Fractal visionaries and enthusiasts:  

We are taught in religion class that if we are good while on earth and obey all the rules, we will have our pie in the sky bye and bye when we die.  My opinion is that it's too bad we have to be dead to enjoy our pie.  But maybe it's not all that bad.  In today's image we can have our pie while we're still alive.

The pie in question is not the kind we eat, but the kind that describes the ratio of a circle to its diameter -- the kind of pie that is spelled pi and has a transcendental numerical value of 3.14159....  To add to the confusion with today's image, it is not straight Z that is raised to the power of pi, it is (-Z), and what a difference that little minus sign makes in the appearance of the parent Mandeloid.

The parent has been turned on its side and is splitting apart along the parts that would normally lie on the Y-axis, resulting in a totally new fractal.  Today's image is a Julia set of the point where the X-axis intersects the split-apart western extremity of the parent fractal.

The name "Pi in the Sky Bye and Bye" refers to the exponent of Z, and might also be a warning to the youngsters that they had better be good if they want their pie.

The rating of 8-1/2 includes the standard half-point bonus for the coloring, which might even be a little too intense.

The calculation time of 2-1/3 minutes is about average, but viewing the image on the web sites will save a good part of that time.

Another near-perfect spring day graced Fractal Central today.  The day began with a temperature of 36F +2C but under full brilliant sunshine warmed to an afternoon high of 64F +18C.  The fractal cat fully enjoyed the strong afternoon sun on his shelf in the southwest window.  The humans enjoyed the entire day's weather, thinking of the coming summer activities.

The next FOTD will be posted in a certain number of hours.  To find the exact number of hours check back every so often.  Until whenever, take care, and ambiguity can sometimes be confusing.

Jim Muth
jimmuth@earthlink.net


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

PiInTheSkyByeAnBye { ; time=0:02:20.00 SF5 at 2000MHZ
  reset=2004 type=formula formulafile=basicer.frm
  formulaname=SliceJulibrot5 passes=1
  center-mag=-0.250391/0/0.9363296/1/-90/0
  params=90/0/90/0/-1.0876775/3e-008/0/0/3.141592653\
  58979/0 float=y maxiter=2500 inside=0 periodicity=0
  colors=000A00G30N52XABgFKnKUsJczKqzPzzUzzZzzezqhzZ\
  0vB0c00P0060000000000000G20lG0zP0zc2zl0zZ0zK0zBcz0\
  ml0mU0ch0cq0cz0cz0cz0cz0mz0mz0mz0mz0mz0rz0vz0zz0zz\
  0zz0zz0zz0zz0zz0zz0zz0zz6zz0zz0zz0zz0zz0Zz00zP0zz0\
  zq0zh0zZ0zP0zG0z60z00z00z00z00z00z00v00q00z00z00z0\
  0z00z00z02z0Kz0Zz0qz0zz0zz0zz0zz0zz0zz0zz0zz0zz0zz\
  0zz0zz0zz0zz0zz0zz0zz0zz0zz0zz0zz0zz06v0zz0zz0zz0z\
  z0zz0zz0zz0zz0zz0zz0zz0zz0zz0zz0zz0zz0zz0zz0zz0zz0\
  zz0zz0zz0zz0zz0zz0zz0zz0zz0zz0zz0zz0zz0zz0zz0zz0zz\
  0zz0zz0zz0zz0zz0zz0zz0zz0zz0zz0zz0vz0q0zz0zz0zz0zz\
  0zz0zz0zzBzzPzzczzqzzzzzzzzzzzvzzqzzhzzZzzUzzKzzBz\
  z6zz0zz0zz0vz0qz0lz0hz0qz0vz0zz0zz0zl0zP0z60z00z00\
  z00z00z00z00z00z00q02Z0BB0K00U00q00Z00G000000000B2\
  0PG0c60Z20U00P06K0hl0zz0zz0zz0zz0zz0zz0zz0zq0zh0zZ\
  0zU0zK0zB0z20z00z06z0Gz0Pz0Uz0cz0lv0vh0zU0zG0z20z0\
  0z00z00z60zh0hz0lz0lz0qz0 }

frm:SliceJulibrot5   {; draws all slices of Julibrot
  pix=pixel, u=real(pix), v=imag(pix),
  a=pi*real(p1*0.0055555555555556),
  b=pi*imag(p1*0.0055555555555556),
  g=pi*real(p2*0.0055555555555556),
  d=pi*imag(p2*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), esc=imag(p5)+9
  c=p+flip(q)+p3, z=r+flip(s)+p4:
  z=(-z)^(real(p5))+c
  |z|< esc }

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