[Fractint] Rough Explorations of rectangle parameters

21 Sep 2006


      I zoomed out a bit from Jim Muth's Projective Plane image of Jan. 1, 
1998, and did a sequence of 7 images (parameters from 80/80/ to 92/92), 
with different colors:

6CARPT80           { ;
                    ; t=  0:19:07.43 on a P4 2Gh at
                    ; 1600x1200  Image Copyright 2006
                    ; by Lee H. Skinner ver=2004
                    ;  Fractint Version 2004 Patchlevel 4
 reset=1960 type=formula formulafile=fractint.frm
 formulaname=multi20031
 function=flip/ident/ident/flip passes=1
 center-mag=-0.00329066420895892/-0.00013311712830545/\
 277.0445/1/25.0000000000000426/-5.05012698326368081e-\
 014 params=80/80/0.00022/0.0755/-1.74308/0
 float=y maxiter=1800 bailout=25 inside=253
 logmap=yes symmetry=none periodicity=10
 colors=0000Qc<3>5Xc6Zc7`c7aa7c_7eY<3>FcgHciJbl<3>S_v<\
 3>civflvinvlqvotvsww<2>zzz<3>rwzovzhsw<3>Gch8_d8Xa<3>\
 8JP8FL8CI<4>XCAaB9fB7<3>zA0<13>SA1QA1NA1<3>D92<6>UXAW\
 `BYcC<3>hrI<3>UnXRm_NlcJkgFfpAaz<3>PJoSFlWAi_5fc0ce7_\
 <3>zb0<2>zz1zzC<2>zzz<3>jqdfo_blU<3>Mb8<3>LQ8KM8KJ8<2\
...
I88H44G00<3>TA5WD6ZF7aI8eLAhMBiODjQF<3>qeBriAtm9vq8x\
 u7zz5zz4zz3<8>zY4zV5zS5<3>zE6wE6tD6<10>w8Px8Rx7S<3>z5\
 _<3>f5Ma5IW4E<2>_4H<3>P3DN2CK2A<3>805G0BO0G<3>g0Ul0Xq\
 0`v0d<2>y0fz0gy0h<3>u1mt1ns1or2q<2>v2u<3>c5eZ6`U6X<2>\
 F9LAAG7FO4KW
 }
6CARPT82           { ;
                    ; t=  0:15:05.34 on a P4 2Gh at
                    ; 1600x1200  Image Copyright 2006
                    ; by Lee H. Skinner ver=2004
                    ;  Fractint Version 2004 Patchlevel 4
 reset=1960 type=formula formulafile=fractint.frm
 formulaname=multi20031
 function=flip/ident/ident/flip passes=1
 center-mag=-0.00329066420895892/-0.00013311712830545/\
 277.0445/1/25.0000000000000426/-5.05012698326368081e-\
 014 params=82/82/0.00022/0.0755/-1.74308/0
 float=y maxiter=1800 bailout=25 inside=253
 logmap=yes symmetry=none periodicity=10
 colors=0000Qc<3>5Xc6Zc7`c7aa7c_7eY<3>FcgHciJbl<3>S_v<\
 3>civflvinvlqvotvsww<2>zzz<3>rwzovzhsw<3>Gch8_d8Xa<3>\
 8JP8FL8CI<4>XCAaB9fB7<3>zA0<13>SA1QA1NA1<3>D92<6>UXAW\
 `BYcC<3>hrI<3>UnXRm_NlcJkgFfpAaz<3>PJoSFlWAi_5fc0ce7_\
 <3>zb0<2>zz1zzC<2>zzz<3>jqdfo_blU<3>Mb8<3>LQ8KM8KJ8<2\
...
I88H44G00<3>TA5WD6ZF7aI8eLAhMBiODjQF<3>qeBriAtm9vq8x\
 u7zz5zz4zz3<8>zY4zV5zS5<3>zE6wE6tD6<10>w8Px8Rx7S<3>z5\
 _<3>f5Ma5IW4E<2>_4H<3>P3DN2CK2A<3>805G0BO0G<3>g0Ul0Xq\
 0`v0d<2>y0fz0gy0h<3>u1mt1ns1or2q<2>v2u<3>c5eZ6`U6X<2>\
 F9LAAG7FO4KW
 }
6CARPT84           { ;
                    ; t=  0:13:34.87 on a P4 2Gh at
                    ; 1600x1200  Image Copyright 2006
                    ; by Lee H. Skinner ver=2004
                    ;  Fractint Version 2004 Patchlevel 4
 reset=1960 type=formula formulafile=fractint.frm
 formulaname=multi20031
 function=flip/ident/ident/flip passes=1
 center-mag=-0.00329066420895892/-0.00013311712830545/\
 277.0445/1/25.0000000000000426/-5.05012698326368081e-\
 014 params=84/84/0.00022/0.0755/-1.74308/0
 float=y maxiter=1800 bailout=25 inside=253
 logmap=yes symmetry=none periodicity=10
 colors=0000Qc<3>5Xc6Zc7`c7aa7c_7eY<3>FcgHciJbl<3>S_v<\
 3>civflvinvlqvotvsww<2>zzz<3>rwzovzhsw<3>Gch8_d8Xa<3>\
 8JP8FL8CI<4>XCAaB9fB7<3>zA0<13>SA1QA1NA1<3>D92<6>UXAW\
 `BYcC<3>hrI<3>UnXRm_NlcJkgFfpAaz<3>PJoSFlWAi_5fc0ce7_\
 <3>zb0<2>zz1zzC<2>zzz<3>jqdfo_blU<3>Mb8<3>LQ8KM8KJ8<2\
...
I88H44G00<3>TA5WD6ZF7aI8eLAhMBiODjQF<3>qeBriAtm9vq8x\
 u7zz5zz4zz3<8>zY4zV5zS5<3>zE6wE6tD6<10>w8Px8Rx7S<3>z5\
 _<3>f5Ma5IW4E<2>_4H<3>P3DN2CK2A<3>805G0BO0G<3>g0Ul0Xq\
 0`v0d<2>y0fz0gy0h<3>u1mt1ns1or2q<2>v2u<3>c5eZ6`U6X<2>\
 F9LAAG7FO4KW
 }
6CARPT86           { ; Flying Carpet
                    ; t=  0:06:36.07 on a P4 2Gh at
                    ; 1600x1200  Image Copyright 2006
                    ; by Lee H. Skinner ver=2004
                    ;  Fractint Version 2004 Patchlevel 4
 reset=1960 type=formula formulafile=fractint.frm
 formulaname=multi20031
 function=flip/ident/ident/flip passes=1
 center-mag=-0.00329066420895892/-0.00013311712830545/\
 277.0445/1/25.0000000000000426/-5.05012698326368081e-\
 014 params=86/86/0.00022/0.0755/-1.74308/0
 float=y maxiter=1800 bailout=25 inside=253
 logmap=yes symmetry=none periodicity=10
 colors=0000Qc<3>5Xc6Zc7`c7aa7c_7eY<3>FcgHciJbl<3>S_v<\
 3>civflvinvlqvotvsww<2>zzz<3>rwzovzhsw<3>Gch8_d8Xa<3>\
 8JP8FL8CI<4>XCAaB9fB7<3>zA0<13>SA1QA1NA1<3>D92<6>UXAW\
 `BYcC<3>hrI<3>UnXRm_NlcJkgFfpAaz<3>PJoSFlWAi_5fc0ce7_\
 <3>zb0<2>zz1zzC<2>zzz<3>jqdfo_blU<3>Mb8<3>LQ8KM8KJ8<2\
...
I88H44G00<3>TA5WD6ZF7aI8eLAhMBiODjQF<3>qeBriAtm9vq8x\
 u7zz5zz4zz3<8>zY4zV5zS5<3>zE6wE6tD6<10>w8Px8Rx7S<3>z5\
 _<3>f5Ma5IW4E<2>_4H<3>P3DN2CK2A<3>805G0BO0G<3>g0Ul0Xq\
 0`v0d<2>y0fz0gy0h<3>u1mt1ns1or2q<2>v2u<3>c5eZ6`U6X<2>\
 F9LAAG7FO4KW
 }
6CARPT88           { ;
                    ; t=  0:04:38.97 on a P4 2Gh at
                    ; 1600x1200  Image Copyright 2006
                    ; by Lee H. Skinner ver=2004
                    ;  Fractint Version 2004 Patchlevel 4
 reset=1960 type=formula formulafile=fractint.frm
 formulaname=multi20031
 function=flip/ident/ident/flip passes=1
 center-mag=-0.00329066420895892/-0.00013311712830545/\
 277.0445/1/25.0000000000000426/-5.05012698326368081e-\
 014 params=88/88/0.00022/0.0755/-1.74308/0
 float=y maxiter=1800 bailout=25 inside=253
 logmap=yes symmetry=none periodicity=10
 colors=0000Qc<3>5Xc6Zc7`c7aa7c_7eY<3>FcgHciJbl<3>S_v<\
 3>civflvinvlqvotvsww<2>zzz<3>rwzovzhsw<3>Gch8_d8Xa<3>\
 8JP8FL8CI<4>XCAaB9fB7<3>zA0<13>SA1QA1NA1<3>D92<6>UXAW\
 `BYcC<3>hrI<3>UnXRm_NlcJkgFfpAaz<3>PJoSFlWAi_5fc0ce7_\
 <3>zb0<2>zz1zzC<2>zzz<3>jqdfo_blU<3>Mb8<3>LQ8KM8KJ8<2\
...
I88H44G00<3>TA5WD6ZF7aI8eLAhMBiODjQF<3>qeBriAtm9vq8x\
 u7zz5zz4zz3<8>zY4zV5zS5<3>zE6wE6tD6<10>w8Px8Rx7S<3>z5\
 _<3>f5Ma5IW4E<2>_4H<3>P3DN2CK2A<3>805G0BO0G<3>g0Ul0Xq\
 0`v0d<2>y0fz0gy0h<3>u1mt1ns1or2q<2>v2u<3>c5eZ6`U6X<2>\
 F9LAAG7FO4KW
 }
6CARPT90           { ;
                    ; t=  0:06:21.23 on a P4 2Gh at
                    ; 1600x1200  Image Copyright 2006
                    ; by Lee H. Skinner ver=2004
                    ;  Fractint Version 2004 Patchlevel 4
 reset=1960 type=formula formulafile=fractint.frm
 formulaname=multi20031
 function=flip/ident/ident/flip passes=1
 center-mag=-0.00329066420895892/-0.00013311712830545/\
 277.0445/1/25.0000000000000426/-5.05012698326368081e-\
 014 params=90/90/0.00022/0.0755/-1.74308/0
 float=y maxiter=1800 bailout=25 inside=253
 logmap=yes symmetry=none periodicity=10
 colors=0000Qc<3>5Xc6Zc7`c7aa7c_7eY<3>FcgHciJbl<3>S_v<\
 3>civflvinvlqvotvsww<2>zzz<3>rwzovzhsw<3>Gch8_d8Xa<3>\
 8JP8FL8CI<4>XCAaB9fB7<3>zA0<13>SA1QA1NA1<3>D92<6>UXAW\
 `BYcC<3>hrI<3>UnXRm_NlcJkgFfpAaz<3>PJoSFlWAi_5fc0ce7_\
 <3>zb0<2>zz1zzC<2>zzz<3>jqdfo_blU<3>Mb8<3>LQ8KM8KJ8<2\
...
I88H44G00<3>TA5WD6ZF7aI8eLAhMBiODjQF<3>qeBriAtm9vq8x\
 u7zz5zz4zz3<8>zY4zV5zS5<3>zE6wE6tD6<10>w8Px8Rx7S<3>z5\
 _<3>f5Ma5IW4E<2>_4H<3>P3DN2CK2A<3>805G0BO0G<3>g0Ul0Xq\
 0`v0d<2>y0fz0gy0h<3>u1mt1ns1or2q<2>v2u<3>c5eZ6`U6X<2>\
 F9LAAG7FO4KW
 }
6CARPT92           { ;
                    ; t=  0:04:00.90 on a P4 2Gh at
                    ; 1600x1200  Image Copyright 2006
                    ; by Lee H. Skinner ver=2004
                    ;  Fractint Version 2004 Patchlevel 4
 reset=1960 type=formula formulafile=fractint.frm
 formulaname=multi20031
 function=flip/ident/ident/flip passes=1
 center-mag=-0.00329066420895892/-0.00013311712830545/\
 277.0445/1/25.0000000000000426/-5.05012698326368081e-\
 014 params=92/92/0.00022/0.0755/-1.74308/0
 float=y maxiter=1800 bailout=25 inside=253
 logmap=yes symmetry=none periodicity=10
 colors=0000Qc<3>5Xc6Zc7`c7aa7c_7eY<3>FcgHciJbl<3>S_v<\
 3>civflvinvlqvotvsww<2>zzz<3>rwzovzhsw<3>Gch8_d8Xa<3>\
 8JP8FL8CI<4>XCAaB9fB7<3>zA0<13>SA1QA1NA1<3>D92<6>UXAW\
 `BYcC<3>hrI<3>UnXRm_NlcJkgFfpAaz<3>PJoSFlWAi_5fc0ce7_\
 <3>zb0<2>zz1zzC<2>zzz<3>jqdfo_blU<3>Mb8<3>LQ8KM8KJ8<2\
...
I88H44G00<3>TA5WD6ZF7aI8eLAhMBiODjQF<3>qeBriAtm9vq8x\
 u7zz5zz4zz3<8>zY4zV5zS5<3>zE6wE6tD6<10>w8Px8Rx7S<3>z5\
 _<3>f5Ma5IW4E<2>_4H<3>P3DN2CK2A<3>805G0BO0G<3>g0Ul0Xq\
 0`v0d<2>y0fz0gy0h<3>u1mt1ns1or2q<2>v2u<3>c5eZ6`U6X<2>\
 F9LAAG7FO4KW
 }
frm:multi20031 {; Jim Muth, best=ifif, fiif, fifi, iffi
a=real(p1)*.01745329251994, b=imag(p1)*.01745329251994,
z=sin(b)*fn1(real(pixel))+sin(a)*fn2(imag(pixel))+p2,
c=cos(b)*fn3(real(pixel))+cos(a)*fn4(imag(pixel))+p3:
z=z2.003+c,
|z| <= 100 }