September 2009 - Fractint - mailman.xmission.com

experimental fotd feed
by Richard 17 Jun '10

17 Jun '10

<http://www.xmission.com/~legalize/fractals/fotd/test/index.html> Yes, there are gaps. xfractint doesn't always succeed in rendering. Comments? -- "The Direct3D Graphics Pipeline" -- DirectX 9 draft available for download <http://www.xmission.com/~legalize/book/download/index.html> Legalize Adulthood! <http://blogs.xmission.com/legalize/>

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FOTD 01-10-09 (Basic and Basicer [6])
by Jim Muth 30 Sep '09

30 Sep '09

FOTD -- October 01, 2009 (Rating 6) Fractal visionaries and enthusiasts: Today's image is another hurried one, but still worth a look. It's a quintic Minibrot lying on the unusually ragged east shore of the large north bud of its parent fractal, which is a near- Mandelbrot set about 5 times the normal size. About the only thing going for the image is the ring of 25 red- yellow highlights surrounding the four-lobed minibrot. These mostly-accidental highlights earned the rating of a 6. The name "Basic and Basicer" makes about as much sense as spending over an hour every day searching for fractals and writing about them. Actually, the name is also the names of the Fractint formula files I use most often. In keeping with a hurried day, the included parameter file runs in a lightning fast 53 seconds, so no time will be wasted doing something for nothing. But why not do something for something and hurry out to the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> to view the finished image there. Tuesday was cloudy and blustery here at Fractal Central. Wednesday was only slightly less blustery, with a temperature of 61F 16C. The fractal cats disapproved of both days. In my department both days were busy. The next FOTD will be posted in 24 hours, give or take a few. Until then, take care, and be a fractal whisperer. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Basic_and_Basicer { ; time=0:00:53.02-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=NewDivideBrot function=recip inside=0 center-mag=-0.1500974292445382/+3.620143085850874/\ 3.17549e+010/1/-5/0 params=5/5 float=y maxiter=1500 logmap=81 periodicity=10 mathtolerance=0.05/1 colors=000CCSEEUFFWGGYHH_IIaJJcKKeMMgOOiQQkSSmUUoW\ WqYYs__uaawccxhhymmzrrzvvzzzzzzzzzzzzzzzczvOzmezbS\ zSFvH2rDHmAVh8Xc6ZZ6aU6UPBKKMANXKIimDozTrzTtzSvzSz\ z_zzeTrWVmNZcXbUYfKZeDSbFL_Hm2VdARWIONQLcLyVPjMTWQ\ `Fl`Jl_ImYHnXGnWFoUEoTDpSCqQBqPArO9sM8sL7tK6vF2tJ5\ rN8zRBnVEzZHjbKzfNfjQznTbrWzvZazazy`Xy_zyZSxYQxYzx\ XMxWzwVHwUzwUCvTzvS8vRzzP4xQzvR8uSzsTBrUzpVFnWGmXI\ kYKjZMh_Ng`PeaRcbTbcU`dW_eYYf_bdZXfYRhaKmLoaNjcQed\ S`fVXhXSj_NkaImdDou3yp5vk7sf9paBmXDjSEhzGeIIbDK_8M\ XzNV4OU5OU6OTzPT7PT8PS9QSzQRAQRBRRzRQCRQzSPESPzSPF\ TOGTOzTNHUNIUNzUMJVMKVMzVLLWLMWKzWKzXzOXzPXzzYzQYz\ RYzzZzTZzTZzz_zV_zV_zz`zX`zz`zYazzaDzazzZDz`zzaDzb\ zzcDzdzzeDzfzzgDzhzziDzjzzlDzmzznDzoDzpDzqDzrDzsDz\ tDzuDzvDzwEzwEzwEzwEzwEzwEzwEszEszErzErzEqzEqzFqzF\ pzFpzFozFozFnzFnzFnzFmzFmzFlzFlzGkzGkzGkzGjzGjzGiz\ GizGhzGhzGhzGgzGgzHfzHfzH } frm:NewDivideBrot { ; Jim Muth z=(0,0), c=pixel, a=-(real(p1)-2), b=imag(p1)+0.00000000000000000001: z=z^2*fn1(z^(a)+b)+c |z| < 1000000 } END PARAMETER FILE=========================================

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FOTD 29-09-09 (3-Way Intersection [6.5])
by Jim Muth 29 Sep '09

29 Sep '09

FOTD -- September 29, 2009 (Rating 6.5) Fractal visionaries and enthusiasts: Things are rather rushed here at FC today, so the discussion will be short, leaving the image to speak for itself. The image, which shows a cubic minibrot lying in the Scepter Valley of its Mandelbrot parent, rates a 6.5. I don't know why I added the extra half-point. The coloring is not that great. The name "3-Way Intersection" has nothing to do with traffic engineering. It refers to the cubic nature of the scene. The calculation time of 1-2/3 minutes will keep the doctor away, but the trip to the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> to view the finished image there, will even pay the doctor's bill. Monday started sunny here at Fractal Central, but by mid-morning clouds moved in and by noon moderate rain was falling. The rain culminated in a sharp heavy shower around 2pm, followed quickly by a clearing and brisk wind. The temperature of 70F 21C was near ideal. The fractal cats noticed the changes and then went back to sleep. My day was as usual. Due to a work-connected trip on Tuesday, there will be no FOTD for September 30. The October 1 FOTD will be posted on schedule. Until then, take care, and be somewhat enlightened. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= 3-Way_Intersection { ; time=0:01:40.39-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=NewDivideBrot function=recip center-mag=-3.581162722144/+0.066980258199/2754663\ /1/57.5/0 params=3/3 float=y maxiter=1800 inside=0 logmap=171 periodicity=10 colors=000oU7pW7qY8r_9saAtcBueCvgBwiCvgCueCscDraDq\ ZDoXEnVEmTElREjOFiMFhKFfIGeGGdDGbBHa9H`7Hb2J_5HX7G\ U9FSBEPEDMGCKIBHKAEN9CP89R76T64V56U78U8AT9CTAESCGS\ DIREKRFMQHOQIQPJSPKYQKUPLQPLNPLJOMFOMCOMzzNzvNzrNz\ mKzkHziEzgCzeDzcEzaEz_FzYGzWGzUHzSHzQIzOJzMJzKKvIK\ rCImBGhAEc9Ca8A`7A_6AZ5AY4AX3AW3AV5AU6AT7AS8AR9AQA\ APBAKCAFDAEEAFFAFHAGIAGJAHKFHLKIMPINUJOZJPcKQhKRmK\ TeKU_KVTKWNKXGKYAL_3KZ4KY5KX6JW7JW7JV8IU9ITAITAHSB\ HRCHQDGQDGPEGOFFNGFNGFMHELIEKJEKJHJIJIHLHHNHGPGGRF\ FTEFWEEYDE_CDaBDcBChFCmKBrPBvUAzZAzc9zh9vc8rU8mK7h\ CKcEUZG`XIzUKzRKzPKzMKzJIzHFzEDzBBz7Az99zA9zB9XC9W\ E8UF8TG8SH8QJ8PK7NL7MM7LO7JP7IQ6GR6FT6DU6CV6BW59Y5\ 8Z56_55_33`54a74b95cB5dD5eF6fH6gJ6hL7iN7jO7kQ8lS8m\ U9nW9oY9p_AqaArcAseBtgBviAukBumBuoBuqCusCuuCuwDvxD\ wyDxzEyzEzzEzzFzzFzzFzzGzzHzzzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzz } frm:NewDivideBrot { ; Jim Muth z=(0,0), c=pixel, a=-(real(p1)-2), b=imag(p1)+0.00000000000000000001: z=z^2*fn1(z^(a)+b)+c |z| < 1000000 } END PARAMETER FILE=========================================

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FOTD 28-09-09 (Spiderwork Minibrot [7])
by Jim Muth 28 Sep '09

28 Sep '09

FOTD -- September 28, 2009 (Rating 7) Fractal visionaries and enthusiasts: Today's image lies in the same parent fractal as yesterday's image. Its exact location lies in scattered debris near the X-axis in the vicinity of Seahorse Valley. Most of the scene consists of inside stuff in the shape of circular rings made visible by rendering the image with the inside set to 'fmod'. The name "Spiderwork Minibrot" refers to the lacy network of debris filling the frame. The rating of a 7 seems about right. The calculation time of 9-1/2 minutes may be cut significantly by rendering the scene with the 'passes=g' option in effect, though doing so will tear apart the lacy network. All these difficulties may be eliminated however by viewing the finished image on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Sunday morning rain here at Fractal Central ended with a heavy shower at 3pm, followed by a clearing sky. The fractal cats enjoyed the few minutes of sun that fell on their window shelf. My day was average, which means there was nothing worth mention- ing. The next FOTD will be posted in 24 hours. Until then, take care, and be sharp. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= SpiderworkMinibrot { ; time=0:09:27.15-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=NewDivideBrot function=recip passes=1 center-mag=-2.145015465107/+0.013780976681/4991130 params=3/3 float=y maxiter=1500 inside=fmod logmap=yes periodicity=10 colors=00083C83AB2IE2PG1WJ1bL0iO0pQ0wP5tO9rOEoNImN\ MjMRhMVeLZcKc`KgZJkWJpUItRIxPLsOOoOQkOTgNVcNY_N`WM\ bSMeOMgKLjGLmCLo8Kr4Kt0Km4Ig7GaAEWDCQGBKJ9EM78P52S\ 41V31X31Z31`31b2zzzzzzzxmzvcztUzrKtpAmn4cl6Uj9KhBE\ fDGdGJbIL`KOZNQXPTVSVTUYRW_PZbN`dLbaO`_Q_XSYVUXTWV\ QYUO_SMaRO_SQZTSYUUXUWVVYUW_TWaSXcQYePYgOZiN_kL_mK\ `oJaqIalKYhMVcOS_POVRLRTIMVFIWBDY89_55`2Bc6HeAMgES\ iHYkLbmPhoTmqWloVknUjmUjlTikShjShiRggQffQeePedOdcO\ cbNcaN69j7Fd8L_9RVAXQBbKChFDnAEt5Ey0Ds5Dn9DhDCcICY\ MCTQBNVBIZBDbEEcHEcJEcMEcOEcREdTEdWEdZEd`EdcEeeEeh\ EejEemEeoEekNdgVccbc_jbWrbtFVnGXiHZdI`_JbVKcQLeLMg\ GNiBOjDPkFQlHQlJRmKRmMSnOToQToSUpTUpSVrSWsUZrWarYd\ r_grajrcmreprgsrivrkyrjwpiuohsmgqlfojemidkgcifbgda\ ec`ca_a`Z_ZYYYXWWWUVVSTURSTSVTSYTS_TSbSSdSSgSTiSTl\ RTnRTqRTsRTvRTxPQqOOjNLdLJYKGSJELHBFF8kE7hE7fD7cD6\ `C6YC6WB5TB5QA4NA4L94I93F } frm:NewDivideBrot { ; Jim Muth z=(0,0), c=pixel, a=-(real(p1)-2), b=imag(p1)+0.00000000000000000001: z=z^2*fn1(z^(a)+b)+c |z| < 1000000 } END PARAMETER FILE=========================================

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FOTD 27-09-09 (Absolute Minimum [7])
by Jim Muth 27 Sep '09

27 Sep '09

FOTD -- September 27, 2009 (Rating 7) Fractal visionaries and enthusiasts: Today's image is late for the usual Saturday reasons. It's a scene deep in a spurious valley on the negative X-axis of the parent fractal, which is an oversized Mandelbrot set just starting to change into a Z^3 Mandeloid. The rating of a 7 is what I consider the image worth; the name "Absolute Minimum" means almost anything one may wish. The calculation time of 7 minutes will pass like a freight train, so why not side track the train by viewing the finished image on the FOTD web site at. <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Morning clouds gave way to steady afternoon rain here at Fractal Central on Saturday, while the fractal cats' hope gave way to disappointment. The chilly temperature of 59F 15C added to their discomfort. My day was somewhat below average yet not too bad. The next FOTD will be posted in about 8 hours. At least I hope so. Until then, take care, and check back here later. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Absolute_Minimum { ; time=0:06:59.30-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=NewDivideBrot function=recip float=y center-mag=-3.866279368698615/-0.00000085627868251\ /9.63e+011/1/-90/0 params=3/3 mathtolerance=0.05/1 periodicity=10 maxiter=3200 inside=0 logmap=847 colors=000veKpdKkcKgbKeaKc`Ka_KbYKcWKdUKeSKfQKgOKh\ MKiKKiILiGLiDMhBMg8Mg6Ng3Nf1Nd2Md3Mc3Mc4Mc5Mb5Mb6M\ d7Lg7Lh8Li9Lh9LhALhALeFKcKJ`OJYTIWXHTaHQeGNjFLnFNh\ JObMPYQQSTRMWSH_TBbU6eTOUSdITeLUfNVfQWgSWgUXhXYiZZ\ ia_jc_jeZldZncZpbZrbZtaZv`Zx_Zz_WwWTtTQqQNnNKkKHhG\ EeDBbA8_76X48Z8A`BCbEEcHGeLIgOKhRMjUOlXQn`SocUqfWs\ iXtlYpkZmk_jj`gjacib`icYhdVheRhfOggLghIfiEfjBek8el\ 5e_`lSJOL10K44J78zzCzwFztJzmNzcQzUUvPYmR`cPYUNWKLT\ CJRBHOBGMCILDKLEMKFNKGPKIRJLTJOUIRWIUYIX_H_bHbeGeh\ KhkOknSnqWqt_tucrugqsjoqlmoolmrjkuiiwfftcdq`bnY`lV\ ZiSWfPUdMSaJQZHOXKMVMLTPKRRJPUHNVGLXFJYEH_CF`BDcAB\ e99g87hCCiFGjJLjMPkQUmTYoXap_frcjzzzzzzzzzzzzzzzn`\ zlVzjPzhJzfDzdezbJc`PP__AZZFYYKXYOVZPTzPR_zP`QNazL\ aRKbRIczGcSEdTCezAeU8fz7zU9czB`zDZzEzzGUWIRzKPXLMz\ NKzPHYQFzTHzVJ_XLz_NaaPzcRzeTzhVzjXzlZzn`zqbzszzuf\ zwgzqizlkzflzanzTrzNgzHXz } frm:NewDivideBrot { ; Jim Muth z=(0,0), c=pixel, a=-(real(p1)-2), b=imag(p1)+0.00000000000000000001: z=z^2*fn1(z^(a)+b)+c |z| < 1000000 } END PARAMETER FILE=========================================

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FOTD 26-09-09 (Wheel in the Sky [8])
by Jim Muth 26 Sep '09

26 Sep '09

FOTD -- September 26, 2009 (Rating 8) Fractal visionaries and enthusiasts: Today's hasty image combines various unlikely negative portions of Z^(-1.05) and Z^(-5.5). When (1/C) is added, the resulting parent fractal is a grossly oversized thing consisting of a nearly circular main bay with a kind of dimple on its eastern edge. Today's image is located in a bit of fractured chaos in the vicinity of this dimple. The extreme magnitude of the image makes the mathtolerance entry necessary. The name "Wheel in the Sky" was the first phrase that came into my head when the time came to name the image. It might also be the name of an old song. The rating of an 8 indicates that I think the image is pretty good. The calculation time of 8 minutes is slightly dragging, but the trip to the FOTD web site, where the finished image is posted, is much faster. The web site may be accessed at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> A sunny day with a temperature of 70F 21C was just what the fractal cats ordered here at Fractal Central on Friday. They were totally satisfied with the afternoon sun. My day was rather busy but otherwise acceptable. The next FOTD will probably be posted in 24 hours. Until next time, take care, and it's double or nothing. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Wheel_in_the_Sky { ; time=0:08:04.83-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=MandAutoCritInZ function=recip passes=1 center-mag=-3.216611489264435/+0.5748460602506144/\ 2.053771e+012/1/51.5/0 params=-2.475/-1.05/-0.275/\ -5.5/0/0/0/0 float=y maxiter=12000 inside=0 periodicity=10 mathtolerance=0.05/1 colors=000hfcfdbecadb`ba_a`Z`_YZZXYXWXWVVVUUUTTTSS\ SRQRQPQPOOOMNNLMMKLLIKKHJJGIIFHHHJJJLKLMMMONOPOQRQ\ RSRTUSVWUWXVYZW__YaaZbb_ddaffbggciielkgnniqpltsnww\ wxxxyyyzzzyyysssrrrmmmmmmamlemljmlnhlrhlmhlihmfhmc\ hm`imYimVinSjnPjnLjnIknFkoCkp9lq6lr3ms0nt2nu4nv6ow\ 8oxAoyCnzElzFjzHiyJgwLfuNdsPcqRcoSbmUamWamY`m__ma_\ mcZmdZmbYlaXk`Wj_WiZVhYUgXUfVTeUSdTScSObRQaQM`PF_N\ LZMAYLJXKAWJHTIAUHARGASDA9FACHFFKGKMHPRIUUKZYLc_Lh\ cMmfMrhNvjNzmOzpOzsOzvOzuOzlHtgGobFiYEdTDZOBUKAOG9\ JC8D87846355555655855955A55C55D54F54G54H54J54K54M5\ 4N54OA8PFCQKGRPKRUOSZSTcWUgZUfYTfYTb_W_`YWa_TcbPdd\ MefBSIBTJBUJAUKAVKAWLAXLAXLBWMCVNCUNDTODSPERPEQQFM\ RGIR0ES0AT00T00P00A00Y00A00c00ALEmMDZMCmLDYKUzJDYJ\ EmIEYHUzGFXGFmFFXEUzDGXDGmDESDDmDCmDBmDAmD96D82F76\ H79J6CL6FN5IP5LR4OT4RV3UX3XZ2_`2bb1ec1hb3ga5f`7e_8\ d_AcZCbYEaXFaeRSfVVgZYhb` } 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=========================================

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FOTD 25-09-09 (TDIS For All [8])
by Jim Muth 24 Sep '09

24 Sep '09

FOTD -- September 25, 2009 (Rating 8) Fractal visionaries and enthusiasts: I was playing around with one of the older MandelbrotBC formulas (MandelbrotBC2) on Thursday when I came up with today's surpris- ingly good image. It is so good in fact that I crowned it FOTD for Sep 25. The parent fractal is a Mandeloid of the formula Z^(1.99)+C, as it appears 10 levels up the logarithmic ladder. This parent is a slightly distorted and rotated Mandelbrot set. Today's image is located in the Seahorse Valley of its parent. The striped effect was achieved by rendering the image with the outside set to 'tdis'. The 'tdis' outside also inspired the name "TDIS For All". The rating of an 8 is a fair comment on what I think of the image. The calculation time of 1-2/3 minutes will waste no one's time, that is unless they are totally disappointed with the result. The way to eliminate all risk of wasted time is to view the completed image on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Thursday appeared to be a loss until 3pm, when the sun suddenly burst through the clouds just in time to give the fractal cats their hour in the sun. The temperature of 77F 25C could hardly have been better. My day was average, with little more to be said about it. The next FOTD will be posted in 24 hours. If it does not appear as scheduled, you will know it did not make it. Until next time, take care, and ponder the improbable. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= TDIS_For_All { ; time=0:01:41.79-SF5 on P4-2000 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotBC2 center-mag=-0.7431880192\ 1538760/+0.00305014005282306/1.955000e+011/1/11/0 params=1.99/0/10/0 float=y maxiter=1200 inside=0 passes=1 outside=tdis periodicity=10 colors=000883TISmSoRhq5ys4pl3gf2Z_2QU1HN08H00B77DE\ EELLGSSHZZIbWKeULiRMlPNoMPsKQvHRyFSlWFfTF`QFVNFQKF\ KHFEEF8BF39F2RM1gT1xZHUvQSuZRtfQtdUpcYlb`hadd`h`_k\ XZoTYrP_sOatNcuNdvMfwLhxLjyKkzKijNgWQeGTc1V_7WWCWS\ HWPNWLSWHXUEaUC_UBXmAUm9Rh8Oc7LZ6JU5HP6GK7FE8EG9DH\ ACJCBLDA0EA0FA0GA0HA0IA0JA0IE0II0IL0IP0ITQcWPc_Ozc\ NzfMzjLzmKzoPUqU_rZetbkugqwlvxpstqpqrnmrkjsigtfctd\ `uaYuZUvXRwUNwSKzPHzNDzKAzI7zOEzTKzYQqcXohblmhzrnz\ pnzonznnzlnzknzjnzhkzfhzdfzbcz``zZZtXWtVTzTRzROzPL\ zNJzLGzJDzHBzJCzKCzLDzNDzODdPEbRE_SEYTFVVFSWGQXGNZ\ GK_HI`HFaHDgx2OsB4oK8pKCpKGpKJqKNqKRqKVrKYrKarKesK\ isKlsKptKttKwtKrrInpHjoGfmFblEYjCUiBQgAMf9Id8Ec7I_\ BLXFOTISQMVMQYJTWGRUEPSCNQAMO8KM6IL4HQBMVHQ_NUdUZi\ _bmefkjYjoPbggV_zTXwSVtQSqPQoOUhNYaMaVMePBhe1juFkn\ SlhemarnWqlSqkOqiKphGpfCpe9uBonHmgNl`TjUZiNdgGjf9p\ d2vc1rf1nhHrbXuXkxSpRNUHD } frm:MandelbrotBC2 { ; by several Fractint users e=p1, a=imag(p2)+100, p=real(p2)+PI q=2*PI*floor(p/(2*PI)), r=real(p2)-q Z=C=Pixel: Z=log(Z) IF(imag(Z)>r) Z=Z+flip(2*PI) ENDIF Z=exp(e*(Z+flip(q)))+C |Z|<a } END PARAMETER FILE=========================================

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FOTD 24-09-09 (Bubbles in the Blue [9])
by Jim Muth 23 Sep '09

23 Sep '09

FOTD -- September 24, 2009 (Rating 9) Fractal visionaries and enthusiasts: A FOTD fractal with a rating of a 9 is a rare beast, but today we have one, a welcome relief from the string of 6 and 7 rated images. The parent fractal came about when I subtracted 0.2 part of Z^(-7) from 0.2 part of Z^3 and added (1/C). This parent resembles nothing as much as a network looking like an overdone pancake with various shaped holes scattered about. The largest hole is a twisted Mandelbrot set with a wedge pointed at its East Valley. Today's scene is located on the shoreline of this wedge. The unusual effect was achieved by rendering the scene with both the outside and inside set to 'fmod' with a proximity of 1. The image is divided about 50-50 between inside and outside parts. One glance at the image will show why I rated it at a 9. A second glance will explain the name "Bubbles in the Blue". The calculation time of just over 1 minute will make taking the glances a very brief task. But there are always those overquali- fied computers that will not run DOS fractint. Those with such units may view the finished image on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> My Wednesday ponderings were on the four-dimensional phenomenon known as double rotation, where an object such as a hypersphere may be subject to two totally independent and distinct rotations at the same time. Of all the unvisualizable things possible in 4-D space, this is perhaps the most intriguing, for unlike most other 4-D stuff, it has no analog in 3-D space. Morning sun gave way to afternoon clouds here at Fractal Central on Wednesday, while the temperature reached a summer-like 82F 28C. The fractal cats are still more concerned with their power- ful new catnip rats than the weather. My day was about average. The next FOTD will be posted in 24 hours. Until then, take care, and what we need is a fractal tea party. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Bubbles_in_theBlue { ; time=0:01:07.12-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=MandAutoCritInZ function=recip passes=1 center-mag=+1.110714075944/+0.083632827962/4955856\ /1/87.5/0 params=-0.2/-7/0.2/3/0/0/0/0 float=y maxiter=500 inside=fmod proximity=1 outside=fmod logmap=yes periodicity=10 colors=000zzzvyvrxrmwmhvmcumZtmUsmPrmKqmFpmAom6nm6\ mm6mm6mm6lm6lm6km6km6jm6jm6im6im6hm6hm6gm6gm6gm6fm\ 6fm6fm6fm6em6em6em6em6dm6dm6dm6dm6cm6cm6cm6cm5bm5b\ m5bm5bm5am5am5am5`m5`m5`m5`m5_m5_m5_m5_m5Zm5Zm5Zm5\ Zl5Yk5Yj5Yi5Yh5Xh5Xh5Xh5Wh5Wh5Wg5Wf5Ve5Vd5Vc5Vb5Ua\ 5U`5U_5UZ4TZ4TZ4TZ4TZ4SZ4SZ4SZ4SZ4RZ4RZ4RZ4QZ4QZ4Q\ Z4QZ4PZ4PZ4PZ4PZ4OZ4OY4OY4OY4NY4NY4NY4NY4MY4MW4MW4\ LW4LV4LU4LU4KT4KT4KS4KR3JR3JR3JP3JO3IN3IM3IL3IK3HI\ 3HG3HE3HC3GB3GA3GA3FA3FA3FA3FA3EA3EA4EA6EA8DBADCCD\ DEDEGEFIEFKEFMEFOFFQFFSFFUFFWFFYFF_FP`FPaFPbFPcFPd\ FPeFPfFPgFPhFPiFPjFPkFPlFPmFPmCQnEPnFPnGPnHPoJOoKO\ oLOoMOpNOpPNpQNpRNqSNqUMqVMqWMrXMrYMr_Lr`LsaLsbLsd\ KseKtfKtgKthKtjJukJulJumJupIvsIvvIzzmzzzzzmvvItrIs\ oIrmIpkIoiImgIlfIkdIibIh`IgZIeXIdVIbTIaRI`QIZOIYMI\ WKIVIIUGISEIRCIQBISCHTDGUDGWEFXFFYFE_GE`HDaHCcICdJ\ BpKMnKNmJOlJPjIQiIRgHSfHT } 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=========================================

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FOTD 23-09-09 (Agitated Iterations [6.5])
by Jim Muth 23 Sep '09

23 Sep '09

FOTD -- September 23, 2009 (Rating 6.5) Fractal visionaries and enthusiasts: Today's image is a scene on the infinitely fractured main negative stem of the Z^(2.001)+C Mandeloid as it appears at ground level of the logarithmic ladder when no function is applied. The precise location is in the East Valley of the large minibrot on this fractured stem. The name "Agitated Iterations" sounds like much but means nothing. It was the first thing that came to mind when I put my brain into idle, which I often do. The rating of 6-1/2 includes a 1/2 point bonus for about 5-minutes extra effort I devoted to the coloring. The calculation time of 1-1/2 minutes is close to average. The trip out to the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> where the image may be seen instantly, is always average. My ponderings for Tuesday were largely upon the degrees of freedom in the fourth dimension. As is usual, I came to no conclusion, but it was a lot of fun. The gloom brought on by the heavy clouds here at Fractal Central on Tuesday was mitigated by the dry weather and a pleasant temperature of 77F 25C. The fractal cats spent the day worrying about the fresh new catnip rat. They were unconcerned with the lack of sunshine. My day was normal. Unless the world ends, the next FOTD will be posted in 24 hours, and it is likely to be a fractal never before seen in the entire history of human investigation. Until then, take care, and where will all the fractals go when the power goes off? Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= AgitatedIterations { ; time=0:01:33.85-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=MandelbrotBC3 function=ident center-mag=-1.748190276984/+0.019122558784/5e+007/\ 1/-105.5/0 params=2.001/0/0/0 float=y maxiter=1750 inside=0 logmap=168 periodicity=10 colors=000UJdTIcSHbRGaQF`PE_ODZNBYM9XL7WK5VE0U90T3\ 0P00K00F00A005000000000000000000gW7jV8lU9oTAqSBtRC\ vQCpXGkcKejO`qRbnPdlOfiNhgLjdKlbJm_HoYGqVFsTDuQCwO\ BxMAsz7nz4kv8hr8fo8dl8bi8`f8Yc8W`8UY8SV8QS8OP8NNDN\ LPMJUMHZLFcLDhKBmKKrJNzJUzIZzIYzMRvPNrT9nWBi_DfbFc\ fH_iJXmLUpNQtPNwRKvQLvPLuOLuNMtMMtLMsKNsJNrINrHOqG\ OqGOsMPuSQwXRybSzgSj_ZWSdVReVQeVPeVOeVNeVMfVLfUKfU\ JfUIfUHgUGgUFgUEgUDgRFcOG_LIWJJTLLUNMVPOVRPWTRWVSX\ WTXYVY_WZaYZcZ_e`_ga`hb`lUeoLjrCnnIkjOhgTecZb`d`Xi\ YUoVQuSNzQcxJtwCqvEnuFkuGitHfsJcsKarLZrMWqOUpPRpQO\ oRMnTJnUGmVEmWCsbAxhCwiEwjFwkHwlIvmKvnMvoNvpPuqQur\ SusTusPppMkmIfkFahBXe8Sc4N`1IZ6P`BVbG`dKffPlhUrjYx\ lawcevWiuNltFmqHmnJnlLniNngPodQocSodUpeWpfYpgZkhYf\ iXbjXYkWUlWYmV`nVcoUgpUjqTmrTjsVgtXduZbv`_wbXxdUyf\ SzhUziWzjXzkZzl_zlazmczndzofzpgzpezqdzrczrazs`zs_z\ tZztXzuWzuVzvUzvSzwbz6dz6 } frm:MandelbrotBC3 { ; by several Fractint users e=p1, a=imag(p2)+100 p=real(p2)+PI q=2*PI*fn1(p/(2*PI)) r=real(p2)+PI-q Z=C=Pixel: Z=log(Z) IF(imag(Z)>r) Z=Z+flip(2*PI) ENDIF Z=exp(e*(Z+flip(q)))+C |Z|<a } END PARAMETER FILE=========================================

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FOTD 22-09-09 (Something Else [8])
by Jim Muth 22 Sep '09

22 Sep '09

FOTD -- September 22, 2009 (Rating 8) Fractal visionaries and enthusiasts: Due to a lack of time, today's discussion will once again be short. The parent fractal is the same as yesterday's but the scene has shifted to a blunt valley of a large hole just to the northeast of its main bay. I named the image "Something Else" because it's something else in the same fractal. The rating of an 8 might stretch the worth a bit, (Is the image really better than yesterday's?). The minibrot at the center does strike me as above average for the Z^1.9 range however. The calculation time of 1-1/4 minutes will pass in a flash. The trip to view the finished image on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> will pass in a flash also. The clouds moved in fast here at Fractal Central on Monday, though the rain held off until well after dark and the temperature reached a pleasant 75F 24C despite the lack of sun. The fractal cats ignored the weather, enjoying instead the fresh catnip rats we picked up on Sunday. Cassie got a bit tipsy. My day was uneventful; even the work was humdrum. If nothing unexpected comes up first, the next FOTD will be posted in 24 hours. Until then, take care, and after listening to the 'music' blaring from a passing car this afternoon, I am left to wonder why the young people of today seem to enjoy being kept angry. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Something_Else { ; time=0:01:14.53-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=MandelbrotBC3 function=ident center-mag=+0.71021616856/-0.05517047022/443232.9/\ 1/60/0 params=1.9/0/1/0 float=y maxiter=3200 inside=0 periodicity=10 colors=000bpGasEZoDWlCTiBRfAOc9L_8IX7GU6DR5AO48L4C\ K7FKAIKCMJFPJHSJKWIMZIPaIRbLPbOOcQMcTLcVJdYId`GebF\ eeDegCfjAfm9go7gr6gt5bmAYgFT`KOVPJPUEIZ9Cc46h85gB5\ fF4eI4dM4cP3bT3aW3aZ2`b2_e1Zi1Yl1Xp0Ws0Vv0Vr5To9Rl\ EPhIOeNMbRKZWJW_HTdFPhEMmCJqAGu9CnI8gQ4`Y7_V9ZTBYR\ DXPFWNGWTHWZHWcKVdMVdOVeQVeSVfUVfXVfZVg`VgbVhdVhfV\ hbYgZ`gVbgRegOhfKjfGmfCpf9rfAngAjgBfgBbgCZgCVgDRgD\ NgEJgEFgFBgF7gL9jRBlXDobEqhGsnIvtKxyLzwKwvJttIrsIo\ rHlpGjoFgmFdlEbkD_iCXhCVfBSeAPdANcDQcGScIVbLXbN_bQ\ aaTdaVfaYi`_k`bn`dpZfkXhgVjcTl_RnWPpRNrNLtJJvFHxBF\ z7RhKbRWgAggJ_`STU`LNszOuzPhPQgURlzSozTfiUeoSexWiy\ UdxScxQbwOawMavK`vI_uGZuEZuFXsGVqHToHRmIPkJNiJLgKJ\ eLHcMFaMD_NBYO9WO8UN7NN7HN7BMDELIGKOJJTLIYOHcQGhTF\ mVJiSNeQRaOUYMYUJaQHeMFhIDlEApA8t66w24s36o48k49g5B\ c6C_6EW7GS8HO8JK9KGAMCAO8BP4CR1CS5HV8LYBP`EUbHYeKa\ hNejMdgMceMbcMa`M`ZL_XLZU } frm:MandelbrotBC3 { ; by several Fractint users e=p1, a=imag(p2)+100 p=real(p2)+PI q=2*PI*fn1(p/(2*PI)) r=real(p2)+PI-q Z=C=Pixel: Z=log(Z) IF(imag(Z)>r) Z=Z+flip(2*PI) ENDIF Z=exp(e*(Z+flip(q)))+C |Z|<a } END PARAMETER FILE=========================================

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