Today's post is another mandelbrot newton hybrid. Ready made at http://maxitersfractalfollies.blogspot.com


Mandelbrot Newton      { ;fract520.gif
                     ; blank
                     ; calctime   0:45:28.17
                     ; created Nov 17, 2010
                     ;  Fractint Version 2004 Patchlevel 10
  reset=2004 type=formula formulafile=_m.frm
  formulaname=MandelbrotInNewton
  center-mag=-0.53594159502949720/+1.74212079795591200/1518260/1/-159.9999\
  99995772896/-6.8065392974658856e-009 float=y maxiter=1500 inside=0
  logmap=123
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  nXdmWclVbkT`iS_hRZgQXfPWeOUdNTcMSbLQaKP`IO_HMZGLYFJXEIW
  }
frm:
MandelbrotInNewton(XAXIS) {; use float=yes: from CAL v4.0 by Tim Harris
  z = 0, c = pixel, cminusone = c-1:
  oldz = z
  nm = 3 * c-2 * z * cminusone
  dn = 3 * (3 * z * z + cminusone)
  z = nm/dn + 2 * z/3
  |(z-oldz)|>=|0.01|
  ;SOURCE: mnewton.frm
}
Roger Alexander