F.O.T.N. (Fractal of the Night) 16 Jan 1998 (Collision)

Tonight's fractal, I create fractals at night, is a Julia set computed from a formula by Michael G. Wareman. It has a strange mix of two 'zones'. One has the usual bof60 rings (showing equal close approach of the orbit to the origin) and the other seems not to have the rings. It shows up here as blue rings vs. regions of white. The parameters are chosen so as to be on the edge of the white Vs blue regions effect. So we get a Siegel disk like behavior. Turn on the orbits (in Fractint) and watch.

I call this Collision because it is a result of a 'collision' between two behaviors which I'm still trying to figure out.

Figure 1. Collision

Jay

PS Jim Muth (Fractal of the Day, the feature we all enjoy) is doing a great service, no reason to let him have all the fun. :-)
So enjoy this, the first issue of Fractal of the Night.

FGZ-J_Collision-a { ; Collision (c) Jay Hill, 1998 ; generalization of formula by Michael G. Wareman ; p1 is focus of Julia set ; Siegel disk like image reset=1960 type=formula formulafile=fgz.frm formulaname=fgz-julia passes=1 center-mag=0/0/0.45 params=0.5/0/0.5/0/-0.78163/0.2411 float=y maxiter=2560 inside=bof60 outside=0 colors=00000e<9>Lzz<18>wzzzzzzzz<218>222222111000000 savename=fgzJcola }

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