Today's fractal is a minibrot. The wandering minibrot, ubiquitous ambassdor for the escape time fractal.
Ready made at http://maxitersfractalfollies.blogspot.com
fract394.gif { ; nomadic minibrot
; blank
; calctime 0:05:27.91
; created Aug 31, 2010
; Fractint Version 2004 Patchlevel 9
reset=2004 type=formula formulafile=fract001.frm
formulaname=F'M-SetInNewtonC function=cotanh
center-mag=+2.18661583577712500/+0.00012135918839123/91.72629
params=-0.1602832117679373/0.8794213690603351/0.3886837366863002/0.28681\
29520554216 float=y maxiter=3600 proximity=2 outside=fmod
periodicity=0 cyclerange=0/255
colors=00000000200400600800A00C00E00G00I00K00M00O00Q00S00U00W00Y00_00a00\
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}
frm:F'M-SetInNewtonC(XAXIS) { ; same as F'M-SetInNewtonB except for bailout
; use float=yes, periodicity=no
; (3 <= p1 <= ?) and (1e-30 < p2 < .01)
z=0, c=fn1(pixel), cm1=c-1, cm1x2=cm1*2, twoop1=2/p1, p1xc=c*real(p1):
z = (p1xc - z*cm1x2 )/( (sqr(z)*3 + cm1 ) * real(p1) ) + z*real(twoop1),
abs(|z| - real(lastsqr) ) >= p2
}
Roger Alexander