December 2007 - Fractint - mailman.xmission.com

FOTD 23-12-07 (Circles of Numbers [6])
by Jim Muth 22 Dec '07

22 Dec '07

FOTD -- December 23, 2007 (Rating 6) Fractal visionaries and enthusiasts: As promised, today's image shows the minibrot that lay invisibly at the center of yesterday's image. One glance shows why such deep minibrots are disappointing. The elements around the mini- brot are intricate enough, but they are so finely divided as to be almost meaningless, and they are arranged in perfectly boring perfect circles. This circularity explains the name "Circles of Numbers". In fact, it appears that, as we approach the minibrot, the circu- lar bands of elements start to take the shape of the equal itera- ion bands of the parent Mandelbrot set. It could be interesting to check if this is true, but the calculation would be extremely slow, and will have to wait until another day. The rating of a 6 indicates that I was much more pleased with the scenery on the way to today's minibrot than I was with what I saw when I got there. This is true of all extremely deep mini- brots. The most interesting parts of the basins are so far out from the center that the minibrots at the center are usually in- visible. Another drawback of course is the extreme calculation time, which in today's image is over an hour on the fast machine and over 4 hours on the slow one. But this will be no problem for those who view the finished image on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Heavy clouds and a temperature of 43F 6C made Saturday just an- other first day of winter here at Fractal Central. The fractal cats made the most of the brief daylight hours by watching all afternoon for intruders. In that time, they saw one dog pass by. My day was occupied by holiday preparations. The next FOTD will appear in 24 hours. Until then, take care, and a few nights ago I dreamed of a mountain. Then someone told me that the mountain was not real; it was all inside my head. This might be true, but my head is much too small to hold a moun- tain. I am now totally confused. What is the real size of the mountain I dreamed of? Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Circles_of_Numbers { ; time=1:06:19.02-SF5 on P4-2000 reset=2004 type=mandel passes=1 center-mag=-0.825815776368296644495089770635123369\ 097730630839395359625564/0.18537815042145875449626\ 1784978523032875728204898436494525519/2.602102e+05\ 5/1/-148.75/1.3107570584481e-014 params=0/0 float=y maxiter=30000 bailout=100 inside=0 periodicity=10 colors=000XLLWNMUOMSPMRQMPRMNSMMUNKVNIWNHXNFYND_OD\ _OD`PCaQCbRBcSBdSAeTAfUAgV9hW9iW8jX8kY7lZ7m_6n`Cj`\ Ie`OaaVXa`TafOblKbsFcnJaiOZcTWZYTTbQX_TUbSReRPhRMk\ QJnPzqPztOzwNzzMztNzqNzmMzjMzfLvcLr`LmXKhUKcQJZNJU\ KJPGIKDIK9HK6HK2GK5GK8FKBEKFDKICKLCKOBKSAKV9LY8Na7\ LX9LWBLVCaQOcPPeORfNShMTjKUlJWnKXpM_rObpQenShkUkhV\ neWpeWndVkdVhcUebUbbT_aTW`ST`SQ_SM_SJZSGYSCYT9XU6W\ V2VW2TX3RY4Q`4Oc5Kf6Kj6Km7Kq8Km7Km8Jn8Kn9Mo9OoAQpA\ SpBUpCWqCYqD_rDarEcsEesFgsGitGktHmuHmuImvImvJmw0mw\ LmvMmuNmtPmsQmsRmrSmqUmpVmoWmoXmnZmm_hl`ckaZjcVhaR\ e_PbXN_VLXSJUQHROFOLDLJAIGBJGDKHEMIGNJHOKJQLKRLMSM\ NUNPVOQWPSYQTZRV_RWaSYbTZcU`eVafWchXbgZaf``ec_deZc\ gXbjWalV`nU_qTZsRYvTZsS_sR`sQasQZsPXsOWtNYtNZuM`uL\ bvKdvKewJgwIixHjxHjyGkyFlzEmzEmzDnzCozBpzEqzGryJnw\ LjuNfsQbqSZoUWkXTgZRc`O_cMWeJTgHRjEOlCMn9Kq6HmAKkB\ KjCKhDKfEKeGLcHLaIL`JLZKL } END PARAMETER FILE=========================================

1 0

FOTD 22-12-07 (Halfway to Nowhere [8.5])
by Jim Muth 22 Dec '07

22 Dec '07

FOTD -- December 22, 2007 (Rating 8.5) Fractal visionaries and enthusiasts: Today and tomorrow we take a brief break from scenes in the December parent fractal to dive quite deep into the Mandelbrot set for a view of one of the most unusual scenes I have yet discovered there. The location is on the northeast shore line of the large period-2 bud of the M-set, at a location near the border of Seahorse Valley where the Seahorse Valley character- istics are just starting to take shape. By the way, don't exert to much effort diving down to see the minibrot at the center. It's a long slow trip, and I am almost there myself. Tomorrow's FOTD will be a picture of that tiny atom. I named today's image "Halfway to Nowhere" because the scene lies about halfway to the unseen minibrot at the center. But even though we are only halfway to the goal in today's image, the magnitude of over 8.4(10^47) is not to be sneezed at, or coughed at either. The rating of 8-1/2 has nothing to do with an old Fellini movie. It indicates that, in my opinion, not only is the image much above average, but my coloring is worth another half point as well. The down-side is the calculation time, which, due to the extreme magnitude, is a dragged-out 22 minutes on the fast machine and over 1-1/2 hours on the slow one. Slow images like this make a fractalist appreciate the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> where the image will soon be posted for viewing without the hassle of calculation. And to speed things up I have sent the finished image on ahead to Paul to save him the time it would take to run the parameter file. Of course, those who enjoy long calculations may always run the parameter file themselves. It works quite well. Friday here at Fractal central started cloudy, turned sunny by 11am, clouded up at 2pm and cleared at 5pm, while the tempera- ture reached 43F 6C. Since this was the shortest day of the year, I think we did pretty good. The fractal cats must have agreed, for they passed the day watching squirrels. My day was on the busy side, but still well under control. The next FOTD fractal, a close-up of the invisible minibrot at the center of today's image, will be posted in 24 hours. Until then, take care, and how deep can you go? Check back tomorrow for a demonstration Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Halfway_to_Nowhere { ; time=0:21:55.90-SF5 on P4-2000 reset=2004 type=mandel center-mag=-0.8258157763682\ 966444950897706351233690977306308393979/0.18537815\ 04214587544962617849785230328757282048984375/\ 8.4e+047/1/-158.75/1.31e-014 params=0/0 float=y maxiter=10000 bailout=100 inside=0 periodicity=10 colors=000Z9Vt9XpKVlVUheSeoRclUajX`h_ZfbYdeWagV_jT\ YmSWpQUsOTzPSuQSpRSkSSfTSaUSXVRTWROXRJYREZR9_R4_R0\ WO5SL9OIEKFI96BGCMNHWTMeWNbZO``PZcQWeRUhSSlROjSQhS\ RfTSeTTcTUaUV`UWZUXXVYVVZUW_SW`QWaPXbNXcLXdJYeIYfG\ ZgEZhDZiB_j9_k9Zo8_l8_i7_g7_d7_b6__6_Y6`V5`S5`Q5`N\ 4`L4`I2_H4`G6aF7aF9bEAbECcDEdDFdCHeCIeBKfBLfANgAPh\ 9Qh9Si8Ti8Vj7Wj7WhAWgCWfEWeGWdIWbKWaMW`OW_RWZTWYVW\ WXWVZWU`WSbWRdWPfZLjWLgULdRLbPL_NLYKLVILTGLQDLNBLL\ 9LI6LG4LD2LB6PAAT9EX8I`7Md6Qh5Ul4Yp3at2ew2fx4gx5hx\ 7ix8jx9kxBkxClyDmyFnyGoyIpyKqyMqyOowQmuSksUiqWgoYe\ m_ckaaib_hgYieWidUicSibQiaPi`Si_WiZZiYbiXeiWiiVliU\ piTsiSqcToYUnSVlMWjGXiAYg9Uf9Re9Od9Lb9Ha9E`9B_98Z9\ 5`B7bD9dEAfGChHEjJFlKHnMJpNKrPMsQNqROpROoROmROlROk\ RPjRPhRPgRPfRPeRQcRQbRQaRQ`RQbTRcUSdWTeXTfYUg_Vh`V\ ibWjcXkdXlfYmgZnhZmhXmhVlhTceI`aJYYKVULSQMPMNMIOJE\ PGAQiLagNbeQcr`kcSdQJZCAT } END PARAMETER FILE=========================================

1 0

FOTD for Dec. 22
by JimMuth＠aol.com 22 Dec '07

22 Dec '07

1 0

FOTD 21-12-07 (No Ambiguity Here [7.25])
by Jim Muth 20 Dec '07

20 Dec '07

FOTD -- December 21, 2007 (Rating 7.25) Fractal visionaries and enthusiasts: I found today's image on a side filament of the main spike of the December parent fractal. Of course, it's questionable whether a feature so small that a microscope is needed to make it visible can actually be considered anything main. I named the image "No Ambiguity Here". Your guess is as good as mine as to the meaning of the name. I rated the image at a 7. I almost gave myself an extra half point for the coloring, but then I decided I didn't like the off-green, which gives the whole picture a rather unpleasant feeling. I rather enjoy the celestial blue areas behind the earthy green however, so I finally relented and rewarded myself a full quarter point for the coloring. The calculation time of a brisk 32 seconds means near instant satisfaction for all those who run the included parameter file. Those who do not run parameter files may still enjoy the image by surfing to the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> and viewing it in finished form there. Thursday turned out notably un-notable here at Fractal Central, with partly cloudy skies, a temperature of 41F 5C and melting ice. The fractal cats spent the day in meditation;I spent the day in work. The next FOTD will appear in 24 hours. Until then, take care, and avoid redundancy. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= No_Ambiguity_Here { ; time=0:00:32.07-SF5 on P4-2000 reset=2004 type=formula formulafile=allinone.frm formulaname=MandAutoCritInZ function=recip passes=1 center-mag=-2.832783439347563/+0.5032633458298688/\ 1.989567e+008/1/155/0.000454344359649368201 params=-2.475/-1.05/-0.275/-5.5/0/0/0/0 float=y maxiter=380 inside=0 logmap=48 periodicity=10 colors=058bWz`WzO7qYWzUPQUWzWPLRWzUOKVRITNHSOCRMBO\ M6PL3IO0MK0ER0KI0KXKRcnXzzzzRibqkoqzdhwRqr9iw0qw0i\ w0qw0qw2qw6qwBqwGqwLqwNquRqoVqmZqdbqckqbpqWPqO2qQ0\ qO0qJ0qE0q80q20q20q40q20q50q83qEEqJKqPTqU`qZnhbqZi\ qRnqLnqEmqNnjUjPbd9n_0qZ0qT0qO0qN5qIFoHQnEbl9kd5qa\ 2qY2qU2qS2qO2qN2qN6qNCqPKqOQqQZqReqTsqUwkWweVwXVwQ\ UwKWwIWwFLqGD`H3MJ0VR0cX4kaBqiDwoJwqNwqPwqTwq_wqfw\ qhwqnwqqwnqrmqliqhlqgmqfnqfnqegqecqg_ql`qq`quXqvTn\ vQcuNYuMPuJIvEBuB2uA0wB0wF0wH0wH1wK1wK4wJ6wL6wO8wO\ 8uK6qH5nG3kB1h70e50a7D`7PW8_Q6hK5oH4q75q64q24q23q2\ 3q26q5BqMKqbSquaYwhGwn0wq0wq0wqIwqXrqkfqqaqqeqqfqq\ hdqu`qwUqwMqwBqw3qw0qw0pw0nw0iw6dwJ_wYZwkXwqUwqU2m\ 5Vq0wq0wq3wq8wqCwqFwqJwqNwqQwqTwqXwqZwqbwqewniwcnw\ _qwUquMqoFqi7qd0qZ0qZ0qb0qi0ql0qs0qw0qw0qw0iw0bw0U\ w0Mw0Lw2Dw6CwE9wH8wO6wS1wa0wc0wi0wp0wq0wq0wq0wq0wq\ 0wq0DNqDEqD6qE0qI0qI0qI0q } 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 20-12-07 (As Far As It Goes [6.5])
by Jim Muth 20 Dec '07

20 Dec '07

FOTD -- December 20, 2007 (Rating 6.5) Fractal visionaries and enthusiasts: I passed an hour or so Wednesday afternoon pondering the much sought after theory of everything (except self-awareness, that is). I have lost track of the current leader of the pack of theories, but the last time I checked, M-theory, which is sup- posed to explain everything including the cause of the 'big bang', was coming on strong. I think this theory requires 11 dimensions, though I heard somewhere that a 12th dimension, which would be a second dimension of time, might be needed to get the numbers to add up. What would it be like to live in a universe with two temporal dimensions. We would no longer be trapped on a line moving ineluctably into the future. We would be able to move sideways in time, to circle around and experience the same event again and again, from different directions. Of course, it would be impossible to predict the future, if there even was a past and a future, because we would be able to choose any part of the future we preferred. And what would happen to fractals such as the Mandelbrot set in a 12-dimensional world? Speaking of fractals, today's image takes us to the southernmost fringes of the parent fractal for December, all the way to the terminal ring of the filament extending from the period-14 bud. The image is nominally interesting, and I have named it "As Far As It Goes". The name refers to the magnitude, which has just exceeded the limit of resolution. 5*(10^9) is not an unusually large magnitude, but the decimal point has been shifted several places in the calculation, making this magnitude as large as resolution will permit. Considering the lack of sharpness and the lack of oomph in the colors, I rated the image at a 6-1/2. My coloring is not included in this rating; the basic image earns the entire 6.5 points. The parameter file is quite a fast one, finishing as it does in a supersonic 1-3/4 minutes. And if even this is too slow, the completed image is or soon will be available on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Heavy clouds all morning, light flurries of snow all afternoon, and a temperature that hung around freezing all day made Wednes- day of questionable worth here at Fractal Central. The fractal cats wondered why the dog that hung around the neighborhood for several hours did not go home and get warm. I had another notably average day. The next FOTD will be posted in 24 hours. Until then, take care, and when I posted the first FOTD to the Fractal Art list almost 11 years ago, I expected to post one or two more before I grew tired of it. I guess I was wrong. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= As_Far_As_It_Goes { ; time=0:01:45.12-SF5 on P4-2000 reset=2004 type=formula formulafile=allinone.frm formulaname=MandAutoCritInZ function=recip center-mag=-56.69915584369026/-148.8951750514287/\ 5.10025e+009/1/-2.5/2.26305686272451623e-005 params=-2.475/-1.05/-0.275/-5.5/0/0/0/0 float=y maxiter=1200 inside=255 logmap=162 periodicity=10 mathtolerance=0.05/1 colors=000BBNBBMDDRBBLDERBBJDGQB9IDGQBBLJEGBDB4E80\ N20a00Y00n1Bi8QtEbqJqzQstXzzazxdzzfxtgwwipqklqldln\ blpXgsRftNdwIaxD_z8Xz2Tz0Rz0Vx0Xq0Yk0ad0bY0dR0gL0i\ E0k80n10p00q00s00p04n0Dl0Ji2Rg8qfEgdJxaOw_TzYYzXbz\ NgTDl84pB9aEENIJ8GIEGIJEGQEGVEE_DEfDDkDDpLJqRQsYXs\ datkgtqnwxtwzzxzzxzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzznzfTObQOaOO_NOYJOVIOTGORDOQBON9OL6OJ4OD4N\ I1OJ1QN1TO1TR0VT0YX0_Y0aa0ab0bf0fg0fk0gl0ip0kq0lt0\ nw0px0qz0sz0tz0wz0xz0zz0zz0zz0zz0zz0zz0zz0zz0zz0zz\ 0zz0zz1zz4zz8zx9zwBzsDzpGznIzkJzgLzdOxaQx_RxXTwTXw\ QYwN_tLatIdtDfs9gs4iw8isBgpEglIfiLffOdbQdaTbYXbTYa\ QaaNd_Jf_IdXJdVJdTLbRLbQNbONbNNaLOaJOaIQaGQ_ET_DT_\ BT_9TY8TY6VY4VY1VX0YX0YX0_X0_V0aV0aV0aV0aT0aT0bT0b\ J0fO0fT0bY0ab0ag0_l0Yq0Vw0VzELzTBzi2zw0zz0zz0zz0zz\ 0zz0zz0zz18GV9EVDBTE9TG6T } 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 19-12-07 (Iterating Anvils [7])
by Jim Muth 19 Dec '07

19 Dec '07

FOTD -- December 19, 2007 (Rating 7) Fractal visionaries and enthusiasts: Today's image has been totally evaporated. Every point is 'trapped'. All 'outside' stuff has long since dried out and blown away, yet the image is still visible. It is visible because it was resurrected by the 'bof61' inside fill. The scene is located deep on the wrong side of the south branch of East Valley of the December parent fractal. The wrong side is the east side, which forms the southwestern shore line of the extra bay east of East Valley. The rating of a 7 was easy to decide on. The image seemed to be a perfect 7 from the first time I saw the top half of it. The calculation time of 8-1/3 minutes could be shorter, but relief is at hand on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> where the finished image may be viewed without effort. Much improved conditions prevailed here at Fractal Central on Tuesday. Sunny skies, light winds, and a temperature of 37F 3C set the ice melting process into high gear. The fractal cats spent much of the day at their window, though they were a bit startled when a cluster of icicles fell from the roof next door. A generous treat of tuna quickly soothed their ruffled nerves. My day was typical and tomorrow will likely be a repeat. The next FOTD will be posted in 24 hours, more or less. Until then, take care, and watch for signs of life in the world of fractals. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Iterating_Anvils { ; time=0:08:18.94-SF5 on P4-2000 reset=2004 type=formula formulafile=allinone.frm formulaname=MandAutoCritInZ function=recip center-mag=-1.973719968089898/-14.660171066901/\ 1.290328e+007/1/-122.5/-3.81178635387724452e-006 params=-2.475/-1.05/-0.275/-5.5/0/1e+100/0/0 float=y maxiter=5200 inside=bof61 periodicity=10 colors=000Ak6Ck6Dk6Fk6Hi5Ii5Ki5Mi5Nh4Ph4Rh4Sh4Ue4V\ e4Xe4Ye4`d4ad4cd4dd4fd4gb4ib4kb4lb4na4oa4qa4ra4t_4\ u_4w_4y_4zZ4zZ4zZ4zZ4zZ4u_6l_Ic_UVaeMapCasAas3as4b\ s4bs6ds6ds8ds8es8esAhsAhsChsCisDisDksDkszXhzXkzZpz\ Zsz_sz_szaszaszaszbswbsobkibdabXUbNNbFFb56b40d40b4\ 0b40b41b41b43b43b44b46b46b48b48b4Aa5Aa5Ca6Ca8DaAFa\ BFaDHaFHaFIaGIaIKaKM_LM_NN_ON_OP_QP_RR_UR_VS_XU_YU\ _YV__VZ`XZbXZdYZe`Zg`ZgaZhaZjcZkcZmdZnlXsgZsdZna_m\ __lZ_kY_k`Kk0BsI8s`8sq8sz8sz8pz8nz8mz8kz8jz8hz8gy8\ ew8bu8`t8_r8Yq8Xo8Vn8Ul8Rk8Oi8Ng8Lf8Kc8I`8GX8FU8DS\ 8DR8BP8BN8BN8BM8BH8BI8BI8BH9BFBBFCBFPAFQAFRAHSA0Nc\ FUADVADWACXAAYA3Y86_A8_AA_A0PhF_AH_AIaAKaBMaBP`BR_\ BSZBU_B0IVYZD`ZDaZDcZDf_Dg_Di_Dk_Fn_Fo_FqaFraFtaFw\ aFyaGzaGzbGzcGzdGzgGzkGzgNzkKzdIzbGz`FzXDxVBwPArO8\ oG6lC5i84d84a84Y84V84U84S84S84R84P94PB4NE4MI4ML4KP\ 4IS4IU4HX5F_5Fb5De6Ci68l8 } 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 18-12-07 (Squeamish Squirming [6.5])
by Jim Muth 18 Dec '07

18 Dec '07

FOTD -- December 18, 2007 (Rating 6.5) Fractal visionaries and enthusiasts: Today's glorious (IMO) image lies in the decoration surrounding the large northwestern ring of the parent fractal for December. I named it "Squeamish Squirming" because the words sound rather comical when used together, and the image actually is a bit on the comical side. The rating of a 6-1/2 includes the usual half-point reward for my superb (once again IMO) coloring. And why not? After all, it really is difficult to achieve reasonably smooth gradations with only 256 colors to work with. After yesterday's fractal, which calculated about as fast as silly putty flows, today's image, with its FTL calculation time of 46 seconds, will seem like a well-earnrd reward. So why not reward yourself? Save this entire message in your Fractint directory in text format with a .par extension and run it like any other parameter file. Unfortunately, in this advanced computer age, DOS applications and the trimmings that go with them are about as up-to-date as magic lanterns. If your machine is over-qualified for Fractint, leaving you in the dark, the image may be viewed on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Cold biting winds, ice-covered pavements, and a temperature just below freezing made Monday a day to be forgotten here at New Fractal Central. The fractal cats forgot the day before it was half finished. They were more interested in keeping as warm as possible and being fed as often as possible. For me the day was uneventful. The necessary work was behind me by lunch time, leaving the afternoon for the un-necessary work of finding fractals. Today's image shows that I was moderately successful. The next in the long series of FOTD images will appear here in 24 hours. Until then, take care, and here on earth the universe is 13,700,000,000 years old. But in a proto- galaxy 12,000,000,000 light-years distant from earth it is only 1,700.000.000 years old. What then is the true universal age of the universe? (I suspect the question is meaningless.) Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= SqueamishSquirming { ; time=0:00:46.48-SF5 on P4-2000 reset=2004 type=formula formulafile=allinone.frm formulaname=MandAutoCritInZ function=recip center-mag=-162.263/97.246/36.71293/1/-165/0 params=-2.475/-1.05/-0.275/-5.5/0/0/0/0 float=y maxiter=1000 inside=255 logmap=56 periodicity=10 colors=000dVKdVKfWKfXKhYKhZKj_Kj`KlaKlbKncKndKpeKp\ fKrgJrhHtjEskCvmAtn7upQvp3wqXxq7yq_zqBzqYyqEyrRwrI\ urLsrLrrNorPmsRmsTlsUlsWksYks_jtajtbitditfhthhtifq\ heogcmfbjfahe_fdZddXacW_bVYaTVaST`RRZPPZOMXMKVLITK\ FSIDQHBPG9QJ8TL7VN6XR6ZW5aa4bj4ch3dm2fo2go1hm0ii0j\ e3da5ZV7TP9NP9NP9OO9PP9PQ9QR9RR9RS9ST9TU9TU9UV9VW9\ VW9WX9XY9YZ9YZ9Z_8_`8_`8`a8ab8ac8bc8cd8ce8de8ef8fg\ 8fh8gh8hi8hj8ij8jk8jl8km8lm8ln8mo8ns1ur3sq5qp6po8n\ nAmmBklDjkFhjGgjIeiJdhLbgNafO_eQZdSXcTWbVUcbPb_RbY\ SbWTbUUbRVbPWbNYbLZbI_bG`bEafGhdEfcDdbCbaB``CZYDVZ\ EW_FX_GX`HY`IYaJZaKZbL_bM_cN`dOadPaeQbeRbfScfTcgUd\ gVdhWeiXfiYfjZgj_gk`hkahlbilcigcdcc_Zc`WcaVcbVccVc\ cVccVccVccUccUccUccUccUccUccUccTccTccTccTccTccTccS\ ccSccSccSccSccSccSccRccRccRccRccRccRccQccQccQccQcc\ QccQccQccPccPccPccPccPccPccOccOccOccOccOccOccOccNc\ cNccNccNccNccNccMccMcczzz } 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 17-12-07 (Around the Rim [6.5])
by Jim Muth 17 Dec '07

17 Dec '07

FOTD -- December 17, 2007 (Rating 6.5) Fractal visionaries and enthusiasts: Today's sojourn into the December fractal takes us to a spurious little valley in the interesting area around the origin. At first glance, this valley appears to have no right to hold minibrots. But right or wrong, minibrots are there, and today's image gives rock-solid proof of their presence. To give the image its finished appearance, I needed to partially evaporate the scene and render it with the inside parts set to 'bof61'. Actually, with the logmap set to -1842, any of the inside fills would have worked equally as well. They all simply add a flat color. Perhaps with a bit too much enthusiasm I rated the image at a 6-1/2. The colors really are not all that great. The name "Around the Rim" refers to the brilliant ring surrounding the somewhat obscured central minibrot. The calculation time of 14 minutes is slow for such a moderately worthy image. I recommend viewing the image instead on the FOTD web site at. I will send the image on ahead to Paul, so it should be already posted by the time this FOTD hits the cyber- way. The world-famous FOTD web site may be accessed at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Sleet fell all night Saturday here at Fractal Central. At daybreak Sunday it changed to a cold rain, which made a really sloppy mess of things. Then at noon on Sunday the rain changed to snow. When the snow ended at 5pm a high wind arose, with gusts to 50mph 80kph, making the day near a total loss. The fractal cats had no sympathy. They demanded extra treats of chunk tuna and sharp cheddar cheese. My day was kept busy by the task of clearing the heavy slop from the walk ways. The task was finished however in time for the fractal. The next fractal will be posted in 24 hours. Until that glorious moment arrives, take care, and when reason proves to be the answer, question the question. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Around_the_Rim { ; time=0:14:02.17-SF5 on P4-2000 reset=2004 type=formula formulafile=allinone.frm formulaname=MandAutoCritInZ function=recip center-mag=+3.526047700159351/-4.440263736170335/\ 2.066656e+010/1/112.5/0.000131874278297368364 params=-2.475/-1.05/-0.275/-5.5/0/17000000.0/0/0 float=y maxiter=8000 inside=bof61 logmap=-1842 periodicity=10 mathtolerance=0.05/1 colors=000UczcFvjDwqAyrc0iMqteLIm_vfRMrJthBtd4mb7f\ aA``DU_GNZJHYLGKEEQBDW8B`5Af29k05n71qE0eF0VF0NG08G\ 7KEEWCLhASs9NvKJyVEzemzpzznzyvzukmsiLqhPgdS``LLX8E\ LDHIDACMHLHEPDLW9TW5VW4dV3`V8aXQKQRJRSHRTGSUETVDUW\ BVWAVYBWZCW`DXaEXcFXdGYfHYgIY_RSSZMKfGCnBHmHMmMRmR\ WmW`m`elfjlkolptluylzxguxbqxYmxUiwPdwK`wFXwBTuDStF\ SsHRrJRpLQoNQ5FP4S_3dj8fcCgYGiSLjMPlGTmASoDSpGSrJR\ sLRuORvRRwTStSSqSSnSSlSTiSTfSTcSTaSYXUaSWeOYiJZmF`\ qAbu6coFXiORcXKYdEWfDUhDTjDRlDPnDOpDMrDLsDZdHlRKyD\ NzEMzFMzGLzHLzIKzJKzKJzLJzMVWTI1Z6BaLLd_VfnWbgWZ`W\ VUWSOVPMUMLTJKSGJSDILOSFZ`9hiGejNbkU`l`YlgWmnTntRn\ pWhm_bjdXfhScmM`qGYuB`M`USdNXgGbk9gnOWhbKcp8Zr5Zn4\ `j4bg4cc4e`4fX4hU4iQ3kM3mJ3nF3pC3q83s53t8VUAv39t29\ s28r28q28p27n17m16l16k16j1Eg8LeFSbM_`TfY_mWftUmiM_\ ZFNP8AR79T79V78X78Z77`77b77d76f76h75j75l74n74o74lB\ 6jE7hH9fKAdNCbRD`UFKNqRLs } 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 16-12-07 (Alien Enterprise [No Rating])
by Jim Muth 16 Dec '07

16 Dec '07

FOTD -- December 16, 2007 (No Rating) Fractal visionaries and enthusiasts: Two days ago Lee Skinner posted a picture of an alien that he found in December's parent fractal. This alien is obviously from outer space, most likely from the Alpha Centauri system. On Saturday I started wondering what the alien has been up to. I soon found that he, she, or whatever, has been very busy since he was discovered, re-iterating his fractal self. His effort is apparent. I found a whole flock of Minibrots hidden in his depths, one of which appears as today's FOTD. Since the alien is such a busy one, I named the image "Alien Enterprise". I have no idea why the Alpha Centaurian alien has been so busy or what type of work he performs, but all living entities, dead ones also I suppose, need energy to exist, so he must have a good reason for his efforts. I could hardly give a fair rating to an image that lies in an image that was created by someone else, especially since I re-used basically the same color palette. The calculation time of 1-2/3 minutes is brief enough to cause no one any fractal pain. And as always, the finished image is or soon will be available on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Saturday began clear here at Fractal Central, but the clouds moved in steadily through the day, and by late afternoon it was heavily overcast, with snow, sleet and freezing rain expected soon. The temperature hung just below freezing all day, keeping the fractal cats close to any source of heat. My day was busy because of preparations for the holiday season. But with the help of Lee, I did manage to find an image of FOTD value. Unless we get snowed or iced in, tomorrow will likely be another busy day. The next FOTD will be posted in 24 or so hours. Until then, take care, and string along with those super- strings and supermembranes. They're the best we've got until someone dreams up a better idea. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Alien_Enterprise { ; time=0:01:19.45-SF5 on P4-2000 reset=2004 type=formula formulafile=allinone.frm formulaname=MandAutoCritInZ function=recip center-mag=+3.195327586826916/+4.972744855053525/\ 27562.94/1/-130/6.71482591751981772e-011 params=-2.475/-1.05/-0.275/-5.5/0/0/0/0 float=y maxiter=2000 inside=0 logmap=64 periodicity=10 colors=000a0gc0ce7_jFRpNIuV9zb0zj0zr1zz1zzCzzTzzpz\ zzzzzrvonsjjqdfo_blUZjPVgJQeEMb8M_8MX8LT8LQ8KM8KJ8\ JF8zC8I88z44G00z31N53z84TA5zD6ZF7zI8fLAhMBiODjQFlU\ EnYDoaCqeBriAtm9vq8xu7zz5zz4zz3zw3zt3zp3zm3zj4zg4z\ c4z`4zY4zV5zS5zP5zL6zI6zE6wE6tD6tD8uDAuCBuCDuBEvBG\ vAIvAKw9Lv9Lu9Lu9Lt9Ls9Lr9Lq9Lq9Kp9Ko9Kn9Km9Km9Kl9\ Kk9Kj9Ki9Ki9Kh9Kg9Kf9Ke9Ke9Jd9Jc9Jb9Ja9Ja9J`9z_9KZ\ 9zY9KY9zX9KW9zV9JU9JU9IT9IS9IR9IQ9IQ9IP9IO9IN9IM9I\ L9IK9HK9HJAIJCIIDJIFKHGLHHLGJMGKNFMNFNOEPPEQPDRQDT\ RCUSCWSBXTAYUA_V9aW9bX8dX7eY9e`BdbDdeFcgHcjJblLboN\ aqP`sS_vVbvYdv`gvcivflvinvlqvotvswwuxxxyyzzzxyzvyz\ txzrwzozzhzwazsVzpNzlGzh8zd8za8zZ8zW8zS8zP8zL8zIDz\ GIzFNzDSzCXzAaz9fz7kz5pz4uz2zz0xz0uz0sz0pz0nz0kz0i\ z1fz1dz1az1_z1Xz1Vz1Sz1Qz1Nz1Lz1Iz2Gz2Dz2Fz3Iz4Kz5\ Nz7Pz8Sz9UzAWzBYzC`zEczFezHhzIdzMazQYzTUzXRz_NzcJz\ gFzpAzzEzwIzuLzrPzoSzlWzi } 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

Formula functions (fnx)
by David M Fisher 15 Dec '07

15 Dec '07

Anyone: Need information about the number of functions allowed per formula. I have been doing some experimenting with writing formulas, and have hit a snag with the <function> part. There seems to be a limit of four function entries per formula, and yet I distinctly remember seeing formulas with six (6) functions. I eyeballed the docs but came up blind, whence this e-mail. Is it possible that the version of fractint I am using is the problem? If so, which earlier version allowed six functions? If there is an obvious answer (solution) to this I would appreciate finding out. And while I have your attention......has anybody figured out yet how to sort .map files, regardless of rotation? I got a python script from Edwin Young, but can't get the thing to run. Keeps telling me there is an error. Any help or information would be greatly appreciated David M Fisher sunfish(a)intercom.net

2 1