Fractal visionaries and enthusiasts:  

Today's image rates three 'bangs'.  Last evening I actually found a passable fractal image in the parent mandeloid that results when the expression Z^(1.001)+C is iterated 37.21 levels up the hyperladder.  That fractal appears as today's FOTD.

The parent fractal is a squashed and distorted oval with mostly smooth edges on the southeast half and sawtooth edges on the northwest half.  A most unexpected valley lies on the southern shore of the oval, while some slight irregularities appear on the southeast shore line.  Today's image lies in these southeast irregularities.

I named the image "Rainbow Rider", since the open area appears to have a head somewhat like a horse's, while the rest of the open space is drawn out into a rainbow-like arc.  The smoothly-blended rainbow colors supplied the final inspiration.

The open area in the image is not actually a minibrot, since it fills in if the maxiter is increased, but it is certainly more than I expected to find way down here in the bottom lands.

The down side of the image is its calculation time, which at a half-hour is beyond all resemblance of reason.  Luckily the web sites are online to save time and tempers.

Today was as close to perfect here at Fractal Central as it is possible to come.  The blue sky, brilliant sun and temperature of 66F 19C could hardly have been improved upon.  The fractal cat enjoyed the sun on his shelf, but the sun is now getting so high in the sky that it misses half the shelf.  The humans meanwhile attended to everyday things.

The next FOTD will be posted soon.  Until whenever that might be, take care, and it appears someone is spreading ricin through the mail.  I guess we'll have to ban either the mail or the castor bean plants.

Jim Muth
jimmuth@earthlink.net


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

Rainbow_Rider      { ; time=0:30:00.00 SF5 at 2000MHZ
  reset=2004 type=formula formulafile=basicer.frm
  formulaname=MandelbrotBC3 function=ident passes=1
  center-mag=-3.15118/-3.4669/34.75141/1/-17.5/0
  params=1.001/0/37.21/9900 float=y maxiter=4500
  inside=0 logmap=-3110 periodicity=6
  colors=000GcHFcJFcNEcKDcIDcGCcECcBBc9Bc7Ac5Ac1Ad3A\
  d4Ad5Ad6Ad7Ad8Ad9AeAAeBAeCAeDAeFAeGAeHAfIAfJAfKAfL\
  AfMAfNAfOAfPBfQCfRDfSEfTFfUGfVGfWHfXIfYJfZKf_Lf`Lf\
  `MfaNfbOfcPfdQfeQffRfgSfhTfiUfjVfkWflWflXfmYfnZfo_\
  fp`fq`frafsbftcfudfvefwdeyefwfguggthhrihpjiojimkjk\
  lkjmkhnlfolepmcrnaqmbpmbolcnlcmkclkdkjdjjeiiehiegh\
  ffhfeggdggcfgbfhaeh`ei_diZdiYcjXcjWbkVbkUakTalS`lR\
  `mQ_mP_mOZnNZnMYoLYoKXoJXpIWpHWqGVqFVqEUrDUrCTsBTs\
  9StATsATsAUsBUsBUsBVsBVsCVsCWsCWsCXrDXrDXrDYrDYrEY\
  rEZrEZrFZrF_rF_qF`qG`qG`qGbqGcqHdqHfqHgqLUnJXpH_qF\
  brDesBht9ju7lv5nw6lu7jt7hs8gr8ep9co9anA`mAZlBXjCWi\
  CUhDSgDQeEPdENcFLbFKaHJbJJbKIbMIbNIcPHcQHcSGcUGcVG\
  dXFdYFd_Ed`EdbEedDeeDegCehCfjCfkBfmBfoAfpAgrAgs9gu\
  9gv9gqBemCdhEbdFa`H`WIZSKYNLWJNVFOUGQSHSRHTQIVPJWO\
  JYNKZMK`LLaKMcIMeHNfGNhFOiEQkDRlCTnBWm5VoAUpFSqKRr\
  OUsTZtYcuahw`mx_ryZwzYzxX }

frm:MandelbrotBC3   { ; by several Fractint users
  e=p1, a=imag(p2)+100
  p=real(p2)+PI
  q=2*PI*fn1(p/(2*PI))
  r=real(p2)+PI-q
  Z=C=Pixel:
    Z=log(Z)
    IF(imag(Z)>r)
      Z=Z+flip(2*PI)
    ENDIF
    Z=exp(e*(Z+flip(q)))+C
  |Z|<a }

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