Fractal visionaries and enthusiasts:

We're once again quite busy here at FC, which means another brief discussion.

With today's FOTD we drag ourselves from the morass of rating-6 land into the everyday world of rating-7 land.  The parent fractal is the almost-Mandelbrot set created by the expression Z^(2.0001)+C.

On the surface, this parent resembles an everyday Mandelbrot set, and most areas are indistinguishable from a M-set.  Things are different however along the negative spike, which is infinitely divided.

Today's scene is located just east of a small minibrot well beyond the large minibrot.  This small minibrot is partly split apart, with today's image lying in a tiny valley, not the usual east Valley, where the X-axis enters the main bay.

The elements here closely resemble the elements found around the curious rectangle in the Z^(2.003)+C Mandeloid, though so far I have found no rectangles.

I named the image "Holey Iterations" not because I'm a fan of the original Captain Marvel, (which I am), but because of the holes that fill the scene.

The calculation time of 2 minutes is an educated guess, but still quite close to the time that would have been required on the now defunct 2000mhz unit.

Dark dry clouds, blustery winds, and a temperature of 34F +1C made today feel like a true winter day here at Fractal Central.  The fractal cats, mostly recovered from their catnip-induced tipsyness, spent the day sleeping off their hangovers in the softest, warmest places they could find, leaving it to the humans to keep things running.  The humans kept things running.

Unless something intervenes, the next FOTD will be posted in 24 hours.  Until then, take care, and an armchair psychologist could probably do a full analysis just by reading the FOTD closing comments.

Jim Muth
jimmuth@earthlink.net


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

Holey_Iterations   { ; time=0:02:00.00 SF5 at 2000MHZ
  reset=2004 type=formula formulafile=basicer.frm
  formulaname=MandelbrotN center-mag=-1.940345966141\
  326/+0.00000007481048106/2.11e+011/1/27.5/0 float=y
  params=2.0001/0/0/0/0/0 maxiter=1800 inside=0
  logmap=282 periodicity=6 mathtolerance=0.05/1
  colors=000J3JM3IQ3HT3GW3FZ3Fa3Ed3Dh3Ck3Bn3Aq39t38w\
  37z37v26s26p25o23m25j25g24c14`14Y13V13S13P12M12I02\
  F01L01901600300cP2_M1WJ1SG1OD1KA1I91G81E70C60A5084\
  06304202109VI8RG7OE6KC5HA4D83A6264132F_mDWgBSaAOX8\
  KR6GM5CG38B145T0RQ0NN0KK0HH0DE0AC09B07906705503302\
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  L7TI5OF4JC3E9296143BlM9cI7WE5OB3G7183K2rE1oD1cC1eB\
  1ZA1WA1U91R81P71M60K50H50F40C30A207105002zvlVTO31f\
  20c20a20_20X20V20T10R10O10M10K10I10F00D00B00900600\
  4002IYKGWMFVNETODSPBRQAPR9OS8NTGVYObaViebqiixmciYY\
  VITG2XUA_fIbsQ9Jl8Sh8`d8h`8qX8yT9iNAVHBGBZcTeZTlTS\
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  0u30v20w20x10y00zKHzKEzKBzK8zK5z7Hz6Gz6Fz6Ez5Dz5Cz\
  5Cz4Bz4Az49z38z38z37z26z25z24z14z13z12z01z00zAYz8b\
  z7`z7Zz6Xz6Wz6Uz5Sz5Rz5Pz4Nz4Mz4Kz3Iz3Gz3Fz2Dz2Bz2\
  Az18z16z15z03z01zRGzOEzLC }

frm:MandelbrotN {; Jim Muth
b=p1, z=p2, c=p3+pixel:
z=z^(b)+c,
|z| <= 16 }

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