[Fractint] FOTD 25-08-13 (Pentagonal Paradise [A-7,M-6])

25 Aug 2013

      FOTD -- August 25, 2013 (Rating A-7,M-6)

Fractal visionaries and enthusiasts:

Today's speedy image is a Julia set of a MandelbrotBC Mandeloid. 
The corresponding Mandelbrot set came about when I calculated 
the Z^(1.11)+C Mandeloid 111 levels up the hyperladder with the 
floor rounding function applied.  This Mandeloid is shaped like 
a torpedo, as are so many Mandeloid fractals in the range just 
above Z^1, or unity.

The formula is the original JuliaBC formula posted to the 
Fractint list a number of years ago by Andrew Coppin and 
reworked by myself several times since then.  The MandelbrotBC 
version is one of the most prolific formulas of all time.  
(formulae for the over-educated) 

The artistic worth of a 7 and math worth of a 6 might be a bit 
conservative, the image, with its electric blue highlights, is 
really rather striking, but at least IMO the over-familiarity 
holds down the values.

The name "Pentagonal Paradise" has nothing to do with heaven.  
It refers to the few smaller inner highlights, which have 
somehow formed themselves into near-perfect pentagons.

The calculation time of 30 seconds will appear to pass in a 
flash.  This blinding flash may be avoided by viewing the 
finished image on one of the web sites.

The FOTD web sites are at:

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

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

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

  <http://user.xmission.com/~legalize/fractals/fotd/about.html>

The perfect weather keeps coming here at Fractal Central.  Today 
brought tons of sun and a temperature of 82F 28C, which kept 
both cat and humans happy.  The next FOTD will be posted when 
the aliens from outer space appear, and from what I read, this 
will most likely be within a day or so.  Until whenever, take 
care, and maybe the aliens are already among us.

Jim (I am not an alien) Muth
jimmuth@earthlink.net

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

PentagonalParadise { ; time=0:00:30.00 SF5 at 2000MHZ
  reset=2004 type=formula formulafile=allinone.frm
  formulaname=JuliaBC passes=1 center-mag=-0.120052/\
  -0.119167/0.7668/1/-87.5/0 params=1.11/0/111/0/\
  -0.041/0.146/0/0 float=y maxiter=256 inside=bof60
  logmap=yes periodicity=6
  colors=0000Kz0Fv0Ar07m05h02c00Z00U00P00K00F00D00C0\
  0A009007006Uzz00000600A00C00F40I60Q80V90Z90c90hA0m\
  A0rB4vA5zA6zA7zA8zA9zAAzABzACzADzAEzAFzAGzAHzAIzAJ\
  zAKzALz4aG5ZL6XQ7UU8SZ9QbANgBLlCIpDGujgqzv0zt0zr0z\
  pVznWzlYzjZzhUzgPzeKzcAza0z_0zY0zW0zU0zT0zR0zP0INr\
  HLsGJuFHvEFxHs4Gq7Go9GmCGlEGjHGhJFfLFeOFcQFaTF_VFZ\
  XEX_EVaETdESfEQiEOkDMmDLpDJrDHuDFwJW1IT9HRHGPOGNWF\
  KcEIjDGruLIpKNkJSfIXaHaXHfSGkNFpIEu5QZ6P`6Ob7Nc7Ne\
  8Mf8Lh9Lj9KkAJmAInBIpBHrCGsCGuDFvDExaoeZjhWfjTblQZ\
  nOUqLQsIMuoQDhVGa`KVeNNjQGpU9uX2z_EybQxe`xhlwkwwno\
  shgpc_lZTiTLeODbJ6_EG`HQaJZbLc_KhYJmVIrTIsUPtVWuVb\
  vWiwXpwXvoVuhUuaTtVRtOQsHPsKSlMVfPY`R`VUcOWfIZiC`k\
  6Xj9UiCQhFNgIKgLEcG8_B3W76YE8_LAaRG_MMZISYEYW9cV5h\
  U1bW3YX5TZ7O_9JaBEbD9cETQHkCJeBL`ANW9PR8QM7SH6UC6V\
  BQKBh9LiIViRdj_njhwjpWV`4FM8INCKOGMPJOPNRQRTRVVSYX\
  S`aWbf_dkcfpghukjzorh`ySM }

frm:JuliaBC   { ; Formula by Andrew Coppin
  e=p1, p=real(p2)+PI, q=2*PI*floor(p/(2*PI)),
  r=real(p2)-q, C=p3, Z=Pixel:
    Z=log(Z)
    IF(imag(Z)>r)
      Z=Z+flip(2*PI)
    ENDIF
    Z=exp(e*(Z+flip(q)))+C
  |Z|< p4+100 }

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

[Fractint] FOTD 25-08-13 (Pentagonal Paradise [A-7,M-6])

Jim Muth