I was busy yesterday and didn't get around to posting. Here it is a rootin' tootin converging newton.
Take Fractint's built in newton formula add some inversion,mix with some fmod and
you get today's fractal. As usual ready made at http://maxitersfractalfollies.blogspot.com.

fract228.gif       { ; classical newton with fmod and inversion
                     ; blank
                     ; calctime   0:02:13.85
                     ; created May 24, 2010
                     ;  Fractint Version 2004 Patchlevel 9
  reset=2004 type=newton center-mag=42.2891/-231.357/0.007044422/-1
  params=3 float=y maxiter=1200 inside=maxiter proximity=1
  outside=fmod
  invert=23.3678395947142/-0.6718039490951/0.30027161473433
  colors=05F05F05F16G16G16G16G16G27H27H27H27H27H38I38I38I38I38I49J49J49J49\
  J49J5AK5AK5AK5AK5AK6BL6BL6BL6BL7CM7CM7CM7CM7CM8DN8DN8DN8DN8DN9EO9EO9EO9E\
  O9EOAFPAFPAFPAFPAFPBGQBGQBGQBGQBGQCHRCHRCHRCHRCHRDISDISDISDISDISEISEJTFJ\
  TFKTGKUGLUHLVHMVIMVINWJNWJOWKOXKPXLPYLQYMQYMRZNRZNSZOS_OT_PT_PT`QU`QUaRV\
  aRVaSWbSWbTXbTXcUYcUYcVZdVZdW_eW_eX`eX`fYafYafZbgZbg_ch_ch`ch`diadiaeibe\
  jbfjcfjcgkdgkdhlehleilfimfjmgjmgknhknhlniloimojmpjmpknpknqloqloqmprmprnq\
  snqsorsortpstpstqtuqturuuruvsvvsvwtwwtwwuxxuxxuxxvyyvyywzzvyyvyyuxxtxxtw\
  wsvwsvvruvquuqtupstostorsnqsnqrmprlpqloqknpjnpjmoimohlnhkngkmgjmfjleileh\
  kdhkcgjcfjbfibeiaeh`dh`cg_cgZbfZbfYaeX`eX`dW_dW_cVZcUYbUYbTXaSWaSW`RV`RV\
  _QU_PTZPTZOSYNSYNRXMQXLQWLPWKPVKOVJNUINUIMTHLTGLSGKSFKRFJREIQDIQDHPCHPBG\
  OBFOAFN9EN9EM8DM8CL7CL6BK6AK5AJ49J49I38I37H27H16G16G05F
  }
Roger Alexander

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