Fractal visionaries and enthusiasts:

Today's image rates a double question mark.  This expresses my puzzlement with the things I see on the screen.

In yesterday's FOTD discussion I remarked that the image was located in a kind of phantom East Valley, which is filled with minibrots of the most extraordinary kind.  In today's FOTD I show one of these weird minibrots.

Judging from the 6-part pattern around the minibrot, it is of order-6.  But there is nothing at all in the minibrot itself that resembles one created by an exponent of 6.  In fact there is nothing at all in the shape of the minibrot that gives the slightest clue to what is going on with it.  The only hint of what might be going on is the orbits of the points inside the minibrot, which for the most part are in a straight line.

The generating formula simply combines portions of Z^3 and Z^4.  I see nothing in the math that might create order-6 features, though the overall area is filled with smaller, purely quadratic minibrots.  This would be expected however.

The name "One Crazy Minibrot" expresses my feelings about the image.

The calculation time of 51 seconds included in the parameter file is 1/4 of the 3-1/3 minutes the image took to calculate on the 200mhz backup machine.

The weather today here at Fractal Central was interesting to say the least.  The day began with light rain, but by 10am the rain had changed to heavy snow, which fell through the day.  At post time, about 3 inches, 7cm of slushy snow had piled up, with up to 1 foot, 30cm forecast.  The temperature of 34F +1C was a bit above freezing, but the snow fell faster than it could melt.  The fractal cats spent much of the day in their watch-window, watching the big floppy snowflakes come down.

I spent the day readying the snow-clearing stuff, while FL gave moral support.  The next FOTD will be posted in 24 hours.  Until then, take care, and I still do not believe that aliens from outer space are visiting earth, but now that it looks like neutrinos might be able to travel faster than light, I can no longer say with certainty that it is impossible.  In fact, since travelling faster than light means going backward in time, maybe the 'space' aliens are our own descendants from the future, visiting their distant ancestors, who are us.

Jim Muth
jamth@mindspring.com
jimmuth@aol.com


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

One_Crazy_Minibrot { ; time=0:00:51.00 SF5 at 2000MHZ
  reset=2004 type=formula formulafile=basicer.frm
  formulaname=MandAutoCritInZ function=ident passes=1
  center-mag=+0.5253127943779698/+0.0013009090856459\
  /33046/1/-50/0 params=1/3/-0.355/4/0/0/0/0 float=y
  periodicity=6 maxiter=1800 inside=0 logmap=30
  colors=000MKINKJOKKPKLQKMRKNSKOTKPUKQVLRWMSXNUYOWZ\
  PY_R``TdaVhbXkcZmd_oe`qfasgbthcthdthftihujjvlluLzR\
  0XI3`HFeGbgGolGzyekhhdjkZlnSoqf3Rc4P`4MX4KU4HR5FO5\
  CL5AMOcNQYOSSpp0fh8X`Ffe0X_B4ML9OMEQMJSMiO6cQAZRET\
  TIVKscgWYbSTYPU5ESEHQMKCYaGWWKVRF6eaAtYFkVKbRPUvcH\
  yo4lgA_`GPVfOUWJbJMYLZrLESbITX_coORrOTRI4XKBULHRNO\
  OYOsVQjTRbQTUtJVcPQbnkVcZrMvbQc1yvbHsSs3QfDwVIkUK_\
  UL0vs8lgGbXXasUZgRWXxcpeZ`s4icHY7VRCUPGUOmUNmILm5F\
  mH9mIAmIGm54mwrmbmmJOmKPmLQmMRmMSmRUmVWmZYmb_mJ_mU\
  VmdQmoLmzGmxOmvWmtcmrkmlbmfUm`MmPimMgmKfmIemGdm9Mm\
  23mBBmJImRPrTRrVTrXVrZWrXTrWRrWNrVOr3UrP3rc6rlOrgN\
  rbNrYMrTJrULrx7rytrqkzibzaUzflzbez_ZzXSz7AzFEzNIz`\
  2zy7ziFzu2zk9zbGzUSzUPzJwzCxzHnzmdzmVzmLzmMzmozmez\
  mWzmczmczmczmczmczmmzmmzmmzmmzzmzzmzzmzzmzzzzzzzzz\
  zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\
  zzzzzzzzzzzzzzzzzzzzzzzzz }

frm:MandAutoCritInZ {; Jim Muth
a=real(p1), b=imag(p1), d=real(p2), f=imag(p2),
g=1/f, h=1/d, j=1/(f-b), z=(((-a*b*g*h)^j)+(p4)),
k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel):
z=k*((a*(z^b))+(d*(z^f)))+c,
|z| < l }

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