Here are some further variations on/investigations into Albrecht's recently posted (April 17, 2017) older fractal, mf102-x1. Albrecht's comment in his PAR file (below my signature) is: "PV from a preliminary MFR experiment" Be sure to view these images at full size in your browser! Parent Fractal ------------------- The parent fractal has two interesting discontinuities -- like fault lines -- one cutting across it, and the other cutting it off at the bottom. If you mentally expand the area between these fault lines outward from the center -- to "line up" the fractal's features above and below the top fault line -- it appears that the area between the fault lines has been "shrunk" by a small amount: http://www.emarketingiseasy.com/Albrecht/2017/A170417Z.gif The bottom left side of the parent fractal has a "tail" (anti-aliased X5): No "jaggies" (single pixel stair-steps) in the gentle curve at the left edge in the anti-aliased version! http://www.emarketingiseasy.com/Albrecht/2017/A170417Y.jpg The "fault tail at the edge of the world": http://www.emarketingiseasy.com/Albrecht/2017/A170417X.gif A muted study in brown: http://www.emarketingiseasy.com/Albrecht/2017/A170417W.gif The bottom center of the parent looks like it has a lot of potential: http://www.emarketingiseasy.com/Albrecht/2017/A170417V.gif There are definitely lots of places worth investigating here! : And that doesn't even reflect the possibilities of rotating the color map... http://www.emarketingiseasy.com/Albrecht/2017/A170417U.jpg Color map: http://www.emarketingiseasy.com/Albrecht/2017/A170417m.jpg Note: - The parameter sets below have X_Magnification_Factor set to 0.75 as a workaround for Richard's Fractint for Windows beta 5 (not for general distribution.) For use in DOS Fractint or XFractint, change the .75 to 1.0 -- either manually, after loading the parameter set into Fractint: <z> <F6> <edit XmagFactor> <Enter> <Enter> for each of my parm sets loaded using the <@> or <2> screen. Alternatively, edit each parm set's ".75" value in your copy of the parm file (pasted below.) E.g.: Change the ".75.": center-mag=317.131/2.27374e-013/0.0009910927/.75/90 to: "1.0" in the "center-mag" specification: center-mag=317.131/2.27374e-013/0.0009910927/1.0/90 Note: - My version: http://www.emarketingiseasy.com/Albrecht/2017/A170417A.gif of the fractal that Albrecht posted on 2017-04-17 is slightly different from his original: http://www.emarketingiseasy.com/Albrecht/2017/2017-04-17_MF215-X1.GIF In addition to a slightly different aspect ratio between our images, some areas of black in his fractal have non-black colors in them in my version. I don't know what caused the difference. - Hal Lane ######################## # mailto:hallane@earthlink.net ######################## ======= Albrecht's and my parms -- and his formula for 2017-04-17: ====== comment { This Image found today. A zoom into one of the thousands of images saved during the preliminary multifractal stages. MultifractalArchive\New\NewGif\MF215-x1 Link: https://1drv.ms/f/s!AmWYApv7ZBFGgk0ZUYt0OoehcWNb Cheers Albrecht ==================================================== On 18.04.2017 07:40, Harold Lane wrote:
Is that formula still available, or was it superseded and is no longer available? Just copy the list from the archive. The frm is part of multi5.frm. Albrecht
https://onedrive.live.com/?authkey=%21ABlRi3Q6h6FxY1s&id=461164FB9B029865%21 333&cid=461164FB9B029865 "onedrive" > MultifracArchive > Visual > Archive > Formulas > multi5.frm } mf102-x1 { ; PV from a preliminary MFR experiment ; Apr17/2017 reset=2004 type=formula formulafile=multi.frm formulaname=Multifrac_215 function=exp passes=t center-mag=1.09497/-4.21885e-015/0.7534659/1/90/3.88578058618804789e-016 params=768/1024/512/245/0.75/0.375 float=y maxiter=1024 inside=maxiter outside=tdis periodicity=0 sound=off colors=000<11>000000000<3>000330<11>110110110<3>000KA4<7>gcOjgRmjT<3>zzc\ <9>UOFRKDOGA<3>A00<9>f0Ci0Dl0F<3>z0K<6>Z0EV0DR0C<3>A08004000<26>000<4>00\ 0<9>X0a_0dc0h<3>p0w<4>_0dX0aU0Y<2>K0NH0JG0NE1R<3>7UX6`Z4h_2oa0wc<11>2TG2\ RE3OC<3>4D3<17>kkammcpoe<3>zwm<6>cYO`UKYQG<3>KA0000<30>000 } frm:Multifrac_215 { ; Albrecht Niekamp feb,03 ;p3=julia seed fac=real (p1) bailout=imag(p1) out=real (p2) border=imag(p2) z=pixel c=p3 t=0 start=1 x=0 y=0 : y2=y*y x2=x*x x=x2-y2-real(c) y=2*x*y-imag(c) z=(z*x)^(z*y) if (start) t=t+1 if (|z|>=border) || (t>out) u=2*(fn1(t/fac)) z=pixel c=p3*u start=0 x=0 y=0 endif endif |z| <=bailout } mf102-x1_parent { ; PV from a preliminary MFR experiment ; Apr17/2017 Albrecht Niekamp ; Parent fractal parameters by Hal Lane ; Fractint Version 2099 Patchlevel 8 reset=2099 type=formula formulafile=170417.PAR formulaname=multifrac_215 function=exp passes=1 center-mag=317.131/2.27374e-013/0.0009910927/.75/90 params=768/1024/512/245/0.75/0.375 float=y maxiter=1024 inside=maxiter outside=tdis periodicity=0 sound=off colors=000<11>000000000<3>000330<11>110110110<3>00\ 0KA4<7>gcOjgRmjT<3>zzc<9>UOFRKDOGA<3>A00<9>f0Ci0Dl\ 0F<3>z0K<6>Z0EV0DR0C<3>A08004000<26>000<4>000<7>Q0\ UU0YX0a_0dc0hf0l<2>p0w<4>_0dX0aU0Y<2>K0NH0JG0NE1R<\ 3>7UX6`Z4h_2oa0wc<10>2WI2TG2RE<3>4G54D36F5<16>kkam\ mcpoe<3>zwm<3>mhZjdVfaS<3>VMCRI8OE4KA0000<30>000 } mf102-x1_Y { ; PV from a preliminary MFR experiment ; Apr17/2017 Albrecht Niekamp ; Fractal parameters by Hal Lane ; Fractint Version 2099 Patchlevel 8 reset=2099 type=formula formulafile=170417.PAR formulaname=multifrac_215 function=exp passes=1 center-mag=-152.68/938.614/0.01872704/.75/90 params=768/1024/512/245/0.75/0.375 float=y maxiter=1024 inside=maxiter outside=tdis periodicity=0 sound=off colors=000<11>000000000<3>000330<11>110110110<3>00\ 0KA4<7>gcOjgRmjT<3>zzc<9>UOFRKDOGA<3>A00<9>f0Ci0Dl\ 0F<3>z0K<6>Z0EV0DR0C<3>A08004000<26>000<4>000<7>Q0\ UU0YX0a_0dc0hf0l<2>p0w<4>_0dX0aU0Y<2>K0NH0JG0NE1R<\ 3>7UX6`Z4h_2oa0wc<10>2WI2TG2RE<3>4G54D36F5<16>kkam\ mcpoe<3>zwm<3>mhZjdVfaS<3>VMCRI8OE4KA0000<30>000 } mf102-x1_X { ; PV from a preliminary MFR experiment ; Apr17/2017 Albrecht Niekamp ; Fractal parameters by Hal Lane ; Fractint Version 2099 Patchlevel 8 reset=2099 type=formula formulafile=170417.PAR formulaname=multifrac_215 function=exp passes=1 center-mag=-188.631/906.939/0.1377648/.75/90 params=768/1024/512/245/0.75/0.375 float=y maxiter=1024 inside=maxiter outside=tdis periodicity=0 sound=off colors=000<11>000000000<3>000330<11>110110110<3>00\ 0KA4<7>gcOjgRmjT<3>zzc<9>UOFRKDOGA<3>A00<9>f0Ci0Dl\ 0F<3>z0K<6>Z0EV0DR0C<3>A08004000<26>000<4>000<7>Q0\ UU0YX0a_0dc0hf0l<2>p0w<4>_0dX0aU0Y<2>K0NH0JG0NE1R<\ 3>7UX6`Z4h_2oa0wc<10>2WI2TG2RE<3>4G54D36F5<16>kkam\ mcpoe<3>zwm<3>mhZjdVfaS<3>VMCRI8OE4KA0000<30>000 } mf102-x1_W { ; PV from a preliminary MFR experiment ; Apr17/2017 Albrecht Niekamp ; Fractal parameters by Hal Lane ; Fractint Version 2099 Patchlevel 8 reset=2099 type=formula formulafile=170417.PAR formulaname=multifrac_215 function=exp passes=1 center-mag=-189.259/908.886/0.7548257/0.75/80.0000\ 00000000441/1.2079226507921703e-012 params=768/1024/512/245/0.75/0.375 float=y maxiter=1024 inside=maxiter outside=tdis periodicity=0 sound=off colors=000<11>000000000<3>000330<11>110110110<3>00\ 0KA4<7>gcOjgRmjT<3>zzc<9>UOFRKDOGA<3>A00<9>f0Ci0Dl\ 0F<3>z0K<6>Z0EV0DR0C<3>A08004000<26>000<4>000<7>Q0\ UU0YX0a_0dc0hf0l<2>p0w<4>_0dX0aU0Y<2>K0NH0JG0NE1R<\ 3>7UX6`Z4h_2oa0wc<10>2WI2TG2RE<3>4G54D36F5<16>kkam\ mcpoe<3>zwm<3>mhZjdVfaS<3>VMCRI8OE4KA0000<30>000 } mf102-x1_V { ; PV from a preliminary MFR experiment ; Apr17/2017 Albrecht Niekamp ; Fractal parameters by Hal Lane ; Fractint Version 2099 Patchlevel 8 ; Fractint Version 2099 Patchlevel 8 reset=2099 type=formula formulafile=170417.PAR formulaname=multifrac_215 function=exp passes=1 center-mag=8.85519/8.73968e-013/0.03920089/0.75/90 params=768/1024/512/245/0.75/0.375 float=y maxiter=1024 inside=maxiter outside=tdis periodicity=0 sound=off colors=000<11>000000000<3>000330<11>110110110<3>00\ 0KA4<7>gcOjgRmjT<3>zzc<9>UOFRKDOGA<3>A00<9>f0Ci0Dl\ 0F<3>z0K<6>Z0EV0DR0C<3>A08004000<26>000<4>000<9>X0\ a_0dc0h<3>p0w<4>_0dX0aU0Y<2>K0NH0JG0NE1R<3>7UX6`Z4\ h_2oa0wc<11>2TG2RE3OC<2>4G54D36F5<16>kkammcpoe<3>z\ wm<3>mhZjdVfaS<3>VMCRI8OE4KA0000<30>000 } mf102-x1_U { ; PV from a preliminary MFR experiment ; Apr17/2017 Albrecht Niekamp ; Fractal parameters by Hal Lane ; Fractint Version 2099 Patchlevel 8 ; Fractint Version 2099 Patchlevel 8 reset=2099 type=formula formulafile=170417.PAR formulaname=multifrac_215 function=exp passes=1 center-mag=1.4825/8.81073e-013/0.1010332/0.75/90 params=768/1024/512/245/0.75/0.375 float=y maxiter=1024 inside=maxiter outside=tdis periodicity=0 sound=off colors=000<11>000000000<3>000330<11>110110110<3>00\ 0KA4<7>gcOjgRmjT<3>zzc<9>UOFRKDOGA<3>A00<9>f0Ci0Dl\ 0F<3>z0K<6>Z0EV0DR0C<3>A08004000<26>000<4>000<9>X0\ a_0dc0h<3>p0w<4>_0dX0aU0Y<2>K0NH0JG0NE1R<3>7UX6`Z4\ h_2oa0wc<11>2TG2RE3OC<2>4G54D36F5<16>kkammcpoe<3>z\ wm<3>mhZjdVfaS<3>VMCRI8OE4KA0000<30>000 } ======= End of parm file =================================== --- This email has been checked for viruses by Avast antivirus software. https://www.avast.com/antivirus