pagetop 
July 23, 2012: Sieve of Integers July 22 July 24 2012 FOTD Home
 Rating 7

sieve of integers

Fractal visionaries and enthusiasts: 

I have little ambition to write the discussion for today's image.  All I need to say is that it is an outzoom of yesterday's image, which lies near the right edge of the curious comb-like object in today's image.

I named the image "Sieve of Integers".  The large object filling the frame certainly could be taken as a sieve, and integers certainly are a part of any fractal.

With few good or bad points, the image rates an average 7.

The brief calculation time of 45 seconds will leave no one with a feeling of disappointment if the image lays an egg.

Today brought a return of the heat to Fractal Central, with lots of sun, high humidity, and an afternoon temperature of 93F 24C.  The fractal cats stretched out for the afternoon in the coolest places they could find.

The humans passed the day pondering human things, especially the existence of evil.  FL tells me I am spreading negative energies by calling people idiots and their opinions asinine.  Maybe I am.  But as I see it, our culture is already overflowing with negative energies.  The least I can do is recognize the rampant negativity and point it out.  I'll go into more detail in an upcoming FOTD.

The next FOTD will be posted when it is ready, most likely in around 24 hours.  Until then, take care, and if we wish to see the ultimate cause of the latest massacre, we should turn on the TV, go to the movies, read the latest romance and action novels, play the latest video games, and listen closely to the current popular songs on the radio.

Jim Muth
jimmuth@earthlink.net


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

Sieve_of_Integers  { ; time=0:00:45.00 SF5 at 2000MHZ
  reset=2004 type=formula formulafile=basicer.frm
  formulaname=SliceJulibrot4 center-mag=-0.011883267\
  34218610/+0.00442452419706781/30199.4/1/-55/-25.64\
  10058243059709 params=89/89/89/89/-1.7435/0/\
  0.000175/0.073883/2.003/0 float=y maxiter=32767
  inside=0 logmap=65 periodicity=6
  colors=00000B00D10F20H30J40M50P60S80VA0YC1`E2cG6fI\
  9iKDlPGmQJmRNmSQoTUnUXlV_kWciXfhYigVfcTd`QbYO`ULYR\
  JWOGUKESHBPE9NA6L74J4DBRM3mQ9hUEcXKZ`PUdVPg_LhXKiV\
  KiSKjQKkNKkLKlIKlGKcLPWQTOUYGZa8beAcdBdcCecDfbFgaG\
  gaHh`Ii_Kj_LkZMlYNlYQmXSmXUnXWnWYoW_oWapWcpVeqVgpV\
  iqUksUmuUowUpwTpwSpwRqwRqwQqwPrwOrwOzbNzaMz`Lz_LzZ\
  NhcPcbRZbTUaVPaXKaZP`_T__X_`aZ`eZaiYanYbrXbvXbqWdm\
  WeiWfeWgaVhYViUVjPVkLVlHUmDUn9Uo5Up1UqDOoPIn`Cm`Dn\
  _Dn_DnZEnZEnYEnYEoYFoXFoXFoWFoWGpWGpVGpVGpUHp9TsUH\
  qTHqTHqTIqSIqSIrRJrRJrQJrQJrQKsPKsPKsOKsOLsOLtNLtN\
  LtMMtMMtLMtLNuLNuKNuKNuJOuJOvJOvIOvIPvHPvHPwGPwGQw\
  GQwFQwFRxERxERxERxDSxDSyCSyCSyBTyBTyBTzATzAUz9Uz9U\
  z92U93V93V93W94W94W94X95X95Y95Y96Y96Z96Z97Z97_97_9\
  8`98`98`99a99a99a9Ab9Ab9Ac9Bc9Bc9Bd9Cd9Cd9Ce9Ce9Df\
  9Df9Df9Eg9Eg9Eh9Fh9Fh9Fi9Gi9Gi9Gj9Hj9Hk9Hk9Ik9Il9I\
  l9Jl9Jm9Jm9Kn9Kn9Kn9LoSDG }

frm:SliceJulibrot4   {; 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=========================================