Dr. J, suffering the dreaded and feared Fractint Virus, has gone down to The Cove, hoping to recover by resting in the sun. And some sun he is getting, see Figure 1. If he is not careful he will get more than a nice tan.
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Figure 1. Dr. J is enjoying more sun than he should, down at The Cove.
This picture is a Julia set centered on a small cardioid in the associated Mandelbrot set, see Figure 2. Putting the focus at such a 'center' will produce a circular disk in the Julia set.
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Figure 2. The small cardioid isolated in the spike of the Mandelbrot set for Eqn 1.
The formula for these pictures is from Michael G. Wareman.
z1= z2 + c,
z = p1*z12/(z1 + p2)
+ c.
Stay healthy,
Jay
PS Does anyone out there have any idea why resting in the sun would cure
the Fractint Virus? Hint: You can't see the laptop screen in the sun-light.
Answer: You can't see anything, laptop, how to get home, ....
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
}
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| <= 64
}
FGZ-J-Sun-at-Cove { ; (c) Jay Hill, 1998
; generalization of formula by Michael G. Wareman
; p1 is focus of Julia set
reset=1960 type=formula formulafile=fgz.frm formulaname=fgz-julia
center-mag=+1.44444444444444400/+0.00000000000000000/80
params=3/0/3/0/-2.086392125410096/0 float=y maxiter=256 inside=0
decomp=256
colors=wpUrrWqqU<44>ve2vd2vd1wc0wc0<117>iUAiUAiUAhUAhUAhUA<19>cUAcU0<2>w\
6f<11>wWmwYnw_owapwcq<9>ywyzzzzzy<28>rrX
}
FGZ-M-Sun-at-Cove { ; (c) Jay Hill, 1998
; a small cardioid far out on the disconnected spike
; Shows importance of making bailout large enough so
; the image is not cut off
reset=1960 type=formula formulafile=fgz.frm formulaname=fgz-mand
center-mag=-2.08639212500000000/-0.00000000000000000/11347.93
params=3/0/3/0/0/0 float=y maxiter=256 inside=0
colors=000<29>wwwzzzzzz<218>222222111000000
}
