Fractal visionaries and enthusiasts:  

Today's image shows some of what happens when the expression Z^(1.75)+C is iterated in Mandelbrot mode a mere one-half level up the complex logarithmic hyperspiral.  The parent fractal is little more than a shapeless blob somewhat resembling a squashed bug.  Today's scene is located on a filament extending from the small period-5 bud on the southest side of the main bay.

The art rates an 8, mostly because of the unusual color scheme, which came about almost totally by accident.  The effect of small terraces was achieved by rendering the scene with the outside set to 'tdis'.

The math rates a 7.  I rated it because I was rather impressed with the near perfection of the central minibrot, which is quite well shaped, especially considering the chaotic shape of the parent fractal.  In fact, the minibrot could almost pass for an everyday distorted quadratic minibrot.

The surprisingly undistorted shape of this minibrot inspired the name "Small But Impressive".

The calculation time of 2-1/4 minutes is well within reason, and the web sites are there to make the task even easier.

Today, the second Sunday in September, turned out pleasantly brisk here at Fractal Central, with a mix of sun and clouds, a bracing north wind and an afternoon high temperature of 64F 18C.  At least the fractal cats must have thought so, since they checked the outside conditions from their window shelf almost constantly.  The fractal humans meanwhile checked very little of anything.

The next FOTD will be posted in a day or two or three.  Don't be surprised if it actually appears in one day.  Until whenever, take care, and I can't wait to not buy the latest electronic gadget, though one of these days I might actually pick up one of those throw-away cell phones.  As for now, how do I get along without a cell phone? . . . Actually quite well!

Jim Muth
jimmuth@earthlink.net


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

SmallButImpressive { ; time=0:02:15.00 SF5 at 2000MHZ
  reset=2004 type=formula formulafile=basicer.frm
  formulaname=BranchCutGenHJ passes=1 periodicity=6
  center-mag=+0.619070684629/-0.108169923219/2.7e+10\
  /1/117/0 params=1.75/0/0/0.5 float=y maxiter=12000
  inside=0 outside=tdis mathtolerance=0.05/1
  colors=000PQlMOnJMpGKqDIsBGtCHsCIsDIrDJrDJrBKpAKo9\
  Lm7Ll6Lk5Mi3Mh2Nf1Ne0Nd5Kf9HhDEjIBlM8nQ5oP9kOChOFd\
  NIaMLZMPVLSSKVPKYLJ`IJcFKbEKaEKaDL`DL`CL_CMZBMZBMY\
  AMYAK_9J`8Ia8Hb7Fd7Ee6Df6Cg5Bh5AfA9dE8bI8`M7ZQ6XU5\
  VY5Ua7Sb9QcBOcDMdEKeGIeIGfKEfLCgNAhP8hR6iS4iU8jWBj\
  SIdPPPUUUZZZccchhhmmmrrrzzzvvvrrrmmmhhhcccZZZYTkVF\
  jRCiO8eK4aH1XD0S90ND0NH3RL7TQCWSGZUL_XP_ZUZ``ZbeYc\
  lWmoVqtTwzSwzRwvNrtKmqHhmEchAZd7XX4WQ1TN4RJ6OI8MHA\
  JGCHGFEGHCGJ9GL7HNBNUFS_JXeNakQfqNdhLc_JbSGaJE_AKY\
  2UWGcUTmRfvOssNqpNomNmjNlgNjdNhaNfZNeWMcTMaQM_NMZK\
  MXHMVEMTBMSOEa`7kl0th2qd3o`4mX6jU7hQ8fMAcIBaFC_BEX\
  7FV3GT0HR9RPH_NQiLYrJVkNTdRRYVPSZMLbKEfI7jG1nH4lH7\
  jIAiIDgJGeJJdKMbKP`LS_LVYMYWM`VNZWNXXNVYNTZNR_NP`O\
  NaOLbOJcOHdOFeOEeUKhZQjdWliandcm_emVgmQimLkmGmmBom\
  7pmqZmk`lfal`ckWdkQfjLgjGhjLdfPacUZ_YVXaSUfPQjLNoI\
  JsFGwCDuGEsJErMEpPEoSEmVE }

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