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FOTD 16-12-10 (Pyrotechnic Fractal [8])
by Jim Muth 15 Dec '10

15 Dec '10

FOTD -- December 16, 2010 (Rating 8) Fractal visionaries and enthusiasts: Due to a big rush at work, today's usually big FOTD discussion is reduced to a small trial size. The image lies in the oversized parent fractal that results when 0.11 part of Z^100 is combined with 1.1 parts of straight Z and (1/C) is added. The name "Pyrotechnic Fractal" refers to the fiery red hues and sparkling highlights infesting nearly every part of the image. The colors were created almost entirely by the under-rated Fractint coloring system. The colors alone earn the image a rating of an 8. Without the colors, the image would be rated closer to a humdrum rating of 6. The calculation time of under 2 minutes will seem insignificant once a glimpse of the sparkling colors appears at the top of the screen. Calculation may be avoided entirely by viewing the finished image on the web site at: <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> The original FOTD web site is at: <http://www.Nahee.com/FOTD/> though I have not checked in a while to see if Paul has been able to work on it. Plenty clouds, numerous snow flurries and a temperature around 25F -4C prevailed here at Fractal Central on Wednesday. The fractal cats preferred to spend the day on the new shelf over the radiator. We have put their scratching post beside the shelf to make it easier for them to leap up onto when a chill strikes. My day was quite busy; the above-average FOTD was a matter of luck. The next FOTD will be posted in 24 hours. Until then, take care, and if the end of one thing is the beginning of some- thing else, what will follow the end of everything? Jim Muth jamth(a)mindspring.com START PARAMETER FILE======================================= PyrotechnicFractal { ; time=0:01:52.10-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=MandAutoCritInZ function=recip passes=1 center-mag=-21.352824077544/+0.6778222366/4216772/\ 1/1.7/0 params=0.11/100/1.1/1/0/0/0/0 float=y maxiter=1250 inside=0 logmap=-195 periodicity=6 colors=000A00D10E10D30E40G50I51K51M52O52Q52S53U53Y\ 43a44e44i44m45tA5zH5vA4r74o84j94gB4dC6aDAYEEVFISHM\ OIQLJUIKYFP_IWcL_gOckPgiQihRifSieTidUjbVjaWj`XjZYj\ YZkW_kV`kUakSblRcmQbnTdnZfndhrijvolztailSUdIFX56Q9\ 8NEAKJBHPDEUFB_K8cP5hU2lZ0pc0kh0cm0Si7NgDpJfpHgZRa\ I`WETQALK6DE359J4PY4ckFVxQM2zz8kzEecJ`_PVVVPQiQmgg\ stkFsdDrYBqR9pL7oE5n73m12h55c98ZDAUHDPLGKPIFTLBWNM\ NZXEig6tvrFkdS`RdQDpSHkUKfWOaXRYZVT`YOa`KdUX_Z_Vcb\ RhdMmgIriKnaLjVNgOOcHQ_ARX3YZAc_Hj`OpaVlWUiRTfMTcH\ S`CSZEPXGMVIJUJGSOLRTPPXTOaYMeaLjeKniIhgGbeEXcCSaA\ M_8GY6AW45VDCYLI_UOaaVdj`frfhseasdWscQsbJsaDsa7keE\ dhKXlRQoXIscBvi4yoEspNmqWgrdar`dsYfsVhtRjtOluLnuOb\ IEOUKSTQVSVYR`aQedPkgOpjOngQmdSlaUj_WiXYhU_gS`cUb`\ VdYWfVXhSYjPZlU`iYbgadefebjg`niZrjXs``tScuJfuAinJm\ gSp``sgTemLTbUSTbSOeSKgSFjSBlS6oS2qS8oTDmUIkVOiWTg\ XYeY_d``cbbbecage`if_lhZn } frm:MandAutoCritInZ {; 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)+(p4)), k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel): z=k*((a*(z^b))+(d*(z^f)))+c, |z| < l } END PARAMETER FILE=========================================

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FOTD 15-12-10 (Lucy Lucent [6])
by Jim Muth 14 Dec '10

14 Dec '10

FOTD -- December 15, 2010 (Rating 6) Fractal visionaries and enthusiasts: Today's image lies in the parent fractal that was created when I combined two negative parts of straight Z with one part of Z^(-2) before adding (1/C). I should say the image lies *near* the parent fractal, since the parent is a small, slightly distorted Mandelbrot set surrounded by much smaller and totally disconnected M-sets. Today's scene actually lies some distance northwest of the small but main body of the parent. I named the image "Lucy Lucent" for reasons unknown even to myself. I rated it at a 6 because, even though it has little fractal-math content, the striking colors raise it to FOTD status. Most of the effect came about when I applied the 'tdis' option to the original rather boring 'iter' image. The calculation time of 52 seconds sets no speed record, but it is brief enough to keep impatience at bay. And the finished image will soon be available at: <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> Eventually, it will be available on the original FOTD web site at: <http://www.Nahee.com/FOTD/> Lots of clouds, frequent flurries of snow and a temperature around 23F -5C kept the fractal cats close to their warm shelf most all day Tuesday here at Fractal Central, while the seasonal rush kept me close to the FC work desk. The next FOTD will be posted in 24 hours. Until then, take care, and you never know when the FOTD will be a real prize-winner. Jim Muth jamth(a)mindspring.com START PARAMETER FILE======================================= Lucy_Lucent { ; time=0:00:52.29-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=MandAutoCritInZ function=recip float=y center-mag=+0.1161003092660847/-0.1610893155094485\ /5.049423e+010/1/-127.5/0 params=-2/1/1/-2/0/0/0/0 maxiter=1500 inside=0 outside=tdis periodicity=6 colors=000`KG_KGZJGZJFYJFYIFXIEWIEWHEVHEVHDUGDTGDT\ GDSFCSFCRFCRECQEBPEBPDBODBODANDAMCAMC9LC9LB9KB9JB8\ JA8IA8IA8H97H97G97F87F86E86E76DU6C75c65B65B6cA5495\ 495484384A74K73U63c53U52K42A421311211211100100000j\ pwiovmourrtzzzrsrmnqejpd_pCTRDRSEPTFNUGKVHIWIGXIEX\ HKaHPeHUiHZmHcqIblJbhJadKa`L`XL`TM`PN_LN_HOZDPZ9PZ\ 5Sb4Vf3Xi2_m2ap1dt0fw0`o1Vh1Pa2JU2DN38G3AE4CD5DC6F\ B7HA8I99K8AM7BN6CP5DR4ES3EjxHgtGepGclF`hFZeFXaEVYE\ SUDQQDONDMJCJFCHBBF7BD4BG8AJBAME9OH9RK8UN8XR7ZU7aX\ 6d_6gb5ie5l`EnWNqRWsMduHmtPnsWnrbnqinppnownpxbpySp\ zHtoOxeUuaTsYTqUToQTmMTkJTjKUiLUhLVgMVfMWfNWeOXdOX\ cPYbPYaQZaQZC82zXvxTnvQgtN`rKTpHMnEFlB8kFDjIHiLMhO\ QgRUfUZeXbd_fcbkbeoahs`ep_bn__lZXjYUhYSfXPdWMbWJ`V\ GZVEXTDVSCURCSPBROBQNAOL9NK9LJ8KH7IG7HE6FD6EC5DA4B\ 94A838637525414000212101jQLiPKhPKhPKgOJgOJfOJeNJeN\ IdNIdMIcMIbMHbLHaLHaLH`KG } frm:MandAutoCritInZ {; 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)+(p4)), k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel): z=k*((a*(z^b))+(d*(z^f)))+c, |z| < l } END PARAMETER FILE=========================================

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Re: [Fractint] AOTD 12_10_2010
by JackOfTradeZ＠comcast.net 13 Dec '10

13 Dec '10

. Zoom animation of FOTD 12/10/2010 is posted: http://www.fractal-animation.net/vid/spacebubbles.zip stay cool .

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FOTD 14-12-10 (Fade-Out [5])
by Jim Muth 13 Dec '10

13 Dec '10

FOTD -- December 14, 2010 (Rating 5) Fractal visionaries and enthusiasts: Today's image is a scene in a Mandelbrot set that in its depths is starting to morph into a quintic set. The scene is located inside a minibrot on a stem of the star of the period-7 bud on the northwest shore line of the main bay of its Mandelbrot parent. The image is filled with both minibrots and antiminibrots, which are a bit tricky to tell apart at a casual glance. I named the image "Fade-Out" because of the way the upper part of the image appears to fade into the mist. The rating of a 5 is conservative. The actual rating might be closer to a 6. I leave it to the individual fractalist to decide whether the finished product is worth the calculation time of 7 minutes. For the convenience of those who do not calculate, the finished image should soon be available on the web site at: <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> My own web site is still in the planning stage. The entire catalog of past FOTD images is available on the original FOTD web site at: <http://www.Nahee.com/FOTD/> A mix of sun and clouds, a biting northwest wind and a tempera- ture of 25F -4C made Monday a rough day to be outdoors here at Fractal Central. The fractal cats spent a good part of the day lounging on their new shelf by the heat, though they did get up several times to go to their window shelf to check that things were under control outside. My day was busy; FL's day was the same. The next FOTD will be posted in 24 hours. Until then, take care, and do it with style. Jim Muth jamth(a)mindspring.com START PARAMETER FILE======================================= Fade-Out { ; time=0:07:11.21-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=FinDivBrot-2 function=recip passes=1 center-mag=-0.657357075207177/+0.4680315673679433/\ 6.384688e+011/1/47.5/0 params=5/2000000.0/0/0 float=y maxiter=10000 inside=255 logmap=114 colors=000zzyzzxzzwzzvzzuzztzyszyrzyqzypzyozxnzxmz\ xlyxkxxjwwivwhuwgtwfsvervdqvcpvbovanv`mv_lvZkuYjuX\ iuWiuTitQhtMisNisNirOjrOjqOjqPkpPkpPkoQlnQlnQlmRlm\ RmlRmkSmkSnjSnjTniTohTohUogUogUpdSpbRq`PqZOqXNrULr\ SKsQJsOHsMGtJFtHDuFCuDBuB9v88v67w45w24w03u25s36q48\ o59m6Bk7Ci8Dg9FeAGcBIaCJ_DLYEMWFNUGPSHQQISOJTD2PKZ\ 8KY8KY8KX8KW8JW8JV8JU8JU9JT9IS9IS9IR9IQ9IQ9IP9HO9H\ O9HNAHMAHMAGLAGKAGKAGJAGIAFIAFHAFGBFGBFFBFEBEEBEDB\ ECBECBEBBDABDACD9CD8CD8CC7CC6CC6CC5CC4CC4CB6EB7GB8\ HA9JABKACM9DN9EP9GQ8HS8IT8JV7LX7MY7N_6O`6Qb6Rc5Se5\ Tf5Vh4Wi4Xk4Yl5Xm6Xm6Xm7Xm8Xm8Xn9WnAWnAWnBWnBWnCWo\ DVoDVoEVoFVoFVoGVpGVpHUpIUpIUpJUpKUqKUqLTqMTqMTqNT\ qNTrOTrPSrPSrQSrRSrRSsSSsSSsTRsURsURtVRtWRtWRtXQtY\ QtYQuZQuZQu_Qu`Pu`PuaPvbPvbPvcPvcPvdOveOweOwfOwgOw\ gOwhNwiNxiNxjNxjNxkNxlMxmMymKznKzoKzpKzqKzrKzsKztK\ zuKzvKzwKzxKzyKzzKzzKzzKz } frm:FinDivBrot-2 { ; Jim Muth z=(0,0), c=pixel, a=-(real(p1)-2), esc=(real(p2)+16), b=imag(p1): z=(b)*(z*z*fn1(z^(a)+b))+c |z| < esc } END PARAMETER FILE=========================================

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FOTD 13-12-10 (Moth-Eaten Fractal [7])
by Jim Muth 12 Dec '10

12 Dec '10

FOTD -- December 13, 2010 (Rating 7) Fractal visionaries and enthusiasts: Today's image lies in the parent fractal that results when 1.6 negative parts of Z^3 are combined with 2.4 negative parts of Z^2 and C is added on each iteration. The resulting parent fractal is a Mandelbrot set with some extra stuff added mostly along the X-axis. Today's scene lies in some of this extra stuff that is just starting to sprout along the positive X-axis. The rating of a 7 might be a bit liberal. The image really is a bit too chaotic and the colors too disorganized for maximum effect. But I kind of like it anyway, with its preponderance of grays, so the rating of 7 will remain. The name "Moth-Eaten Fractal" came about when I realized that the thing was full of holes, like an old woolen sweater than has hung in the closet too many months with no moth repellant. The calculation time of over 22 minutes is admittedly slow, but may be cut to 14 minutes by rendering the image with the passes set to 'g'. Doing so however will cause some loss of accuracy. To avoid all calculation, check the web site at: <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> where the finished image should soon be posted. The original web site, complete with almost 14 years of FOTD's is still located at: <http://www.Nahee.com/FOTD/> but the last time I checked, it was not up to date. The temperature reached a mild enough 50F 10C here at Fractal Central on Sunday, but a steady rain fell all day, spoiling the brief respite from the chill. The fractal cats seemed uncon- cerned. We are installing a shelf over the large radiator in the hallway, where they can leap any time they wish and be as warm as a cat by an open fire. If all goes as planned, the next FOTD will be posted in 24 hours. Until then, take care, and be lively. Jim Muth jamth(a)mindspring.com START PARAMETER FILE======================================= Moth-Eaten_Fractal { ; time=0:22:37.71-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=MandAutoCritInZ function=ident passes=1 center-mag=+0.69362781933042/+0.01361539169399/3.0\ 909e+010/1/147.5/0 params=-1.6/3/-2.4/2/0/-97.5/0/0 float=y maxiter=8000 inside=0 outside=imag logmap=1235 colors=000UUUGa08J0zsBz_8m06NM4BB2sXtgQhXJYMDMB6BA\ cp8We6OV4GL28Al6Cc5AW48O36z24812jwrNUR5VLcaVWUOOMI\ GFC876PY5KS4mM3CH28B1450GnyzaizPVzCFzc5z74zz3z326z\ 1zHzzz9zG4zzizVYzzNzABzz2zK1zzSzlNzzIzTEzz9z94zztz\ YjzzazKSzzJzz9zvnzzYzJHzzTzWNzzHzGBzz5zAnzzcz6UzzK\ z2AzzdzzZCBT99N76H44B225_ZCRQ9IH6983PjwLdoIZhFT`CN\ U9HM6BF357_OkOGWC8GJnPCYG6H8zR1mL0`G0PA0C50`qBWj9R\ c8NX6IR5DK49D246115e03S01EjCmN6PkkXaaQSSJJJD9964Uu\ 3Mf2FT17ELHKA8A6Bt48e35S12EnSpYIZH9HlDm_9`O6PC3CTp\ uNeiHVYBLN5AB8i86a65U54N42F21712Uu1Oi1IY0CN06BjzEH\ ttDhhAYY6MM3BBgQ8ZK6QF4HA3851GDO86Cccc5J8PGnC8Pgma\ afXX`SRVNMPJGIEBC9564vuSgfLTTEEE76zX4mQ3`JzK01C6Ad\ BuiFTN7CxhWZyOQiGHV88FRDSNBOJ9KF7GB5C738314sq_zczz\ RzzDzzLzzFzzAzz5zzgzz`zzVzzPzzczzVzzczzMzzczzGzzcz\ zWzzZzz`zzbzzdzzWzzNzzFzzFzzczzczzczzczzczzczzczzc\ zzczzczzczzczzczzczzczzcz } frm:MandAutoCritInZ {; 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)+(p4)), k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel): z=k*((a*(z^b))+(d*(z^f)))+c, |z| < l } END PARAMETER FILE=========================================

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<Tim, Rich> DOS Fractint's img&txt vis inWinXP's DOSmode; Rich's FractintForWinBeta5
by Hal Lane 12 Dec '10

12 Dec '10

Tim, > ...under Windows 7 in XP compatibility mode, if I set > "tools->disable integration features", running the DOS > fractint shows nothing, but after pressing F3, a fractal > is indeed generated. I can get both images & text to appear in Win XP's DOS mode, but apparently my video card only does one VESA graphics mode, 640 x 480 -- as well as the needed text mode. I then set "High" Idle Sensitivity on the shortcut and use <alt>Enter to switch back and forth between full screen and windowed Fractint. I can only make this switch without disrupting Fractint if the program is in text mode, so I can't leave an image calculating in a window while I (say) read email. To get around this, I first "locate" my fractal in my one working video mode & then calculate it in Disk Video mode -- which keeps Fractint in text mode. Fractint's intense CPU usage leaves a very sluggish computer, though. > Hard to use, though, without any text screens showing. I hope the problem is not your graphics card not implementing the needed DOS text mode... Can you run another text only DOS program to see if your problem of no DOS Fractint text is reproducible in another DOS program? Can Chkdsk still be run at boot time in DOS mode in Win7 or is "DOS mode" gone -- and not available to test your graphics card's being able to enter a DOS text mode? BIOS Setup routines have, in the past at least, likely used DOS text mode. What are they using these days? Are there docs available describing the video modes available on your graphics card? It's my understanding that it's primarily the video card/chip companies no longer implementing many DOS modes in graphics cards being the problem with getting DOS Fractint to run on recent computers... > Hmmm, might be possible to run a PAR file from the command > line. That sounds like a possibly workable scenario. > Of course Rich's windows version does work nunder Windows 7 > (albeit without mouse support). I've found that I can move the cursor around (when in Palette Editing mode: "e") using <ctrl> and arrow keys, but this really isn't as convenient as using a mouse. Rich, Tim, When using Rich's Fractint for Windows beta 5 to render Jim's FOTD, I have found a couple of items that give me a problem, only one of which I can overcome. The X dimension of every fractal calculated from Jim's parameter files is stretched too wide. By trial & error I found that reducing the X Magnification Factor by a factor of 0.75 (z, F6), can reproduce the aspect ratio of the same image calculated by DOS Fractint. Another problem (that I've *not* been able to overcome) is that the program always creates a single color image for any fractal that uses the MandelbrotBC3 formula. Amazingly, the almost identical MandelbrotBC1 and MandelbrotBC2 formulas produce correct images. This fact may be of some help in locating the source of the problem. The examples of Jim's FOTD that I used to discover this behavior are listed below my signature. Also, images created using the rotation of the zoom box behave in a different way than the DOS zoom box. This may, in part at least, be related to the different X Magnification Factor factor of 0.75 . Jim's FOTD for Dec. 4th, 2010 (a "native" Fractint Julia fractal) rendered in Fractint for Windows beta 5 also doesn't quite match the one created by DOS Fractint. I pasted a copy of Jim's PAR file for this fractal at the end of this email. Rich's excellent post to his blog about the philosophy of his creation of Fractint for Windows is here: http://legalizeadulthood.wordpress.com/2007/04/13/fractint-for-windows-beta- 5/ or: http://tinyurl.com/richs-fractint-for-win-blog There is also a //download link// and the comments section includes a link to where you can register and //post issues// you have with the program. - Hal Lane ######################### # hallane(a)earthlink.net # ######################### ############################################################ ############################################################ http://www.nahee.com/FOTD/FotD_02-02-02.html http://home.att.net/~Fractals_2/FotD_02-02-02.html The formula behind the image is a very simple one -- Z^2.003+C, made more interesting by displaying the part of the infinite fractal that lies 1029 turns up the logarithmic hyperspiral. At this lofty height, the parent fractal resembles the Mandelbrot set rotated 180 degrees, so that the split along the negative X-axis cuts the East Valley area, which at the same time begins to broaden. ---------------------------------------------------- MandelbrotBC1 *Works* in Fractint for Windows beta 5!!!!! ---------------------------------------------------- START 20.0 PAR-FORMULA FILE================================ The_Primary_Colors { ; time=0:15:14.28--SF5 on a P200 reset=2002 type=formula formulafile=allinone.frm formulaname=MandelbrotBC1 function=floor passes=1 center-mag=-0.26445764184686160/-0.003322320467831\ 68/1.109666e+011/1/-42.5037/0.00146395122998561888 params=2.003/0/1029/0 float=y maxiter=6000 inside=0 logmap=298 colors=000XOjZRjaSibRidUgfUgiXfjbfmidom\ drtbtzbvzbtrZtfUrOPqIMr6Ir0Ds0At3Cv9DxFDzFFzKFyJLu\ MPpOWmS_ZZdSdjOloIrvCyz8zzCtzFjzIayLSwOIoR9hU0bX0W\ U0NR8TOGZLOcIWKFdLClF9vA6z6cz11w80nD0XJ0LP09W08_09\ X09U1AR3AO4CL6CI4FD4IA4J64M34O0CGFI9UO1iU0y_0zZ0zX\ 0zX0zW0zU0wU1tS4qS6mR9jPCgPDdOGbOI_MLXLOULPRJSOJUL\ IXIG_FGaCFd9Ff8CZS9Rm8JzLJzXCyR0tC0o00S00U00U00U00\ W00W00W00W00X00X00X00Z00Z00Z00Z13X1AX3IW3PW4RU4RU6\ RS6RS8RR8RR9RUARXARZCRaCRbDRfDRiFRjFRmGRoIRrIRvJRw\ JRzLRzLRzMRzMRzORwOOtMLqKInIFkGChE9fC6fA4f82i60l40\ o40r40v40y30z30z30z30z30z30z30z40z40z40z43z46z48z6\ Az6Cz6Fz6Iz6Jz6Mz8Oz8Rz8Uz8Wz8Zz8_z9Zz9Xz9Xz9Wz9Uz\ AUzASzARzARzARzCRzCRzCRzCRzCRzDRzDRzDRzDRzDRzDRzGR\ zIRzJRzLRzORzPRzRRzSRzURzWRzWRzWRzWRzWRzWRzWRzWRzW\ RzWRzWRzURzURzURzSRzSRzSRzSRzRRzRRzRRzPRzPRzPRzPRz\ ORzORzORzMRzIRzJRzLRzORzPRzRRzSRzWRz } frm:MandelbrotBC1 { ; by several Fractint users e=p1, a=imag(p2)+100 p=real(p2)+PI q=2*PI*fn1(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================================== ############################################################ ############################################################ http://www.nahee.com/FOTD/FotD_06-08-29.html http://home.att.net/~Fractals_3/FotD_06-08-29.html Today's harmless little scene appears in the Z^sqrt(sqrt(2))+C Mandeloid as it appears 59 levels up the complex logarithmic ladder. (The logarithmic ladder is explained below.) . . . The 'complex logarithmic ladder' is a phrase I invented. I sometimes refer to the same thing by the name 'logarithmic hyperspiral'. Neither phrase will be found on the internet. I invented the phrases because the complex logarithmic function is multi-valued, and can have an infinity of solutions. Each solution gives a unique four-dimensional Julibrot fractal, complete with both Mandelbrot and Julia slices. In my mind, I simply stacked these four-dimensional fractals onto one another until they formed a single many-layered hyper-object of 5 or so dimensions. It is the stack of all the Julibrot fractals possible to create with a single exponent of Z that I call the logarithmic ladder. Today's parent fractal for example exists on the 59th level of this ladder. The ladder could perhaps be more conveniently thought of as the 59th floor of an infinitely tall skyscraper. In the MandelbrotBC2 formula, the p1 parameter determines the exponent of Z, while the p2 parameter determines the level of the ladder we wish to explore. ---------------------------------------------------- MandelbrotBC2 *Works* in Fractint for Windows beta 5!!!!! ---------------------------------------------------- START PARAMETER FILE======================================= TheyAllLookTheSame-2 { ; time=0:18:51.96--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotBC2 passes=1 center-mag=-0.13962249185463330/-0.000766113336763\ 77/5.149203e+007 params=1.1892/0/59/0 float=y maxiter=25000 inside=0 outside=tdis periodicity=10 colors=0000Gz0Gz0Gz0Gz0Hz0Hz0Hz0Hz0Jz0Jz0Jz0Jz0Jz0\ Lz0Lz0Lz0Lz0Nz0Nz0Nz0Nz0Pz0Pz0Pz0Pz0Nz0Pz4RzARzETz\ JVzNVzTXzXXxbVxeVxkVxoTxuTxxTxzRxuRsmRmeRg`PbTNXLN\ TEJN8HH0HC0J60L00L00N00U00V00W00X00Y00Z02_06`08a0C\ b0Ec0Hd2Ji2Nm2Pq2Tu2Vv2JuAAqH0oN0bV0Td0R`0RZ0PX0PV\ 0NR0NP0LN0LL0JH0JG0HE0HC0H80G60G40E20E00C02C04A04A\ 0680880A608806A04C04C02E00G00G00H00J00J20L40N60N80\ PA0RE0zG0TH0VJ0XL0XN0ZP0`T0`V0bX0dZ0d`0eb0gd0ge8uJ\ ez0gz2iz6kxAmvEmuGosJqoNsmRskVuiXvg`xedxbgz`kzZmzX\ qzVuzTxzPzfNzzLzzkzzHzzGzzkzzgzzEzzEzzEzzEzzEzxEzv\ EzuCzqCzoCzkCxiCueCsdCq`CoZAmzAkTAgRAezAdLAbHA`GAZ\ EAXzC`LEbPGeRGgTEeTEdzEdTEbTEbTE`TE`TEZTEXTEXTEVTE\ VTETTETTERTEPTEPTENTENTELTELTEJL0LTEJVdC`gHdkNgoRm\ sXqvbuzexzkzzqzzuzzzzzzzzvzzqzzizxdzsXzoRziJzeEudX\ kbo``zR`zTbzTdzVezVezXzzXizXizZkzZmz`ox`ovbqubsqbs\ odumdziexgexe0Ez0Ez0Ez0Ez } 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 PARAMETER FILE========================================= ############################################################ ############################################################ http://www.nahee.com/FOTD/FotD_09-09-23.html http://home.att.net/~Fractals_3/FotD_09-09-23.html Today's image is a scene on the infinitely fractured main negative stem of the Z^(2.001)+C Mandeloid as it appears at ground level of the logarithmic ladder when no function is applied. The precise location is in the East Valley of the large minibrot on this fractured stem. ---------------------------------------------------- ---------------------------------------------------- ---------------------------------------------------- MandelbrotBC3 ***Fails*** in Fractint for Windows beta 5!! ---------------------------------------------------- ---------------------------------------------------- ---------------------------------------------------- START PARAMETER FILE======================================= AgitatedIterations { ; time=0:01:33.85-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=MandelbrotBC3 function=ident logmap=168 center-mag=-1.748190276984/+0.019122558784/5e+007/1/\ -105.5/0 float=y inside=0 maxiter=1750 periodicity=10 params=2.001/0/0/0 colors=000UJdTIcSHbRGaQF`PE_ODZNBYM9XL7WK5VE0U90T3\ 0P00K00F00A005000000000000000000gW7jV8lU9oTAqSBtRC\ vQCpXGkcKejO`qRbnPdlOfiNhgLjdKlbJm_HoYGqVFsTDuQCwO\ BxMAsz7nz4kv8hr8fo8dl8bi8`f8Yc8W`8UY8SV8QS8OP8NNDN\ LPMJUMHZLFcLDhKBmKKrJNzJUzIZzIYzMRvPNrT9nWBi_DfbFc\ fH_iJXmLUpNQtPNwRKvQLvPLuOLuNMtMMtLMsKNsJNrINrHOqG\ OqGOsMPuSQwXRybSzgSj_ZWSdVReVQeVPeVOeVNeVMfVLfUKfU\ JfUIfUHgUGgUFgUEgUDgRFcOG_LIWJJTLLUNMVPOVRPWTRWVSX\ WTXYVY_WZaYZcZ_e`_ga`hb`lUeoLjrCnnIkjOhgTecZb`d`Xi\ YUoVQuSNzQcxJtwCqvEnuFkuGitHfsJcsKarLZrMWqOUpPRpQO\ oRMnTJnUGmVEmWCsbAxhCwiEwjFwkHwlIvmKvnMvoNvpPuqQur\ SusTusPppMkmIfkFahBXe8Sc4N`1IZ6P`BVbG`dKffPlhUrjYx\ lawcevWiuNltFmqHmnJnlLniNngPodQocSodUpeWpfYpgZkhYf\ iXbjXYkWUlWYmV`nVcoUgpUjqTmrTjsVgtXduZbv`_wbXxdUyf\ SzhUziWzjXzkZzl_zlazmczndzofzpgzpezqdzrczrazs`zs_z\ tZztXzuWzuVzvUzvSzwbz6dz6 } frm:MandelbrotBC3 { ; by several Fractint users e=p1, a=imag(p2)+100 p=real(p2)+PI q=2*PI*fn1(p/(2*PI)) r=real(p2)+PI-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 PARAMETER FILE========================================= ############################################################ ############################################################ ############################################################ ---- Tim wrote: --------------------- Author: Tim Wegner Date: 2010-12-11 17:10 -500 To: Fractint and General Fractals Discussion Old-Topics: [Fractint] FOTD 11-12-10 (The Midas Untouch [7]) Subject: [Fractint] Windows 7 64 bit For what it's worth (not much other than as a curious fact), under Windows 7 in XP compatability mode, if I set "tools->disable integration features", running the DOS fractint shows nothing, but after pressing F3, a fractal is indeed generated. Hard to use, though, without any text screens showing. Hmmm, might be possible to run a PAR file from the command line. Of course Rich's windows version does work nunder Windows 7 (albeit without mouse support). I have done very little with virtual machines. Just for my education I might try installing DOS or Windows XP itself under Virtual PC, or maybe VirtualBox. (later) Guess what, I tried Winfract (Jonathan's 16 bit version), and it does work, apparently just fine, on Windows 7 64 bit in XP compatability mode! This time the "enable integration features" setting didn't matter. Even the mouse works ... Tim ---------------------------------- ##################################################################### ##################################################################### ##################################################################### Jim's FOTD for Dec. 4th, 2010: 1/4_of_the_Pie { ; time=0:02:31.55-SF5 on P4-2000 reset=2004 type=julia passes=1 center-mag=0/0/1137\ 532/1/143/0 params=0.2983562075159729/-0.018519436\ 2269525 float=y maxiter=60010 inside=0 outside=imag logmap=-54679 periodicity=0 colors=000dBCdABe9Be9BhABjBBlCBnDBpEBrEBsJEsOGsTIt\ YKtaMtXPuaRufTulVzhXzdUtdSs`QsWNrSKrOJqJGqFEpBCp7A\ lADiDGfEJcGL`HOYJRVLKTHGSDDQ99P56O13R27U3AW4DZ5G`6\ Kc7Ne8Qh9TkAWmB_pCbrDeuEhwFkrHgmJdhL`cNYZPVURRPTOK\ VKFXHAZED`FGbFJdFMeFPgFRiFUkGXlG_nGbpGerGgsGetJdtM\ ctPbuS`uV_uYZv`YvcXvfWrgVnhUkhTgiScjR`jQXkPTlOQlLQ\ kJQjGQjEQiBQh9Qh6Qg4Qf2Qf4Ng6Lh7Jh9HiAFiCDjEBkF9kH\ 7lI5lK3mL1mqGYlH_hI`cJa_JcVKdRLeNLfUOa`QYfSUmVPtXL\ zZHrhhocilZjiVkfQlcLm`HnYCoV8p`RffiXhh_jgalfdmefod\ hqcksbmtaov`rx_ty_vtcoofhkjafmVbpOdnPflQgjRihSjgTl\ eUmcVoaWp_XrZYsXZuV_vT`xRayQbsMfnIjhEmcAqY6uT2xW5s\ Z8naBidEdgH_jKVmNQoQLnUPnXSn_VnbYmeamhdmkgmnjjjigg\ iedibai`ZiYViWSiTPiQMiOJiLFiJCiG9iE9iBFU99WAEYAJ_A\ OaAXcfaClbHrbMsaKt`It`Hu_FvZDvZCpOOjDZcHXXLWROVKSU\ DWT7ZSmQ1kR2jR3hR4gR5fR6dR7cR8bR9dYLedX0lP8nUFpYMr\ aTtf_vjfxnmzrhsdclSZeEU_1 } -----

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FOTD 12-12-10 (Grated Remnants [7])
by Jim Muth 12 Dec '10

12 Dec '10

FOTD -- December 12, 2010 (Rating 7) Fractal visionaries and enthusiasts: As expected, an unplanned shopping trip arose by surprise on Saturday, which kept FL, (and myself also to some degree), occupied most of the day, exploring the Susquehanna Mall, a place that I always avoid assiduously. But thanks to provi- dence, (whatever that is), the task was eventually completed, and we found ourselves back at FC before daylight failed. This left enough time to find a respectable but not quite outstanding fractal, but not enough time to finish the discussion. The generating formula is total whimsy. I took eleven negative parts of Z^(-1.1) and combined them with 1.1 negative parts of Z^(-11) before adding straight C. The parent fractal is a most unpromising thing -- an oversized open oval with a small blob and a small wedge floating in its center. But the wedge is full of detail, and a quick search led me to today's scene, which lies in a more chaotic area of the wedge. I named the image "Grated Remnants". The texture of the eight obvious features surrounding the central minibrot reminds me of a kitchen grater. I rated the image at a 7, which is kind of a FOTD standard. The calculation time of 8-1/3 minutes could cause a bit of fidgeting among those with too many other things to get done. To prevent fidgeting, the finished image will soon be available at: <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> (But the last I heard, the site at: <http://www.fractal-animation.net/fotd2.zip> was no longer being kept up to date.) I do not know what the situation is at the original FOTD web site at: <http://www.Nahee.com/FOTD/> I have not heard from Paul in several weeks, though I continue to send the finished images to him. A mix of clouds and sun and a not-too-chilly temperature of 39F +4C made Saturday a near-average mid-December day here at Fractal Central. The fractal cats must have agreed, for when we returned from the shopping, we found them waiting in the window. After surviving the shopping, I had a day that was acceptably uneventful. The next FOTD will be posted in 13 hours or so, but with no promises made as to the quality of the fractal. Until then, take care, and if seven is lucky and thirteen is unlucky, what happens if you combine them and come up with twenty? Jim Muth jamth(a)mindspring.com START PARAMETER FILE======================================= Grated_Remnants { ; time=0:08:22.68-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=MandAutoCritInZ function=ident passes=1 center-mag=+0.16182984183858/+0.29257778317738/\ 4.2912e+009/1/165/0 params=-11/-1.1/-1.1/-11/0/525\ /0/0 float=y maxiter=3600 inside=0 logmap=522 colors=000B0SC1TD6UE3VF9WG7XHCYIBZIF_JG`KI`KKaLKbM\ KcMKdNKdOKeOKfPKgQKhQKhPKeOKdOK_NK`MKVMKYLKPKKMKLJ\ JJHIHEIFBHD8HB6GD9GFCGHFGJIGKKGMNGOQGQTGRVCKa9Dh66\ o30v57r7Dn9JjBQfDWbFaZHhVJnRLtNNzKUyRizYfxctwjsvqy\ vwvtrvuorqirrfmn`kmWikRgjNdhIbgE`e9Zd5X`7VY8TV9RRA\ POBNLCLHDJEEHBFF8GDBECEDAHC9JB7MA6P94S83U79SVFQrIP\ sMPsPPsVPsSOtUOtVOtaOtcNu_NuaNuZNu_Nu_OrVPoLQlGRjB\ Sg6Td1Ub5XX9ZRDaLHcFKeAJg9Ih9Hi9Gk8Fl8Em8Do8Dp7Cq7\ Bs7At79u68w67x67y6EjRLXkJSmHNoFIqDDsC8uKvXBwf3xo6v\ h9ubBtXEsQHrKJqEQbDXOCc9CU9IK9NA9S09X2DX4HX5LX7PX8\ TXAXXB`Xkd6dY4ZR3TIENAPI2ZRKYZ`XfqW7glceeccZmaSm`L\ zZEzc7zm0zcUzXwmUdmRNcP5HJFLEPO9YLD`JGbGJdEMfBQi9T\ k6Wm4ZoCihKsaJlVIeOHZHGSAGL4MMYRMzSKySIxSGxTEwTCvT\ AvQEvOIvMLvKPvISvGWvEZvIVmLReOmYRmPUmHXm9WmGWmNWmT\ cmdjmpEwFFwDGwCHwBKzDNzFPzHSzJUzKXzLzzMzzMzzNzzNzz\ Ozzzzzzzzzzzzzzzzzzzzzzzz } frm:MandAutoCritInZ {; 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)+(p4)), k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel): z=k*((a*(z^b))+(d*(z^f)))+c, |z| < l } END PARAMETER FILE=========================================

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FOTD 11-12-10 (The Midas Untouch [7])
by Jim Muth 11 Dec '10

11 Dec '10

FOTD -- December 11, 2010 (Rating 7) Fractal visionaries and enthusiasts: Today's image takes us back to the MandAutoCritInZ formula, still the most productive formula in my oversized and underused collection. I named the scene "The Midas Untouch" because sometimes every fractal I find seems to turn to lead. Most of the effect of today's image is due to its coloring. The sinuous bands that hold the golden colors were created by rendering the scene with the outside set to 'tdis'. The rather unlikely generating formula combines 8.4 parts of Z^(-2.2) with 17.5 parts of Z^(-5.2) then adds (1/C). The par- ent fractal is a shapeless thing with a large but disconnected minibrot just southwest of the main body of the fractal, which is one of the most twisted minibrots I have yet come upon. Today's scene lies in the East Valley area of this minibrot. The rating of a 7 makes the 47-second calculation time a bargain. Other bargains may be found at the following web sites: <http://www.fractal-animation.net/fotd2.zip> <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> <http://www.Nahee.com/FOTD/> where the finished image soon will be posted. Clouds moved in just after sunrise and hung tough here at Fractal Central the rest of the day on Friday, tough enough for about 1/2 inch, 1cm of snow to fall in the afternoon. The temperature rose from 16F -9C at sunrise to 30F -1C in the afternoon, assuring that the small snowfall made things slippery. The fractal cats grew bored watching snowflakes after a half hour, and spent the rest of the afternoon in a warmer location. My day was quite busy trying to clear away a lot of little nuisance jobs. The next FOTD is due in 24 hours, but with the holiday rush near its peak I will give no guarantee that it will be ready on time. Until whenever, take care, and . . . . Jim Muth jamth(a)mindspring.com START PARAMETER FILE======================================= The_Midas_Untouch { ; time=0:00:47.90-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=MandAutoCritInZ function=recip center-mag=-0.704523766169/-0.703511014168/6e+007/\ 1/100/0 params=8.4/-2.2/17.5/-5.2/0/0/0/0 float=y maxiter=2700 inside=0 outside=tdis periodicity=6 colors=00000N00H55BAACFFCKKCPPCUUCZZCccChhCmmCrrCv\ vCzzCGiCIlCJoCFgOC`Z8Tj5Mu1Is0Fr0Cp09o06m03l00k0Gh\ 0We0kb0lZ1lW9mSHmPPnLWnIToLQoNOoPLoRJoTGoVEoXBzZ8p\ a6pc3pe1pg0piVpkppm0po0mp0kp0ip0gp0ep0cp0ap0_p0Yp0\ Wp3bhFi`QpULiZGcbBYg6Sk1Mp0Gt0Ax0Du0Fs0Ip0Kn0Mk0Pi\ 0Rf0Ud0Wa0Y_0`X0bV0dT0eOAfKRfGPcENaDL_CJXBIVAGT9EQ\ 7CO6BM59J47H35F24D13F62HA1JE0LJ0NN0PR0RW0T_0Vc0Xh0\ Zl0`p0at0bl0ce0dZ0eS0eQ0eO0eM0eL0eJ0eH0eG1bJ4_M6XO\ 9URCSUEPWHMZmU`MHcPEfRBhU8kW6m6Ro0jq0lp0mp0np0po0q\ o0ro0tn0unmvn0tk0sh0qfmpc0n`1mZ5kW9jTDhRHgOLeLPdJT\ bGXaEWeNViWVldUpmUsuVmnVhhVbbWYWWSQWNKXHDXC7X71VA3\ TD5RG7PJ9NMBMODKRFIUHGXJE_LDaM4WJ0QH0LF0YK0jP3wU2w\ T2wT1wT1wT0wT0wT0wT0wT0wS0wS0wS0wS0wS0wS0wS0wSBl30\ TN0UR0UU0VX0V`0Vc0Wf0Wj0Xm0XpGEK3Uo6Rk8OhBLdDIaFFY\ HCUI9RK6NK3KJ5LH7LH9MHBMHDNHFNHGOHHOHIMGILGHLGGKGF\ JGEGGDFGCDGACG9A61d41Z21T } frm:MandAutoCritInZ {; 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)+(p4)), k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel): z=k*((a*(z^b))+(d*(z^f)))+c, |z| < l } END PARAMETER FILE=========================================

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FOTD 10-12-10 (Trapped in a Bubble [7-1/2])
by Jim Muth 09 Dec '10

09 Dec '10

FOTD -- December 10, 2010 (Rating 7-1/2) Fractal visionaries and enthusiasts: Today's image takes us back to the center of the largest bubble in the December 07 image. After a bit of exploration in the bubble's depths, I found a not-totally-unexpected minibrot sur- rounded by smaller bubbles. Since the image lies inside a much larger bubble, from which it can never be removed without being changed into something else, I named it "Trapped in a Bubble. Today's image shows a minibrot with zigzag filaments shooting off in all directions and terminating in smaller bubbles. The smaller bubbles of course are filled with still smaller bubbles, etc. etc., down to the infinitesimal. As the meditating hermit on the mountaintop told the weary pilgrim seeking truth, it's turtles (in this case, bubbles) all the way down. The rating of a 7-1/2 is far enough above average to make the calculation time of 7 seconds a real bargain. I could have rated the image higher, but the main point of the image is the coloring, and today's coloring trick worked its magic three days ago. Something three days old is never as good as when it was fresh. There is an alternative to running the parameter file and wait- ing several minutes, and that is to check one of the following web sites for the finished image. <http://www.fractal-animation.net/fotd2.zip> <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> <http://www.Nahee.com/FOTD/> Even though winter is still 12 days off, Thursday was a typical midwinter day here at Fractal Central, with partly cloudy skies, brisk biting winds, and a temperature that rose from a low of 21F -6C to a high of 32F 0C. The fractal cats appear to have settled in for the long haul of chilly conditions. My day was quite busy, which is both good news and bad. But the next FOTD will be posted in 24 hours, and that is certainly good news. Until next time, take care, and I doubt that anything truly supernatural or paranormal exists, but I believe that a vast number of unknown things such as ghosts and telepathy do in fact exist, and when, if ever, they are recognized by science, the natural world will be expanded to include the 'paranormal' things, which will then be seen to operate by perfectly natural laws. Jim Muth jamth(a)mindspring.com START PARAMETER FILE======================================= Trappd_in_a_Bubble { ; time=0:00:07.08-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=MandAutoCritInZ function=recip float=y center-mag=-4.869604058196/+10.91879372671/3029232\ /1/62.3/0 params=-20/-5.2/-22/-1.2/0/125/0/0 maxiter=500 inside=0 logmap=29 periodicity=0 colors=00000NGAO00PFAR00RFBU00TFDX00VEF_00XGIb00ZH\ Le00`HQi10bNTm32d_cz84fXmzD6gcrzI8imvzNAjzzzSFkzzz\ XKmb_naPngaofUplcpkZqqeuocrshsqfsuitriqvkouklvljvm\ gvnevnbvoavoYvqWvpTvrQvqOvsMvsJvsHvtEvtMwuHwvMxwRx\ xWyy`yzeyzixyjwykwykvyluymuymtynszoszorzprzpqzqpzr\ pzrozsnztnztmwumzujzqhznfzkdzhbze`zbZz_XzXVzUmzzzz\ zmzzmzzmzzmzzmzzmzzmzzmzzmzzmzzmzzmzzmzzmzzmzzmzzm\ zzmzzmzzmzzmzzmzzmzzmzzizznzzrzzvzzzzzvzzmzzmzzmzz\ mzzmzzmzzmzzmzzmzzmzzmzzmzzmzzmzzmzzmzzmzzmzzmzzmz\ zmzzmzzmzzmzzmzzmzzmzzmzzmzzmzzmzzzzNzzNzzOzzOzzPz\ zPzzQzzQzzQzzSszTqzUozWmzXkzYiz_gz`rzarzcrzdrzerzg\ rzhrzirzkrzlrzmrzlrzkrzjrzirzhmkgzkfzmezmezmdzmczo\ bzqazs`zt_zuZzvZzwYzxXzyWzzVzzUzzTzzSzzSzzTzzUzzVz\ zWzzXzzYzzZzz_zz`zzazzbzzczzdzzezzfzzgzzhzzizzjzzh\ zzgzzezzdzzczzazz`zzZzzYmzXzzVzzUzzSzzRzzQzzOzzNzz\ LzzKzzJzzIzzHzzHzzGzzGzAM } frm:MandAutoCritInZ {; 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)+(p4)), k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel): z=k*((a*(z^b))+(d*(z^f)))+c, |z| < l } END PARAMETER FILE=========================================

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FOTD 09-12-10 (The Galactic Halo [7])
by Jim Muth 08 Dec '10

08 Dec '10

FOTD -- December 09, 2010 (Rating 7) Fractal visionaries and enthusiasts: In today's image we take a trip to the northwest ring of the parent fractal of 2 days ago, where we check deep into the convergence on the southwest side of the ring. The scene we find there is rather harmless. I named it "The Galactic Halo" even though the actual galactic halo is made up of globular clusters instead of fractal rings. (But then, could globular clusters be merely a different aspect of fractal rings.) The rating of a 7 is close to average. The rating might have been a half-point higher if the colors did not remind me of stuffed olives, the most disgusting food I ever tried to eat. The calculation time of under three minutes should bring fidgety impatience to no one. Those who dislike running parameter files can try one of the following web sites, where the finished image will soon be found. <http://www.fractal-animation.net/fotd2.zip> <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> <http://www.Nahee.com/FOTD/> Before long, my own web site should be added to the above list. Brisk winds, scudding clouds, snow flurries, a little sunshine and a high temperature of only freezing made Wednesday here at Fractal Central less than ideal. The fractal cats kept busy by sleeping. My day was quite busy with holiday stuff, though I still found time to dredge up a fractal. The next fractal will be posted in 24 hours. Until then, take care, and if the outer world isn't real, then what is real? Jim Muth jamth(a)mindspring.com START PARAMETER FILE======================================= The_Galactic_Halo { ; time=0:02:50.38-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=MandAutoCritInZ function=recip float=y center-mag=+1.633449982985433/+18.85948164243031/\ 7.437228e+009/1/-30/0 params=-20/-5.2/-22/-1.2/0/\ 125/0/0 float=y maxiter=2400 inside=0 outside=real periodicity=0 colors=000mMzoMzuRzrOzpMznKzlIzjGzhE\ zfCzdAzb8z`6zZ4zY5zY6zX6zX7zW7zW8zV8mV9mU9mUAmTAmT\ BmSBcSCcRCcRDcQDcQEDPF6QE9QECRDFRDISCLSCORAPSCQTEQ\ UFQUHRVJRWKRWMSXNSYPSYRTZST_UT_VU`XUaZUa_VbaVccVcd\ WdfWegWeiXfkXglXgnYhoYiqYisZjtZkvZkwZbfbUReMBhNDiN\ EiNGiNHiNIiNKiNLjNMjNOjNPjORjOSjOTkOVkOWkOXkOZkO_k\ OakOblOclPelPflPglPilPjmPlmPmmPnmPpmPqmNtqPrmRpjTo\ gUmcWk`YjYZhV`fRbeOdcLeaHg`EiZBlZ5kY7jY8iY9hYAgYBf\ XCeXDdXFcXGbXHaWI`WJ_WKZWLYWNXVOWVPVVQUVRTVSRZWSXU\ SVTSTSRRRRPQQNOPLNPJMOHLOFKNDJMBHN9GN7FO5EO3DO2CN4\ BM5BL6BK7AJ8AJAAJB9JC9JD9JE9JF8KH8KI8KJ7KK7KL7LM4K\ M7JL9IKCHJEGIHFHJEHMDHOCIPCJQCKRDMSEOTFQUISVKUWMWY\ OYWO_XQa_Sc`UeaVgbXjcYmd_oe`rfbtgcvhexifzjjzjpzjvz\ j`WjZOjYHzW9zU0zV2zW3zW4zX5zY6zY7zZ8z_9z_Az`BzaCza\ DzbEzcFzcGzdHzeIzeJzfKzgLzgMzhNziOzkOziPzhQzgRzfSz\ eTzdTzSLzULzWLzYLz_LzaLzcLzeMzgMziMzkMz } frm:MandAutoCritInZ {; 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)+(p4)), k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel): z=k*((a*(z^b))+(d*(z^f)))+c, |z| < l } END PARAMETER FILE=========================================

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