Fractal visionaries and enthusiasts:  

The formula behind today's image combines Z^4 with half as much Z^5 before adding straight Z on each iteration.  This simple combination creates a parent fractal that consists of a Mandelbrot set rotated 180 degrees with an oversized main bud and a main spike leading east to merge with the west-pointing main spike of the remnants of a very distorted M-set lying in the normal direction.  Today's scene lies in a moth-eaten valley on the north shore line of the main bay of this distorted M-set.

I named the image "Comb Filters" because that's what came to mind when I shut off my thinking (an easy task) and let nature take its own path.  I think comb filters are part of TV circuitry, but don't take my word for it.  The brilliant bluish-white image elements that resemble comb teeth are actually inside stuff made visible by the 'fmod' inside fill.  The image itself largely consists of blank 'inside' areas.

The art aspect, which took over an hour to get right, rates a very good 8.  The math comes in at a 6.  Combining various portions of Z^4 and Z^5 is hardly new stuff.

The image finishes in an average 3 minutes on one of today's fireball machines still friendly with DOS.  The web sites can bypass any quarrels that may arise between the parameter file and a DOS unfriendly machine.

Total sunshine prevailed here at Fractal Central today, while the temperature reached a high of a very pleasant 64F 18C.  The fractal cats soaked up as much sun as they could.  The only problem was the window shelf, which is too small to accommodate all three cats at the same time, making them squabble to have turns sunning themselves.  The fractal humans had a pleasantly uneventful day.

The next FOTD will be posted whenever it is, implying no definite time but giving assurance that it eventually will be posted.  Until whenever, take care, and stay happy by remaining blissfully ignorant.

Jim Muth
jimmuth@earthlink.net


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

Comb_Filters       { ; time=0:03:00.00 SF5 at 2000MHZ
  reset=2004 type=formula formulafile=basicer.frm
  formulaname=MandAutoCritInZ function=ident passes=1
  center-mag=-0.769765156989/+0.561782341347/595601/\
  1/142.5/0 params=1/4/0.5/5/0/0/0/0 maxiter=1600
  float=y inside=fmod proximity=0.0235 periodicity=6
  colors=000CBBEB7GB3IB1KB0MB0OB0KA0H90E90B808805703\
  601610520530860B90DC0GF0IM0LU0Nc0Rm1Ts1Xz1Zz2bz2ez\
  3_u3Xm3Tf3Q_3MV3JR3GP3DL3AI37G34D32B30830630330240\
  14004005005005005005105206306406507607707802300000\
  0300604A08D0EH1JK2OP3WS5aX5h`3jL1m90p04l27h5Bd8F_C\
  JXGNTJX_KehLfeIfdGgaDg_BiZ9iX6jW4jT2kS0kR0mO0mN0mM\
  0SU0Ab0Ed0Ie0Le0Pf0Uf0Yh0bh0gi0ki0qj0uj0ki1bh3Vh3N\
  f5Ge6Ae84d90bB0bCEl3eu0`n0Yh0Vb3SX6PR9MMCBH0D9BF3P\
  H0cI0sL0iO0`R0SU0KY0D_0700600B00G00L00M10Q10T10Y00\
  `00c00e00h00k00l00m00o00p00r00s00k22d64YC6SH8LMAGT\
  DBZF6eH2TJ6IKB8LG0ML0NQ0LL6JHFHDNF9XE5VF9VGCVGGUHJ\
  UINUIRTJVWKZ_KccLhhMlmMpnOcoRRpTGqU6rU3sU1tV0uW0zZ\
  0za3zd5zg9zjCzmGzpJzsNzvRzzWzzZGWdEWhBOa8IW5CQ36K1\
  1F00A00530CA0JI0RR0Y05o07l08i09h2Be5Cd6Da9F`CGYEHX\
  HJVKKTMLRPNQTONVQMTOLRNKOMJNLJLKIJJHHIGGHGEGFCFEAE\
  D9DD00G10L27R4HX5ScTdiozz }

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, esc=imag(p3)+100, c=fn1(pixel):
z=k*((a*(z^b))+(d*(z^f)))+c,
|z| < esc }

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