January 2005 - Fractint - mailman.xmission.com

FOTD 23-01-05 (Mysterious Triangle [9])
by Jim Muth 23 Jan '05

23 Jan '05

FOTD -- January 23, 2005 (Rating 9) Fractal visionaries and enthusiasts: I am not sure that today's image truly rates the 9 that I have given it, but it is certainly one of the better FOTD's. The image, which shows the entire parent fractal, was created by the JimsCompMand formula. This formula can increase the number of arms in Mandel-type fractals, and it can also reduce the number of arms, as it has done in today's image, where the Z^(-1000) Mandeloid has had its arms reduced from 1001 to merely 3. This reduction in the number of arms brings out the delicate intricacy of the high-order fractals with negative exponents and large escape radii. The natural delicate effect was enhanced in today's image by the softly-glowing background, which was created with the 'bof60' inside fill and a bit of applied color theory. The black-to-orange shading of the foreground elements was achieved by setting the outside to 'fmod' and the proximity to a very high 1650. The effect of delicacy can be made stronger by increasing the escape radius beyond the 1100 that was used in the image. When this is done, the foreground elements gradually grow smaller. I assume they would eventually disappear entirely, though I have not taken the escape radius this far. Changing the inside and outside fills also creates interesting effects. The 'bof61' and 'atan' inside fills are particularly effective, as are several of the other outside options. I named the image "Mysterious Triangle", though there is really nothing very mysterious about it -- except that it is a fractal -- and we know how mysterious they are. The rating of a cosmic 9 and the brief render time of 1-1/2 minutes combine to create an image with an overall worth of 577. This is not the highest overall worth of all time, but those higher worths are somewhat artificial, having been achieved by render times of only a few seconds. As always, the finished image is available on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Heavy snow fell all afternoon Saturday here at Fractal Central, piling up to a depth of 6in 15cm. The temperature reached a high of only 16F -9C. The fractal cats took one brief smell of the outside air and decided that their adventure would be more comfortable on the window shelf. A treat of extra tuna in the evening insured their contentment. Today is starting cloudy. The snow has ended, but the temperature is 12F -11C, and the high winds are blowing the snow into drifts. The duo have already accepted that it will be another inside day. For me, the task is to clear the driveway and sidewalk, but before tackling that job I will wait for the drifting snow to settle down. The delay will give me a chance to find another fractal hopefully as good as today's. The next FOTD will appear in 24 hours. The vaguely fractal philosophy might or might not be included. Until then, take care, and see the light. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= MysteriousTriangle { ; time=0:01:33.60--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=JimsCompMand passes=1 center-mag=1.64342/2.84649/0.08912656/1/30/-1.233\ 73533611470521e-014 params=-1000/0/999/0/1000/0 float=y maxiter=2500 inside=bof60 proximity=1650 outside=fmod logmap=yes periodicity=10 colors=0000AHAAHLAHTAHXAHaAHeAHhAHjAHlAHkAHoAIqDJs\ HKuKLpOMpRNpVOpYPp`PpcQpfRpjSpmTqqUrtVswWuyXwzXxzW\ yyVzsUzwUzvTzuSztSwsRtqQqqQnpPknOhmOhlNgjMfiMfgLef\ KeeK`iRWlXRocMsiHvpCyvEvqFtmGrhHodJm_KkWLhSMfNOdJP\ aEQ_ARY6QZBQZGQZLP_QP_VP__u6Ks5Jr5Iq5Hp5Hn5Gm5Fl5F\ k5Ei5Dh5Dg5Cf5Bd5Bc5Ab49a48_48Z47Y46X46V45U44T44S4\ 3Q42P42O41N40M40N54O67O7BP8EQ9HQALRBORBRVFPZJObNMf\ RLjVJnZIlXHkWHjUHiTHhRHgQHfOHeNGdLGcKGbJGaHG`GG_EG\ ZDFYBFXAFW8FV7FU5FT4FS3GU5IV7JW9KXBMYDNZFP_HR`JSaL\ TbNVcPWdRXeTZfV_gX`hZbi`djbfkdilfkmgmngoohpohrpitq\ iurjvrjwskwtkxtlyulyvlzvlzulytlxskwrkwqjvqjupitoit\ nhsmhrlgrlgqkfpjfoieohengdmgdmfcleckdbjcbjbaibaha`\ h``g__fZ_eYZeYZdXYcWYcVXbUXaTW`TW`SV_RVZQUYPTYOSXO\ RWNQWMPVLOUKNTJMSJLRIKQHJPGIOFHNEGMEFLDEKCDJBCIABH\ 9AG99F88E77D66C55B44A439328017206105004zR1yQ0xQ0wP\ 0vP0uP0tO0sO0rN0qN0pN0oM0 } frm:JimsCompMand {; Jim Muth z=c=pixel: z=z^p1*(c^(p2-1))+c, |z| <= p3+100 } END PARAMETER FILE=========================================

1 0

FOTD 22-01-05 (Fractal Peach Pie [5])
by Jim Muth 22 Jan '05

22 Jan '05

FOTD -- January 22, 2005 (Rating 5) Fractal visionaries and enthusiasts: The JimsCompMand formula, which was used to draw today's image, is a new addition to my 'allinone' formula file, the file that holds all the formulas I use most often. The formula itself is nearly 10 years old, though during most of that time it just lay there unused. I have added it to my 'allinone' formula file at this time because I have been doing more fractal exploring with it recently. The formula is a generalization of the cmplxmarksmand formula of Fractint. I made the change to see what would happen when other powers of Z were given the same treatment. Today's image is part of the parent fractal that results when the exponent of Z is 1.4142 and the exponent of C is 0.4142. The fractal itself is a roughly circular bay, with considerable debris around the edges and a prominent valley jutting in on the west side. Today's scene is located in this western valley. Though the detail surrounding the midget in the image consists of the traditional equal-iteration bands, it is some of the most fractured I have yet come upon. I have no idea why the picture inspired the name "Fractal Peach Pie", but that is the name I gave it and that is the name it bears. The image is not really all that impressive, especially consid- ering the 22 minutes required to render it, which results in an overall worth of only 23. The effort of running the included parameter file may be avoided by downloading the finished GIF file from the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> The continuation of the philosophy will appear in the philo- fractal version of the FOTD within a day or two. Until then, don't grow impatient. Unlike foolishness, wisdom comes neither quickly nor easily. Bright sun prevailed all day Friday here at Fractal Central, but the temperature never rose above 21F -6C, and this was simply far too chilly for the delicate ears, paws and whiskers of the fractal cats. They passed the day on the shelf by the side window, watching the birds. Today is starting snowy, with a temperature of 12F -11C. The cats already know they will not be going out, and seem to have accepted their confinement. I plan on using the bad weather as an excuse to take it easy and prepare for the chore of getting rid of the snow, which will need to be done tomorrow. The next FOTD will appear in all its glory in 24 hours. Until then, take care, and step through life with enthusiasm. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Fractal_Peach_Pie { ; time=0:21:58.60--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=JimsCompMand passes=1 center-mag=-0.54218234203544090/+0.017174281788131\ 41/3.484017e+007/1/-87.5/6.94175655291395799e-008 params=1.4142/0/1.4142/0/0/0 float=y maxiter=50000 inside=0 periodicity=10 colors=000BXbAYaAYaAYa9Y`8Y`7Y`6Y`6Y`5Y`4Y`3Y`1Zb3\ Y`4X_6WZ7VY8UXAUVBTUDSTERSFQRHQPIPOJONLNMMMLOMJPLI\ QKHSJGTIFUIE3MUHZXXoWVkZUh`TecSbeRZgQWjPTl`WoOQnAM\ ozjnELmzjUHKkzKjzjiMKhOJgPJfzkLTJdUIcWIbYIaZI``H`a\ H_cHZeHYfGXhGWjGVkGUmFToFSpFRrFQtEPuEOwENxENcWCKm2\ Ml3Nl3Ol4Pl4Ql5Sl5Tl6Ul6Vl6Wl7Yl7Zl8_l8`l9al9ck9dk\ AelAfmBgnBjoClpCnpCppDrpDtpEupEvpFwpFxpFvnGtmGrmHo\ lHmiIkgIjfJhdJohKf`Kd_LcYLbXMaWM_VNkaNYTOXSOYUOjjO\ _XO`ZNa`NbbNcdNdeN`cOYbPVaQR_ROZSLYTHWUEVVBUW8TWCV\ ZFWaIXcMYfPZhS_kW`mZap`atabracpadnadlaejafhaffagdb\ hbbh`biZbjXbjVbkTblRqi6blPWRUPngHpVInUJlTJjSKhRLfQ\ LdPMbOM`NNZMOXLOVKPTJQRIQPHRNGPG6RMFTRNVXVXabZfjWd\ hUbgS`eQZdOXcMVaKT`IRZGPYENXCLVAJU9DY8IT8NP7SL7XH6\ aD5e66f97fB8fD9fFAfHBgJCRLDgNEgPFgRGgTHhVIhXJRZKh`\ LhbMhdNifOihPizQizRizSizRjzRjzRkzQkzQlzQlYSkWTjUVi\ SW`QYgOZfM`eKadJCWcCXbBXb } frm:JimsCompMand {; Jim Muth z=c=pixel: z=z^p1*(c^(p2-1))+c, |z| <= p3+100 } END PARAMETER FILE=========================================

1 0

FOTD 21-01-05 (Hip-Hopping Figure [7])
by Jim Muth 21 Jan '05

21 Jan '05

FOTD -- January 21, 2005 (Rating 7) Fractal visionaries and enthusiasts: Today's image is an outzoom of the 'Golden Rectangle' image of January 18, which is a scene in a Julia set of the formula Z^(2.003)+C. I even went so far as to reuse the color palette from that image. The original rectangle is still intact, quite visible at the point where the arms branch off from the main figure. This fractal area and color palette also appeared in the 'Mainline Railroad' image of January 19, where we examined the Mandelbrot aspect of the scene. I named today's image "Hip-Hopping Figure". This does not imply that I enjoy the so-called 'music' which goes by that name. In fact I would never listen to it. The name was chosen because the central figure resembles a person caught up in a wild twisting dance. The image has a lively, joyous feeling to it, which earns a rating of 7. When the rating is adjusted for the render time of just under 2 minutes, the overall worth equals an impressive 377. All this rating stuff can be bypassed by downloading the completed GIF image from the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> I might devote the month of February to exploration of this particular area of the Z^(2.003)+C Julibrot. We'll see how it goes. A bit more of the promised philosophical pondering is included in the philofractal version of this FOTD. A cloudy cold (34F 1C) day on Thursday here at Fractal Central kept the fractal cats outdoor time limited to two brief trips to the holly thicket, where the birds were finishing off the last of the holly berries. Both times when I called them, they came without hesitation. Their evening was uneventful. This morning is starting bright and sunny but, at a temperature of 14F -10C, it is quite cold. It will not be the best of days for the dynamic duo. For me the work is about average, which means anywhere from three to eight hours, depending on how efficient I am. Then it's back to the world of fractals. Until next FOTD, take care, and be lively. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Hip-Hopping_Figure { ; time=0:01:51.34--SF5 on a P200 reset=2004 type=julzpower passes=1 center-mag=-0.0\ 00437451/0.0547483/9.28 params=-1.7435/0.00025/\ 2.003/0 float=y maxiter=500 bailout=9 inside=0 logmap=10 periodicity=10 colors=00088JA9HCAFEBDGCBID9KE7MF5OG2PJ3QM3RO4SR4T\ T4UW5XY5Z`6bb6de6gg7jj7ll8oo8rq8uuJuvUqvSouRmrPkpO\ inNilLjkKklIlmHmmGomEqmDsmCumCwm8zmCekGbdF_YEXRDPN\ DUKCYHBbEAfBAk89o58s38p49m59j59g69d7Aa7AZ8AW9AT9AQ\ ABNBBKBBHCBECBKDGPELUFQZGVcH_hIdmJirKmqIoqHpqFrqEs\ qCuqBvq9xq8yeDxUHxILx7Px7A1DPAJbIOpQNqSMrTLrVKsWKs\ YJtZIt_HuaGvbGvdFweEwgDxhDxiEwjFwjGwkHwkIvkJvlKvlL\ vlMvmNumOumPunQunQunNqlKnkHkjEhiBdh8ag5Zf3We5`Y7eR\ 9jJBoCDpDFpEGpFIqGJqGLqHMrIOrJPrKRsKSsLUsMVtNXtOTr\ TYtObuJgvEmx9lwAlwAlwAkvAkvAkvAjuAjuAjuAitAitAmw8i\ vAewCaxEZyGVzHRzJOzLKzNGzODzQ9zS5zU2zV6zT9zRCzPFzN\ IzLLzJMzDOzIQzMSzQTzVVzZXzbYzfWzdVzcUzaSz`RzZQzYPz\ WNzVMzTLzSJzOKzRLzTMzWNzYNz`OzbPzeQzgRzjUzmRzlPzlN\ zlKzkIzkIzpGzkEzfDzaBzX9zS8zN6zI4zD3z97zAAzADzAGzA\ JzAMzAQzATzAWzAZzAazAdzAbzDazG`zJZzMYzPXzSVzVUzYnz\ ClzCjzCsz4izC_zJQzQPzNPzL } END PARAMETER FILE=========================================

1 0

FOTD 20-01-05 (Don't Square This [5])
by Jim Muth 20 Jan '05

20 Jan '05

FOTD -- January 20, 2005 (Rating 5) Fractal visionaries and enthusiasts: Today's image pictures a tiny midget in the Z^(sqrt2)+C Mandeloid, calculated one turn down the log spiral. This is my favorite of all the Mandeloids with exponents in the range between 1 and 2. I enjoy exploring it especially because its midgets are far easier to find than those of other Mandeloids in this range. Whether the midgets are worth the search is another question. With an exponent of 1.4142..., the midgets have 1.4142... elements surrounding them in the outermost ring. In the next ring closer to the midgets there are (1.4142)x(1.4142), or 2 elements surrounding the midgets. Though these elements are broken, they usually create an obvious 2-way symmetry around the midget, which, just as in the Mandelbrot set, makes the midgets easy to find far before they themselves become visible. In today's scene the 2-way symmetry is clearly visible around the borders of the frame. Closer to the midget, the brilliant yellow-orange element has approximately 5.657 spiral arms attached, a number that happens to be 1.4142^(5). (We seem to have skipped past the powers 3 and 4.) The parent fractal of today's image consists of a Mandel-shaped main bay with a distorted bud on its north side. The image itself is located in a valley of a sub-bud on the northern edge of the large bud. I used the 'imag' outside fill when rendering the image to add a bit of life. In a way it adds a bit too much life. I would have preferred to see a little more organization. I named the image "Don't Square This". I gave it this name because if the exponent is squared, the result is the familiar Mandelbrot set, which is a totally different story. Though the midgets in the Z^1.4142... fractal are fun to find, I have yet to stumble upon one that is truly outstanding, as many of the midgets in the M-set can be. Today's image does have brilliant colors, but like all scenes in the fractals with fractional exponents, it leaves me with a feeling that there once was a great image here, but it broke up before I reached it. As a result, I can rate the image no higher than a 5. When the render time of 34 minutes is figured in, the overall worth comes to a 14.5, pretty low on the overall-worth scale. Things such as render times, values, and overall worths can be ignored by visiting the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> and downloading the finished GIF image from there. The enlightening philosophy about what we are and where we come from is still brewing, but it is not yet ready. Every time I check what I have written I find a few more things that seem to have not been clarified. I'll keep working on it until I get it right. Then the great revelation will appear on the philofractal list. Snow fell most all day Wednesday here at Fractal Central. By the time it ended 2-1/2in or 6cm of the white fluffy stuff had piled up. The temperature never rose above 23C -5F, making things far too unpleasant for the fractal cats, who took only one glance out the back door before deciding that the best way to pass the day would be to watch the snow fall from their shelf by the window. They seemed happy enough, and only the usual amount of tuna was needed in the evening. Today is starting cloudy and continued cold, with the ever-present threat of more snow. So far the cat duo seems happy enough, but the day is young and a lot can happen in 12 hours. For me, it's finish the work first and then move on to the fractals. Until the next FOTD appears in 24 hours, take care, and could fractals, which have no mass, escape from a black hole? Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Dont_Square_This { ; time=0:34:19.32--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotBC2 passes=1 center-mag=+0.24938287158000390/+1.427995501755636\ /4.643115e+008/1/100/-1.81791574210832252e-007 params=1.414213562373/0/-1/0 float=y maxiter=4000 inside=0 outside=imag logmap=1036 periodicity=10 colors=0000rz0pz0nz0lz0jz0hz0dz0`z0Xs0Uh0P_1IO5CCA\ 51H00D00C0092074447929D0AI0CO0DU0IX0M`0Rd0Wf1`j1do\ 2jp2nu4ty4yz7tyApyClyFhyHdyK`yNXwQUwQPwSMwSIwUFwUC\ uX9u_5ub2ud0uh0uo0wj0uh0ff7WbFI`M9_W0Xb0bW0fO2jIAo\ CHu5Oy0Xz0dz0lp0f`0bN0_A0W00S00O00O00K04I07H0CF0FC\ 4IA9O9DR7IW4O`2Ud1jt4_h0O_0DP05H009000000000000000\ 000002005507A09H0AO0CU0F`0Hf0Io0Ku0Mz0Oz0My2Ko7KdA\ IWFIOKHFOF7UF0_D0bD0_A0X70W40U00S01O04N07K0AI0DH0F\ D0CA09905502200100000000200700C02H05N0AS0Db0OX0HS0\ AN94HI0CR0AW09`07d05h05l04p02t11y40zA1z72p44d15U07\ I0990A00400800A42A2HKHXUWocazmjzwkuzfhzaXzgOzhHzmC\ zw7zz2zz0zz0zm0zc1zX2zR4zM5zH7yC9y99dD5OH47O10W00_\ 00f00z10h40b70XA0RD0OH0KK0IO0FS0DW0C_0Ab09f07j05o0\ 2s00w00z00z00z00z00zN_zQXzSWzUUzXRz_Pz`OzbMzfKzhIz\ jHzoFzpDzsCzu5zwCzyIzzOzzWzz`zzhzznzzwzzzzzzzzzzzt\ zz`zzHzz0zz4zz5zzfzzhzzhz } 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=========================================

1 0

Re: FOTD 17-01-05 (Spinal Tap [3])
by gnome＠hawaii.rr.com 19 Jan '05

19 Jan '05

Please keep them coming each day! Even when I don't visit the particular FOTD image, I enjoy your note and generally do check out the images! David gnome(a)hawaii.rr.com ----- Original Message ----- From: Jim Muth <jamth(a)mindspring.com> Date: Wednesday, January 19, 2005 5:15 am Subject: [Fractint] Re: FOTD 17-01-05 (Spinal Tap [3]) > At 12:19 AM 1/19/05 -0700, 'Rawzhuh' wrote: > > >Maybe he should use [the name 'Spinal Tap' again > >when he gets an editor. (If Jim ever gets an editor, > >then hopefully she looks carefully at December). > > If the less-than-great, or even less-than-good FOTD > images were edited out, I would never be able to post > the FOTD on a daily basis. I have often considered > abandoning the every-day schedule, and starting to > post my FOTD fractals and discussions when I have > something that truly deserves to be made public. > Maybe I will change the schedule to an irregular one, > maybe not.

1 0

FOTD 19-01-05 (Mainline Railroad [6])
by Jim Muth 19 Jan '05

19 Jan '05

FOTD -- January 19, 2005 (Rating 6) Fractal visionaries and enthusiasts: Today's image is a scene in the Z^(2.003)+C Mandeloid, near the point corresponding to the Julia rectangle that appeared in yesterday's image. Surprisingly, not the slightest hint of rectangles appears in the image, though with a little stretch of the imagination, the elements surrounding the central midget can be taken to be a square. There is not much to be said about today's image, which for those with the ears to hear, speaks for itself. The rating of a 6 seems accurate. When the render time of just under 12 minutes is considered, the overall worth registers a nominal 51. I gave the picture a name inspired by the railroad-track features that fill this area of the Julibrot. I named it "Mainline Railroad". The image, in all the glory it can muster, will soon be posted, ready for download, on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> The philosophy of (IMO) reality will be continued in a few days. With brisk winds and a high temperature of only 23F -5C, Tuesday was the coldest day yet of the winter here at F.C. The cats agreed, and spent the day on their shelf by the window, watching the starlings huddle around the local chimney outlets. The cat duo must have appreciated the view, because their moods remained acceptably good all day. Only one serving of tuna was needed. Today is starting with snow. The cats' fate is in doubt. My day is neutral, so far. It will turn good when the work is finished and I can shift my energies to Fractal Land. The next FOTD will appear in 24 hours. Until then, take care, and sit tight. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= MainLine_Railroad { ; time=0:11:51.17--SF5 on a P200 reset=2004 type=manzpower passes=1 center-mag=-1.74344067887645600/+0.000034591426496\ 45/2.689848e+009/1/-160/-0.0014367405561571539 params=0/0/2.003/0 float=y maxiter=2300 bailout=9 inside=0 logmap=365 periodicity=10 colors=000880A90CA0EB0GC0ID0KE0MF0OG0PJ0QM1RO2SR3T\ T4UW5XY5Z`6bb6de6gg7jj7ll8oo8rq8uuJuvUqvSouRmrPkpO\ inNilLjkKklIlmHmmGomEqmDsmCumCwm8zmCekGbdF_YEXRDPN\ DUKCYHBbEAfBAk89o58s38p49m59j59g69d7Aa7AZ8AW9AT9AQ\ ABNBBKBBHCBECBKDGPELUFQZGVcH_hIdmJirKmqIoqHpqFrqEs\ qCuqBvq9xq8yeDxUHxILx7Px7A1DPAJbIOpQNqSMrTLrVKsWKs\ YJtZIt_HuaGvbGvdFweEwgDxhDxiEwjFwjGwkHwkIvkJvlKvlL\ vlMvmNumOumPunQunQunNqlKnkHkjEhiBdh8ag5Zf3We5`Y7eR\ 9jJBpCDsDFuEGwFIzGJyGLxHMwIOvJPuKRuKStLaJUbJTcJSdJ\ ReJQfJPgJOfTNeaMdjLdsKbqKaoK`nK_lKZjKYiKXgKVeKUdKT\ bKS`KR_KQYKPXKY5EW9KUDPTGURKZQNdORiNUnLYsK`zMYzOWz\ QUzSSzTQzVOzXMwZKi`IaaG_cEXeCVgASi8Qh4Ij6Ok7Ul8_WJ\ x`Ynbledkdfkcgjbijbjjali`mi_oh_phZrhYsgXugXvfWxfVy\ fVvcUsaTp_SmYRjWQgTPdROaPNZNMXLLIeF3z97zAAzADzAGzA\ JzAMzAQzATzAWzAZzAazAdzAbzDazG`zJZzMYzPXzSVzVUzYnz\ ClzCjzCsz4izC_zJQzQPzNPzL } END PARAMETER FILE=========================================

1 0

Re: FOTD 17-01-05 (Spinal Tap [3])
by Jim Muth 19 Jan '05

19 Jan '05

At 12:19 AM 1/19/05 -0700, 'Rawzhuh' wrote: >Maybe he should use [the name 'Spinal Tap' again >when he gets an editor. (If Jim ever gets an editor, >then hopefully she looks carefully at December). If the less-than-great, or even less-than-good FOTD images were edited out, I would never be able to post the FOTD on a daily basis. I have often considered abandoning the every-day schedule, and starting to post my FOTD fractals and discussions when I have something that truly deserves to be made public. Maybe I will change the schedule to an irregular one, maybe not. FOTD in about 1-1/2 hours. Jim M.

1 0

FOTD 17-01-05 (Spinal Tap [3])
by Jim Muth 19 Jan '05

19 Jan '05

FOTD -- January 17, 2005 (Rating 3) Fractal visionaries and enthusiasts: Today's image is part of the fractal that results when 1/Z is subtracted from Z before C is added. The parent fractal is little more than a hyperbola symmetrical to the X-axis, with the open end on the east side. In this case the 'main bay' is truly impressive. In fact, it is quite possibly infinite. But infinite or not, its shoreline is filled with typical Mandelbrot things such as buds and spirals. Today's image lies rather deep in one of the spirals. I gave the image the rather unpleasant name of "Spinal Tap" because the elements surrounding the central midget remind me of a spine, with its loosely connected discs and bones. Unfortunately for those in a hurry, the image is a very slow one. It takes over an hour to complete on my aged unit. The dark dreary colors add little to the image, and drag its value down to a 3. When the render time is figured in, the overall worth registers a shameful 4.7. But as in most all fairy tales, salvation is at hand. The task of rendering may be avoided. The finished image will soon be posted on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> from where it may conveniently be downloaded. The philosophy of the day appears in the philofractal version of this discussion. A cloudy cold day here at Fractal Central on Sunday, with a temperature of only 34F 1C, kept the duo safely indoors. When a few snowflakes started falling in the evening, they knew they had made the right decision. This morning is starting sunny but blustery, and even colder. I had best have the tuna ready again. As for the work, it is still a bit heavy, but I now have FOTD's in storage for the days when there is no time to do completely new ones. The next FOTD will appear on schedule right here in 24 hours or so. Until then, take care, and if you want to catch a squirrel, climb a tree and act like a nut. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Spinal_Tap { ; time=1:03:24.36--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=ident passes=1 center-mag=+2.82715396322678/-0.00004849471454/1.6\ 01449e+011/1/82.5/0 params=-1/-1/-1/1/0/0 float=y maxiter=10000 inside=0 logmap=1152 periodicity=10 colors=000hOVhOViPVjPVjQWkQWkRWlRWlSWmSWmTXnTXnUXo\ UXoVXpVXpWYqWYqXYrXYrYYsYZsZZtZZt_Zu_Zu`Zv`_va_wa_\ wb_xb_xb_vYWtUSrPPpLLnHHlCEj8Ai47h68h78g88g98fA9fB\ 9fC9eD9eF9dGAdHAdIAcJAcKAbLBbMBaOBaPBaQB`RC`SC_TC_\ UC_VCZXDZYDYZDY_DX`EXaEXbEWcEWeEVfFVgFVhFUiFUjFTkG\ TlGSnGSoGSpGRqHRrHQsHQtHQuHPtGPtGPsGPsGOrGOrGOqFOq\ FNpFNpFNoFNoFMnFMnEMmEMmELlELlELkELkEKjDKjDKiDKiDJ\ hDJhDJgDJgCIfCIfCIfCIeCIeCHdCHdBHcBHcBGbBGbBGaBGaB\ F`AF`AF_AF_AEZAEZAEYAEY9DX9DX9DW9DW9CV9CV9CV8CU8CU\ 8DT8ET8cS8GS8HR7IR7gQ7KQ7LP7MP6NO6OO6PN6QN6RM5SM5K\ I5UL5UK6UK7UJ8UJ9UIAUIBzHzPZzKUzFGFEFGEEHEDIDCJDCK\ DCLDCMDDNDDOCDPCDQCDRCDSCDTBDUBEVBEWBEXBEYBEZAE_AE\ `AEaAFbAFcAFd9Fe9Ff9Fg9Fh9Fi9Gj8Gk8Gl8Gm8Gn8Go7Gp7\ Gq7Hr7Hs7Ht7Hu6Hv6Hw6Hx6Hy6Iz6Kz5Kz5Kz5Kz5Iz5Iz4Hz\ 5Iz6Jz7Kz8Lz9MzANzBOzCPzDQzEKzFKzGKzHKzIKzJKzKKzLK\ zMKzNKzOKzPKzQKzRKzSKzTKz } 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 PARAMETER FILE=========================================

3 2

From Spinal Tap to Stargate SG-1
by Lee H. Skinner 18 Jan '05

18 Jan '05

Here is a zoom into Jim's Spinal Tap that is slow but well worth waiting for. Do it on your machine overnight if you wish, but at the highest resolution you have. It's awesome at 1600x1200. It reminds me of the Star Gate from the TV show Stargate SG-1 with a Mandelbrot Midget in the center. 60117011 { ; Stargate SG-1 Mandel Version ; t= 2:57:26.78 on a P4 2Gh at ; 1600x1200 Image Copyright 2005 ; by Lee H. Skinner ver=2004 reset=2004 type=formula formulafile=fractint.frm formulaname=mandelbrotmix4 function=ident passes=1 center-mag=+2.82715396322678300/-0.00004849471454388/\ 1.545461e+012/1/84.9946507906923046/0.006935150755078\ 19545 params=-1/-1/-1/1/0/0 float=y maxiter=20000 inside=0 logmap=1667 symmetry=none periodicity=10 colors=000Vcz<16>NgzMgzMhz<3>Jiz<3>`icdiYhiTmi0qiHvhB\ xh6zg0<3>nc2kc2hb3<2>__4XZ5WZ5<3>PX8NW9MW9KVAIUBHSBFQ\ A<3>000<2>000077<3>0HH0KK0MM<3>UqSayUQnNEbFAg8<6>CdZC\ cbCcf<3>Dav<3>PMmSIjVEh<3>LE_JEYKEY<16>dE`eE`gEa<3>lE\ bjEahD`zC0cByaAW_AVXtuV8S<3>M5MK4KzqJF2HD1GA0EC1EF3EH\ hzK6EN8DPADzCDVDDXFDHHCaJCdKCM3CiOClQBPGAqTBtVBwXA<34\ >yutyuuyvwywxzxz<6>zxzzxzzyz<3>zyzyxzxwz<24>ddzcdzbcz\ abz<2>_azZazZbz<5>Wcz } Lee Skinner

1 0

FOTD 18-01-05 (Golden Rectangle [6])
by Jim Muth 18 Jan '05

18 Jan '05

FOTD -- January 18, 2005 (Rating 6) Fractal visionaries and enthusiasts: The morning started with an unwanted e-mail with a subject line that read, 'hey jamster i found what you were looking for'. I was quite puzzled, for I had no idea who jamster is or what he was looking for. But all the sender wanted was to sell him something or other that he did not need, so no damage was done. I deleted the letter to the trash bin and got to the fractal. In today's image we return to one of my favorite fractal objects, the mysterious rectangle that exists in the C=-1.7435,0 Julia set of the formula Z^(2.003)+C. To make things a bit more interesting I added the small imaginary value of 0.00025 to C. The imaginary addition gives the whole scene a twist, making an image worthy of the status of FOTD. I named the image "Golden Rectangle". One glance at the picture will reveal why I chose the name. The render time of 3-1/2 minutes is certainly within reason, and results in an overall worth of 173. For the convenience of those who do not enjoy rendering, the completed GIF image will soon be ready for download on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> The next installment of 'philosophy' is included in the philofractal version of today's discussion. It was partly cloudy but very cold here at Fractal Central on Monday. The temperature hovered around 23F -5C all afternoon, which kept the dynamic fractal cats safely indoors. They needed only to stick their noses out the door for a few seconds to know that they would not want to be outside. Their moods were not too sullen, but I gave them an extra treat of tuna to be sure they were happy. This morning is starting even colder, with a temperature of 12F -11C. Luckily, we are well stocked with tuna. The work is still heavy, but never fear, I have spare FOTD's waiting. The next FOTD will appear in 24 hours, to continue the high standards of the past 7-3/4 years. Until that golden moment arrives, take care, and of course you can. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Golden_Rectangle { ; time=0:03:28.17--SF5 on a P200 reset=2004 type=julzpower passes=1 center-mag=-0.0\ 00437451/0.0736706/50 params=-1.7435/0.00025/2.003/0 float=y maxiter=500 bailout=9 inside=0 logmap=43 periodicity=10 colors=00088JA9HCAFEBDGCBID9KE7MF5OG2PJ3QM3RO4SR4T\ T4UW5XY5Z`6bb6de6gg7jj7ll8oo8rq8uuJuvUqvSouRmrPkpO\ inNilLjkKklIlmHmmGomEqmDsmCumCwm8zmCekGbdF_YEXRDPN\ DUKCYHBbEAfBAk89o58s38p49m59j59g69d7Aa7AZ8AW9AT9AQ\ ABNBBKBBHCBECBKDGPELUFQZGVcH_hIdmJirKmqIoqHpqFrqEs\ qCuqBvq9xq8yeDxUHxILx7Px7A1DPAJbIOpQNqSMrTLrVKsWKs\ YJtZIt_HuaGvbGvdFweEwgDxhDxiEwjFwjGwkHwkIvkJvlKvlL\ vlMvmNumOumPunQunQunNqlKnkHkjEhiBdh8ag5Zf3We5`Y7eR\ 9jJBoCDpDFpEGpFIqGJqGLqHMrIOrJPrKRsKSsLUsMVtNXtOTr\ TYtObuJgvEmx9lwAlwAlwAkvAkvAkvAjuAjuAjuAitAitAmw8i\ vAewCaxEZyGVzHRzJOzLKzNGzODzQ9zS5zU2zV6zT9zRCzPFzN\ IzLLzJMzDOzIQzMSzQTzVVzZXzbYzfWzdVzcUzaSz`RzZQzYPz\ WNzVMzTLzSJzOKzRLzTMzWNzYNz`OzbPzeQzgRzjUzmRzlPzlN\ zlKzkIzkIzpGzkEzfDzaBzX9zS8zN6zI4zD3z97zAAzADzAGzA\ JzAMzAQzATzAWzAZzAazAdzAbzDazG`zJZzMYzPXzSVzVUzYnz\ ClzCjzCsz4izC_zJQzQPzNPzL } END PARAMETER FILE=========================================

1 0