- Fractint - mailman.xmission.com

Re: Fractint Digest, Vol 2, Issue 3
by JackOTradez 28 Apr '03

28 Apr '03

Re: Dinosaurs, Black Holes and Server Errors. 1) I also have not received the Fractint Email for several weeks; I thought I had been kicked out of the group, although I would have no reason why. I guess I missed the Mandelmania, Lee H. Skinner Images people are talking about now that look like dinosaurs or velociraptors. Can someone point me to them so I can check out? 2) I have investigated the "Black Hole" formula recently posted. I have seen many such patterns before - they are common if you zoom deep into the extreme left end of the Mandelbrot, the "needle point". (demonstrated by my Universe-2 viddie). There are many regions where you can zoom into intersecting lines forever and never encounter a mini-brot. A clue in the posted formula image is that the two flanking mini-brots are pointing towards each other. If there was a mini-brot in the center, it would be pointing in one direction, thus disrupting the symmetry. That's not good. Stated another way, since nothing CAN be at the center, nothing IS. It is an example of a recurrent phenomenon in Fractals I call "infinite regression". (The spiral regressions make for nice zoom viddies). Also, and I am not totally sure of this, but in the examples where there is a symmetrical LAKE in the center, if a sufficiently high iteration maximum is used, the lake will resolve (disappear). Finally, I zoomed deep into it and at about E+9 it all came undone. THAT I have never encountered before! I may be a Jack O(f many) TradeZ but I confess I have no explanation for this one ... BTW - I would rate the "JellyBeans" FOTD higher than the given 6 - it is one of the better images I have seen in a while. (How does that Muth dude find these things? ...) Stay Amazed! JoTz

2 1

Re: [Fractint] FOTD 26-04-03 (Jelly-Bean Fantasy [6])
by Jim M. 27 Apr '03

27 Apr '03

At 12:45 PM 4/27/03 -0600, Lee Skinner wrote: >A strange and rare new kind of fractal symmetry object has been found! Lee: You are correct. It is a new symmetry. What you have found is a collision of two quadratic midgets. In this case, only the stems are in contact. They bump together head-on and shoot out sideways. Try gradually reducing the value of the real(p1) parameter to -3.69. The midgets will move in from the edges of the frame and start to merge, while billowing outwards sideways. As you continue reducing the value, it will make clearer what is happening here. BTW, there are some really interesting smaller midgets lurking invisibly around the edges of the frame. Jim M. >(The following refers to a zoom into the parent image of this FOTD.) > >The following par illustrates a new kind of symmetry object that I've >never seen before. Like a spiral, it goes on forever. If you zoom >into the symmetry point at the center, you will NEVER reach a mandelbrot >midget (or a dry lake). > >(But Fractint will display some weird artifacts if you zoom deeper than >5.E+8.) > >Note the two midgets on the x-axis near the left and right edges, and >how they point towards each other. This I have seen several times >before, but there has always been a symmetrical lake at the center. >This time, there is no lake - just this point singularity! In all the >MandelbrotMix images I've seen before, I've never encountered anything >like this! > >BlackHole { ; A new type of symmetry object > ; t= 0:11:20.47 on a P4 2Gh at > ; 1600x1200 Image Copyright 2003 > ; by Lee H. Skinner ver=2002 > ; Version 2002 Patchlevel 5 > reset=2002 type=formula formulafile=fractint.frm > formulaname=mandelbrotmix4 function=recip passes=1 > center-mag=-0.64674455879419490/+0.00022406378688037/\ > 140.8758 params=-3.7/-1/-1.6/-2/-0.4/240 float=y > maxiter=8500 inside=0 logmap=35 symmetry=none > periodicity=10 > colors=000ZE9<10>PJDOKDNKEMLELLEKMF<26>Q_FR_FR`FR`FRa\ > F<16>ZdRZeS_eT_eU`eU`eV_eV<12>cjqckrcktdlvdlxemz<5>os\ > zptzruz<3>yyz<4>suurutqtrosqnrpmro<3>gojfniemhcluckfn\ > mtakhchWahlZZZ<2>idamgcnigoklpmpqpu<3>mkoljnjhl<3>ddh\ > ccgaaf<2>YZcWXaWW_<3>SPSSOQRMO<3>NGGLEEKCC<16>gPIiQJj\ > RJ<3>qVMsWNuXOwZP<7>xnVxpWyrX<3>zz`<14>zNFzKDzHC<3>y7\ > 5y54y32z00<29>_E9 > } > >_______________________________________________ >Fractint mailing list >Fractint(a)mailman.xmission.com >http://mailman.xmission.com/cgi-bin/mailman/listinfo/fractint >

1 0

FOTD 26-04-03 (Jelly-Bean Fantasy [6])
by Jim M. 27 Apr '03

27 Apr '03

FOTD -- April 26, 2003 (Rating 6) Fractal visionaries and enthusiasts: During the past day or so I have been pondering the parallel universes that, as weird as it may seem, must now be assumed to exist. As a result of the scientific investigations of the past 50 years or so, we have come to realize that an infinity of infinities of these other universes must exist. Not only does every possible universe exist, an infinity of every possible universe exists. Right now, if this phrase has any meaning, there are an infinity of other versions of myself typing these same words. There are an infinity of other myselves that have made the same single mis-spelling in one word of the discussion. And there are an infinity of myselves that have found exactly the same fractal for today's FOTD. So I guess fractals are not quite as unique as I once supposed. Today's fractal, by the way, reminds me of a bowl of jelly- beans. I named it "Jelly-Bean Fantasy" accordingly. It is part of the parent fractal that results when various portions of 1/Z and Z^(-2) are combined, and 1/C is added before the whole thing is iterated with an escape radius of 340. Using whole-number powers of Z prevents distracting discontinui- ties from forming, though, as is the case with most fractals with negative exponents, different elements tend to overlap. The rating of 6 is reasonably honest. I could have done better if I had tried harder. But a 6 is still above average, so this rating will remain. The 23 minutes spent waiting for the image to render from the parameter file could most likely be spent in more productive endeavors. To save time, I recommend picking up the finished image from one of the FOTD web sites at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> and at: <http://sdboyd.dyndns.org/~sdboyd/fotd/index.html> The weather has been changeable during the past week here at Fractal Central. The cats' moods have been changeable as well. As a single example, Friday was warm and sunny; today is starting rainy and chilly. This is the way it goes in this part of the world at this time of year. The dynamic duo appears sullen, as they always are when it is raining, but they will survive the inconvenience -- at least they always have in the past. As for myself, I'm using the bad weather to catch up on some tasks that have needed to be done around the place for some time. The daily FOTD will resume on schedule this Thursday, May 1. The FOTD CD will be ready as soon as I get all the image file-names changed. Until Next time, which will arrive in five glorious days, take care, and what would you think if you actually met an alternate version of yourself? Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START 20.0 PAR-FORMULA FILE================================ Jelly-Bean_Fantasy { ; time=0:23:06.60--SF5 on a P200 reset=2002 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=recip passes=1 center-mag=-0.94249648630458650/-0.211984547670434\ 70/3398605/1/115.000001038892464/-1.11471021949083\ 315e-006 params=-3.7/-1/-1.6/-2/-0.4/240 float=y maxiter=8500 inside=0 logmap=335 periodicity=10 colors=000VJ0H20G00G00G00aO0E00C00i00E00G00G00G02H\ 35H57J99JCCJGELJGLMJMOLMRMMVQOZROaVOdXQfZQiaRmcRpd\ RshTwiTykVznVzpVzrXzuXzwXzyZzwZzw_zw_zwazwazwazucz\ uczudzudzudyufysfwshushsshrsipsiprknrkmrkkrmirmhrn\ frnfppdppcppapr_prZpsZnsXnsVnuTnuRnwQnwQmwOmyMmyLm\ zJmzHmzHmsGpmGrfGs_GuTGwMGzGGz9Gz2Gz0Gz2Jy9MrEQiLT\ cQXVX_OacGhf9mi0sm0zm0yn0wn0wn0un0un0sp3sp9rpCppGp\ pJnrMnrQmrVmrZkraksdishhskhspfssfuwduzduzcuzcuzarz\ apzanz_mz_kz_hy_fwZduZcsZarX_pXXmXVkXTiVRhVQfVOdTL\ cTJaTH_TGZREXRCVR9RQ7QQ5OQ3MQ2LO0JO0HO0GM0EM0CM0AH\ 07M09R09V0A_0Ac0Ch0Cm2Ep5Eu7GyAGzCHzHCzEHzCMzARz9X\ z7az5fz3kz2pz0uz5rz9nzCmzHizLfzOdzTazVZzXXzZTz_Qza\ OzcQzdRzfTzhVziXziZzk_zkazmczmdznfznhzpizpkzrmzrnz\ spzsrzuszuuzwwzwyzyzzyzzzzzzzzzszzhzzZzzOzzJzzGzzC\ zz7zz3zz0zz0zz0zz0zz0zz0zz0zz0zz0zz0zz0yz0yz0yz0wz\ 0wz0wz0uz0uz0uz0sz0sz0sz0 } 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==================================

2 1

Mandelmania, Lee H. Skinner Images
by Albrecht.Niekamp＠t-online.de 26 Apr '03

26 Apr '03

Hi Lee, a big thank you for those images. They are fantastic and they are a new experience to me as I never have seen images made by my formulas except my own. I definetely hope there will be more. For me the best one is the last one. "Velociraptor", a kind of dinosaurer I think, is really is a suitable name for those structures. Presently I`m working on a big thing and I can understand Jim´s problems with his cd, as everytime I think its done, I come onto new things that make it better or more complete. Hopefully it will be ready for the next digest. Fractal greetings, Al.

5 9

FOTD 19-04-03 (Feelers [7])
by Jim M. 18 Apr '03

18 Apr '03

FOTD -- April 19, 2003 (Rating 7) Fractal visionaries and enthusiasts: The Easter season here and a dinner is planned for Sunday. As a result, I find myself with lots of work to accomplish, both fractal and otherwise. With so many other things to do, I have made little progress on the much promised but little seen FOTD CD since my last report one week ago. But fear not, the critter will soon be on the market, later than Windows95, but better late than never. In recent months I have uncovered a whole new infinite world to be explored -- the world of evaporated fractals made visible by the < bof61 > inside fill. And with a whole new world waiting to be discovered, the best thing to do is to start exploring. Today's evaporated scene is part of the evaporated left-overs of the fractal that results when negative portions of Z^(-1.6) and Z^(-7.6) are combined and (1/C) is added. The exact location is in the East Valley area of a small satellite Mandeloid near the shoreline of the main bay, the shape of which is indescribable. I named the image "Feelers" because of the effect of tendrils being sent down toward the remnants of a midget at the center, to feel out what is there. At least that's what I thought of as I studied the rather lively scene. The rating of an above-average 7 is well justified. The image is the best of the lot for April, though with only 2 images to compete with, it is not much of an honor to be number one. The 14-minute render time (on my aging and soon to be replaced fractal machine) can be avoided by downloading the pre-rendered GIF file from one of the FOTD web sites. Paul's site is at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Scott's is at: <http://sdboyd.dyndns.org/~sdboyd/fotd/index.html> The fractal weather varied widely during the week, as did the moods of the fractal cats. The first half featured sunny days with temperatures around 86F 30C, but the week ended with low clouds, rain and drizzle, and temperatures around 36F 2C. The dynamic ones had an uneventful week of exploring in the yard or sulking on their window shelves, depending on the weather. In the garden, the catnip mint is just appearing. The very aromatic new growth always attracts nearly every cat in the neighborhood, so I expect the fractal ones will have a far more exciting time in the week to come. The next, and final, FOTD of April will appear in 7 days. After that, the daily FOTD will resume on May 1. Check back in one week to see the adventures of the fractal duo. Until next FOTD, take care, and be fractal. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START 20.0 PAR-FORMULA FILE================================ Feelers { ; time=0:14:06.89--SF5 on a P200 reset=2002 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=recip passes=1 center-mag=+1.40044529824960200/+0.049515890248186\ 53/37991.03/1/35/-1.06074004441181202e-009 params=-7/-1.6/-1/-7.6/0/1e+100 float=y maxiter=1200 inside=bof61 outside=0 periodicity=10 colors=000zHtzJszJrzKozLnzMmzOjzOizPhzQezRdzRczS`z\ U_zVZzWWzWVzYUzZRz_Qz_Pz`MzbLzcKzdHzdGzeFzgCzhBzhA\ v_KrRUnKcjBmg2wc0zd0zd0zd2ze5ze7zeAzeCzgEzgGzgJzgL\ yhOyhQxhSxiUwiWwiZvi`vjctjetjhsjiskdkk_ekVZkQSkLMk\ GFkB8k62Z74i85hA6hB7gB8eCAeEBdFCcGEcGFbHF`JG`KH_KJ\ ZLKZMLYOMWPOVPPVQQURRSSRSSSRUUQVVQWWPYYOYZOZ_M_`L`\ bL`bH_cEZdAYd7We4Vg0Ug0Sh0Rh0Sg0Ue0Vd0Wc0Wb0Y`1Z_2\ _Z4_Y5`W5bW6cV7dU8dSAeRBgQBhPChOEiMFjLGkKGkKFiJFhH\ FgHFeGEdFEcFEbEE`EEH_CZBCWBCVAZ74BS8BR7BQ7BP6BO5AM\ 5AL4AK2AH28G18F18E08C08B07A07807707607508708A08C28\ E58G7AJAALCAMFAPHARKAUMBVPBYRB_UBbWBcZBe`ChcCjeCkh\ CnjCqmBqrCroEsmFtjGviHwgJxdKycLz`MzZOzYPzVQzSRzRQz\ QPzPUzLYzJ`zGdzEhzBky8ow5sv2wt0zs0zr0zq0zk0zh0zd0z\ `2zY5zS7yPAxLCwHFvEHqCKmCMiCPeCR`BSYBVUBYQB_MBbHAc\ EAeAAh6Aj2Ak5Cj7FiAGhCJgEKeGMeJOdLQcMRbPU`RV`UY_VZ\ ZY`Y_cWbdWdgVehUzEzzFxzGw } 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==================================

1 0

Re: [Fractint] Bug in float-only 20.02.5
by Jim M. 18 Apr '03

18 Apr '03

At 06:42 AM 4/18/03 -0500, Johnathan O. wrote: No, I had not turned on the evolver. In version 20.02.4 it is not necessary to have the evolver turned on to get the < f6 > screen to come up, and I was using the habitual key-strokes. With the evolver turned on, the version 20.02.5 evolver seems to be working all right. I'll continue using the new version, and report on any other suspected bugs I might find. >On Friday 18 April 2003 06:33 am, Jim M. wrote: > >> I have found a rather serious bug in the evolver feature of the >> float-only version 20.02.5 of Fractint. When the evolver >> feature is on the screen, striking < f6 > should bring up a >> screen that lets the user choose which parameters to change. >> But in the float-only version 20.02.5, striking < f6 > merely >> returns the user to the original image. This feature was >> working correctly in float-only version 20.02.4. > >Have you turned the evolver mode on first? > >I can add some additional code that will turn on the evolver if one of the >function keys is pressed. This assumes that if you have pressed a function >key you do indeed want to use the evolver. > >Jonathan > > >_______________________________________________ >Fractint mailing list >Fractint(a)mailman.xmission.com >http://mailman.xmission.com/cgi-bin/mailman/listinfo/fractint >

1 0

Bug in float-only 20.02.5
by Jim M. 18 Apr '03

18 Apr '03

I have found a rather serious bug in the evolver feature of the float-only version 20.02.5 of Fractint. When the evolver feature is on the screen, striking < f6 > should bring up a screen that lets the user choose which parameters to change. But in the float-only version 20.02.5, striking < f6 > merely returns the user to the original image. This feature was working correctly in float-only version 20.02.4. Jim M.

2 1

Reproducing "Fractal Cosmos" images
by Jim White 17 Apr '03

17 Apr '03

Hello to everyone, this is my first post. Has anyone ever tried reproducing the images in Jeff Berkowitz's "Fractal Cosmos" book? Most of them are supposed to be elementary Mandel/Julia-style fractals and he kindly lists the various formulae and parameters for each image shown. Palette differences aside, reproducing similar images in Fractint should be elementary - he provides the formula, the "corners", "maxiter" and "bailout" values (and "c" for the Julia types). But the first 2 I have tried (p3-22 top-left, p2-23 bottom-left) yield images whose apparent structure in no way resembles what he shows in the book. I was trying to reproduce them for technical reasons - I was trying to verify the accuracy of my own Windows-based fractal engine as I had just added the "complex power" opcode to it. Fractint yielded precisely the same image as my own program, so the verification issue is resolved, but I hate loose ends! Cheers Dr Memory __________________________________________________ Yahoo! Plus For a better Internet experience http://www.yahoo.co.uk/btoffer

1 0

FOTD 12-04-03 (merry Chaos [6])
by Jim M. 12 Apr '03

12 Apr '03

FOTD -- April 12, 2003 (Rating 6) Fractal visionaries and enthusiasts: Today's image is another of my evaporated fractal scenes. When I raised the escape radius of the original image to one-googol, the outside material evaporated, leaving only trapped 'inside' points on the screen. But those trapped points wander far afield in their confinement, doing interesting things that the < bof61 > inside fill has revealed. The parent fractal was created by combining negative portions of Z^(-1.8) and Z^(-8), and adding 1/C instead of C. Using 1/C in an iteration generally turns the fractal inside-out, but since fractals with negative exponents of Z are already inside-out, the 1/C merely reverses the natural inside-out and turns the image rightside-out. I named today's image "Merry Chaos". It's kind of a jolly- sounding name, and with its wealth of detail, the image is rather jolly looking. I rated the image at a 6, which is slightly above normal. A residual muddiness prevents me from rating it higher. With a render time of 9 minutes, the parameter file is a bit on the slow side. The better (and faster) way of viewing the scene is to download the completed GIF image from: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> or from: <http://sdboyd.dyndns.org/~sdboyd/fotd/index.html> The FOTD-CD is progressing slowly. It is rapidly becoming apparent that I will never bring it to a satisfactory state of absolute perfection, and will have to release it with flaws still remaining. The difficulty is that my artistic nature has kicked in, and for everything I fix, I find something else that needs fixing. And with over 2000 images and discussions, even the slightest change means days or weeks of work. I wasted nearly a week trying to reformat every discussion to the same format before convincing myself that it makes no difference. The only thing I really want to do is rename the GIF images from their present cryptic names to the dates on which they appeared. When this is done, which is no small task, I will declare the job finished and ready for distribution. Thomas and Tippy, the fractal-cat duo, are not concerned with compact disks. They are concerned that we have just ended a solid week of rain, and they have not been outdoors in 4 or 5 days. But this morning the clouds are thinning, and I would not be surprised to see the sun appear in an hour or two. If this happens, the fractal cats will be overjoyed. For myself, it will mean a day of lawn trimming. That's it for this week. The daily FOTD will reappear on May 1. Until next Saturday, take care, and never abandon the search for fractal reality, whatever that is. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START 20.0 PAR-FORMULA FILE================================ Merry_Chaos { ; time=0:09:21.17--SF5 on a P200 reset=2002 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=recip passes=1 center-mag=+0.61822723988747150/-1.726020792269529\ 00/248508.6/1/17.5000000004007603/-6.3497827135217\ 122e-010 params=-1/-1.8/-0.2/-8/0/1e+100 float=y maxiter=1200 inside=bof61 periodicity=10 colors=00002R02P24P64PA6PG6NJ8NN8NTALXAL`CLdCL`JGZ\ RAXZ4Ve0Rk0Ps0Nz0Lz0Jz0Nz0RuGVk`ZbubTzeRziPzkPzoNz\ qNzuLzvLxuHvuEuuCuu8su6qu2qs0os0os0ms0ks0ks0is0io0\ gm0ek0dg6beC`dHZbNXZTVXZTVdRTgRReNPdJPbGN`CLZ8LZ4J\ X0HV0HT0GR0EP0EP0GV0H`0He0Jk6LqCLvHGuRCs`6si2qq0oz\ 0oz0mz0mz0kz0iz0gz0gz0ez0dz0dz0bz0`z0`z0Zz0Xz0Xz0V\ z0Tx0Tv0Nk0Jb0GR0AH0660200000400800E60HC0NJ6RPCXVH\ ``NdgTimZmsdsxivzozzuzzzzzuzzoxzisqdmeZiVTdLNZAHT0\ CP08G048C00N00Z00q00e00k00b00f00`00a00`00X00V00V20\ dH0mX0vk0zz0zv0zs0zo4zk8xgEudHq`NmXRiTVeP`bLdZHiVE\ mRAsN6vJ2zHLmZd`mYX0_T0aP0cN0eJ0gG0iE0kA2m64o44q06\ s08u08w0Ay0Cz0CiKGTUHCcJ0hL0cN0ZJ0UHcUGcYEc0Cc0Ac2\ 8c44Z82eC0kG0qJ0xN0zR0zT0VGJ02i0Ab0GX0LP0RJ0ZC2d64\ i06o02k00g00e00b00`20X40V60R60P80LA0JC0GE0EG0AH08H\ 0NX0`i0ox0zz0zz4zzHkzVZzgJuu6mz0ez0Zz0dz2izEozPuz`\ zzZvzZuzXszXo00V00T00R00R } 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==================================

1 0

Mandelmania
by Albrecht.Niekamp＠t-online.de 06 Apr '03

06 Apr '03

Hi all, Fractals are fun... and here is something to play with. ; The formula combines 3 fractals, mandel or julia types, basic or exponential, totally 16 combinations, not all useful maybe. Each one can be defined by maxiter or border values. Now they work! The point was to allow at least one iteration in order to avoid wrong bailout. Set the border values higher then bailout if you dont want to use them and vv. "Soft transitions" means that "z" is not reset at the crossover. Sometimes a completely different inside is calculated if checked. Of course any other basic formulas can be used if they are ismand compatible. As this probably is not the final version, please report any bugs or anything that could be done better. Thank you! Have fun! -----------------------------start-pars------------------------------- Mandelmania { ; a severe case of.. ; Albrecht Niekamp March,03 ; Version 2002 Patchlevel 4 reset=2002 type=formula formulafile=multi231.frm formulaname=multifrac_231 ismand=y function=exp/exp passes=t center-mag=-0.606061/4.44089e-016/0.9363296 params=-0.5/0.375/1536/2048/513/1025/1/1/2560/2560 float=y maxiter=2048 inside=atan outside=tdis logmap=3 periodicity=0 rseed=-2436 colors=200JJJ<14>iiijjjlll<3>sss<25>BBB999777<2>222000012<24>0bo0cq0es<3\ >0kz<25>09C08A068<2>022000211<24>oiQqjRslS<3>zsX<25>CB7A96875<3>000400<2\ 3>o00q00s00<3>z00<25>C00A00800<3>000<9>III } Birds_over_Julia { ; Outside exp. julia ; Albrecht Niekamp, March,03 ; Version 2002 Patchlevel 4 ; Version 2002 Patchlevel 4 reset=2002 type=formula formulafile=multi231.frm formulaname=multifrac_231 ismand=n function=exp/exp passes=t center-mag=0/0/0.6666667 params=-0.00180974761192663/-0.2758911404766991/1536/2048/513/1025/-2/3/\ 2560/2560 float=y maxiter=2048 inside=maxiter outside=tdis periodicity=0 rseed=-2436 colors=200ddd<3>jjjlllnnn<2>sss<25>BBB999777<2>222000012<24>0bo0cq0es<3>\ 0kz<25>09C08A068<2>022000211<24>oiQqjRslS<3>zsX<25>CB7A96875<3>000400<23\ >o00q00s00<3>z00<25>C00A00800<3>000<21>bbb } Mandelmania_2 { ; Julia inside inside ; Albrecht Niekamp, March,03 reset=2002 type=formula formulafile=multi231.frm formulaname=multifrac_231 ismand=y function=exp/sin passes=t center-mag=-0.606061/4.44089e-016/0.9363296 params=-0.5/0.375/1536/2048/513/1025/10/20/2560/2560 float=y maxiter=2048 inside=atan outside=tdis logmap=3 periodicity=0 rseed=-2436 colors=200ggf<18>BBA998776<2>221000011<24>0bn0cp0er<3>0ky<25>09B089067<2\ >021000210<22>keNmgOoiPqjQslRunS<2>zsW<25>CB6A95874653442220000400<23>o0\ 0q00s00<3>z00<25>C00A00800<3>000<2>554776998BBACCB<16>eedggfiihjjillknnm\ <2>ssr<5>iih } Borderline { ; Mix of 3 fractals ; Albrecht Niekamp, March,03 ; Version 2002 Patchlevel 4 reset=2002 type=formula formulafile=multi231.frm formulaname=multifrac_231 ismand=y function=exp/exp passes=t center-mag=-0.30271605328868720/-0.63359923125606620/52.34401 params=-0.00180974761192663/-0.2758911404766991/1536/3072/513/1025/4/2/3\ 300/3300 float=y maxiter=4094 inside=maxiter outside=tdis periodicity=0 rseed=-2436 colors=200RRR<8>BBB999777<2>222000012<24>0bo0cq0es<3>0kz<25>09C08A068<2>\ 022000211<22>keOmgPoiQqjRslSunT<2>zsX<25>CB7A96875<3>000400<23>o00q00s00\ <3>z00<25>C00A00800<3>000<23>eeegggiiijjjlllnnn<2>sss<15>SSS } --------------------------------start-frm----------------------------------- frm:Multifrac_231 { ; Albrecht Niekamp March,03 ;real(p2) factor ;imag(p2) bailout ;real(p3) maxiter1 ;imag(p3) maxiter2 ;real(p4) inside1: 1_mandel 2_julia 3_expmandel 4_expjulia ; other: *10_soft julia transitions <0_outside=exp ;imag(p4) inside2: 1_mandel 2_julia 3_expmandel 4_expjulia ; other: *10_soft mandel transitions <0_no inside1 ;real(p5) border1 ;imag(p5) border2 fac=real(p2) ba=imag(p2) out1=real(p3) out2=imag(p3) b1=real(p5) b2=imag(p5) d1=real(p4) d2=imag(p4) vb=(d1<0) If (vb) d1=d1*-1 endif tj=(d1<10) if (tj==0) d1=d1/10 endif v1=(d1==3) v2=(d1==4) d1=(d1==2)+(d1==4) st=(d2<0) if (st) d2=d2*-1 endif mj=(d2<10) if (mj==0) d2=d2/10 endif v3=(d2==3) v4=(d2==4) d2=(d2==2)+(d2==4) t=0 start=2-st if (ismand) z=0 c=pixel else c=p1 z=pixel endif : if (vb) z=(z+real(c))^(z+imag(c)) else z=z^2+c endif bo=|z| if (start) t=t+1 if (start==2) if ((t>out1)+(bo>=b1)) u=2*(fn1(t/fac)) if (d1) if (tj) z=pixel endif c=p1*u vb=v2 else z=z*u c=z if (mj) z=0 endif vb=v1 endif start=1 t=0 endif else if (t>out2)+(bo>=b2) u=2*(fn2(t/fac)) if (d2) if (tj) z=pixel endif c=p1*u vb=v4 else z=z*u c=z if (mj) z=0 endif vb=v3 endif start=0 endif endif endif bo<=ba } ------------------------------------end------------------------

2 1