Re: [Fractint] Re: quaternion product correction (Lee Skinner)

26 Nov 2005

      Russell,

I can't improve your grey map of the mantaray.  Indeed most mantas I've 
seen are grey.  I was merely remarking how unexpectedly realistic it looked.

However, it has been a while since I posted some pars, so here are a few 
(17).  Most of these will take some time to generate, but they are 
probably worth it.  Nothing 3-D, though.

6bifr008           { ;
                      ; t=  0:33:39.40 on a P4 2Gh at
                      ; 1600x1200  Image Copyright 2005
                      ; by Lee H. Skinner ver=2004
                      ;  Fractint Version 2004 Patchlevel 2
   reset=2004 type=formula formulafile=fractint.frm
   formulaname=triternions passes=1
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   -012 params=0/0 float=y maxiter=1500 inside=fmod
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   }

60529013           { ;
                      ; t=  0:12:47.59 on a P4 2Gh at
                      ; 1600x1200  Image Copyright 2005
                      ; by Lee H. Skinner ver=2004
                      ;  Fractint Version 2004 Patchlevel 2
   reset=2004 type=formula formulafile=fractint.frm
   formulaname=mandelbrotmix4 function=recip
   passes=1
   center-mag=-28.44386721751718000/-11.7012260054645100\
   0/6.082476e+011/0.9998/-69.9574025021650385/0.0859563\
   195570046401
   params=-5.46/-1.5/-2.67/-4.5/0/200000000000000
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   symmetry=none periodicity=10 mathtolerance=0.05/1
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...
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   }
60529028           { ;
                      ; t=  0:31:27.74 on a P4 2Gh at
                      ; 1600x1200  Image Copyright 2005
                      ; by Lee H. Skinner ver=2004
                      ;  Fractint Version 2004 Patchlevel 2
   reset=2004 type=formula formulafile=fractint.frm
   formulaname=mandelbrotmix4 function=recip
   passes=1
   center-mag=+2.10116077598502700/+0.00716579102704501/\
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   8932
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   }

60706012           { ;
                      ; t=  0:19:12.34 on a P4 2Gh at
                      ; 1600x1200  Image Copyright 2005
                      ; by Lee H. Skinner ver=2004
                      ;  Fractint Version 2004 Patchlevel 2
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60706018           { ;
                      ; t=  0:25:07.49 on a P4 2Gh at
                      ; 1600x1200  Image Copyright 2005
                      ; by Lee H. Skinner ver=2004
                      ;  Fractint Version 2004 Patchlevel 2
   reset=2004 type=formula formulafile=fractint.frm
   formulaname=mandelbrotmix4 function=recip
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   }
60820020           { ;
                      ; t=  2:44:36.00 on a P4 2Gh at
                      ; 1600x1200  Image Copyright 2005
                      ; by Lee H. Skinner ver=2004
                      ;  Fractint Version 2004 Patchlevel 2
   reset=2004 type=formula formulafile=fractint.frm
   formulaname=mandelbrotmix4 function=recip
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                      ; t=  0:10:58.51 on a P4 2Gh at
                      ; 1600x1200  Image Copyright 2005
                      ; by Lee H. Skinner ver=2004
                      ;  Fractint Version 2004 Patchlevel 2
   reset=2004 type=formula formulafile=fractint.frm
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                      ; t=  0:24:17.77 on a P4 2Gh at
                      ; 1600x1200  Image Copyright 2005
                      ; by Lee H. Skinner ver=2004
                      ;  Fractint Version 2004 Patchlevel 2
   reset=2004 type=formula formulafile=fractint.frm
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                      ; t=  0:45:25.18 on a P4 2Gh at
                      ; 1600x1200  Image Copyright 2005
                      ; by Lee H. Skinner ver=2004
                      ;  Fractint Version 2004 Patchlevel 2
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61102014           { ;
                      ; t=  0:50:22.93 on a P4 2Gh at
                      ; 1600x1200  Image Copyright 2005
                      ; by Lee H. Skinner ver=2004
                      ;  Fractint Version 2004 Patchlevel 2
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                      ; t=  0:15:33.02 on a P4 2Gh at
                      ; 1600x1200  Image Copyright 2005
                      ; by Lee H. Skinner ver=2004
                      ;  Fractint Version 2004 Patchlevel 2
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                      ; 1600x1200  Image Copyright 2005
                      ; by Lee H. Skinner ver=2004
                      ;  Fractint Version 2004 Patchlevel 2
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   iODjQFkUEmYD
   }
61021004           { ;
                      ; t= 16:09:41.12 on a P4 2Gh at
                      ; 1600x1200  Image Copyright 2005
                      ; by Lee H. Skinner ver=2004
                      ;  Fractint Version 2004 Patchlevel 2
   reset=2004 type=hypercomplexj function=sqr
   passes=1
   center-mag=-0.05840134193921374/+0.31585408525887120/\
   921.5495/1/132.500000000000085/-4.57613114068777804e-\
   013
   params=-0.2218959949992792/-0.03077554360265753/0/0.5\
   3/0.25/0 float=y maxiter=27000 bailout=9
   logmap=543 symmetry=none periodicity=0
   cyclerange=2/255
   colors=000uxxzL5zI5zE6wE6tD6<10>w8Px8Rx7S<3>z5_<3>f5M\
   a5IW4E<2>_4H<3>P3DN2CK2A<3>805G0BO0G<3>g0Ul0Xq0`v0d<2\
...
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   L8CI<4>XCAaB9fB7<3>zA0<13>SA1QA1NA1<3>D92<6>UXAW`BYcC\
   <3>hrI<3>UnXRm_NlcJkgFfpAaz<3>PJoSFlWAi_5fc0ce7_<3>zb\
   0<2>zz1zzC<2>zzz<3>jqdfo_blU<3>Mb8<3>LQ8KM8KJ8<2>I88H\
   44G00<3>TA5WD6ZF7aI8eLAhMBiODjQF<3>qeBriAtm9vq8xu7zz5\
   zz4zz3<11>zO5
   }
61021005           { ;
                      ; t= 14:13:41.41 on a P4 2Gh at
                      ; 1600x1200  Image Copyright 2005
                      ; by Lee H. Skinner ver=2004
                      ;  Fractint Version 2004 Patchlevel 2
   reset=2004 type=hypercomplexj function=sqr
   passes=1
   center-mag=-0.05693005969933265/+0.31216212725747150/\
   6845.796/1/-42.4999999999932214/-1.10806641639982217e\
   -011
   params=-0.2218959949992792/-0.03077554360265753/0/0.5\
   3/0.25/0 float=y maxiter=27000 bailout=9
   logmap=363 symmetry=none periodicity=0
   cyclerange=2/255
   colors=000uxxBdb<3>JblLanNaqP`sS_v<3>civflvinvlqvotvs\
   wwwyyzzz<3>rwzovzhsw<3>Gch8_d8Xa<3>8JP8FL8CI<4>XCAaB9\
   fB7<3>zA0<13>SA1QA1NA1<3>D92<6>UXAW`BYcC<3>hrI<3>UnXR\
   m_NlcJkgFfpAaz<3>PJoSFlWAi_5fc0ce7_<3>zb0<2>zz1zzC<2>\
   zzz<3>jqdfo_blU<3>Mb8<3>LQ8KM8KJ8<2>I88H44G00<3>TA5WD\
   6ZF7aI8eLAhMBiODjQF<3>qeBriAtm9vq8xu7zz5zz4zz3<8>zY4z\
   V5zS5<3>zE6wE6tD6<10>w8Px8Rx7S<3>z5_<3>f5Ma5IW4E<2>_4\
   H<3>P3DN2CK2A<3>805G0BO0G<3>g0Ul0Xq0`v0d<2>y0fz0gy0h<\
   3>u1mt1ns1or2q<2>v2u<3>c5eZ6`U6X<2>F9LAAG7FO4KW0Qc<4>\
   6Zc7`c7aa7c_7eY9e_
   }

61021006           { ;
                      ; t= 24:43:05.10 on a P4 2Gh at
                      ; 1600x1200  Image Copyright 2005
                      ; by Lee H. Skinner ver=2004
                      ;  Fractint Version 2004 Patchlevel 2
   reset=2004 type=hypercomplexj function=sqr
   passes=1
   center-mag=-0.05696374763543814/+0.31220487676264160/\
   68457.96/1/-170.000000000013443/1.3982107138765798e-0\
   11
   params=-0.2218959949992792/-0.03077554360265753/0/0.5\
   3/0.25/0 float=y maxiter=27000 bailout=9
   logmap=434 symmetry=none periodicity=0
   cyclerange=2/255
   colors=000uxxxzz<3>ovz<3>NglGch8_d<3>8MS8JP8FL8CI<4>X\
   CAaB9fB7<3>zA0<13>SA1QA1NA1<3>D92<6>UXAW`BYcC<3>hrI<3\
...
UnXRm_NlcJkgFfpAaz<3>PJoSFlWAi_5fc0ce7_<3>zb0<2>zz1z\
   zC<2>zzz<3>jqdfo_blU<3>Mb8<3>LQ8KM8KJ8<2>I88H44G00<3>\
   TA5WD6ZF7aI8eLAhMBiODjQF<3>qeBriAtm9vq8xu7zz5zz4zz3<8\
zY4zV5zS5<3>zE6wE6tD6<10>w8Px8Rx7S<3>z5_<3>f5Ma5IW4E\
   <2>_4H<3>P3DN2CK2A<3>805G0BO0G<3>g0Ul0Xq0`v0d<2>y0fz0\
   gy0h<3>u1mt1ns1or2q<2>v2u<3>c5eZ6`U6X<2>F9LAAG7FO4KW0\
   Qc<3>5Xc6Zc7`c7aa7c_7eY<3>FcgHciJbl<3>S_v<3>civflvinv\
   lqvotvswwwyyzzz
   }
61021013           { ;
                      ; t= 15:12:42.98 on a P4 2Gh at
                      ; 1600x1200  Image Copyright 2005
                      ; by Lee H. Skinner ver=2004
                      ;  Fractint Version 2004 Patchlevel 2
   reset=2004 type=hypercomplexj function=sqr
   passes=1
   center-mag=-0.05690141415084597/+0.31224137638883590/\
   54093.01/1/-45.0000000000057057/1.3307827062547517e-0\
   11
   params=-0.2218959949992792/-0.03077554360265753/0/0.5\
   3/0.25/0 float=y maxiter=27000 bailout=9
   logmap=436 symmetry=none periodicity=0
   cyclerange=2/255
   colors=000uxxBdb<3>JblLanNaqP`sS_v<3>civflvinvlqvotvs\
   wwwyyzzz<3>rwzovzhsw<3>Gch8_d8Xa<3>8JP8FL8CI<4>XCAaB9\
   fB7<3>zA0<13>SA1QA1NA1<3>D92<6>UXAW`BYcC<3>hrI<3>UnXR\
   m_NlcJkgFfpAaz<3>PJoSFlWAi_5fc0ce7_<3>zb0<2>zz1zzC<2>\
   zzz<3>jqdfo_blU<3>Mb8<3>LQ8KM8KJ8<2>I88H44G00<3>TA5WD\
   6ZF7aI8eLAhMBiODjQF<3>qeBriAtm9vq8xu7zz5zz4zz3<8>zY4z\
   V5zS5<3>zE6wE6tD6<10>w8Px8Rx7S<3>z5_<3>f5Ma5IW4E<2>_4\
   H<3>P3DN2CK2A<3>805G0BO0G<3>g0Ul0Xq0`v0d<2>y0fz0gy0h<\
   3>u1mt1ns1or2q<2>v2u<3>c5eZ6`U6X<2>F9LAAG7FO4KW0Qc<4>\
   6Zc7`c7aa7c_7eY9e_
   }

frm:MandelbrotMix4 {; Jim Muth
a=real(p1), b=imag(p1), d=real(p2), f=imag(p2),
g=1/f, h=1/d, j=1/(f-b), z=(-a*b*g*h)^j,
k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel):
z=k*((a*(z^b))+(d*(z^f)))+c,
|z| < l }

frm:Triternions{
c1=real(pixel), c2=imag(pixel), c3=p1
x=y=v=0:
     a = x*x+2*y*v
     b = v*v+2*x*y
     c = y*y+2*x*v
     x=a+c1, y=b+c2, v=c+c3
     z=x*x+y*y+v*v
z < 1000 }

Lee