Fractal visionaries and enthusiasts:  

Today's image lies on the main negative spike of its parent Mandelbrot set, which is corrupted in its depths by Z^7 energies.  It is located just east of the large minibrot.

I named the image "Elusive Butterfly" when it reminded me of a butterfly, a colorful insect that many years ago my grandfather called a flutterby.

The image actually shows a center of anti-bifurcation, where the number of elements is cut in half as the center is approached, and instead of a bottomless minibrot, a peak lies at the center.

Thanks to the brilliant coloring, the art aspect of the image rates an 8.  The math aspect still has enough originality to be worth a rating of a 7.

The calculation time of 2-2/3 minutes borders on slowness, but luckily the official FOTD web site is again up and running along with the other FOTD sites.

We had lots of sun here at Fractal Central today, but when the day dawned with a temperature of 12F -11C and high winds, it hardly felt like a spring morning.  The afternoon high of 27F -3C brought but a little improvement.  Fractal cat Nicholas took advantage of the brilliant sun on the southwest shelf, while Jasmine continued her recovery in her private room.  The fractal humans had another near-average day.

The next FOTD will probably be posted in 24 hours, as most FOTD's are.  Until the next time, take care, and until man uncovers and accepts the mysteries of the universe, he will never solve his most stubborn problems.

Jim Muth
jimmuth@earthlink.net


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

Elusive_Butterfly  { ; time=0:02:40.00 SF5 at 2000MHZ
  reset=2004 type=formula formulafile=basicer.frm
  formulaname=FinDivBrot-2 function=recip passes=1
  center-mag=-1.747311130379525/0/3.253021e+009/1/\
  -90/0 params=7/1e+020/0/0 float=y maxiter=2400
  inside=0 periodicity=6 mathtolerance=0.05/1
  colors=000DUzAUz6Uz4Uz1Qz0Oz0Mv0Kr0Im0Gj0Dl0Aj08g0\
  6e04d01b00`00Z20Z50X60W90UC0SD0Q0Dz5KpGP`WWNj`Azd0\
  vY8sRFpMNoGWmCdk6nh2x`DPKJ08P00N00P05P0DP0NP5XQCgQ\
  KtQSzQ`zZltgxprz0SI0F8050000200800DF0KX0mk5zzKnP0g\
  00b00W00P20I60QA0XF0eK0nP0xU0zZ0zb00pzD9gz0Kp0Gd0D\
  0DW0DW0DW0FW0GW0IW0KW0KW0LW0LW0NW0NW0PW0PW0QW0QW0S\
  U0SU0UU0UU0WU0WU0XU0XU0ZU0ZS0`S0`S0bS0bS0dS0dS0eS0\
  eS0eS0dW0bX0`Z0Z`0Zb0Xd0We0Ug2Sl5Qn8PpCNrFLvKKxNIz\
  0Nn0Lp0Lp0Lz0Lp0Lp1Lr2Lr2Lr4Lr4Lr5Lt5Lt6Kt8Kt8Kt9K\
  v9KvAKvCKvCKvDKxDKxFKxFKxGIxIIzIIzKIzKIzLIzNIzNIzP\
  IzPIzQIzDLSFKUFKWGKXGKZIK`IKbIKdKKeKKgLIjLIlNInNIp\
  NIrPItPIvQIxQIz`8vZ9xZ9xZ9xZ9xD0US0FQ0IP0LP0PN0SL0\
  WL0ZK2`K5dI9gGDlGGpFLtFPvNGeU9S`4Gj05rA0zK0zU0xK0p\
  A6e2NZ9eSGzZ2CQA8GI59S11b00l00x00z00n00W04F0A24G1A\
  N1GU1N`1Ue0bn0jv0rz0zz0zz1zz2zz2vv4rr5pp5ll6gg8de8\
  `b9ZZAWXASUCPQDLPDKKDNGDP }

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