June 2011 - Fractint - mailman.xmission.com

FOTD 12-06-11 (Take Your Choice [6])
by Jim Muth 12 Jun '11

12 Jun '11

FOTD -- June 12, 2011 (Rating 6) Fractal visionaries and enthusiasts: Today's image is in two parts, the lower left half and the upper right half. The viewer may choose which half he prefers. The lower left half is intact, while the upper right half is partially evaporated, with the evaporation front running diagonally through the central minibrot. The strange bailout value assigned the imag(p3) parameter controls the position of the evaporation front. The coloring is quite different in the opposing halves. I have worked on the coloring to emphasize the difference, but the result still rates no higher than a 6. The coloring effect in the upper right half was achieved by rendering the image with the inside set to 'zmag'. The other inside fills have varying effects. Actually, the image holds an error. I had intended to enter 8.8 as the value of the imag(p2) parameter, but somehow the decimal point never showed up, and I didn't notice the value of 88 until the image was completed. It was another of those serendipitous accidents that happen so often in fractals. The name "Take Your Choice" implies that the viewer can have it both ways. Those who prefer the lower left half of the image may reduce the bailout a bit and get an entire image like the lower left half. Those who prefer the upper right half may simply increase the bailout. (Setting the inside fill to 'bof61' has the same effect as lowering the bailout.) The calculation time of 4-3/4 minutes is slightly tiresome, but calculation may be eliminated by viewing the completed image on the FOTD web site at: <http://www.crosscanpuzzles.com/Archives.html> A hi-def version of the image is available at: <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> The original FOTD web site, which was started in 1997, may be accessed at: <http://www.Nahee.com/FOTD/> A mix of sun and clouds, with a few sprinkles of rain and a temperature of 86F 30C, made Saturday a routine weather day here at Fractal Central. The fractal cats forgot the day even before it began. I took things as easy as possible, aided by FL, who came to the rescue when I showed signs of doing some useful work. In reply, I gave her some morale support when she went to work in her garden. The next FOTD will be posted in 24 hours. My next fractal 'hot' spell is due soon, so check then to see it it has arrived yet. Until next time, take care, and if a physicist should prove that the world is not real. Would he really have proved it . . . Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Take_Your_Choice { ; time=0:04:45.38-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=MandAutoCritInZ function=recip passes=1 center-mag=+1.433407804720116/+0.02731266503619226\ /1.578536e+008/1/-132.5/0 params=3/-1.8/0.6/-88/0\ /1.233827121e+027/0/0 float=y maxiter=1600 inside=zmag logmap=170 periodicity=6 colors=000rU2cY2a`1_c0Zf0Yc2Xa4W_6VX7UV9TTBSRDSOER\ MGQKIPIKOFLNDNMBPM9QOEPPJORONSTMUXLVYKXYJYYIZYHYYL\ XYPWQTVHcU9_J6I831A25B28D2BE2EG2HH2LJ2OK2RM2UN2XNE\ `NQcNafNmiNylMvkMtkLrkLpkLmjKkjKijJgjJdiJbiI`iIZiI\ Xi6A`5Ob4ad3neArOHu6MdFROOV8WYJc`TjR_lHfm7mn8qs9tx\ LsmXschrTtrJgoRVlZJieGfWDdMAbC7`3DZLIXbNVsawmQIMqu\ w`dtuy7hlNW`bNeDM_RLUdS_8QXKOUWMRgC13F9LIHa1ia8bgE\ WmgBMWIbFKiINny0an7fdDjUJn0XR7U`ERigxCWfYGXEHVPITZ\ JRhrap`VqppBgiM_bXSWgkk3YM3ROT1Gv8JtEMsEmUH`frPp`P\ q73OB9WEEcHKkPwO6zO2jU8bbEWjMsW74RBAYEFdHKktVlaSob\ VJNsBuOLbPawbdiYiXTnk7SYGeKq3QmtN`sro``aiif7``NSVb\ s80jDEaHSTLe_Edy`7kXNYTbqz6HdJI_VJUf_`UUXbPTj3bP8Z\ XCWcGSkZJ1RMSzG2oJGdLTUNe5My_cWUZcPUkN8mMEoLKqoPqd\ PrUPrkoJafVTYfHfJtuvgjtW_sGU6tU28gQBbYEYdHTknxPclZ\ U`homO_`c7hqJ2EKEZK1wK7uKDtKJsOUdMSiLQnlpsbfrTYrWP\ 9QPWY7URGfcVdMnCLeR000B00 } 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=========================================

1 0

FOTD 10-06-11 (Two Times Seven [7.5])
by Jim Muth 11 Jun '11

11 Jun '11

FOTD -- June 10, 2011 (Rating 7.5) Fractal visionaries and enthusiasts: In today's image we return to the DivideBrot4 formula, one of the formulas I wrote while developing the FinDivBrot-2 formula, the one I now use most often for images with mixed characteris- tics. The FinDivBrot-2 is satisfactory enough, but the DivideBrot4 does a few things better than the FinDivBrot-2. Today's image shows one of these 'better' things. The scene is located rather deep in the East Valley of the oversized parent fractal, which on the surface resembles an everyday Mandelbrot set. Down at the depth of today's image however, things get out of control. The quadratic minibrots have transformed into order-7 minibrots, but these minibrots have lost all pretense of 7-part symmetry, and are surrounded by patterns that appear to be a combination of Z^2 and Z^7 features. The image shows an order-7 minibrot with every lobe doing something entirely different. Some lobes connect out to the surface, while other lobes quickly come to a dead end. Countless smaller minibrots fill the image, easily located by their brilliant orangish coloring. Though these smaller minibrots share a similarity, no two of them are exactly the same. The result of all this chaos is a rating of a 7-1/2, 1/2 point of which is due to the extra effort on the coloring. (If I had totally eliminated the color bands, the image could have rated an 8.) The calculation time of 3-1/4 minutes is not quite a bargain, but a fair price to pay. The name "Two Times Seven" refers to the mixture of quadratic and order-7 elements in the image. The fully calculated finished image is posted at: <http://www.crosscanpuzzles.com/Archives.html> The image is posted in high-definition at: <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> The 14-year-old original classic FOTD web site with all the early images may be accessed at: <http://www.Nahee.com/FOTD/> Another hot, hazy, muggy day prevailed here at Fractal Central on Thursday, with a temperature of 95F 35C. Heavy storms threatened all afternoon, but at 6pm they had not moved in. The fractal cats took things slowly, even asking for their treats in subdued slow motion. The humans also had a slow day. FL was concerned with a rain gutter that overflows on her garden, but the repair is not yet in sight. The next FOTD will be posted in 24 hours. Until then, take care, and when we finally do work out a theory of (almost) everything, will we be able to understand it? Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Two_Times_Seven { ; time=0:03:16.15-SF5 on P4-2000 reset=2004 type=formula formulafile=allinone.frm formulaname=DivideBrot4 center-mag=+1.864192528962\ /-0.0236455806899/1.28447e+009 params=7/7/2400/0 float=y maxiter=6400 inside=0 logmap=696 colors=00059L5AM5BN5CO5DP5EQ5FR5GT5HU5HW5GX5GZ5G_5\ Ga5Gb5Gd5He9JdCLcFMbINaMO`PQ_SSZVVYZXXaZWd`YfcZhfc\ ikhipmhsreuvbxzXwzRuzMtvOrrPpmRmhSjcThZVeUWcPY`MZZ\ K_XMaUObSQcQSdTReWQfZQfaPgdOhgOijNilNgnQfpTdrWctYa\ v``xc_yeXxaUxZRxWVwTZwQcwNhvKmvHrvEvuBzu8zu5Qd9WT8\ aH8f68cABaEE_IGYMJWQLUUOSYQQaTOeVMiYKl_NmbQmeSnhVn\ kXom_opapsdpvfpxaqrXqmSrhQocOlZLiUJfRHcPE`QCYRAVS8\ SSCTR8_t4Ys6Xp8XmAXkCWhEWeGWcIW`JVYLVWNVTPVQRUOTUL\ VUIWUG_XJc_LgbNkdQogSsjUrlZqnblphhrnctt_vzYtwWruUp\ rSnpQlmOjkMihKgfIecGcaEaZC_XAYU9XSDURGSRJQQMOQQMPT\ KPWIPZGOaEOeCNhANk8Mn6Mq4Mq6Lq8KqAJqCIqEHqFGqHFqJE\ qLDqNCqOBqQAqS9qU8qW7qX6oZ5q`4sa4vd3zg2zi2zk5zl7zl\ AzmCzlFzkHzgGydGwaGv_GuYFtWFsUFrSFpRLnQRlQXj`bhchf\ cndctbczecjgcVicFjmKkmPkmUlmZmzcmzhnzmozrozwqzsszo\ uzlwzhyzeszcnzahz_czYZzWTzUOzSJzRIzQHzPHzOGzNGzMFz\ LFzKEzJEzIDzHDzGFzFGzEHzD } frm:DivideBrot4 { ; Jim Muth z=0, c=pixel, a=real(p1)-2, b=imag(p1), d=real(p2)+100: z=sqr(z)/(z^(-a)+b)+c |z| < d } END PARAMETER FILE=========================================

2 1

FOTD 11-06-11 (Way to the Unknown [No Rating])
by Jim Muth 11 Jun '11

11 Jun '11

FOTD -- June 11, 2011 (No Rating) Fractal visionaries and enthusiasts: Today's image is a scene in the Z^101+C Julibrot. It is a simple diversion from the heavier things that the FOTD somteimes gets involved in. It's the type of thing I might have done 10 years ago, so I could give it no rating. But it's still a very fast 44-second image, well worth a glance. The image is not part of a Julia set, nor of a Mandelbrot set. It is sliced in a direction rotated 4-1/2 degrees from the Julia toward the Oblate orientation. This makes the image almost a Julia set, though one would never guess it from the appearance alone. The name "Way to the Unknown" sounds full of deep meaning. Actually, it has little if any connection to the image, and even less meaning. The most obvious features in the image are the 3 similar openings, though they failed to be mentioned in the name. The finished image is posted at: <http://www.crosscanpuzzles.com/Archives.html> Check the high-definition version at: <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> And don't forget the original FOTD web site at: <http://www.Nahee.com/FOTD/> Friday brought a refreshing break to Fractal Central as a bit of cooler air slipped in from the north, dropping the temperature to 86F 30C and clearing away the haze and humidity. The fractal cats must have missed the change. They spent most of the day stretched in the coolest places they could find. The humans had a rather dull day, which appears to be typical of how things go in the summer here at FC. The next FOTD will see its moment of glory in 24 hours. Until then, take care, and if the answer is not what you had hoped for and expected, believe it anyway. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Way_to_the_Unknown { ; time=0:00:44.21-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=SliceJulibrot4 passes=1 center-mag=-0.995001/0.963568/19.79345/0.7593/180 params=85.4/0/90/0/-0.9737/0/1.0066/0/101/0 float=y maxiter=1500 inside=255 periodicity=0 colors=000D07D08E0AF0CFAIEFOIJVMNWRQRVT7ZW7cVzmUzz\ zzzzzMaZBej1iuOd_j`FgaJdbzacQZdUzzzTf`QgdNhgKikHjn\ EkrBlv8my5nz2oz4kz6gz8czA_yCWwESvGPtILsKHqMDoO9nQ5\ lS2kR3mQ3nP3oO3qN4rN4sM4uL4vK5wJ5yJ5zI5zH6zzzzF6zF\ 6zEGwEPnDYeDfXDoOEjREeTE`VFWYFS_FNaGIdGDfG9hEFcCLZ\ ARU8XP6bK4hGKULZFPm0Tl1Wzzzj3`i4ch5eg6hf7je8me9ocC\ nbEmaGl`Ik_KjZMiYOhXQgWSfVUfSXcQ_aOa_MdYKgWIiUFlSD\ oQBqO9tM7wK5yI7uK8rLAnNBkODhPEdRGaSHZTFYVEYWCYYBYZ\ 9Y`8Ya6Yc5Yd6Wb7V`8U_8SY9RWAQVAPTFGIBNRCMQDLODJMEI\ LFHJWzzUvxTrtRnpQjlOfhNbdMZ`KVXJRTHNPGJLBeQjsmgojd\ kgahdZdaW`ZTYWQUTNQQKNNHJK71r83o94l95iA6fB7cB8`CAZ\ CBWDCTEDQEENFFKAXrBVoBUlCTiCRfCQcDP`DNZEMWELTEJQFI\ NFHKAOzDKdaMQ`LP`LP`LP_LP_LP_LPZLPZLPZLPYLOYLOYLOY\ KOXKOXKOXKOWKOWKOWKOVKNVKNVKNVKNUKNUKNUJNTJNTJNTJM\ SJMSJMSJMSJMRJMRJMRJMQJMQJMQILPILPILPILOILOILOILOI\ LNILNIKNIKMIKMHK7Gm6EfUsz } frm:SliceJulibrot4 {; draws all slices of Julibrot pix=pixel, u=real(pix), v=imag(pix), a=pi*real(p1*0.0055555555555556), b=pi*imag(p1*0.0055555555555556), g=pi*real(p2*0.0055555555555556), d=pi*imag(p2*0.0055555555555556), ca=cos(a), cb=cos(b), sb=sin(b), cg=cos(g), sg=sin(g), cd=cos(d), sd=sin(d), p=u*cg*cd-v*(ca*sb*sg*cd+ca*cb*sd), q=u*cg*sd+v*(ca*cb*cd-ca*sb*sg*sd), r=u*sg+v*ca*sb*cg, s=v*sin(a), esc=imag(p5)+9 c=p+flip(q)+p3, z=r+flip(s)+p4: z=z^(real(p5))+c |z|< esc } END PARAMETER FILE=========================================

1 0

FOTD 09-06-11 (A Great Sea-Change [7])
by Jim Muth 09 Jun '11

09 Jun '11

FOTD -- June 09, 2011 (Rating 7) Fractal visionaries and enthusiasts: I named today's image "A Great Sea-Change". It's kind of a redundant name, since a 'sea-change' implies a total transforma- tion, and a change cannot be any greater than total. What has changed in today's image is the surroundings of the tiny order-6 minibrot at the center, as well as the surroundings of the other minibrots scattered about the scene. Normally, the high-order minibrots are notably uninteresting, but when created by the FinDivBrot-2 formula, they leap to life, their surround- ings bursting forth with the most surprising kinds of widespread features. Enough said about today's image. The rating of an everyday 7 means that the calculation time of a measly 40 seconds will not have been spent in vain if the image proves to be a let-down. It also means that if I had worked harder, I might have improved the coloring. Avoid the calculation altogether by checking the FOTD web site at: <http://www.crosscanpuzzles.com/Archives.html> The high-definition version is at: <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> And check the original FOTD web site at: <http://www.Nahee.com/FOTD/> Heat, haze and humidity prevailed here at Fractal Central on Wednesday. The fractal cats escaped the heat by lying on the cool tile of the bathroom floor; the humans chose the artificial coolness of the air conditionier. With all this taken into account, the next FOTD will be posted in 24 hours. Until then, take care, and if someone tells you they know all the answers, ask them why there are still questions. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= A_Great_Sea-Change { ; time=0:00:40.26-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=FinDivBrot-2 function=recip passes=1 center-mag=-1.251911971871246/+0.342786793999404/\ 5.2845e+011/1/-20/0 params=6/6000000/0/0 float=y maxiter=1500 inside=0 logmap=69 periodicity=6 colors=000kmzjkyiixhgwgevfcueatd_sdYrbWqaUp`So_QnZ\ OmYNkXLiWJgUHeTFcSEaRC_QAYP8WN6UK5TG4VC3P72K11F10A\ 005cccmqzzzztqltlRthLtcFtZ9tV3sT5rR7rP8qNApLBpJDoH\ EnFGnDImBJl9Ll7Mk5Ok3PbEYUOfLYoCgxCeyCdyCcyCbyC`yC\ _yCZyCYyCWzCVzCUzCTzCRzCQzCPzCOzVa5Tc5Rd5Pf5Nh5Mi5\ zzzZLVWMTSNSPOQMPPJQOGRMDSLATKAPNAMQAJSAGVACXA9_A6\ aA3dA0fD3eF5eH8eJAdLDdNFdPIcRKcTMcUNaVN`WN_XNZYOYZ\ OW_OV`OUaPTbPScPQdPPeQOfQNgQMhQLeZZbgleikgkjiliknh\ mogoqfqrestduucrrdpodnldlidjfegcee`ecZeaWf_TfXQfVN\ fTKgRHgPEgNCgYDYhEOrFErGFrHGrIHrJIrKIrLJrMKrNLrOMr\ PMrQNrROrSPrTQrTQsURsUSsUSsUTtUTtUUtUUtUVuVWuVWuVX\ uVXvVYvVYvVZvVZvSTvPOvMJvJEvG9vE4sH9pKEnMJkPOiRSfU\ XcXaaZfZakXcoWakV`gU_cUZ`TXXSWTSVQRUMQSIQRFPQBOP7O\ O4MR6KU7IW8GZAE`BDcCBfE9hF7kG5mI3pJ2rKDiOO`SYSW`RZ\ cR`fRbiRdkQgnQiqQktQmvQommYlgUlbRlYOlTLlOHlJElEBl9\ 8l45g8FcCO_GYVKfRalQclQdl } 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=========================================

1 0

FOTD 08-06-11 (The Inhuman Brain [7])
by Jim Muth 08 Jun '11

08 Jun '11

FOTD -- June 08, 2011 (Rating 7) Fractal visionaries and enthusiasts: Today's image, with its brain-like shape and complex networks, reminded me of a human brain. But it is not made of meat, it is made of numbers, so I named it "The Inhuman Brain". The image is part of a near-Julia view of the eastern extremity of the main bay of the (-Z)^(2.5)+C Mandeloid. It is not a Julia set, since it is rotated 45 minutes of arc away from the Julia orientation toward the Oblate orientation. Julia sets are 2-dimensional slices cut in a particular orientation through the 4-dimensional Julibrot figure. Today's image just misses the proper Julia direction. I rated the image at a 7, which is FOTD average. We have seen similar images several times in the past, so I could rate it no higher. The calculation time of 2-1/4 minutes is close to FOTD average also. As always, the completely calculated image is posted at: <http://www.crosscanpuzzles.com/Archives.html> along with the day's philosophizing. The hi-def version of the image is posted at: <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> Paul's FOTD web site may be accessed at: <http://www.Nahee.com/FOTD/> Things were reasonably pleasant here at Fractal Central on Tuesday. The hazy sky and temperature of 86F 30C made things seem quite summer-like. But summer is expected to come in much stronger on Wednesday, so we'll see what happens then. The fractal cats had no complaints about the weather, though they did appear annoyed with each other at times. The humans had a typical day. The next FOTD will be posted in 24 hours. Until then, take care, and watch out for that conscious universe. It knows what you're doing even when you're asleep. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= The_Inhuman_Brain { ; time=0:02:17.14-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=SliceJulibrot5 passes=1 center-mag=0.621705/0/8.385427/1/90/0 params=89.25/0/90/0/0.3831/0/0/0/2.5/0 float=y maxiter=64000 inside=255 logmap=6 periodicity=6 colors=000cSobUmaWj_YgZ_dXaaWcZUeWTgTRiQQkNOkGPlKQ\ mNQnQRoTSpWSqWSpZYn_`k`chaffbidclceobgraiu`kw_luZi\ tXgrVdqSboP_nMYlKVkITiGQhEOfCLeAJf7Gd8Hb8Ia8J_8KZ8\ LX9MW9NU9OT9PR9QQAROASNATLAUL8Uzn6no2lk4kh6je8ibAh\ _CgXEfTFeQHdNJcKLbHNaEPcCR`BQZBPWAOUANR9MP9LM9LK8K\ H8JF7IC7HA6G76F25B46D56F66H76J86LA7MB7OC7QD7SE7VG8\ XH8_I8bJ8eK8gL8hL8hN9jOAlPAnQBpRCrSCsTDuUEwVEyWFzX\ GzYGzZHzZHwZHtZHpZIlZIhZIdZI`ZJYZJVZJSZJPZKzZKzZKz\ bLz`KzZKzXKzVKzUKzSKzQKzOKzNKzLKzJKzHKzAMzGKzMIzRH\ zXFzaEzgCzlBzr9zx5zw8zvBzuDztGzsJzwCzrLznUzjazfjza\ xzbuzbrzcpzcmzdjzdhzeezebzQmzYfze`zmUzpRztOzsPzrPz\ qPzpQzoQzoQzmRzlRzjRziRzgRzfRzdRzcRzaRz`RzZRzYRzVS\ zSTzPTzMUzKUzHVzEVzBWz9WzDXzGYzJYzNZzQZzT_zX`z_`zb\ azfazibzlczpczsdzvdzqezlfzggzbhz_lzZhzYezXbzW_zVXz\ UUzUQzTNzSKzRHzQEzPBzP8zRCzSFzUIzVMzXPzYSzfZzodzwj\ zmXzdKzW7zZDz`IzbNzgOzeQz } frm:SliceJulibrot5 {; draws all slices of Julibrot pix=pixel, u=real(pix), v=imag(pix), a=pi*real(p1*0.0055555555555556), b=pi*imag(p1*0.0055555555555556), g=pi*real(p2*0.0055555555555556), d=pi*imag(p2*0.0055555555555556), ca=cos(a), cb=cos(b), sb=sin(b), cg=cos(g), sg=sin(g), cd=cos(d), sd=sin(d), p=u*cg*cd-v*(ca*sb*sg*cd+ca*cb*sd), q=u*cg*sd+v*(ca*cb*cd-ca*sb*sg*sd), r=u*sg+v*ca*sb*cg, s=v*sin(a), esc=imag(p5)+9 c=p+flip(q)+p3, z=r+flip(s)+p4: z=(-z)^(real(p5))+c |z|< esc } END PARAMETER FILE=========================================

1 0

FOTD 07-06-11 (Deep Blue Fantasy [7])
by Jim Muth 07 Jun '11

07 Jun '11

FOTD -- June 07, 2011 (Rating 8) Fractal visionaries and enthusiasts: Today's image is another one found in haste, but thanks to the extra coloring effort, emphasizing grays and blues, it rates a respectful 8. The scene lies in the west "Elephant Valley" of the Z^(3.003)+C Mandeloid, which, due to the fractional exponent, has broadened into a kind of wedge. It is located in the chaos along the southern edge of this wedge. We have been to this area several times before, but I think today's visit, with its carry-over 'fishbone' theme from yesterday and somber blue coloring, is the most productive yet. The tiny minibrot at the center is rather poorly defined, a flaw that could be eliminated by raising the maxiter. But doing this messes up the colors, so I let the image go as it is. After all, everyone knows what a cubic minibrot looks like. The calculation time of 3 minutes is a fair price to pay for the finished product. The finished image may be seen on the FOTD web site at: <http://www.crosscanpuzzles.com/Archives.html> without the need to calculate it. The image may be seen in high definition at: <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> The original FOTD web site may be accessed at: <http://www.Nahee.com/FOTD/> The string of perfect days continued here at Fractal Central on Monday, with blue skies, low humidity, puffy white decorator clouds and a temperature of 81F 27C. The fractal cats enjoyed the outdoor conditions from indoors, where they stretched on the carpet in solid comfort. The humans' day was not quite as comfortable, but still a notch above average. The next FOTD will be posted in 24 hours. Until then, take care, and if a worrier lacks something to worry about, something will be provided. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Deep_Blue_Fantasy { ; time=0:03:26.85-SF5 on P4-2000 reset=2004 type=formula formulafile=slices.frm formulaname=MandelbrotN passes=1 center-mag=-0.386\ 8917576744657/-0.00190443108910178/1.911204e+010 params=3.003/0/0/0/0/0 float=y maxiter=3600 inside=255 logmap=471 periodicity=6 colors=000CHRDIREJTFKXGLXHMZIN_JOaKPbIQdHReFSgEShC\ TiATk9Ul7Un5Uo4Vq2Vr1Vs0PX0KBECOR5_T9XVCUXFRZIO`LL\ bPIdSFfVChY9j`7e`9a_BYcDUbFQaHM`IO`JP`KRWKSRLUSLVS\ MXSMYNNZJNaOScSXeWag_fidkkhpmlutuzjmvbeoWYgOR`GJTF\ IT9CN37IEFMONPPLOQKNRJMSILTHKUGJVFJWEIXDHYCGZBF_AE\ `9Da8DZCKWFQTIWYMWaQWkSEfXJb`NYeRUiVPmZLrbGvfCzjGx\ kKvlOulSsmWqn_pngN0jR7lVEnZLpbRrfYtjdvnkxrqqkpjdpc\ ZoXSoQLnJFnPNl_YrggynpzadeZ_aWUYTPUQJQOENMJQ`LvbOp\ m132HNgmgfgheaidWjDwXMkaV`fO`tSYqWVo_SmM7`VHfaOkbP\ kcQkwWtVaPby_ViOOVCKa9Gh7Co59v3IgBRTI_FPeIJjLDJO70\ Q_2dZC`bkbeLXeVThz89zEMfKZ1LAENNRP_sjNodUk__gVe0ci\ A_jDJRCIQBGPAFPIEd8DN7BN6AM59L47L36K25J24J36I47I58\ H69H6BG7CG8DG9EFAFFAHEBIECJDDKDDKDEKCFKCGKBHKBHKAI\ KAJKAKK9LA9LA8MA8NA7OA7OA7MAALADKAGIAJHAMGAPEASDAV\ C3YB0_C0ZD0ZE0ZE0ZF0ZG0ZH0YH0YI0YJ0YJ0YK0YL0XM0XM0\ XN0XO0XO0XO0WO0VO0UO0Uzzz } frm:MandelbrotN {; Jim Muth b=p1, z=p2, c=p3+pixel: z=z^(b)+c, |z| <= 16 } END PARAMETER FILE=========================================

1 0

FOTD 06-06-11 (Fishbone [7])
by Jim Muth 06 Jun '11

06 Jun '11

FOTD -- June 06, 2011 (Rating 7) Fractal visionaries and enthusiasts: Sometimes when I'm writing these FOTD discussions I feel like a merchant trying not to sell his goods. (It's not so unusual. After all, we hear electric power companies all the time telling us to use less of their product.) But I believe in honesty in fractal talk as well as in advertising, so I admit my fractal shortcomings. In today's image I'm playing catch-up fractaling, and the quality appears to have suffered. I managed to get the quality of today's image up from a rating of a lowly 5 to a rating of an average 7. It's an improvement over yesterday for sure, but still leaves us well below FOTD top quality. But an image is an image, and even though it's late, today we have an image. The parent fractal came about when I combined 0.001 part of Z^1001 with straight Z before adding straight C on every iteration. This uninspiring combination produces a parent fractal that is little more than a vague circle with a bit of action at its eastern extremity. Zooming in on this action reveals a tiny distorted Mandeloid and a section of the large circular arc, which in its entirety consists of 1000 lobes. Today's scene lies toward the rounded tip of the lobe closest to the Mandeloid. I named the image "Fishbone" because that's what came to mind as I studied it in search of a name. (The search was a short one.) The calculation time of 3-3/4 minutes will pass un-noticed. The finished image is available on the FOTD web site at: <http://www.crosscanpuzzles.com/Archives.html> The image is available in high definition at: <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> The classic FOTD web site with fractal images from as far back as April 1997 may be accessed at: <http://www.Nahee.com/FOTD/> The weather has been pretty pleasant for the past few days here at Fractal Central, with lots of sun and near normal tempera- tures around 79F 26C. I have been passing time trying to get the FOTD caught up. Maybe I should have simply skipped the FOTD for June 5. At least the fractal cats are sharing the work load, giving morale support when the fractaling gets rough. The next FOTD, the one for June 7, will likely be posted in a few hours. Until then, take care, and be ready for what may come. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Fishbone { ; time=0:03:44.13-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=MandAutoCritInZ function=ident float=y center-mag=+0.00857153940435359/-0.000026928341367\ 55/1.44275e+008/1/180 params=1/1/0.001/1001/0/0/0/0 maxiter=4800 inside=0 logmap=663 periodicity=6 colors=0006B`7CW8CQ9DLAEGBABDXsJToOQlTNiYJebGbgD__\ 4aX7_UAZSCYPFXNIVKKUHNTFQSCSQAVP7YO5_N8YMBXLDWKGVJ\ IUJLTINSHQRGTQFVPFYOE_NDbMCdLCfOAhR8jU6lX5n_3pb1re\ 0sd2sc3sb5ta6t`8t_9uZAuZCuYDvXFvWGvVHwUJwTKwTMxSNx\ ROxQQyPRyOTyNUyNVxLZxKbxIfxHjwGnwErwDvwCynDtfDpZDk\ RDgJDcHL_FSWD_SBfOCeNDdMEcMFbLGaKG`KH_JIZJJYIKXHLW\ HLVGMUGNTFOSEPREQQDQPDRJZSDtUMiWV_YcQZkGU6jU6kU6kV\ 6lV6mV6m_DgdJbiQYnWSsbNLRJRNCXI6bE049k5Aern6jmBclG\ XkLPjQIiVBh_4hd5fe5de6bf6af6_g7Yg7Wh7Vh8Yl9_oAbsBd\ vCfyKcySay__ygYynWybfuRpqSirScrTXrTRrUKsUEsV7sV1s_\ 5fd8VZKMjWDlg4jfDieLhdTfcaebidaqcayeYtfUohRkiNfkJa\ lGYnCTo9PnMRmYSljTqvmScyWQbZCHiV`sltpjnnihlgcjfYhe\ SfcNdbHbaCZ_GVZJSYMOXPKWSHVVDUYUTzDUbFVdHWfJWgLXiN\ YkPZmcZnMcmHglDkk8oj4siApbGmXLwRRmKXmEam8pmtomhomX\ omLomAKmmLmnMmnNmnOmnQmLVmfXzUYzH4zbKzL4zYFzOPzEfz\ abzLtzADz`LzQSzFmzLizGezC } 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=========================================

1 0

FOTD 05-06-11 (Iterative Old One [5])
by Jim Muth 06 Jun '11

06 Jun '11

FOTD -- June 05, 2011 (Rating 5) Fractal visionaries and enthusiasts: Due to an antiquing expedition on Saturday, today's image is a super-quickie, both in calculation time and the time I spent creating it. It came about when I casually subtracted 0.67 part of (1/Z) from 0.67 part of Z^2, which resulted in a parent fractal consisting of a single large distorted Mandeloid with disconnected debris scattered around it. The north period-3 bud is the largest bud on the main bay of this parent Mandeloid. This bud has a prominent zig-zagging filament extending from it and terminating in a jagged string of connected holes. The string of holes is mirrored many times in today's image, which is located near the point where the filament joins the string. The image rates a 5, about as low as an image can go and still qualify for FOTD status. The name "Iterative Old One" does not refer to the fractalist. It refers to the image, which had potentially existed for all eternity before I stumbled upon it. The calculation time of 20 seconds is about as fast as an image can be, (unless the image is type=mandel or type=julia). The finished image is posted at: <http://www.crosscanpuzzles.com/Archives.html> The high-definition version is at: <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> The original web site is at: <http://www.Nahee.com/FOTD/> Saturday here at Fractal central began sunny, but clouds moved in during the afternoon and built until a lively thunder-shower erupted at nightfall. The fractal cats had no complaints about the temperature of 77F 25C, but did not enjoy the noisy thunder. Meanwhile the humans had an acceptably pleasant day. The next FOTD will be posted within 24 hours. Until next time, take care, and if you hate those big greedy corporations that pollute the environment and take money from the people, punish them by no longer using their products. But if you need these products to maintain your life style, don't make yourself a hypocrite by speaking out and protesting. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Iterative_Old_One { ; time=0:00:20.60-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=MandAutoCritInZ function=ident float=y center-mag=+0.5565691575516971/+0.5157652874537672\ /1.39e+009/1/-37.5/0 params=0.67/2/-0.67/-1/0/0/0/0 maxiter=312 inside=0 logmap=48 periodicity=6 colors=000hQCjTDlWEnZFpaGrdHthRtl`vqjwuszzz0AA4GF7\ NKAUPD_TGdYJiaMmfOojRmmTjhVbcDAKB8F96A655430210sbf\ q`do_cmZakX`iWZgVYeTWdSVbRU`QSgoChnEinFinHjnIjnKkn\ LknMlnOmnPmnRnnSnnUonVonWmkTkiRigOgeMecJcaHa_E_YCY\ W9WU7US4SQ2YMAbIHgEPlAWq6cv2jt1gs1dr1aq1Zp1Wz1Tz1Q\ z1Nz0Kz0Hz0Ez0Bz08z05z02z00z01z02z03z03z04zz5zz6zz\ 6zz5zz4zz3zz2zz1zzFzzDzzBzzAzz8zz6zz5zz3zz1zz9zz8z\ z7zz6zz5zz4zz4zz3zz2zz1zz0zzEzzDzzCzzCmzBkzBhzAfzA\ cz9az8_z8Xz7Vz7Sz6Qz6Oz5Lz5Jz4Gz3Ez3Cz29z27z14z12z\ 0Fz6Ez5Dz5Cz4Bz4Az49z38z37z36z25z24z13z12z11z00z0z\ zbwz`tzZrzYozWlzUjzTgzRezQbzO_zMYzLVzJSzHQzGNzELzD\ IzBFz9Dz8Az67z45z32z1AzW9zU8zS8zQ7zO7zN6zL6zJ5zH5z\ G4zE3zC3zA2z82z71z51z30z1pzymzujzrgzndzkazgZzdWz`T\ zYQzVNzRKzOHzKEzHBzD8zA5z62z37z16z06z05z05z04z04z0\ 4z03z03z02z02z02z01z01z00z0ez2gz2hz2iz2kz2lz2mz2oz\ 3pz3qz3sz3tz3uz3wz3xz3yi3 } 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=========================================

1 0

Re: [Fractint] AOTD 5_8_11
by JackOfTradeZ＠comcast.net 05 Jun '11

05 Jun '11

. Animation of FOTD 5/3/11 "Most Unexpected" is posted: http://www.fractal-animation.net/vid/ttlg.zip It is 34 Meg, running time 2 minutes. Strange. There are "windows" of complexity immersed in "seas" of relative simplicity. Almost look like 3D objects jumping out at you in the hi-rez 1024 AVI. <i>Through the Looking Glass</i> Enjoy. Comments welcome. JoTz .

4 4

FOTD 04-06-11 (A Minibrot in Heaven [8])
by Jim Muth 03 Jun '11

03 Jun '11

FOTD -- June 04, 2011 (Rating 8) Fractal visionaries and enthusiasts: Today's image is named "A Minibrot in Heaven". My concept of heaven is a place that everyone says is wonderful, but no one wants to go to. In my opinion, the reason for this contradic- tion is that we're not sure that heaven really exists. In a world built on science, faith does not carry the power it once did, and the world's religions appear helpless to do anything about it. What do I think of all this? Well, I spend time wondering whether there are fractals in heaven. Today's image offers a little hope of the beyond. It shows a minibrot floating through the etherial realm of heaven. This is the same minibrot that I mentioned in yesterday's discussion, and indeed, yesterday's scene lies within the brilliant white arc just southwest of the minibrot in today's scene. Just as in yesterday's image, the better part of today's image is inside stuff made visible by the 'bof60' inside fill. A good part of the outside stuff has evaporated away. The image rates an 8. It might have rated as high as a 9 if the muddy left-over 'outside' debris in the upper part had not been so intrusive. There could be a way to eliminate this stuff, but once again laziness overtook me and I decided to let the image go as is. The calculation time of under 1-1/2 minutes will test the patience of no one. The completed image is posted on the FOTD web site at: <http://www.crosscanpuzzles.com/Archives.html> The high-definition version of the image may be accessed at: <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> The 14-year-old classic FOTD web site may be accessed at: <http://www.Nahee.com/FOTD/> Friday here at Fractal Central was another perfect early June day. The temperature of 77F 25C is right in the middle of the comfort range, and the humidity of 45 percent simply added to the comfort. The fractal cats spent most of the day being comfortable, doing what cats do when they are comfortable. They stretched out on the carpet. The day of the humans, (not to be confused with the day of the triffids), was slow. FL got caught up on some gardening, while I got caught up on some fractals. The next FOTD is due in 24 hours, but if one of those antiquing expeditions comes up, it might be late. Until whenever, take care, and what if we dis- cover that heaven is really not there? . . . Gulp!! Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Minibrot_in_Heaven { ; time=0:01:25.23-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=MandAutoCritInZ function=recip passes=1 center-mag=1.19207/-0.0303/5.911591/1/-110/0 params=-7/-1.7/-0.7/-7.7/0/2500/0/0 float=y maxiter=1500 inside=bof60 periodicity=6 colors=0007UA8UB8UC9VDIUfAWEAWFBLSBbhCRIRezDKKDZWE\ UMRfmK_NRboD`OPejC`OCacBaPBdiBbQBbQAcQAcRAdR9dR9dS\ 9eS8eS8fT8fT8fTDcSHaSMZSQXSUVS`SQzzzzzzzzzvwzrtzmq\ zhnwcltZjqVhnQfkOdhKbeH`dFZc00L20M40N80OC0SG0WK0_O\ 1cS2cW3d_4dc7eg9ekBeTEeWGeZIf`LfcNffPfhSfkUgnWgpZg\ s`gvbgxdgsednebif`efZ`fXWgVSgTNhRIhPEhNHjOKkONlOPm\ PSnPVoPXqQ_rQbsQdtRguRjvRlwRksPjoNilLhhJgdHfaGeYEd\ UCcRAbN8aJ6aG5cJ7eM9gPAiSCkVDmYFo`GqcIsfJuiLvlMrmN\ omOkmOhmPdmQamQYmRVmSRmSOmTKmUHmUDmVAmW7mWHfJQ_7SX\ BUVFVTIXRMYPP_NT`LWbJ_cHbaLd_PeZTfXXgW`hUdiThjRlkQ\ plOtmNxnLuhKrcJpZImUHkPLiTPgXTe_Xcc_agc_jgYnkWrnVu\ oWqoWmpWipXfqXbqXZqXWrYSrYOsYKsZHtZDtZ9tZ6fW5UU4GR\ 33P25Q47R58S6AT7CU8DV9FWBHXCIYDKZEM_FN`GP_FQZERYDS\ XDTWCUVBVUBWTAXS9YR9ZQ8_P7`O7`O7_O8_O8ZN8ZN8YN8YM9\ XM9XM9WM9WL9VL9VLAULAUKATKATKACBGSKASJBRJBRJBQIBQI\ BPICPICOHC4R55S66S76T87T9 } 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=========================================

1 0