Fractal visionaries and enthusiasts:  

At first glance it appears that the minibrot at the center of today's image is quadratic.  At second glance however, things are seen to be not quite as they should be.  The count of the surrounding elements is far from the expected 2,4,8... series, indicating that the minibrot is not quadratic, but of order 1.75.

The parent fractal is the slice through the hyperspiral at a level of 3 turns up the ladder.  This parent resembles a squashed bug, with a smaller disconnected bug lying just northwest of the main body.  Today's scene is located in a valley on the northeast shore line of this smaller bug.

I have named the image "Bogus Minibrot" because the central midget so closely resembles a quadratic one, yet is actually created by the expression Z^(1.75)+C.

The are rates an 8.  I put about 20 minutes effort into the coloring.  The math rating of a 6 lags behind because we have been here so often before.

The calculation time of 2-1/2 minutes is fair enough, and the remaining effort of running the parameter file may be eliminated by viewing the scene on one of the web sites.

Near perfect weather prevailed here at Fractal Central today.  The morning fog cleared off by 9am, leading to a day with tons of sun, enough clouds to make things interesting, and a temperature of 68F 20C.  The fractal cats busied themselves watching the pigeons, while the fractal humans watched the work get done.

The next FOTD will be posted in a day or two or three.  Until whenever this is, take care, and a few hundred years ago we survived without electricity.  Now we would face imminent extinction if we ever lost the use of our hi-tech gadgets.  Is this to be considered progress, and if it is, what is the goal?

Jim (Technology will save us.) Muth
jimmuth@earthlink.net


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

Bogus_Minibrot     { ; time=0:02:30.00 SF5 at 2000MHZ
  reset=2004 type=formula formulafile=basicer.frm
  formulaname=BranchCutGenHJ maxiter=3600 inside=0
  center-mag=-0.7609519499142745/+0.2555074239934655\
  /4.212139e+009/1/165/0 params=1.75/0/0/3 float=y
  logmap=460 periodicity=6 mathtolerance=0.05/1
  colors=00000C11D11E11F11G22H22I22J33K33L44M44N55Q5\
  5T66W67U59T6BR8FRAJQCNUKLZWRczZjotzB5O95O85O76O67O\
  59O5BOaiSenThsUmxVrzVwzVqzTkvP_sNVnKPiGLfFGbCBY87W\
  75R55O54N44N44N45N47N49N4AN4BL4DL4FL4HL5IL5KL5NL5O\
  M5QM7TN8UN8XOAYOB_PCbPDcQEfQFhRGiRGkQGmQGnPHpOHcNH\
  cMHcMHcMIcLIcKIcKJcKJcJJcJJcIIcGIcFHcEHcDHcDHcFKcH\
  MhIMmJNiKOeLP`MQXORTPRRRRPRULSWIUYEX_AYb8`c8bf9dh8\
  bf8af8ae8Ze8Xc7U`7RY7PY7NY7LY8JY9HYBG_BEYCEYDCYB9X\
  A7XA6U85T85Q85O74N44J33H33Hhzmezhbzc_zZYnUZhXZb__`\
  b_Zh`Vp`RvXMqTJnQGkNDhKAeH7bMAmPBvRBqUBmYGi_LebQae\
  XaXTWQQQLLLGLJ8KF4KC4K95O9BTBGXCM`BTcCZhDemClqDstE\
  bBvZAmW8eS7YQ5RN4KL4FCzzGvzKsyOoxSkvVht`gtdeseaqhX\
  piTnmPnjNmhMmfLmdJkcJk`IkZHkYGiVEiUEiRDiPBhOAhM9hK\
  9hJDeJGbKK_ILXHNUFPRFOOLpAJk9ppAppDppJppOppTppoppl\
  ppizzhzzgzzdzzazzezzdzzczzczzzzzzzzzzzzzzzzzzzzzzz\
  zzzzzzzzzzzzzzzzzzzzzzzzz }

frm:BranchCutGenHJ     { ; Jim Muth, thanks to Hal Lane
Z=C=Pixel:
Z=log(Z),
Z=exp(p1*(Z+(p2)))+C,
|Z|<100 }

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