################################################ Jim, I used Fractint's evolver ( <ctrl>E ) to vary both the real and imaginary parts of p1 from 0 to 90 of your Sept 5th, '06 FotD ("Is this Seahorse Valley?") and discovered where your p1 = (77, 90) fits into the pseudo 4D space presented by Fractint in evolver mode. You appear to have used the evolver yourself and picked the best image right out the fourth dimension! Jim, did you use Fractint's evolver to find the FotD for Sept 5th, '06? <---<< There appear to be lots of potentially fruitful areas to zoom in on, in the vast 4D volume between p1 = (0, 0) and p1 = (90, 90). In your formula you have: ;when fn1-2=i,f, then p1 0,0=M, 0,90=O, 90,0=E, 90,90=J ;when fn1-2=f,i, then p1 0,0=M, 0,90=R, 90,0=P, 90,90=J I understand that "M" stands for Mandelbrot Set and "J" stands for Julia Set. Jim, what do "O", "E", "R" & "P" stand for? <---<< For reference here is the complete function: frm:multirot-XY-ZW-new {; draws 6 planes and rotations ;when fn1-2=i,f, then p1 0,0=M, 0,90=O, 90,0=E, 90,90=J ;when fn1-2=f,i, then p1 0,0=M, 0,90=R, 90,0=P, 90,90=J a=real(p1)*.01745329251994, b=imag(p1)*.01745329251994, z=sin(b)*fn1(real(pixel))+sin(a)*fn2(imag(pixel))+p3, c=cos(b)*real(pixel)+cos(a)*flip(imag(pixel))+p4: z=z^(p2)+c, |z| <= 36 I note that in the evolver-calculated four-space when p1 = (90, 90) the image is a Julia Set and when it was (0, 0) the image is a Mandelbrot set. I don't see how one can create a parameter file that will let others easily calculate this 4D space. However, if anyone is interested I will create a "cheat sheet" containing a list of instructions that you can use to tell Fractint to create this 4D space for you. Please email me. If I do this for someone who asks me I will put the result on the [Fractint] and [Philofractal] email lists. Currently, it seems that all one can do is save and reload the image of the 4D space. But I believe the extra info stored in the .gif file contains the parameters that the evolver used. So when you <r>eload the image you automatically come up in evolver mode with the ability to continue exploring and evolving! Maybe I will get around to putting a copy of the 4D space on my web site... - Hal Lane ######################### # hallane@earthlink.net # ######################### ################################################ -- No virus found in this outgoing message. Checked by AVG Free Edition. Version: 7.1.405 / Virus Database: 268.12.2/441 - Release Date: 9/7/06