Fractal visionaries and enthusiasts:

After a series of slow images, today's image is a fireball fast one.  As I promised yesterday, the image is a scene very deep in the scallops that form most of the shore line of the teardrop-shaped main bay of the parent fractal.

The exact location is the north-northwest shore of the parent's main bay, an area that looks hopeless even when magnified many thousands of times.  But when magnified billions of times, as I have done in today's image, strange unexpected things begin showing up, including minibrots.

I chose a rather subdued color palette for the image, which holds the rating to a 7 on the FOTD scale.  If I had taken the time to find more lively colors, the rating might have been up to one point higher.

Much of the color that actually is in the image was achieved by rendering the scene with the outside set to 'summ'.  The other outside options create renderings that are slightly different though not much improved.

The extreme magnitude of over 10^13 makes the mathtolerance entry in the parameter file necessary.  This magnitude is also responsible for the resolution breakdown just becoming visible along the band edges.  (The minibrots in this area lie deep indeed.)

The name "Scallops on the Edges" describes the apparently straight edges in the image, which, due to their scalloped nature and the math breakdown, are not straight at all.

The calculation time of only 15 seconds will bring no impatience.

The weather today here at Fractal Central was near normal for the middle of December in central Pennsylvania, with a mix of thin clouds and sun, and a temperature that rose from 19F -7C at daybreak to a high of 41F +5C in the afternoon.  The spoiler was when darkness arrived before 5:00PM, which in the middle of the afternoon, and is always rather depressing.  But that's how it goes only 10 days from the shortest day of the year in the Northern Hemisphere.

The fractal cats appreciated the slightly milder temperatures, but would have preferred a few more hours of sunlight.  The humans, FL and I, had another uneventful day, with little happening to break the routine and even less to write about.

The next FOTD will be posted in 24 hours.  Until then, take care, then go out and work to bring equality.  let me know when it is achieved, since I'm still waiting for equality to be fully defined.

Jim Muth
jamth@mindspring.com


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

ScallopsOnTheEdges { ; time=0:00:15.00 SF5 at 2000MHZ
  reset=2004 type=formula formulafile=basicer.frm
  formulaname=MandAutoCritInZ function=ident
  center-mag=-0.6166237108924959/+0.6809421192483719\
  /1.6791e+013/1/115/0 params=0.5/2/-0.5/100/0/0/0/0
  float=y maxiter=1850 inside=0 outside=summ
  periodicity=6 mathtolerance=0.05/1
  colors=000cccXZPV_HT_9S_2Y0xf6ioDVxJHmFCbC8S94Q8QO\
  7jUAe_C`eFXkHSqKNwMJdSCMY6L`8KbAJdBIfDHiFVNMAHAccK\
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  EhYClaApd8ib9c`9Y_9SY9MX9GV9AU9CQ8FM7HI7JE6LB6LB7L\
  B865C86E98HA9JCALDBOFDQGWSHSVJOXKMZMJaNEcO7eK6SG7F\
  D22700400000000000000LGUJJYHMaEPeCSiAVm8Xq9WlAWhAV\
  cBV_CVVCURDUMEUIETDFT9FT5IU9KUDMVHOVLRWOTWSVXWXX_Z\
  YcaYfcZjeZng_ri_ueXvaVvZTvVRvRPvONvKLvGJvDHvGKuIMt\
  KOtMQsOTsQVrSXrUZqW`pYcp_eoagocinekncjlbjkaij`ii_h\
  gZhfXheWgdVgbUfaTf`Sf_VaVXXQZTMiOHpKDzP8wL4tLBqLHo\
  LEmLMkLOiLPSbbUe_WgWYjT_lQaeeb_tdLqf7nh0ka0nV7pPEs\
  ILuCSwMRpVRidQbmQWkT_iVbgXfeZic`mabpb`hc_acYUdXNdV\
  FeU8eT1jM3nG4rA6ebUb__`Yd }

frm:MandAutoCritInZ {; Jim Muth
a=real(p1), b=imag(p1), d=real(p2), f=imag(p2),
g=1/f, h=1/d, j=1/(f-b), z=(((-a*b*g*h)^j)+(p4)),
k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel):
z=k*((a*(z^b))+(d*(z^f)))+c,
|z| < l }

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