Fractal visionaries and enthusiasts:

Romance fans enjoy the adventures of the Scarlet Pimpernel; cartoon fans laugh at Sylvester the cat playing the Scarlet Pumpernickel; but how many have heard of the Purple Pancake?

None?

This is because I just invented him (or it).  He is not a swashbuckling hero, he is a fractal -- the fractal that appears as today's FOTD.

The scene lies deep in a larger pancake on a filament extending northwest from the large period-2 bud of its parent Mandelbrot set, which is infected in its depths with order-6 germs.

The image rates a 7.  It has too many small imperfections to rate higher.  But even a 7 is three points above the abysmal rating of yesterday's miserable FOTD.

The calculation time of 2-1/4 minutes is reasonably fast, but faster viewing can be found on one of the FOTD web sites.

The day began gloomy here at Fractal Central, with heavy clouds hanging low.  But just after noon, the sun burst through in its full glory, bringing a near-perfect afternoon with full sunshine and a temperature of 68F 20C.

The fractal cats thought the conditions were perfect, and spent the time watching the world go by.  Meanwhile, the humans spent the day recovering from yesterday.  The next FOTD will be posted in 24 hours.  Until then, take care, and I just found a Higgs particle on the basement stairs.  I caught it and dropped it in an empty jar.  It is threatening to decay or tunnel out, so where do I take the particle to win the Nobel prize and get rich before it disappears?

Jim Muth
jimmuth@earthlink.net


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

The_Purple_Pancake { ; time=0:02:15.00 SF5 at 2000MHZ
  reset=2004 type=formula formulafile=basicer.frm
  formulaname=JulibrotMulti2 function=recip
  center-mag=-1.256470121037991/+0.3793502089871847/\
  2.45e+010/1/142.5/0 params=6/20000000/0/0/0/0/0/0/\
  0/0 float=y maxiter=3600 inside=0 logmap=230
  periodicity=6 sound=off mathtolerance=0.05/1
  colors=000UXUUWUTVUSUURTUQSUPRUOQUNPUMOULNUJMUILTH\
  KSGJREIQDHPCGPBEO9CN8AN78M66L55L74J83IA2HA1FA0EA0D\
  A0BA0AA09A07A06A05A03A02A01ASclemwzzusltnlsklrglp`\
  loXlnUlmQllMljJliFlhClg8lf5leBjeGheMfeRdeWcdaadf_d\
  lYdqWdvVfpThkRieQk`OmVMnQLnPLmPKmPKlOJkOJkOIjNIjNH\
  iNGhMGhMFgMFgLEfLEeLDeKDdKCdKCcJBbJBbJAaI9aI9`I8_H\
  8_H7ZH7ZG6YG6XG5XF5WF4WF4XG5XG5XG6XG6XH6XH7XH7XH7X\
  I8XI8XI8YI9YJ9YJAYJAYJAYKBYKBYKBYKCYLCYLCZLDZLDZME\
  ZMEZMEZMFZNFZNFZNGZNGZOG_OH_OH_OI_PI_PI_PJ_PJ_QJ_Q\
  K_QK_QKZPMZPNZOOZOPZNRZNSZMTZMUZMWZLXQOmSKmUGmWCcY\
  8UZ5KX4PV3UT3ZR2cU1Yc1TX0OS0JU4IZ7HcBGhEFmIEqLDzPC\
  zSCvTBrUBnVAlVAjW9hX9fY8dY8bZ7`_7Z_7W`DT`IQ`ON`TL`\
  ZI`cF`iC`n9`t7`yCemHiaMnQRrEQpDcoDcnDcmDclDcjDciDc\
  hCcgCmfCmdCmcCmbCmaCm`CmdFmgHzkJznLzqNzqNzrMzrMzsL\
  zsLzsLzuIzvGzwJzxLzyNzzPzzSzzUzzWzzYzz`zzbzzdzzfzz\
  izzkzzmzzozzkzzrzzszzszzt }

frm:JulibrotMulti2  {; draws all slices of Julibrot
  pix=pixel, u=real(pix), v=imag(pix),
  a=pi*real(p2*0.0055555555555556),
  b=pi*imag(p2*0.0055555555555556),
  g=pi*real(p3*0.0055555555555556),
  d=pi*imag(p3*0.0055555555555556),
  ca=cos(a), cb=cos(b), sb=sin(b), cg=cos(g),
  sg=sin(g), cd=cos(d), sd=sin(d),
  p=u*cg*cd-v*(ca*sb*sg*cd+ca*cb*sd),
  q=u*cg*sd+v*(ca*cb*cd-ca*sb*sg*sd),
  r=u*sg+v*ca*sb*cg, s=v*sin(a),
  aa=-(real(p1)-2), bb=imag(p1),
  c=p+flip(q)+p4, z=r+flip(s)+p5:
  z=(bb)*(z*z*fn1(z^(aa)+bb))+c
  |z|< 6 }

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