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FOTD 24-02-03 (An Improved Image [6])
by Jim Muth 24 Feb '03

24 Feb '03

FOTD -- February 24, 2003 (Rating 6) Fractal visionaries and enthusiasts: It's going to be a hectic day here at Fractal Central. We have the drippy roof to get patched, the musty cellar to get dried, the cats to keep happy, the regular graphic work to do, and the fractal exploration to hopefully get to. There is also that FOTD-CD. I have had it almost ready for weeks, but I still keep finding annoying problems with it that keep me from being satisfied and deciding it is finished. It will be ready in the near future, how near, I cannot say with certainty. With its rating of 6, today's fractal is somewhat improved over the string of 4-rated images that have appeared recently. In recognition of this fact, I named the picture "An Improved Image". The curvilinear effect was achieved by rendering the scene with the outside set to < imag >. The parent fractal, which was created by subtracting 2 parts of Z^(-1.8) from 2 parts of Z^(0.75) then adding (1/C), is quite unusual, resembling nothing as much as a rubber duckie. I will likely return to it in the near future for a source of more FOTD's. The render time of 19 minutes is slow, but for convenience, the completed image has been posted to the two FOTD web sites at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> and at: <http://sdboyd.dyndns.org/~sdboyd/fotd/index.html> The fractal weather Sunday was changeable here at Fractal Central. The day started foggy, then rain showers arrived, which changed to wet snow flurries before they ended by noon. In the afternoon, high winds arose, which scattered the lawn furniture, but the day ended peacefully, with clear skies and diminishing winds. The cats, who appear to be becoming accustomed to less-than-perfect weather, took the day's events in stride, satisfying themselves indoors with warmth and good food. I've got much work to do today, so until next time, take care, and be good. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START 20.0 PAR-FORMULA FILE================================ An_Improved_Image { ; time=0:19:46.44--SF5 on a p200 reset=2002 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=recip passes=1 center-mag=-0.34306163986039530/+0.194300897396538\ 00/2.699783e+007/1/-37.5/-6.01984598488924938e-008 params=-2/-1.8/2/0.75/0/0 float=y maxiter=1750 inside=0 outside=imag periodicity=10 colors=000u9av9cw9e0jm7inEhoLgpSfqYeqddrkcsrbtxbtu\ _qsYnqWkoUhmRfkPciN`fLYdJVbGT`EQZCNXAKV8IfZDqx8owA\ nvCmvDluFktGjtIisJhrLgrMfoPelRdiUcfWccYaeU_gQYiMWk\ IVmEfePrY_pWaoUcmTdlRfkPhiOihMkgLleMkcNkaNj_OjYOjW\ PiUPiSQiQRhORhMSgKSgITgGTfEUfCUfETeFTdHTcITbKTaLT`\ MT_OTZPTYRTXSTWUTVVTUWTTeOcoJnyExvIwsLwpOwmSvkVvhY\ ve`ubdu_guYjtVmtSqtPtsMwsKzsIvnHriFneEj`CfWBbSAZN8\ VI7RE5N94J43G07Y1Ab1EJ2Hc2LL2OM3Sh3VN3XIIZEW`Aib6w\ SPsIgp8ym9tkApiAkgBgeBcdCZbDV`DQZEMXEIWCRUBZS9gQ8o\ O7wMIwKTwJcwHnwGywFttGpqGknGgkGbhGZeGUbGQ_GMXGQaNT\ eTWiZZndarjdvpgzvZnlRbbISUAGK2VB5b22r23a6IDNHFLGGK\ FIIEKHELFDNECPCBQBAS99U89V78Y87_86a85d95f94h93kA2m\ A2oA_1Uc5`g9fkDmoHssKyqNxpPxoRxnTwlVwkXwjZvi`vgbvf\ duefudhucjuaqh_wWauXbtYcsYbrXbrWbrVarVarUaqT`qT`qS\ `qR`qRcdTeSVgFXfJSfMNfPJeSEeVAeY5e`1_W6USBOOGPKNQH\ UmCJnBLoBNpBQqASrAVsAXt9Z } 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==================================

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FOTD 23-02-03 (Something is Wrong [4])
by Jim Muth 23 Feb '03

23 Feb '03

FOTD -- February 23, 2003 (Rating 4) Fractal visionaries and enthusiasts: Due to water problems here at Fractal Central, which need to be remedied, (leaky roof and flooded basement), today's discussion will once again be short. The fractal is one I found with little effort using the just-renamed MandelbrotMix3a formula. I renamed it because there were two formulas named MandelbrotMix3, and this was causing confusion. The image was rendered with the outside set to the < real > option. In today's image, this option, with often does little, creates an effect rather like a froth of bubbles surrounding the central midget. I named the image "Something is Wrong" because something actually *is* wrong with the image. A careful inspection will reveal subtle inconsistencies in the symmetrical pattern surrounding the midget. I leave it to the viewer to find these inconsistencies. Because of the F.C. water problems, I had so little time to search for today's FOTD that I could rate it no higher than a 4. The 17-minute render time adds nothing at all to the rating. For convenience, the completed image is available on Paul's web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> and on Scott's site at: <http://sdboyd.dyndns.org/~sdboyd/fotd/index.html> The weather Saturday was not fit to be called fractal. The 3 inches 8cm of rain that fell during the day melted half of the nearly one meter of snow still on the ground to cause widespread flooding in the F.C. area, including Fractal Central itself. The chilly temperature of 39F 4C merely added to the unpleasant- ness. Conditions were so bad that the dynamic duo seemed to realize that going out was impossible. They didn't even ask, satisfying themselves by sleeping near the heat and enjoying their tuna treats. If I manage to get the mess cleaned up, which will be difficult but will be accomplished, I'll return in 24 hours with the next FOTD. Until then, take care, and keep your powder dry. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START 20.0 PAR-FORMULA FILE================================ Something_is_Wrong { ; time=0:17:58.24--SF5 on a P200 reset=2002 type=formula formulafile=allinone.frm formulaname=MandelbrotMix3a function=ident passes=1 center-mag=+7.27918549228332700/+0.284753999303866\ 60/7819.961/1/135/5.50914092817267331e-009 params=-1/1.95/1/2.05/0.2/2.95/-0.2/3.05/3.6736066\ 267525/0 float=y maxiter=3600 inside=0 outside=real logmap=yes periodicity=10 colors=070aC0aC0aC0aC0aC0NG0AZ00tA0zL0zF0zC0z80x43\ t05p08l0Ah0Ed0I`0KX0NT0QR0NZ0Md0Kj0Ir0Gx4EzCCzHAzQ\ 8zX8zbCzdEzgGziIzjKxlMroNlqQfqS`sUVuWPuYKu_EuaCucC\ ueCumCusLuxXsxhoxtjxzgxxixpixhix`jxTjxLjxEjxClsClq\ CloCliCgcCbYC_UCVNCSICLECH8CD3CA0C60C00C00C00C00C0\ 0C00zu0zu0zu0zs0zo0zj0zd0z`0zX0xS0vO0vH0tD0rA0p40n\ 00n00n00n00n00n01n05h08d0CZ0EV0IP2ML6QGASCCWCF_CJc\ COeCSiCVmC_oC`xz0xf6oGTaCq_CiYC`WCVUCOSCHQEAQG4NK0\ MN0KR0IV0GZ0G`0Ma0Qd0Ud0Yf0ah0gh0kj0ol0sl0xn0xn0xp\ 4xrCxrJxtSxv_xvgxxoxzuxzuexuNvu6to0rj0pg0zu0pj00K0\ Lg0Xq0hu0tuIhuqXuxLuxNuxPuuRumRucTuUVuMVuCXu3Zu0Zu\ 0C00zJ0z_0Nu0Vu0`u0fu0lu0ru0xuazjxzCxzDxzDxzDxnDxa\ DxRDxGDxzLxzFxzFxzFxzFxzFxzFxzDqzCezASz8Gz85z60z40\ z20z2CzguzuxN0xT0xZ0sd0ih0an0Ut0Kx6CzC5zH0zL0zT0z`\ 0zi0zq0zu0zu0zu3zdEpiNfjYZoiPqsGuxCuuCuoEsgIsaKqUN\ qNPoIRoMIXQCFUC0YC0aC0aC0 } MandelbrotMix3a {; Jim Muth z=real(p5), c=fn1(pixel), a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=real(p3), h=imag(p3), j=real(p4), k=imag(p4), l=imag(p5)+100: z=(a*(z^b))+(d*(z^f))+(g*(z^h))+(j*(z^k))+c, |z| <=l } END 20.0 PAR-FORMULA FILE==================================

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No FOTD for Feb. 22
by Jim Muth 23 Feb '03

23 Feb '03

I've been too busy, up half the night with backed-up work. Look for the next FOTD on Sunday. The same problem is true with the FOTD-CD. It is basically finished, but I can't find the time to wrap it into a completed package. But don't give up hope. The CD *will* appear in the very near future. Jim (the very busy) Muth

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What do these symmetry forcing parameters do?
by Harold Lane 21 Feb '03

21 Feb '03

Does anyone know what the following symmetry forcing parameters do? I only have the 1st edition of Fractal Creations and the 20.0 docs & Bradley Beacham's Formula tutorial don't tell... XAXIS_NOPARM YAXIS_NOPARM XYAXIS_NOPARM ORIGIN_NOPARM PI_SYM_NOPARM XAXIS_NOREAL XAXIS_NOIMAG - Hal Lane hallane @ compuserve.com

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FOTD 21-02-03 (Simply a Minibrot [4])
by Jim Muth 21 Feb '03

21 Feb '03

FOTD -- February 21, 2003 (Rating 4) Fractal visionaries and enthusiasts: Once again, I have little time to search for fractals. But luckily, there is the evolver, which searches automatically. To save time, I put the Fractint evolver to work. When it found an interesting fractal, I rounded off to 2 places and searched for something in the fractal it had found. Not surprisingly, I found a minibrot. I named today's image "Simply a Minibrot", which was the first name that came to mind. I rated it at a 4 because it is too fragmented and muddy for a higher rating. The render time of 12 minutes can be reduced to one minute or so by downloading the image from: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> or from: <http://sdboyd.dyndns.org/~sdboyd/fotd/index.html> Had it not been for the deep snow pack and the fallen porch roof, Thursday, with its warm sun, light winds, and temperature of 50F 10C, would have been a fine spring-like day for the fractal cat duo. As it was, they stuck their noses out the side door, tested the snow with their paws, and decided that comfort was better than valor. As for myself, I'll be quite busy for a few days as the work that could not be delivered due to the snow finally comes in all at once. But I'll still find a bit of time for the FOTD. So until tomorrow, take care, and see you soon. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START 20.0 PAR-FORMULA FILE================================ Simply_a_Minibrot { ; time=0:12:00.13--SF5 on a P200 reset=2002 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=recip passes=1 center-mag=-0.68601040546856860/-0.201739505878596\ 30/2.093344e+008/1/60/-3.92330872178714429e-007 params=1.56/0.42/1.35/1.91/0/0 float=y maxiter=2500 inside=0 logmap=182 periodicity=10 colors=000C6C60D00D70JD4PJ9VPD`XIfaMlgQrmVxiYpd_j`\ acYcYTdSPgLLiFIj9DiD9gG4gJ0fM0dP0dS0cX0a_3ac6`f9`j\ D_mGYrLYuOXyQXzXasafjflalpTpvLvzCzz3yz4xz4vz4uz4sz\ 6rz6pz6oz6gmT`VoTDzSIzSLzSOzQQxQTsQXpP`mPcjPffOicO\ l`OoYOrVLuaJvgGxoFyuDzzIyxMyuPysTypYyo`xldxjixglxf\ pxcsxammXgdQaVLXMFQC9L33G00I11J73JD6LJ7MPAMVCO`FPf\ GPlJQrLQxMTmGXdA_X6aO0dF0g60i00OlcPraXgYc_TjQQrGMy\ 7Jz0Fz0Cz0Mz7XxGfsPpmYzidzmazp_sTQgPMdLIcJ4XJ0QL0_\ M7fOFoPMvQTzQ`zTczXdz_guaiodlifmcipYlrSouMrvGsxCrs\ FroGrjJrfLraOr_PrVSrQTrMXrIYrF`rAar6dr1fr0ir0jm1dj\ 9_gFTdMO`TIY_CVf6Sm0Ps0AXQ09sCSlSjdVicYgc_gcafccdc\ fdcgccjccmaco`cr`cs_cvYcxYczXczXcuTaoQ`iO_aMYXJXQG\ VJFTDCS79Q17P96MG6JM6GT4D`4Af47m34u31z30r67i9GaAPT\ DYLFfDIo4Jx0Mz0Oz0Jz0Gp1Cd49V94JD17G00F9FDIVCQjDSi\ DSgFSfFSdGSdGScISaIT`JT_JT_LTYLTXMTVMTTMTTGQ_COd7L\ j3Ip0Fv0Dz3GyCIxTP7OJ9IDA } 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==================================

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FOTD 20-02-03 (Mandelbrot Breakoff [4])
by Jim Muth 20 Feb '03

20 Feb '03

FOTD -- February 20, 2003 (Rating 4) Fractal visionaries and enthusiasts: Yesterday morning, the fractal lady decided she simply had to make a trip to the store. I warned her that the roads were still very bad, and if she went out, she would get stuck. She assured me that she could handle it. About an hour later I got a phone call from six blocks away. Guess what had happened . . . Two hours later, when we arrived back at F.C., I justifiably lost my cool, which I have relatively little of even on good days. The rest need not be described. The fractal of the day, which was found despite the distrac- tions, is named "Mandelbrot Breakoff". The name describes the disconnected nature of the scene. The rating of 4 is fair enough for such an ordinary fractal. The render time of under 3 minutes is also fair enough. Those who consider even 3 minutes unfair may download the completely rendered GIF image from: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> or from: <http://sdboyd.dyndns.org/~sdboyd/fotd/index.html> The fractal weather Wednesday was not too bad, with some sun and a temperature of 36F 2C. The dynamic cats were out of sight most of the day, most likely avoiding the temper tantrums. It would have made no difference even if they had not gone into hiding. Their porch is still blocked by the fallen roof and the ground is still buried under about a meter of soggy snow. But F.C. has a way of surviving trying times, and the next fractal is but 24 hours off. Until then, take care, and I just don't dig it. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START 20.0 PAR-FORMULA FILE================================ MandelbrotBreakoff { ; time=0:02:49.28--SF5 on a P200 reset=2002 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=recip passes=1 center-mag=+0.3531289942622923/+0.335701792042646/\ 2178754/1/102.5/1.089800562e-008 params=0.25/1.618\ 034/-2/-1.618034/1.2/0 float=y maxiter=400 inside=0 logmap=47 periodicity=10 colors=000AkzAjyAiyAhyAgxAfwAevAduActAbsAarA`qA_p9\ ZofK8kYLqjXwrhprejmcdhaZc_TZXNUVHPTBLRO_g`mxTjuMgr\ FdoG3vLAtQHrVOp_Vndalhhkjjhllfnncpparr_ttXvvVxwTwo\ PvgMu_JtTFsLCrD9r66tC7vI8xO9yU9vXFt_KrbPpeUnhZlkco\ ZQrNDtB0hE2XH3LK49N5U12of0mKDpIBsG9uF7xD5zC3tI4oN5\ jT6eY7`c8Wh9RnAMsBNNNBBBI_TAfR3mP9kKEiFJhB_NHp1N4Q\ SL9AHELDJV9Od6SnOMceHUvCKqIUmNchSmdXvE10eqzdjmz8pz\ BtzEvzGxzNzzUzz`zzczzczzczzczzczzczz_zzTzzNzzPzzQz\ zSzzTzzRzzPzzNzzMzzDzz4zzUzzczzczzczzczzczzczzczzc\ zzczzczzczzczzczzczwcztczqcznczcmzcmzcmzcmzcmzcmzc\ mzcmzcmzcmzcmzcmzcmzcmzcmzcmzcmzcmzcmzcmzcmzcmzcmz\ cmzcmzcmzcmzcmzcmzcmzcmzcmzcmzcmzcmzcmzcmzcmzcmzcm\ zcmzcmzcmzcmzcmzcmzcmzcmzcmzcmzcmzcmzcmzcmzcmzcmzc\ mzcmzcmzcmzcmzcmzcmzcmzcmzcmzcmzcmzcmzcmzcmzcmzcmz\ cmzcmzcmzcmzcmzcmzcmzcmzcmzcmzcmzcmzcmzcmzcmzcmzcm\ zcmzcmzcmzcmzcmzcmzcmzcmz } 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==================================

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FOTD 19-02-03 (High-Order Fractal [4])
by Jim Muth 19 Feb '03

19 Feb '03

FOTD -- February 19, 2003 (Rating 4) Fractal visionaries and enthusiasts: Many problems still plague Fractal Central, so we'll have another short discussion today. The digging went well on Tuesday, but in the afternoon, a large pile of wet heavy snow slid off the fractal house roof onto the cats' porch roof and collapsed it. In addition, the house roof has started leaking over the rear bedroom. But between all the other distractions I managed to find a quick fractal. I named it "High-Order Fractal" because it combines 4 different powers of Z before adding 1/C. I use this MandelbrotMix3 formula relatively infrequently because the images it draws tend to be too chaotic, and also because the critical point must be calculated separately and entered as the real(p5) parameter. Though I found the image in only a few minutes, it takes 1/2 hour to render. I could rate the hastily-found result no higher than a 4. The 1/2-hour render time can be avoided by download- ing the completely finished GIF image from: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> or from: <http://sdboyd.dyndns.org/~sdboyd/fotd/index.html> The fractal weather Monday and Tuesday was partly cloudy with temparatures around 30F -1C. But the fractal cats are not happy. With their hangout roof collapsed, the dynamic ones were sullen indeed, spending several hours in full-sulk mode, hunkered down with thrashing tails stirring up an indoor breeze. Luckily I stocked up on tuna before the big storm. Tuna always restores a cat's good spirits. (Too bad it doesn't work as well on me.) There is still a lot of digging to do, so until next fractal, take care, and see you in 24 hours. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START 20.0 PAR-FORMULA FILE================================ High-Order_Fractal { ; time=0:29:38.38--SF5 on a P200 reset=2002 type=formula formulafile=allinone.frm formulaname=MandelbrotMix3 function=recip passes=1 center-mag=-2.24578194714223/-0.007932233500827/2.\ 324295e+007/1/95/1.171e-007 params=0.3/1.5/0.2/2.5\ /0.1/3.5/1/-1.5/1.037043411258671/0 float=y maxiter=1600 inside=255 logmap=202 periodicity=10 colors=000iC9mA6kC9jEBiFDgHFfIHeKJdLLbNOaPQ`QSZSUY\ TWXVYbVUWW_PWeIWk9TqCWpFYpH_pKapMcpPipSkpUmpXopZqp\ artfsscqp`nmYkkVhhTefQbcN_aKYZHVXFSUCPS9MP6JN3GK1E\ I5GL8INBKQFMSIOULQXPSZSU`VWcZYea_hdajhclkeongqqhsl\ cphZmcUj_QgWLdRGaNBZJ7WQAVXCV`JPdQKhXFlcApj5sq0mo4\ hn7clAYkDTiGOhJIfMDeP7cQ8dS9dTAdVBeWCeYDeZEf`FfaGf\ cKOBGfdVkrTjoSimRhkQgiPggOfeNecMd`LcZKcXJbVIaTH`R7\ d5G`POXgWTz`NneIcjCSn7HmAJlDKkFLjINiKOiNPhQRgSSfVT\ eXVd_WdaXe`Wf_VgZUhYTiXSjWSkVRlUQmTPnSOoROpQNqPMrO\ LsNKsNKqOJpOJnPJmPJkQJjQIhRIgRIfRIdSIcSHaTH`THZUHY\ UHXUHSTONSUIR`DQf8Pm4Os9eVDw6Bs8Ap99mB8jC7gE5cF4`H\ 3YI2VK1SL4RO7RRAQTDQWGQZJP`MPcOPeROhUOkXNm_NpbNseM\ uhMxjMzeKv`JsWHpRGmHPzNFjT3WS6VS8USATSCTSESSHRSJQS\ LQSNPSPOSSNSUNSWMSYLS_KDWWSaKgd7ef9dgBbhDaiF_kGZlI\ YmKWnMVoOTqPSrRQtTPuVMvQOwWPzaRzfSzlTzqUzpUzoUzoVz\ nVzmVzmWzlWzkWzkdz9gz9ccz } frm:MandelbrotMix3 {; Jim Muth z=real(p5), c=fn1(pixel), a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=real(p3), h=imag(p3), j=real(p4), k=imag(p4), l=imag(p5)+100: z=(a*(z^b))+(d*(z^f))+(g*(z^h))+(j*(z^k))+c, |z| <=l } END 20.0 PAR-FORMULA FILE==================================

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Re: [Fractint] No FOTD for February 18
by gnome＠hawaii.rr.com 18 Feb '03

18 Feb '03

>On Tue, 18 Feb 2003 00:44:54 -0500, Jim Muth wrote: > >>The fractalist is totally exhausted after digging through >6 foot snowdrifts for 4-1/2 hours. He needs a good rest so he> can >finish the digging job tomorrow. As a result, there will be no> FOTD >for February 18. If he survives the remaining 1/3 of the task,> the >fractalist will post the next FOTD on schedule on the 19th. > >Jim > >You have my sympahthy. It is only cold here (ie cold for us). > >Are not snowflakes fractal in nature? IIRC, they are. Haven't seen one in a couple of years, and had to go to the US mainland to see that! David gnome(a)hawaii.rr.com

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Re: [Fractint] No FOTD for February 18
by gnome＠hawaii.rr.com 18 Feb '03

18 Feb '03

Sounds like it's time to relocated to Hawaii, Jim! Not a snowdrift in sight! ;-) David gnome(a)hawaii.rr.com >Fractal enthusiasts and visionaries: > >The fractalist is totally exhausted after digging through >6 foot snowdrifts for 4-1/2 hours. He needs a good rest >so he can finish the digging job tomorrow. As a result, >there will be no FOTD for February 18. If he survives >the remaining 1/3 of the task, the fractalist will post >the next FOTD on schedule on the 19th. > >Jim (the fractalist) Muth

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No FOTD for February 18
by Jim Muth 18 Feb '03

18 Feb '03

Fractal enthusiasts and visionaries: The fractalist is totally exhausted after digging through 6 foot snowdrifts for 4-1/2 hours. He needs a good rest so he can finish the digging job tomorrow. As a result, there will be no FOTD for February 18. If he survives the remaining 1/3 of the task, the fractalist will post the next FOTD on schedule on the 19th. Jim (the fractalist) Muth

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