Fractal visionaries and enthusiasts:  

The name of today's FOTD, "1.4142_Minibrot", says it all.  The image is a view of a minibrot in the Z^(sqrt(2))+C Mandeloid as it appears at a level of 1.373 turns up the hyperspiral.  At this not very lofty height the parent fractal resembles nothing as much as a lima bean with a short filament extending southwest and a long but disconnected filament extending north.  Today's scene is located in the East Valley of a larger minibrot on the northern filament.

Actually the hyperspiral does not produce an infinite variety of fractals, but is a loop of 4.4428828..., at which point the fractal returns to the one that exists at the zero level and starts the cycle over.

The art rates an honest 8.  I spent near a half hour on the colors.  With a rating of 5, the math falls short however.  The math is now old stuff.

The calculation time of 1-1/2 minutes is fast enough to avoid impatience, and slow enough to enjoy the unfolding of the scene.  And as always, instant relief is available on the web sites.

The weather was perfectly average here at FC today, with hazy sun and a temperature of 81F 27C.  The fractal cats agreed.  The humans also agreed.  Until the next FOTD appears in a day or two or three, take care, and wonder what it's all about.

Jim Muth
jimmuth@earthlink.net


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

1.4142_Minibrot    { ; time=0:01:30.00 SF5 at 2000MHZ
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  formulaname=BranchCutSqrt center-mag=-0.8578916604\
  056522/+2.65631676384417/1.102536e+010/1/117.5/0
  params=1.373/0 float=y maxiter=1500 inside=0
  logmap=248 periodicity=6 mathtolerance=0.05/1
  colors=00000000000001002003004548A7CFAGKDJPGNUKRZN\
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  N6tR1uU3uR4uO6uL7uJ9uGOll }

frm:BranchCutSqrt       { ; Jim Muth
Z=C=Pixel:
Z=log(Z),
Z=exp(1.414213562373*(Z+flip(real(p1))))+C,
|Z|<36 }

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