[Fractint] FOTD 12-11-12 (Root of Epsilon [5])

12 Nov 2012

      FOTD -- November 12, 2012 (Rating 5)

Fractal visionaries and enthusiasts:

Today's image is one of the sights we discover on a journey into 
the parent Z^(1.64872)+C Mandeloid as it appears 130 levels down 
the infinite hyperladder.

This parent is a near-symmetrical oval-shaped main bay with two 
large irregular buds, one on the north and one on the south 
shore lines.  The image for today lies in the debris field on 
the northwest shore line of the main bay.

The name "Root of Epsilon" refers to the exponent of Z, which by 
some strange twist of fate is the square root of 'epsilon'.

The rating of 5 is not much.  I admit the lack, but the 
calculation time of 1-1/3 minute is not much of a wait either.  
And the web sites can cut down even this brief wait.

The finished image is posted at:

      <http://www.crosscanpuzzles.com/Archives.html>

High-definition variations are online at:

<http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html>

The back images are available at:

       <http://www.Nahee.com/FOTD/>

Too many clouds spoiled the temperature of 66F 19C here at 
Fractal Central today.  The next FOTD will be posted within a 
day or so.  Until next time, take care, and grow with the times.

Jim Muth
jimmuth@earthlink.net

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

Root_of_Epsilon    { ; time=0:01:20.00 SF5 at 2000MHZ
  reset=2004 type=formula formulafile=basicer.frm
  formulaname=MandelbrotBC3 function=ident passes=1
  center-mag=-0.489177619169/+0.70722309564/8645276
  params=1.64872/0/-130/0 float=y maxiter=3600
  inside=0 logmap=107 periodicity=6
  colors=000EVbAVe7Uf4VdJWbXX`_YZXYXUYVKYTAYR7YP7YN7\
  `R7bV7dZ7baVWfQP`LJVHDPC7J81EB3HD5KF7NI9QKBTMDWOFZ\
  RH`TJcVLfXNi_PlaRocTreVthXkkYbm_Vp`MraEtcFveFzgGmi\
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  WmQWmPXmOYnMZmLZmK0mw6msBmoGmlLmhQzeVza_zYdzVizRcz\
  OczKczHczEczCcz9cz7cz4cz2cz6czAczDczHczKczOczRczVs\
  zZtzatzeuzhuzlvzovzsvzvozphzjzzdzzZzzTzzNzzHzzBzz6\
  zzDzzJzzPzzVzz`zzfzzlzzgzzbzzZzzUzzPzzLzzGzzBzz7zz\
  BzzEzzHzzKzzNzzQzzUzzXzz_ }

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