F.O.T.N. (Fractal of the Night) 22 Jan 1998 (Manta)

Having played with his starfish about as much as one can, (Starfish) Dr. J, the mad scientist, decided he should put it back where he found it. Not a problem, since he had noted its coordinates at the edge of fractal land the night before. As he approached the beach, things just didn't look right.

Before he could figure out what the matter was, he found himself neck deep in the sea. "Something awful is down here!" he told himself. On these matters he was usually correct Only the fact that the Manta was not hungry saved him from becoming munchies for the giant Manta (see tonight's picture). Finally back at the lab he discovered his nearly fatal error. He had left the lab with the wrong formula loaded into his Fractomap(tm). What you expect to find with one formula most certainly will surprise you with another.

Figure 1. Manta

Yes, set your Fractomap to the formula by Michael G. Wareman. Sometimes, you compute a Julia set, and find it is mostly solid (the point in the corresponding MSet is slightly inside a component). Some of these are pretty boring, a bunch of ripples around the edge. This happened with tonights fractal. But when I tried inverting it, I got something more to my liking.

Here are the Fractint parameter files.

Enjoy

frm:FGZ-Julia { ; (c) Jay Hill, 1998 ; generalization of formula by Michael G. Wareman ; p3 is focus of Julia set z=pixel, c=p3: z1=z*z + c; z = p1*z1*z1/(z1 + p2) + c; |z| <= 16 }

Manta { ; (c) Jay Hill, 1998 ; generalization of formula by Michael G. Wareman ; p1 is focus of Julia set ; FGZ-J55i reset=1960 type=formula formulafile=fgz.frm formulaname=fgz-julia center-mag=-0.535207/3.55271e-015/0.4681297/1/90 params=3/0/3/0/-0.552/0 float=y maxiter=255 inside=bof60 outside=atan invert=1/-0.551/0 colors=cw0UfU0MU<27>0Lb0Kc0Lc<6>0U`<7>\ UcY<131>UYaUYaUYaUXaUXaUXa<7>UUcUU\ cUTb<58>U0A1AF1AF savename=Manta }