December 2013 - Fractint - mailman.xmission.com

FOTD 08-12-13 (Wrapped Around [A-8,M-7])
by Jim Muth 08 Dec '13

08 Dec '13

FOTD -- December 08, 2013 (Rating A-8,M-7) Fractal visionaries and enthusiasts: Today's image came about when I took the expression Z^(1.333)+C, calculated it 7 levels up the hyperspiral (hyperladder) with the 'floor' function applied, and checked the resulting fractal. The name of today's FOTD, "Wrapped Around", does not refer to the image itself, but to the parent fractal in which it lies. This parent has been caught in the act of wrapping around the complex logarithmic hyperspiral and slipping off into uncharted higher dimensions. It consists of a large twisted open area with two broken chaotic filaments extending north and west, and a prominent bud on the southeast shore line. Today's scene lies not too far out in the chaotic filament extending to the north. I have not yet checked the bud. The art aspect rates an 8, which is justified because the image is one of the better ones I have found in the exponent range between unity and two. And I really did put extra effort into the coloring. The math aspect rates a 7, with a good part part of the worth lying in the parent fractal, which has been caught spiraling off into another world. The calculation time of 1-1/4 minutes is close to the average time it takes for a fractal to calculate on today's fireball fast but not always DOS capable machines. The web sites can deliver the image faster, with no DOS compatibility problems. So save calculation time. See the finished image online at: <http://www.crosscanpuzzles.com/Archives.html> <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> <http://www.Nahee.com/FOTD/> <http://user.xmission.com/~legalize/fractals/fotd/about.html> Cloudy cold weather with a temperature of 27F -3C prevailed here at Fractal Central today, with light snow beginning in the afternoon and worse to come tonight. The fractal cats, who do not appreciate their snug warm home, kept watch for the unlucky cats outside, who have no snug warm home to go to to keep them comfortable. In fact, Nico growled and hissed from the window when one of them wandered into the yard, looking for food. The fractal humans spent the day battening down for the winter storm, which might not be as bad as some are forecasting. The next FOTD will be posted in a reasonable time. If the storm causes problems, it might not be for a couple days. Until whenever, take care, and everyone knows what must be done to stop climate change and save the earth, but no one wants to inconvenience themselves enough to do it. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Wrapped_Around { ; time=0:01:15.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=MandelbrotBC3 function=floor passes=1 center-mag=-0.5153288927852182/+1.547161935824231/\ 2075069/1/92.5/0 params=1.333/0/7/0 float=y maxiter=2250 inside=0 logmap=122 periodicity=6 colors=000A2YA3XA4WA5VA6UA5TA3SA7RA5QA0PA5OA5NA6MA\ 2LB1KA3IA3G93E82C72A60850640430220010000000O05c0Rw\ 0zz0mg0hF0m00z00F0480010zczzzzgtzYmzPfzE_zBQz7Jw3C\ s06o04k00g00c00c00c00c00c00c0vz0czFnnYwNqz0pk4nS7n\ BBl0Hi0Li0Ne0Lc0La0L_0LY3KWCKUKKRUKOaKMiJPnRUp_Vuh\ _wrczzezzizzkzzizzizvgzehyTfwEfu3gr0kp0nn0pk0rh2wf\ 3yd5zb7z_9zYBzWDzUEzUGJe00p00i00e00a00Y20UB0PL0LW0\ He0Dp09z03z10z90zD0zG0uD0r90r50p30p00n00n00n00l00l\ 00i00i00g00g00g00n40uL0zc0ze0yg0ri0ll2en9ZpFSrMMuS\ Fw_9yf3zm0zt0ca1FL704D00H0BRO_aqygluigpjeknafn_anV\ YpUUpPRrNNrJJrGFuCBuA7w73w62wBJJF_00zH0zP8iVOcccci\ rcpncUlM9ih0gh0`h0Xh0Th0Nh0Jh0Fh0cy0cy0hy0hy0hy0my\ 2my4my5my0my0my0zy0zy0zy0zy0zyDz_mzcmzhmzjmzomzrmz\ vmzymzzmzzmvzmrzmnzmizmezm_zmWzzRzzNzzJzzFzz0zz0zz\ 0zz0zz0zz7zzEzzLzzTzzazzhzzrzBzz5zz0zz0zz0zz0zz5zz\ 9zzDzzGzzLzzPzzTzzXyzZtzc } 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 06-12-13 (Straight and Narrow [A-8,M-7])
by Jim Muth 06 Dec '13

06 Dec '13

FOTD -- December 06, 2013 (Rating A-8,M-7) Fractal visionaries and enthusiasts: The strange object in today's image is a fractal bay trying to become a quadratic bud in the parent fractal that results when the formula Z^(1.333)+C is iterated 333 levels up the complex logarithmic hyperladder. This parent is a very unimpressive blob, an open area with almost nothing to attract interest. There is a small bay on the southern shore of the open area however, and it is this small bay that appears in today's image. Do not be fooled by the great height of today's scene on the hyperladder. The so-called hyperladder actually more of a hyperspiral, and the images found on it are a recurring periodic series rather than an infinity of ever new and more interesting fractals. The name "Straight and Narrow" does not refer to the difficult path to heaven. It describes the filament extending from the bud, which is filled with small minibrots. (Some of these minibrots might be worth a look.) The artistic worth of an 8 could be just a little inflated; the math worth of a 7 seems right on the mark. The calculation time of 1-3/4 minutes is a fair price to pay. For more fairness check the web sites. The fastest way to see the finished image is to check it on the FOTD web sites at: <http://www.crosscanpuzzles.com/Archives.html> <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> <http://www.Nahee.com/FOTD/> <http://user.xmission.com/~legalize/fractals/fotd/about.html> The day began with rain here at Fractal Central. The rain ended by 10am, leaving clouds that hung on into the afternoon until the rain resumed at 3pm. Ice and snow are expected tonight, but with a present temperature of 45F +7C, it will have to get quite a bit colder before anything frozen will fall. The fractal cats had little time to worry about the weather. Jazzy was too busy acting like a kitten and Nico was too busy watching her act so crazy. The humans had a rather quiet day, which is the way we like it. The next FOTD will appear in the near future. Until it does, take care, and I hear a lot of complaints about a lack of equal rights. If this were true, it could be remedied by proper legislation. But we have had laws granting equal rights for half a century. As I see it, the problem today is both a lack of the incentive to take advantage of the laws and the inability to do so. Jim (leaning to the right today) Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= StraightAnd_Narrow { ; time=0:01:45.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=MandelbrotBC3 function=ident passes=t center-mag=-0.369975/-0.635203/4.61/1/-167.5/0 params=1.333/0/333/0 float=y maxiter=4050 inside=0 logmap=11 periodicity=6 colors=00000000001A12A23C34E45G56I67K77M87O98QA8SB\ 8SC9SD9SE9SDASDASCASBBSBBSABS9CS9CS8CS7DS7DS9GOAIK\ BKGDNCEP8FR4HR9IREJRIKRNLRRMRWNR_PSZQTZSUYTVYUWXWX\ XXYWZZW__V``VbaUcbUdcTfdTgeSifSjgRkhRmiQnjQojQmkSl\ kUjlVilXhlYfm_em`dmbbncane_ofZohYoiWpkVplUpnSqoRqq\ QqrOnoNmlMmiKmgJpdIrcIraGrZFrXErUDrRBrOArMArJlcLlc\ MlcNlcOlcPlcQlcRlZSlZTlZUlWUlXVlYWlZXl_Yl`ZlX_lY`l\ Zal_bl_bnYZoXWpVSqUPrTLtRIuQEvPBwN7xM4yL1tO5pQ9lTD\ hVHcYLc_PcbTcdXce`cedcfhcflcgpciscgrcfrcdrccrcbqc`\ qc`qcaqcapcbpcbpcbpcaoc_ocZocYocWnbVndTnfSnhRmjPml\ OmnNmoPjpRgqTdqVarXZsZWs`TtbRudOufLvhIwjFwlCxn9yp6\ yr4zoAzkAzh0zc1zZ1zU1zP1yK1xF7wACvCIvENuGSuIYtKbtM\ gsOmsQrsSwpRsmQpjPmgOjdNgaMdZLabIoaHp`Fq_Dr_BsZAtY\ 8uX6vW4wW3xV4yV4zU4zU4zT4zT4zTKzSKzSKzRKzRKzQKzQKz\ QKzPKzPKzOKzOKzOKzNKzNKzMKzMKzLKzLKzLKzKKzKKzJKzJK\ zIKzIKzIKzHKzHKzGKzGKzGKz } 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 05-12-13 (On the Superspike [A-7,M-7])
by Jim Muth 05 Dec '13

05 Dec '13

FOTD -- December 05, 2013 (Rating A-7,M-7) Fractal visionaries and enthusiasts: Today's image shows a minibrot lying way out near the tip of the main spike of its parent fractal. But this parent is not the Mandelbrot set. It is a Z^(1.333)+C fractal with a spike that puts the spike of the M-set to shame. To begin, the spike is far longer than the M-set's spike, and it also points northwest instead of straight west, with far more fractal detail along its path. With all these superior features, I could consider the spike nothing less than super, which was reason enough to name the image for its location -- "On the Superspike". The parent fractal came about when I calculated the expression Z^(1.333)+C at a height of only one level up the hyperladder (or hyperspiral) with the cosine function applied. I think this is the first time I have applied the cosine function to the MandelbrotBC3 formula, and at today's hyperlevel it produces a rather scrambled parent with little but its one superspike. The image came about as a result of an effort to duplicate the rating of yesterday's image, but the final result was less impressive, rating only a 7 for both art and math worth. The image is a super fast one, finishing in 20 seconds or less on a SOTA (State Of The Art) machine. Even on older units it will finish very fast. Viewing the finished image is always more convenient than calculating it however, so enjoy the convenience of direct viewing by checking the FOTD web sites at: <http://www.crosscanpuzzles.com/Archives.html> <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> <http://www.Nahee.com/FOTD/> <http://user.xmission.com/~legalize/fractals/fotd/about.html> Heavy clouds spoiled the first half of the day here at Fractal Central today, while rain spoiled the second half. The temperature of 57F 14C was quite reasonable for the season however. The next FOTD will soon appear. Until the apparition happens, take care, and when a totally crazy man wins the mega-lottery and becomes unimaginably wealthy, should he then be considered merely eccentric? Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= On_the_Superspike { ; time=0:00:20.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=MandelbrotBC3 function=cos center-mag=-4.185306304415169/+6.636739950187376/\ 7253877/1/58.75/0 params=1.333/0/1/0 float=y maxiter=2500 inside=0 logmap=41 periodicity=6 colors=00000400500700810920A30A10B30C50D81AB27918C\ 24E35G45I55K65K65N66O86T86W96YA6_B7aB7cC7eD7gD7iC8\ kC9mBAjBBeAC`ACW9DR9EM8FH8GC8G79J4AM5BP7CU8DZ9EcBG\ hCImDKrFMvGOzHOwGMuFKsEJqDHmCGmBEmAClAAk98j86i75i6\ 4g53f42e31d30cB0XI0SQ7aX7Yd6Tk5Os4Jz4Fy8JyCMyFPxJS\ xMVxQYxT`wXdw`gwcjvgmvjpvnsvqvqpsmppipmepk`phXpeTz\ bPz`cz_czZczYczzczzczzczzczzczzctzmtzmtzmpzmmNmjKm\ gImcFm`DrYArV8rS6rW6rZ6ma6me6mh6mk6mo6mr6Ou6Os7Oq8\ Op9OnAOlAOkBOiCOgDOfEOdEObFOaGO_HOYIOXIRUKTSLVQMXO\ OZMP`KQcHSeFTgDUdBWa9XZ7YW5ZZ7_b9_fB_jC_iE_hG_fI`e\ J`dL`cN`bP`aQ`ZQgYTdXVbXX`WZYV`WVbUzdRzfPzhNzjKzlI\ znGzpEziUzcizYyz_vzatzcrzepzgnzikzzizzgzzezzczzfzz\ izzlzznzzqzztzzwzzyzzyzzyzzyzzyzzyzzezzMzz2zz5zz7z\ zAzzCzzFzzHzzJzzMzzOzzRzzTzzVzzYzz`zzczzfzzizzlzzo\ zzrzzuzzxzzvzzuzztzzrzzqzzpzznzzmzzlzzjzzizzhzzfzz\ ezzdzzizzmzzrzzvzzzzzpzzf } 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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<Brian>I like your logarithmic spiral made of logarithmic spirals!
by Hal Lane 05 Dec '13

05 Dec '13

Brian, Thanks for posting your two images. I especially like your BP_18_64.png -- the logarithmic spiral made up of logarithmic spirals! Your image reminds me of a fractal I was calculating overnight, but lost due to a Blue Screen of Death... Is BP_18_64.png a zoom into Jim's FOTD for Nov. 29th, 2013? <---<< - Hal Lane (\__/) ######################## (='.'=) # hallane(a)earthlink.net (")_(") ######################## ----------------- Author: Brian Prentice Date: 2013-12-03 08:50 -500 To: Fractint and General Fractals Discussion Subject: [Fractint] Two Details Two details from recent FOTD's: http://bprentice.webenet.net/Fractal%20Images/Set%2018/BP_18_64.png http://bprentice.webenet.net/Fractal%20Images/Set%2018/BP_18_65.png Brian Prentice ----------------- --- This email is free from viruses and malware because avast! Antivirus protection is active. http://www.avast.com

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FOTD 04-12-13 (Pseudo-Quadratic [A-9,M-9])
by Jim Muth 05 Dec '13

05 Dec '13

FOTD -- December 04, 2013 (Rating A-9,M-9) Fractal visionaries and enthusiasts: Today's superior image shows a minibrot in the parent fractal that results when the expression Z^(1.333)+C is iterated one level up the hyperladder with no function applied. This parent fractal rather resembles the eastern half of the main bay of the Mandelbrot set, complete with a quite convincing large quadratic bud on its northern side. Today's unusually brilliant scene features a minibrot lying on a tiny disconnected filament fragment near this almost-quadratic bud. >From a distance, the minibrot in today's image is shaped strikingly like the countless Minibrots found in the M-set, though a closer check reveals huge differences. The name "Pseudo Quadratic" refers to this false resemblance. In my opinion, both the art and the math aspects are worth the rating of a 9. The art rating reflects the extra effort required to achieve the brilliancy. The math rating is so high because I have never seen a minibrot so closely resembling a quadratic minibrot in a fractal with an exponent of Z as low as 1.333. The calculation time of 4-3/4 minutes is admittedly slow, but at least in today's case, the result is well worth the wait. The finished image is or soon will be available on the following FOTD web sites: <http://www.crosscanpuzzles.com/Archives.html> <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> <http://www.Nahee.com/FOTD/> <http://user.xmission.com/~legalize/fractals/fotd/about.html> Fine early winter weather prevailed here at Fractal Central today. The day began with heavy fog, but the fog lifted in the morning and revealed a mostly sunny sky that remained that way through the afternoon. The ample sun raised the temperature to a high of 48F +9C. The fractal cats appeared too interested in each other to pay much attention to the sun on the window shelf. The fractal humans had other things to do. The next FOTD will be posted in the proper time. Until whenever, take care, and which is worse -- conservatives who want to pass laws to force everyone to obey the rules of behavior set down in their Bible or liberals who want to pass laws to eliminate the natural inequalities inherent in humanity? As I see it, neither of these goals is ever going to be achieved, but it sure is a lot of fun watching the two sides continue their futile squabbling. Jim (neither right nor left) Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Pseudo-Quadratic { ; time=0:04:45.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=MandelbrotBC3 function=ident passes=1 center-mag=-0.3243347326496687/+1.081261598206034/\ 3.441011e+009/1/172.5/0 params=1.333/0/1/0 float=y maxiter=5000 inside=0 logmap=-305 periodicity=6 colors=00000B00C00D00E00F10G20H30I40J50K60L70M80N9\ 0OA0P50G50H50I50J50K50L50M50N50O50P50Q50R50S60T70U\ 80T80T71S72S63S64Q53P53O42M40J30H30D208204100zQKtJ\ KqAKn8Hj8Dh46g60hB0iH0jL0kP0lT0mX0ma0ne0oi0pm0qq0z\ zFzzcVbB7HL6KK6MJ6OI6RH5TG5VF5YE5_D5aC6eD7iD8lD9pE\ AsEBwEBzEIyKPyQWyWbyaiygoylmvjkthjrfhpdfnbel`ciZbg\ X`eVZcTYaRW_PVYNTWOSVORTOQSPPQPOPPNNQLMQKKQJJRIHRH\ GRGESFDSECSJJWOQ_TXcYcgbjk`il_hmZhmYgnXgoWfoVfpUeq\ TeqSdrRdrOZzMTzJOzHIzECzC7zDCzDGzEKzEOzFSzFXzG`zGd\ zHhzHlzHpzIqzJqzKqzLqzMrzMrzNrzOrzPszQsXQsVRsSStPT\ tNUtKctImmKzmMzmOzmQzmSzmUzmWzmYzmZzmZzmZzmZzmZzmZ\ zmZxmZymZtmWomTjzRezOczMczJczHczEmzCmzJmzQmzXmzcfz\ jmzgmzemzbmz`mzYozWqzUszRuzPwzMzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzz } 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 03-12-13 (The Absolute Limit [A-5,M-7])
by Jim Muth 03 Dec '13

03 Dec '13

FOTD -- December 03, 2013 (Rating A-5,M-7) Fractal visionaries and enthusiasts: How low can you go? No, we're not talking about the long-gone fad of limbo dancing, the lowness lies in today's exponent, which is the 128th root of 2 or 1.0054298, a value so close to unity that its graph is barely distinguishable from a straight line. But thanks to the MandelbrotBC3 formula, and also the multi-valued nature of the complex log function, we have dredged up something from almost nothing. True, today's image consists of nothing more than arcs filled with smaller arcs all the way down, but the screen is not filled with a flat pattern and a smooth-edged boundary. The art rating of a 5 is everyday average. The math aspect has more interest, and rates a 7, which is somewhat above average. The name "The Absolute Limit" refers to my present feelings about the low-exponent theme. It does not mean I will never try to find detail in a fractal with an exponent of 1.0027112, but it does mean that if I ever do go searching, it will not be for a while. With a running time of 4-1/4 minutes, the calculation is a bit on the slow side, so if time is a factor, check the web sites. To avoid calculation the image check the FOTD web sites at: <http://www.crosscanpuzzles.com/Archives.html> <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> <http://www.Nahee.com/FOTD/> <http://user.xmission.com/~legalize/fractals/fotd/about.html> A mix of sun and clouds with a temperature of 46F +8C and a calm wind made today rather pleasant here at Fractal Central. The fractal cats spent their waking hours getting to know each other better and their sleeping hours asleep. The fractal humans, if that's what we are, spent the day doing routine things. The next FOTD will be posted in the near future. Until the near future arrives, take care, and have you heard the conspiracy theory about the existence of conspiracy theories? Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= The_Absolute_Limit { ; time=0:04:15.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=MandelbrotBC3 function=ident passes=1 center-mag=-14.7101/1.17509/8.709171/1/19.25/0 params=1.0054298/0/0/2400 float=y maxiter=2000 inside=255 logmap=405 periodicity=8 colors=000D880000000000000000000000000000000050080\ 0800900900A00A00C00C00D00D00E00E00F00F00G00G00H00H\ 00I00I00I00I00I00J00J00J00J00L00L00L00L00M00M00M00\ M00O00O00O00O00P00P00P00P00R00R00R00R00Q00O00R00R0\ 0U00U01W02X04Z05_06a08c09d0Af0Ch0Di0Er0Eq0Gu1Hv4Jz\ 5Kz8Kz9MzCOzDPzGRzHRzKUzMXyO_tPaoRaiSadUa_WaWZaR_a\ MaaHcaDda9fa5ha1iZ0kW9mPMmESo5Zr0Sp0Mf0EX18O44G658\ 850A50D50E50J60M81P95UAAXCG_DMcERhGXkHcoJiwJhrKfmM\ dhOccPa_R_WSZRUXMWXJW_DUa9Sc4Rf0Ph0Oi0Of0Jc4Ea9AZG\ 8WO4UU0Ra0Ph0Ma2JWCGRKEKWGMdIMpKMzMMzOMzQMzSMwUMvW\ MtYMr_MpaMmcMkeMigMhiMfkNcmOaoQ_qSZsUXtWWuYZv_awad\ xchyekzgozirzkvzmyzozzqzzszzuzAaz0azXaz0azfazzazka\ zzaz0azzaz0azzaz0azhrzcrzZrzUrwRrrMrmHriardarZaraa\ rdarharkryorzwrzrrzmrzirzfrzarzZrzWrzPrzSrzUrzXvzZ\ yzazzczzfzzhzzizzZzzPzzMzzazzizzrzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzz } 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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Two Details
by Brian Prentice 03 Dec '13

03 Dec '13

Two details from recent FOTD's: http://bprentice.webenet.net/Fractal%20Images/Set%2018/BP_18_64.png http://bprentice.webenet.net/Fractal%20Images/Set%2018/BP_18_65.png Brian Prentice

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FOTD 02-12-13 (Thirty-Second_Root [A-7,M-8])
by Jim Muth 02 Dec '13

02 Dec '13

FOTD -- December 02, 2013 (Rating A-7,M-8) Fractal visionaries and enthusiasts: Today's image is a scene in the parent fractal that results when Z to the power of 1.021897 is iterated at ground level of the hyperladder with no function applied. Not coincidentally, this value is the square root of the exponent of yesterday's image, and also the 32nd root of 2. The parent fractal of today's image closely resembles the parent of yesterday's image, though with less chaos along the edges of the large bay, which is shaped much like an elephant seal with a large pendulous nose. Today's image is located in the chaos near the straight southern shore line of the large bay. The amount of semi-organized detail in the scene is unexpected in a fractal created by an exponent of 1.02..., but images do not lie, and the stuff in today's image did not come from nowhere. (Or did it?) The name "Thirty-Second Root" refers to the exponent of Z. The art rating of a 7 indicates that the image is worthwhile, though perhaps not as striking as some past fractal scenes. The math rating of an 8 shows that the amount of detail in the image is quite unexpected. The calculation time of 1-3/4 minutes will pass quickly enough. For convenience, the image has already been calculated and posted to the official FOTD web site at: <http://www.crosscanpuzzles.com/Archives.html> Variations are available at: <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> <http://www.Nahee.com/FOTD/> <http://user.xmission.com/~legalize/fractals/fotd/about.html> A cloudy sky and temperature of 41F +5C made today entirely un-notable here at Fractal Central. The fractal cats, who are not quite ready to share the window shelf, took turns watching the outside scene. The fractal humans, who wonder what the world is coming to, kept their wonder alive by watching the TV news at lunch time. The next FOTD will be posted soon. Until whenever that might be, take care, and when people dislike a big corporation, they usually fight it by organizing a boycott against the corporation's products. The big oil corporations certainly are disliked, even hated, so where are the cries for a boycott of products derived from petroleum Jim (they got us hooked) Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Thirty-Second_Root { ; time=0:01:45.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=MandelbrotBC3 function=ident passes=1 center-mag=-7.97709/-0.623008/9.910814/1/33/0 params=1.021897/0/0/1500 float=y maxiter=3500 inside=255 logmap=106 periodicity=8 colors=000A0HA0JA0LA0NA0PA0RA0TA0RA0PA0NA0LA0JA0HA\ 0FA0DA0CA0D00C00C00I00I00I00I00J00J00J00J00L00L00L\ 00L00M00M00M00M00O00O00O00O00P00P00P00P00R00R00R00\ R00M00O00P00R00S00U01W02X04Z05_06a08c09d0Af0Ch0Di0\ Er0Et0Gu1Hw4Jz5Kz8Kz9MzCOzDPzGRzHRzKUzMXyO_tPaoRai\ SadUa_WaWZaR_aMaaHcaDda9fa5ha1iZ0kW9mPMmESo5Zr0Sp0\ Mf0EX18O44G658850A50D50E50J60M81P95UAAXCG_DMcERhGX\ kHcoJiwJhrKfmMdhOccPa_R_WSZRUXMWXJW_DUa9Sc4Rf0Ph0O\ i0Of0Jc4Ea9AZG8WO4UU0Ra0Ph0Ma2JWCGRKDKWrMdrMprMzrM\ zrMzrMzrMwrMvrMtrMrrMprMmrMkrMirMhrMfzaczaaza_zaZz\ aXzaWzaZzaazadzahzakzaozarzavzayzazzazzazzazzazzaz\ zazzazzazzazzazzazzazzazzazzazzazhrzcrzZrzUrwRrrMr\ mHriardarZaraardarharkryorzwrzrrzmrzirzfrzarzZrzWr\ zPrzSrzUrzXvzZyzazzczzfzzhzzizzZzzPzzMzzazzizzrzzz\ zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzaaa } 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 01-12-13 (Alien Sea Creature [A-6,M-6])
by Jim Muth 01 Dec '13

01 Dec '13

FOTD -- December 01, 2013 (Rating A-6,M-6) Fractal visionaries and enthusiasts: There is little to be said about today's image, which is simply the parent fractal that results when the expression Z^(1.044274)+C or Z^(sqrt(sqrt(sqrt(sqrt(2)))))+C is iterated at ground level of the complex hyperladder with no function applied. The image reminded me of a scene in the sea of a hypothetical water world, where a sea creature is swimming toward the surface. The name "Alien Sea Creature" soon followed. The amount of smaller detail in the fractal is striking, especially in the area of the little 'flipper' just below the sea creature's head. This area is most likely to hold minibrots, though due to the slowness, I have not yet checked there. The art and math aspects of the image both rate a 6, which is at least a little above average. The calculation time is a rather slow 3-1/4 minutes, most of which can be saved by checking the FOTD web sites. Save a few minutes by checking the finished image at: <http://www.crosscanpuzzles.com/Archives.html> with curious and interesting variations at: <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> <http://www.Nahee.com/FOTD/> <http://user.xmission.com/~legalize/fractals/fotd/about.html> Heavy clouds and chilly temperatures made today an unpleasant one here at Fractal Central. The fractal cats, who are learning fast how to co-exist in peace, had a day of playing and resting, while the fractal humans did the things humans do on days unfit for outside activity. The next FOTD, most likely another venture into the world of ultra-low exponents, will be posted in the near future. Until we see how near, take care, and keep those drugs and those new electronic gadgets coming. They keep us distracted from the pathetic condition of present-day humanity, and the even worse future that awaits both us and our children. (And I wonder when, if ever, high technology will ride to the rescue.) Jim (negative but blunt) Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Alien_Sea_Creature { ; time=0:03:15.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=MandelbrotBC3 function=ident inside=0 center-mag=-10.4062/0.743786/0.1168224/1/40/0 params=1.044274/0/0/525 float=y maxiter=22000 logmap=2 periodicity=10 colors=00000F00G00H00I00J00J00K00K00K00L00L00L00M0\ 0M00M00N00N00N00N00O00O00O00O00P00P00P00P01Q01Q02Q\ 02Q03R03R04R04R05S05S06S06S07T07T08T08T09U09U0AU0A\ U0BU0BV0CW0CX0DY0EZ0F_0G`1Ha2Ib3Jc4Kd5Le6Mf8Ng9OhB\ PjCPkEQlFRmHSoITpKTqLUrNVtOWuQXvRXwTZtU`qVbnWckXch\ YceZcb_c_acXbcUccRdcOecLfcIgcFhcCicLjWUjPwkIarAGlC\ HfEH`FHVHHQJIKKIEMI8OI3PI7SJBUKFWLIZMM`NQbOUdPXgQ`\ iRdkShpSgmTfjUegVddWcbXb_YaXZ`U_`S_bOZcLYdHXfEWgAV\ h7VfCSdHPcLMaQK_VHZZEXcBWg9UcGS_NQXTOT_mUemUlmUrmU\ rmUrmUrmUpmUomUnmUmmUlmUjmUimUhmUgmUfzcdzcczcbzcaz\ c`zc_zcazcczcezcgzcizckzcmzcozcqzcszcszctzctzctzct\ zctzctzctzctzcuzcuzcuzcuzcuzcuzcugmxdmuamrZmpXmmUm\ jRmhcmecmacmccmecmgcmimqkmspmummwjmyhmzfmzcmzamz_m\ zWmzYmzZmz`mzamzcmzdmzfmzgmzhzzazzWzzQzzJzzDzz7zzA\ zzCzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzz } 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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