Fractal visionaries and enthusiasts:

Today's image takes us back once again to the parent almost-Mandelbrot set fractal of the Jan. 8 FOTD image.  This time I checked the trunk of the period-46 elephant on the southern side of the valley.  Only a slight distance into the trunk I found a quadratic minibrot caught morphing into a quintic minibrot.  Today's scene lies in a chunk of left-over quadratic stuff inside the main bay of this minibrot.

The much smaller minibrot at the center of today's image lies just beyond the limit of resolution, but it is a purely quintic one.  The outer elements surrounding the minibrot are quadratic stuff however, which leads to a diamond-shaped area of confusion where one type of stuff changes to another.

The rating of a 7 indicates that the image is a cut above average.  The name "Five-Eighths There" came about when I noticed the normal 2,4,8,16... quadratic series going through the area of confusion before changing into the unlikely quintic series of 5,25,125,625...  The name doesn't make much sense, but a name is a name, and this will be the name of today's image.

The calculation time of 5 minutes is a bit of a burden.  The burden may be lifted however by surfing down to the current FOTD web site at:

http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html

The original web site at:

http://www.Nahee.com/FOTD/

is still worth a look.

Due to the rush here at FC on Friday, my own FOTD web site made no progress.  There is no time limit however, and before long the site will be up and running.

About 3-1/2 inches (9cm) of snow fell overnight Thursday here at Fractal Central, which meant a Friday morning of sidewalk clearing.  The fractal cats gave moral support by watching from the window, while FL kept the coffee hot and the work moving.  Friday afternoon was partly cloudy, with snow flurries, brisk winds and steadily falling temperatures, which reached 19F -7C by sunset, with a forecast low of +7F -14C.

The rest of the humans' day was again quite busy, which seems to be more the rule than the exception these days.  Maybe it's a sign of the improving economy.  The next FOTD will be posted in 24 hours.  Until then, take the usual care, and when someone wonders about the meaning of life, tell them the question is meaningless and see if they consider the answer satisfactory.

Jim Muth
jamth@mindspring.com


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

Five-Eighths_There { ; time=0:04:31.66-SF5 on P4-2000
  reset=2004 type=formula formulafile=basicer.frm
  formulaname=FinDivBrot-2 function=recip float=y
  center-mag=+0.254554234183668/-0.00046753213376652\
  /8e+012/1/-75/0 params=5/500000000.0/0/0 logmap=724
  passes=1 maxiter=5000 inside=0 mathtolerance=0.05/1
  colors=000BG_BG_CG_CG_DGZDGYEGXEGWFGVFGUGGTGGSEGRD\
  GQCGPBGOBGNBGMBGLBGKBGJBGIAGHAGGAGGAGGAGGAGGAGGDGG\
  FGGmGGmGGmGGmGGmGGzGGzGGzGGzGGzGGzGGzIGzKGzNGzRFzV\
  DzZBzaAzd8zg6zi5zk5xm5zn5zn5zm5zk5zi7zf9zcAz`CzZEz\
  XFzUHzQJzOKzMIzJHvGGrBFm7Eh4Dc6A_B8_H6_M5`R5`X5`a5\
  `f5bc5c`5dY5eV7fSAgPDhMGiJIjGLkDOlBQiCRfCRcCS`CSZC\
  TWCTTCUQCUNCVLCVICWFCWCCXACXCFWEHWGKVIMVJOVLRUNTUP\
  WTRYTS_TQWVPTWNQXMNZKJ_JG`IDbGAcF6dD3fC0gB0h86j6Fl\
  4On2Xo7VlCTiHRfMPcRN`VLZ_JWdHTiFQnDNrBLpHNnNPlSRdN\
  NYIKRDHWMU`VfaWdbXccXadY`eZZfZYg_Wh`Vi`TjXSoSReSQ`\
  ePWnO`mieliilqilvilgileildilbil`il_ikYikWikVikTP45\
  Q56S56S67U77V88W98Y99ZA9_BA`CAaDBbDBcECdFCeGDfHDmH\
  DzIEzJ_zKFzL_zLGzM_zNHzO_zPIzP_z_JzRiz_KzTiz_LzUiz\
  VMzWiz_Nz_vz_Nz_vz_Nz_vz_Nz_vz_Nz_vz_Nz_vz_Nz_vz_N\
  z_vz_Nz_vz_Nz_vz_Nz_vz_Nz_vu_Nu_Nu_Nu_Nu_Nu_Nu_Nu_\
  Nu_Nt_Nt_Nt_Nt_Nt_Nt_Nt_N }

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