Sciwise, Thanks for the new parameter set. I investigated some of the images it makes... I tried to repair the lines in your par file that the emailing chopped up... Are my images correct? <--<< As always, please make sure to view the images full size. The repaired parameter file that I used is pasted below. The best image is the last image, but if you're in a hurry, and can only look at one or two images, here's the last one again: It has a more colorful color map than Sciwise used. Note that this image has only 14 colors in it -- not counting black. http://www.emarketingiseasy.com/Sciwise/S170116P.jpg I used Richard's Fractint for windows beta 5 (not for general distribution) under Windows 10, and zoomed Sciwise's original par file's image out to get a "parent" fractal, and centered it. He has a very small number of colors in the color map: http://www.emarketingiseasy.com/Sciwise/S170116Z.jpg A zoom into the central more organized "keystone" area: http://www.emarketingiseasy.com/Sciwise/S170116A.gif http://www.emarketingiseasy.com/Sciwise/S170116B.gif A zoom into the top 3rd of S170116B: http://www.emarketingiseasy.com/Sciwise/S170116C.gif An enlargement of the "lake: in S170116C: http://www.emarketingiseasy.com/Sciwise/S170116D.gif The little "island" just above the main figure in S170116A rotated 90 degrees and enlarged: http://www.emarketingiseasy.com/Sciwise/S170116E.gif The main figure in the left half of the island: http://www.emarketingiseasy.com/Sciwise/S170116F.gif The main figure in the right half of S170116F: http://www.emarketingiseasy.com/Sciwise/S170116G.gif Black lace in the top center of S170116G: http://www.emarketingiseasy.com/Sciwise/S170116H.gif The following images have: - Maxiter changed from 1024 to 5000, and - periodicity raised from 1 to 6 to prevent "horizontal streaking". Topmost bud of parent fractal: http://www.emarketingiseasy.com/Sciwise/S170116K.gif A zoom into the right side of S170116K: http://www.emarketingiseasy.com/Sciwise/S170116Q.gif I wanted to clearly see where the number of iterations changed in S170116Q, since these images have relatively few iterations in them. I looked for a color map to show this and found a non-fractint-supplied one: Orange16.map which does this quite well: http://www.emarketingiseasy.com/Sciwise/S170116R.gif The ellipse inside the top bud of the parent fractal S170116Z is kind of interesting: http://www.emarketingiseasy.com/Sciwise/S170116L.gif Spiderwebs on the right end of the ellipse: http://www.emarketingiseasy.com/Sciwise/S170116M.gif Spiderwebs on the right end of the ellipse -- anti-aliasing provides an increase in the quality of the details in the image : http://www.emarketingiseasy.com/Sciwise/S170116N.jpg To add a little more color to S170116M, I loaded the Fractint-supplied (I think) color map: froth316.map: Note that this image has only 14 different colors in it! http://www.emarketingiseasy.com/Sciwise/S170116P.jpg - Hal Lane ######################## # hallane@earthlink.net ######################## --------- Begin Parameter file: ------------- comment { To: Fractint <fractint-bounces@mailman.xmission.com>; on behalf of; sciwise@ihug.co.nz Date: Mon 1/16/2017 6:00 AM Subj: [Fractint] DiffNewt 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=00000000d00f00h00i00k00m0ew0fx0hx0iy0ky\ 0mznwzpwzrxzzzz7zz6zz4zz3zz2zz0zz07z06z04z03z0\ 2z00z002000000 } frm: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| } --------- End Parameter file ---------------- --- This email has been checked for viruses by Avast antivirus software. https://www.avast.com/antivirus