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Fractal of the Day
by Jim Muth
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Fractal visionaries and enthusiasts: Today's image was created with the third version of the DivideBrot formula, which is notably faster and more intuitive than version 2, the version I have been using until now. I will probably make a few more changes before finalizing the formula as DivideBrot4. Today's image shows an order-17 minibrot lying on the negative spike of the parent Mandelbrot set, very near the escape radius. I know that it's impossible to have order-17 minibrots in a fractal that on the surface appears exactly like the classic Mandelbrot set, but I suppose something in the formula never got the message, for this is what we have in today's image. The image was spiced up a little by rendering it with the outside set to 'tdis'. Everything else comes from the numbers themselves. I could have used a little more time to work on the coloring, which explains the rating of only a 6. The name of the image "Order Septemdecem" is simply a fancy way of saying 'order-17'. The calculation time of today's image is an astoundingly brief 13 seconds. So why not take a moment to run the included parameter file. Those with machines that get a case of indigestion when faced with Fractint may go to the FOTD web site at: Thursday began with heavy clouds and light rain here at Fractal Central. But the rain ended at 10am and the sun appeared around noon, leading to an afternoon that was hazy, warm and humid, with a temperature of 86F 30C. The fractal cats enjoyed the sun when it first appeared, but sought cooler spots when it got too warm. I spent my free time working on the new formula and responding to an e-mail on the Fractint list. I'll probably make a few more changes in the formula before I have a final version. The next FOTD will appear in 24 hours. Until then, take care, and seek the elusive fractal. Jim Muth jamth@mindspring.com jimmuth@aol.com |
START PARAMETER FILE=======================================
Order_Septemdecem { ; time=0:00:13.42-SF5 on P4-2000
reset=2004 type=formula formulafile=allinone.frm
formulaname=DivideBrot3 float=y mathtolerance=0.05/1
center-mag=-23.99999459284184000/0/6.080533e+011/1
params=15/12/485/0 symmetry=xaxis periodicity=10
inside=0 outside=tdis maxiter=15000
colors=000kiMjkJegHacGY_FTWDPSCLOBGK9CG88D79IC_0mA\
SLAXQBaUBfZBjbEeZH`WKWSNRPQMLTHIVCFU8Fa9HiAJpBKlKO\
iTSfaWcj_dgVeeQfcLfaGg_BhY6hW1PWVZcVWKHYOJ_SLaWNb_\
PdcRfgThF0gM7gTDgZJgeP06_MRXjohineimchmahlZgkXtYJo\
bNkgRdgNehPfiRgjT51XA7WFDWKJWPPWUVVZ`VcfVyjgskbmkZ\
lqjjofinbhlZZkl4GmALjGQgMUdRZbXb_bgXr0Op6PoCQmIRlO\
SkUTi_UheVEZMMbPKbWJcZOfUSiPWlK`oFdrAhu6atDWsJQrPK\
qWEpa8pg7mh6ji6gj5dk5bk4_l3Xm3Un2Ro2Po3Wl3aj3gh5_c\
7TZ9LUBEPC7K9JS6V_4ff5_b6U_7OX7IU8CR96O90LE5NJ9OOE\
PTIRYNSbRTgWVl_WqdXvhYlfScdMUbGL`AC_5AY78W96UA4SC2\
QE0OF4QI8RLBTNFUQIWTMXVPZYT__Wab_bebdgfejifljdjkbh\
kagl_emYdmXbnVaoT_oSZpQXpPWnRXlSXkTXiUXhVXfWYeXYcY\
YbZY`_Y_`YYZWXXUWVTVURUSQTQOSONRNLQLKPJIOHHNGFMEEL\
CCKBBX8Ch5Dt3Dq5E_0ml9EjBEgCEeEEbGE`IEYJEWLETNERPE\
PQEXSLcURkWYrYcnb`kgYglVdqS`vPYzN_wOatPbrQdoRfmSgj\
TihUkeVlcWn`XoZYnaVmdSlfP }
frm:DivideBrot3 { ; Jim Muth
z=0, c=pixel, a=real(p1),
b=imag(p1), d=real(p2)+100:
z=sqr(z)/(z^(-a)+b)+c
|z| < d }
END PARAMETER FILE=========================================
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times.
