June 2004 - Fractint - mailman.xmission.com

FOTD 10-06-04 (Perpetual Outcast [6])
by Jim Muth 10 Jun '04

10 Jun '04

FOTD -- June 10, 2004 (Rating 6) Fractal visionaries and enthusiasts: With the work falling behind again, and a potential new customer to impress, today's discussion will be very short. The image continues the same complex-powers theme of the most recent FOTD's, the major difference being that today I have rendered the scene with the outside set to 'tdis'. I named the image "Perpetual Outcast" on a whim. The result is different enough for the image to be rated a 6. The short render time of 2 minutes raises the overall value to 276. The overall value becomes meaningless when the completed image is downloaded from the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> With lots of hazy sun, humidity, and a temperature of 91F 37C, the Wednesday weather inclined the fractal cats to do nothing but lounge under the holly trees and enjoy life. In the evening I treated them to a dish of tuna, though it really was not necessary. Today is starting warm again, but rain is supposed to be on the way. We'll see how the dynamic duo takes these conditions. The work today is piled high, a clear sign to get busy. Until next FOTD, which might not be until June 15, take care, and be patient. The best is yet to come. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START 20.0 PAR-FORMULA FILE================================ Perpetual_Outcast { ; time=0:02:10.23--SF5 on a P200 reset=2003 type=formula formulafile=allinone.frm formulaname=MandelbrotBC2 passes=1 center-mag=-2.3\ 335844466742/+0.2407662638893/75905.47/1/-140/4.87\ 057810749647047e-010 params=2/0.1/0/0 float=y maxiter=1800 inside=0 outside=tdis periodicity=10 colors=000a_Y`aY`cY_fZ_hZZjZZlZYnZYpZXrZXtZVp`TmaR\ jcPfdOceM`gKYhIUjGRkFOlDLnBHo9Eq7Br68sMGt`NtoUtnRs\ mOsmLslIslFskCskAsbIgUQXMYMKXNJWOIVPHVQGURFTSETTDS\ UCRVBQWAQX9PY8OZ7O_vC0p96k7Bf5Ha3MYBLUJKRRKNZJKfJJ\ gMJgOJgQJgTJgVJgXJg_JgaJgcLebNdbPcbRabT`bV_bXYaZXa\ `WabUadTaeXai_elghikmfnsakoXglRahMXdHRaBMY6HU1CR5G\ U9KXCN_GRbKUeNYgRajVdmYhpakseovhpxgnugksggqgdofamf\ YkfVifRgeOeeLceHaeE_eBY`KhWSrURoSRlQQjOQgNPdLPbJP_\ HOXFOVENSCNPAMN8MK7MIBOKFQMISNMTPQVRTXSXYU__VcaXgb\ Zjd_nfaqgbxKxpQphWiaabUgVNpOFvH8zABzHmzNmzTmzZmzdm\ zjmzpmzomzomzomzomzoOhnOfnOenOcnObnOanRZmUXmWVlZTl\ `RkcPkeNkhKjkIjmGipEirChuAhw8htBiqEinHikKiiMifPjcS\ j`VjYYjW_jkY_zWPwXRuXSsXUqXVoXXmYYkY_iY`gYbeYccZea\ Zf_ZhYZiWZjZah`cgbefdhefjdhlcjnblqans`pu_rwZkt`drb\ YodSmfLkhEhj7fl1dm6`jAXgFTdJPaOLZSHWXDT`9Qd5Ne8LeB\ KeEJeGIfJHdPXcSYbUYbWYaYY } 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 20.0 PAR-FORMULA FILE==================================

1 0

FOTD 09-06-04 (Tickle My Fancy [5])
by Jim Muth 10 Jun '04

10 Jun '04

FOTD -- June 09, 2004 (Rating 5) Fractal visionaries and enthusiasts: A heavier than usual pile of work before me means a shorter than usual discussion. Today's image is a journey into the Mandeloid fractal that results when the formula Z^(2+0.2i)+C is iterated at the negative pi level of the logarithmic spiral. The parent fractal is shaped almost exactly the same as the curiously distorted midget that highlights today's image. The scene of today's image is located in the broad northern branch of the Seahorse Valley area of the parent. Other areas of the parent hold equally strangely shaped midgets, some of which might appear in FOTD's to come in the near future. As for the rating -- I could give the image nothing more than an average 5. But the unusual shape of the midget and reasonably short render time of 6 minutes makes it worth the effort. The overall value is a nominal 78. I named the picture "Tickle My Fancy". I actually was a bit tickled when I saw the shape of the midget. And fractal fans will also be tickled when they see the couple minutes that can be saved by avoiding rendering and downloading the completed image from the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> A sunny and very warm day on Tuesday, with a temperature of 84F 29C, was just what the cats needed. They spent the entire afternoon exploring the holly thicket at the bottom of the yard, dodging the falling cicadas, which are starting to die off at an increasing rate. When evening came, the duo were ready to come inside without complaint. This morning is starting sunny and even warmer. I expect a similar day. In my corner, the work is waiting before me. I always feel better when it is finished and behind me. So it's time to get started. Until next FOTD, take care, and see you when that glorious time arrives. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START 20.0 PAR-FORMULA FILE================================ Tickle_My_fancy { ; time=0:06:23.49--SF5 on a P200 reset=2003 type=formula formulafile=allinone.frm formulaname=MandelbrotBC2 passes=1 center-mag=-4.07570601913123700/+2.189601450837599\ 00/28201.47/1/80/-7.37824690233424008e-010 params=2/0.2/-3.14159265358979/1500 float=y maxiter=1800 inside=0 logmap=95 periodicity=10 colors=000SLlQKkOJjMJiQRhUZgXefRZZLSRFLJ9EB374CF6L\ M8TTAa_CjfErmFdYJRJMD4PG9QIDRKIRMMSORTQVTS_UUcVWhV\ YlW_qXauXenehhnkbvl_umYunWunUuoSupQupOuqMurKurIusG\ utEutCurBrpBooBlmBjkBgjBdhBafB_eBXcBUbBSeHXhN`jTdm\ ZhpdmrjqupuwuysnuphrlboiXleRibLfZFcW9`YAZZAY_BW`BV\ aBUbCScCRdCQeDOfDNgDMfELfFKeGKeGJeHJdIIdJIdJHcKHcL\ GcLGdMKeNNfOQfPTgQXhR_iSbiSekJSlAEh9Jd9N`8RY8VU8ZQ\ 7bM7fJ7jHEiGKhFQgIRhKRhMSiOSiQTjSTjQVfOWcNX`LZXJ_U\ I`RGaOEcKDdHBeEAfBCeDDeEEdGFdHGcJHcKIcLJbNKbOLaQMa\ RN`TO`UP`VS_VUYUXWTZUSaTSdRRfPQiNPkMPjLOiKOhJOhIOg\ HOfGOeFOeEOdDNa6KcCNbBNbANa9N`8N_7NCcJIcKOcLUcMmUK\ kKLjELiDLgCMfBMeAMd9Mb8Na7N`6NoJsmHnkGjiKfgPbeUZcU\ VaZRAcIJcKScMBckOcZacO`cN`cN`cN`cN`cN`cNacNccNecNg\ cNicNkcNmcmoaiq_esYau_YwaUycQzemzgoziqzkszmuzmwzmx\ zmyzmzzmzzmzzmzzmzzmzzmzzmzzmzzmzzmzzmzzmzzmzzmzzm\ zzmzzmzzmzzmzzmzzmzzmzzmz } 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 20.0 PAR-FORMULA FILE==================================

2 1

FOTD 08-06-04 (Iterative Complexity [5])
by Jim Muth 08 Jun '04

08 Jun '04

FOTD -- June 08, 2004 (Rating 5) Fractal visionaries and enthusiasts: This morning I was up early with my telescope and sun filter set up in the east-facing attic window of F.C., ready to see the final stages of the transit of Venus across the sun. Unfortunately, fog was in the air at the time the sun rose, obscuring the horizon. As a result, I saw nothing. When the sun appeared 2-1/2 hours later, the event had long since ended. Hopefully the luck will be better in 8 years, when the next transit occurs. If not, it's a wait of 122 years. I guess I shouldn't be too disappointed. Those farther west saw nothing at all. Today's fractal was created by iterating the expression Z^(2+0.1i) and examining a spurious valley of the resulting chaotic fractal. The scene is located near a larger midget in the valley. I named the image "Iterative Complexity" because I could find so little order in it. In the classic Mandelbrot set, the features are arranged around the midgets in the series 2,4,8,16... In the cubic Mandeloid the features follow the series 3,9,27,81... In Mandeloids of fractional powers, the series follows the same rule. Thus we have 2.5, 6.25, 15.625, 39.0625... But what series will a Mandeloid with an imaginary component in its exponent follow? Complex numbers are not counting numbers. As today's image shows, the result is total chaos. There is no order at all in the features surrounding the central midget. In a way this makes things more interesting. I rather enjoy an 'anything can happen' fractal. I didn't really know what kind of a rating to give to today's image. When in doubt, I always do the most likely thing, so I ended up giving the image a rating of an average 5. The render time of close to an hour holds the overall value to a modest 9, but this value can be drastically increased by visiting the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> and viewing the image there. But before going to the web site, give Paul a chance to render and post the image. Monday was sunny and warm here at F.C., with a high temperature of 81F 27C. It was a perfect day to keep cats happy. They spent several hours in the yard, ignoring the cicadas, which are again singing. When evening arrived, they came indoors with no complaint. Today looks to be a repeat. I expect a repeat in the cats' mood also. The work is moderate, which means about 4 hours effort will put it behind me. Then it's on to the world of fractals. If I'm lucky, tomorrow's fractal will be better than today's. If not, it will still be interesting. Until next time, take care, and hope for clear skies in 8 years. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START 20.0 PAR-FORMULA FILE================================ IterativeComplexty { ; time=0:55:48.13--SF5 on a P200 reset=2003 type=formula formulafile=allinone.frm formulaname=MandelbrotBC2 passes=1 center-mag=-0.62142028795967830/-0.363045619197981\ 00/4.570629e+010/1/-7.5/-5.02629616519895128e-005 params=2/0.1/0/0 float=y maxiter=18000 inside=0 logmap=1430 periodicity=10 colors=000bMsaNqaNp`On_OmZPlYQjXQiWRgWRfVReUScTSbS\ T`RT_QTZQUXPUWOVUNVTMVSLWQKWPKXNJXMIXLHYJGYIFZGEZF\ DYDEZEEZFFZGFZGFZHGZIGZIHZJHZKHZKIZLIZMJZMJZNJZOKZ\ OKZPLZQLZQLZRMZSMZSMZTN_UN_UO_VO_WO_WP_XP_YQ_YQ_ZQ\ __R__R_`S_aS_aS_bT_cT_cU_dU_eU_eV_fV_gV_gV_gTbiRdj\ PfkNilLkmJmoHppFrqDtrCvsCuqCtpCsnCrmCqkCpjCohCnfCm\ eClcCkbCj`Cj_CiYChWCgVCfTCeSCdQCcPCbNCaLC`KC_ICZHC\ YFCYEHZIMZMRZQW_T`_Xe_`j`co`gt`ky`nx_nwZnvYnuXntWn\ sVnsUnrTnqSnpRnoQnnPnnOnmNnlMnkLnjKniJniInhHngGnfF\ neEndDndCncBnbAna9n`8n_7n_7nV8gR8aN8WJ8QE9JA9D6972\ 914A16B17C19C1BD1CE1EF1FF1HG1JH1KH1MI1OJ1PK1RK1SL1\ UM1WM1XN1ZO1`P1aP1cQ1dR1fR1hS1iT1kU1mU1nV1pW1qW1pY\ 2pZFp_Io`LoaOobRncUndXne_mfbmgemihmjklknllqlmtknwk\ ozkpzjqzjrzjszjtziszhszhszgszgszfrzfrzerzerzdrzcqz\ crzbszbtzauzbvzcwzcxzcyzczzczzczzczzczzczzczzczzcz\ zczzczzczzczzczzczzczzczz } 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 20.0 PAR-FORMULA FILE==================================

1 0

FOTD 07-06-04 (A Fractal Event [4])
by Jim Muth 07 Jun '04

07 Jun '04

FOTD -- June 07, 2004 (Rating 4) Fractal visionaries and enthusiasts: I named today's image "A Fractal Event". Every fractal is an event. It is not a very great event however, because I could rate it at only a 4. The image is actually a scene in the Z^2.01+C Mandeloid, 150 levels up the logarithmic spiral, rendered with the outside set to 'fmod' and the proximity set to 0.006. At this level of the spiral, the M-set has rotated until the eastern shoreline of the large southern bud lies on the negative real axis. Today's scene is located in the confusion near the big break. I think it is the overly-brilliant Renoir-like coloring that holds down the rating. Otherwise it is a rather unconventional image that somewhat reminds me of a planetary nebula surrounding an evaporating star. The bits and pieces scattered throughout the scene could easily be taken as interstellar debris. Strangely enough, the pattern around the midget appears perfectly symmetrical, even though the exponent of Z is fractional. The render time of 7 minutes and the rating of 4 combine to give an overall value of 56. The job of rendering can be avoided by downloading the completed image from the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Though the sky remained cloudy all day Sunday here at Fractal Central, and the temperature never rose above 68F 20C, the cats managed nearly two hours in the yard, doing what aging cats do best -- sleeping in the brush. They did perk up briefly when a mockingbird started scolding them, but the bird soon returned to its nest and the duo returned to sleep. When the day ended, they came indoors without urging. Today is starting partly cloudy and warmer. It looks like a better day for the duo. Today will be good enough for me if I can finish the day's work by sometime early this afternoon. But to finish I must first start. Until tomorrow's FOTD, take care, and see you then. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START 20.0 PAR-FORMULA FILE================================ A_Fractal_Event { ; time=0:07:12.38--SF5 on a P200 reset=2003 type=formula formulafile=allinone.frm formulaname=MandelbrotBC2 passes=1 center-mag=-0.67150446161930160/+0.039024030044104\ 01/232355.9/1/-90/3.88578058618804789e-016 params=2.01/0/150/0 float=y maxiter=1500 inside=0 proximity=0.006 outside=fmod periodicity=10 colors=000FOtHLsJKrMGqOCpQ9oS8nU7nW7nY6n_5ma5mb4md\ 3mf3mh2lj1ll1ln0lo0lo2ko3ko4jo6jo7jo8io9ioBioChoDh\ oEhoGgoHgoIgoKfoLfoMfoNeoPeoQeoRdoSdoUdoVcoWcoXcZZ\ RI_E1`23_45_67_89ZABZCDZDFZFGYHIYJKYLMXNOXOQXQSXST\ WUVWWXWYZWZ`V`bVbdVdeUfgUhiUikUkmTmoToqTqrTrqRqqQp\ qPoqOopNnpLmpKmpJloIkoHkoFjoEinDinChnBgnAgm9em9dm9\ cl8bl8al8`l7_k7Zk7Yk6Xj6Wj6Vj5Uj5Ti5Ri4Qi4Pj4Ok3Nl\ 3Mm3Ln2Ko2Jp2Iq1Hr1Gs1Ft1Eu1Hv1Kw1Nx1Qy1Tz1Wz1Yz1`\ z1cz1fz1iz1lz1oz1qz3pz5oz7oz8nzAnzCmzEmzFlzHlzJkzL\ kzMjzOjzQizSizThzVhzXgzYgzT`zOVzJPzFJzADz57z11z34z\ 47z5Az6Dz7Fz8Iz9LzAOzBRzCTzDWzEZzFazGdzHfzJezLdzNc\ zPbzRazT`zU_zWZzYYz_YzaXzcWzdVzfUzhTzjSzlRznQzoQzm\ RzkRzjRzhSzfSzeSzcSzaTz`TzZTzXUzWUzUUzTUzRVzPVzOVz\ MWzKWzJWzHWzFXzEXzCXzBXzGrzIqzKqzMpzOpzQpzSozUozWn\ zYnz_nz`mzbmzdmzflzhlzjkzlkznkzpjzrjzsjzqdzp_znVzm\ QznPznPzoOzoOzpOzpNzqNzqN } 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 20.0 PAR-FORMULA FILE==================================

1 0

FOTD 06-06-04 (A Feathery Fractal [7.5])
by Jim Muth 06 Jun '04

06 Jun '04

FOTD -- June 06, 2004 (Rating 7.5) Fractal visionaries and enthusiasts: Today's fractal is different. To start, it was created by raising Z to a complex power -- 1.3+0.08i. Then I found that the hyperparent spreads out and dissipates as we go up the logarithmic spiral, but it condenses and becomes more interes- ting at the negative levels of the spiral. The parent fractal of today's image lies 16 levels down the spiral. At the default magnitude it is a tiny shrunken thing, but when magnified it becomes a comet-like object, full of interesting places in need of exploration. Today's scene lies in the chaos edging a valley on the southern shoreline of the comet head. No special outside rendering methods were needed with today's scene. The standard equal-iteration bands did everything. Admittedly, I did help a bit with the coloring, but I did less work than the first appearance would suggest. The name, "A Feathery Fractal", captures the feeling of the image. Undecided whether to rate the image a 7 or 8, I finally decided on a 7.5, which gives an overall value of 84. This value can be raised if the task of rendering the image is eliminated by down- loading the finished GIF file from the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Heavy rain all day here at Fractal Central on Saturday and an unusually cool temperature of 59F 15C kept the cicadas quiet and the cats indoors. The cicadas clung motionless in the trees all day; the cats sulked in the window all day. Sun and warmer temperatures will make the cicadas happy, but a sizable treat of tuna was needed to put the cats back in a good mood. Today is starting cloudy. The rain appears to have moved on. All we need is sun. I'm going to try to take it easy today. If I succeed, I'll consider it quite an accomplishment. Maybe I'll start writing that story I've been thinking about for at least three years. Maybe not. Until tomorrow's FOTD, take care, and be prepared at least for an outburst of philosophy. It has been building for several days and could break loose at any time. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START 20.0 PAR-FORMULA FILE================================ A_Feathery_Fractal { ; time=0:08:55.58--SF5 on a P200 reset=2003 type=formula formulafile=allinone.frm formulaname=MandelbrotBC2 passes=1 center-mag=+0.0\ 0050914586947115/-0.00033084146774130/5188497/1/-2\ 7.5/4.6970816125e-011 params=1.3/0.08/-16/0 float=y maxiter=4500 inside=0 logmap=153 periodicity=10 colors=000TOLTLMTNNTPOSRQSTRSUSSVTSWURXVRYWRZXR_YQ\ a_Qb`QdaQebPgcPhdPjePkfPlgOjeNhcNfaMe`McZLaXK`WKZU\ JXSJVQIUPHSNHQLGPKGNIFLGFIFEHIDGKDFMCEOBFQBGSAGU9H\ W9IY8J_7Ka7Lc6Ne6Og8Rh9UhAXhB_hCbiDeiFhiGkiHnjIqjJ\ tjKwjLzjPzmUzoZzqczshzumzwsAUs5Ts7Ts8Sq9RoBRmCQkDP\ iFPgGOeHNeJNeKMeLLgMKiOKkPJlQImSInTHoUGpWGqXFrYEr_\ Es`DtaCubCmaEcaFc`Hd`Id_Ja_L_ZMXZNUYPRYQPXRMXTJWUH\ WVJTYKR_MPaNNcPObQPbQPbPQbPQbORbTRbQSbTSbVTbXTb_Ub\ aVbdVbfWbiWbkXbmXbnYbpYbqZbrZbm_`i__e`Za`XYaWTaVPb\ ULbSHcRDcQ6eQ9ePBhPDeOFeOHZNKUNMSMOOMQULSTLURKXQKZ\ PJ`NJbMIdLIfKIiQFlVDo`Bre9vl5tj7ri8ph9nfKleOjdRicU\ gaXe`_c_baZe_XhZWkXVnVUqTStRRwPQzOPzPSzPUzQWzRYzU_\ zXaz_czbeze_zhQzkSznUzqWztYzw_zzbzzdzzfzzhzzjzzlzz\ jzzhzzfzzdzzbzz`zzZzzXzzVzzTzzRzzPzzNzzLzzJzzHzzFz\ zEzzHzzKzzMzzPzzSzzUzzXzz_zzazzczzczzczzczzczzczzc\ zzczzczzczzczzczzczzczzcz } 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 20.0 PAR-FORMULA FILE==================================

1 0

FOTD 05-06-04 (Curse of the Creature [7])
by Jim Muth 05 Jun '04

05 Jun '04

FOTD -- June 05, 2004 (Rating 7) Fractal visionaries and enthusiasts: To find today's image we ventured into the depths of the fractal that results when 0.2 parts of Z^(-8.25) are combined with one part of Z^(-1.65), and (1/C) is added. Like so many fractals that are created by combining negative exponents of Z, this fractal is indescribable. Like the familiar Mandelbrot set, it has bays and valleys, but the inner detail of these features is totally unlike anything found in the M-set. Today's scene is located on the north edge of a valley on the positive real axis of the parent. An unusual feature of the scene is that it is not there. The scene has been 'evaporated' by raising the escape radius so high that all points are trapped. The trapped points are not dead however. They still have freedom to move around, and this motion has been made visible by the 'bof61' inside fill, which colors the points according to which iteration takes them closest to the origin. The image so produced appears as today's FOTD, which earns its rating of a 7 quite honestly. I have named it "Curse of the Creature" in recognition of those not-so-great old movies that they just don't seem able to make any longer. There might be some kind of creature lurking somewhere in the image. If I looked long enough, I'm sure I could find one. But the image is good enough as it is. We'll keep the creatures where they belong -- in the old movies. The render time of just under 14 minutes combines with the rating of 7 to give an overall value of a neat 50. And if the image is downloaded from: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> the rendering will be eliminated and the value will rise. A cloudy cool day here at Fractal Central on Friday turned into light rain in the evening, but the cat duo got in enough yard time before the rain began to keep them reasonably happy. Only a little tuna was needed to make their day complete. Today is starting with clouds, cool temperatures and rain. Hopefully, it will turn dry in time for the cats to have their outdoor romp. With me, the work is mostly caught up, and the next FOTD fractal will appear in approximately 24 hours. Until then, take care, and be lucky. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START 20.0 PAR-FORMULA FILE================================ CurseOfTheCreature { ; time=0:13:57.77--SF5 on a P200 reset=2003 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=recip passes=1 center-mag=+2.37819276581849900/+0.001714053513647\ 82/1.158226e+007/1/152.5/-1.09526888978292436e-005 params=1/-1.65/0.2/-8.25/0/1e+100 float=y maxiter=1700 inside=bof61 periodicity=10 colors=000x99sEEnJIjNMeSQaWUX`YSeaOieJniFrmGonGmnG\ joGhoGepGcpG`qGZqGWrGUrGSrCVg8XX4ZM6TO8OQAJRCETE9V\ F4WUOKhg9feAecAdaAb`AaZB`XBZWBYUBXSBWQCUPCTNCSLCQK\ CPIDOGDNEDLDDKBDJ9EH8EG6EF4EE3EG5DI6DK8CM9COABQCBS\ DAUFAWG9YH9_J8aK8cL7eN7gO6iQ6kR5mS5oU4qV4sW4n_MidT\ ehZamdYqjWmfUjcTf_RcXQ`UPZTOYTOWTNVSMTSMSSLQSKPRKN\ RJMRIKQIJQHHQGGQGEPFDPEBPEAOD8OC7OC6O96J76EBAFEDGI\ HHLKIONJSRKVUKZYLa`MdcNhgOkjPnmPedWXWaONhFFnIIoLLo\ NOoQQoTToVWpYZp``pbcpefpghp9ckEaiI_gMYeQWdUUbYS`aQ\ _eOYiMWmLVnSUnZUneUnlUnsUnzUoxRowOpuLptJqsGqqDrpAr\ o8rp7rq7rr6rs6rt6ru5rv5rw4rx4rx4ow8mwCjvGhvJeuNcuR\ auUcrSeoQflOhiNjgLkdJmaHoZGpWErUCtRAuO9wL7yI5zG4vH\ 8sHCpHGmIKiIOfIScJW`J_XJcUKgRKkOKoLKrKMiKN`KPSKQJK\ RBJUAIWAHYAG_AFaAEd9Df9Ch9Bj9Al9An9Gj9Lf9Qb9WZ9`V9\ eR9kN9pJ9uF9uIBuLCuOEuQFuTHuWIuYKu`LucNueOuhQukRum\ TupUusWjAJmAIo9Gq9Et9Cv9A } frm:MandelbrotMix4 {; Jim Muth a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=1/f, h=1/d, j=1/(f-b), z=(-a*b*g*h)^j, k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel): z=k*((a*(z^b))+(d*(z^f)))+c, |z| < l } END 20.0 PAR-FORMULA FILE==================================

1 0

FOTD 01-06-04 (Scene of Discovery [5])
by Jim Muth 04 Jun '04

04 Jun '04

FOTD -- June 01, 2004 (Rating 5) Fractal visionaries and enthusiasts: Believe it or not, today's image is a view of the chaos along the shoreline of what remains of Seahorse Valley of the Z^(2.01,0.03)+C Mandeloid. For some reason known only to the higher authority, the buds have choked off and changed into distorted quadratic midgets, while curious new open areas have appeared, in the form of round holes connected by tooth-like spirals to infinity. I have named the image "Scene of Discovery". After all, it is at least a minor discovery. The two circular areas in the left half of the image, along with the tooth-spiral connecting them, form one of the more unusual hole complexes I have found in the world of fractals. Even with the maxiter of 15000, the edge of the valley, on the upper right, is not fully defined. But the render time of 48 minutes is already unreasonably long, so I decided to be satisfied with less than full definition. Since I can see nothing really above average in the artistic aspect of the image, I have rated it at a 5. The slow render time reduces the overall value to an unexceptional 10. Considering all this, the best way to view the scene is to let Paul render it and post it to the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Clouds, cool temperatures in the 60'sF (around 18C), and occasional light rain kept the fractal cats indoors and the cicadas quiet here at Fractal Central on Monday. The cats cheered up in the evening when they had their treat of tuna; the cicadas cheered up this morning when they saw the sun and warmer temperatures. I'll cheer up when the latest pile of work is behind me. Until next FOTD, take care, and don't be too busy to enjoy the fractal side of life. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START 20.0 PAR-FORMULA FILE================================ Scene_of_Discovery { ; time=0:48:19.02--SF5 on a P200 reset=2003 type=formula formulafile=allinone.frm formulaname=MandelbrotBC2 passes=1 logmap=24 center-mag=-0.7088779767/-0.2550825285/255.7718/1/\ 25/-2.66779653923521209e-013 params=2.01/0.03/0/0 float=y maxiter=15000 inside=0 periodicity=10 colors=000QYUSYUTZUUZTW_TX_SY`S_`S`aRaaRcbQdbQebQg\ cPhcPidOkdOleOmeNofNpfMqgMsgMthLuhLvhMvhLsfKpdKmbJ\ m`ImZImXHmVHmSGmQFmOFmMEmKDmIDmGCmBDmECmHCmKBmNBmQ\ AmTAmW9mZ9ma8md8mg7mj7mm6mp6ms5mv5mx5mw6lv6ku6jt6j\ s7js7jr7jq7jp8jo8jn8jn8jm9jl9jk9jj9jiAjiAjhAjgAjfB\ jeBjdBjdBjcCjbCjaCj`Ci_Bj`Cj`Cj`Cj`Dk`Dk`Dk`Ek`Ek`\ ElaElaFlaFlaFmaGmaGmaGmaHmaHnbHnbHnbInbIobIobJobJo\ bJobJnaMn`Om_Qm_SlZVlYXkYZkX`jWbjVeiVgiUihTkhTmeWk\ bYi`_gYaeWddTfbRh`OjZLlXJoWGqUEsSBuQ9wPEuNJsMNqLSo\ KXmI`kHeiGjgFneEmeFmeGaZbbYbcXbcWadWadVaeUafTafT`g\ SahRbhQciPdiPejOfkNgkMhlMimLjmKknJlnJmoInpHopGpqGq\ rFrrEssDttEusDvrCwrBxqAyp9zp9zo8zn7zn6zm5zl4zm0zl4\ zl7zlBzlEzkIzkLzkOzkSzkVzjZzjazjezjhzmszkozjkzigzh\ czf_zeWzdSzcOzcGzbIzbKzaLzaNz`Oz`Qz_Rz_TzZVzZWzYYz\ YZzX`zXazWczWezVfzVhzUizUkzFpzNnzUlz`jzghznfzlgzkg\ zjgzigzhhzghzfhzehzdizciz } 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 20.0 PAR-FORMULA FILE==================================

2 1

Re: [Fractint] No FOTD for June 4
by Jim Muth 04 Jun '04

04 Jun '04

At 10:03 AM 6/4/04 -0400, you wrote: >Jim Muth wrote: >> >> Fractal visionaries and enthusiasts: >> >> Due to an unexpected rush here at F.C., >> there will be no FOTD for June 4. The >> FOTD will return on schedule on June 5. > >I want my money back! :-) I give double your money back to all unsatisfied readers. BTW, the FOTD would be a bargain at half the price. :-) Jim M.

2 1

No FOTD for June 4
by Jim Muth 04 Jun '04

04 Jun '04

Fractal visionaries and enthusiasts: Due to an unexpected rush here at F.C., there will be no FOTD for June 4. The FOTD will return on schedule on June 5. Jim M.

2 1

FOTD 03-06-04 (Blueberry Pie [6])
by Jim Muth 03 Jun '04

03 Jun '04

FOTD -- June 03, 2004 (Rating 6) Fractal visionaries and enthusiasts: When the time came to name today's fractal, I was in the mood for a slice of blueberry pie, so I named it "Blueberry Pie". Unfortunately, giving the fractal such a name did not make it edible, but I have left a note to pick up a blueberry pie on the next visit to the market. The parent fractal of today's scene was created by combining positive and negative portions of the golden ratio. It is not a single object, but rather an assortment of Mandeloids and other holes. There are two main Mandeloids, one of them fairly normal, the other all cut off, as though it were too close to an escape radius. Today's scene is located in a tiny spiral in the remnants of the East Valley of this cutoff Mandeloid. After a moment's indecision, I rated the image at a 6, which is the highest rating in several days, and, when the render time of 7 minutes is considered, gives an overall value of 83. The task of rendering may be avoided entirely by downloading the finished GIF image from the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Between rain squalls, Wednesday was a fair enough day, with lots of sun and a temperature of 82F 28C. But even while the sun was shining, the trees were dripping water, making things too wet for the delicate ears and paws of the dynamic duo. They ventured onto the porch but never made it to the grass. A minor treat of extra tuna was needed to end their day satisfactorily. This morning is starting slightly chilly, but it is sunny, and no rain is in sight. I expect the cats will have a better day. For me, the work is still heavy and everyone wants his job at once. This means another busy day, so until next FOTD, take care, and button down the hitches. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START 20.0 PAR-FORMULA FILE================================ Blueberry_Pie { ; time=0:07:14.29--SF5 on a P200 reset=2003 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=ident passes=1 center-mag=-0.86260395598377170/-1.536571085905906\ 00/2.040066e+009/1/7.5/6.43303208599371734e-006 params=-1/-1.618034/1/1.618034/-0.4/0 float=y maxiter=1500 inside=0 logmap=138 periodicity=10 colors=000_eTXbSU_RSXRPUQNRQKOPILPFIODFOACN89N56M3\ 3M48L5CK5GK6LJ7PI7TI8YH8aH9eGAjFAnFBrEBvEOfPrCpnCi\ iDddD``DWXESTENPEJLFEHFADF5AF1EH3HI5LJ7OK8SMAVNCZO\ EaPF`RA`T6bV7cW8dY9eZAf_BgaChbDidEjeFkfGfiZ`lp`gp`\ cp`Zp_VpZXkZZiZ_fZbmZekYgjXjgameeobir`mtZrp`mlbhhd\ cefZahUYjPUlKRnFOpALr5Jt2Nr2Qp2Tn2Wm3Zk3ai3dg3gfNq\ hfzicyjaxjZwjXwjUvjSujPujNtkKskIrkFrkDqkApk8pkBmhD\ kfGidIfbLd_NbYQ_WSYUVWRXTP_RNaPLcNJaQH_SGYUFWXDVZC\ T`BRbAPe8Ng7Mi6Kk5In3Gp2Er1Dt0Jm6PgCVaI`WOfQUkK_lN\ ZmPZnSYoUYpXXqZXraWscWtfVuhVujVolZimacneYohSqlMroG\ ssAtv4uy5qx5mx6ix6ex7bx7Zw8Vw8Rw9Nw9KwAGvACvB8vB4v\ B1vE6tHArKEpNIoQMmTQkWUjZYhaafdeefbbg__hXXjUVkRSlO\ PnMNoPKpUHrZFscCth9um7lt8dw9Wz9OzAFzB7zB9zGBzKCzOE\ zTGzXHz`JzeLziMzmJznJzhFzlCzo8zs5zw2zz5zx7zw9zuCzt\ EzsGzqJzpLznNzmQzlSzjUziXzgZzf`zeYzaVzZSzVPzSNzOKz\ LHzHEzECzBGzAKzA_zY_zW_zU } frm:MandelbrotMix4 {; Jim Muth a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=1/f, h=1/d, j=1/(f-b), z=(-a*b*g*h)^j, k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel): z=k*((a*(z^b))+(d*(z^f)))+c, |z| < l } END 20.0 PAR-FORMULA FILE==================================

1 0