Here are links to a few images using Sciwise's parameter set. The email systems seem to have relatively new procedures added that "clean up" email formatting, making parameter sets fail in Fractint. I've repaired them in order to run his parameter set, but my repaired version of his parameter set pasted below will be again rendered unable to be run by Fractint... So, I've also put the repaired version of his parameter set onto my server: http://tinyurl.com/170119dEQ-pars or: http://www.emarketingiseasy.com/Sciwise/170119dEQ.PAR Viewing the images full size prevents your browser from resampling and degrading the images. I increased Maxiter from 1024 to 2048, and increased periodicity from 1 to 4. Parent fractal: I manually added shades of cyan, magenta, yellow & gray to the original red, green and blue color map to eliminate un-color-mapped pixels in the image. The Fractint Color Editor: <e> turns out to be easy to use if you're only entering a few new colors. http://www.emarketingiseasy.com/Sciwise/S170119Z.gif An anti-aliased zoom into the rotated left figure: http://www.emarketingiseasy.com/Sciwise/S170119A.jpg To see the image that I calculated as the input to the anti-aliasing process for the image above, here's that same image, except 5 times larger in width and height (1.4 MB). It's fun to scroll and pan around inside the 6000 x 4500 pixel image -- although the colors are a little garish: http://www.emarketingiseasy.com/Sciwise/S170119A.gif A zoom into the 90 degree rotated right side of the parent: http://www.emarketingiseasy.com/Sciwise/S170119B.gif A slightly rotated zoom into the upper right area of: S170119A is an interesting mix of lacy and strongly colored areas: http://www.emarketingiseasy.com/Sciwise/S170119C.gif The tiny central yellow island below S170119A's main figure: http://www.emarketingiseasy.com/Sciwise/S170119D.gif And, finally, the top horizontal island above the main figure in S170119A. The central three areas of gray are colored that way because I didn't put colors into the color map for them -- I didn't realize there were areas of the fractal that had that high an iteration count: http://www.emarketingiseasy.com/Sciwise/S170119E.gif In the above image, the right hand "bulls eye" shows the colors, in sequence, loaded into the color map, starting with bright red in color map location one. If your move your eye from the center of the bulls eye down towards "7 o'clock" you'll see the entire color map's color range, and then the gray colors I didn't modify. And that color map -- I added the 2nd and 3rd row entries: http://tinyurl.com/S170119-cmap or: http://www.emarketingiseasy.com/Sciwise/S170119cmap.jpg - Hal Lane ######################## # hallane@earthlink.net ######################## comment { 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. } 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=@chroma.map } frm: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| } test-w-more-colors { ; Added magenta, cyan, ; yellow & gray shades ; of color. ; Fractint Version 2099 Patchlevel 8 reset=2099 type=formula formulafile=170119dEQ.PAR formulaname=d2jamandelbrot passes=1 corners=-2.054024/1.177097/-1.21167/1.21167 float=y maxiter=1024 inside=bof60 outside=0 logmap=yes colors=000z00<3>K000z0<3>0K000z<3>00Kz0z<3>K0K0zz<\ 3>0KKzz0<3>KK0AA0zzz<3>KKKAAAccc<216>ccc } -------- End of Parameter file ------ --- This email has been checked for viruses by Avast antivirus software. https://www.avast.com/antivirus