Newtons are fractals too.This one is symmetrical but not visually monotonous with the distinguishing
thread-like structure  of the newton.
       Go to http://maxitersfractalfollies.blogspot.com to see the eager to be downloaded gif.

ract213.gif       { ; newts
                     ; blank
                     ; calctime   0:01:37.27
                     ; created May 19, 2010
                     ;  Fractint Version 2004 Patchlevel 9
  reset=2004 type=formula formulafile=crazynwt.frm
  formulaname=Nwtfn12rot function=sqr/asin
  center-mag=-8.88178e-016/0.0801336/1.253133
  params=6.072603534043397/-0.08343760490737633/2.8676412244026/1.08444471\
  5720084 float=y maxiter=1500 inside=0
  colors=00000000100300400600800900B00C00E00G00H00J00K00M00O00P00R00T00U00\
  W00X00Z00`00a00c00d00f00h00i00k00m01m03m04n06n07o09o0Ao0Cp0Ep0Fq0Hq0Iq0K\
  r0Lr0Ns0Ps0Qs0St0Tt0Vu0Wu0Yu0Zv0`v0bw0cw0ew0fx0hx0iy0ky0mz1mz3mz5nz7nz9o\
  zBozDozFpzHpzJqzLqzNqzPrzRrzTszVszXszZtz`tzbuzduzfuzhvzjvzlwznwzpwzrxztx\
  zvyzxyzzzzyzzxzzwzzuzztzzszzqzzpzzozzmzzlzzkzzizzhzzgzzezzdzzczzbzz`zz_z\
  zZzzXzzWzzVzzTzzSzzRzzPzzOzzNzzLzzKzzJzzIzzGzzFzzEzzCzzBzzAzz8zz7zz6zz4z\
  z3zz2zz0zz0yz0xz0wz0uz0tz0sz0qz0pz0oz0mz0lz0kz0iz0hz0gz0ez0dz0cz0bz0`z0_\
  z0Zz0Xz0Wz0Vz0Tz0Sz0Rz0Pz0Oz0Nz0Lz0Kz0Jz0Iz0Gz0Fz0Ez0Cz0Bz0Az08z07z06z04\
  z03z02z00z00y00x00w00v00u00t00s00r00q00p00o00n00m00l00k00j00i00h00g00f00\
  e00d00c00b00a00`00_00Z00Y00X00W00V00U00T00S00R00Q00P00O00N00M00L00K00J00\
  I00H00G00F00E00D00C00B00A009008007006005004003002000000
  }
frm:Nwtfn12rot { ;The factor exp(p1*...) rotates the pixels
  ;according to their distance from the origin if p1 is
  ;chosen complex.
  z = pixel+1/fn1(p2*pixel*exp(p1*fn2(|pixel|))) , Root = 1 :
  z = (4 * z^5 + Root) / (5 * z^4);
    .001 <= |z^5 - Root|
  }
Roger Alexander

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