April 2004 - Fractint - mailman.xmission.com

Tesseral Just For Show and other public misinformation.
by SherLok Merfy 06 Apr '04

06 Apr '04

Typo { ; z(n)=fn1(z(n+1))*fn2(z(n+1)) ; That might be more accurate than documentation ; that refers to neither zed nor the pixel. reset=2003 type=fn*fn function=ident/ident float=y bailout=4 inside=0 periodicity=0 } MegaCrab { ; If Tesseral were just for show, then the ; spines wouldn't be broken with solid guessing. ; 1:28.6/megapixel@350Mhz. colors=(a)preemoh.map ; z=(.72,.72)*z*z+(.72,.72)*z reset=2003 type=fn+fn function=sqr/ident passes=t center-mag=-0.5/0/0.2509/1.8129/-8/-7 params=0.72/0.72/0.72/0.72 float=y maxiter=255 bailout=4 inside=0 invert=0.77857365306758/-0.5/0 periodicity=0 colors=000z00zz00z00zV0zz0Wz00z<3>z0zz0Wz00<3>zz0Wz00z0<3>0zz<3>0Lz0Bz\ 00zV0zz0z<3>z0Lz0Bz00<3>zz0Wz00z0<3>0zz<3>0Lz0Bz00z<3>e0zo0zz0zz0Wz00<\ 3>ze0zo0zz0<3>0z00zV0zz<3>0Lz0Bz00z<3>z0z<3>z0Lz0Bz00<3>zV0zb0zj0zr0zz\ 0<3>0z00zV0zz<3>00zV0zz0z<3>z00<7>z_0zc0zh0<3>zz0<3>0z0<3>0ze0zo0zz0Wz\ 00z<3>P0zV0z`0z<3>z0zz0Wz00<3>ze0zo0zz0<3>Lz0Bz00z0<3>0zz<3>0Lz0Bz00z<\ 3>e0zo0zz0zz0Wz00<3>zP0zV0z`0<3>zz0Wz00z0<3>0zz0Wz00z<5>V0z_0ze0z<3>z0\ z<5>z0Wz0Rz0L<3>z00<3>zz0Wz00z0<3>0zz<3>0Lz0Bz00zV0zz0z<3>z0az0Wz0Q<3>\ z00<3>zzz }

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Re: FOTD 04-04-04 (Star of the Ages [7])
by Jim Muth 06 Apr '04

06 Apr '04

On Sun, 4 Apr 2004, I wrote: >> A formula as simple as Z^2+Z+C will merely >> shift the M-set around, while leaving it >> otherwise unchanged. SherLok Merfy replied: >That puts ears on your traditional snowman, >and his feet melt. <snipped> The ears and melting feet are what happens when Z is initialized to zero. To see the little fellow moved around while remaining otherwise unchanged, set the starting point of Z to -0.5 which is the critical point of the formula Z^2+Z. The MandelbrotMix4 formula automatically initializes Z to a critical point of the formula being calculated. Jim M.

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Re: More Mandelbrot sets???
by Raymond Filiatreault 05 Apr '04

05 Apr '04

I did mention that the two formulas were FUNDAMENTALLY different. One uses the ACOS function of "z" while the other uses the ACOSH function of "z". With real numbers, the acos function could only take arguments which have an absolute value less than or equal to 1.0, and produce results between 0 and 2PI. Similarly with real numbers, the acosh function could only take arguments which are positive and greater than or equal to 1.0, and produce results between +INFINITY and -INFINITY. However, raising either of these functions of "z" (a complex number) to the 4th power and adding "c" have been producing the identical fractal, which also happens to be a quarter replica of the M-set. I wonder if some genius mathematician could make sense of this unexpected behaviour with complex numbers. I got the same results with Fractint using the following formula and testing with the acos and acosh functions: rayfil { c = z = pixel: z = fn1(z) z = z*z z = z*z + c |z| < 4 } Raymond _________________________________________________________________ Add photos to your messages with MSN Premium. Get 2 months FREE* http://join.msn.com/?pgmarket=en-ca&page=byoa/prem&xAPID=1994&DI=1034&SU=ht…

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FOTD 05-04-04 (A Fool's Gold [6])
by Jim Muth 05 Apr '04

05 Apr '04

FOTD -- April 05, 2004 (Rating 6) Fractal visionaries and enthusiasts: I'm a bit busy today, so today's discussion will be short. The image is an evaporated scene in the fractal that results when 2 parts of Z^(-7.6) is combined with 4 parts of Z^(-1.4) before (1/C) is added. The scene has been evaporated by raising the escape radius so high that all the points are trapped. The trapped points have been brought to life by rendering them with the inside=bof61 option. I have added 1/C instead of C because fractals with negative exponents of Z are inside out, and 1/C turns fractals inside out again. The parent fractal is quite rich. I might do a bit more exploring in it before moving on. Because of its rich golden yellow, today's image has been named "A Fool's Gold". (That's what they called iron pyrite in the old west.) The rating of a 6 is raised to an overall value of 232 by the short render time of 2-1/2 minutes. As always, the finished GIF image has been posted to the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> High winds, clouds and a temperature of 43F 6C kept the cats indoors on Sunday. Cheered by an extra dollop of tuna, they took their confinement stoically. Today is starting sunny, but the wind is still high. We'll see how things go for the dynamic duo. For me, it's back to work. When the work is finished, the fractal fun will begin. How can I keep up my enthusiasm for fractals? I don't know. But one thing for near certain is that the next FOTD fractal will appear in 24 hours. Until then, take care, but when you do so, don't make life boring. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START 20.0 PAR-FORMULA FILE================================ A_Fools_Gold { ; time=0:02:35.60--SF5 on a P200 reset=2003 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=recip passes=1 center-mag=+1.85808245798638/+1.665377798426092/\ 1.383526e+011/1/-77.5/4.76209247881331788e-005 params=4/-1.4/2/-7.6/0/1e+100 float=y maxiter=350 inside=bof61 logmap=38 periodicity=10 colors=000PHKPIKSJPVHUYGW_EabDbeBcgAdjJYmRSp_LsgFv\ p8xx2tZ1pA0mB3kC6iC8fDBdDEbEG_EJYFMWFOTGRRGUPHWMHZ\ KIaIIcHKdGMeFOhEQmDSrCUwBWzNYzR_zUazRdzzgzTjzXmzaU\ zeJXjHTnGQsEMwDJqIPkMVeR`_VfU_lOmzIwzHwzHwzHwzHwzH\ nhHoezpbKn`NlZQjXThVWfTZdRabPd`NfZLeXOdWRdVUcUXbTZ\ bSaaRd`Qg`PibSfdUcfW`hZYj`VkbSrdPygMziJzkGzmDzjCzg\ CzdCzaCzZCzWCzTCzQCzNCzKCyHCwECuBCr8Cp5Co2CcCKdLSe\ U_fVagVbhVciWejWfkWglWimXjnXkoXmpXnqYorYqsYrtYsu3y\ v7uwAqxEmyHizLezOazRbzTbzVczXczZczadzcdzedzgeziezl\ fznfzpfzrgztgzvgzoizhkzbmzWozPqzJrzNqzQpzTozWnzZnz\ bmzelzhkzkjznjzlizjhzhhzggzegzcfzaez`ezZdzXdzVczUc\ zXJzTIzQHzMGzJFzFEzCDz9DzHAzP8zX6zd4z`5zY5zV5zR5zO\ 6zL6zH6zE6zB7z77z47z17z4Bz7EzAIzDLzGOzJSzMVzPZzSaz\ VdzYhz`kzbnz`lzZjzYhzWfzVdzTbzR`zQZzOXzNVzLTzJRzIP\ zGNzFLzHRzJXzLbzNhzPnzRtzSzzXtz`ozdjzidzm_zqVzuQzi\ VzZZzNczCgzDhzEizFjzFkzGl } 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 } END 20.0 PAR-FORMULA FILE==================================

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Re: [Fractint] Re: More Mandelbrot sets???
by Russell Walsmith 05 Apr '04

05 Apr '04

Opps, belay that last message... z = z^m z = z^n + c is same as z = z^(m*n) + c come to think of it... --------- Original Message --------- DATE: Mon, 05 Apr 2004 04:04:45 From: "Raymond Filiatreault" <rayfil(a)hotmail.com> To: fractint(a)mailman.xmission.com Cc: >I did mention that the two formulas were FUNDAMENTALLY different. One uses >the ACOS function of "z" while the other uses the ACOSH function of "z". > >With real numbers, the acos function could only take arguments which have an >absolute value less than or equal to 1.0, and produce results between 0 and >2PI. Similarly with real numbers, the acosh function could only take >arguments which are positive and greater than or equal to 1.0, and produce >results between +INFINITY and -INFINITY. > >However, raising either of these functions of "z" (a complex number) to the >4th power and adding "c" have been producing the identical fractal, which >also happens to be a quarter replica of the M-set. I wonder if some genius >mathematician could make sense of this unexpected behaviour with complex >numbers. > >I got the same results with Fractint using the following formula and testing >with the acos and acosh functions: > >rayfil { > c = z = pixel: > z = fn1(z) > z = z*z > z = z*z + c > |z| < 4 >} > >Raymond > >_________________________________________________________________ >Add photos to your messages with MSN Premium. Get 2 months FREE* >http://join.msn.com/?pgmarket=en-ca&page=byoa/prem&xAPID=1994&DI=1034&SU=ht… > > >_______________________________________________ >Fractint mailing list >Fractint(a)mailman.xmission.com >http://mailman.xmission.com/cgi-bin/mailman/listinfo/fractint >

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Re: [Fractint] Re: More Mandelbrot sets???
by Russell Walsmith 05 Apr '04

05 Apr '04

Well, if I understand what you're asking, I've noticed in similar investigations that z = z*z z = z*z + c is equivalent to z = z^4 + c. In general, as becomes obvious when you look at it for awhile, z = z^m z = z^n + c is equivalent to z = z^(n+m) + c. Ciao, Russell --------- Original Message --------- DATE: Mon, 05 Apr 2004 04:04:45 From: "Raymond Filiatreault" <rayfil(a)hotmail.com> To: fractint(a)mailman.xmission.com Cc: >I did mention that the two formulas were FUNDAMENTALLY different. One uses >the ACOS function of "z" while the other uses the ACOSH function of "z". > >With real numbers, the acos function could only take arguments which have an >absolute value less than or equal to 1.0, and produce results between 0 and >2PI. Similarly with real numbers, the acosh function could only take >arguments which are positive and greater than or equal to 1.0, and produce >results between +INFINITY and -INFINITY. > >However, raising either of these functions of "z" (a complex number) to the >4th power and adding "c" have been producing the identical fractal, which >also happens to be a quarter replica of the M-set. I wonder if some genius >mathematician could make sense of this unexpected behaviour with complex >numbers. > >I got the same results with Fractint using the following formula and testing >with the acos and acosh functions: > >rayfil { > c = z = pixel: > z = fn1(z) > z = z*z > z = z*z + c > |z| < 4 >} > >Raymond > >_________________________________________________________________ >Add photos to your messages with MSN Premium. Get 2 months FREE* >http://join.msn.com/?pgmarket=en-ca&page=byoa/prem&xAPID=1994&DI=1034&SU=ht… > > >_______________________________________________ >Fractint mailing list >Fractint(a)mailman.xmission.com >http://mailman.xmission.com/cgi-bin/mailman/listinfo/fractint >

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Default of fliprnot reflects what can happen to a name.
by SherLok Merfy 04 Apr '04

04 Apr '04

fliprnot { ; function=zero/ident/recip . Radical orbits. z=fn1(pixel), c=fn2(pixel): z = sqr(z) +c c = fn3(c) LastSqr <=real(P1) } Default { ; As good as any reason to start zed at zero. ; It might be interesting to hear this with ; orbits connected as in mandelcloud. reset=2003 type=formula formulafile=fliprnot.par formulaname=fliprnot function=zero/ident/recip passes=t params=4/0 fillcolor=255 inside=255 cyclerange=1/247 symmetry=xaxis periodicity=-3 showorbit=yes }

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FOTD 04-04-04 (Star of the Ages [7])
by Jim Muth 04 Apr '04

04 Apr '04

FOTD -- April 04, 2004 (Rating 7) Fractal visionaries and enthusiasts: Today's image takes us to the land created when 0.2 parts of Z^3 are subtracted from Z^2, where we further study the possibili- ties of the 'fmod' option. We also make use of the 'bof61' inside coloring option, which is effective because a good part of the image consists of areas of trapped 'inside' points. Yes, I do feel a bit guilty about the departure from fractal reality that took place when I decided to use these two options rather than outside=iter, inside=0, but the image is not bad, in fact it rates a 7, and is worth its moment in the sun as FOTD for April 4. I saw a letter on the fractint list recently wondering whether formulas other than Z^2+C will produce undistorted Mandelbrot sets. I would say the answer is yes. I have been producing them for years with the MandelbrotMix series of formulae. A formula as simple as Z^2+Z+C will merely shift the M-set around, while leaving it otherwise unchanged. Curiously, when Z is added to any power of Z other than 2, an entirely new fractal will result. See what happens when the formula Z^(2.5)+Z+C is calculated. And the formula Z^2+2Z+C has no effect whatsoever, producing a Mandelbrot set that is both undistorted and in its proper position as well. When searching for a name for today's image, I was struck by the eight-pointed star, and thought of the name "Star of the Ages". The name has a kind of religious sound to it, but no connection to religion was intended. When combined with the render time of over 5 minutes, today's image has an overall value of 131. For convenience, the completed GIF image will soon be posted on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Though the weather was improved here at Fractal central on Saturday, it was still too wet and chilly (50F 10C) for the cats to remain in the yard longer than 30 minutes. They spent the remaining 23-1/2 hours sleeping. The problem this morning is more rain, colder temperatures, and high winds, so I doubt that the day will be any better. For me, it might be an afternoon of 'antiquing' as the fractal lady calls examining the junk that others have thrown away. When the crisis has passed, I'll return to fractal land. Until tomorrow, take care, and I have yet to see a discarded fractal in one of those antique shops. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START 20.0 PAR-FORMULA FILE================================ Star_of_the_Ages { ; time=0:05:19.73--SF5 on a P200 reset=2003 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=ident passes=1 center-mag=-1.89130860945648100/+0.000079946227141\ 96/1464693/1/15/-1.43131317909e-008 params=1/2/-0.\ 2/3/0/0 float=y maxiter=1500 inside=bof61 proximity=0.3 outside=fmod periodicity=10 colors=050BLrBLrBLrBLrBLrBLqBLqBLqBLqBLoALnALnALnA\ LnALnALmALmALmALmALmALm8Lk8Lk8Lk8Lk8Lk8Lj8Lj8Lj8Lj\ 8Lj6Li6Li6Li6Li6Li6Lg6Lg6Lg6Lg6Lg3Kf4Lg4Lg6Lg6Lg6L\ g8Lg8Lg8LgALgALgALaBLgBLgDLgDLgDLgFLgFLgFLhGLhGLhG\ LhILhILhILhJLhJLhLLhLLhLLhMLhMLhMNhONhONhONhPNhPNh\ RNhRNhRNhSNhSNiSNiUNiUNiUNiVNiVNiVNjWNjWNjYNjYNjYN\ jZNjZNjZNj`Nj`Nj`NjaNjaNjaIjaKiaLgaLfaNeZNcYOZWQTV\ QNSOGRNGPLHMKIOIJOGKOFLPDMPBNP9OP9PR9QR9RR9SR9TSDU\ SGVSIWSKXUKYUKZUK_VK`VKaVLbVLcWMdWNeWOfWPgYQhYRiYS\ jYSkZTlZTmZTn`To`Tp`Tq`TraUsaTtaTuaTvcTwcTxcTxcTxd\ UxdUxdVxcWydWydXydXzfYzfYzfZzgZzh_zi`zj`zkazlazmby\ nbyocypcxqdxrdxsewtewufwvfvwgvxhvziozkrzluznuzouzq\ uzruztuzuuzsuzsuzquzquznuznszlqzkozhmxhjwgivgftees\ ebrdapcZoaXnaUl`Rk`Qj_Nh_MgYJfXHdWEcWEcVDcVDdVDdWD\ dXDfXBfZBg_Bh`BibBibBjcAkeAkfAmhAnhAniApk8rl8sm8um\ 8vo8wp8IKkGKjGKjFKjDKjDKj } 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 } END 20.0 PAR-FORMULA FILE==================================

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FOTD 03-04-04 (A New Land [7])
by Jim Muth 03 Apr '04

03 Apr '04

FOTD -- April 03, 2004 (Rating 7) Fractal visionaries and enthusiasts: Today's image takes us to the same area of the same fractal that yesterday's image was found in. A different, larger, midget lies at the center of the screen in today's image, though the underlying character is the same as yesterday's. The big change is that today's image has been rendered with the 'fmod' option, while yesterday's was rendered using the standard 'iter'. As is typical of images rendered with the 'fmod' option, today's image consists of overlapping bubbles. Extra interest is added because of the discontinuities, which cause some of the bubbles to be broken. I particularly enjoy the tiny, apparently disconnected pieces floating around in the scene. These are common in 'fmod' images. When I create a fractal using something other than the traditional 'equal-iteration-band' method, I sometimes feel I am cheating. The real fractal, the theme if you will, is what appears when the image is colored according to how many iterations it takes any particular point to pass beyond the escape radius. All other fractals are variations of the real thing. But sometimes variations can be quite interesting, and today's image is a very interesting version of a fractal that otherwise would be almost a repeat of yesterday's. The colors have turned out unusually smoothly for a GIF fractal image, in fact, the individual color bands are so subdued as to be almost invisible. (I said 'almost' invisible for the benefit of the extra-observant fractalists, who will still see the bands.) Since today's image is a near-repeat of yesterday's, I rated it at a similar 7. The faster render time of 3-3/4 minutes gives an overall value of 185. I named it "A New Land" for no particular reason. The completed GIF image, along with this letter, has been posted to the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> The steady rain continued all day Friday here at Fractal Central, while the temperature hovered around 43F 6C. These were rather unpleasant conditions for enjoying the outdoors. The cat duo remained sullen most of the day, though their bad moods were not very noticeable, considering that they now spend around 22 hours every day sleeping anyway. A treat of salmon in the evening cheered them somewhat. Today is again starting cloudy, but it is not raining. We'll see how the day goes. It should be a rather good day for me. There are only a few minor bits of work to get into shape before the fractal fun begins. Until tomorrow's FOTD, take care, and report any sightings of alien fractals to your local fractal police. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START 20.0 PAR-FORMULA FILE================================ A_New_Land { ; time=0:03:45.80--SF5 on a P200 reset=2003 type=formula formulafile=allinone.frm formulaname=MandelbrotBC2 passes=1 center-mag=-0.7\ 7212345977/-0.10483788219/10845.41/1/-22.5/6.03545\ 893818058232e-011 params=1.55/0/0/0 float=y maxiter=3600 inside=0 outside=fmod periodicity=10 colors=000DkEDkEClEBlEBmFAmF9nF8nF8oF7oF6pF6pF7oG7\ nG7mG8lG8kG8jG9iG9hH9gHAgHAfHAeHBdHBcHBbHCaIC`IC_I\ D_IDZIDYIEXIEWIEVJFUJFTJFSJGSJGRJGQJHPKHOKHNKIMKIL\ KIKKJKKJJKJILKHLKGLKFLLELLDLLCL3A7CBELCLUDSbEZkFes\ FlpHjmIhkJfhKdeMccNa`O_ZPYWQXTSVRTTOURMVPJXOGYMEZK\ B_I7ZE8_G9`H9`IAaKAaLBbMBbNCcPCdQDdRDeSEeUEfVFfXFg\ YGhZGh_Hi`HibIjcIjeJkeJlgKlhKmiLmkLnlMnmMonNpoNpqO\ qrOqsPruPrvQswRrzQsxQrxQqxQqxQpwQowPnwPnwPmvPlvPkv\ PkvPjuOiuOhuOhuOgtOftOetOetNdsNcsNbsNbsNarN`rN_rM_\ rMZqMYqMXqMXqMWpMVpLUpLUpLToLSoLRoLRoKQnKPnKOnKOnK\ NmKMmKLmJLmJKlJJlJIlJIlJHkJGkIFkIFkIEjIDjICjICjIBi\ HAiH9iH9iH8hH7iH6gI5hH6hH6gH6gH6gH6fH6fH7eH7eH7dH7\ dG7cG7cG7bG8bG8aG8aG8`G8`G8_G8_F9ZF9ZF9YF9YF9XF9XF\ 9WFAWFAVFAVEAUEAUEATEATEBSEBSEBREBREBQEBQEBQFCRGDS\ HESHFTIGTJHUKIUKJVLKVMLWNMWNMXONXPOYQPYQQZRRZSS_ST\ `TU`UVaVWaWXbXYcYZdZ_e_`f } frm:MandelbrotBC2 { ; by several Fractint users e=p1, a=imag(p2)+100 p=real(p2)+PI q=2*PI*floor(p/(2*PI)) r=real(p2)-q Z=C=Pixel: Z=log(Z) IF(imag(Z)>r) Z=Z+flip(2*PI) ENDIF Z=exp(e*(Z+flip(q)))+C |Z|<a } END 20.0 PAR-FORMULA FILE==================================

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formulafile=cards.par
by SherLok Merfy 02 Apr '04

02 Apr '04

(That's not actually necessary, unless you want to see what comes without parameters, but renaming the file is, because no root seems to be on this Lynx-fronted UNIX-compatible terminal system of late.) Your rights to this work do not exclude commercial development, and you are welcome to make recognizable changes to the tune, the colour maps or the methods of imaje composition in order to call it yours. Failing such uses that I would consider fair, and recovering your costs of production means that you owe me. The contents of this message are otherwise meant for intact distribution. Other rights or obligations may follow from laws or institutional guidelines respecting attribution or netiquette in your society. A private instigator transmitted this message. Square { ; Stripped formula for diamond. params=1/0/2/0/ident ; Display=function first. Public domain. z=z-z, c=fn1(pixel), delta=P1: z=(z+delta)*(z-delta)*(z+flip(delta))*(z-flip(delta))/c |z| <= real(P2) } PixelPower { ; Formula for club. Public domain. z=fn1(pixel), s=P2+fn2(pixel), if(P3==(0,0)) P3=sqrt(0,2) endif: z = z^s +P1, |z| <=real(P3) } Heartx { ; Stript version of hearty. params=1/0/4/0/ident ; Public domain. s=z=fn1(real(-1/pixel) +flip(imag(-.5/pixel))): z=s*(z-P2)*(P2-z) |z| <= real(P1) } Rock { ; Formula for Diamond. z=z-z, c=fn1(pixel), iter=-1: iter=iter+1, if(iter>-1 && iter< 14 ) note= 11 elseif(iter> 13 && iter< 36 ) note= 13 elseif(iter> 35 && iter< 42 ) note= 17 elseif(iter> 41 && iter< 52 ) note= 19 elseif(iter> 51 && iter< 66 ) note= 16 elseif(iter> 65 && iter< 80 ) note= 23 elseif(iter> 79 && iter< 102 ) note= 31 elseif(iter> 101 && iter< 108 ) note= 29 elseif(iter> 107 && iter< 118 ) note= 23 elseif(iter> 117 && iter< 132 ) note= 31 elseif(iter> 131 && iter< 146 ) note= 11 elseif(iter> 145 && iter< 168 ) note= 10 elseif(iter> 167 && iter< 174 ) note= 13 elseif(iter> 173 && iter< 184 ) note= 17 elseif(iter> 183 && iter< 198 ) note= 13 elseif(iter> 197 && iter< 212 ) note= 29 elseif(iter> 211 && iter< 234 ) note= 51 elseif(iter> 233 && iter< 240 ) note= 59 elseif(iter> 239 && iter< 254 ) note= 44 elseif(iter>= 254 ) iter=-1 endif, note=note* 19 / 460 z=(z+note)*(z-note)*(z+flip(note))*(z-flip(note))/c |z| <= real(P1) } Hearty { ; Might be worth compiling as overlay. s=z=fn1(real(-1/pixel) +flip(imag(-.5/pixel))), iter=-1: iter=iter+1, if(iter>-1 && iter< 7 ) note= 11 elseif(iter> 6 && iter< 18 ) note= 13 elseif(iter> 17 && iter< 21 ) note= 17 elseif(iter> 20 && iter< 26 ) note= 19 elseif(iter> 25 && iter< 33 ) note= 16 elseif(iter> 32 && iter< 40 ) note= 23 elseif(iter> 39 && iter< 51 ) note= 31 elseif(iter> 50 && iter< 54 ) note= 29 elseif(iter> 53 && iter< 59 ) note= 23 elseif(iter> 58 && iter< 66 ) note= 31 elseif(iter> 65 && iter< 73 ) note= 11 elseif(iter> 72 && iter< 84 ) note= 10 elseif(iter> 83 && iter< 87 ) note= 13 elseif(iter> 86 && iter< 92 ) note= 17 elseif(iter> 91 && iter< 99 ) note= 13 elseif(iter> 98 && iter< 106 ) note= 29 elseif(iter> 105 && iter< 117 ) note= 51 elseif(iter> 116 && iter< 120 ) note= 59 elseif(iter> 119 && iter< 127 ) note= 44 elseif(iter>= 127 ) iter = -1 endif, note=flip(note* 19 / 460 ) z=s*(z-note)*(note-z) |z| <= real(P1) } Tool { z = z-z, iter=-1, c=fn2(fn1(pixel)): iter=iter+1, if(iter>-1 && iter< 3 ) note= 47 elseif(iter> 2 && iter< 5 ) note= 23 elseif(iter> 4 && iter< 16 ) note= 37 elseif(iter> 15 && iter< 21 ) note= 29 elseif(iter> 20 && iter< 24 ) note= 31 elseif(iter> 23 && iter< 26 ) note= 29 elseif(iter> 25 && iter< 37 ) note= 31 elseif(iter> 36 && iter< 42 ) note= 23 elseif(iter> 41 && iter< 45 ) note= 31 elseif(iter> 44 && iter< 47 ) note= 29 elseif(iter> 46 && iter< 58 ) note= 41 elseif(iter> 57 && iter< 63 ) note= 47 elseif(iter> 62 && iter< 66 ) note= 43 elseif(iter> 65 && iter< 68 ) note= 47 elseif(iter> 67 && iter< 79 ) note= 23 elseif(iter> 78 && iter< 84 ) note= 31 elseif(iter>= 84 ) iter=-1 endif, z = z^(note/ 33.875) +c z = z*z z = z*z +c |z| <= imag(P1) } DiamondH { ; ~14s/megapixel. Use the absolute negative of ; this to mask off the border of DiamondV. reset=2003 type=formula formulafile=cards.par formulaname=rock function=ident center-mag=0/0/0.0583274/1.3374 params=16/0 float=y maxiter=255 invert=1.32/0/0 symmetry=xyaxis periodicity=0 viewwindows=0/0/no/600/315 video=SF5 colors=zzz000<4>000zV0<3>zzz<3>0Wz0z00zz00zz0z00z<3>mmzzzzzzuppzzzkeez\ zz`WWzzzRLLzzzGBBzzz000zpzA<3>Bzo0zz00zz00BAzzBCMKzzMPYVzzY`hdzzhmtnzz\ tz000uzu000<4>000<3>0009z900z0zzzz0hzhzzzz000z0z666z6zCCCzCzIIIzIzOOPz\ PzUzVzVz__`z`zeegzgzkkmzmzqq000000zzz<4>zIzz9zz0z000<26>000<4>000z8000\ 0<69>000<4>0000wzzV000zzz0z0z0z0z000wzzV000zzz0z0z0z0z000wzzV000zzz0z0\ z0z0z000wzzV000zzz0z0z0z0z000wzzV000zzz0z0z0z0z000wzzV000zzz0z0z0z0z00\ 0z0 video=SF5 savename=diamondh } DiamondV { ; Use this after above modification to drop ; luminance of DiamondH. Raise luminance through ; negative of this. ~35s/megapixel@350Mhz ; Map Needed for other parameters. reset=2003 type=formula formulafile=cards.par formulaname=rock function=ident center-mag=0/0/0.0583274/1.3374 params=16/0 float=y maxiter=255 outside=atan invert=1.32/0/0 symmetry=xyaxis periodicity=0 viewwindows=0/0/no/600/315 video=SF5 colors=(a)grayhack.map } DiamondS { ; fmod view for mask on negation, maybe. ; ~30s/megapixel. reset=2003 type=formula formulafile=cards.par formulaname=rock function=ident center-mag=0/0/0.0583274/1.3374 params=16/0 float=y maxiter=255 inside=0 proximity=1 outside=fmod logmap=old invert=1.32/0/0 symmetry=xyaxis periodicity=0 viewwindows=0/0/no/600/315 video=SF5 colors=000<151>wwwxxxxxx<3>zzz000<95>000 } ClubsH { ; Sorting off. Start with DiamondH. ; ~1m/megapixel. reset=2003 type=formula formulafile=cards.par formulaname=pixelpower function=sin/sqrt center-mag=1.42995/0/0.1520244/1.4243/90/3.88578058618804789e-016 params=0/0/0/0/0/0 float=y maxiter=1024 inside=0 invert=1.45742001678948/1.33/0 symmetry=xaxis periodicity=0 viewwindows=0/0/no/600/315 video=SF5 colors=000z00z10z40z70zB0zG0zK0<3>zf0zl0zs0zz0zz0<9>Oz0Kz0Gz0<3>0z0<9>\ 0zb0zf0zj<3>0zz<9>0Oz0Kz0Gz<3>00z<191>z0z } ClubsV { ; ~1.5m/megapixel @ 350Mhz. reset=2003 type=formula formulafile=cards.par formulaname=pixelpower function=sin/sqrt center-mag=1.42995/0/0.1520244/1.4243/90/3.88578058618804789e-016 params=0/0/0/0/0/0 float=y maxiter=1024 inside=0 outside=atan invert=1.45742001678948/1.33/0 symmetry=xaxis periodicity=0 viewwindows=0/0/no/600/315 video=SF5 colors=(a)grayhack.map } heartH { ; Chrominance: Alter through masks. ; ~2m/megapixel@350Mhz. reset=2003 type=formula formulafile=cards.par formulaname=hearty function=atanh center-mag=0/-1.1811/0.347/1.18 params=37/0 float=y maxiter=255 inside=0 symmetry=yaxis periodicity=0 viewwindows=0/0/no/600/315 video=SF5; colors=(a)preemoh.map colors=zzzz00zz00z00zV0zz0Wz00z<3>z0zz0Wz00<3>zz0Wz00z0<3>0zz<3>0Lz0Bz\ 00zV0zz0z<3>z0Lz0Bz00<3>zz0Wz00z0<3>0zz<3>0Lz0Bz00z<3>e0zo0zz0zz0Wz00<\ 3>ze0zo0zz0<3>0z00zV0zz<3>0Lz0Bz00z<3>z0z<3>z0Lz0Bz00<3>zV0zb0zj0zr0zz\ 0<3>0z00zV0zz<3>00zV0zz0z<3>z00<7>z_0zc0zh0<3>zz0<3>0z0<3>0ze0zo0zz0Wz\ 00z<3>P0zV0z`0z<3>z0zz0Wz00<3>ze0zo0zz0<3>Lz0Bz00z0<3>0zz<3>0Lz0Bz00z<\ 3>e0zo0zz0zz0Wz00<3>zP0zV0z`0<3>zz0Wz00z0<3>0zz0Wz00z<5>V0z_0ze0z<3>z0\ z<5>z0Wz0Rz0L<3>z00<3>zz0Wz00z0<3>0zz<3>0Lz0Bz00zV0zz0z<3>z0az0Wz0Q<3>\ z00<3>zzz } heartV { ; Drop luminance through this "graymask". ; ~3.5m/megapixel@350Mhz. reset=2003 type=formula formulafile=cards.par formulaname=hearty function=atanh center-mag=0/-1.1811/0.347/1.18 params=37/0 float=y maxiter=255 inside=0 outside=atan symmetry=yaxis periodicity=0 viewwindows=0/0/no/600/315 video=SF5; colors=(a)grayhack.map } heartS { ; Mask on negation. Last. Raise contrast. ; ~3.5m/megapixel@350Mhz. reset=2003 type=formula formulafile=cards.par formulaname=hearty function=atanh center-mag=0/-1.1811/0.347/1.18 params=37/0 float=y maxiter=255 inside=0 proximity=1 outside=fmod symmetry=yaxis periodicity=0 viewwindows=0/0/no/600/315 video=SF5; colors=(a)grayhack.map } Spades_Crude { ; If I do say so, myself. 8-) ; 23.62s/megapixel@350Mhz. reset=2003 type=manzpower center-mag=-0.9616/0/1/1.19/-90/3.88578058618804789e-016 params=0/0/4/0 float=y maxiter=255 inside=0 proximity=4 outside=fmod invert=0.47/-0.47/0 symmetry=xaxis colors=(a)grayhack.map } Spades { ; 4by5 is 2400*1575 for 8"*5.25" @ 300dpi. ; Same colours as HeartH with first colour black. ; ~50s/megapixel@350Mhz. reset=2003 type=formula formulafile=cards.par formulaname=tool function=flip/recip center-mag=0/0.541224/0.1891708/1.97 params=2/4 float=y maxiter=255 inside=0 symmetry=yaxis periodicity=0 viewwindows=0/0/no/600/315 video=SF5 viewwindows=0/0/no/600/315 colors=(a)preemoh.map } SpadesVV { ; Disk-video modes only work with passes=1. ; grayhack.map=-altern.map with first colour set to black. ; ~1m/megapixel@350Mhz. I deleted my true graymaps, ; because it's usually an error for me to use them, ; and they're easy to jenerate, approximately. reset=2003 type=formula formulafile=cards.par formulaname=tool function=flip/recip center-mag=0/0.541224/0.1891708/1.97 params=2/4 float=y maxiter=255 inside=0 outside=atan symmetry=yaxis periodicity=0 viewwindows=0/0/no/600/315 video=SF5 viewwindows=0/0/no/600/315; colors=(a)grayhack.map }

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