F.O.T.N. (Fractal of the Night) 19 Jan 1998 (Potatoe)
Tonight's fractal, discovered near last night's
Elephant, looks a lot like a potato. It is from
the MSet, corresponding to the map of the Julia sets computed from a formula
by Michael G. Wareman. This comes from one of the branches on the period
5 bud on the MSet butt. Nearby midgets are more normal looking, but not all.
I found a second potato on another branch. You never know what you will find,
digging around in fractal land! The formula is
z = p1*(z2 + c)2/((z2 + c) + p2) + c
with p1 and p2 equal to 100.
Figure 1. Potatoe
Figure 2. Another Potatoe
Here are the Fractint parameter files.
Enjoy
Potatoe { ; (c) Jay Hill, 1998
; Most of this MSet is almost normal
; But look! Oh my, it must be Dan's Potatoe
reset=1960 type=formula formulafile=fgz.frm formulaname=fgz-mand
center-mag=+0.45659478684285460/+0.35038593708973740/928.2398
params=100/0/100/0/4.1/0 float=y maxiter=256 inside=bof60
colors=wU0mK2mU4cKAwh0AAA<4>KKKzjF<3>obCl`Bj_BhYA<11>KF4HD4HD4<14>540540\
640<93>cU0WWW<106>222222111000000
}
Potatoe2 { ; (c) Jay Hill, 1998
; Most of this MSet is almost normal
; Oh my, not another Potatoe
reset=1960 type=formula formulafile=fgz.frm
formulaname=fgz-mand
center-mag=+0.43608241982133640/+0.32752974768966800/1041.055
params=100/0/100/0/4.1/0 float=y maxiter=256 inside=bof60
colors=wU0mK2mU4cKAwh0AAA<4>KKKzjF<3>obCl`Bj_BhYA<11>KF4HD4HD4<14>540540\
640<93>cU0WWW<106>222222111000000
}
frm:FGZ-Mand { ; (c) Jay Hill, 1998
IF( |p3| == 0)
p3 = 16
ENDIF
c=pixel, z=sqrt(-c), bailout = real(p3):
z1=z*z + c;
z = p1*z1*z1/(z1 + p2) + c;
|z| <= bailout
}
