January 2013 - Fractint - mailman.xmission.com

FOTD 10-01-13 (Something New [7])
by Jim Muth 10 Jan '13

10 Jan '13

FOTD -- January 10, 2013 (Rating 7) Fractal visionaries and enthusiasts: Today's image lies in the fractal that results when the formula Z^(1.5)+C is iterated 379.2424085207679 levels up the complex hyperladder with no function applied. The odd number of levels indicates that the value was set at random by Fractint's evolver feature. A very similar image could have been found with a far simpler value, though I lacked time to search for it. Actually, the complex logarithm has an infinity of values, but this does not mean that an infinite variety of fractals is possible. The fractals change in a circular manner as the value of 'k' in the complex log formula is changed, and soon begin repeating. I named today's image "Something New". I have never before seen features quite like the dark blue ones in today's image. The filaments extending from them resemble those extending from everyday Mandelbrot buds. And the filaments in the image have identical mini dark blue mini-features lying along them. The rating of a 7 is average. The artistic value is not that great, nor is the mathematical interest. Extra coloring effort might have raised the rating a half point or so however. The calculation takes 2-1/2 minutes to finish. Significant time may be saved by viewing the finished image on one of the web sites. The finished image is posted online at: <http://www.crosscanpuzzles.com/Archives.html> High definition variations are or soon will be online at: <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> Back images may be found at: <http://www.Nahee.com/FOTD/> Near total sun with a temperature of 45F +7C made today unusually pleasant for the time of year. The fractal cat enjoyed the sun; the humans enjoyed getting the work finished. The next FOTD will be posted in a day or two. Until whenever, take care, and the surest sign of a dysfunctional group is when its members begin fighting among themselves instead of working together to solve their common problems. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Something_New { ; time=0:02:30.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=MandelbrotBC3 function=ident inside=0 center-mag=+1.52637522907494/+0.5716577695720915/\ 1.263153e+009/1/-90/0 params=1.85/0/379.2424085207\ 679/0 float=y maxiter=3600 logmap=381 periodicity=6 colors=000E7SF8TG9UHAVIBWJCXKDYLEZMF_NG`OHaPIbQJcR\ KdSMeVOeZQeaSfeVfiXflZgp`gvYbt`esbgrejpglojopkrolq\ nlqmlqllqklqklqjlqilqhmqgmqgmqfmqemqdmqcmqclwcmqcm\ kcnecn`cnVcoPcoJfrGdpFcoEanD`mCZlBYjAWi9Vh8Tg7Vf4S\ f6Re5Rd5Rc5Rb5Qa5Q`5Q`5Q_5QZ5PY5PX5PW5PV5Ya2PV5GO8\ WBG7HABJBFKCJLCNMDQNDUOEYPEaQFdRFhSGlTGpUHxJLuPJsV\ Hq`GofErlDvrBzz8vwAruBnsCkqEloFmlGnjHnhJofKpdLpbMo\ _IkZHhYGeXFbWF_VEXUDUTDRSCORBLQBIPAFO9CN9AQ89T78V6\ 7Y56_45b34d23g12i06h6AgCDgIHfOKeTOeZRddVcjYcoV`kTY\ gRVcPT`NQXLNTJLQGIMEFICCEAAB877643420GWBES9CP8BM79\ J68G56C4493362131iBHeAFb9U_8UW7UT7UQ6UN5UJ4UG3UD3U\ 92K61K30KKTKSEKFNKCJKAFc7Bc57c23cGMm8BmJYmHVzGTzFR\ zEPzDNzBLzAJz9Hz8Ez7Cz5Az48z36z24z12zIYzGUzEQzCMzA\ Iz8Fz6Bz47z23zKKzq`zlXzfTzaQzWMzRIzLEzGBzA7z53z1zz\ 0qz0hz0_z0Rz0Iz09zGazEZzDWzCTzBQz9Nz8Kz7Hz6Ez4Bz38\ z25z12zVrzRlzOgzLazIXzFRz } 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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Re: [Fractint] AOTD Jan 2 & 8 2013
by Hal Lane 10 Jan '13

10 Jan '13

JoTz, Thanks for the great videos! http://www.fractal-animation.net/vid/valentynez.zip http://www.fractal-animation.net/vid/2013.zip Single-stepping thru the rapidly changing areas of the videos let me see all of the great fractals that went by too fast at the default frame rate. In the Windows Media Player V11 you can do this: View > Enhancements > Play Speed Settings Below the Play Speed Settings horizontal slider are two unidentified buttons. If you pause the video, then these two buttons advance and reverse the video one frame at a time, so you can see the many wonderful fractals that are whizzing by -- now frozen for your visual pleasure. The reverse function is buggy -- I've had to kill the Windows Media Player manually using the Task Manager when it appeared to hang when I asked for several reverse steps of a video in a row. (There may have been a patch released that I haven't applied yet.) To go back and see something in the video that has just passed by, I've learned to drag the blue button of the video "progress bar" to the left a bit, and then use the single step Advance button, thus avoiding using the Reverse button... The blue part of the horizontal Speed slider shows the range of speeds where sound is able to be provided. Note that the range of playback speeds between "0" and "0.5" is only the distance between those two labels on the Speed slider... You have a keen nose for parameter sensitivity! - Hal Lane ######################## # hallane(a)earthlink.net ######################## ================================================== > Author: JackOfTradeZ > Date: 2013-01-02 23:47 -500 > To: fractint > Subject: [Fractint] AOTD 1/2/13 > > This really is a "surprise" fractal; it finished way > ahead of what I had calculated. The same interesting > effect is observed with all Julia type fractals > (simple to complex) when animating in one dimension > (linear, along a line in the plane, ie., by varying > one parameter). There are alternating periods of > "slow" activity and motion with fast "explosive" > displays. > > One might think you could isolate the "fast" > segments, then "expand" them by re-rendering the > frames with a smaller increment, but if you do that, > the same alternating slow-fast pattern re-emerges. > I have noticed this over 10 years of Julia > animations. Kinda like a "Cantor Set Line" - as you > magnify it the same pattern keeps occuring. > > In this case it is cool - a small fractal image > slowly morphs and expands with increasing speed and > intensity, and the cycle repeats several times over > the viddie. > > In the original FOTD for 1/1/13 the REAL parameter > (P3) is set to -1.64788477144322. > For the animation it is varied from -1.647853 to > -1.647913 in steps of -0.00000001 to give 6000 > frames. > > It is 6 minutes 11 seconds long, 61 MEG download. > Complete with 12th century soundtrack. > > http://www.fractal-animation.net/vid/2013.zip > > Enjoy! > JoTz ================================================== > Author: JackOfTradeZ > Date: 2013-01-08 22:16 -500 > To: fractint > Subject: [Fractint] AOTD Jan 8 2013 > . > > > Fractal > Animation visionaries > and enthusiasts: > > Today's animation is derived from the FOTD for Jan 4 2013, > "Into The Boondocks", where the REAL portion of the P5 > parameter is varied from -4.01000055420134 to > -4.00999901475165 in steps of 0.0000000005 for 3K+ > frames. > > Perhaps the last one may have been a bit boring, but not > this one. No slow parts, all psychedelic, all cruisin' > all the way! > > The name -- "Valentynez" -- will be evident while viewing. > My rating of 9 for this one makes it one of the best of > the "kaleidoscope" animations. The calculation time of > one day leaves every excuse for those who lack the time > to do the calculation, especially when the finished > viddie is available on my web site: > > http://www.fractal-animation.net/vid/valentynez.zip > > 34 MEG download for 3 min 26 sec viewing pleasure. > > > Clear skies with temperatures in the 40's made today > here at Fractal Animation Central totally typical for > the start of January (in Colorado). > > The fractal coyotes have been silent recently, but > horses and cattle can be heard in the distance at nite > or in the wee hours of morning, adding to the pleasant > environment of the American West, although Colorado is > becoming more infested with liberals every day; I fear > it will soon be New Jersey with a better climate and a > mountain view before too long. > > > The next animation (zoom "Into the Aether") will be > posted when it is finished, in a week or two. Until > then, take care, and I never cease to be amazed at > the emotionally-based but ineffective solutions to > major problems that INsincere people keep inventing. > For example, to make the streets safer, why would any > sensible person be against every free citizen carrying > the firearm of their choice, open or concealed? A wise > philosopher once noted that "an armed society is a > free and polite society", and how right he was! > > Cheers > JoTz ----

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AOTD Jan 8 2013
by JackOfTradeZ＠comcast.net 09 Jan '13

09 Jan '13

. Fractal Animation visionaries and enthusiasts: Today's animation is derived from the FOTD for Jan 4 2013, "Into The Boondocks", where the REAL portion of the P5 parameter is varied from -4.01000055420134 to -4.00999901475165 in steps of 0.0000000005 for 3K+ frames. Perhaps the last one may have been a bit boring, but not this one. No slow parts, all psychedelic, all cruisin' all the way! The name -- "Valentynez" -- will be evident while viewing. My rating of 9 for this one makes it one of the best of the "kaleidoscope" animations. The calculation time of one day leaves every excuse for those who lack the time to do the calculation, especially when the finished viddie is available on my web site: http://www.fractal-animation.net/vid/valentynez.zip 34 MEG download for 3 min 26 sec viewing pleasure. Clear skies with temperatures in the 40's made today here at Fractal Animation Central totally typical for the start of January (in Colorado). The fractal coyotes have been silent recently, but horses and cattle can be heard in the distance at nite or in the wee hours of morning, adding to the pleasant environment of the American West, although Colorado is becoming more infested with liberals every day; I fear it will soon be New Jersey with a better climate and a mountain view before too long. The next animation (zoom "Into the Aether") will be posted when it is finished, in a week or two. Until then, take care, and I never cease to be amazed at the emotionally-based but ineffective solutions to major problems that INsincere people keep inventing. For example, to make the streets safer, why would any sensible person be against every free citizen carrying the firearm of their choice, open or concealed? A wise philosopher once noted that "an armed society is a free and polite society", and how right he was! Cheers JoTz .

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FOTD 08-01-13 (Candy-Drop Tree [7.5])
by Jim Muth 08 Jan '13

08 Jan '13

FOTD -- January 08, 2013 (Rating 7.5) Fractal visionaries and enthusiasts: Those fractal trees must be everywhere. As I was investigating the Julia sets of the (-Z)^(-1.5)+C Mandeloid, I stumbled upon today's fractal tree. I named the image "Candy-Drop Tree" because the tree appears to me made of candy drops. I am certain that fractal trees much more impressive than today's lie in the vicinity, but I had no time to do the necessary checking. The rating of 7-1/2 indicates an average scene on which I put a modicum of coloring effort. The calculation time of 6 minutes borders slowness, but once again the web sites charge to the rescue. To totally avoid calculation problems, check the finished image at: <http://www.crosscanpuzzles.com/Archives.html> and check the hi-def variations at: <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> Thousands of back images are online at: <http://www.Nahee.com/FOTD/> Morning clouds gave way to afternoon sunshine here at Fractal Central today. The temperature of 41F +5C and light winds made the day quite harmless for the season. The fractal cat also had a harmless day, which was enjoyable for him, but makes a rather boring report. The humans got through the day with no major problems arising. The next FOTD will be posted when conditions are right. Until whenever, take care, and according to the news reports, doom is all around us. So be ready to stamp it out as soon as it rears its ugly head. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Candy-Drop_Tree { ; time=0:06:00.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=SliceJulibrot5 passes=t center-mag=0.3\ 99377/0/6.9855/1/90/0 params=90/0/90/0/-1.92748937\ /0/0/0/-1.5/300 float=y maxiter=1900 inside=0 logmap=-100 periodicity=6 colors=000VPUSNQPMMMPNJSOGUPDXQA_R8aRMGONGONGOOGPO\ GPOGPPGQPGQQGQQFRRFRRFRSFSSFSSFSTFTTFThvvkyvcrpWkk\ PdfHY`9RW2KR2sC6qDApEDoFHmGKlHOkISiJVhJZgKaeLedMic\ NlaOp`Ps_PraQqcQpdQofQngQmiQljQklQjnRioRhqRgrRftRe\ uRdwRcxRXtMRqHLmDFj89g4JkJTnYbqlfnmilmljmphmsfmvdm\ q_nlWogSpbOqcTkdYeeb_ffUgkOhpIhtCViHIZM5PR8SQAVPCY\ OF`NHcMJfMMiLOlKQoJTrIVuHXwHVtLUqOTnRSkURhXQe_PcbT\ bdXbf`bhdbjhbllbnobokdnhfnehmbjm_llXnlUpl_qjdqiirh\ nrgsrfKMGfcqddpbep_foYgoWhoXimXjlYjkYkjYkiZlgZlfZm\ e_nd_nc`oa`o``p_apZaqYaqXcrZdr_es`gsahtbitdjuelufm\ vgnvhowjqwkrxlsxmtxnqwlnwjlwiiwggwfdwdawb_waXw_VwZ\ Zrbbmfeijidnl`rpWvsSyrUqqWiqXapZUp_NnYPlWRkUSiSUgQ\ WfOXdMZbK`aIabHibGpaJnaLm`Nk`Pj_Rh_TgZVfZXdYZcY`aX\ b`Xd_fhgolnERyHPwKNvNLuQKtSIsUFrSKqQUpOboMhnKcmInl\ GrlEolCilBhmAgmAem9dm8cn7an6`n5_n5Zn6Uj7Pf7Lc8Ka9K\ `AK_BJZCJYCJXDIWEIVaSaZQY } frm:SliceJulibrot5 {; draws all slices of Julibrot pix=pixel, u=real(pix), v=imag(pix), a=pi*real(p1*0.0055555555555556), b=pi*imag(p1*0.0055555555555556), g=pi*real(p2*0.0055555555555556), d=pi*imag(p2*0.0055555555555556), ca=cos(a), cb=cos(b), sb=sin(b), cg=cos(g), sg=sin(g), cd=cos(d), sd=sin(d), p=u*cg*cd-v*(ca*sb*sg*cd+ca*cb*sd), q=u*cg*sd+v*(ca*cb*cd-ca*sb*sg*sd), r=u*sg+v*ca*sb*cg, s=v*sin(a), esc=imag(p5)+9 c=p+flip(q)+p3, z=r+flip(s)+p4: z=(-z)^(real(p5))+c |z|< esc } END PARAMETER FILE=========================================

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FOTD 06-01-13 (Stuck Baghorn [7])
by Jim Muth 06 Jan '13

06 Jan '13

FOTD -- January 06, 2013 (Rating 7) Fractal visionaries and enthusiasts: Today's image is named "Stuck Baghorn". The name has only a little to do with the actual image, which appears as a pentagon with rudimentary staghorns (velvet antlers) jutting from its edges. But these baby antlers reminded me of an old Canadian funny-animals show starring a character named 'Buck Staghorn', who was always stuck in his camper out in some wilderness, observing the antics of the local wild animals and sending messages back to Beatrice at Staghorn Central. And yes, Staghorn Central was the inspiration for Fractal Central, which is equally as real. And as for today's image, it is only half real also, as are all fractals. For a (minor) change, I have switched from the expression Z^(-4.01) to (-Z)^(-5.01). Iterating negative Z instead of positive Z rotates the fractal so that one of the sharp points of the Mandeloid falls on the real positive X-axis rather than in complex territory, where, with two coordinates to adjust, searching for Julia sets is far more troublesome. The SliceJulibrot5 formula might be a new one for the list. I'm not sure. The image itself rates a 7, at least IMO. A bit more detail might have raised the rating to an 8, and I'm certain that better Julia images do exist in this area, but laziness has once again won out, and I made no effort to improve on the scene. (Tomorrow is another day however.) The calculation time of a mere 10 seconds is no typo. The image really does finish almost before it starts. And in addition, the web sites are available to remove even the chore of running the parameter file. The finished image is posted online at: <http://www.crosscanpuzzles.com/Archives.html> with augmented variations at: <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> Thousands of back images may be accessed at: <http://www.Nahee.com/FOTD/> Clouds were plentiful here at Fractal Central today, but the lack of wind and temperature of 41F +5C kept things relatively pleasant for January. With the temperature so far above freezing, the forecast of light snow this evening will probably prove to be a bust however. The fractal cat passed most of the day stretched by the heat, except when he used up excess energy playing with his cat cubes. The humans, (at least we were human the last time we checked), passed the day doing as little as possible. The next FOTD will be posted before long. Until then, take care, and what are fractals but a temporary break from pondering the deeper problems of life? Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Stuck_Baghorn { ; time=0:00:10.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=SliceJulibrot5 center-mag=0.0670723/\ 0.206427/0.2693157/1/18/0 params=90/0/90/0/\ 1.528410596/0/0/0/-5.01/3550 float=y maxiter=1500 inside=0 periodicity=0 periodicity=0 colors=000FKYzA8GC8GE8GG8Ec8CG8Ac88z88hzmGC8Gz8GG8\ EG8CG8AGBBGCBGDBGFBGGBGGBFGBDGBCGBBGCBGDBGFBGGBFGB\ 000CABBzBBzzBGDBcFBGGBFGBczcccUKUF00zz000000000000\ 000000e0e00eeUAKe0eeL0eeeLLLLLzLzLLzzzLLzLz000zzz0\ 00555888BcBEEEHHHKKKOOOhccWWW___ccchhhmmmssszzz00z\ G0zV0zj0zz0zz0jz0Vz0Gz00zG0zV0zj0zz0HFHVz0Gz00z00z\ G0zV0zj0zz0jz0VzmrzVVzbVzjVzrVzzVzzVrzVjzVbzVVzbVz\ jVzrVzzVrzVjzVbzVVzVVzbVzjVzrKKKVrzVjzVbzhhzlhzqhz\ uhzzhzzhuzzzzhlzhhzlhzqhzuhzzhuzhqzhlzhhzhhzlhzqhz\ uhzzhuzhqzhlz00S70SE0SL0SS0SS0LS0ES07S00S70SE0SL0S\ S0LS0ES07S00S00S70SE0SL0SS0LS0ES07SEESHESLESOESSES\ SEOSELSEHSEESHESLESOESSEOSELSEHSEESEESHESLESOESSEO\ SELSEHSKKSMKSOKSQKSSKSSKQSKOSKMSKKSMKSOKSQKSSKQSKO\ SKMSKKSKKSMKSOKSQKSSKQSKOSKMS00G40G80GC0GG0GG0CG08\ G04G00G40G80GC0GG0CG08G04G00G00G40G80GC0GG0CG08G04\ G88GA8GC8GE8GG8GG8EG8CG8A } frm:SliceJulibrot5 {; draws all slices of Julibrot pix=pixel, u=real(pix), v=imag(pix), a=pi*real(p1*0.0055555555555556), b=pi*imag(p1*0.0055555555555556), g=pi*real(p2*0.0055555555555556), d=pi*imag(p2*0.0055555555555556), ca=cos(a), cb=cos(b), sb=sin(b), cg=cos(g), sg=sin(g), cd=cos(d), sd=sin(d), p=u*cg*cd-v*(ca*sb*sg*cd+ca*cb*sd), q=u*cg*sd+v*(ca*cb*cd-ca*sb*sg*sd), r=u*sg+v*ca*sb*cg, s=v*sin(a), esc=imag(p5)+9 c=p+flip(q)+p3, z=r+flip(s)+p4: z=(-z)^(real(p5))+c |z|< esc } END PARAMETER FILE=========================================

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FOTD 05-01-13 (The Great Mystery [7])
by Jim Muth 06 Jan '13

06 Jan '13

FOTD -- January 05, 2013 (Rating 7) Fractal visionaries and enthusiasts: Today's image rates only a 7. Being simply another venture into the Z^(-4.01)+C Julia sets, it deserves no more. But it is still a rather striking image, demonstrating the large variety of Julia sets in this area. The name "The Great Mystery" refers not to the image, but to some other vague mystery only half perceived. Perhaps, it's the old warhorse mystery about the meaning of life, which our over-revered science has so far been helpless to answer. (It punts the question to religion, while implying that the beliefs of religion are only comforting illusions.) The calculation time of one minute will pass in a flash, but when the image appears, it will neither answer the great mystery nor supply a comforting illusion, but it is guaranteed to be at least semi-real. The pre-calculated image is really online at: <http://www.crosscanpuzzles.com/Archives.html> with the high-definition versions at: <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> Lots of back images are posted at: <http://www.Nahee.com/FOTD/> The string of typical early January days continued here at Fractal Central today, with variable amounts of clouds, breezy west winds, and a temperature of 37F +3C. The fractal cat also had a typical day, taking advantage of the sun when it was out and taking to the heat when the sun disappeared. The humans mostly took it easy. The next FOTD will eagerly be posted when the time arrives. Until then, take care, and we should not propose knee-jerk solutions to our problems. We should instead find effective and workable solutions that everyone will accept. This is why the 99-percent movement went nowhere and the current push for more gun control is futile. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= The_Great_Mystery { ; time=0:01:00.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=SliceJulibrot4 center-mag=0/0/0.033113\ /1/45/0 params=90/0/90/0/-1.647906886818445/0/0/0/\ -4.01/0 float=y maxiter=3200 inside=0 periodicity=0 colors=000zzzzz0570450340220110QIWNGTLEQIDNGBKE9HB\ 8E96B748435212_N8UJ6OF5IB4C72631ZG6TD5NA4H83B52521\ NHpIDeDAV96L43ASF2W7tT6oRczP5gM5cK4_I4WG3SD3OB2K9K\ m61q418204CdrA`m9Xh8Tc7QZ6MU5IP4EK3BF27A135X8BS79O\ 68K56G45C34822411KpkHieFb_CXUAQO7JI5DC266alRXeNS_K\ NUGJODEIA9C6463DaKAUG7MC5F8274aRFXODTLBPIALF8GC6C9\ 5zz0h00zczi4b`3VS2NI1F907Pj8Nf7Lb6J_6HW5FS4DP4BL39\ I37E25A1371130gSlcPg_McWKZSHVOFQKCMGAHC7D858424AUm\ 8Qg7Na6KX5GR4DM3AG26B135K35I24H24G24E23D23C13A1291\ 2812HA1D0140120G100zcIzIGrHFnEDg7CZ6AS59N47I36E249\ 13401kRc_KUODKC6AwGcqE_lDWfBTaAPW8LR7IL5EG4AA27513\ XeCT`APW9MS8SsCWsCasBisBosAvzAzzAzhRzXftRvsYczfVqI\ cqRXqMRqOLqQEqS8qT2oV8nXEmZJl`PjbVid_hfeghkfjpcdn`\ _mYUkVPjSJhPEgM8eK3dG2Y9D4D2RA1K61D306Iu7Ei5AY47N2\ 3B1pDXlCUiBSfAQb9O_8MX8KT7IQ6GN5EJ4CG4AD3892661430\ 2GL1EJ0zV0Cb0BF0AE09C08B0 } frm:SliceJulibrot4 {; draws all slices of Julibrot pix=pixel, u=real(pix), v=imag(pix), a=pi*real(p1*0.0055555555555556), b=pi*imag(p1*0.0055555555555556), g=pi*real(p2*0.0055555555555556), d=pi*imag(p2*0.0055555555555556), ca=cos(a), cb=cos(b), sb=sin(b), cg=cos(g), sg=sin(g), cd=cos(d), sd=sin(d), p=u*cg*cd-v*(ca*sb*sg*cd+ca*cb*sd), q=u*cg*sd+v*(ca*cb*cd-ca*sb*sg*sd), r=u*sg+v*ca*sb*cg, s=v*sin(a), esc=imag(p5)+9 c=p+flip(q)+p3, z=r+flip(s)+p4: z=z^(real(p5))+c |z|< esc } END PARAMETER FILE=========================================

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Albrecht has had computer probs which...
by Hal Lane 06 Jan '13

06 Jan '13

Albrecht has had computer probs which caused the lost of many files but he says he will be back on the forum at a later time. - Hal Lane ######################## # hallane(a)earthlink.net ########################

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FOTD 04-01-13 (The Sound barrier [7.5])
by Jim Muth 05 Jan '13

05 Jan '13

FOTD -- January 04, 2013 (Rating 7.5) Fractal visionaries and enthusiasts: Today's image is a variation of the 'New Year Surprise' image of January 1. As JackOTZ has already discovered, the parameter values of that image are very critical. (A tiny change makes a huge difference.) To show how critical, I have changed the exponent of Z from (-4.01) to (-4.0100001) and decreased the escape radius from 9 to 2.8. (I have also reduced the magnitude a bit and tweaked a few color registers, but these changes are insignificant.) The tiny change in the exponent makes a huge change in the image, while the tighter bailout radius changes the central rounded square to a kind of rounded letter-X, while narrowing the width of the surrounding bands of chaos. (Increasing the bailout causes the width of the bands to grow, until they finally fill the entire frame with chaos.) As is often the case, the name -- "Into the Boondocks" -- has little relation to the image. The rating of 7-1/2 might be a bit conservative, but I cannot give a super rating to a string of very similar images. The calculation time of 30 seconds leaves no excuse for those who claim to lack the time to do the calculation, especially when the finished image is available on the web sites. For instant viewing, check the finished image at: <http://www.crosscanpuzzles.com/Archives.html> And check the high-definition versions at: <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> The back images are posted at: <http://www.Nahee.com/FOTD/> Partly cloudy skies with a temperature of 36F +2C, a breeze from the west, and a 5-inch 12cm pack of snow covering the ground made today here at Fractal Central totally typical for the start of January. The fractal cat passed the afternoon on the shelf in the southwest window, wishing the sun would stop turning off and on so often. The humans passed the day finishing the work. The next variation on the theme will be posted when the neat come home, and around here they come home every day at sunset. Until then, take care, and I never cease to be amazed at the emotionally-based but ineffective solutions to major problems that sincere people keep inventing. For example, to make the streets safer, why would any sensible person be against publish- ing a list of those who have committed crimes with illegally obtained guns, yet be in favor of publishing a list of law- abiding citizens who legally own guns? Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Into_the_Boondocks { ; time=0:00:30.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=SliceJulibrot4 passes=1 center-mag=0/0/\ 0.08621576 params=90/0/90/0/-1.64788477144322/0/0/0\ /-4.0100001/-6.2 float=y maxiter=3200 inside=0 symmetry=xaxis periodicity=0 colors=000000zz0570450340220110QIWNGTLEQIDNGBKE9HB\ 8E96B748435212_N8UJ6OF5IB4C72631ZG6TD5NA4H83B52521\ NHpIDeDAV96L43ASF2W7tT6oRczP5gM5cK4_I4WG3SD3OB2K92\ G61C418204CdrA`m9Xh8Tc7QZ6MU5IP4EK3BF27A135X8BS79O\ 68K56G45C34822411KpkHieFb_CXUAQO7JI5DC266alRXeNS_K\ NUGJODEIA9C6463DaKAUG7MC5F8274aRFXODTLBPIALF8GC6C9\ 5m00zzzzUzi4b`3VS2NI1F907Pj8Nf7Lb6J_6HW5FS4DP4BL39\ I37E25A1371130gSlcPg_McWKZSHVOFQKCMGAHC7D858424AUm\ 8Qg7Na6KX5GR4DM3AG26B135K35I24H24G24E23D23C13A1291\ 2812611501401200100sBInAGi9Fe8D`7CW6AS59N47I36E249\ 13401kRc_KUODKC6AwGcqE_lDWfBTaAPW8LR7IL5EG4AA27513\ XeCT`APW9MS8SsCWsCasBisBosAvzAzzAzdRzQftCvsLczOVqI\ cqRXqMRqOLqQEqS8qT2oV8nXEmZJl`PjbVid_hfeghkfjpcdn`\ _mYUkVPjSJhPEgM8eK3dG2Y9D4D2RA1K61D306Iu7Ei5AY47N2\ 3B1pDXlCUiBSfAQb9O_8MX8KT7IQ6GN5EJ4CG4AD3892661430\ 2GL1EJ0DI0CG0BF0AE09C08B0 } frm:SliceJulibrot4 {; draws all slices of Julibrot pix=pixel, u=real(pix), v=imag(pix), a=pi*real(p1*0.0055555555555556), b=pi*imag(p1*0.0055555555555556), g=pi*real(p2*0.0055555555555556), d=pi*imag(p2*0.0055555555555556), ca=cos(a), cb=cos(b), sb=sin(b), cg=cos(g), sg=sin(g), cd=cos(d), sd=sin(d), p=u*cg*cd-v*(ca*sb*sg*cd+ca*cb*sd), q=u*cg*sd+v*(ca*cb*cd-ca*sb*sg*sd), r=u*sg+v*ca*sb*cg, s=v*sin(a), esc=imag(p5)+9 c=p+flip(q)+p3, z=r+flip(s)+p4: z=z^(real(p5))+c |z|< esc } END PARAMETER FILE=========================================

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FOTD 03-01-13 (The Sound barrier [8])
by Jim Muth 03 Jan '13

03 Jan '13

FOTD -- January 03, 2013 (Rating 8) Fractal visionaries and enthusiasts: Today's Z^(-4)+C near-Julia image carries the current theme to the limits. I have double-rotated the orientation of today's slice 0.000001,0.0000001 degree from the true Julia orientation, which totally destroys the 4-way symmetry of recent images. But the resulting image is still notable enough to rate an 8. (A tiny rotation sometimes makes a huge difference in Julia images.) The colors are mostly carried over from yesterday's image, with only a few registers being tweaked. The calculation time of 45 seconds will pass fast, leaving little waste if the image lays an egg. Here is where the web sites can make the viewing even easier. View the finished image online at: <http://www.crosscanpuzzles.com/Archives.html> with hi-def variations at: <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> and the back images at: <http://www.Nahee.com/FOTD/> After a very chilly morning low of +5F -15C, the brilliant sun raised the afternoon temperature to a comparatively pleasant freezing point. The fractal cat spent the entire afternoon on the shelf in the southwest window, warming himself in the sun. The humans had a routine day getting the work under control. The next FOTD will be posted when I get a round tuit. Until whenever, take care, and I heard a teacher on the local radio the other day claim that the present day children think differently than yesterday's children. I had to agree totally. Yesterday's children were not as helpless as today's lot. They needed no computers to enable them to learn that 2+2=4, etc. They did it all in their heads. And for entertainment they went out, played with their friends and sometimes hurt themselves. Then they came home and read books. Our 'technologically advanced' culture sure is declining. Let's solve the problem with more technology. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= The_Sound_Barrier { ; time=0:00:45.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=SliceJulibrot4 passes=1 maxiter=3200 center-mag=6.14828/0/0.09570475 params=89.999999\ /0/89.9999999/0/-1.647884739957274/0/0/0/-4.01/0 float=y inside=0 symmetry=xaxis periodicity=0 colors=000hdrtPvsWczbVqIcqRXqMRqOLqQEqS8qT2oV8nXEm\ ZJl`PjbVid_hfeghkfjpcdn`_mYUkVPjSJhPEgM8eK3dG2Y9D4\ D2RA1K61D306Iu7Ei5AY47N23B1pDXlCUiBSfAQb9O_8MX8KT7\ IQ6GN5EJ4CG4AD38926614302GL1EJ0DI0CG0BF0AE09C08B00\ 00zz0570450340220110QIWNGTLEQIDNGBKE9HB8E96B748435\ 212_N8UJ6OF5IB4C72631ZG6TD5NA4H83B52521NHpIDeDAV96\ L4UzSF2W7tT6oRczP5gM5cK4_I4WG3SD3OB2K92G61C418204C\ drA`m9Xh8Tc7QZ6MU5IP4EK3BF27A135X8BS79O68K56G45C34\ 822411KpkHieFb_CXUAQO7JI5DC266alRXeNS_KNUGJODEIA9C\ 6463DaKAUG7MC5F8274aRFXODTLBPIALF8GC6C95m00HezzUzi\ 4b`3VS2NI1F907Pj8Nf7Lb6J_6HW5FS4DP4BL39I37E25A1371\ 130gSlcPg_McWKZSHVOFQKCMGAHC7D858424AUm8Qg7Na6KX5G\ R4DM3AG26B135K35I24H24G24E23D23C13A129128126115014\ 01200100zBIsAGn9Fh8D`7CW6AS59N47I36E24913401kRc_KU\ ODKC6AwGcqE_lDWfBTaAPW8LR7IL5EG4AA27513XeCT`APW9MS\ 8SsCWsCasBisBosAvzAzzAzdR } frm:SliceJulibrot4 {; draws all slices of Julibrot pix=pixel, u=real(pix), v=imag(pix), a=pi*real(p1*0.0055555555555556), b=pi*imag(p1*0.0055555555555556), g=pi*real(p2*0.0055555555555556), d=pi*imag(p2*0.0055555555555556), ca=cos(a), cb=cos(b), sb=sin(b), cg=cos(g), sg=sin(g), cd=cos(d), sd=sin(d), p=u*cg*cd-v*(ca*sb*sg*cd+ca*cb*sd), q=u*cg*sd+v*(ca*cb*cd-ca*sb*sg*sd), r=u*sg+v*ca*sb*cg, s=v*sin(a), esc=imag(p5)+9 c=p+flip(q)+p3, z=r+flip(s)+p4: z=z^(real(p5))+c |z|< esc } END PARAMETER FILE=========================================

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AOTD 1/2/13
by JackOfTradeZ＠comcast.net 03 Jan '13

03 Jan '13

. This really is a "surprise" fractal; it finished way ahead of what I had calculated. The same interesting effect is observed with all Julia type fractals (simple to complex) when animating in one dimension (linear, along a line in the plane, ie., by varying one parameter). There are alternating periods of "slow" activity and motion with fast "explosive" displays. One might think you could isolate the "fast" segments, then "expand" them by re-rendering the frames with a smaller increment, but if you do that, the same alternating slow-fast pattern re-emerges. I have noticed this over 10 years of Julia animations. Kinda like a "Cantor Set Line" - as you magnify it the same pattern keeps occuring. In this case it is cool - a small fractal image slowly morphs and expands with increasing speed and intensity, and the cycle repeats several times over the viddie. In the original FOTD for 1/1/13 the REAL parameter (P3) is set to -1.64788477144322. For the animation it is varied from -1.647853 to -1.647913 in steps of -0.00000001 to give 6000 frames. It is 6 minutes 11 seconds long, 61 MEG download. Complete with 12th century soundtrack. http://www.fractal-animation.net/vid/2013.zip Enjoy! JoTz .

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