Fractal visionaries and enthusiasts:  

Today's generating formula is Z^(PHI)+C iterated PHI levels up the hyperspiral by the Mandelbrot4BC formula.  PHI of course is the 'golden ratio', where the ratio of 'a' to 'b' is the same as 'a+b' to 'c'.

The parent fractal created by all this is little more than a large shapeless bay stretched out northwest to southeast, with a prominent period-3 bud on the southern side but no period-2 bud at all.  Today's scene is located in a small patch of debris on the western side of the northern half of the bay.

Feeling generous, I rated the art aspect at a 7.  Since the math trick is worn out by this time, I could rate the math no higher than a 6.

The calculation time is quite fast, finishing in only one brief minute on a SOTA machine not afraid of DOS.  The web sites are ready to eliminate all traces of computer fear.

Heavy clouds are covering the Fractal Central area today, with rain expected by nightfall.  The lowering conditions are not worrying the fractal humans or cats however, since we have more important things to do.

The next FOTD will be posted in either two or three days.  Until whenever, take care, and one day fractals might save the earth.

Jim Muth
jimmuth@earthlink.net


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

PHI_in_PHI         { ; time=0:01:00.00 SF5 at 2000MHZ
  reset=2004 type=formula formulafile=basicer.frm
  formulaname=Mandelbrot4BC center-mag=-0.625039/\
  0.30438/58 params=1.61803398749895/1.61803398749895
  float=y maxiter=1800 inside=0 logmap=17
  periodicity=6 mathtolerance=0.05/1
  colors=00060O50P50Q50R50S95TC9UFDWIHYLM`PScXThVXmY\
  `ZhdXdhUglzjpPzcNpxL334ipIzzzcccQUAJM7DF5672uONoLK\
  eIH`GFUDCNAAG87A55522wvlnmeeeZYXSPPLHGE887JGYHEUFC\
  RDBNB9K98H76D54A336113G6UF5SE5QD4OC4MB4KA3I93G83F7\
  2D62B519417315203101pUTjRQeON`LKVIHQFELCBF98A65532\
  v6oT3QKu9Io8Gj7Ee6C_5AV49Q47L35F23A1150NCDs_NlVKeR\
  HZMESIBLD8E95742ySkVEOll8gg7bb6YY5TT4OO4JJ3EE29914\
  40J3PH2MF2KD2HB1F91C71A507305102rSbjOXbKRVGMNCGF8B\
  745wdmr`hmYdhU`cRXZNTUKPPHKKDGFACA68534wdu4snO3DL2\
  aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa\
  aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa\
  cmmcmmcmmcmmcmmcmmcmmcmmcmmcmmcmmcmmcmmcmmcmmcmmcm\
  zczzczzczzczzczzczzczzczzczzczzmzzmzzmzzmzzmzzmzzm\
  zzmzzmzzmzzmzzmzzmzzmzzmzzmzzzzzzzzzzzzzzzzzzzzzzz\
  zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\
  zzzzzzzzzzzzzzzzzzzzzzzzz }

frm:Mandelbrot4BC   { ; by several Fractint users
Z=C=Pixel:
Z=log(Z),
IF(imag(Z)>0),
Z=Z+flip(2*PI), ENDIF
Z=exp(real(p1)*(Z+flip(imag(p1))))+C,
|Z|<36 }

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