Fractal visionaries and enthusiasts:

Today's image is little more than a pleasing pattern.   It has no minibrot at the center, though smaller quintic minibrots are scattered all through it.   The name "Pleasant Patterns" refers to the general area of the parent fractal.

On the surface, this parent fractal appears to be a Mandelbrot set, but the deeper one goes into it, the more it takes on quintic characteristics.   The location of today's scene is in a small filament extending from the northeast shore line of the main bay of the large minibrot on the main spike of the parent.

The image consists of a combination of hills and valleys.   The most prominent hill lies in the center and is colored bluish-red, while the deepest valley surrounds the quintic minibrot in the upper left part of the frame.

The rating of an 8 might be a bit liberal for an image with no well-defined quadratic minibrot at the center, but the combination of hills and valleys adds just enough interest to justify the rating.

The calculation time of a very brief 34 seconds means that very little time will have been wasted if the image fails to please.   Viewing the finished image on the FOTD web site at:makes the viewing process even more efficient.

At lunch on Friday, as images of dead oil-covered birds flashed on the TV screen, FL scolded me for showing too little concern about the environmental damage being done in the Gulf as a result of the continuing oil leak.   She said I should be very angry at the responsible oil company.   To avoid a luncheon squabble, I voiced no opinion, but such naive, feel-good short-sightedness kind of annoys me.

Of course I'm concerned, but let's face it.   WE are the real problem.   We are the ones addicted to petroleum.   We heat our homes with oil; we buy almost everything in plastic bottles; we absolutely need our cars if we want to do anything but sit in our front yards.   Until we end our addiction, I suggest we fill our tanks in silence and stop pretending to care about the environment.

I'll now have nothing more to say on this admittedly political topic.   Fractals and weather are far more fun and sometimes far less frustrating.

Midsummer conditions prevailed again on Friday here at Fractal Central, with oppressive humidity, hazy partly cloudy skies, thunder-storms on the horizon, and a temperature of 90F 32C.   The fractal cats spent most of the day on the cool floor in the kitchen, hoping for an unexpected spill of cream, which never happened.   My day was fair enough, and if everything goes well, tomorrow will be a repeat.

The next FOTD fractal will be posted in 24 hours.   Until then, take care, and continue the endless search for the perfect fractal.


Jim Muth
jamth@mindspring.com
jimmuth@aol.com

START PARAMETER FILE=======================================

Pleasant_Patterns   { ; time=0:00:34.16-SF5 on P4-2000
  reset=2004 type=formula formulafile=basicer.frm maxiter=1500
  formulaname=FinDivbrot-2 function=recip float=y inside=0
  center-mag=-1.748847663485/+0.000310333759/1e+008/1/180
  params=5/-100000000/0/0
  colors=000q_Xm_Wh_Vd_U``TW`SS`RN`QJaPFaOAaN6aM2aL5\
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  SHaRJaRK_ULZXs_YtZYuZZvZZ }

frm:FinDivBrot-2      { ; Jim Muth
  z=(0,0), c=pixel, a=-(real(p1)-2),
  esc=(real(p2)+16), b=imag(p1):
  z=(b)*(z*z*fn1(z^(a)+b))+c
  |z| < esc }

END PARAMETER FILE=========================================