Another pair of fractals demonstrating the effect of positive and negative skipped iteration values
on the Zf_ang formula.What this shows about the math I couldn't  tell you, Jim Muth knows more
on this subject than I do.I have posted only one par. To recreate both fractals use imag(p2) values of +1 and -1.
Also the link for yesterdays blog posting appeared to be broken. It's now fixed, hope I didn't disappoint
anybody. Go to http://maxitersfractalfollies.blogspot.com and download two fractals for the price of one.

fract267.gif       { ; zf_ang blue and red
                     ; negative(-1) skipped iteration value
                     ; calctime   0:05:40.76
                     ; created Jun 21, 2010
                     ;  Fractint Version 2004 Patchlevel 9
  reset=2004 type=formula formulafile=_z.frm formulaname=Zf_Ang
  function=sqr center-mag=0.296636/0.0627236/1.173709
  params=0.5/0.5/0.5/-1/2/128 float=y maxiter=1500 inside=0
  outside=summ
  colors=zffzffzeezddzccyccybbyaay``x``x__xZZxYYwYYwXXwWWwVVwUUvUUvTTvSSvR\
  RuRRuQQuPPuOOtOOtNNtMMtLLtKKsKKsJJsIIsHHrHHrGGrFFrEEqEEqDDqCCqBBqAApAAp9\
  9p88p77o77o66o55o44n44n33n22n11m00m00l00l00k00j00j00i00h00h00g00g00f00e0\
  0e00d00c00c00b00a00a00`00`00_00Z00Z00Y00X00X00W00V00V00U00U00T00S00S00R0\
  0Q00Q00P00P00O00N00N00M00L00L00K00J00J00I00I00H00G00G00F00E00E00D00C00C0\
  0B00B00A00900900800700700600500ffzffzeezddzcczcczbbzaaz``y``y__yZZyYYyYY\
  yXXyWWxVVxUUxUUxTTxSSxRRxRRwQQwPPwOOwOOwNNwMMwLLvKKvKKvJJvIIvHHvHHvGGuFF\
  uEEuEEuDDuCCuBBuAAtAAt99t88t77t77t66t55s44s44s33s22s11s00r00r00q00p00p00\
  o00n00n00m00l00l00k00j00j00i00h00h00g00f00f00e00d00d00c00b00b00a00`00`00\
  _00Z00Z00Y00X00X00W00V00U00U00T00S00S00R00Q00Q00P00O00O00N00M00M00L00K00\
  K00J00I00I00H00G00G00F00E00E00D00C00C00B00A00A009008007
  }
frm:Zf_Ang {; Copyright (c) Paul W. Carlson, 1998
    ; p1       = Julia set coordinates
    ; real(p2) = controls size of the elements
    ; imag(p2) = number of iterations to skip
    ; real(p3) = number of color ranges
    ; imag(p3) = number of colors in a range
    ;
  z = k = iter = range_num = bailout = 0
  w = pixel
  c = p1
  prev_modw2 = 1.0e20
  size = real(p2)
  skip_iters = imag(p2)
  num_ranges = real(p3)
  colors_in_range = imag(p3)
  factor = (colors_in_range - 1) / size
  :
  w = c * (w - 1 / w)
  a = 2 * atan(imag(w) / real(w))
  a = a * a + c
  a = fn1(1 - a) / a
    ;
  dist = abs(|w| - |a|)
  IF (dist < size)
    bailout = 1
    IF (iter > skip_iters)
      k = 1
    ENDIF
    z = (factor * dist + range_num * colors_in_range + 1) * k
  ENDIF
  range_num = range_num + 1
  IF (range_num == num_ranges)
    range_num = 0
  ENDIF
  iter = iter + 1
  z = z - iter
  bailout == 0 && |w| < 1.0e20
  ;SOURCE: 98msg.frm
}
Roger Alexander

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