*b)) d=y+h*(w+(-b+a*b)) x=c y=d z=x+flip(y) |z|<=p2 } ---------------------------------------------------------------------------- ---------------------- Sorry for the over-long post. I think this is correct now. - Hal Lane ######################## # hallane(a)earthlink.net ######################## ======================================================= -----Original Message----- From: Fractint [mailto:fractint-bounces@mailman.xmission.com] On Behalf Of sciwise(a)ihug.co.nz Sent: Saturday, November 7, 2015 11:49 PM To: fractint(a)mailman.xmission.com Subject: [Fractint] Volterra Lotka PH This is the second part of the Volterra Lotka formulas , in this instance we are selecting an initial condition and varying the parameters p & h across the plane. There's now another FreeBASIC file to obtain the sequences from the map generated by V-HeunPH.frm . The coordinates I used were : Top left corner . -2.0 1.5 Bottom right corner . 2 -1.5 ---------------------------------------------------------------------------- ------- comment{Volterra Lotka , p , h variable . V-HeunPH.frm initial condition [ x = 0.8 , y=0.8 ], this initial condition might be determined from the V-Heun map . [ p , h ] varied over plane . x' = x - x*y y' = -y + x*y } V-HeunPH { x=0.8 y=0.8 p=real(pixel) h=imag(pixel): u=x-x*y w=-y+x*y a=x+p*u b=y+p*w c=x+h*(u+(a-a*b)) d=y+h*(w+(-b+a*b)) x=c y=d z=x+flip(y) |z| _______________________________________________ Fractint mailing list Fractint(a)mailman.xmission.com https://mailman.xmission.com/cgi-bin/mailman/listinfo/fractint --- --- This email has been checked for viruses by Avast antivirus software. https://www.avast.com/antivirus

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Long lines in the Fractint parm file in my last post wrapped.
by Hal Lane 19 Nov '15

19 Nov '15

I noticed that some long lines in the Fractint par file in my last post wrapped while being emailed/posted. They make Fractint unhappy trying to read them if you just grab them & paste them into a file. I shortened the lines below and they test as correct. For correct "final" images, be sure to use periodicity set to zero on the Passes Options screen -- type: <P> to set periodicity. (And set passes=1, too.) I added "periodicity=6" to the parms since I found I was getting Fractint's default periodicity=1 and an *inaccurate* image -- all too easily. - Hal ----- Corrected info & parm files -------------------------- Using: - Sciwise's corrected formula code (with his initialization mod above), - the same parm values as in the original 1993 post, - centered at (0, 0) with magnification 1.0, - with //periodicity set to zero// (to guarantee an accurate image -- at the expense of speed), produces this (anti-aliased) image: http://www.emarketingiseasy.com/TESTS/Fractals/VHeunS00.jpg (Click image to defeat browser resampling if needed.) And with a Paul Carlsonesque color map (taken from one of Albrect's parm files, I believe) the same image looks like this: http://www.emarketingiseasy.com/TESTS/Fractals/VHeunS01.jpg This is the par file and formula used for the above VHeunS00.jpg image: --- Start of PAR file --------------------------------------------- VHeunS00 { ; sciwise's Volterra Lotka formula ; (with modified initialization) ; and bailout repair used. ; p, h variable. ; ; pars - taken from post with the 1993 V-Heun formula. ; frm - sciwise's modified ver of 1993 V-Heun formula: ; "V-HeunPH", repaired. ; reset=2004 type=formula formulafile=fractint.frm formulaname=V-HeunPH center-mag=0.0/0.0/1.0 periodicity=6 params=0.73899999999999999/0.73899999999999999/64/0 float=y maxiter=2048 inside=bof60 logmap=yes colors=(a)blues.map } frm:V-HeunPH { ; Sciwise's FRM REPAIRED BY RESTORING BAILOUT TEST -HHL ; Also parameterized on initialization and bailout values. -HHL x=real(p1) y=imag(p1) p=real(pixel) h=imag(pixel): u=x-x*y w=-y+x*y a=x+p*u b=y+p*w c=x+h*(u+(a-a*b)) d=y+h*(w+(-b+a*b)) x=c y=d z=x+flip(y) |z|<=p2 } ----- End of PAR file ------------------------------------- Here's my parms with a Paul Carlson-esque color map: This is the par file and formula used for the VHeunS01.jpg image: http://www.emarketingiseasy.com/TESTS/Fractals/VHeunS01.jpg --- Start of PAR file --------------------------------------------- VltLotk1 { ; My parms w Carlsonesque color map reset=2004 type=formula formulafile=mfr_14.frm formulaname=V-HeunPH passes=1 center-mag=0.0/0.0/1.0 periodicity=6 params=0.8/0.8 float=y maxiter=512 inside=zmag periodicity=0 sound=off colors=000<2>110110000KA4<7>gcOjgRmjT<3>zzc<9>UOFRKDOGA<3>A00<9>f0Ci0Dl0\ F<3>z0K<6>Z0EV0DR0C<3>A08004000<26>000<4>000<7>Q0UU0YX0a_0dc0hf0l<2>p0w<\ 4>_0dX0aU0Y<2>K0NH0JG0NE1R<3>7UX6`Z4h_2oa0wc<10>2WI2TG2RE<3>4G54D36F5<16\ >kkammcpoe<3>zwm<3>mhZjdVfaS<3>VMCRI8OE4KA0000<43>000<4>000330<12>110 } frm:V-HeunPH { ; Sciwise's FRM REPAIRED BY RESTORING BAILOUT TEST -HHL ; Also parameterized on initialization and bailout values. -HHL x=real(p1) y=imag(p1) p=real(pixel) h=imag(pixel): u=x-x*y w=-y+x*y a=x+p*u b=y+p*w c=x+h*(u+(a-a*b)) d=y+h*(w+(-b+a*b)) x=c y=d z=x+flip(y) |z|<=p2 } ----- End of PAR 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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String World
by Albrecht Niekamp 19 Nov '15

19 Nov '15

Some time ago I presented the Bubble Universe, now here is the String World. 3 images using the manipulating features of MFR14. Images Nr. 23-25 https://www.cubbyusercontent.com/pl/MultifracArchive/_67536d81761949e592b93… ; Albrecht ; --------------------------start Par--------------------------------------------------- 21547-26 { ; String World 1 ; Mandel-Secant-ManyMods-Manowar-Newton ; Time 0.10.00.10 Reso 1280/1024 Bootstick ; Colors SG reset=2004 type=formula formulafile=mfr14.frm formulaname=mfr_14_1 function=zero/ident/ident/ident passes=t center-mag=-0.50000020517775400/+0.62012988982442040/1.629366e+012/1/-52\ .4965746794954669/-0.000239043566757760062 params=-0.05825983458967864/0.3785210730307932/21547.6459571202/14523.49\ 11030602/152048.0404808041/384.16048940221/384.00482000595/128.100768300\ 1/256.1007683001/384.1007683001 float=y maxiter=3071 inside=maxiter periodicity=0 rseed=-2436 sound=off colors=0002pVjwbkuQVYXAvg1BcvaXAlWvkl0YmIcAJeKbAVXmJ10t2UFstUkp4bKzIUCrD\ E98SSzeNOlwwGlD9N7X0bcmNB0jQMoq1Ofw`ZSL6Nf7gE_FMuciyBgoNtOpiQ4Tf_`boRYad\ zBq5KaOmfCDYqZxwo3P6uttXig07PCEqKAGoJoAeLUbD541RcXyjVjcylFw4cXZ61KtxAqM7\ feWKB7YeVJY19kDWjlK54oeFOHioHrvLVJPsKjf5Ccbb6lSYnFoQWQSeC_9wOi2_gHphRDKZ\ 8i5WxAQX65AxcpKJr`8ASx2zKtDRJo9UEkIsj1Iyv04RrmX_RaxapfYqPvuMa4Qoyc6Dc5VO\ f98NT30MOqS_IeIS2QN_ja70_GkHFefDj7twbZKCrMrijNGzYpm3yB2yaRy3Yje4bmwDCToz\ d5syZnfm97SNWfZGLlz010PRU3gfkEagMPyLVvCYfZQNXpZQvOowdRjsg8i1hZWs0lQkTv0_\ QDTs_lxPIN4MjBHg5jnU_XP2lKoVx8KeDmsoDRh_crkXEQ6JOIAO0FUpGrU_1H92NnoXYXax\ y`eVL8n711EbDQiPFTIK_Evn4bU7HKTBU_GNNQDXEv`roR5DuYlKbp_47UDKbcqHe8fYXVcp\ 3ruY47RJbt3GF4Gu8Na`HxKeJvbc6amLC`1dhwQAxa24Q2cJ_9G8RGHKQ2UOQ4gHDYwyu0ec\ u25uCniCZZxnt61bGgIljLomQ6l1Sri6b0K6f_vZ01j9sghPSah2Pt5 } 21547-28 { ; String World 2 ; Mandel-Secant-ManyMods-Manowar-Newton ; Time 0.10.19.00 Reso 1280/1024 Bootstick ; Colors SG reset=2004 type=formula formulafile=mfr14.frm formulaname=mfr_14_1 function=zero/ident/ident/ident passes=t center-mag=-0.50000020517818930/+0.62012988982377440/1.512454e+013/0.999\ 9/-62.5153264683909953/-0.0375564993000660971 params=-0.05825983458967864/0.3785210730307932/21547.6459571202/14523.49\ 11030602/152048.0404808041/384.16048940221/384.00482000595/128.100768300\ 1/256.1007683001/384.1007683001 float=y maxiter=3071 inside=maxiter periodicity=0 rseed=-2436 sound=off colors=0002pVjwbkuQVYXAvg1BcvaXAlWvkl0YmIcAJeKbAVXmJ10t2UFstUkp4bKzIUCrD\ E98SSzeNOlwwGlD9N7X0bcmNB0jQMoq1Ofw`ZSL6Nf7gE_FMuciyBgoNtOpiQ4Tf_`boRYad\ zBq5KaOmfCDYqZxwo3P6uttXig07PCEqKAGoJoAeLUbD541RcXyjVjcylFw4cXZ61KtxAqM7\ feWKB7YeVJY19kDWjlK54oeFOHioHrvLVJPsKjf5Ccbb6lSYnFoQWQSeC_9wOi2_gHphRDKZ\ 8i5WxAQX65AxcpKJr`8ASx2zKtDRJo9UEkIsj1Iyv04RrmX_RaxapfYqPvuMa4Qoyc6Dc5VO\ f98NT30MOqS_IeIS2QN_ja70_GkHFefDj7twbZKCrMrijNGzYpm3yB2yaRy3Yje4bmwDCToz\ d5syZnfm97SNWfZGLlzni0PRU3gfkEagMPyLVvCYfZQNXpZQvOowdRjsg8i1hZWs0lQkTv0_\ QDTs_lxPIN4MjBHg5jnU_XP2lKoVx8KeDmsoDRh_crkXEQ6JOIAO0FUpGrU_1H92NnoXYXax\ y`eVL8n711EbDQiPFTIK_Evn4bU7HKTBU_GNNQDXEv`roR5DuYlKbp_47UDKbcqHe8fYXVcp\ 3ruY47RJbt3GF4Gu8Na`HxKeJvbc6amLC`1dhwQAxa24Q2cJ_9G8RGHKQ2UOQ4gHDYwyu0ec\ u25uCniCZZxnt61bGgIljLomQ6l1Sri6b0K6f_vZ01j9sghPSah2Pt5 } 21547-30 { ; String World 3 ; Mandel-Secant-ManyMods-Manowar-Newton ; Time 0.10.18.85 Reso 1280/1024 Bootstick ; Colors SG reset=2004 type=formula formulafile=mfr14.frm formulaname=mfr_14_1 function=zero/ident/ident/ident passes=t center-mag=-0.50000020517821460/+0.62012988982378010/1.400421e+013/1.000\ 5/-62.5979189790724107/0.099222572141416332 params=-0.05825983458967864/0.3785210730307932/21547.6459571202/14523.49\ 11030602/152048.0404808041/384.16048940221/384.00482000595/128.100768300\ 1/256.1007683001/384.1007683001 float=y maxiter=3071 inside=maxiter periodicity=0 rseed=-2436 sound=off colors=000cU7IKTCU_HNNRDXFv`soR6DuZlKcp_57UEKbdqHf8fZXVdp3suY57RKbt4GF5G\ u9NaaHxLeJwbc7amMC`2dhxQAya25Q2dJ_AG8SGHLQ2VOQ5gHEYwzu0fcu35uDniDZZynt71\ bHgImjLpmQ7l1Tri7b0L6f`vZ01jAsgiPSbh2Qt53pVkwbluQWYXBvg2BcwaXBlWwkl1YmJc\ AKeKcAVYmJ20t3UFttUlp4cKzJUCsDEA8STzeOOlxwGmD9O7X1bcnNB1jQNoq2Ofx`ZTL6Of\ 7hE_GMudiyCgoOtOqiQ5Tf``bpRYbdzCq5LaOnfCEYq_xwp3P7utuXih07QCErKAHoJpAeMU\ bE542RcYyjWjczlFx4cYZ62KtyAqN7ffWKC7YfVJZ19lDWklK64ofFOIioIrvMVJQsKkf5Dc\ bc6lTYnGoQXQSfC_AwOj2_hHpiRDLZ8j5WyAQY65BxcqKJs`8BSx3zKuDRKo9VEkJsj2Iyw0\ 4SrmY_RbxaqfYrPvvMa5Qozc6Ec5WOfA8NU30NOqT_IfIS3QN`ja80_HkHGefEj7uwb_KCsM\ rjjNHzYqm3zB2zaRz3Yke4cmwECTpzd6sy_nfn97TNWgZGMlz010QRU4gflEahMPzLVwCYgZ\ QOXp_QvPoweRjtg8j1h_Ws0lQlTv1_QETs`lxQIN5MjCHg6jnV_XQ2lLoVy8KfDmtoDSh_dr\ kYEQ7JOJAO0FUqGrV_1I92OnoYYXbxyaeVM8n811FbDRiPGTIL_Ewn4 } ----------------------------------------------------End---------------------------------

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test
by sciwise＠ihug.co.nz 18 Nov '15

18 Nov '15

Some of my previous messages to the group appear to have gone astray. sciwise

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Re: [Fractint] Sciwise got me interested in his Volterra-Lotka fractals.
by Hal Lane 17 Nov '15

17 Nov '15

--- Mike Frazier said: ----- > Nice images Hal. Thanks. > Is the par file available? I got the formula from Sciwise in the Fractint list serve, and - copied a random parm file to get the formula started, - copied and pasted in a color map of Albrecht's, and - parameterized the formula. I set an initial parameter value of (0.8, 0.8) -- as did Sciwise. This creates Sciwise's 'parent' fractal: http://www.emarketingiseasy.com/TESTS/Fractals/VltLtk12.gif The described parm file is below. However, when I went to save additional parameter files -- of other images I had located in the parent -- I was unable to. I believe the problem is that I installed Richard's Fractint for Windows beta 5 (now renamed Iterated Dynamics) in too deep a folder, whose folder name overflowed a buffer when trying to save the zoomed in, stretched, rotated, etc. portion of the parent image -- when trying to save a new parm file. I need to reinstall Richard's program. I attempted to compensate for the lack of parm files in my Fractint post by trying to describe where I zoomed into a previous image. These descriptions are in my Fractint post of: Nov 12, 2015 at 4:03 am EST: http://tinyurl.com/Fractint-Post-2015-11-12-04-03 or: https://mailman.xmission.com/lurker/message/20151112.090325.42611adc.en.html I believe there's enough info in that post that you can reproduce my images by exploring yourself. Let me know if you have any problems, please. Sciwise also sent me additional descriptive info about his posts on Volterra Lotka fractals at freebasic.net -- but did not post it to the Fractint list. I could ask him if I can share his email to me with the Fractint list serve, if you want... He's working with Basic language programs that he's using to investigate Volterra Lotka fractals in ways that I don't fully understand currently. He said: >You might want to look at my recent uploads to freebasic.net >forum , project , fractal map , fracmap1.bas and >fracmap1a.bas. ### Start of Par file with SciWise's comments & frm: #### comment { Volterra Lotka , p , h variable. HHL: [Use: passes=1 maxiter=at least 512 I used: periodicity=0 I don't know if that's needed -- I just wanted to be safe while looking at a new fractal.] V-HeunPH.frm initial condition: [ x = 0.8 , y=0.8 ], this initial condition might be determined from the V-Heun map. [ p , h ] varied over plane. x' = x - x*y y' = -y + x*y This is the second part of the Volterra Lotka formulas , in this instance we are selecting an initial condition and varying the parameters p & h across the plane. There's now another FreeBASIC file to obtain the sequences from the map generated by V-HeunPH.frm . The coordinates I used were : Top left corner: -2.0, 1.5 Bottom right corner: 2, -1.5 } VltLotk1 { reset=2004 type=formula formulafile=mfr_14.frm formulaname=V-HeunPH passes=1 center-mag=0.0/0.0/1.0 params=0.8/0.8 float=y maxiter=512 inside=zmag periodicity=0 sound=off colors=000<2>110110000KA4<7>gcOjgRmjT<3>zzc<9>UOFRKDOGA<3>A00<9>f0Ci0Dl0\ F<3>z0K<6>Z0EV0DR0C<3>A08004000<26>000<4>000<7>Q0UU0YX0a_0dc0hf0l<2>p0w<\ 4>_0dX0aU0Y<2>K0NH0JG0NE1R<3>7UX6`Z4h_2oa0wc<10>2WI2TG2RE<3>4G54D36F5<16\ >kkammcpoe<3>zwm<3>mhZjdVfaS<3>VMCRI8OE4KA0000<43>000<4>000330<12>110 } frm:V-HeunPH { x=real(p1) y=imag(p1) p=real(pixel) h=imag(pixel): u=x-x*y w=-y+x*y a=x+p*u b=y+p*w c=x+h*(u+(a-a*b)) d=y+h*(w+(-b+a*b)) x=c y=d z=x+flip(y) |z| } ######### End of Par file ################### - Hal Lane ######################## # hallane(a)earthlink.net ######################## -----Original Message--------------------------------------------- From: Fractint [mailto:fractint-bounces@mailman.xmission.com] On Behalf Of Mike Frazier Sent: Monday, November 16, 2015 9:21 AM To: Fractint and General Fractals Discussion <fractint(a)mailman.xmission.com> Subject: Re: [Fractint] Sciwise got me interested in his Volterra-Lotka fractals. Nice images Hal. Thanks for posting them. Is the par file available? -- Mike Frazier www.fracton.org _______________________________________________ Fractint mailing list Fractint(a)mailman.xmission.com https://mailman.xmission.com/cgi-bin/mailman/listinfo/fractint --- This email has been checked for viruses by Avast antivirus software. https://www.avast.com/antivirus

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Re: [Fractint] Sciwise got me interested in his Volterra-Lotka fractals.
by Hal Lane 16 Nov '15

16 Nov '15

I've done a bit more investigating of sciwise's Volterra-Lotka fractal formula. I'm showing my "investigations" in addition to finalized art images. If you want only the final "artistic" images, I identified those. Look for: "[ART IMAGE]s", if you want to skip over the "investigation" images. If needed, click once on all of the 1200 x 900 pixel images -- and/or (maybe) make your browser full screen. I used two tabs in my browser for viewing these images so I could keep two images open which allowed me to see the relationships between the two, as I elaborate below. Here again is sciwise's parent Volterra-Lotka fractal initialized with the default (0.8, 0.8) stretched ~10X vertically: http://www.emarketingiseasy.com/TESTS/Fractals/VltLtk13.gif Parameters varied from (0.00010, 0.00010) to (0.99990, 0.99990) : http://www.emarketingiseasy.com/TESTS/Fractals/VltLtk14.gif The upper right corner image (0.99990, 0.99990) of VltLtk14.gif looked like it might have interesting areas in it: http://www.emarketingiseasy.com/TESTS/Fractals/VltLtk15.gif The "knee" area of VltLtk15.gif, below & to the right of center: http://www.emarketingiseasy.com/TESTS/Fractals/VltLtk17.gif The boxed area in VltLtk17.gif enlarged turned out to not be very interesting: http://www.emarketingiseasy.com/TESTS/Fractals/VltLtk18.gif The top dozen or so pixels at the very tip of the vertical straight line above and to the left of center in VltLtk15.gif, when enlarged, has quite a variety of seemingly unrelated -- but potentially interesting -- features: http://www.emarketingiseasy.com/TESTS/Fractals/VltLtk19.gif The left "hook" at the bottom of VltLtk19.gif: http://www.emarketingiseasy.com/TESTS/Fractals/VltLtk20.gif I suspected the patterns in the chaotic-looking area in the "cup" of the "hook" to be Moire fringes, since they looked to be aligned to 0, 22.5, and 45 degree orientations. So, ever a glutton for punishment, I enlarged VltLtk20.gif 's "cup", which revealed the regular structure of the "cup" and showed Moire fringes at 0 and 45 degrees (near the upper left corner.) http://www.emarketingiseasy.com/TESTS/Fractals/VltLtk21.gif But, for some reason, the fringes / interference patterns went wild on the right side of the cup, and made star-like patterns: http://www.emarketingiseasy.com/TESTS/Fractals/VltLtk24.jpg VltLtk21.gif above also reveals the color map. I believe I took the map from one of Albrecht's images: "Thanks, Albrecht!" http://www.emarketingiseasy.com/TESTS/Fractals/VltLtk21.jpg Please view the following two images without browser resampling: Thanks! [ART IMAGE] Here's the top of the "roller coaster track" in VltLtk15.gif enlarged. I skewed the triangular areas to try to compose them into the image as best as I could. There's a lot of interesting stuff going on here: http://www.emarketingiseasy.com/TESTS/Fractals/VltLtk22.gif [ART IMAGE] This is the area where the "bite is taken out of" (or "cup" is indented into) the lower right corner of the left triangle of VltLtk22.gif : It's tricky to verify the relationship between the corresponding areas in the two images visually since I rotated the color map, which made many features look a bit different. http://www.emarketingiseasy.com/TESTS/Fractals/VltLtk23.gif Comments welcome on the investigation process, and on the images. Thanks, - 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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4k UHD Monitor
by Albrecht Niekamp 15 Nov '15

15 Nov '15

Hi, sorry I had to to close my archives for some days as I needed the cloud space for multimedia purposes.Now they are back online but the link has changed. ; https://www.cubbyusercontent.com/pl/MultifracArchive/_67536d81761949e592b93… ; Some news: I bought a new UHD (4K) TV, Panasonic TX-50CXW704 with extreme image quality.This has a special 1920/1080 HDMI computer modus which improves the image quality of your desktop by upsampling and further sharpening. In DOS mode supplied by my bootstick all Nvidia Vesa modes are available For 16/9 this means up to 1280/1024 but apparently with the double amount of details. The images are unbelievably sharp and the colors are different, a lot different and more interesting. Sadly this effect gets lost if I´m watching these images with a 32bit Image viewer like Irfan viewer or similar. Maybe a viewer with 4k capacity would make a difference.It would show only a quarter of the DOS image on the desktop. Do you Know any? The attached Demo image (Nr.21) therefore is not the same as in DOS mode, but maybe with a better viewer things change. Please tell me. Albrecht

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Re: [Fractint] Sciwise got me interested in his Volterra-Lotka fractals.
by Hal Lane 10 Nov '15

10 Nov '15

P.N.L., Thanks for your comments -- and a "shout out" to the silent majority -- the lurkers! > I like this one [ > http://www.emarketingiseasy.com/TESTS/Fractals/VltLtkF0.gif > ] as well. The "rainbow" of colors really makes this stand out. The color map is taken from a 1998 contest image. "Leather Gem - by Damascena Korwen": http://www.emarketingiseasy.com/TESTS/Fractals/LeatherGem.gif I think she really nailed the leather colors, don't you? It's a really nice fractal, too. I try and remember to give her credit for her color map when I use it, but I lose track of the spelling of her name and have to search for it... I made several versions of her map -- reversed, rotated, etc. I occasionally used her map when doing variations on Jim Muth's FOTD images. But I most often kept Jim's original choice of colors. > The stretching [of Sciwise's Volterra-Lotka parent fractal] is much > more interesting than the unstretched parent version. I learned to try stretching after seeing Jim do it in some of his images. It can sometimes make a nondescript thin feature turn into a garden or a palace, or... - Hal Lane ######################## # hallane(a)earthlink.net ######################## -----Original Message----- From: Fractint [mailto:fractint-bounces@mailman.xmission.com] On Behalf Of Paul N. Lee Sent: Tuesday, November 10, 2015 2:31 AM To: fractint(a)mailman.xmission.com Subject: Re: [Fractint] Sciwise got me interested in his Volterra-Lotka fractals. Hal Lane wrote: > > This is the default *Fractint* Volterra- Lotka fractal (a very fast > fractal) with the Leather Gem color map: > http://www.emarketingiseasy.com/TESTS/Fractals/VltLtkF0.gif I like this one as well. The "rainbow" of colors really makes this stand out. :-) > > ...and the parent again, stretched *only* vertically (by a factor of > about 10): > http://www.emarketingiseasy.com/TESTS/Fractals/VltLtk13.gif The stretching is much more interesting than the unstretched parent version. Sincerely, P.N.L. _______________________________________________ Fractint mailing list Fractint(a)mailman.xmission.com https://mailman.xmission.com/cgi-bin/mailman/listinfo/fractint --- This email has been checked for viruses by Avast antivirus software. https://www.avast.com/antivirus

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Re: [Fractint] Sciwise got me interested in his Volterra-Lotka fractals.
by Hal Lane 10 Nov '15

10 Nov '15

Paul said: > Interesting final image. Thanks! And I thank Sciwise, too -- for the formula -- and a chance to get back to calculating fractals. > If you decide to do further explorations, please > share the results with us. Sure. See below. It was only after I had done the Evolver exploration that I noticed that the parameters I was evolving were the initial conditions. It appears from the Evolver images (that I put links up for before) that these equations are not dramatically sensitive to initial conditions... ...with the exception that the formula doesn't like initial conditions of real or imaginary values of *exactly* zero or one. I used 0.0001 and 0.9999 when I was evolving. I'm doing further evolving on the *parent* of Sciwise's Volterra-Lotka fractal as I type this -- it looks like there may be a bit more action with the parent... I forgot to mention that I did a small amount of vertical stretching of the images in my previous post, and used one of the recommended coloring methods, zmag. I should also try bof60 coloring, too -- but it seems to me that the coloring method wouldn't likely be too important for all the "confetti" areas... This is the default *Fractint* Volterra-Lotka fractal (a very fast fractal) with the Leather Gem color map: http://www.emarketingiseasy.com/TESTS/Fractals/VltLtkF0.gif Again, be sure to not let your browser resample the images -- just click them once if they've been resized to fit. This is *Sciwise's* Volterra-Lotka parent fractal: http://www.emarketingiseasy.com/TESTS/Fractals/VltLtk12.gif and the parent again, stretched *only* vertically (by a factor of about 10) : http://www.emarketingiseasy.com/TESTS/Fractals/VltLtk13.gif My fractals in my previous post were zoomed into the center of Sciwise's parent Volterra-Lotka fractal. - Hal Lane ######################## # hallane(a)earthlink.net ######################## -----Original Message----- From: Fractint [mailto:fractint-bounces@mailman.xmission.com] On Behalf Of Paul N. Lee Sent: Monday, November 9, 2015 3:11 PM To: fractint(a)mailman.xmission.com Subject: Re: [Fractint] Sciwise got me interested in his Volterra-Lotka fractals. Hal Lane wrote: > > ...found some variation as a function > of the two parameters. I then: > - selected a thumbnail image in the Evolver, > - exited the Evolver, > - set Single Pass, and > - raised maxiter from 512 to 2048 (I think it was), and got this > image: > http://www.emarketingiseasy.com/TESTS/Fractals/VltLtk11.gif > Interesting final image. Could be some possibilities on what one may produce with this. If you decide to do further explorations, please share the results with us. ;-) Sincerely, P.N.L. _______________________________________________ Fractint mailing list Fractint(a)mailman.xmission.com https://mailman.xmission.com/cgi-bin/mailman/listinfo/fractint --- This email has been checked for viruses by Avast antivirus software. https://www.avast.com/antivirus

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Sciwise got me interested in his Volterra-Lotka fractals.
by Hal Lane 09 Nov '15

09 Nov '15

Sciwise got me interested in trying his formula for Volterra-Lotka fractals. First I made his 'x' and 'y' initialization constants into parameters and then had Fractint's Evolver vary them from (0,0) to (1,1) in a quick & dirty Solid Guessing mode: http://www.emarketingiseasy.com/TESTS/Fractals/VltLtka7.gif I then zoomed into the parameter space nearer to the (0.0) [lower left corner.]: http://www.emarketingiseasy.com/TESTS/Fractals/VltLtka9.gif and found some variation as a function of the two parameters. I then: - selected a thumbnail image in the Evolver, - exited the Evolver, - set Single Pass, and - raised maxiter from 512 to 2048 (I think it was), and got this image: http://www.emarketingiseasy.com/TESTS/Fractals/VltLtk11.gif Be sure to not let your browser resample the image -- just click on it once. Sciwise's use of the Volterra-Lotka equations gives quite a different image from Fractint's built in Volterra-Lotka fractal. I used Richard's Fractint for Windows beta 5 (now called Iterated Dynamics) http://tinyurl.com/FractInt-for-Win-beta5 or: https://legalizeadulthood.wordpress.com/2007/04/13/fractint-for-windows-beta -5/ running on Windows 8.1(!) for the first time to create these images. Sorry to not have the PAR file, but I overflowed a buffer in the code and crashed the program while trying to save the PAR file -- likely due to my having too long a directory name. - Hal Lane ######################## # hallane(a)earthlink.net ######################## -----------Original Message------------- Author: sciwise Date: 2015-11-07 23:49 -500 To: fractint Subject: [Fractint] Volterra Lotka PH This is the second part of the Volterra Lotka formulas , in this instance we are selecting an initial condition and varying the parameters p & h across the plane. There's now another FreeBASIC file to obtain the sequences from the map generated by V-HeunPH.frm . The coordinates I used were : Top left corner: -2.0 1.5 Bottom right corner: 2 -1.5 ---------------------------------------------------------------------------- ------- comment{ Volterra Lotka , p , h variable . V-HeunPH.frm initial condition [ x = 0.8 , y=0.8 ], this initial condition might be determined from the V-Heun map . [ p , h ] varied over plane . x' = x - x*y y' = -y + x*y } V-HeunPH { x=0.8 y=0.8 p=real(pixel) h=imag(pixel): u=x-x*y w=-y+x*y a=x+p*u b=y+p*w c=x+h*(u+(a-a*b)) d=y+h*(w+(-b+a*b)) x=c y=d z=x+flip(y) |z| } --- --- This email has been checked for viruses by Avast antivirus software. https://www.avast.com/antivirus

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Volterra Lotka PH
by sciwise＠ihug.co.nz 08 Nov '15

08 Nov '15

This is the second part of the Volterra Lotka formulas , in this instance we are selecting an initial condition and varying the parameters p & h across the plane. There's now another FreeBASIC file to obtain the sequences from the map generated by V-HeunPH.frm . The coordinates I used were : Top left corner . -2.0 1.5 Bottom right corner . 2 -1.5 ----------------------------------------------------------------------------------- comment{Volterra Lotka , p , h variable . V-HeunPH.frm initial condition [ x = 0.8 , y=0.8 ], this initial condition might be determined from the V-Heun map . [ p , h ] varied over plane . x' = x - x*y y' = -y + x*y } V-HeunPH { x=0.8 y=0.8 p=real(pixel) h=imag(pixel): u=x-x*y w=-y+x*y a=x+p*u b=y+p*w c=x+h*(u+(a-a*b)) d=y+h*(w+(-b+a*b)) x=c y=d z=x+flip(y) |z|

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