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Fractal of the Day
by Jim Muth
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Fractal visionaries and enthusiasts: My new formula, the DivideBrot2, appears to be another winner, which I will use often in future FOTD's. Today's image barely scratches the surface of the things it can do with the higher-order minibrots, all of which until now have looked pretty much the same. Today's image is one of the best cubic minibrots that I have yet stumbled upon. The parent fractal closely resembles the figure drawn by the marksmandel formula of Fractint when the exponent is set to 2. But the buds of today's parent, instead of being quadratic, are cubic. Today's image lies in the northern suburbs of this parent. I named the image "The Cubic Squared" because I felt like it. I rated it at an 8 because that's what I think it's worth. When I rendered the image, I used nothing more than the traditional equal-iteration bands on the outside with a flat black on the inside. All the excitement is in the fractal itself. The calculation time of a mere 42 seconds can hardly be beat. But if running parameter files is not your cup of tea, forget the colloquialisms and beat it to the FOTD web site at: The perfect weather at Fractal Central on Tuesday was appreciated to the fullest by the fractal cats, who enjoy plenty of sun, low humidity and a temperature of 79F 26C. I would have enjoyed a day a little more peaceful, but the day I had was not too bad. The next FOTD, another good one, will appear in 24 hours. Until then, take care, and be fractally correct. Never mention undesirable things about fractals that everyone wants to continue denying are true. Jim Muth jamth@mindspring.com jimmuth@aol.com |
START PARAMETER FILE=======================================
The_Cubic_Squared { ; time=0:00:42.23-SF5 on P4-2000
reset=2004 type=formula formulafile=allinone.frm
formulaname=DivideBrot2 passes=1 inside=0 logmap=53
center-mag=+0.014489004226624/+0.777624726013028/2\
.005397e+007/1/-86/0 maxiter=1800 periodicity=10
params=1/-2/1/0 float=y
colors=000NOPOONDKU8If6JY5JQ4JH3JD2J81J30J05QRAXaF\
cnKjsPqwUwzYzzawxdrsgmrjgonaoqXotRowMoKDGUIKcKOhQS\
mSWrU_vWbk_ZacVSgSHkO7oK0sH4rIBrJIrKOrLVrMarNgrNZm\
ORhPJdQB_R3WR1WR2`Y3dc4hi4lo8fgCa_GXSKRLOMDSH5VC0_\
BIcA`g9sfBqeDodEmcGkbHiaJg`Ke_McZNaYP_YQZ_O`aNacMc\
eLdgJeiIgkHhlGicEhVChNAhJCiFDiCEi8Fj4Gj1HjLRnIWhG_\
cEcZBgT9kO7oJ4sD2w80z35y59w7Du9HtAMrCQpEUnGYmHWgHU\
aHfjIbfHZcHV_H7B`EJULQNfHkaN`XSR0z08r5IgB4SpwzelpX\
afPT_RSZOSYMSXJIU0MV5PWBi9QTOUSRPSULTosShfSbU3IECN\
FKSGMuWqP7hSB_VEpdvc`a0xVDjOsvLloKeiJZbICRgjkEcfFY\
aGLDpPNZ0K9ERDpzidhh_dZW`QOtrPnhQh_RzQNzcPzYQzSRzM\
kzYfzTwzPwzLwz0wz7wz9wzCwzFwzLwzJwz_wzQwzXwzTwzPwz\
Lwzdwz0wzpwzMwzvwzMwzCwz2wzRwzoFzqLzsRzuWzvczikzXs\
zKNzTlzJezIZzHezdazZZzTVzNUzuHzgOz0Qz9CzHKzHvzfCzQ\
nzqhzgbzZXzQjzK`zIQzaRzRBzcHzWNzOYzbVzSjz3ez7`zAWz\
E6zoHzY0zvwz0oz3gz8_zDCz0 }
frm:DivideBrot2 { ; Jim Muth
z=0, c=pixel, aa=real(p1), bb=imag(p1),
dd=real(p2), ff=imag(p2)+100:
z=z^aa/(z^bb+dd)+c
|z| < ff }
END PARAMETER FILE=========================================
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times.
