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 _________________________________________________________________ Look 'em in the eye: FREE Messenger video chat http://go.microsoft.com/?linkid=9734386