Fractal visionaries and enthusiasts:

NEW FORMULA ALERT!

Today's formula, the JulibrotMulti2, is a new one, so be sure to copy it into your formula file.

The image is the first one I have found with the new formula.  I named it "A Mini What Is It" because I have no idea what kind of object it pictures.  The orientation of the slice is at some unimaginable angle in the 4-D Julibrot.

The parent fractal is a Mandelbrot set severely corrupted by Z^7 energies.  Today's image is located in some debris in the main period-2 bud area of the large minibrot on the west branch of the filament extending from the large period-3 bud on the north edge of the main bay of the parent fractal. 

The seven lobes of the object in today's image would lead me to believe that it is closer to a mini Julia set than a mini Mandelbrot set, though I would make no wagers that this is true.

The rating was held to a lowly 6 because of the childish coloring.  If the mathematical interest were lacking, the image would have been immediately consigned to the waste basket.

The calculation time of 50 seconds is quite fast, which means that little time will have been wasted if the image bombs.

Total sunshine and a temperature of 50F 10C made today a day to be remembered here at Fractal Central.  The fractal cats remembered the day until they realized they were hungry, when they remembered their food dishes.

The humans had another typical day of survival.  My team lost the overblown Stupor Bowl last evening, but with little interest, I had little disappointment.  The next FOTD, almost guaranteed to be an improvement, will be posted in 24 hours.  Until then, take care, and I heard from an acquaintance in Germany that the winter there is extremely severe and the threat of global warming must therefore be grossly exaggerated.

Jim Muth
jimmuth@earthlink.net


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

A_Mini_What_Is_It  { ; time=0:00:50.00 SF5 at 2000MHZ
  reset=2004 type=formula formulafile=basicer.frm
  formulaname=JulibrotMulti2 function=recip passes=1
  center-mag=-0.00000419666341536/-0.000001090057505\
  91/5.718129e+008/0.03494/116.824980536108171/53.90\
  11043740568496 params=7/400000/167.1/11.4/-125.5/\
  -157.5/-0.1618836541/1.0376863439/-0.1618836541/\
  1.0376863439 float=y maxiter=2000 inside=255
  logmap=40 periodicity=6
  colors=000orjoqiophoognnfnmenldmkcmjblialh`kg_kfZj\
  eYjdXicWhaUf_SeYPcUMbPJ`KGXFCRAEfTGmbHtkJztKxlLvdL\
  tXLsPMqHMo9Mq0Ln2Ml3Nj5Oh6Of8Pd9QbBR`CRYDSWFTUGUSI\
  UQJVOLWMMXMMVKNXJOYHP_CNcGP`KRZNTWRVUVXRYZPa_MdaKh\
  cHleFogCsiAvj8wlEwnKwpQwrWwtawvgyymwwlvuktsjsqiroh\
  pmgokfnielgdkecicbhaag_`eY_dWZbX`cVYdUWeSUeRSfQQgO\
  OhNMhLKOSSPTTQVTRXUSZVT`VUbWWaUVcWVdYUeZUf`UgaTicT\
  jeSkfSlhSmiRokRpmQqnQrpQsqhTMjULkUKlVJnVIoWHpWGmVH\
  kVIiUIgUJeUJcTKaTK_TLYSMWSMURNSRNQROOQOMQPKQPOONSM\
  LWKJ_IHcGGcEEcCCcAAc88c67c79c7Ac7Bc7Dj8Eh8Ff8Gd8Ia\
  9J_9KY9LW9NU9ORAPPARNASLATIBUGBWEBXCBKABKBAKCAKD9K\
  E9KF9KG8KH8KI7KJ7KK7KL6KM6KN5KO5K51WO5eU8oUBxUCuUC\
  sUDqUDoUDmUEkUEiUEgUFdUFbUG`UGZpGXpHVoHToHRnIOnIMm\
  JKmJIlJGlKEkKCkKAgLBdLC`g2_e3Zc4Ya5X`6VZ6UX7TV8ST9\
  RSAQQBOOBNMCMLDLJEKHFJFGHDGGCHFAIE8JD6KC5KD7LE9MFB\
  MGDNHFOIHOJIPKKQLMQMORNQR }

frm:JulibrotMulti2  {; draws all slices of Julibrot
  pix=pixel, u=real(pix), v=imag(pix),
  a=pi*real(p2*0.0055555555555556),
  b=pi*imag(p2*0.0055555555555556),
  g=pi*real(p3*0.0055555555555556),
  d=pi*imag(p3*0.0055555555555556),
  ca=cos(a), cb=cos(b), sb=sin(b), cg=cos(g),
  sg=sin(g), cd=cos(d), sd=sin(d),
  p=u*cg*cd-v*(ca*sb*sg*cd+ca*cb*sd),
  q=u*cg*sd+v*(ca*cb*cd-ca*sb*sg*sd),
  r=u*sg+v*ca*sb*cg, s=v*sin(a),
  aa=-(real(p1)-2), bb=imag(p1),
  c=p+flip(q)+p4, z=r+flip(s)+p5:
  z=(bb)*(z*z*fn1(z^(aa)+bb))+c
  |z|< 6 }

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