Fractal visionaries and enthusiasts:

Today's image is named "Tangent to What?".  The name refers to the 'atan' outside fill that created the slightly unusual pattern surrounding the central minibrot.

The word 'slightly' explains the humble rating of a 6-1/2.  Had the scene been a bit more unusual, the rating might have been a point or two higher.

The image is a scene in the period-15 radical on the southwest shore line of the Z^(1.998)+C Mandeloid as it appears 3 levels up the hyperladder.  The parent fractal resembles an everyday Mandelbrot set rotated about 30 degrees CW, so that the negative X-axis passes through the south branch of Seahorse Valley.

In these almost-whole-number Mandeloids, most of the action lies along the negative X-axis.  But with the MandelbrotBC3 formula, Mandeloids may be rotated so that any desired part is intersected by the X-axis, giving the ability to subject any desired part of the almost-M-set to distortion.

The calculation time of just under 6 minutes is too long for comfort.  Once again, thank goodness for the web sites.

The day began with fog here at Fractal Central.  At 9am a brief but lively thunder shower passed over, which was followed by a warm and unpleasantly muggy morning and a rather hot muggy early afternoon.  Another brief but heavy thunder shower passed over around 3pm, doing nothing but adding more humidity.  The high temperature of 86F 30C combined with a humidity around 90 percent kept things feeling like the Pacific end of the Panama Canal, which BTW is farther east than the Atlantic end.

The fractal cats have never been to Panama, and never will be, but they know what to do in muggy weather.  They stretched out in the coolest place they could find.  The humans spent the day relaxing.  (The more we do it, the more we like it.)  The next FOTD will be posted in 24 hours.  Until then, take care, and who will be the one to get rich making shoes for bigfoot?  When we find one, it is sure to need some pretty big shoes.

Jim Muth
jimmuth@earthlink.net


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

Tangent_to_What?   { ; time=0:05:53.28-SF5 on P4-2000
  reset=2004 type=formula formulafile=basicer.frm
  formulaname=MandelbrotBC3 function=recip passes=1
  center-mag=-0.760974178524143/+0.0000000293206752/\
  8.129853e+010/1/22.5/0 params=1.998/0/3/0 float=y
  maxiter=3500 inside=255 outside=atan periodicity=6
  mathtolerance=0.05/1
  colors=000dsidsgdsedscdsads_dsYdsWdsUdsSdrQdrOcrMc\
  rKcqIbqHbqHbpIapIapJapJ`oJ`oK`oK_nK_nL_nLZnLZmMZmM\
  YmMYlNYlNYlNXlOXkOXkPWkPWjPWjQVjQVjQViRUiRUiRUhSTh\
  SThSThTSgTSgTSgURfURfVRfVQfVQeWQeWPeWPdXPdXOdXOdYO\
  cYNcYNcZNbZNbZMb_Mb_Ma`La`La`L`aK`aK`aK`bJ_bJ_bJ_c\
  IZcIZcIZdHZdHYdHYeGYeGXfGXfFXfFXgFWgEWgEWhEVhDVhDV\
  iDViCUiCUjCUj8ViAUjBUjCUjDTjETkFTkGSkHSkISkKRlLRlM\
  RlNQlOQlPQmQPmRPmSPmTOmVOnWOnXNnYNnZNn_Mo`MoaMobLo\
  cLoeLpfKpgKphKpiJpjJqkJqlIqmIqnIqpHrqHrrHrsGrtGruG\
  svFswFsxFszDryEsyFsyGsxHsxIsxJsxKswLtwMtwNtvOtvPtv\
  QtvRtuStuTuuUuuVutWutXutYusZus_us`vsavrbvrcvrdvqev\
  qfvqgvqhwpiwpjwpkwplwomwonwoownpxnqxnrxnsxmtxmuxmv\
  xnwymvxmvxmvxmvwmvwmvwmvvmuvmuvmuugtcerccpcanc_lcY\
  jcWhcUfcTdcSbcS`cR_cRZbQYaQX`PW_PVZPUYOTXOSWNRVNQU\
  MPTMOSLNRLMQKLPKKOKJNJIMJHLIGKIFJHEIHDHGCGGBFFAEF9\
  DF8AF8AF8AF8AF8AF9AF9AF9A }

frm:MandelbrotBC3   { ; by several Fractint users
  e=p1, a=imag(p2)+100
  p=real(p2)+PI
  q=2*PI*fn1(p/(2*PI))
  r=real(p2)+PI-q
  Z=C=Pixel:
    Z=log(Z)
    IF(imag(Z)>r)
      Z=Z+flip(2*PI)
    ENDIF
    Z=exp(e*(Z+flip(q)))+C
  |Z|<a }

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