Fractal visionaries and enthusiasts:  

NEW FORMULA!!

Today's image is named "Miracle Fractal".  The miracle is that, with an exponent of Z of 1.05, it exists at all, and also that I was able to find it.

The parent fractal resembles an indian arrowhead, with small areas of chaos scattered along the edges.  Today's image is located deep in one of these apparently barren areas of chaos on the northern edge of the large main open area.

Both the art and math rate an 8.  The extra coloring effort earns the art rating.  The unlikeliness of finding a minibrot at all in the parent fractal makes the math also worth an 8.

The calculation time of 7-1/4 minutes is a drag, but help is available at the web sites.

Near perfect weather prevailed here at Fractal Central today.  The sunny skies, temperature of 84F 29C, low humidity and gentle breezes made both the fractal cats and people happy.  Fractal cat Jasmine, who has her one-year birthday in ten days, was especially frisky.  When she jumped from the couch onto Nico, he gave her a resounding hiss.

The next FOTD will be posted when it is ready.  The FOTD's have been coming slower lately, but at least IMO, they are better.  Until everything is ready, take care, and make progress.

Jim Muth
jimmuth@earthlink.net


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

Miracle_Fractal    { ; time=0:07:15.00 SF5 at 2000MHZ
  reset=2004 type=formula formulafile=basicer.frm
  formulaname=BranchCutGen passes=1
  center-mag=+0.01983111086924904/+1.915834481164043\
  /5.107806e+011/1/125/0 params=1.05/1.5 float=y
  maxiter=3600 inside=0 logmap=-1032
  periodicity=6 mathtolerance=0.05/1
  colors=00000G50W60S60S50X40S70P90MB0JE0GH0EF0BD08C\
  05O02I00F0NL0IU0RE6_H0`U0fU0dL0bT0aM0_F0Y80W20VIKa\
  XVhkeortzluzKpzEcmE`jEYgEVfDReDOdDLcDIbCFbCC_CAWC8\
  SJAPPRTV`ZaedgjjprszzzKosFkpAfn5bk0Yh0Uf3Xh6Zj9`kC\
  cmFeoIgpLkrPntUquYuwaxybzzawwatuaqr`op`jn`fk_ci__f\
  _Wd_XbRafIdj9gn0ir3gp6en9clCajF_hIYfKWeNUcQSaTQ_WO\
  YZMW`KV8_cBXdDUeFReHOfJLfLIgNFhPChR9iT6iV3jX1jY4fY\
  7cZA_ZCXZFU_IQ_KN`NJ`QG`SDaV9aY6a_3`Z6`Y8`XA`WC`VF\
  `UH_TJ_SL_RO_QQ_PS_OU_NWZMXYMXYLXXLYWKYWKYVJYUJZUI\
  ZTIZSH_SH_RG_RU_TUaUUcWUeXYgZYh_Yj`Ylbcnccpecqfcsh\
  cuicwjcxfcvbmuZmsVmrRmqUmmXmi_mebmaeeYhfVkhRnjNqkJ\
  tmFwnCpmBimAbm9Xm9Qm8Jm7Dm7GmAJmDMmGPmJSmMVmPYmS`m\
  UcmXfm_imblmeomhrmkumnwmpummtmjrmgqmdomanm_mmXkmUj\
  mRhmOgzLfzJgzJgzJhzJizJjzJjzJkzJlzJmzJmzJlzOkzSjzW\
  iz_hzcgzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\
  zzzzzzzzzzzzzzzzzzzzzzzzz }

frm:BranchCutGen        { ; Jim Muth
Z=C=Pixel:
Z=log(Z),
Z=exp(real(p1)*(Z+flip(imag(p1))))+C,
|Z|<100 }

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