Fractal visionaries and enthusiasts:

Today's fractal, with its festive colors, came to be when I combined equal parts of Z^(-5) and (Z), then added straight (C) on every iteration.  This harmless appearing combination produced a parent fractal consisting of a rather distorted Mandelbrot set missing its East Valley, with flat disks at the ends of the filaments extending from its buds.  Today's image lies near the point where the filament extending from the north (in this case northwest) period-3 bud disappears into the disk at its end.

Since I think the image is actually a bit better than yesterday's, I rated it at a superb 9.  It might have rated a 9.5 if I had put a bit more effort into the coloring.

The name "Candied Delight" came about when the image reminded me of a box of the hard candies that are so popular at this time of year.  The calculation time of 2-3/4 minutes is quite a cheap price to pay for a 9-rated image.

After a few early morning clouds cleared away, total sunshine prevailed here at Fractal Central for the rest of the day.  The strong sun and light winds made the temperature of 46F +8C feel almost balmy.  The fractal cats made the most of the sunbeams streaming in the windows, chasing the sun across the floor and grumbling when it moved. The humans, FL and I, spent the day getting from morning to evening.  It's not too exciting, but what else could one ask for?  (Don't answer that question.)

The next in the apparently endless series of FOTD's will be posted in 24 hours.  Until then, take care, and everything that had a beginning in time must have an ending in time.

Jim Muth
jamth@mindspring.com


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

Candied_Delight    { ; time=0:02:45.00 SF5 at 2000MHZ
  reset=2004 type=formula formulafile=basicer.frm
  formulaname=MandAutoCritInZ function=ident passes=1
  center-mag=-0.52150872012/+0.338848536058/250000/1\
  /-12.5/0 params=1/-5/1/1/0/3500/0/0 float=y
  maxiter=1500 inside=0 periodicity=6
  colors=000`ZPcbPgfPkiPnmPrqPurPurRtrTtsVssXpqZno_l\
  m`jlYhjWehTcfRaeO_cMYaJW`HTcHRfHPhHNkHLmHJZVIKgH6t\
  JBqLFnNKkPOhRSeTXbV`_XeXZiU_mSYgRWbQVYPTTORONQJMOE\
  LM9KL4Kvxaps`jn`ei__d_V`ZPWZKRYEMY9IY7FT6DP5BL2D94\
  9H36C248124crGQ_ADI51DC0BA0A9098087076055044033022\
  011ioKejIafGYbFUYDQUBNQAJL8FH6BD5783341XYrGHR3kV2c\
  P2WK1OF1GA085AMZ8JV7HR6EN5CJ49F37B247123VgjRbeOZ`L\
  UWIQSFMNUWW9DE6893440KD2K81K4DPyCUtBZpAcl9eh8ad7Y`\
  6UX6RS5NO4JK3FG2BC178034pNT4dq3Zj3Uc2PX2KR1FK1AD05\
  6_CSXBPUANR9LO8JM7HJ6FG5CD4AB38826514202FVWBNO7FG3\
  78wZhhQXUHMF8BlOlgMgcKc_I_WGWSESOCOKAKG8GC6C848424\
  RDOI8G948TD7OA5J84E63942421eYF`UDXRCTNAPK9LH7GD6CA\
  4863431h65d54`54X43U43Q32M32I22F21B11710300wB9o97h\
  86`65U54M43F22711dFXaDUZCSWBPTANQ9LN8IK7GH6EE5BB49\
  837524212m4U`3MP2FC17EQDDOCCMBBKAAI99G88E77D66B559\
  4473352231110MLOQOOUSOXWP }

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=========================================