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MOTD Special 130314
by Albrechtx 13 Mar '14

13 Mar '14

HI, the multifractal world has it´s own laws and as I´m worldwide the only one doing this kind of fractals there is no one to discuss them or to communicate. I just have to get to know them by experience and learn to use them. ; One of them is that´it´s impossible to predict what happens if two formulas have the same center like Newton and Secant. Most of the time one of them is more powerful and the other one remains invisible, but MFR12 has means to enforce this "battle" and then be prepared for something extra special like today. ; This is one of the reasons for me to say MFR12 is fun. I have created it, it´s my world and I can make my own discoveries. Every one is a new "country" ready to explore. ; I just fail to understand why nobody cares to share that experience. Of course it´s complicated to create new images (mostly), but other people have a lot more of those grey cells and should be eager to do this kind of game. Maybe the new input screen can make that decision easier. ; There are two color versions of the same image. It´s a total view and absolutely unique as such. ; https://www.dropbox.com/sh/b8zy8sasia4wgc8/kg7FfOqSKg ; Cheers, Albrecht

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<JackOfTradeZ> Re: And WHERE are all of the FOTD posts? It is 3/9 and...
by Hal Lane 13 Mar '14

13 Mar '14

------ JackOfTradeZ said: -------- > And WHERE are all of the FOTD posts? It is 3/9 > and the web site only has 3/1 so far. I'm trying hard to calculate and post Jim's images in a timely manner on my site while his site is temporarily behind. I've got all of the ones in March of 2014, (and I'm also working back from March 1st -- putting up the images I've previously calculated) http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html - Hal Lane ######################## # hallane(a)earthlink.net ######################## --- This email is free from viruses and malware because avast! Antivirus protection is active. http://www.avast.com

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FOTD 12-03-14 (Sugared Nonagon [A-8,M-5])
by Jim Muth 12 Mar '14

12 Mar '14

FOTD -- March 12, 2014 (Rating A-8,M-5) Fractal visionaries and enthusiasts: In today's image we check the negative X-axis of the Z^(2.993)+C Mandeloid as rendered by the MandelbrotBC3 formula at ground level with no function applied. Instead of being spread into a wedge, the valley at this point is partly cut off, but as today's image shows, the parts that remain are filled with interesting nooks and crannies. The name "Sugared Nonagon" came about when I got a sudden urge for a chocolate bar while studying the image. Thanks to the coloring, the art aspect of the image rates an 8, while the overused math trick rates only a 5. The calculation time of 4 minutes is slow, I admit it, but here is where the web sites can save much precious time. The fotd web sites are located 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> The official FOTD web site at: <http://www.crosscanpuzzles.com/Archives.html> will be up and running in another day or two. Clouds and occasional rain spoiled the day here at Fractal Central. The afternoon temperature of 50F 10C was mild enough, but it began falling sharply in the evening. The fractal cats took it easy, Nicholas on the couch, Jasmine in her recovery room. The humans simply had another in a long series of lackluster days. The next FOTD will be posted in a day or so. Until then, take care, and one thing which the remake of the 'Cosmos' series has demonstrated so far is that TV producers have forgotten the importance of good music in creating an awe-inspiring effect. In 1983, when the original 1980 "Cosmos' series was being aired for the second time, I was doing a series of two-hour radio shows on a local college station. On three shows I decided to play the complete versions of the background music that made the original 'Cosmos' series so impressive. These shows were the most popular of my entire series. The first episode of the current 'Cosmos' series left me with the impression that the program has an agenda -- to propagate the secular humanist world view that sees the mystical experience as a function of the living human brain rather than as a real spiritual other-world experience. Why else would the cartoon character depicting 16th Century mystic philosopher Giordano Bruno, be depicted as having a mystical vision of the universe while his brain was still functioning, rather than having the vision after his execution, which would have been far more effective at creating the 'all was not lost' state of mind that I assume the producer was (or maybe was not) seeking. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Sugared_Nonagon { ; time=0:04:00.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=MandelbrotBC3 function=ident passes=1 center-mag=-1.096101904549808/-0.00202055949842129\ /1.903508e+012/1/-21/0 params=2.993/0/0/0 float=y maxiter=2000 inside=0 outside=tdis periodicity=6 mathtolerance=0.05/1 colors=000mLrmHojDmhBje9hb9eb9b`9`Y9YW9WW9UO9WGLY8\ e`4z`4zU4zQ4zM4zI4wE4wA4t74t44VC4BA49I49K49K49K4DK\ 4JO4PR4VU4`U4gU4oU6wU6zU7zU7zU7zUAzSEzQGrQKgOMZMQR\ MSJKWBIY9Ib9Ge9Ej9Em9Cr9Az9Az97p96h84`74W64O54I44E\ 34A246144044044044044044044044344944D44HC4LK4NU4Rb\ 4Tm4Rb4PU6NO7NG8LAAJ4CH4EH4GF4ID4ID4MF4OH4QJ4SL4WN\ 4YP4`R8bREhTKjVQmXUoZ`u`hxbozexzezz`xzXuzTozRmzNjz\ JezFbzDYzBWz9Uz9Qz9Oz9Kz9Iz9Gz94rB4eJ4UT4Kb4IV4IP4\ IJ4GC4G94G94G94E94E94E94E94MLhAJW4HO4FE4D74C44B449\ 44t44w44w44z44z44z44z44z44z44z74zA4zE4zG4zK4zM4wO4\ tQ6oSAmUIgYQe`Y`bhZerVhzTjzPezNbzLYzJWzHSzFQzDOzRI\ zeEzzzzzzzzzzzmrzcmzKhzAcw4Zt4Ur44o44r44r44r44r44r\ 44t44t44t44t44t44w44w44w44w44w46J47L48N4AP4CR4ET4E\ V4GX4IZ4K`4Mb4Oe4Oe6K`49Z4BV47T44P44N44P4SL4`94b94\ h94e94SL4`94Y94WB4UH4SN4QT4OZ449E49K49O49S49W79`E9\ eMBjUHobNumVzx`zuXzrTxoPu } 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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MOTD 130314 Play with Magnets
by Albrechtx 12 Mar '14

12 Mar '14

HI, ; generally the Magnet Basic image is not very colorful but due to the collaboration with Phoenix and ManyMods as outside things have changed. Also "Charlie" is "too much of everything" but you will see the reason for changing that. Have fun! ; https://www.dropbox.com/sh/zz56lnjy0xij8k4/efNTe4Vtli ; Cheers, Albrecht

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Re: [Fractint] input screen
by Albrechtx 12 Mar '14

12 Mar '14

HI, Using Hal´s suggestions (thank you, Hal) it now again is much simpler and easier to read. One Tip: To have it on your desktop open the pdf and use a screen capture device to record it, so its faster available and does not waste memory Albrecht

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Albrecht, Your 35100-09.GIF is a great image!
by Hal Lane 12 Mar '14

12 Mar '14

Albrecht, Your 35100-09.GIF is a great image! It has a nice mix of very large structures and very small detail. Nice. As usual, your color map seems very appropriate, too. - Hal Lane ######################## # hallane(a)earthlink.net ######################## ================================================ Author: Albrechtx Date: 2014-03-11 13:49 -400 To: Fractint and General Fractals Discussion Subject: [Fractint] MOTD 120314 Deep Space Nine HI, ; the title once more tells the story. Not much nore to say about it except - MFR12 is fun! Again: thanks Gene Roddenberry. ; https://www.dropbox.com/sh/lwx4fvt1o0n1okj/CO1tAsC7Ep ; Cheers, Albrecht =============================================== --- This email is free from viruses and malware because avast! Antivirus protection is active. http://www.avast.com

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Re: [Fractint] Input Screen
by Albrechtx 12 Mar '14

12 Mar '14

HI, as promised here is the link including the variables list to help you find out where to change a variable. As this is still in the progress some minor amendments may follow ; https://www.dropbox.com/sh/8xt8ueea0qty1rn/JY_uTs5K0K ; Cheers, Albrecht

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That new COSMOS!
by John Wilson 12 Mar '14

12 Mar '14

FOTD -- March 11, 2014 (Rating A-8.5,M-5) The next FOTD will be posted shortly. Until shortly arrives, take care, and I see that the second "Cosmos" series has hit the TV after a wait of over 30 years. I wonder if it will be just another plug for rationalism and the scientific method. What a crying shame! "Cosmos a Spacetime Odyssey", Part 1, shown today on my local National Geographic TV channel. I've been eagerly awaiting this event, anticipating an extension and new interpretation of Carl Sagan's original, (which I still have, as a boxed set of VHS tapes). What did I see? A poor copy of Sagan's themes, an uninspired monologue by Neil deGrasse Tyson and manga-style cartoon characters. I almost wept! And the music. What happened to the producers of this lack-luster creation, including Ann Druyan? Sagan's masterpiece was replete with some of the most inspirational and evocative pieces of music then available... played by masters. I found the musical background of this poor follow-up was a droning annoyance. John W.

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FOTD 11-03-14 (Bits and Pieces [A-8.5,M-5])
by Jim Muth 12 Mar '14

12 Mar '14

FOTD -- March 11, 2014 (Rating A-8.5,M-5) Fractal visionaries and enthusiasts: In today's image we began with yesterday's parent fractal and tweaked the exponent of Z from 3.001 to 3.01. Then, instead of checking the valley on the negative X-axis, we checked the valley on the positive X-axis. Today's image, which rates an exceptional art value of 8-1/2, is the result. The art rating is worth every half point, but the math aspect is so overworked that I could rate it ho higher than a modest 5. The name "Bits and Pieces" can mean whatever one wants it to mean. In today's image it refers to the semi-organized confetti scattered throughout the frame. The calculation time of 2 minutes will pass quickly enough once the brilliant colors become apparent. Visiting the web sites can cut the wait even faster. Check the finished image 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> The official FOTD web site will be up to date very soon. Lots of sunshine and a high temperature of 64F 18C made today the most enjoyable day so far this year here at Fractal Central. The older fractal cat enjoyed the sunshine, while the younger continued her recovery. The humans wished they had more time to enjoy the sun. The next FOTD will be posted shortly. Until shortly arrives, take care, and I see that the second "Cosmos" series has hit the TV after a wait of over 30 years. I wonder if it will be just another plug for rationalism and the scientific method. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Bits_and_Pieces { ; time=0:02:00.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=MandelbrotBC3 function=ident passes=1 center-mag=+1.089601472903944/-0.01698422089345075\ /4.346141e+008/1/-75/0 params=3.01/0/0/0 float=y maxiter=1500 inside=0 logmap=190 periodicity=6 colors=0000000000000000000000000200300600880CG0EQ0\ IZ0Ki0IZ0GQ2EK3EC4C66A0880A80C60E40E40I60K80MA0OC0\ SE0UG0XI4ZIAdKGfMMiOQkQXqSdtUkwXtyXyzStzOqzKkzIizE\ fzAaz6Zz4Uz2Sz0Qz0Mz0Kz0Gz0Ez0Cz00n20aA0QK0GU0EM0E\ GUEAUC3UC0UC0UC0UA0UA0UA0UA0UICd6AS08K06A04z03z02z\ 00z0k00n00n00q00q00t00t00w00w00y30y60zA0zCS60QA0OC\ 0ME0KG000A00G00K00O00S30XA0aI2fQ8kZEqiMwtSzqOwnKtk\ GqiCni8kf4id2fa0dZ0aZ0ZX0XU0US0SS0QK0SCCU4XX0wX0tQ\ 0tM0qI0qE0nA0n60k30k00M802G00O00Q00Q00Q04Q0AQ0GQ0M\ Q0SQ0ZQ0fQ2nQ2wQ3zQ3zQ3zQ6zOAtMCiMGZKIQIMIIOAGS2EU\ 0EZ0Ck0AjFAi08n06cK6i03d02Z00S00O00K00E00A00600200\ 0wG0tI0nK0kM2fO6dQEZUMXXUSZdQan_dwcfycaycZzcUzmSzm\ OczMczKczEczAcz4mz2mz0mz0mz0mz0zz0zz0zz0zz0zz0zz0z\ z0zz0zzczzczzczzczzczzczzczzczzzzzzzzzzzzzzzzzzzzz\ 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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MOTD 120314 Deep Space Nine
by Albrechtx 11 Mar '14

11 Mar '14

HI, ; the title once more tells the story. Not much nore to say about it except - MFR12 is fun! Again: thanks Gene Roddenberry. ; https://www.dropbox.com/sh/lwx4fvt1o0n1okj/CO1tAsC7Ep ; Cheers, Albrecht

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FOTD 10-03-14 (Cobweb Country [A-8,M-5])
by Jim Muth 11 Mar '14

11 Mar '14

FOTD -- March 10, 2014 (Rating A-8,M-5) Fractal visionaries and enthusiasts: Today's image is a scene in the Z^(3.001)+C Mandeloid as it appears when rendered by the MandelbrotBC3 formula at ground level with no function applied. The scene is located very close to the negative X-axis, in a valley that is spread into a wedge. The name "Cobweb Country" describes the web-like effect of the skeletized image. This cobweb effect was achieved by rendering the scene with the logmap set to an un-necessarily large value. The art rating of an 8 reflects the success of this idea, but the math value remains at an average 5, since the math trick has grown pretty tired by this time. The calculation time of one measly minute will pass fast. The web sites can offer an even faster view. Check the finished image 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> The official FOTD web site is still down but will be up to date in a day or two. With lots of sun and a temperature of 55F 13C, today brought a pleasant preview of spring to Fractal Central. Fractal cat Nico enjoyed the afternoon sun on the shelf in the southwest window. Fractal cat Jazzie soaked up as much sun as she could find in her room where she will be confined for another week until the doctor gives her the all-clear. The fractal humans enjoyed the pleasant conditions as best they could, while tending to the other things that needed to be done. The next FOTD will be posted in the proper time. Until the time gets proper, take care, and I wonder why the need for sleep has never evolved out of the higher-order animals. It certainly would be a great survival advantage to have no need to fall unconscious for several hours every day and thereby become so unaware of nearby danger. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Cobweb_Country { ; time=0:01:00.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=MandelbrotBC3 function=ident passes=1 center-mag=-1.091996544292507/+0.00134638356855061\ /7.037395e+011/1/-77.8/0 params=3.001/0/0/0 float=y maxiter=1250 inside=0 logmap=143 periodicity=6 mathtolerance=0.05/1 colors=000000_bN`dPaeQcgSdiUekVflXgnYhpciqmahzUczc\ czmczcczUczKhzAkz6mz6mz6mq5msKhuKkwUnzZqzctzhwzmzz\ mzzzzzzzzzzzidzsbzlZhfce_caUcZNcVHcSAcO4cLAcNGcOLc\ QRPRWSTaWUg_WlbXrfZwi_odch`gaXjUTnNPrGLuKOrOQpSTnV\ VlZXjb_gfaeiccmfaqh_tjYodVkZTgTRcOP_cNWcLScJOcHNcH\ McGLcFKcFKcEJcEIcDHcDGcCGcBFcBEcADcACc90c0Cc8Bc8Ac\ 79c78c68c57c56c45c44c34c23c22c11c10c0xcUwcTvcTucSt\ cSscRrcRqcQpcQocPncPmcOlcOkcNjcNicMhcMgcMfcLecLdcK\ ccKccJbcJacI`cI_cHZcHYcGXcGWcFVcFUcFTcESmERmDQmDPm\ COmCNmBMmBLmAKmAKm9Jm9Im8Hm8Gm7Fm7Em7KmdLmcMmbNmaO\ m`Pm_QmZRmYSmXTmXUmWVmVWmUXmTYmSZmR_mQ`mPamO`mS`mW\ amZambasebyiasdasbasaas_asZasXasW`sU`sT`sR`sQ`sO`s\ N`sL_sK_sI_sH_sF_sE_sC_sBZs9_sCmsDmzFmzGmzImzJmzLm\ zMmzOmzPmzQmzSmzTmzVmzWmzYmzZzz`zzazzczzdzzezzgzzh\ zzjzzkzzmzznzzpzzqzzszzszzszzszztzztzztzztzzuzzuzz\ uzzvzzjzz_zzOzzNzzLzzKzzI } 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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Suggestions for "MFR12 Input Screen" document:
by Hal Lane 11 Mar '14

11 Mar '14

Albrecht, You said: > Any suggestions for further improvement are welcome! OK. You asked for it... Your posts "MFR12 Input Screen" helps to clarify MFR_12's input parameters quite a bit. For completeness and clarity you might want to add some definitions of your usage of terms at the top of your documentation -- perhaps something like: 1) ------------------------------------------------- r = Real i = Imaginary p = Parameter Left = to the left of the decimal point in the parameter value Right = to the right of the decimal point in the parameter value Example: IP3 Left = Refers to the digits to the left of the decimal point in the Imaginary part of the third parameter, p3. fn1=xxx[xxx] means: fn1=xxx or fn1=xxxxxx Example: fn1=cotanh [x] means that a letter "x" is optionally used. E.g.: xxx[xxx] can refer to: "cos", "cosh", "floor", "cotanh", etc. -------------------------------------------------- I think (at least some of) the above definitions of terms need to be stated -- because, although the Fractint documentation refers to "p3", it does *not* refer to "ip3" or "IP3". And "Right" and left are not defined in the Fractint documentation. 2) I also note that you have (throughout the document) both upper case and lower case versions of the same(?) terms. E.g.: RP4 as well as: rp4 One must convince oneself that these are not referring to two different items. If they were both the same case, one might not have to work to convince oneself -- or guess about this... For consistency and ease of visual matching of terms, I would suggest using all lower case -- to match the case used in the Fractint documentation. 3) Having the fields defined within the parameter values be labeled (or named) with letters is a great idea. But, you need to see if you can make use of these letter names in your comments on the usage of the fields. You took my advise about this even before I sent it to you! Great! I have a minor suggestion, which may or may not work. Since the width of your fields are defined with square brackets "A[1234]" instead of using: "A::" to make a reference to the "A" field, why not use: "A[]" Then the syntax will be identical, and you won't have to memorize that "::" means "[]". But having the upper case letters label the fields it a really great idea! 4) Also, instead of your: functions first 1234 second 1234 third 1234 fourth 1234 shouldn't you use the same "fn1" syntax that the Fractint documentation uses -- perhaps something like this: functions: fn1=xxx[xxx], fn2=xxx[xxx], fn3=xxx[xxx], fn4=xxx[xxx] (One of the allowed functions is "cotanh" containing six letters...) Your "1234" implies that digits should be substituted for "1234". "xxx" implies that alphabetic letters (e.g.: "tan") are to be substituted. 5) I really like your use of the bold lines to define the fields on the Fractint parameters. It really makes your eye jump to them easily when you need to refer to them. - Hal Lane ######################## # hallane(a)earthlink.net ######################## =================================================== Author: Albrechtx Date: 2014-03-10 19:59 -400 To: Fractint and General Fractals Discussion Subject: [Fractint] MFR12 Input Screen HI, maybe you want to change a value of an image or there has been an update changing only a single command: Here is a HELP SCREEN to make that as easy as possible. I suppose you all have a pdf reader, if not I recommend the Foxit Reader it is better then Adobe and free. ; You can use a printout or open it on your desktop. All values have a line - RP2 or IP2 for instance and a letter to identify. Example: RP2A means the sequence of the formulas used A[12345] RP3A means the Newton Vaiable A[123] In the brackets you can see how many digits are used. Is that clear enough? Questions are welcome, of course. ; I will also supply a list of all used commands and variables showing the name and where to modify it. ; https://www.dropbox.com/s/2hmzem59rxxlcfj/input.pdf ; Albrecht ============================================================ --- This email is free from viruses and malware because avast! Antivirus protection is active. http://www.avast.com

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MFR12 Input Screen
by Albrechtx 11 Mar '14

11 Mar '14

HI, maybe you want to change a value of an image or there has been an update changing only a single command: Here is a HELP SCREEN to make that as easy as possible. I suppose you all have a pdf reader, if not I recommend the Foxit Reader it is better then Adobe and free. ; You can use a printout or open it on your desktop. All values have a line - RP2 or IP2 for instance and a letter to identify. Example: RP2A means the sequence of the formulas used A[12345] RP3A means the Newton Vaiable A[123] In the brackets you can see how many digits are used. Is that clear enough? Questions are welcome, of course. ; I will also supply a list of all used commands and variables showing the name and where to modify it. ; https://www.dropbox.com/s/2hmzem59rxxlcfj/input.pdf ; Albrecht

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I've calculated essentially all of Jim's FOTD images and...
by Hal Lane 10 Mar '14

10 Mar '14

I've calculated essentially all of Jim Muth's FOTD images and some "variations" on most of them up through March 9th, 2014. However, as you may have seen, I've not had time to post them. With Jim Muth's web site temporarily behind in posting images, I realized that it was important to post the images, parent fractal and "variations" that I've calculated of his FOTDs to my site: http://tinyurl.com/Jim-Muths-FOTD or: http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html as quickly as possible. I put them up rather hurriedly -- if you find errors or bad links, I'd appreciate your letting me know. Thanks, - Hal Lane ######################## # hallane(a)earthlink.net ######################## --- This email is free from viruses and malware because avast! Antivirus protection is active. http://www.avast.com

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MOTD 110314 The Other Side of Infinity
by Albrechtx 10 Mar '14

10 Mar '14

HI, ; this is the end of the journey: An island with many more gates. The Image has 3 channels: Shape_Manowar, inside1_Newton, Inside2_ Phoenix ; Regular viewers of my images have noticed that since some time I use only 2 maybe 3 channels and not always five anymore. The reason is that with MFR12 it is possible to design an image which finally looks as I have planned it - so it´s possible to "tell a srory" like here. ; https://www.dropbox.com/sh/6ijlwvzlen8mv9i/lbrjWX3fMZ ; Cheers, Albrecht

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<Albrecht> Your MOTD 100314 "Gate to Infinity" certainly can...
by Hal Lane 10 Mar '14

10 Mar '14

Albrecht, Your MOTD 100314 "Gate to Infinity" certainly can lay claim to extending all the way to one over infinity at the center of the tunnel! I also like the colors in the Phoenix background. I see that the Spider formula in MFR_12 which you specified forms the tunnel, and the phoenix "behind" it has very nice colors -- and the right size detail at this level of zoom to be compatible with the size of the dominant feature -- the tunnel. - Hal Lane ######################## # hallane(a)earthlink.net ######################## =========================================== HI, ; this is another one of those unusual pictures which make you look twice or more... It took some time to find a Spider Version with a usable inside and this is one! The Phoenix inside features a strange world with wormholes to other galaxies - thanks Gene Roddenberry again. If you ask me : Next Generation and Voyager still are the best TV series ever. ; https://www.dropbox.com/sh/84qycu6d7m2a55g/iwX7DuFXMM ; Cheers, Albrecht ========================================== --- This email is free from viruses and malware because avast! Antivirus protection is active. http://www.avast.com

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What platforms for fractint?
by Timothy Wegner 10 Mar '14

10 Mar '14

I could have sworn I have asked this before, but I searched my fractint records and I can't find it. I my copious free time now that I am retired (hah! hah! hah!) I have spend a lot of time updating my computer lab. I tend to build computers, and leave them on my network until they die. My oldest is an XP machine which supports not only running Fractint directly (albeit with mediocre VESA support) but also my ancient Microsoft Fractint development environment, which I swear any day now I will investigate. Here's my question. I think it would be useful for those folks who use Fractint semi-regularly to describe what platform they use. The OS and the Graphics are probably the two most important things to share . I short note describing those two items might suffice. In this note I am undoubtedly being too verbose. Of course Fractint runs really well (if not fast) on DOSBox, particularly the svn builds that have terrific VERSA support. But I'm guessing regular Fractint users probably use an old machine. My old machine runs Windows XP and uses motherboard graphics with Nvidia Geforce 7600 GS, which the vesainfo utility says has a 1600x1200x256 mode. I haven't experimented too much to see what actually works with Fractint, but I don't think I can actually use that mode in a regular DOS box. I have an MSI RS2600XT board that I believe I could but in the machine - that's ATI graphics. I'm actually more concerned to keep that box alive for the developer environment than graphics. I also have some SCIlab software that improves VESA support which I could also investigate. My "hah! hah! above meant that in retirement I am having an absolute blast doing all kinds of things, and even though Fractint activities are on my lists of interests, I can't promise to devote much time to it. Life is way too full. But I might devote some time! :-) Oh, one more thing, I have some Linux environments I have updated recently (Fedora and Linux Mint). I will try putting Xfractint on them, haven't done so yet. Tim

5 7

FOTD 08-03-14 (The Long Arm of Math [A-7,M-6])
by Jim Muth 09 Mar '14

09 Mar '14

FOTD -- March 08, 2014 (Rating A-7,M-6) Fractal visionaries and enthusiasts: Today's image is a scene in the parent fractal that results when the formula Z^(1.3)+C is iterated one small step up the hyperladder with no function applied. This parent consists of a large bay shaped somewhat like a half-moon, with a few minor bays around the edges and a field of cross-shaped filaments extending to the south. Today's scene lies near the southern edge of this field of filaments. The effect of an island in the middle of nowhere was achieved by rendering the image with the logmap set too high and coloring the very large area covered by the 001 register total black. This took a little extra work, which raised the art rating to a 7. The math rating scores only a 6. I can see nothing very new or unique in the math aspect. The name "The Long Arm of Math" refers to the unusually long main filament extending northeast from the oddly shaped order 1.3 minibrot at the center. The image calculates in 55 seconds, which will pass unbelievably fast. Those who still cannot believe may find calculation relief on the FOTD web sites. The finished image is posted 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> The official web site will be back in operation in a few days. Clouds spoiled today here at Fractal Central, though the mild temperature of 50F +10C prevented a total loss. The new fractal cat Jasmine remained confined to her room with a collar around her neck. The old fractal cat Nicholas wondered what was wrong with her. The humans simply took it as easy as possible. The next FOTD will be posted in the not-too-distant future. Until whenever, take care, and our president says this is the 21st century and the world has moved beyond the days when one nation can impose its will on another nation by force. So do as the U.S. says, not as it does. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= TheLongArm_of_Math { ; time=0:00:55.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=MandelbrotBC3 function=ident passes=1 center-mag=+0.5516410406928077/-1.356369190773757/\ 1.182505e+008/1/150/0 params=1.3/0/1/0 float=y maxiter=32000 inside=255 logmap=110 periodicity=6 colors=00000014M25O38Q4IS5MU6PWCZYXgQpsKloJilJfiIb\ eI_bHX_HTXGQTGNQFJNFGKEDGE9DD6AD37D8BCCECGHCKLBOOB\ SRBXT8WUBWVEVWGVXJVYMUZOU_RSUWU_TVdRWiPXoNYtLSyNZy\ JdyGjyDhuBfrAdo9bk8`h7Ze6`f8af9bfAdgBegCfgDghEihFj\ hGkiHliIniJojKpjLslNqjMphLofKmdJlbIk`HiZHhXGgVFeTE\ dRDcPCbNC_OEXOGUPIRPKOQMLQOIRQFRSCSU9SWCTVETVGTVIT\ VLTVNTVPTVRUVTUVWUVYUV_UVaUVcUVcTWcSXcRXcQYcPYcPZc\ OZcN_cM_cL_cLYcLWeNUgPSiRQkTOmVMnWKlWIjWGzUEzSFzQF\ zOFzMGzKGzHGzEHzBHz8Hz5Fz6Hz7Iz8JzALzCMzDNzEPzGQzH\ RzJTzKUzLPzMVzM`zNfuNlwOryNyxOwwPuvQsvRruSptTntUms\ VkrWirWirWht`cud_whVxlRvjTuiUthVsgWqfXpeYodZnc`mba\ kabj`ci_mhZmgYmbamYezUizPmzKqzGtzDmzBmz9mz7mz4mz5m\ z6mz6mz7mz8mz8mz9mz9mzAmzBmzBmzCzzCzzKzzRziYzadzUn\ zSkzNhzIezDbz8_z3Yz4Wz5Uz6Sz7Qz8Oz9MzAKzBIzCGzDDzB\ FzEzzGzzIzzLzzNzzPzzSzzUzzWzzPzzYzzdzzezzfzzgzzhzz\ hzzfzzdzzbzz`zzZzzXzzVzzz } 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=========================================

1 0

FOTD 09-03-14 (Down in the Dumps [A-8,M-5])
by Jim Muth 09 Mar '14

09 Mar '14

FOTD -- March 09, 2014 (Rating A-8,M-5) Fractal visionaries and enthusiasts: Today's image is named "Down in the Dumps". The name does not refer to a duck fight at the city dump, it indicates the mood of the image. I have rarely seen such a depressed looking minibrot sitting so sorrowfully in the middle of such a depressed color scheme. The parent fractal came about when I iterated the expression Z^(1.3)+C at a level of 11 steps up the complex-logarithmic hyperladder. This parent is shaped much like the minibrot in today's image, though it is standing on its downcast head. Today's scene is located in a field of debris surrounding the period-5 bud on the northeast shore line of the main bay of the parent. Because of the overwhelming gloominess in the image, a good part of which was created by the colors, I have rated the art aspect at a cheerful 8. The math aspect is worth an average 5, since these multi-valued log images are nothing new. The calculation time of 1-2/3 minutes might seem to go slowly at the start, but once the image's gloominess becomes apparent, it will slow down markedly. Those who find no enjoyment in the gloom of setting up and running parameter files may view the finished image 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> The official FOTD web site is still behind, but will be caught up in a matter of a few days. Except for the slightly lower temperature of 45F +6C, today, with its near total sun, was a repeat of yesterday. The 11-year- old fractal cat enjoyed the sun on the window shelf for the entire afternoon, while the 6-1/2-month-old fractal kitten remained confined to her private room until she recovers from her recent talk with the doctor about the facts of life. The fractal humans passed the day being human. The next FOTD will be posted in the very foreseeable future. Until then, take care, and it's really hard to maintain a totally depressed outlook on things. Jim (the exuberant) Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Down_in_the_Dumps { ; time=0:01:40.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=MandelbrotBC3 function=floor passes=1 center-mag=+0.8928501674/+0.2292060082/15068.3/1/\ -145/0 params=1.3/0/11/0 float=y maxiter=30000 inside=0 logmap=-128 periodicity=6 colors=000A0i80j60j40f40c52V61N42G23628J2DV2Gf2Ir8\ MsDPtIYuOavT`wYdxblyZdtVZpSWkOSgKObHLZMRYQSYUTXYUX\ aUXJWiHYjG_lFamDcnCdoBeq9fr8gs7mt6mu7mz8mz8mz9mzAm\ zAwzBwzCwzCwzDwzEwzEwzFwzFwzGwzHwzHwzIwzJwzJwzKwzL\ wzLwzMwzNwzNwzOwzOwzPwzQwzQwzRwzSwzSwzTwzUwzUwzVwz\ WwzWwzXwzXwzYwzZwzZwz_wz`wz`wzawzbwzbwzcwzewzczzbz\ zkzzkzzkzzkzzkzzkzzkzzkzzkzzkzzkzzkzzkzzkzzkkzkkzm\ pzppzppzppzppzppzppzppzppzppzppzppzppzppzppppppppp\ uuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuu\ zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\ 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=========================================

1 0

Gate_to_Infinity
by JackOfTradeZ＠comcast.net 09 Mar '14

09 Mar '14

. I downloaded and rendered the PAR - doesn't look anything like the picture!? I think I have the wrong FRM, the PAR says: ""formulafile=mfr_12.frm formulaname=multifractal_12"" and I was using: ""MFR_10.FRM multifractal_12"" which I think is an older and incorrect formula. So where do I get the new one?? And WHERE are all of the FOTD posts? It is 3/9 and the web site only has 3/1 so far. .

2 1

MOTD 100314 Gate to Infinity
by Albrechtx 09 Mar '14

09 Mar '14

HI, ; this is another one of those unusual pictures which make you look twice or more... It took some time to find a Spider Version with a usable inside and this is one! The Phoenix inside features a strange world with wormholes to other galaxies - thanks Gene Roddenberry again. If you ask me : Next Generation and Voyager still are the best TV series ever. ; https://www.dropbox.com/sh/84qycu6d7m2a55g/iwX7DuFXMM ; Cheers, Albrecht

1 0

Fwd: Re: MOTD 090314 Too Much of Everything
by Albrechtx 09 Mar '14

09 Mar '14

-------- Original-Nachricht -------- Betreff: Re: MOTD 090314 Too Much of Everything Datum: Sun, 09 Mar 2014 08:26:08 +0100 Von: Albrechtx <Albrechtx(a)ish.de> An: Hal Lane <hallane(a)earthlink.net> Am 09.03.2014 04:16, schrieb Hal Lane: > I agree with your title "Too Much of Everything" > for your image: 60001-01.GIF I added a different veersion using logmap first and then a different colormap. This adds a mysterious touch and reduces the details. How about that? ; https://www.dropbox.com/sh/yxx6wo21spxyk5s/ahbAjBT201 ; Albrecht

1 0

Re: [Fractint] MOTD 080314 Fountain of Youth
by Hal Lane 09 Mar '14

09 Mar '14

Re: MOTD 080314 Fountain of Youth If, as David indicated his wife said, "the first one looked like a brain." then the 2nd image, 40600-13, shows the nerve cells in the brain... - Hal Lane ######################## # hallane(a)earthlink.net ######################## --- This email is free from viruses and malware because avast! Antivirus protection is active. http://www.avast.com

2 1

Re: [Fractint] MOTD 090314 Too Much of Everything
by Hal Lane 09 Mar '14

09 Mar '14

Albrecht, I agree with your title "Too Much of Everything" for your image: 60001-01.GIF The "Blue Crown" of your fractal: 60001-05.GIF is very nice. It has a nice variety of features in the smaller details that rewards additional close inspection. They make me want to zoom in -- or buy a bigger monitor! - Hal Lane ######################## # hallane(a)earthlink.net ######################## --- This email is free from viruses and malware because avast! Antivirus protection is active. http://www.avast.com

1 0

Re: [Fractint] MOTD 060314 Which "Give in-Adapt-Take over" is your favorite?
by Hal Lane 09 Mar '14

09 Mar '14

Albrecht, You asked: > Which of the three MOTD's [named] > "Give in-Adapt-Take over" > is your favorite? I really would like > to know. I personally like the most colorful one, 45000-05.GIF, both because of the great variety of colors, but also because the different colors more clearly show the smaller shapes in the interior of the fractal. I'm going to try calculating it at a higher resolution to see what that does to the fine detail in this version of the fractal. - Hal Lane ######################## # hallane(a)earthlink.net ######################## --- This email is free from viruses and malware because avast! Antivirus protection is active. http://www.avast.com

1 0

MOTD 090314 Too Much of Everything
by Albrechtx 08 Mar '14

08 Mar '14

HI, ; the images Phoenix with Secant as outside or inside look almost alike with one big difference:The Phoenix part is chaotic if secant is "outside". The title tells the story: You can zoom blindfolded and you will always get a detailed image. There are so many different structures that it screams for a big flatscreen so the eyes can travel from one spot to another. The variety of those spots is extreme and makes it a unique.fractal. There are 4 additional images, the baasic in 2 coloring methods, a light zoom and a gag. ; https://www.dropbox.com/sh/yxx6wo21spxyk5s/ahbAjBT201 ; Cheers, Albrecht

1 0

Re: [Fractint] [Fractdev] Fractint under FREEDOS from USB drive
by Paul N. Lee 08 Mar '14

08 Mar '14

Paul wrote: > > I have been doing a lot of work on ManpWIN. > Let me know if there is any interest. I'm > happy to share source code if anyone is > interested. The basic engine is based on > Winfract. > > http://www.deleeuw.com.au/download/SetupManpWIN.exe > I have tried to keep up with all of your modifications over the years, and have made sure that most of the forums which I have frequented are aware of your application. You have given several people an alternative when they are unable to use FractInt on their more modern machines. Thank you for keeping it going, and hope you will continue with the upgrades when you have the time to devote to it. Sincerely, P.N.L.

3 2

MOTD 080314 Fountain of Youth
by Albrechtx 08 Mar '14

08 Mar '14

HI, ; today?s MOTD features again Manowar Typ2 (see posting 030314) and Phoenix as inside. The second image 40600-13 is a deep zoom into the bottom of the fountain, where strange creatures do their job. Sorry, a small MFR12 update was necessary referring only to Phoenix. It waas caused by the nasty Notepad error I mentioned. The Pars in the startup postings have been amended, the images are identical. ; https://www.dropbox.com/sh/g79lj4hr2jul1cp/7YkleGffD8 Cheers, Albrecht

2 1

FOTD 07-03-14 (Fractal Rat's Nest [A-8,M-7.5])
by Jim Muth 08 Mar '14

08 Mar '14

FOTD -- March 07, 2014 (Rating A-8,M-7.5) Fractal visionaries and enthusiasts: The formula that created today's image, the JuliaBC, is one of the original two 'branch cut' formulas submitted about 12 years ago, if I remember right, by Andrew Coppin. The other branch cut formula, the MandelbrotBC, simply shows the critical Mandelbrot aspects of the same fractal expressions. The purpose of the two formulas was to take advantage of the multi-valued nature of the complex log function and make an animation of the fractals that result when the other log values are iterated. The MandelbrotBC formula in particular, and its descendants, have produced many FOTD fractals over the years. Today's scene shows one of the Julia sets that result when the formula Z^(1.3)+C is iterated 52 levels up the hyperladder with the floor function hard coded into the formula. The particular value of C is -0.4,-0.2. The name "Fractal Rat's Nest" describes my first impression of the scene. Thanks to the 'fmod' inside fill, the art value rates an 8. The math value rates a reasonably respectable 7.5, since I use the Julia branch-cut formulas far less often than the Mandelbrots. The calculation time of 1-1/2 minutes will pass fast when the interesting part of the image starts to appear. And checking the web sites can make the time pass even faster. Avoid the calculation chore by checking the web sites 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> The official FOTD web site is still down, but its resurrection appears imminent within a few days. Today brought a lot of sun and, for a change, a temperature of a couple degrees above freezing to Fractal Central. The older fractal cat enjoyed the sun, while the younger cat was thankful to be rescued from the doctor, who convinced her to stay away from the kind of tomcats that have been prowling the area. The humans comforted the younger cat as soon as she arrived home. The next FOTD will be posted sometime between 24 and 54 hours from now. Until whenever, take care, and Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Fractal_Rat's_Nest { ; time=0:01:30.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=allinone.frm formulaname=JuliaBC passes=1 center-mag=-0.19265/\ -0.145174/0.8445339/1/57.5/0 params=1.3/0/52/0/\ -0.4/-0.2/0/0 float=y maxiter=1000 inside=fmod proximity=0.04 periodicity=6 colors=000L8QL9SLAULBWLCYLD_LEaLFcLGeLHgLIiLJkLLmL\ NoLPqLQrLSrLUrLWrLYrL_rLarLcrLerLgrBYrBYrBYrBYrBYr\ BYrBYrBYrBYrBYrBYrBYrBYrBYrksrksrksrkqrkqrkqrhorfo\ rbmr`mrXmrXkrVkrVirVirTirThrRhrRhrQfrQfrOdrOdrOdrM\ brMbrK`rK`rI`rIZrGZrGZrGWrDWrDUrBUrBUrATrATr8Rr8Rr\ 8Rr6Pr6Pr4Nr4Nr2Nr2Lr0Lr0Lr0Jr0Jr0Hr0Hr0Hr0Fr0Fr0D\ r0Dr0Dr0Cr0Cr0Cr0Ar0Ar08r08r08r06r06r04r04r04r04r0\ 4r04r06r08r0Ar0Cr0Dr0Hr0Jr0Lr0Nr0Pr0Rr0Ur0Wr0Zr0`r\ 0br0fr0hr0ir0kr0mr0or0sr0ur0wr0yr0zr0zr0zr1zr3zr5z\ r7zr9zrBzrDzrFzrHzrJzrLzrNzrPzrRzrSzrTzrUzrVzrWzrX\ zrYzrZzr_zr`zrazrbzrczrdzrezrfzrgzrhzsizujywkxxmxy\ pwzswzvvzwvzvwztwyqxxnxwlyukzsjzrizrhzrgzrfzrezrdz\ rczrbzrazr`zr_zrZyrYyrXwrWwrVurUurTsrSsrRqrQorPorO\ mrNmrMkrLkrKirJirIhrIhrIfrGfrGdrGdrGbrGbrG`rD`rDZr\ DZrDWrDWrDUrBUrBTrBTrBRrBRrBPrANrANrALrALrAJrAJr8H\ r8Hr8Fr8Fr8Dr8Dr6Cr6Cr6Ar } frm:JuliaBC { ; by several Fractint users e=p1, p=real(p2)+PI, q=2*PI*floor(p/(2*PI)), r=real(p2)-q, C=p3, Z=Pixel: Z=log(Z) IF(imag(Z)>r) Z=Z+flip(2*PI) ENDIF Z=exp(e*(Z+flip(q)))+C |Z|< p4+100 } END PARAMETER FILE=========================================

1 0

FOTD 06-03-14 (Strawberry Fractal [A-8.5,M-7])
by Jim Muth 07 Mar '14

07 Mar '14

FOTD -- March 06, 2014 (Rating A-8.5,M-7) Fractal visionaries and enthusiasts: Today's striking image lies in a parent Mandelbrot set that is corrupted by Z^(4.95) energies. This corruption causes the main negative spike to split into an infinitely divided series of straight and curved filaments. The scene of today's image lies close to the X-axis near the eastern side of the large distorted minibrot on the negative spike. I feel that the art rating of 8.5 is justified because of the time I put into the coloring. The math rating of 7 is justified by the fractional nature of the corruption exponent, which causes an entirely different type of distortion to appear even on the surface of the parent. But so far, I have investigated such fractals to only a minor degree. The name "Strawberry Fractal" describes the impression created by the colors when I first saw them. The fireball calculation time of only 40 seconds continues the trend of high-speed parameter files of the past several days. The web sites can eliminate the task of setting up and running the parameter file. To see the strawberry colors, check the FOTD web sites 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> The official FOTD web site at: <http://www.crosscanpuzzles.com/Archives.html> is currently having technical problems, but will hopefully soon be up and running again. Hazy sunshine prevailed all day here at Fractal Central today, while the temperature started at a bone-chilling +7F -14C and rose to only a very winterish 25F -4C. The new fractal cat Jasmine spent the day at the doctor's office, where she had a long talk about the facts of cat life. She will be back home tomorrow to recover from her talk. The old fractal cat Nicholas was puzzled about the absence of his new playmate, and spent the day searching for her. The humans spent the day concerned about the new fractal cat's talk with the doctor. The next FOTD will be posted in around a day. Until then, take care, and I see that Russia has 'invaded' The Ukraine. I guess the free world should retaliate and give Russia the same penalties it gave the U.S. when the U.S. invaded Iraq. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Strawberry_Fractal { ; time=0:00:40.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=FinDivBrot-2 function=recip center-mag=-1.736098263572743/+0.00001181690185034\ /4.836219e+009/1/138.75/0 params=4.95/500/0/0 float=y maxiter=3200 inside=0 logmap=62 periodicity=6 mathtolerance=0.05/1 colors=00000800900A00B00C01E12G33I54K74M83QA2VC2ZE\ 1cF1gG7dHDaHIZIOWITTi5vGC7JA8L98N79P69R5AT3Ah2Bj4_\ nBcpGerLgtOprUonZliciehg`mdXrc_vhczmhzsmzzHPU7CN6D\ T5DZ4Id3IjAKkHHlNEmUBn_8omBQa6dR1rWAm`JheScj_ZohUt\ qPxyLunNscPpTRnITl7UiAVfCVcEV`GVW6fT5mQ5sM6mJZQJcN\ GgQDkTBnW8rZ5va3ydWBIbFHiJHpNHvRHpQKjPMdOOZNQTMTNL\ VHKXCJZUFcYHVaINeJEhK6RB4A32TWeUSSUOEUK1PY4Lk7Hy9K\ xBMxDPxFRwHUwJWwLYwMckLh`KmPJrEIw3Hs8GoDFlIEhNEeSD\ aXCZ`Ca_DcZEfYFhYGjXHmWIoVJqVJhWO_WSotOpsMpsLprKpr\ JpqIpqHqqFqpEqpDqoCqoBqoAqpAppApqAprAps9ps9pt9pu9p\ v9pv8pw8px8py8py8ox9ox9nx9nx9nx9nxAmxAmxAlxAlxBlxB\ kxBkxBjxBjxCjxCixCixChxDhwDhwDgwDgwDfwEfwEfwEewEew\ FdwFdwFdwFcwFcwGcwGbwGbwGawHawHavH`vH`vH_vI_vI_vIZ\ vIZvJYvJYvJYvJXvJXvKWvKWvKWvKVvLVvLUvLUuLUuLTuMTuM\ SuMSuMSuNRuNRuNRuNQuNQuOPuOPuOPuOOuPOuPNuPNuPNtPMt\ QMtQLtQLtQLtRKtRKtRJtRJtR } frm:FinDivBrot-2 { ; Jim Muth z=(0,0), c=pixel, a=-(real(p1)-2), esc=(real(p2)+16), b=imag(p1): z=(b)*(z*z*fn1(z^(a)+b))+c |z| < esc } END PARAMETER FILE=========================================

1 0

Impressionistic Fruitsalad
by Albrechtx 06 Mar '14

06 Mar '14

HI, please check today´s MOTD again. Albrecht.

1 0

FOTD 03-03-14 (Extra-Rich Seven [A-7,M-8])
by Jim Muth 05 Mar '14

05 Mar '14

FOTD -- March 03, 2014 (Rating A-7,M-8) Fractal visionaries and enthusiasts: Today's image shows one of the richest order-7 minibrots I have yet turned up. It lies in the remains of the northern branch of Seahorse Valley of the large minibrot on the main spike of the parent Mandelbrot set, which is just beginning to morph from quadratic to order-7. The minibrot has been caught about half way through the morphing process, and is quite indescribable. I named the image "Extra-Rich Seven" because of the unusual richness of the central minibrot. This richness earns the image an art rating of a 7, while the math aspect earns an excellent 8. The very fast calculation time of 30 seconds has rarely been exceeded in FOTD history, but there is still the need to set up and run the parameter file. This minor chore can be eliminated by checking the FOTD web sites. The finished image is posted 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 cloudy here at Fractal Central. The sky cleared in the afternoon, but despite the sun, the temperature never rose above 19F -7C. The fractal cats unexciting adventures continued as they enjoyed the sun on their shelf for several hours in the afternoon. The humans were sullen and grouchy most of the day. The next FOTD will be posted soon. Until soon arrives, take care, and what worthy cause will concerned activist agitators choose to go out and demonstrate for next? Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Extra-Rich_Seven { ; time=0:00:30.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=FinDivBrot-2 function=recip logmap=53 center-mag=-1.764680001612652/+0.00719931301975423\ /5e+012/1/32.75/0 params=7/500000/0/0 maxiter=3200 inside=0 float=y periodicity=6 mathtolerance=0.05/1 colors=000cmoclmckkcjicigchfchecidciccjacj_ckYclWb\ mUakSZhQWeOTbMQ_LNXIKUGIQEFMCCIAAE87A6464A22F9DKFO\ PLYURhZXrcTiaP`bMTcIKcFCZLFURHZYJccLhjNmqPwwRrqVmk\ Yhgaecdc_gkXksTnzQqxUovXnu`msclrfkpjiomhmpgltfjwei\ zddue_qfVhgRhhQcfQhdPhcPhaPh`OhZNhXMcVMcULcSKcQJcP\ JcNIcLHcKGcIGcGFcFEcDDcBDcAFcCGcDIcFJcGLcIMcJOmKPm\ MRmNSmPUmQVmRRmYOmdKmkHmrGmrGmrFmrFmrEmrEmrDbrDfrC\ jrCnrBrrBvrEuqHtqJtqMsqPsqRrpUrpXqpZqpappdzofzoizo\ lzonzoczYUzHKz0Oz4Sz7WzAZzDXzHVzLUzOSzSQzVPzZNzaLz\ eKzhKzlOzjRzhUzfXzd`zbcz`fzZizXlzVizXgzYdzZbz_`z`Y\ zaWzbUzcRzdPzeNzfKzgIzhGziPzYXzMdzB`zFYzIVzLSzOPzR\ MzUJzXDzN7zE1z57z7Cz8HzANzBSzDXzEbzGgzHlzImzImzInz\ InzInzIozIozIozIpzIpzIpzIqzIqzIqzIpzJozJnzJmzJmzKl\ zKkzKjzKjzLizLhzLgzLgzLgzTgz`gzgezeczdbzb`zaZz_YzZ\ WzXUzWTzURzTQzSTzfVzuWzrWzoWzlWzjWzgWzdWzbWz_WzXWz\ UWzSWzPWzMWzKVzJVzIVzIVzH } frm:FinDivBrot-2 { ; Jim Muth z=(0,0), c=pixel, a=-(real(p1)-2), esc=(real(p2)+16), b=imag(p1): z=(b)*(z*z*fn1(z^(a)+b))+c |z| < esc } END PARAMETER FILE=========================================

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FOTD 04-03-14 (Five Purple Peaks [A-6,M-8])
by Jim Muth 05 Mar '14

05 Mar '14

FOTD -- March 04, 2014 (Rating A-6,M-8) Fractal visionaries and enthusiasts: Today's image is a scene on the southern shore line of a half- morphed minibrot on the long filament extending from a sub-bud on the north side of the large period-2 bud of the parent Mandelbrot set, which is corrupted in its depths by quintic energies. The minibrot at the center of the image appears as a depression in the center of a ring of 5 peaks. I am not sure whether to call the ring of peaks a basin or a plateau. Maybe the closest description would be a volcano. The magnitude of the scene is near the limit of perfect resolution. Zooming in on the minibrot will lead to the appearance of breakdown, though the amount of breakdown will remain reasonable at least as far as the minibrot. The name "Five Purple Peaks" refers to the many rings of five hills with minibrot basins at their centers scattered throughout the image. The art rates an average 6; the math rates an 8 due to the unexpected combination of hills and basins in the scene. The calculation time of 30 seconds will pass in a fractal flash, whatever that might be. Checking the finished image on one of the web sites can also be done in a flash. The finished image is available 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> A hazy sun and a cold temperature of 27F -3C made today feel more like January than March here at Fractal Central. The fractal cats had an average day for cats. The fractal humans had the same kind of day for humans. The next FOTD will be posted when the time is right. Until whenever that might be, take care, and never forget that the human spirit consists of a lot more than a frame of mind. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Five_Purple_Peaks { ; time=0:00:30.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=FinDivBrot-2 function=recip float=y center-mag=-1.262528676164804/+0.4079109130490012/\ 2.124048e+011/1/40/0 params=5/500000/0/0 inside=0 maxiter=1500 periodicity=6 mathtolerance=0.05/1 colors=000abWXXRRSNMMIGGDBB9554jgldbf_YaVTWQORKJLF\ EGA9A545wX0qT0kQ0eN0_J0UG0OD0I90C60630W3`T2YR2VP2T\ M2QK1NI1LG1ID1FB1D90A607405202LS4EI2791KJvHGmEDeBA\ X88P55G22854b43X32R22M21G11BA925F87HC8JF9LIANMBPPC\ RSBPUBNVBMXBKYBJZEM`GOaIQcKSdNUfPWgRYiT_jWalYcm_eo\ agpceldchebdf`az_YzYUzXRzVNkTJzSFzQCzP8zN4zM1zX2zg\ 3zf6ze9zdCzcEzbHzaKz`Nz`Pz_SzZVzYYzX_zWbzVezUhzUjz\ PSzL9zLNzL`zLmzKmzJmzImzHmzGmzFmzEmzDmzCm`Fh`Hc`JZ\ `LUaNQaPLaRGaTBaV7ZWAXWDVXGTXJRYMPYPNZSLZUI_XG__E`\ bC`eAah8ak6bn4bpHZmTWkdTipQgnSimTklVmjWoiYphZrf`te\ avdbwb_u`Yt_VsYTrXRqVOpUMoSKnQHlPFkNCjMAiK8hJ5gH3f\ G1eM3cR4aX5_a6Zf7Xl8Vq9TvASrEUoHVlKXhNYeQ_bU`ZXbW_\ cTbePefMihJliFokCrl9um8oh7jc6e_5_V4VR4QM3LI2FDzM_1\ A9054IH9CB6653KEoHCgEA`B8T86M54E227CcXB`UAZS9WQ9UO\ 8RM7PK6MI6KG5HE4FC3CA3A8276154022f5Db4BZ4AV39R38N2\ 7J25F14B13702301rsilmdgg_ } frm:FinDivBrot-2 { ; Jim Muth z=(0,0), c=pixel, a=-(real(p1)-2), esc=(real(p2)+16), b=imag(p1): z=(b)*(z*z*fn1(z^(a)+b))+c |z| < esc } END PARAMETER FILE=========================================

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FOTD 05-03-14 (4-Cornered Minibrot [A-8,M-7])
by Jim Muth 05 Mar '14

05 Mar '14

FOTD -- March 05, 2014 (Rating A-8,M-7) Fractal visionaries and enthusiasts: The story behind the creation of today's image is the same as yesterday's, since today's image is a close-up of the minibrot at the center of yesterday's image, with an appropriate touch-up of the colors. The magnitude of over 4*(10^12) is as high as the magnification can possibly be stretched at this particular fractal location without the resolution breakdown becoming objectionable. The name "4-Cornered Minibrot" describes the minibrot at the center, which despite its obvious quintic energies, has only four lobes, an odd situation that is true of almost all positive power Mandeloids. (Strangely enough, the negative power Mandeloids have one more spike than the generating negative power of Z, while both positive and negative power Julia sets have the same number of elements as the absolute value of the generating power.) The art rating of an 8 indicates that I put extra effort into the coloring; the math rating of a 7 shows that the math trick still has a little life left in it. The calculation time of a fireball 30 seconds removes most of the wait for the image to finish. For an even easier life, check the finished image on one or all of the FOTD web sites, which may be accessed 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 chilly weather made today notably normal here at Fractal Central. The fractal cats made it through the day doing nothing worth commenting about, which is actual cat reality. Real cats do not have human adventures like Garfield; they are simply cats. Meanwhile, the fractal humans spent the day being human, which by human standards can be notably boring. The next FOTD will be posted in the fourth-dimensional future direction. Until we travel that 4-D distance, take care, and look for the higher dimensions. We are told that at least ten dimensions exist but we cannot observe them. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= 4-CorneredMinibrot { ; time=0:00:30.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=FinDivBrot-2 function=recip center-mag=-1.262528676164728/+0.4079109130490521\ /4.123988e+012/1/34/0 params=5/500000/0/0 float=y maxiter=1500 inside=0 logmap=35 periodicity=6 mathtolerance=0.05/1 colors=000dKscKqbKoaKm`Kk_KiZKgYKgXKhWJiVIhUFmQDiM\ CcIBZGAUC9P94M02F01A015A865FP7Jc8Nh9RmAVmBYmK`mK_n\ KZqK_tU_wUdzUdwUducisciqcnohnmmnkmsmmsomsrmsvmszms\ zms0rs0vs0zz0zz0zz0zz0zz0zz0zz0zz0zz0zz0zz0zr0zq0z\ s0zs0zs0zs0zgczfczfczeczdczcczbczacz`cz_cz_czVcpRm\ pRmpRmpRmpQcpPcpOcpNcpMmpLmpKmpJmpImhpzhozhozhnzgn\ zgmzgmzglzflzfkzfkzfkzfjzejzeizeizehzdhzdgzdgzdfzd\ zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzz } frm:FinDivBrot-2 { ; Jim Muth z=(0,0), c=pixel, a=-(real(p1)-2), esc=(real(p2)+16), b=imag(p1): z=(b)*(z*z*fn1(z^(a)+b))+c |z| < esc } END PARAMETER FILE=========================================

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MOTD 060314 Give in-Adapt-Take over
by Albrechtx 05 Mar '14

05 Mar '14

HI, ; this is the third MOTD using the same basic Manowar Image. After Secant and Newton now Manymods as outside. ; They have in common that they have a clearly defined center so they can be used with the basic image i have chosen because it has a black center which can be awakened to life - it contains lots of invisible data like a mandel. ; There are two color variants as I could not find the better one. Which of the three MOTD´s is your favorite? I really would like to know. ; I told you that Manymods has an "intelligent" way of adapting to other frms and surroundings. This proves it again. It even adapts to the X-symmetry in an elegant and beautiful way. Therefore the title - of course some of the egomaniacs leading wars these days should behave this way. I call it the female tactics. If you ask me men should be forbidden to rule a country ; https://www.dropbox.com/sh/pkfyjri8i10hoyf/7J7VnF8ITl ; Cheers, Albrecht

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MOTD 040314 Strange Vision
by Albrechtx 05 Mar '14

05 Mar '14

HI, ; some images risen from the depth of MFR12 are so strange that you forget to breeze on first sight, trying to find something it resembles. But there is nothing and yet - as it has such a clean structure there must be something. Your guess is at good as mine, bu one thing is clear: It is impressive. ; https://www.dropbox.com/sh/t2ma5fongxftceg/hbUqD5PgbQ ; Cheers, Albrecht

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MOTD 050314-2 The Battle
by Albrechtx 05 Mar '14

05 Mar '14

HI, ; I added a second part to todays MOTD. It?s a zoom into 47000-03 but a different image, because the outside border is increased, so in fact two different spirals battle for dominance. Nevertheless the image is in no way chaotic, as the colors still are different and the result is extraordinary. ; https://www.dropbox.com/sh/9d9zvwq8cisgdln/mW8ngvSR_i Cheers, Albrecht

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MOTD 050314 MFR12 Magic
by Albrechtx 05 Mar '14

05 Mar '14

HI, ; there?s a good reason for the name: If you take yesterday?s 41000-03.gif and change just one digit - rp2 second digit - from 1 to 7 you get todays 4700-01 ! This basic image is beautiful and interesting, but the light zoom - judge yourself. FRM and par included. A small tip: Copy the MOTD parfiles into a "MOTD.par" file within the fracitint par section, so you have them all together. ; https://www.dropbox.com/sh/yb4omt26symmgm6/KXQfVao0wg Cheers, Albrecht

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Comments on Albrecht's "MOTD 040314" 41000-01.GIF
by Hal Lane 05 Mar '14

05 Mar '14

Albrecht, I really liked your fractal 41000-01.GIF a lot! The deep red and subtle slate blue colors immediately reminded me of old hand-painted Chinese screens and pictures. I think that impression was helped by the thin curved arcs that evoked the strokes from a calligraphic brush that's used to draw Chinese characters. The deep red colors are also shaded through a range of very pleasing tones -- but with a twist (see below.) Raymond Filiatreault's FintMap http://www.nahee.com/Software/+FIntMap/ ver 1.4 shows some interesting work was done to create this particular color map: http://tinyurl.com/41000-01-FIntMap-color-map or: http://www.emarketingiseasy.com/Albrecht/MFR12/41000-01_FIntMap.jpg The slate blue is a single color throughout the entire image -- it's in the color "swatch" roughly under the green "4" in the file name in the above screen capture; however, these deep reds have been almost dithered by the fractal itself to give a textured aspect to these areas. The dithering is mostly between two adjacent colors of red in the color map (those colors are under the "10" in the file name.) I really like the effect this creates in the image -- it seems to add age to the "canvas" the work is painted on... Looking at the color swatch at the bottom of the screen capture of FIntMap, I almost expected to see Paul Carlson-like areas with shiny highlights in Albrecht's fractal -- but the patterns of the fractal's areas didn't invoke this. Albrecht's fractal is definitely not a shiny, Carlsonesque "Mind Boggling Fractal". - Hal Lane ######################## # hallane(a)earthlink.net ######################## --- This email is free from viruses and malware because avast! Antivirus protection is active. http://www.avast.com

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Issues
by JackOfTradeZ＠comcast.net 04 Mar '14

04 Mar '14

. Albrecht - I know how you feel <g> about lack of feedback, but that doesn't mean people aren't interested! I'm sure many (like me) download and render the formulas w/o necessarily commenting all the time; I don't expect everyone who downloads one of my animations to jump online and comment how awesome they are, (although I know they are awesome and just a little praise would not hurt...<g>). The multifractal formulas are way-cool; I have tried zooms and parameter animation tests but nothing worth doing (yet); also they take LONG to render. As for the question about FractInt platforms, I will repeat that an old Win9X machine is your best bet. Pentium-2,3 at 500-900 MHz or thereabouts. For current systems, I have found that WinXP itself isn't the problem - it seems to be the hardware a/o chipset configuration. Athlon64 chips are good, Intel not so good. I have and have had several systems over the years; the one I currently am using (Alienware Area51, purchased in 2006) has NVIDIA GeForce 8600, and AMD AMD Athlon(tm) 64 X2 Dual Core Processor 4600+ -15807.3 Mhz. It is the fastest fractint machine I have ever had - just click on the file in windows and it opens and runs in a command shell. Yet my previous WinXP Gateway system was absolutely unusable with fractint. With both of these I would boot up with a DOS 7.0 boot CD and run on a FAT32 partition. .

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Issues
by JackOfTradeZ＠comcast.net 04 Mar '14

04 Mar '14

. Someone asked: ""Since you mentioned booting DOS, did you ever run Fractint from DOS?"". I do not understand the question! If I boot from a DOS 7.0 CD, am I not then running fractint in DOS ?? I created the CD by first making a boot floppy in Win9X, then a CD burning program (Easy CD Creator ver 5.0, rather old software) has the ability to create boot CD using the floppy as source; I also add misc DOS files to it as I needed. The original HD was of course formatted NTFS, and couldn't be seen after DOS boot. But "Partition Magic 8.0" software allows conversion of partitions back to FAT32, something I had thought not possible. On the FAT32 partition is fractint and all needed files; it all works perfectly. I have been using flat (LCD) monitors forever - both on my old Win9X boxes and the current systems. The only problem is that they have a "default" resolution mode that may not be what you want for fractals; it still works however. .

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MOTD 030314 Ying-Yang
by Albrechtx 03 Mar '14

03 Mar '14

HI, : of course it is not easy at all to create a fractal that reminds of the Ying-Yang symbol, but I think I have come pretty close. Referring to my feetwarmer a while ago maybe this may be a source for another version too. The music has the title because of the left-right game it plays but with a suitable image - who knows? ; https://www.dropbox.com/sh/3256nsbt17xk17y/fcdXb_pt8V ; Cheers, Albrecht

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MOTD´s
by Albrechtx 03 Mar '14

03 Mar '14

HI, ; since more then 3 weeks I have not received feedback or any reaction, although I have tried to make the MOTD´s as interesting as possible. So I must accept that there is no interest and will waste no more time and energy. ; All links are deactivated except MOTD 170214 warpdemo MOTD 260214 border system and yesterdays music edition MOTD 270214 stress relief. On request I will reactivate a link but I doubt there will be any. So from now on only the daily weatherreports and mandel decorations remain. ; Albrecht

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Ying-Yang Trip
by Albrechtx 03 Mar '14

03 Mar '14

HI, ; just in case somebody wants something really hot on this cold and rainy day ; https://www.dropbox.com/sh/40k2u5f2mxj1no7/8lwz1-Hp9x ; Cheers, Albrecht

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FOTD 02-03-14 (The Seventh Heaven [A-6,M-7])
by Jim Muth 02 Mar '14

02 Mar '14

FOTD -- March 02, 2014 (Rating A-6,M-7) Fractal visionaries and enthusiasts: Today's scene shows an order-7 minibrot in the East Valley area of a small half-morphed minibrot on the main stem of the parent fractal, which is an oversized Mandelbrot set corrupted in its depths by Z^7 energies. I named the image "The Seventh Heaven" because of the Z^7 energies that pervade it. I think it was the ancient poet Dante who determined that there are seven heavens, though present-day people would be satisfied to have real evidence of even one. The art rating of a 6 is average. The math rating of a 7 is a little above average, though the math trick is beginning to appear a bit shopworn, and may soon lose some of its originality. The calculation time of 1-1/4 minutes will pass fast enough. The image may be seen on the web sites equally as fast, and without the nuisance of calculation. For convenience, check the finished image 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 bit of snow around daybreak, a temperature of 34F +2C and clouds that hung around all day made the outdoors rather unpleasant here at Fractal Central today. The fractal cats spent the day being cats; the humans passed the day being humans. The next FOTD will be posted in the near future. Until the next time, take care, and would the genuine bad guys of the world please step forward and state their case. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= The_Seventh_Heaven { ; time=0:01:15.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=MultiExp function=recip center-mag=-17.83417305203472/+0.0000001307216498/\ 1.279976e+009/1/-50/0 params=7/11 float=y maxiter=1950 inside=0 logmap=150 periodicity=6 colors=000FmjGmjHmjImkJmkKmkLmkMmkNmkMmlMmlMllMkmL\ jmLimLfmKciJ`eIYaHWYGUTFSQEONDKKBFF89A555333000000\ muqkwpiypgvnetlcrjaph_ngYleWjcUgaSe_QcZOaXN_VNYTNR\ SOKXKBaG1ZC0U80P30KzzzzzzmmmcccZ`sYVrYQpXKoXFmW9lW\ 4kY7jZ9j`BjaDjbGidIieKifMihNgjOflOenPdpPcrQbsQaEPF\ KMIQJKWGN`EPZIOXLOWOOUSOSVORYOP`ONdOMgOKjOJmOLkNMi\ NNgMPeMQcLcaLc_LcYKmWKmUJmSJzQIzOIzNIzPHzRHmTHmVGm\ XGcZGc`Gc_HUZHUYHUXHJWHIVHGUHETHDSHBRH9QH8QH9PLAOO\ ANRBMUBLXCK_DJbDIeEHhEHzjKzdKz_LzV3zX6zm9zmCzzFzzI\ zzLzzOzzRzmUzmXzf_zgbzWRaLFtKCpJ9lI6hH3dKC_NKVPTQS\ `LUhHUdKUaMUZOUWQUSSUPUUMWUJZUG`UCbUUdUUfUUhUUjTUg\ TUeTUcSUaScZScXScVRcTRcRRcOQcMQcKcmIcmGcmIcmKcmMcm\ NcmPVmRcmScmUcmWcmXcmZcm`cmacmczzezzfzzbzz_zzXzzTz\ zQzzNzzMzzLzzLzzKzzKzzJzzJzzIzzIzzHzzHzzJzzLzzNzzP\ zzQzzSzzUzzWzzYzzZzzXzzVzzTzzRzzrzzozzlzzizzfzzczz\ `zzYzzVzzSzzQzzTzzWzzZzza } END PARAMETER FILE=========================================

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Re: [Fractint] Startup Basics Type 2
by Hal Lane 01 Mar '14

01 Mar '14

I was able to use the pars and MFR_12 formula from Albrecht's "Startup Basics Typ 2" post to calculate all of the BASIC fractals in the post. However, I noticed that my Internet Explorer 7 and Google Chrome web browsers added a trailing space character to each line, which renders the parameter sets unable to be read in successfully by Fractint. But, my older Firefox does not add the trailing spaces, and so the copied parameter sets all work fine if copied from Firefox (and pasted into the Notepad editor.) One thing that I have in my SSTools.ini file for MFR_12 is: DEBUG=4200 ; sets disk video cache size to min. ; (for Multifractal_10 Disk Video) ; per Jonathan I don't know if its required to run MFR_12 in non-Disk Video modes or not -- because I leave it in there all the time... - Hal Lane ######################## # hallane(a)earthlink.net ######################## -------------------------------------------------------------- Author: Albrechtx Date: 2014-03-01 00:13 -500 To: Fractint and General Fractals Discussion Subject: Re: [Fractint] Startup Basics Typ 2 Am 23.02.2014 22:34, schrieb Albrecht: > Here now is a complete set of those basic images > including the parfiles. If you compare them with the > previous versions youÂ´ll notice that all (except Phoenix) > are different. As the link is deleted too here are the parfiles again: ====start par======================================== Beesbsn { ; Bees_Typ2 . . . -------------------------------------------------------------- --- This email is free from viruses and malware because avast! Antivirus protection is active. http://www.avast.com

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MOTD 260214 Border System
by Albrechtx 01 Mar '14

01 Mar '14

HI, ; today I will demonstrate and try to explain my border system. I?m aware that like in my warp system again nobody will be interested ( I just dont understand why) but it is available in the Fractint Archives and who knows?? ; It is the main tool to decide when and how a part of the image is terminated and calculation moves over to the next one. For that purpose 5 different bordervalues are defined in the input screen - 2 for the outside - and 1 each for inside 1 to 3. ; The user decides if they shall be applied to the Z values or to the Iter values, or both - whatever comes first. Line 25,29,31 field B of the input pdf which is supplied show where ; You get 3 different images of course and by modifying the boder values the actual BORDER of the corresponding part can be altered. In plain language; The position inside the image. ; The names of the images show the applied version. Also parfiles are supplied. ; https://www.dropbox.com/sh/ga15ca656jyrcq4/GJPBm1fe3k ; Cheers, Albrecht

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MOTD 170214 Warp Effect
by Albrechtx 01 Mar '14

01 Mar '14

HI, ; one of the "secrets" responsible for the indifinite versatility of MFR12 is my baby, the Warp Effect. The purpose is to mofify a part of the image from a light modification up to "Warp 9", thanks Gene Roddenberry. ; It consists of 3 elements: The warp factor taken from the input screen, the iteration counter and a function, 1 of 4 in the bottom line.That means the warp effect changes with every iteration. It is applied to "z" or P1, mandel or julia type. ; It works with every frm used and can be used separetely for every channel, main, outside, inside1 to 3. ; Pnncipally it can be used with most formulas and therefore should be interesting for all formula writers - questions are welcome. ; The link contains 7 modifications of the Secant formula plus the basic view. And - sorry, already a new version of the plugin, this time an important improvement ,not a bugfix and it?s necessary to calculate above images. ; It?s purpose is to generate better basic images, independant from functions and closer to the original formula. It is activated by adding "5" to digit 7, Real P2 after the dot. ; Within some days I will add new basic images to the Startup Basic Images folder. See Startup Basics, posted Feb,05. ; https://www.dropbox.com/sh/wyz4tok216d8311/VRyWlDofIy Cheers, Albrecht

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Startup Basics Typ 2
by Albrechtx 01 Mar '14

01 Mar '14

HI, Dropbox is playing games with me today. I got a wrong link again, so I repeat the message. ; Yesterday and today I posted some images of the new type 2 which are different from previous versions, as the basic image is independent from function 1 now and this now is available for the participating frms to use. Of course this version is added and all other images are still available. Here now is a complete set of those basic images including the parfiles. If you compare them with the previous versions you´ll notice that all (except Phoenix) are different. Here again is the first link dated feb12 again: https://www.dropbox.com/sh/82yqz36o7y07aah/fyxOhKGxac ; and this is the new link: https://www.dropbox.com/sh/3qcx3tt3q7821a3/rjfDHI11_C ; Cheers, Albrecht

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<Albrecht> Sorry to see you go.
by Hal Lane 01 Mar '14

01 Mar '14

> since more then 3 weeks I have not > received feedback or any reaction, > ... > So I must accept that there is no interest > and will waste no more time and energy. Sorry to see you go. I've always enjoyed your unique fractals, but recently I have not had the time to comment on them. I know you have been putting a lot of work into revising the Multi-Fractal formula. I personally think that your efforts have been worthwhile. - Hal Lane ######################## # hallane(a)earthlink.net ######################## ========================================= Author: Albrechtx Date: 2014-02-28 04:44 -500 To: Fractint and General Fractals Discussion Subject: [Fractint] MOTDÂ´s HI, ; since more then 3 weeks I have not received feedback or any reaction, although I have tried to make the MOTDÂ´s as interesting as possible. So I must accept that there is no interest and will waste no more time and energy. ; All links are deactivated except MOTD 170214 warpdemo MOTD 260214 border system and yesterdays music edition MOTD 270214 stress relief. On request I will reactivate a link but I doubt there will be any. So from now on only the daily weatherreports and mandel decorations remain. ; Albrecht ========================================= --- This email is free from viruses and malware because avast! Antivirus protection is active. http://www.avast.com

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FOTD 28-02-14 (Lost and All Alone [A-6,M-6])
by Jim Muth 28 Feb '14

28 Feb '14

FOTD -- February 28, 2014 (Rating A-6,M-6) Fractal visionaries and enthusiasts: Today's image was created when I combined 6 negative parts of Z^(-1.3) with 1.5 negative parts of Z^(-7.7) and added (1/C) on every iteration. The resulting parent fractal is a typical string of bays stacked north-south, with a prominent 'fan' exten- ding east from the origin. Today's scene lies in the east valley area of one of the many various sized minibrots strung along the eastern edge of the fan blade. I named the image "Lost and All Alone" when I noticed that the scene is totally cut off from the rest of the parent fractal. I did not check to see whether it is also cut off from the rest of the entire Julibrot. It might not even be possible to do this. Since the art and math aspects are both old tricks, they rate an average 6, which is not all that bad but nothing to get excited about either. The calculation time of 1-3/4 minutes is within the field of reason. And as always, the FOTD web sites can make the calcula- tion even more reasonable. Time may be saved by checking the finished image 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 a temperature of 0F -18C, but with total sun and no wind, the afternoon became almost pleasant. The fractal cats took full advantage of the sun, which at this time of year falls at its most efficient angle on their shelf. The fractal humans watched the midday news shows and wondered how much of the so-called 'news' we hear on the mass media outlets is based on fact and how much is propaganda intended to advance someone's agenda. The next FOTD will be posted sometime next month, and that's no propaganda. Until the next time arrives, take care, and when a person believes only half of what he hears as news, he believes far too much. Jim (the aliens are watching us ;-) ) Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Lost_and_All_Alone { ; time=0:01:45.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=MandAutoCritInZ function=recip float=y center-mag=+2.162423836308988/-1.271602847700038/\ 1.3e+008/1/-44/0 params=-6/-1.3/-1.5/-7.7/0/0/0/0 maxiter=2400 inside=0 logmap=300 periodicity=6 colors=000B0Q00JS0J10IM0H00GH0E00CD0A0086060030000\ 0czPIKO9UMCSKBQJBOIANHALG9JF9IE9GC8EB8CA7B97986776\ zzzrpinmwkjdhga`DEL9AkfJhcIeaHc_G`XFYVEWTETQDROCOM\ BLJAJHAGF9DC8BA7886CJnBHiAGdAE_9DV8BQ8AL78G67B6dT6\ WN6NH6EBozLjyJesIamGXfFT`DOVCJOAFI9AC7KqyHioFafDUY\ AMO8EFDmzCguBbnAXf9S_8MS7HL6BDxnlmecbXVSONHFEuIjoG\ eiF`cEXYCSTBONAJ705B7AeOjUIX60JzUTzcQqPOkNMfLKaJIW\ GGREEMCCGAAB88GhsFZ_EWXDTTCPQBMNAJJ9FG8CC799zUYtQU\ kNQcJMVGINCEE9ARQPPONNMLLLKKJIIHHGGFEEDDCCBBA99977\ 7W8PJ7F7gJ6dI6aH6_G6XF6VE6SD6QC6NC6LB6IA6G96D86B76\ 86zTtzRpvPlqOimMehKadJZ`HVWFRSEONCKJAG09U07zSOzQMz\ PLzNKsMJiKI_JGPHFNGELEDJDCHBAEA9C88A778ISLFNIDJFAE\ C8A9KhrIdmLaiQZeVWa_SYdPUiMQnJMh`ziZziYzjWzjVzgWxe\ XtcXoaYk_ZgXZbV_ZU`VU`QUaMUaIUcJUdKUeLUfMUgNUhOUjP\ UkQmlRmmRmnSmoTmqUmrVmsWmtXzuYzvZzwZzuWztUzrSzqQzo\ OznMzmKzkIzjGzhEzgCzfAzcA } 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 27-02-14 (The Second Scepter [A-6,M-3])
by Jim Muth 28 Feb '14

28 Feb '14

FOTD -- February 27, 2014 (Rating A-6,M-3) Fractal visionaries and enthusiasts: Today's image is a scene deep in the north branch of the valley just beyond Scepter Valley of the Mandelbrot set. Since the image lies at the extreme limit of the range of conventional math, it will be slightly improved if rendered with arbitrary precision math. However, doing this will increase the calculation time to over an hour. I named the image "The Second Scepter" because the scene lies in what I consider to be the second Scepter Valley. For artistic effect I set the logmap to an artificially high value, but even so, it's hard to get something new out of an overused idea. As a result, I could rate the art value no higher than a 6. The math value remains a miserable 3. After all, the first thing every fractal tyro learns is the formula Z^2+C. Be prepared to wait 2-1/4 minutes for the image to finish on a SOTA machine, and longer on an older unit. In such situations the web sites can bring relief. The finished image is posted 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> Today brought a mix of sun and clouds plus frequent flurries of snow to Fractal Central. The temperature of 25F -4C was too chilly for the fractal cats, who spent the afternoon sleeping. The fractal humans, who could not take time to sleep, passed the day doing other things, which to the rest of the world would be terribly uninteresting. The next FOTD will be posted in the near future, most likely 24 hours. Until the next time, take care, and how could an intelligent person like myself become so disillusioned with the same science that I found so fascinating in my younger years? Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= The_Second_Scepter { ; time=0:02:15.00 SF5 at 2000MHZ reset=2004 type=mandel passes=1 center-mag=-1.3681\ 63223818473/+0.00142846081662914/1.130847e+012/1/\ -90/0 params=0/0 float=y maxiter=41000 bailout=25 inside=0 logmap=-10190 mathtolerance=0.05/1 colors=00000FUhWOi`JjeEjj9ko4ks7mtAnuDpvGqwInwQgte\ ZqnRnqLhqHcx0Zv0Uu0Pt0Ks0Pr0UqAZpKcoQbn`bmbbleakha\ jj`im`ho`jobkodlofmohoojpolqonroptoruotvovwoxxoyvl\ xtiwsfwqcvo`vnYulVtjTtiQsgNse0rU0Ab0q`0p_0pU0iPObK\ WWzoIzhFqgRiSbaCmZEfWG_TITQJMUAcKN8HO1TZHdiXpskzzz\ zuzzcXVcTzcOKcJzcEAcAzcBEcCGcCIcDKcDmzmOcEQcLzpRzl\ Yzgczcjz_pzVmzQjzzhzHezCbz8`zzXZzUzQRzWOzaLzgIzlFz\ a`zSvzIoz8izPUzdFzt0zmAzgJziOzjSzlXzm`zjWzhRzfMzcI\ zaDz_8zY4zWFzUPzTZzUSzULzUEzU7zU0zZ7zcDzgKzlQzpXzu\ bzyhzxfzwezvdzubztazs`zr_zgVzYQzNLzDGbzCezDgzDjzDl\ zEEzP9zI4zB6zE7zG9zJAzLCzNDzQFzSGzUzpXzpZzpazpczpe\ zrGzpFzoEzmDzlCzjBziAzg9zf8zd7zc6jz5kz4gz6dz8azAZz\ BWzDTzFPzHMzIJzKGzMDzOAzPGzaMzmzqmzmmzhmzdmz_mzWmz\ RmzNmzJmzMkzPjzSizVhzXgz_fzbeJzdGzcEzbBza8z`5z_2zZ\ 0zYAzUKzQUzMczIdzKezMfzOgzQzdSzdUzcWzcYzb_zbazacza\ ez`gz`izSozGLzMPzRSz_OzgL } END PARAMETER FILE=========================================

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MOTD 270214 Stress Relief
by Albrechtx 27 Feb '14

27 Feb '14

HI, ; in private emails I have been asked for my fractal music- It´s being played on private events and said to be available on facebook. I cannot verify as I have not registered and never will do. ; I have decided to publish my fractal rhythm too, as it is better then to face bad imitations. Also I have been asked to allow inserting my music in noncommercial CD releases, which is ok- It would be nice though to name the author- I want to stress one aspect though: I despise having my music compared to commercial music fof any kind, call it experimental, avangardistic or whatever - that´s also the reason I will not modify it to fit into any musical pattern. ; Anyway here is a new title of the relaxing type. The image used for scanning was released MOTD 040213 ; Careful when playing Midi:The quality depends on your system and naybe disapointing. The mp3 is 320kb high quality, dual channel. : https://www.dropbox.com/sh/fwaymcct4o8smb3/k0AjaQ9OVQ ; Discussion is welcome! Cheers, Albrecht

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FOTD 26-02-14 (A Very Deep Scepter [A-8,M-3])
by Jim Muth 27 Feb '14

27 Feb '14

FOTD -- February 26, 2014 (Rating A-8,M-3) Fractal visionaries and enthusiasts: Today's image is a return trip to the Mandelbrot set, where we check very deep into the extremity of the long filament extending northwest from a large bud on the northern shore of the large period-2 bud of the M-set. The name "A very Deep Scepter" is a bit misleading, since the scene lies rather far from Scepter Valley. The art rating of an 8 reflects the time and effort I put into smoothing the colors. The math rating of a lowly 3 indicates that the formula became totally familiar and overworked quite long ago. With the image lying at a depth of over 10^(40), arbitrary precision math is a must. Even so, with a calculation time of 10 minutes, the image is still relatively fast. And visiting the web sites will bring satisfaction almost instantly. Save the ten minutes by checking the finished image 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 2cm of snow, but by midday the sky had cleared, and the afternoon brought a lot of sun with a chilly temperature of 23F -5C. Meanwhile, the fractal cats non- adventures continued unabated. They passed the day playing, eating and sleeping, hardly an exciting routine to report. The fractal humans were almost as active as the cats. The next FOTD will probably be posted in 24 hours. Until then, take care, and scientific investigation makes the existence of unpleasant things such as bigfoots, mysterious triangles, space aliens and ghosts very doubtful. Unfortunately it also makes the existence of pleasant things such as God, and a life after death in heaven very doubtful. So should we believe everything discovered by science, believe nothing at all, or believe only the things that make us feel good, while we doubt the things that question our pleasant beliefs? Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= A_VeryDeep_Scepter { ; time=0:10:00.00 SF5 at 2000MHZ reset=2004 type=mandel passes=1 float=y bailout=25 center-mag=-1.296355138173036030353332640789145335\ 180420092/0.44185160573519811101978990252181767953\ 82451352/2.474369e+040/1/-45/ params=0/0 inside=0 maxiter=2500 logmap=291 periodicity=6 colors=00000B00C00D10E11F12G23H24I35J36K47L48M59N5\ AO5BP6CQ6DQ6ER6FS6GT6HU7IV7JW7KW7LX7MY7NZ8O_8P`8Qa\ 8Rb8Sb8Tc9Ud9We9Yf9_g9ah9chAeiAgjAikAkkCliDlhFlgGl\ fIleKldMlcOlaQl`Sl_UlZWlYYlX_lWalVclUelTglSilRkmPl\ mOmmNnmMomLpmKqmJrmIsmHtmGumFvmEwmCxmBymAzm9zm8zm7\ zm6zm5yn7xn8wn9wnAvoBvoCuoDuoFtoGtoHsoIsoJrpKrpLqp\ MqpNppOppPopQopRnqTnqUmqVmqWlpXlpYkpZko_jp`jpaipbh\ ocgodfneengdnhcmibmjamk`ml_mmZmnYmpXmpXmpXmpXmpXmo\ XmoXmoXmoWmoWloWloWkoWknWjnVjnVjnVjnVinVjnVinUimUh\ mUhmUgmUgmUfmTfmTemTelTelTelTelSelSelSelSelSekSekR\ ekRekRekRejReiReiRehQegQefQgeQeeQddQdcQdbQdaQd`Pd`\ Pd_PdZPdYPcXPcXPcWPcVPcUPcTOcTOcSOcROcQOcPOcOOcOOc\ NOcMNcLNcKNcKNcJNdPVeUWfUXgUYhUZic_jc`kcalcbmccmcc\ mccmccmmcmmcmmcmmcmmcmmcmmcmmcmzcmzcmzcmzcmzcmzcmz\ cmzcmzcmzcmzcmzcmzcmzcmzcmzcmzcmzcmzcmzcmzcmzcmzcm\ zcmzcmzcmzcmzcmzcmzcmzcmz } END PARAMETER FILE=========================================

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FOTD 25-02-14 (Tree in Isolation [A-6,M-5])
by Jim Muth 26 Feb '14

26 Feb '14

FOTD -- February 25, 2014 (Rating A-6,M-5) Fractal visionaries and enthusiasts: Today's image is a scene just east of a minor minibrot complex on the negative X-axis complex of the Z^(2.001)+C Mandeloid. In my opinion, the art rates a 6 and the math rates a 5, making the image barely worth the 2-1/2 minutes needed to calculate it. The name "Tree in Isolation" refers to the large reddish feature near the center, which for a moment reminded me of a tree. Avoid the calculation by checking the FOTD web sites. The finished image is posted 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> A mix of sun and clouds with a temperature of 30F -1C graced Fractal Central today, while the fractal cats and humans made the most of things. The next FOTD will be posted in about 24 hours. Until next time, take care, and think wisely. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Tree_in_Isolation { ; time=0:02:30.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=slices.frm formulaname=MandelbrotN passes=1 center-mag=-1.622435523351883/+0.00000042081681904\ /5638986/1/10.75/0 params=2.001/0/0/0/0/0 float=y maxiter=1800 inside=0 logmap=219 periodicity=6 colors=00000K00K00K00K00K00K00K00K00K00K00K00K00K0\ 0K00K00K00K00K00K10K10K10K20K20K20K30K30K30K40K40K\ 40K50K50K50K60K60K70K70K70K70K70K70K70K70K70K70K70\ K70K70L70M70N70O70P71Q72R93SA4TB5UC6VD7WE8XF9YHAZI\ AZJAZKAZLAZMAZNA_OA`QAbRAdSAeTAgUAiVAkWAmWAoXAnYAm\ ZAl_Ak`Ak`AjaAibAhcAhdAgeAfeAefAegAdhAciAbiAbgAZeA\ VcARaAN_AJYAFWABUA7RA1TA4UA6VA8WAAXACYAEZ9G_AJ`BLa\ CNbDPcERdFTeGVfHXgI_hJaiKcmLerMgvNizOkzPmzUsyZxzcz\ VIcIBTGAUFAVEAWDAXCAYAAZ9A_8A`7Aa6Ab5Ab7Ba9C`AE_AG\ ZAIRAKRAMRAOQAQQASPAUPAWOAYOA_IAaOAcUBcZ8bU6aQ3`L1\ _HYZYVYZTXZRWZPV_NU_LT_JS_IRaHQbHQdGSeFUgFVhEXjEYk\ D_mCcnChrBmvArzAwz9rv9or8jm8ch8Xc8SZ7OU7JP7FL7AF54\ 976A88B9ACABCCDDDFEEHEFIFGKGIMGJOHKPILRIMTJOVKPWKQ\ YLR_MS`MKRPCIRJQ_PXgVco`jwbgtcerdcpeanf_lhYiiWgjUe\ kSclQamR`nS_nTZoUYoUXpVWpWVqXVqYUrYTrZSs_Rs`QtaPze\ QtaPoYPiUPdRPZNPUJOOGOJCO } frm:MandelbrotN {; Jim Muth b=p1, z=p2, c=p3+pixel: z=z^(b)+c, |z| <= 16 } END PARAMETER FILE=========================================

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MOTD 250214 Mama´s Paintingbox
by Albrechtx 25 Feb '14

25 Feb '14

HI, ; the name tells the story. A zoom into a magnet image. Maybe you like it too! ; https://www.dropbox.com/sh/oor4aap9w8ppp9j/Qj62KVIPPD ; Cheers, Albrecht

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FOTD 24-02-14 (Ants in the Fractal [A-7,M-7])
by Jim Muth 24 Feb '14

24 Feb '14

FOTD -- February 24, 2014 (Rating A-7,M-7) Fractal visionaries and enthusiasts: Today's image is a scene in an oversized parent Mandelbrot set that is just beginning to be corrupted in its depths by Z^(2.5) energies. The image lies at the edge of the infinitely divided main spike in the East Valley of the largest minibrot. The name "Ants in the Fractal" came about when for some reason I had the impression of spider webs and a colony of ants swarming through the depths of the image. The art rates a 7, mostly because I think the colors are kind of classy. The math rating of a 7 shows that the math trick is a relatively new one. The calculation time of only one minute will pass quickly once the colors become visible. And as always, calculation may be avoided entirely by checking the image on the web sites. The image is posted 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> A mix of clouds and sun with a high temperature of freezing made today typical of late February here at Fractal Central. The fractal cats enjoyed the sunny periods, but eventually became annoyed by the frequent fade-outs and decided to settle on the humans' couch. Meanwhile, the humans had another in the endless string of uneventful days. The next FOTD will be posted in the foreseeable future. Until then, take care, and it would take a space ship moving at the speed of light four years to reach the nearest star, which is four light-years away. How long would it take a ship moving at twice the speed of light to reach the same star? Jim (it might be a trick question) Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Ants_in_the_Fractl { ; time=0:01:00.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basic.frm formulaname=NewDivideBrot function=recip passes=1 center-mag=-349.3236921326195/+0.08510279962880307\ /5550/1/-175/0 params=2.5/200 float=y maxiter=1800 inside=0 logmap=75 periodicity=6 colors=000NBXOCXPDYREZTF_UGaVHcXIe_JgaMacQWeUQgWKi\ YEk_8l_3kb4pd4qf5xi5zk6zo6zr7zu7zzUAJGEcQMkUJgQGaM\ DVIBPF8JB5C7263zzcPT09gY4MHPkaKcVGWPCOJ8GC486ILfFI\ `DFWBDQ9AL67G45A225TcNLUHbKBnA5z4rj3dV2RF1DfKW_HRU\ EMOBII8DC59624BlW9cQ7WL5OG3GA185KTfGOZDJSAEL69E347\ eHDZEASB8L86E54722j6Wv1xm0oe0fX0YP0QG0H808VHfQE_MC\ UH9OD7I84C426ai7Wb6RW5LQ4GJ3AD25614rd3gW2XO1MG0B8m\ 9rm7hm6_m4Rm3Im19JNvGJmDGeADm89m56z23zA7z8KL7KI6UF\ 5UC3U92U61U3Iy89c4XZgSU`NPVIKPEFI9AC45z8kZ6aS4SL3J\ E1c7UjwKVcAFK2nL1aF1PA0C5aYWXTSSPONcKJcGEcC9c84c4K\ gJG_FDcCmc96c63c3LveHlZEbSioLonPumThccWVcJccmUcIcc\ mcccmczUcccc9mcdcciUcmccqccicczUczcmzUmzcmzcmzUmzc\ mzcmzcmzmKzmKzmKzmKzmKzmKzmKzmKzm0zm0zm0zm0zm0zm0z\ m0zm0zz0zz0zz0zz0zz0zz0zz0zz0zzczzczzczzczzczzczzc\ zzczzczzczzczzczzczzczzczzczzzzzzzzzzzzzzzzzzzzzzz\ 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 23-02-14 (Elephant Star [A-6,M-5])
by Jim Muth 24 Feb '14

24 Feb '14

FOTD -- February 23, 2014 (Rating A-6,M-5) Fractal visionaries and enthusiasts: Today's curious scene lies in the parent fractal that results when the expression (-Z)^(2.5)+C is iterated. This parent resembles a M-set that is splitting apart on both its east and west sides. Today's image lies deep in an elephant star in the East Valley area of the large minibrot on the northernmost of the two main filaments, which explains the name "Elephant Star". The art rating of a 6 might be conservative. FL says the image should be rated a 7. I disagree. The math rating of a 5 however is right on the mark. Iterating negative Z, which is the only math trick, is over 20 years old. The calculation time remains a problem. 7-3/4 minutes is admittedly quite a lot to pay for an image that rates only average numbers. But here is where the web sites bring relief. Considerable time may be saved by checking the finished image 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> Today brought a mix of sun and clouds to Fractal Central, with a high temperature of 52F 11C. With the piles of ice rapidly shrinking, it actually seemed a little like spring. The fractal cats passed the day sleeping, while the fractal humans survived the disappointment of finding that one of the local antique malls had burned down since their last visit. The next FOTD will be posted when it is ready and the time is right. Until whenever, take care, and how many cats does it take to empty a full feed dish? Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Elephant_Star { ; time=0:07:45.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=slices.frm formulaname=MandelbrotMiN passes=1 center-mag=-1.4\ 21724628207/+0.223963872755/5.166166e+007/1/101.5/0 params=2.5/0/0/0/0/0 float=y maxiter=22000 passes=t inside=0 logmap=930 periodicity=6 colors=00032N32O42P52Q62R73S83T94UA4VB5WB6XB6YC6ZD\ 6_E6_D7ZD7XC7WC8UC8TC8SC8RE8QE9NF9KG9HHAGIAFJAHKAK\ KAKLAOMALOAIQAFSACUAAWAB_ACaDCcGDeJDfLEgNEiPFkRGlT\ GmVHkYHi_IgaIecEceAag6_i5Yf5Wc5U`5SY5QV4OS4MQ4KN4I\ K4GH3EE3CB3A838536339B4FI5LP6RW6Xc7bj8hq9mwAltCkqE\ jnGikIhhKgeMfbNe_OdXPcUQbRQaOR`LRbIRdFSgCSi9Sk7Tm6\ Tp5Tr4Ut3Uv2Ux2Uw9SwGQwNOwUMw`KwgIrdHnaGjZFfXEbUEZ\ RDVPCRMBNJAMP3KL7JHAIDDKEGMFJKGLIHMFIMHJNIKNJLNKNN\ MQNNTOOVOPYOR_OS`OTaPUbPWcPXePYgPTiKWkNZlPamScnUfn\ XimZklanlcqkfrkjqmhpoWoqYnsZmu_irbepeanhYkkVijSfiP\ chMUgKFfK0mKAsBSJ8WC6_6QvzGtzEozDkzBfvAbr8Ym7Xh5Vc\ 4UZ5XTAZOKaPYaEX`AhZA__Aa_AcYAfVPiT9kO9sK8oG8pICqK\ FrMJqOMpQQoSTnUXmV_kZbiadgdfehhekcelcdmcdncdocdpcd\ qcfrchsmmtmmummvmmwmmxmmymmzmzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzz } frm:MandelbrotMiN {; Jim Muth b=p1, z=p2, c=p3+pixel: z=(-z)^(b)+c, |z| <= 16 } END PARAMETER FILE=========================================

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MOTD 240214 New Magnet Variations
by Albrechtx 24 Feb '14

24 Feb '14

HI, ; it now is clear: the new type2 adds an indefinite number of possibilities to the already indefinite already existing. So what have we got now? ; The magnet variations really are beautiful and fascinating, only 1 shown today with a ManyMods inside image. I already told you about the intelligent way it adapts to other frms and surroundings. Here´s one more. ; A parfile as from now on always is included for own modifications and resolution changes. ; And sorry! A minimum change of the frm again has been programmed, but only magnet involved to be sure previous images are not altered. It´s a new country and that involves new and unknown places to explore. And that´s a thrilling game, believe me. ; https://www.dropbox.com/sh/qftckqnjw2tfv3g/FcZ1FiQmXG ; Cheers, Albrecht

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Startup Basics Typ2
by Albrechtx 23 Feb '14

23 Feb '14

HI, yesterday and today I posted some images of the new type 2 which are different from previous versions, as the basic image is independent from function 1 now and this now is available for the participating frms to use. Of course this version is added and all other images are still available. Here now is a complete set of those basic images including the parfiles. If you compare them with the previous versions you´ll notice that all (except Phoenix) are different. Here again is the first link dated feb12 again: https://www.dropbox.com/sh/82yqz36o7y07aah/fyxOhKGxac ; and this is the new link: https://www.dropbox.com/sh/qexyictnhnmjnvi/ON6JHLTiU5 ; Cheers, Albrecht

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Re: [Fractint] Yesterday´s MOTD Premiere
by Albrechtx 23 Feb '14

23 Feb '14

Hi, If ypu check the link again you´ll notice that I added a parfile - useful for recalculating to a different resolution and possibly modification. From time to time I will add parfile to earlier MOTD´s too. ; https://www.dropbox.com/sh/237cl0fnh3vvsf8/25Vx1Jg2M0 ; sorry had to repeat the message as dropbox supplied the wrong link. Cheers, Albrecht

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MOTD 220214 Premiere
by Albrechtx 23 Feb '14

23 Feb '14

HI, ; the reason for the title: since the last update - i told you - it is possible to have the basic shape independant of the first function which now is free to use for the participating frms. ; The result mostly is a new basic image with a huge number of surprising and interesting details, or simple and new structures. ; I´m just beginning to explore the possibilities, so be ready for more. ; One more thing: The frm file contans a second version: Mulktifractal:12cm. CM stands for Compatibility Mode. If an image lately fails to be recalculated possibly it can help. Tell mr and I will inform how to use it. ; https://www.dropbox.com/sh/237cl0fnh3vvsf8/25Vx1Jg2M0 ; Cheers, Albrecht

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MOTD 230214 Fractal Trip
by Albrechtx 23 Feb '14

23 Feb '14

HI, ; some more remedies against fractal boredom. The title refers to 10604.10 of course. But maybe you prefer today?s mandel decoration and the adventures of the fractal cats. Sorry, Jim! ; https://www.dropbox.com/sh/kma5maf2iseu9i2/JDftMrL1R1 Cheers, Albrcht PS: The PDF is the adjusted input screen belonging to the Multifractal_12cm frm which is the first one in the frm file. The CM function can be used against an error of the beloved windows notepad removing one line and doubled another one.

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FOTD 21-02-14 (Slowly I Turned [A-8,M-5])
by Jim Muth 23 Feb '14

23 Feb '14

FOTD -- February 21, 2014 (Rating A-8,M-5) Fractal visionaries and enthusiasts: Today's image lies deep in the February 19 image, which calculated in a few seconds. Today's image however takes a full 1-1/4 hours to calculate, a difference due almost entirely to the much slower arbitrary precision math routine. The name "Slowly I Turned" is a phrase I remember from an old comedy movie. The art rating of an 8 is due to the coloring, which took near an hour to get right. The math rating of a 5 is the Mandelbrot average. Only the most patient will choose to start the parameter file and begin waiting. But luckily, it is not necessary to run the parameter file. The finished image can be seen on the FOTD web sites. Save an hour and avoid impatience by checking the finished image 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 morning brought heavy clouds and rain to Fractal Central, but the clouds broke in the afternoon, leading to a sunny end of the day with a temperature of 46F +8C. The fractal cats slept through the sunny periods, while the fractal humans made it through another day with nothing out of the ordinary to report. The next FOTD will be posted two days from today. Until then, take care, and if it turns out that the world is not real, would it make any difference? Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Slowly_I_Turned { ; time=1:15:00.00 SF5 at 2000MHZ reset=2004 type=mandel passes=1 center-mag=-1.7864\ 3991622914440196793/1.20725951235732689e-007/4.988\ 564e+018/1/-141/0 params=0/0 float=y maxiter=14500 bailout=16 inside=0 logmap=-3129 periodicity=6 colors=33300I00I00I00I00I00I00I00I00I00I00I00I00I0\ 0I00I00J00J00J00K00K00K00L00L00L00M00M00M00N01N02N\ 03O14O25P36P47Q58Q69R79R8AS9ASABTBBTCDUEFUGHUIJUKL\ UMMW666888AAACCCEEEGGGIIIKKKMMMOOOQQQTTTVWV_a_ilrz\ tzppweeeZZZOOOFFFCBJAAAE6NK6NUJWcYclllwwwwjnFFNN6D\ c9JwCPwNUwbbwmfwwwwwwwwwwwwwwwccvwUuoUwiKwfBwwUwuc\ wscuzmpnmneaz_czT_zNXzJVzEZz9bz9hzAfzIczQdzZTgfWki\ VnnTpwXqwXnwZlwciwmfwo`wtWwmRwiNwcIwcEwhEwhKwmQcmK\ NmHGmGFmGImHJmGMmGQmHSmGWmHYmH`mGcmGgmHczJ`zL_mMZm\ PYmSYmUYmXYmYVmYUmZSm_Qm`NmbMmcLmgKmizcczcZzcWzcTz\ cOzcLzcHzcFzmCzmDzmEzmGzmGzmGzmIzmIzmJzmKzmLzmLzmM\ zmNzmNzmJzzzzzzzszzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzz } END PARAMETER FILE=========================================

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path through iterated map
by sciwise＠ihug.co.nz 22 Feb '14

22 Feb '14

Upon generating a map of an iterated function, is it then possible to read out values from that map for values of c from another function , along a unique path . 1. Generate F(z)

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Fwd: <Mike> Re: Post 20140219
by Mike Frazier 20 Feb '14

20 Feb '14

Thanks for the comments. I like these formulas because they generate fractals with a lot of variety and they aren't fussy about generating an image. Pretty much anything goes with the two (or more) terms. You can use different terms or the same one repeated and get good results. I have tried lots of combinations of terms and I like the ones with a trigonometric term mixed with a z term the best. Using a trigonometric term generates fractals that have much more intricate features. I forgot part of the equation I posted and the actual equation has an offset constant added to the pixel constant (see PAR file below). The offsets move the origin of each term so they overlap but don't sit right on top of each other. To find this fractal, I was exploring zooming into an area with the "wrong" symmetry. This fractal has z^3 as its dominant term so zooming into 3 way symmetry will always end in a z^3 minibrot. Over the past few years I have been exploring deep zooms into areas with other than the dominant symmetry. For this fractal, I zoomed into an area with two way symmetry to see what was there. In the past, I have found lots of interesting stuff when doing that and this fractal continued the pattern. You would be right if you guessed that there cannot be a minibrot at the center of the two way symmetry. In most of the cases I have looked at the fractal died out but not until you zoom far in. Once the area died out I picked an area of 3 way symmetry off to the side and zoomed into that. All of the good detail along the way was "copied" into the zoom of the 3 way symmetry. The fractal I posted was one of the nice areas along the way. I originally didn't post the PAR file because the image is a deep zoom and needs arbitrary precision math for a formula type that is not available in FractInt. Zooming out until the depth is compatible with double precision allows FractInt to be able to generate the fractal. Here is an image of the two way feature I zoomed into and a FractInt compatible PAR file with the exact equation. You can zoom out more if you want to see the parent fractal. Here is a link to an image: http://dl.dropboxusercontent.com/u/33642054/image/post_20140219_zout.jpg The Fractint compatible PAR file for the image is: 20140219_zout { ; Exported from Fracton. reset=2004 type=formula formulafile=fracton.frm formulaname=F_20140220_0805 passes=1 float=y center-mag=-0.1900505137602805/-1e-51/44246396.029\ 66739/1/0/0 params=-1/1/0/3/-1/0/1/0/0/0 maxiter=2000 inside=0 periodicity=6 colors=0000000000000000000000000000000000000000000\ 000000000000000000900J20V40d40n6cze0q70g60W30M30C2\ 00007D0FR0Of8at4_s0Nc0FQ06C302F0BT0Nf0YtCls6ie0ZS0\ ME0C00007D0FR0Of8at4_s0Nc0FQ06C302F0BT0Nf0YtCls6ie\ 0ZS0ME0C00007D0FR0Of8at4_s0Nc0FQ06C302F0BT0Nf0YtCl\ s6ie0ZS0ME0C00000000000000000000000000000000000000\ 00000000000000000000000000000000000000000000000000\ 00000000000000000000000000000000000000000000000000\ 00000000000000000000000000000000000000000000000000\ 00000000000000000000000000000000000000000000000000\ 00000000000000000000000000000000000000000000000000\ 00000000000000000000000000000000000000000000000000\ 00000000000000000000000000000000000000000000000000\ 00000000000000000000000000000000000000000000000000\ 00000000000000000000000000000000000000000000000000\ 0000000000000000000000000 } frm:F_20140220_0805 { ; Similar to the parallel resistance formula a=real(p1),b=real(p2),d=imag(p1),f=imag(p2), z=0,c1=pixel-p3,c2=pixel-p4: z=1/(1/(a*z*(cos(z)-1)+c1)+1/(d*(z^f)+c2)), |z|<100 } -- Mike Frazier www.fracton.org

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FOTD 20-02-14 (A New Orientation [A-5,M-7])
by Jim Muth 20 Feb '14

20 Feb '14

FOTD -- February 20, 2014 (Rating A-5,M-7) Fractal visionaries and enthusiasts: Today's image shows the same scene and uses the same color palette as yesterday's image, yet it appears totally different. The reason is that today's image is sliced through the Julibrot at a different angle. And while yesterday's image calculated in 10 seconds, today's takes 5-1/4 minutes to finish. This time difference is a result of the high speed of the mandel formula hard-coded in Fractint. As is usually the case with images sliced at such odd angles, I needed to stretch and skew the image to bring it to reasonable proportions. I re-used the same color palette to keep track of the elements common to both images. The artistic aspect rates only a 5. The stretched and tortured features are really not all that attractive. The math aspect however is worth a 7, up four points from yesterday's lowly 3. The four dimensional nature of the Julibrot plays a great part in the math rating of today's image. The calculation time of 5-1/4 minutes is slow by any standards, but visiting the web sites will eliminate the calculation wait. The finished image is or soon will be posted 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> A mix of sun and clouds with a high temperature of 48F +9C made today feel like spring despite the huge piles of snow still lying around. The fractal cats took advantage of the sun when it was shining, then got into a tussle that grew a bit too heated. The fractal humans watched the olympic ice skating, but became only mildly disappointed when the U.S. (in the opinion of many, the greatest nation on earth), failed to win a medal. Unless something unexpected happens, the next FOTD, which is already in the bag, will be posted in 24 hours . Until next time, take care, and is there such a thing as a real illusion? Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= A_New_Orientation { ; time=0:05:15.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=SliceJulibrot4 center-mag=-0.000000000\ 00429617/+0.00000000000046497/1.427789e+012/\ 0.02601/6.40410471357221045/70.6951562808555707 params=-105.18/-176.87/37.25/8.91/-1.7864399162298\ 41/1.20723576e-007/-1.786439916229841/1.20723576e-\ 007/2/0 float=y maxiter=6400 inside=0 logmap=-893 periodicity=0 mathtolerance=0.05/1 colors=00000C00C00D00D00E00F00G10H20I30J40K50L60M7\ 0O81Q92SA3TB4UC5VE6WF7YG8_H9aICcNFeTHgZKicNmiQroTv\ tVzKHePIaUJYZKUcLRhLNmPJrUGvZCzc8zh5z0Dc6KP8DDA70C\ 14G58K8BOCFRFJVIMZMQbPTeSWbOY`K_YHaWDcUAVP9NL8FH77\ D66A960C6AF5FI5KK5PN4UQ4ZT4cV5eY6g`7hb8je9lhAmjBom\ CrpCwrLzzHcxDUv9Kt5Cs8FqAHpCJnFLmHNlJQjMSiOUhQWfTY\ eV`cXbb_daaffchmejzbhm`ffZd`WbaU`aSZbPXcNVdLTdIReG\ PfENgCMgELeGLdIKcJKaLK`NJ_OJYQIXSIWTIUVHTXHSYHRVOS\ SVSQ`TNgTLmUItUGzUHxVHwVHuVItVIsVIqVJpVJnWJmWKlWKj\ WKiWLgWLfWLeWTc1WcBYcK_cTbcbdckfctgcthcsictjcukcvm\ cwncxocypczqczrczscztczuczvczwczxczzczzczzczzczzcz\ zczzczzczzczzczzczzczzczzczzczzczymzzmzzmzzmzzmzzm\ zzmzzmzzmzzmzzmzzmzzmzzmzzmzzmzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzz } 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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MOTD 200214 Triple Unty
by Albrechtx 20 Feb '14

20 Feb '14

HI, ; The frm I use most is the ManyMods. One of the reasons is the versatility. In an almost intelligent way it adapts to different settings and other frms. Only 2 examples Space Station 160214 and Two Kinds of structures 180214 and many more. It came to life in a collaboration between Sylvie Gallet and Linda Allison. In today´s MOTD it adapts to the Newton frm in an also intelligent way; There are 3 different images which only change the number of elements for a half circle, 3, 7, 32. The images look entirely different although the basic shape is the same. For 7531_b1 there is an alternative coloring which can make you shiver. ; https://www.dropbox.com/sh/ti0cbisn08yg9ix/sndHfvqKqZ ; Cheers, Albrecht

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Re: [Fractint] Two Worlds
by Albrechtx 20 Feb '14

20 Feb '14

Am 20.02.2014 08:21, schrieb Hal Lane: > Each of the very different areas of the images appeared > to be constrained to have colors from different halves > of the color map (with minor exceptions)! In fact, it > would almost appear that many of the minor exceptions > of pixels coming from the "wrong" half of the color map > in 26054-04.GIF have had their color "hand adjusted" in > the color map to black in 26054-14.GIF, to more clearly > separate the two different-looking areas of the image. > > > Am I correct in this analysis, Albrecht? <---<< > yes, of course I do no "handadjusting" of colormaps, it maybe due to the soft transitions of this colormap. 20654-14 was added later and had different settings. The colormap is sgg008, one of Sylvie?s masterpieces I think. ; Also, when you said: >> >...hardcoding of the borders... > are you referring to: > - changing statements or values in the formula code, or to > - adjusting parameter values read in by the formula, or to > - changing color map values to more carefully separate > the two different type of areas in the image? <---<< I?m referring to my border system - a third way to terminate a part of the image besides bailout and maxiter. As there were no reactions to my explanation of the warp system I dont think it makes sense to explain it here. ; Albrecht

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Re: [Fractint] MOTD 1130214 Two Worlds
by Hal Lane 20 Feb '14

20 Feb '14

Albrecht, In your post (below) when you say: > ...To have the outside and the inside of a mandel > completely and clearly in different colors:... do you mean that each of the very different areas of the images 26054-14.GIF and 26054-04.GIF (at your DropBox link below) are constrained to use a different (separate) portion of their color maps? Hmmm. I may have just answered my own question... I "R"estored 26054-14.GIF and 26054-04.GIF in Fractint and invoked the color "E"ditor and looked at the colors in the images. Each of the very different areas of the images appeared to be constrained to have colors from different halves of the color map (with minor exceptions)! In fact, it would almost appear that many of the minor exceptions of pixels coming from the "wrong" half of the color map in 26054-04.GIF have had their color "hand adjusted" in the color map to black in 26054-14.GIF, to more clearly separate the two different-looking areas of the image. Am I correct in this analysis, Albrecht? <---<< Also, when you said: > ...hardcoding of the borders... are you referring to: - changing statements or values in the formula code, or to - adjusting parameter values read in by the formula, or to - changing color map values to more carefully separate the two different type of areas in the image? <---<< - Hal Lane ######################## # hallane(a)earthlink.net ######################## -------------------------------------------------------- Author: Albrechtx Date: 2014-02-13 13:47 -500 To: Fractint and General Fractals Discussion Subject: [Fractint] MOTD 1130214 Two Worlds HI, ; before I started I knew that it would be a difficult task.: To have the outside and the inside of a mandel completely and clearly separated and in different colors: Two different worlds! This involves hardcoding of the borders, - the contour of the mandel - which is more or less a matter of try and error. ; But as you can see I succeeded and it has become a beautiful image! ; https://www.dropbox.com/sh/8mew4zq3u8904u7/XW4A5snwYP ; Cheers, Albrecht ----------------------- --- This email is free from viruses and malware because avast! Antivirus protection is active. http://www.avast.com

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Re: [Fractint] 2914929
by Albrechtx 20 Feb '14

20 Feb '14

HI, ; I like this formula, it looks similar to ManyMods I´m using for my software but it has more deep zooming power and better details. Mike, sorry if I have not quoted the name correctly in the parfile. The link replaces the link in my reply to Hal. ; https://www.dropbox.com/sh/vctktfz0d72sr0t/GWJDJr8Aqe ; Cheers, Albrecht

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Invitation to connect on LinkedIn
by John Wilson 20 Feb '14

20 Feb '14

LinkedIn ------------ Fractint, I'd like to add you to my professional network on LinkedIn. - John John Wilson Retiree Vancouver, Canada Area Confirm that you know John Wilson: https://www.linkedin.com/e/-yo2s9j-hrtypex0-56/isd/20219167706/W0HE--e-/?hs… -- You are receiving Invitation to Connect emails. Click to unsubscribe: http://www.linkedin.com/e/-yo2s9j-hrtypex0-56/d6Kc1otLyJrh4CMMwYyQJN8GeK03x… (c) 2012 LinkedIn Corporation. 2029 Stierlin Ct, Mountain View, CA 94043, USA.

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<Mike> Re: Post 20140219
by Hal Lane 20 Feb '14

20 Feb '14

Mike, > ...this image has a very prominent 6 way symmetry... > [which] ...eventually breaks down and returns to 3 way... There are some blue 3-sided figures in each of the 6 blue "arms" of the large 6-sided snow crystal-like figure, too. There are also 6 small, dark "heads" between each of the 6 blue "arms" that look a bit like the head of the figure in the painting "The Scream". A very nice winter fractal... What does the parent fractal look like? <---<< - Hal Lane ######################## # hallane(a)earthlink.net ######################## ---------------------------------------------------- Author: Mike Frazier Date: 2014-02-19 18:16 -500 To: Fractint and General Fractals Discussion Subject: [Fractint] Post 20140219 This fractal is a parallel resistor formula of the following equation: z = 1 / (1 / (z * (cos(z) - 1) - pixel) + 1 / (z ^ 3 + pixel)) The dominant z term is z^3 so it should have 3 way symmetry but this image has a very prominent 6 way symmetry. I zoomed into the center and the 6 way symmetry eventually breaks down and returns to 3 way and ends in a normal z^3 minibrot. The fractal is a deep zoom at a magnification of about 1e21 so I won't post the PAR file. Here is a link to an image: http://dl.dropboxusercontent.com/u/33642054/image/post_20140219_640_5.jpg -- Mike Frazier www.fracton.org ---------------------------------------------------- --- This email is free from viruses and malware because avast! Antivirus protection is active. http://www.avast.com

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Post 20140219
by Mike Frazier 19 Feb '14

19 Feb '14

This fractal is a parallel resistor formula of the following equation: z = 1 / (1 / (z * (cos(z) - 1) - pixel) + 1 / (z ^ 3 + pixel)) The dominant z term is z^3 so it should have 3 way symmetry but this image has a very prominent 6 way symmetry. I zoomed into the center and the 6 way symmetry eventually breaks down and returns to 3 way and ends in a normal z^3 minibrot. The fractal is a deep zoom at a magnification of about 1e21 so I won't post the PAR file. Here is a link to an image: http://dl.dropboxusercontent.com/u/33642054/image/post_20140219_640_5.jpg -- Mike Frazier www.fracton.org

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FOTD 19-02-14 (A Mandelbrot Scene [A-8,M-3])
by Jim Muth 19 Feb '14

19 Feb '14

FOTD -- February 19, 2014 (Rating A-8,M-3) Fractal visionaries and enthusiasts: Today we return to the first parent fractal I ever saw on a computer screen. It is still probably the richest and most widely explored fractal of all time, a statement backed up by today's image. The math rating of a lowly 3 may at first appear disappointing, but actually it indicates that the formula behind the image is the most widely used and totally familiar fractal formula of all, Z^2+C, the formula that creates the most familiar of all fractals, the Mandelbrot set. The image lies on a filament in the northast outskirts if a tiny minibrot on the X-axis just beyond the large minibrot on the main spike of the M-set. The name "A Mandelbrot Scene" needs no explanation My deep humility prevents me from rating the art aspect at a 9. The actual art rating of an 8 seems much closer to the mark. Regardless, there is easily enough interest in the image to justify the measly 10 seconds required to finish the calculation. The image is posted already calculated 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 snow, sleet and freezing rain here at Fractal Central. The rain ended before noon, leading to a partly cloudy afternoon with a temperature of 43F +6C, which is the warmest day in almost a month. The fractal cats ignored the break in the weather and spent the afternoon sleeping. The fractal he-man lucked out when the sun appeared and melted the ice on the sidewalk without human intervention. The coffee was still highly appreciated however. The next FOTD will be posted most likely in 24 hours. Until then, take care, and whatever the problem, higher technology will save the day. And if I actually believed this, I would not be repeating it so often. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= A_Mandelbrot_Scene { ; time=0:00:10.00 SF5 at 2000MHZ reset=2004 type=mandel center-mag=-1.7864399162298\ 41/+0.00000012072335758/2.557824e+011/1/-83.75/0 params=0/0 float=y maxiter=6400 bailout=16 inside=0 logmap=-893 periodicity=6 colors=00000C00C00D00D00E00F00G10H20I30J40K50L60M7\ 0O81Q92SA3TB4UC5VE6WF7YG8_H9aICcNFeTHgZKicNmiQroTv\ tVzKHePIaUJYZKUcLRhLNmPJrUGvZCzc8zh5z0Dc6KP8DDA70C\ 14G58K8BOCFRFJVIMZMQbPTeSWbOY`K_YHaWDcUAVP9NL8FH77\ D66A960C6AF5FI5KK5PN4UQ4ZT4cV5eY6g`7hb8je9lhAmjBom\ CrpCwrLzzHcxDUv9Kt5Cs8FqAHpCJnFLmHNlJQjMSiOUhQWfTY\ eV`cXbb_daaffchmejzbhm`ffZd`WbaU`aSZbPXcNVdLTdIReG\ PfENgCMgELeGLdIKcJKaLK`NJ_OJYQIXSIWTIUVHTXHSYHRVOS\ SVSQ`TNgTLmUItUGzUHxVHwVHuVItVIsVIqVJpVJnWJmWKlWKj\ WKiWLgWLfWLeWTc1WcBYcK_cTbcbdckfctgcthcsictjcukcvm\ cwncxocypczqczrczscztczuczvczwczxczzczzczzczzczzcz\ zczzczzczzczzczzczzczzczzczzczzczymzzmzzmzzmzzmzzm\ zzmzzmzzmzzmzzmzzmzzmzzmzzmzzmzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzz } END PARAMETER FILE=========================================

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Re MOTD´s
by Albrechtx 19 Feb '14

19 Feb '14

HI, ; due to no feedback I dont know is some users have difficulties loading and recalculating the images. They are in 1280/1024 reso which is available on most systems, but if you have 1024/768 or 1600/1200 recalculation is due. I can´t solve a problem I dont know of, so please dont hesitate. I´ve been asked to add parfiles to the links which support that and they can be edited too. ; cheers, Albrecht

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FOTD 18-02-14 (Arc of Destruction [A-6,M-8])
by Jim Muth 19 Feb '14

19 Feb '14

FOTD -- February 18, 2014 (Rating A-6,M-8) Fractal visionaries and enthusiasts: Today's image is not nearly as threatening as its name implies. The "Arc of Destruction" is the arc of evaporation that is advancing from the southeast and has been caught in the process of devouring the central minibrot. The position of the arc is determined by the value of the imag(p3) parameter, which sets the escape radius. Increasing the value moves the arc to the left, devouring more of the minibrot; decreasing it moves the arc to the right, restoring some of the already devoured stuff. The art aspect of the image is worth only an average 6. The math aspect rates an excellent 8. These arcs of evaporation are one of the more interesting fractal things I have yet stumbled upon. Perhaps the best aspect of the image is its fireball calculation time of a mere 20 seconds. The parameter file must first be set up however, but even this may be eliminated by checking the FOTD web sites. So avoid un-needed stress. The finished image is posted 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> The day began with light snow. By the time it ended around noon, a fresh 2 inches, 5cm, of snow covered the ground. This amount is nothing, and was cleared away with a broom in 15 minutes, while the fractal cats watched and supervised from their shelf in the window. The fractal he-man complained of an ache in the back, while FL listened with sympathy. The next FOTD will be posted in a matter of hours. The big mystery is the exact number of hours. Until whenever, take care, and how can you tell a conservative from a liberal? Conservatives prefer dogs, who obediently follow orders; liberals choose cats, who do what they please. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Arc_of_Destruction { ; time=0:00:20.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=MandAutoCritInZ function=recip passes=1 center-mag=3.66306/-3.20101/0.9066554/1/-161/0 params=-1/-6.6/-3/-1.6/0/1050000000/0/0 float=y maxiter=1000 inside=255 logmap=9 periodicity=6 colors=000M8FK4DO7GS9IWBL_DNbFPePKgZGMcc0gz9bmHZ`P\ UOXQCaUBfYAj`9od8th7xk7sdBnZEiTHdNL_HOVBRR5UNEPKMK\ HVFEbABk58s1Fp5Mm9TjD_hGEXgIXiMXjQXlUXmYXnaXpeXqiX\ rkoYifXhZXgQWfIWe9Vd1Vg3Qi4Ll5Gn6Bq76s82jLLaYcTjuR\ PiP3ZJKUD`PJWOPSNUNM_JLdEKjAJo6JeTWWnhYeeZYc_Q``HZ\ a9Wb1UYCQUNNQYKMgHajKUkLNkLGkM9kM2kM6mPAnRDpUHqWLs\ ZOt`Lo_Ik_FfZCbZJXaQSdXNgcHjjCmq7pw2rw9jwFbwLVwRNw\ XGoVHhUH`SIURIQRHMRGIRFERFATC7U94V7BnYpqbmsUjtMhuE\ klLndSpXZsPeuHlx9sz1zqBthKn`UiSbcJlYBuTMsUWqUfoVpm\ VzkVpgXgcZY_`PWbFSd6Pe5Ud4Yc3bb3fa2k`1o_1s_3qa4ob6\ nd7le9kgAihBhiDkdFm_GpVIrQJuLLwGMyCLtGKpJJlMJhPGeO\ DbOB_O8XN5UN3SN8RRDRVIQZNQbSQfXPjaPnePrdQpdQndQldQ\ kdQidQgdQedQdYX_RcWLjREqN8wJHnPQeVZY_gPepGky8pnJjd\ Ue`ZgXciUhkQlmNqoJvqGzrQmm_ahhQcbPdYOdTNeOMeILeDKf\ 8Jf3If4Ld5Nb6Pa6S_7UZ8WX8YWEXUJWSOVQUUOZTMcTKdULeU\ MfVNgVOhWPiWQjXRkXSODI000 } 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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(no subject)
by info＠hotmail.com 18 Feb '14

18 Feb '14

---------------------------------------------------------------- Este mensaje ha sido enviado desde https://webmail.unav.es

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<Jim>Repeated magenta bands in FOTD for Feb 16th, 2014
by Hal Lane 18 Feb '14

18 Feb '14

Jim, In your FOTD for Feb 16th, 2014 I thought that the repeated magenta bands might have been created by carefully repeating short identical runs in the color map. Not so! Investigation with Fractint's color editor showed that it was the fractal itself creating the magenta and gray banding in the 16 slanting arms. - Hal Lane ######################## # hallane(a)earthlink.net ######################## --- This email is free from viruses and malware because avast! Antivirus protection is active. http://www.avast.com

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MOTD 180214 Two Kinds of Structures
by Albrechtx 18 Feb '14

18 Feb '14

HI, ; after some unsuccessful tries I succeeded to recalculate this image from MFR10. I love it because of the way the geometric structures of the ManyMods part are adapting to the organic Mandel strucures. ; https://www.dropbox.com/sh/ggr8r5i4776bvft/4hkoTIK2sp ; Albrecht

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Bubble Links
by Mike Frazier 18 Feb '14

18 Feb '14

This fractal is a cosine based parallel resistor formula with a z^3 minimum z term. It has 3 way symmetry and a lot of thin filaments that look kind of like bubbles. Here is a link to an image: http://dl.dropboxusercontent.com/u/33642054/image/bubble_links.jpg The Fractint compatible PAR file for the image is: Bubble_Links { ; Exported from Fracton. reset=2004 type=formula formulafile=fracton.frm formulaname=F_20140217_1620 passes=1 float=y center-mag=-0.7027677552871285/0/1520405.599721868\ /1/0/0 params=-1/1/0/4/-1.5/0/1.5/0/0/0 maxiter=2000 inside=0 periodicity=6 colors=0BE0NZ0ZsDgzYozlrzSaz7Lz0Cl07T0BE0NZ0ZsDgzY\ ozlrzSaz7Lz0Cl07TA0ES0Yi0qrDxuYxxlwxSqx7kh0YN0H0BE\ 0NZ0ZsDgzYozlrzSaz7Lz0Cl07TA0ES0Yi0qrDxuYxxlwxSqx7\ kh0YN0H0BE0NZ0ZsDgzYozlrzSaz7Lz0Cl07TA0ES0Yi0qrDxu\ YxxlwxSqx7kh0YN0H0BE0JS0Vl6dzRlzktzelzLWz0Fy0Be06M\ A0ES0Yi0qrDxuYxxlwxSqx7kh0YN0H0BE0JS0Vl6dzRlzktzel\ zLWz0Fy0Be06M0BE0JS0Vl6dzRlzktzelzLWz0Fy0Be06M0BE0\ JS0Vl6dzRlzktzelzLWz0Fy0Be06M0BE0JS0Vl6dzRlzktzelz\ LWz0Fy0Be06M0BE0JS0Vl6dzRlzktzelzLWz0Fy0Be06M0BE0J\ S0Vl6dzRlzktzelzLWz0Fy0Be06M0BE0JS0Vl6dzRlzktzelzL\ Wz0Fy0Be06M000000000000000000000000000000000000000\ 00000000000000000000000000000000000000000000000000\ 00000000000000000000000000000000000000000000000000\ 00000000000000000000000000000000000000000000000000\ 00000000000000000000000000000000000000000000000000\ 0000000000000000000000000 } frm:F_20140217_1620 { ; Exported from Fracton. ; Similar to the parallel resistance formula a=real(p1),b=real(p2),d=imag(p1),f=imag(p2), z=0,c1=pixel-p3,c2=pixel-p4: z=1/(1/(a*z*(cos(z)-1)+c1)+1/(d*(z^f)+c2)), |z|<100 } -- Mike Frazier www.fracton.org

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FOTD 17-02-14 (The Holy Trinity [A-7,M-7])
by Jim Muth 17 Feb '14

17 Feb '14

FOTD -- February 17, 2013 (Rating A-7,M-7) Fractal visionaries and enthusiasts: Today's image is named "The Holy Trinity". This has nothing to do with religion, where the Holy Trinity refers to the three aspects of one god. It refers to the three obvious minibrots hidden deeper in the image, which are a sign that the scene lies in the basin of attraction of a larger minibrot that in turn lies in the basin of the parent fractal. The parent fractal came into being when I combined 1 negative part of Z^(-7.7) with 7 negative parts of Z^(-1.1) and added (1/C). This parent is a grossly oversized and quite complex thing consisting of a scattering of oddly shaped bays with fila- ments extending from them and terminating in circles. Today's scene lies in a circle southwest of the main field of fractal activity. The circular theme shows quite strongly in the closed yellow elements surrounding the trinity. The art and math aspects of the image both rate a 7. I'm not sure if this rating justifies the 5-1/2 minutes required to run the parameter file, but the FOTD web sites are always ready to deliver fractal calculation justice. Find justice where it is least expected. Check the finished image 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 near total sun today here at Fractal Central was pleasant enough, but the temperature at sunrise was a very chilly +1F -17C, and rose no higher in the afternoon than 25F -4C. The fractal icicles have now grown to nearly 2 meters long and continue growing. We still have a way to go however if we hope to set a local record. Some nearby icicles hang over 4 meters long. The fractal cats are not concerned with ice. What they want is more food. The fractal humans are preparing to clear away the next snow, which is expected tomorrow morning. The next FOTD will be posted in 24 hours. Until then, take care, and be assured, the climate is changing. This is what climate does when greenhouse gasses are added to the atmosphere. The solution is to find a renewable and non-polluting energy source that does not harm the environment or stifle the economy with higher energy prices, as wind and solar energy would do. Fusion energy is years away if it will ever arrive at all, so do any concerned environmentalists have any world-saving ideas? Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= The_Holy_Trinity { ; time=0:05:30.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=MandAutoCritInZ function=recip passes=1 center-mag=-12.0649323747913/+5.188179127275399/\ 1.04e+011/1/-11.62/0 params=-1/-7.7/-7/-1.1/0/0/0/0 float=y maxiter=750 inside=0 logmap=434 periodicity=6 mathtolerance=0.05/1 colors=00038F49G5AH69I7CJ8FK9IMALOBOQCRSDUUGXWJ_TN\ bQPeMShJVkGYnD`r9cu6fx3hz0iv1is2io3gl3ei4cg5ad5_bI\ Y_FWXDUUARR8OO5LL3IJ6FI9BGB8FE6FG6CJ7DM89O9ERAFTBG\ WBLYAKZARcAShKdmPVqXnzZezcyzclzczzctzcxzZrrUtmPpcK\ ogEkjGhfHebKbcN_dQXeTUfWRgZOhaLidIjgFkjCll9mo6nn5p\ o5qk4mk4sh4he4Zd4iY4_`4cRADNGLSMUYSacYjhbricpicnic\ lidjidhidfiediebke`mfZofXqfVsgTzgRrgQmfSheUhdWhcYg\ b_gbagacg`ef_gfZifYkfYmcZkaZiZZhXZfV_eS_cQ_bN_`L`_\ J`YG`XE`VC`UFbSHdRJeQMgOOiNQjMTlKVmJXoI_qGarFctEfv\ ChwBjyAlz9P`I2BR6DOAELEFIIGGLHDPIATJ8XK5`L2cM0cM0i\ T3n_6sf9viQxlermalmYfnU`nRZjPXgOVdMTaLRZJPWINTGLQF\ JNDHKCGHB2i83h93g94f94f94e95d95c95c96b96a96`97`97_\ 97ZA8ZA8YA8XA9WA9WA9VAAUAATAATABSABRABQACQACPBCOBD\ OBDNBDMBIQTKOUMMVOKWQIXSHYUFZWD_YB`_9aa8abDbcHcdMc\ eQdfVegZehcfiggjlgQH7RE4SG9TIEUKJVMOWOTXPXYRaZTf_V\ k`XpaZua_y`ax`cx`ex_fxl9i } 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 16-02-14 (Real or Unreal [A-7,M-6])
by Jim Muth 17 Feb '14

17 Feb '14

FOTD -- February 16, 2014 (Rating A-7,M-6) Fractal visionaries and enthusiasts: Today's fractal shows some of the nonsense that results when 4.5 parts of Z(-3) are combined with 9 parts of Z(-1.5) and (1/C) is added. The resulting parent fractal consists of a large bay shaped like a lima bean, with lacy wings extending northwest and southwest from the bay. Today's image is located on a minor filament near the eastern extremity of the large bay. The art rating of a 7 and math rating of a 6 will earn no medals, but these ratings will make the image an acceptable 'also ran'. The name 'Real or Unreal" came about when I was overcome by a spate of philosophizing about the nature of fractals. It has little to do with today's particular image. The calculation time of 1-2/3 minutes is near average. Check the FOTD web sites for a better deal. The image is posted for public admiration 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> Today was chilly here at Fractal Central, with variable amounts of clouds and a high temperature of 25F -4C. These conditions are ideal for keeping cats happy with their cozy indoor lives, which might explain why the fractal cats seemed unusually happy all day. The fractal people, never totally happy, passed the day pondering the mysteries of life. The next FOTD will be created and posted probably in 24 hours. Until the next FOTD appears, take care, and instead of trying to make ghosts acceptable by demonstrating that they are real, let's agree with the scientists who imply that the objective physical world is a mental construct. Both approaches make ghosts acceptable by considering them to be just as real or as unreal as the world we appear to see around us. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Real_or_Unreal { ; time=0:01:40.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=MandAutoCritInZ function=recip passes=1 center-mag=+1.179344023051262/+0.3795996886752721/\ 3.01722e+008/1/122.5/0 params=4.5/-3/9/-1.5/0/0/0/0 float=y maxiter=1050 inside=0 outside=tdis periodicity=6 colors=000bhheghgghjghlfhoghqfhsghpefnddlbbiaag__e\ ZYbXX`VVZUTXURUUQScOQcMNcLLmJJmHHmFEzECzCAzA7z95z7\ 3z50c42c72cA3cD3cG4cJ4cM5cP5cR6cU6cX7d_7gb8ke8nh9r\ k9umBsnDqnFooGmoIkpKipMgqNfqPdrRbrT`sUZsWXtYVtZUtb\ QYeMBdODdPFcQHcRJcSLbTNbUPbVRaWTaXVaYW`_Y``__aa_bc\ _ceZdgZeiZfkYgmYhoYipWhoVhnUgmTglSfkRfjQeiPehOegNd\ fMdeKcdJccIbbHbaGb`Fa_EaZD`YC`XB_WA_V9_U8WX8S_7Ob7\ Ld7Hg6Dj69m66o89m9ClAFjBIiCKgENfFQeGTcHVbIY`J`_LcZ\ MeXNhWOkUPnTQpSSlUThWVeYWaZYY`ZVb`RdaNecKgdGifCkg9\ lh8mh8mh7ni7ni7oi6oj6pj5pj5qk5qk4rk4rl4sl3sl3tm2tm\ 2um2un1v2Yv3Zv4_t5`r6ap7bk8cj9ehAgfAhaDibGicHicHjc\ GjYDiYChX5hV4hT0hS5hT9iUDjVIkWMlXSmYWnZZo_`p`bpabo\ ban_`kYXgVSdTNaQJYOEVLASJBQICPHDOHDMGELGFKFFJFGHEH\ GDIFDIDCIBCH9BF7BE49D27C16B04C03E02F02J04L06O07Q19\ U2AV3CX5DY6F`7Ga8Ib9JcALeCNfDOgEQhFRjGTkHUlJWmKXoL\ ZpM_qNarOboQZmRWWjhZih`ih } 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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MOTD 160214 Space Station
by Albrechtx 16 Feb '14

16 Feb '14

HI, just an image I like. ; Please exchange thr frm, a small change was necessary for the hopefully soon coming input screen. ; https://www.dropbox.com/sh/80ysyowof8a9c03/Dg5M_wEpOQ ; Cheers, Albrecht

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FOTD 15-02-14 (Loch Mandy Monster [A-6,M-5])
by Jim Muth 15 Feb '14

15 Feb '14

FOTD -- February 15, 2014 (Rating A-6,M-5) Fractal visionaries and enthusiasts: Today's image was done in haste, and it shows in the erratic coloring, which holds the art rating to a 6. The math trick is so old that I could rate it no higher than a 5. The name "Loch Mandy Monster" came to mind when I noticed that the eight small open areas surrounding the central minibrot are shaped quite like the monsters that people sometimes claim to have seen swimming in Loch Ness as well as in other long thin lakes that were once arms of the open sea. Being a sensible person when common sense is appropriate, I find it hard to believe that a breeding population of physical monsters could thrive and remain undetected in these lakes. As for monsters from another dimension, I have no comment. The oversized parent fractal resulted when I combined 4 parts of Z^(-1.5) with 1 part of Z^(-6) before adding (1/C) on each iteration. This parent is shaped like a violin lying on its side. Today's scene is located on a minor filament extending from a small bud on the shore line of a large critical bud at the east end of the parent fractal. The calculation time of only 45 seconds will pass in a flash and a half. Whether instant satisfaction is found when the flash subsides depends on the whim of the individual fractalist. Visiting the web sites will reduce any fractal disappointment. So avoid great disappointment. Check the finished image 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 snow here at Fractal Central. By the time it ended just after noon about 6 new inches or 15cm had piled up. The fractal he-man leaped into action as soon as the snow ended, and within an hour the sidewalk was clear. But the sidewalk now looks like a canyon, with shoulder high cliffs of snow and ice piled along both sides, totally covering FL's prize rose bushes. But now there are few places left to pile the snow, and even worse, the coffee is running low. Luckily, more coffee is available at the nearby convenience store, which never closes, but with heavy snow again expected on Monday, the only place to pile it will be on top of the present piles. The fractal cats, never ones to worry themselves over human problems, were puzzled about the strange appearance of the outer world, but soon turned their attention to play and food. The next FOTD will be posted in 24 hours, give or take a few. This is not a guarantee. With nothing else to do however, it is reasonably assured. Until then, take care, and would fractals still exist even if the so-called 'big bang' that supposedly created our universe had never happened? Jim (Why ask a stupid question?) Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Loch_Mandy_Monster { ; time=0:00:45.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=MandAutoCritInZ function=recip float=y center-mag=+1.808025176460789/+0.3512848505070288/\ 3001146/1/141.25/0 params=4/-1.5/1/-6/0/0/0/0 maxiter=1350 inside=0 logmap=31 periodicity=6 colors=0005BL9Jn9FN9JOEJPGJkJJi5JV5J85DNJJiBJSBJWA\ Jk5JNWJbiJUmJLMJDzJCzzUzzUzzUzzzzzUzzzzzUzzzWVMSPP\ PJSLDVh8Yh6nh4U_3nZ08h0nz0IzJnZ7arBnZFar7nZ0azTnZ0\ aDYeGYfJYhM_iPfjQY_QYQZYEgY2lYHqYVuYhqYWnYKjY8gY0b\ q0Yr2Ts5Os7JtAEuDAuFhugavhWwiQwjJxkDyl7ymBtgEobHhX\ KhSOhNRhHUhCXh7YhRZhjhheqha_hfbhcehahh_jhYmhVpmTsm\ RumPnmLgmI`mFUmBNm8Gm57mmOmEemPvmZqmVmmShmOden_gnW\ hnRinNjnTbnYYnbWnpYzpTzpTzpTzqTzqTzqTzqTzqczqczqcz\ qczqczqczqczqczrczrczrczrczrczrczrczrczrmzrmzrmzqm\ zrmzrmzrmzrmzrmzrmzrmzrmzrmzrmzrmzsmzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzz } 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 14-02-14 (The Mysterious East [A-8,M-7])
by Jim Muth 14 Feb '14

14 Feb '14

FOTD -- February 14, 2014 (Rating A-8,M-7) Fractal visionaries and enthusiasts: Today's FOTD image shows one of the infinity of things that happen when Z^(1.3) is subtracted from Z^(1.2) and straight C is added on each iteration. This unlikely combination creates a grossly oversized parent fractal resembling a Mandelbrot set rotated 180 degrees with flippers on the west side of its main bay. Today's image lies in the East Valley of a twisted minibrot on a filament extending from the southwest flipper. I named the image "The Mysterious East" even though it lies on the west side of its parent. The art rating of an 8 reflects the extra effort I put into the coloring. The math rating of a 7 says little about the math aspect, which by this time is totally familiar. The down side of the image is its slow calculation time, which at 6 minutes will give impatience a chance to arise and might even cause a fractalist to decide not to do the calculation at all, thereby missing the pleasure of viewing the image. But luckily, the web sites are always there to restore pleasure. Avoid the calculation and experience total pleasure by viewing the image 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 dawned with 1 foot, or 12 inches, or 30cm (make your choice) of fresh snow on the ground here at Fractal Central. After being fortified with hot coffee, the fractal he-man cleared the snow from the sidewalk, while the fractal cats watched from the window. The high temperature of 37F +3C took care of the patches the he-man missed. The next FOTD will be posted in 24 hours, but this is no guarantee. So until whenever, take care, and claiming that there is no answer to the question of the meaning of life does not make the need for an answer any less urgent. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= TheMysterious_East { ; time=0:06:00.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=MandAutoCritInZ function=ident float=y center-mag=-24.05351569280277/-43.55790391067416/\ 1.961119e+010/1/-110/0 params=1/1.2/-1/1.3/0/15000\ /0/0 maxiter=5200 inside=0 logmap=630 periodicity=6 colors=000000000100201302403514625736847958A69B7AC\ 8BD9CFADIBEKDFOEHSGIWHJ_IKbIMeJOgJPiJRjLQkNQlPQmRQ\ nTPoVQpXPqZPraOsdUtgcujmvmvwpzxszyvzzzzzzzzzzk`UNU\ qMUqfSRlRQqQPlONhMMdKK`IJXGHTEGPCFHBR9AbJ8fS6j`5ni\ 3rr2vi8naDfUKZMFREAJ65CE5BMABUKBaDBi8Bp3Bm7JjARgDZ\ dGfaJmddTegVeiWekXfmZfo_fq`hoZinYkmXllWnjVoiUqhTrg\ SphXni`ljekjiiknglrflv`hsWepRamMZkGWhBSe6Pb1M`AWeI\ djRnoZwtYssXorWkrVgqUcpT_pSWoRToQRiPQcOPYNNSMKMLIG\ KGAKD4IF8HIBGKFEJIDKMCMPHOPMMPRFPW8PP5bJ2pIDVHMAFQ\ 6DU3IULVX3UX2UX4UX6UZ8da9hbBmiDmhEmjUzbizmxzdhzznu\ fXlZGkUEkPDkKCjFBjAAj59j08l0Dm0IoEMpWRqSWsT_tcducm\ xcmucmoAmqXmn0ml0mj0mTE0Bc05Vw5UwAAqF8lK5gP3bT1YU2\ aV4dW6hW8kYAnZCq`EtaFwbKzcPvcUrdYzd_zeazeczedzdezc\ fzbgzahz`iz_jzZkzYlzZmzZnzZozZpzYqzYrzYszYtzXuzXvz\ XwzXxzWyzWzzVzzVzzUzzUzzUzzazzhzzozzmzzlzzkzzjzzhz\ zgzzfzzezzbzz`zzZzzXzzVzz } 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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MOTD 140214 Ancient Monument...
by Albrechtx 14 Feb '14

14 Feb '14

...that the weed has overgrown. The image has a crazy crosswise symmetry, which means the right half, not shown, is upside down. ; No-, I will save my superlatives - judge yourself. No zooms either - the spots are undefinite again. BUT - create your own ones and mail them - please. Thanks ; https://www.dropbox.com/sh/6s7m1a0mt2r6pjv/BiNGOewaIn ; Cheers, Albrecht

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FOTD 13-02-14 (X Marks the Minibrot [A-7,M-7])
by Jim Muth 13 Feb '14

13 Feb '14

FOTD -- February 13, 2014 (Rating A-7,M-7) Fractal visionaries and enthusiasts: Today's image exists in the parent fractal that results when 10.5 parts of Z^(-1.1) are combined with 1.2 parts of Z^(-5.5) and (1/C) is added on each iteration. This parent is a hugely oversized circular island with three large bays spaced evenly along its perimeter. The surrounding ocean is infinite. The image is located in a valley enclosing a small but curious double bud on the eastern shore line of the island. The name "X Marks the Minibrot" refers to the chunky X-shaped element almost filling the frame. The art rating of a 7 is average for a FOTD fractal. I see a certain 'forced' effect in the deep violet background, which appears just a little too artificial to give the image an above average rating. The math rating of a 7 is average for images created with the overworked MandAutoCritInZ formula. This formula has probably been the most prolific of the FOTD formulas. The calculation time of 4-1/4 minutes is slower than I would prefer. I leave it to the individual fractal fan to set up and run the parameter file, and then decide if the result was worth the effort. All risk of wasting time may be eliminated however by checking the web sites. The image has been calculated and posted for instant viewing 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 a temperature of 16F -9C and light snow here at Fractal Central. The snow turned heavy by 10am and continued until mid-afternoon, when it slacked off to a light misty snow. The temperature heached a high of exactly freezing, which would have been fair enough if there had been no snow. The fractal cats were fascinated by the snow, and spent much time in the windows, wondering why everything had turned white. The humans spent the day working and setting up for snow clearing. The next FOTD will be posted in the near future, most likely tomorrow. Until whenever, take care, and the more one thinks about the meaning of life, the less one knows. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= X_MarksTheMinibrot { ; time=0:04:15.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=MandAutoCritInZ function=recip passes=1 center-mag=+3.233638461699/-1.500873564601/2418817\ /1/-142.5/0 params=10.5/-1.1/1.2/-5.5/0/1500/0/0 float=y maxiter=2100 periodicity=6 logmap=296 colors=00000A10A20A30A40A50A50A50A50B50C50D50E50F5\ 0F50G60F60F60F70F70F70F80F80F80F90H90F90K90I90NA0O\ 80R90S60S70Q60O50M40K30I20G10E00B0080050040030020c\ 0Jt2Ls1Ns0Px3Qo6Ru9SmCTkEWgGYdI_`KbYMdUOfRQiNSkKUm\ GWoDXnEYnEZmFZmF_lG`lG`lGakHbkHbpIcjIduRdiN_waViXQ\ ziMifGwpBip6zzAkk5zq9mWDwlHoGKoZJhHIhHHaHGZHFWIESI\ DPICMIBJIBKJDLKFMKHNLJOLLPMNQMPQNRRNTSOVTOXUPZVP`W\ QbWQdSUaOY_KaXGeVCiTP9aSB`UC_XDZZEY`FXcGXeHWgIVjJU\ lKTRH7SF6SD5zJ4S93pG2S61kGAb7JgCSl8_cBVVDQXaZZyf_u\ d`rcanbbk`ch_ddZdaXeYWfVVgSThOSiLRiIQnLXkMaiNfgNkd\ Op8icAdTC`JJWGQSEWOBbJ9hF6oB4u72kH8bQDTZIKzmBrcImV\ OcYVY_`RbgLea8gmOhdNibZjpnknoflpajqXhqzfrNrszcsDqq\ zdoLemPolSfjWfh_gfcgefdaabYX_VSYRNVNITKDQG8OD4OW3O\ n2UjA_fIebPkZXpVckSafP`aMZYJYTGzODzJAzF7z7Vz0qzCcz\ Ocz_czEczGczIczKczMczOczQczRmzUmzXmz_mzamzdmzgmzim\ zczzYzzTzzNzzIzzCzz7zzFzz } 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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Today´s MOTD
by Albrechtx 13 Feb '14

13 Feb '14

HI , check the link again: two zooms, one of each world, have been added. Albrecht

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MOTD 1130214 Two Worlds
by Albrechtx 13 Feb '14

13 Feb '14

HI, ; before I started I knew that it would be a difficult task.: To have the outside and the inside of a mandel completely and clearly separated and in different colors: Two different worlds! This involves hardcoding of the borders, - the contour of the mandel - which is more or less a matter of try and error. ; But as you can see I succeeded and it has become a beautiful image! ; https://www.dropbox.com/sh/8mew4zq3u8904u7/XW4A5snwYP ; Cheers, Albrecht

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Anyone run DOS Fractint in CMD window in WinXP mode of Win7 Prof. 32-bit?
by Hal Lane 13 Feb '14

13 Feb '14

Has anyone tried to run DOS Fractint in the CMD window in the WinXP mode of Windows 7 Professional 32-bit or 64-bit -- and if so -- which one? I hoping to gracefully retire my WinXP before Microsoft ends support in April 2014... - Hal Lane ######################## # hallane(a)earthlink.net ######################## --- This email is free from viruses and malware because avast! Antivirus protection is active. http://www.avast.com

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FOTD 12-02-14 (Prickly Star [A-7,M-5])
by Jim Muth 12 Feb '14

12 Feb '14

FOTD -- February 12, 2014 (Rating A-7,M-5) Fractal visionaries and enthusiasts: Today's image lies in the oversized parent fractal that results when 5 parts of Z^(0.7) is subtracted from 5 parts of Z^(0.5) and straight C is added. This parent, which is squeezed inside a too-small escape radius, vaguely resembles a violin standing on its side edge, and is filled with features resembling those in today's image. Today's scene lies near the tip of a small filament extending from a large bud on the southern side of the violin. I named the image "Prickly Star" for undisclosed reasons known only to myself. The art and math ratings are both run-of-the-mill because the fractal tricks have been done so many times before. The calculation time of 2 minutes will pass quickly enough once the dark and somber top edge of the image is finished and the 'star' begins to unfold. Things will go even faster by checking the web sites. Enjoy the easy life by viewing the finished image 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> After a morning low of -13F -25C the temperature soared to a balmy afternoon high of 19F -7C, while the clouds thickened ahead of a big snow that is expected tomorrow here at Fractal Central. The fractal cats and fractal humans spent the day getting ready for whatever happens. To me, the coming storm seems over-hyped, and over-hyped things often have a way of being less severe than expected, so I am not too concerned. The next FOTD will be posted in 24 hours, come what may. Until then, take care, and infinity divided by infinity equals infinity . . . or does it equal the number one. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Prickly_Star { ; time=0:02:00.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=MandAutoCritInZ function=ident passes=1 center-mag=+6.710105410484138/-3.350985559612549/\ 8.335127e+11/1/92.5/0 params=5/0.5/-5/0.7/0/300/0/0 float=y maxiter=1250 inside=0 logmap=164 periodicity=6 mathtolerance=0.05/1 colors=000B0NH0NA0ND0M80M90L90L70J60J00H50H00F00F0\ 0500500500500500500500500500500500500H005005005zzz\ zzzzrzizcdrT_mQWhMSbJMXEHPBDG68A425000000005204004\ 00200200000000000000000000000000000000000000000000\ 00000000000000WKz`2zS2zaFwP0tM0zKKmJ0kH0hRAdD0aB0X\ A0U80S60N40K20H00D00A005002000000000dSKaPHZNGWKETJ\ DQHBNEAMD8JB6G85D62A40620500200000000000000e8UP0G6\ 020qX0lT0hQ0bN0ZJ0TG0PD0J80E5082040000000GbU6MG052\ z0zS0U0hP0dM0_J0WG0SD0NA0J60E50A2050000000000B00A0\ 08006006005004004002000000000000000000000000000000\ 000000008bz5Xv4To2Nf0J_0ET08K04D004000s0zo0zk0zf0z\ d0t_0oW0kT0eP0_K0WG0QD0K80G40A0040z00z0eztXziPzZGz\ N6zB0z0zzdzzNzz5zzNzzJzzEzzBzz6zz4zz0zz0zz0zz8zz5z\ z2zz0zz0zz0zz0zz0zzzzzzzzzzxz0zw0zs0zo0zk0zf0zb0z0\ 0z00z00z00z00z00z00z00z00z00z00z00z0TzlQziPzfNzdMz\ aJzZHzWGzTEzSBzPAzM8zJzzz } 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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Re: [Fractint] The Life Inside
by Hal Lane 12 Feb '14

12 Feb '14

The purple and gold with green accents in your "The Life Inside" fractal is a great color combination, Albrecht! Its overall shape reminds me of a Greek or Roman plate. The shaded areas and the "confetti-like" areas lend to the air of antiquity the image evokes. Great image! - Hal Lane ######################## # hallane(a)earthlink.net ######################## ----------------------------------------------------- Author: Albrechtx Date: 2014-02-11 09:35 -500 To: Fractint and General Fractals Discussion Subject: [Fractint] The Life Inside HI, ; admittedly I use superlatives too often so they tend not to be taken seriously anymore. but the new software produces one after the other so what should I do? Yesterday?s FOTD for me was the best since a long time, probably you will agree. The inside of a mandel always has some magic. Of course that inspired me to plan today?s MOTD. Already the total view 21364-tv deserves that superlative, I very rarely see a total view of a new image that has that many interesting and beautiful features. Tell me if you dont agree, or if you do - by all means. This image is the opener, more will follow - hopefully.. ; https://www.dropbox.com/sh/jxui5eqkwx4hcae/3r5iDYO2-x ; Cheers, Albrecht ----------------------------------------------------- --- This email is free from viruses and malware because avast! Antivirus protection is active. http://www.avast.com

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Startup Basixs
by Albrechtx 12 Feb '14

12 Feb '14

HI, ; referring to my posting dated 05.02 with startup images and pars. The link now also contains a PDF with a possible input screen - hopefully I will get help to have it in reality. You can print it and have it handy (just in case). Cheers, Albrecht ; https://www.dropbox.com/sh/82yqz36o7y07aah/fyxOhKGxac

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MOTD 120214 Mercury - World of Ice and Fire
by Albrechtx 12 Feb '14

12 Feb '14

HI, ; as you can see I tried some painting. so the picture is more or less my own. In the folder a genuine Mercury photo is included. ; https://www.dropbox.com/sh/ajchbbl8cx966sx/nFWiO5hH4p ; Cheers, Albrecht

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FOTD 11-02-14 (Island Universe [A-7,M-5])
by Jim Muth 11 Feb '14

11 Feb '14

FOTD -- February 11, 2014 (Rating A-7,M-5) Fractal visionaries and enthusiasts: Today's fractal shows one of the things that happens when Z^(1.8) is combined with 0.1 part of Z^(18) and straight C is added on each iteration. The parent fractal is a large shapeless open bay with a moth-eaten M-set on its eastern side. This M-set has a main spike that shoots out to the east and curls to the north before terminating in a smaller bay just to its east. Today's scene lies near the point where the spike enters the smaller bay. The name "Island Universe" sounds like more than it means. This name was once applied to remote galaxies far out in the universe, but as far as I can see, it has little to do with today's image. The art rating of a 7 might have been a point or so higher if I had been in a better state of mind when I did the rating. The perfectly average math rating of a 5 shows that much of the impact is gone from the images created by the MandAutoCritInZ formula. As for the calculation time of 2-1/2 minutes, which is right on the borderline of slowness, I leave it to the individual fractal fanatic to make the decision whether to calculate the image or check it on the web sites. Check the finished image on one of 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> After a morning low of -2f -19C the temperature rose to a balmy 23F -5C in the afternoon. The sunny skies pleased the fractal cats, but with an indeterminate amount of snow forecast for tomorrow night and the next day, failed to impress the fractal humans. The next FOTD fractal will be posted soon. Until soon arrives, take care, and are fractals discovered, created, or both? Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Island_Universe { ; time=0:02:30.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=MandAutoCritInZ function=ident passes=1 center-mag=+0.2542821941133043/+0.121427269932459/\ 6.5e+10/1/-50/0 params=1/1.8/0.1/18/0/0/0/0 float=y maxiter=1200 inside=0 logmap=97 periodicity=6 colors=000000000500A00F00K00P00U00_00d30j90oC0rG0s\ K0tP2uU4uW6v_AtdFrgKpiPnkUmmZkpcirhgtmfvravjXvfSvb\ OvZRtWUrUXpS_nQblOejMgfNicNk`OmXOoUPpRPiWPb_PWdPPh\ PKjKInPHqTFuXEz`DzdzZPzAAtEOtI`tMmtQzqSynUxlVxiXwf\ Zvd_vTXxIVzOmfMigLehJahIYiGUjFQjDMkDKrCIkGJhJJfNKz\ QKzTLzXLz_MzbMzRIzONzbVzRNzBWzhEzUFzbEzXFzRFzcFzch\ zc5zc8zcAzcDzqKzcIzcGzwdzcYzcSzcLzcszchzcZzmPTme7m\ ZEmSLmLSmzGmnLmbPmRUmUKmMRmSlmNgmJbmXPmRSzLVznKzeO\ zXRzOVz1az5`z8_zCZz96zBDzCKzERzenzZizSezLazqXzgYzY\ Yzw_zSTzaczknzuxzjqz_kzOazPezPhzQkzQnzRqzRtzRwzVqz\ ZlzbgzfbzhdziYzjSzkMzlGzlAzgEzbIzYMzTQzUUzUYzUpzU`\ zUMzX7z_BzbEzeHzhKzkOznRzqUztXzwKzz8zzBzzDzzGzzIzz\ LzzNzzfzzbzz_zzXzzzzzUzzTzzSzzAXzzTzzPzzIzzLzzNzzP\ zzSzzUzzWzzYzzZzz_zz`zz`zzazzbzzczzczzKzz0zz5zzAzz\ FzzKzzPzzTzzPzzMzzJzzGzzzzzDzzEzzEzzLzzRzzXzzbzzhz\ znzztzzzzzszzlzzfzz_zzUzz } 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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MOTD110214 The Life Inside
by Albrechtx 11 Feb '14

11 Feb '14

HI again, : the words have been said - here are the images, all Mandel inside stuff. My absolute favorite is 21364-21. It consists of 3 parts with separate divisions of the colormap and the details are extraordinary. What is yours? The evil cat? ; https://www.dropbox.com/sh/l1xxrf2yiq9ycxc/r4w4If-wMd ; Cheers, Albrecht

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The Life Inside
by Albrechtx 11 Feb '14

11 Feb '14

HI, ; admittedly I use superlatives too often so they tend not to be taken seriously anymore. but the new software produces one after the other so what should I do? Yesterday?s FOTD for me was the best since a long time, probably you will agree. The inside of a mandel always has some magic. Of course that inspired me to plan today?s MOTD. Already the total view 21364-tv deserves that superlative, I very rarely see a total view of a new image that has that many interesting and beautiful features. Tell me if you dont agree, or if you do - by all means. This image is the opener, more will follow - hopefully.. ; https://www.dropbox.com/sh/jxui5eqkwx4hcae/3r5iDYO2-x ; Cheers, Albrecht

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FOTD 10-02-14 (A Brot With a Lot [A-9,M-6])
by Jim Muth 10 Feb '14

10 Feb '14

FOTD -- February 10, 2013 (Rating A-9,M-6) Fractal visionaries and enthusiasts: Today's image returns us to hyperland, where we check the strange convolutions of a minibrot on the east shore line of the north branch of Seahorse Valley of the classic Mandelbrot set. (To eliminate the convolutions and see the classic scene, change the real(p3) parameter to zero and re-calculate the image.) I have no idea of what's going on inside the minibrots in these types of images, but whatever it is, it certainly makes some interesting scenes. In my opinion, the art aspect fully deserves the rating of 9 that I gave it. The math is still very puzzling, but by this time the puzzle is totally familiar and is no closer to being solved. The math rating of a 6 seems on the mark. The calculation time of 1-2/3 minutes is speedy enough to keep impatient fractal minds from drifting to non-fractal things. Viewing the image on the web sites will work equally as well. Check the image in finished form 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> Today brought a mix of sun and clouds, and a temperature of 28F -2C to Fractal Central here in central Pennsylvania. The fractal cats paid little attention to the outside conditions. They were more interested in playing, eating and sleeping. The fractal humans cleared the FC sidewalk early, leading to another routine day. There is a 90-percent chance that the next FOTD will be posted in 24 hours. Until then, take care, and technophiles claim that technology will eventually create a paradise on earth. But I wonder how long it will be before the paradise arrives and how many people will be left on earth to enjoy it when it finally does arrive. Jim (long live hi-tech) Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= A_Brot_With_a_Lot { ; time=0:01:40.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=HyperMandelbrot2 passes=1 center-mag=-0.74961736366/+0.052868655398/100640/1\ /87.5/0 params=0/0/0/0/0.624/0/1e-066/0 float=y maxiter=1500 inside=0 periodicity=0 colors=000_fdZfdYfcaiRelEin2ej6bfA_bFX_JUWOQSSNPXK\ L`HHeEEiIHeLJaOLYRNUVPQYRM`TIcVEgXBiVJkTRmRYoPZqNZ\ sM_uQ_zU`zX`zZaz_av`azV_zUYzTWwRVqOTiKRaFQXBJTAFO8\ CK68H49F7AHAEJDIKFMMIQOLUPOYRQ`TTcUWfWZiY`kZcm`fnb\ iocimdhkehifggggegfcffafe_eeYddWcdUbcSacQ`bO_bMa`K\ cZIeXHgVHhTHgMFdKDaJ4ZI5UI5PI5KH5FH6AM64L65L65L76L\ 76K77M77Z78h88h89e89a8AY9AU9BS9BQ9CL9CKADJADHAEGAE\ GBFFBFFBGFBpSunRrlQpkPniOlgOjfNhdMfcLdaKb_K`ZJZXIX\ WHVUHTSGRRFPPENODLMDJKCHJBFHADhr4fp5en5dm5ck5bi6ah\ 6`f6_e6Zc7Ya7X`7WZ7W4QW3OW3MV3KV3IV3GV3EV3DU5CT6CT\ 7BS8BS9ARAAQB9QC9PD8PE8OF7NG7NH6MI6MJ5LK5LL5NK6PJ7\ RI8SH9UGAWFAYEBZEC`DDbCEdBEeAFg9Gi8Hk7Il7Ij6Hi6Hh6\ Hg6He5Hd5Hc5Hb5Ha5H`6J`7L`8N_9O_AQ_BSZCTZDVZEXYFYY\ G_YHaYIbXI`XI_XKZWMXWOWWRVWUTVWSXYTZ_U`aUbcUdeUfgU\ hfUifUifUifVifWjfXjfYjfZkf_lf`mfanfbngcmhdliclicjh\ dihdhhdghdegddgdcgdbgd`fd } frm:HyperMandelbrot2 {; periodicity must be turned off a=(p1),b=(p2): q=sqr(a)-sqr(b)+pixel, b=(p3+2)*a*b+p4, a=q, |a|+|b| <= 100 } END PARAMETER FILE=========================================

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MFR12 Easy Start
by Albrechtx 10 Feb '14

10 Feb '14

Jonathan, maybe you have read my posting about a simplified startup in order to create own images, Feb5th. A big improvement in that direction would be a modified z-screen without the explanations but with an extra user accessible line every second line which would make it possible to insert explanations for the inputs. Counting of digits and looking up in the frm source where to find settings is very bothersome and keeps users from trying. Of course this modification would be applicable only within MFR12. My gratitude will be unlimited if you are able to help !! Cheers, Albrecht

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Today´s MOTD
by Albrechtx 10 Feb '14

10 Feb '14

HI, ; I added two more beautiful and interesting images, both show some underlying symbolism. Especially 54045-30 has that fascinating energy similar to the "Strange Beauty" some days ago. What do you think? Cheers, Albrecht ; https://www.dropbox.com/sh/5casjeyvkc0joe0/JTF8J2g0vc

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MOTD 100214 House of Mandels
by Albrechtx 10 Feb '14

10 Feb '14

HI, , the name needs no explanation. It?s an image consisting of 2 times Mmods - main and inside3 and two times Manowar - outside and inside2 with warp effect. Still needs exploring - wait and see or try it yourself. ; https://www.dropbox.com/sh/5casjeyvkc0joe0/JTF8J2g0vc ; Cheers, Albrecht

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Re: [Fractint] MOTD 070214-2 The Holy Grail
by Hal Lane 10 Feb '14

10 Feb '14

> The image [54765-HG.GIF] has a huge amount of > interesting detals... You can say that again! It also has a very nice balance between the amount of area covered with features versus the area of black background. This image makes me want to zoom into it everywhere... - Hal Lane ######################## # hallane(a)earthlink.net ######################## ---------------------------------------------------------- To: Fractint and General Fractals Discussion Subject: [Fractint] MOTD 070214-2 The Holy Grail HI, ; The Holy Grail. As the name indicates this is about the mandel, what else. It sits in the middle of the image on an altar ready to be worshiped in all itÂ´s glory. The image has a huge amount of interesting detals and should be watched on a big flatscreen, if possible. Let the images do their part instead of any more explanations. ; https://www.dropbox.com/sh/t84iuos7kiw94ce/cqoFEJ9gNO ; Cheers, Albrecht ---------------------------------------------------------- --- This email is free from viruses and malware because avast! Antivirus protection is active. http://www.avast.com

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Re: [Fractint] MOTD 070214 Two_Julias
by Hal Lane 10 Feb '14

10 Feb '14

Albrecht, > ...the parts are differently coloured. I can clearly see the two different parts of the color map being used in the two different Julia formulas. The image seems to change between the two formulas as the calculation crosses (approximately) the diagonal lines: y = x and y = -x. I really like this image (48000-TV.GIF)! - Hal Lane ######################## # hallane(a)earthlink.net ######################## ---------------------------------------------------------- To: Fractint and General Fractals Discussion Subject: [Fractint] MOTD 070214 Two_Julias HI, ; this is an image I tried but did not think it would work - but if did! It is a mix of two Julia type frms, Manowar and Spider, Spider as outside. The result is amazing, because the image is clearly divided into 4 parts crosswise and the parts are differently coloured. ; https://www.dropbox.com/sh/x2o5wgpwemnbalw/8sAljqr2vg ; Cheers, Albrecht ---------------------------------------------------------- --- This email is free from viruses and malware because avast! Antivirus protection is active. http://www.avast.com

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FOTD 09-02-14 (Satin Ribbons [A-7,M-6])
by Jim Muth 10 Feb '14

10 Feb '14

FOTD -- February 09, 2014 (Rating A-7,M-6) Fractal visionaries and enthusiasts: Today's image lies in the parent fractal that results when 2 negative parts of Z^(-22) are combined with 10 negative parts of Z^(-1.2) and (1/C) is added on each iteration. This parent features an extraordinarily well-formed 'fan' with the blade facing east. Today's image lies near the terminus of the main spike of a rather twisted minibrot at the northern edge of the blade of the 'fan'. The art rates a 7. I put enough effort into the coloring to make the rating an honest one. The math rating of a 6 is appropriate, since the math trick is well over ten years old. The name "Satin Ribbons" is a carry-over from an earlier but now discarded coloring of the same image, though a bit of the satin ribbon effect still remains. The calculation time of 3-3/4 minutes is slow, which could allow impatience and boredom to arise. Luckily, the FOTD web sites can eliminate this danger. The completely calculated image is posted 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> Today here at Fractal Central began with clouds and flurries of snow. In the early afternoon the flurries changed to steady snow, which was falling fast as this FOTD was posted. The temperature rose from a morning low of 3F -16C to an afternoon high of 23F -5C. The fractal cats noticed the snow, then went about their business of eating, sleeping and playing. The fractal humans took it as easy as they could in anticipation of path clearing that will be needed tomorrow. The next FOTD will be posted at the right time. The most likely right time is one day from now. To see how right this time is, check back here early and often. Until whenever, take care, and would the real Big Brother please stand up. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Satin_Ribbons { ; time=0:03:45.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=MandAutoCritInZ function=recip passes=1 center-mag=+1.072448576083/+1.992126657002/342483/\ 1/75/0 params=-2/-22/-10/-1.2/0/0/0/0 float=y maxiter=2100 inside=0 logmap=224 periodicity=6 colors=00053J53G86IA7KB9MEBOGDQJHSLIUPSWTRYZc_ccam\ pcmoezwfzxcrsars_moYmoWhjUhjSciQcgOZeMZcKU`KUYLKWL\ KTMAXKBXICXHDXFEXDFWBGWAHV8IV6JU4KU5MZAO`FQbKSdPUd\ TGeP2gL7iJMkHHmFMoDRqCWsA`u8ew6iy5hw4gv4fu4et4dr3c\ q3bo3am3ak3TiNKgeBex9cr8al7_g6Ya5WX6UY7TZ8TZ9U_AW`\ BY`C_aDabEcbFecGgdHidIkeJmfJofKmgLkhMiiMgjNekOclPa\ mP_mQYnRWoSUpSSqTQrUOsVMtVKtXJsYJrZIq`IqaIpbHodHne\ HnfGmhGliFkjFklFjmEinEhoEhoEhpFgpFgpGgqGfqHfqHeqIe\ rIdrJdrJcsKcsKbsLbsLbqOaoQamT`kV`iX`g__ea_ddZbfZ`h\ ZZkYXmYVpXTrXPxWStXUqYzzYZkZ`zcagZzh_fa_hZ`kV`mSap\ ParMbtJbsIcrHcqGdpFdoEenDemCelBfkAfj9gi8gh7gg6hf5h\ e4id3ic0jd2ie3if5ig6ih8ii9hjBhkChlEhmFhnHhoIgpKgqL\ grNgsOgtPgrQeqRdMgaTdfMgaFiY8kU1mQKmXaZckmizGeimbz\ K_`mWzOTSmQzSNImJzWG9mDz_A7mCzcFCeHzgKHiMzkOMmRzoT\ RqWztYXwazz_VzZzzYTzXzzWRzVzzTPzSzzROzQzzPMzOzzMKz\ LzzKIzJzzI9zYzzVBzSzzPDzM } 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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Todays MOTD
by Albrechtx 08 Feb '14

08 Feb '14

Att Jack, I promised a circular image of a special kind. Here it is, check 54765-_11 (Maximum zoomout) https://www.dropbox.com/sh/rrj27ko5836qpme/aNsFapvJ6P Cheers, Albrecht

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MOTD 080214 The Holy Grail Part2
by Albrechtx 08 Feb '14

08 Feb '14

HI, ; although there has been no feedback (sofar) on yesterday´s somewhat provocative MOTD here now follows the second part with some zooms. ; Maybe some of you remember an image done with the previous version of mfr (Land of wonders). This is similar but with more details and without some ugly parts.. As I stated before, it´s possible with MFR12 to plan and design an image. ; The zooms all are pretty images with perfect - genuine- symmetry. Yesterdays images are there too, to have them all together. 54765-H3 is the temple for the Holy Grail ; https://www.dropbox.com/sh/rrj27ko5836qpme/aNsFapvJ6P ; Cheers, Albrecht

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FOTD 07-02-14 (A Sweet Tooth [A-7,M-6])
by Jim Muth 07 Feb '14

07 Feb '14

FOTD -- Febtuary 07, 2014 (Rating A-7,M-6) Fractal visionaries and enthusiasts: Today's image takes us back to the large eastern bud of the parent fractal of yesterday's image. But today we check the easternmost of the two northern valleys leading to the bud. I named the image "A Sweet Tooth" when something about it reminded me of candy. The art rates an 8. I might have done better by trying different outside options, but laziness won the day and I went with the default equal iteration bands, which for some reason are not consecutive in today's image. The calculation time of 6-1/2 minutes is rather slow for a humdrum fractal with no fancy bells and whistles. Checking the web sites can save time, and who knows, there is always the chance that a bell or whistle or two might have been added as a variation. The web sites may be accessed 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> Lots of sun, a high temperature of 28F -2C and light winds made today quite bearable here at Fractal Central. The fractal cats enjoyed the sun, which at its angle at this time of the year, falls the strongest on their shelf in the southwest window. The humans meanwhile had a totally human day. The next FOTD will probably not be posted until February 9, two days from now. Until then, take care, and time could be our awareness of the changes we see as we move at the speed of light through the four-dimensional spacetime continuum one three- dimensional slice at a time. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= A_Sweet_Tooth { ; time=0:06:30.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=MandAutoCritInZ function=recip passes=1 center-mag=+1.464867732690582/+0.08554879087981407\ /6.3388e+010/1/-78.7/0 params=1/-5.5/3/-1.5/0/0/0/0 float=y maxiter=3200 inside=0 logmap=502 periodicity=6 mathtolerance=0.05/1 colors=0000KShXPeVNbTL`RIYPGVNETMCULEVLFVLGWLHXLIX\ LJYLKZLMZLN_LO`LP`LQaLRbLSbLUcLVdLWdLXeLYfLZfL_gLa\ gLbhLciLdiLejLfzLgkLimLjmLkbLlnLmoLnoLopLqqLrqLsrL\ tsLusLvtLwtLxYOVBR1AQ0AQ0AQ0AQ0AQ09Q09Q09Q09Q09Q09\ Q08Q08Q08h08J08`07P07P07P07P07P07P06P06P06P06P06P0\ 6P05N45L85JB5HF5FI5EM4CQ4AT48X46_44c43f53e53d53c63\ b63z63zK3z73_7Ez83Y8Gz83X83W93V93U93TA3SA3SA3RB3QB\ 3PB3OC3NC3NC3MC3LF3ED3KD3JD3IE3IE3HE3GF3FF3EF3DD02\ E13T13g14b14E14E15E15E15E16E16E26E27E27E27E28F28F2\ 9F29F29F2AF3AF3AF3BF3BF3BF3CF3CF3CF3DF3DvZ1rW2nT3z\ R4aO5cL6`J7XG8TD9QGAM8BI5CDoWEmVElzEiUEhTEfSEdSEcR\ EaQE_QEZPEXOEVOEUNESMFQMFOLFNKFLKFJJFKIFMIFNHFOGFP\ GFQFFREFSEFTDAUpAVoAWnAXmAYmAZlA_kA`kKajKbiUchUdhV\ egWffXgfYheZid_jcakcclbemagnaio`kp_mqZnoZooYppXqsX\ rtWsuVuvUwwUzxUzyXzz_zzczzezzmzzmzzmzzmzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzz } 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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MOTD 070214-2 The Holy Grail
by Albrechtx 07 Feb '14

07 Feb '14

HI, ; The Holy Grail. As the name indicates this is about the mandel, what else. It sits in the middle of the image on an altar ready to be worshiped in all it´s glory. The image has a huge amount of interesting detals and should be watched on a big flatscreen, if possible. Let the images do their part instead of any more explanations. ; https://www.dropbox.com/sh/t84iuos7kiw94ce/cqoFEJ9gNO ; Cheers, Albrecht

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MOTD 070214 Two_Julias
by Albrechtx 06 Feb '14

06 Feb '14

HI, ; this is an image I tried but did not think it would work - but if did! It is a mix of two Julia type frms, Manowar and Spider, Spider as outside. The result is amazing, because the image is clearly divided into 4 parts crosswise and the parts are differently coloured. ; https://www.dropbox.com/sh/x2o5wgpwemnbalw/8sAljqr2vg ; Cheers, Albrecht

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FOTD 06-02-14 (The Minor Enigma [A-7,M-6])
by Jim Muth 06 Feb '14

06 Feb '14

FOTD -- February 06, 2014 (Rating A-7,M-6) Fractal visionaries and enthusiasts: In today's FOTD we take a brief break from the world of HyperMandelbrot stuff and return to the world of double negative images. The parent fractal of today's fractal combines Z^(-5.5) with 3 parts of Z^(-1.5). This parent is little more than a near shapeless jumble of large bays oriented east-west and surrounded by a field of smaller disconnected satellite fractals. Today's scene is located on the shore line of a large bud on the eastern edge of the easternmost large bay. The name "The Minor Enigma" has little to do with the image. In fact, it has little to do with anything, since it came to mind at lunch time, while I was watching the 'news'. The art aspect rates a 7, and even this might be a bit too liberal. The math could be rated no higher than a 6, since the math trick is over 10 years old. It's a different story with the calculation time however. The one minute it takes to finish the calculation on a SOTA machine can hardly be surpassed other than by checking one of the web sites. Calculation may be avoided by viewing the finished image 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> Today dawned mostly clear and cold with a temperature of 9F -13C here at Fractal Central. The sun prevailed through the rest of the day, raising the temperature to an afternoon high of 27F -3C. The fractal cats enjoyed the sun, which despite the cold is getting higher and stronger every day. The fractal humans had a bit of a problem digging out the fractal vehicle, but after a bit of work, freedom was achieved. The next FOTD will be posted in 24 hours. I would bet a week's income on it. Until then, take care, and biologists tell us that we have brains. I have no trouble with this. But then they claim that our conscious selves are by-products of our brains, and this is where I get confused. It appears to me that the biologists are claiming that our brains are creating the by-products that know they have brains creating by-products. This is circular reasoning if I ever heard it. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= The_Minor_Enigma { ; time=0:01:00.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=MandAutoCritInZ function=recip center-mag=+1.796227165862817/-0.3708379226392214/\ 4.632749e+010/1/67.5/0 params=1/-5.5/3/-1.5/0/0/0/0 float=y maxiter=1500 inside=0 logmap=93 symmetry=none periodicity=0 mathtolerance=0.05/1 colors=000K_UKdUKaZKfZKdcKicKghKmhKkmKpmKprQqrKtvV\ szXxz`tzgtzgtzkvzkvzozzozzrzzrzzzzzzzz0Av00rA0m2Eh\ 02b0Dn0Fk0Mp0Tv0`z0gz0pz0iz0dz0Zz0Tx1Ov5KtAFpGAmM5\ kT1gZ0ed0db0b`0bZ0bX0`V0`V0`T0ZR0ZP0ZO0XO0XM0XK0VI\ 0VG0VG0VK0`M0gP0mR0tV0zX0zT0zM0zF0zA0t50`00I002000\ 00100600D00K00K00I00I00I00I00I00G00G00G00G00G00G10\ F10F20F20F40F40D40D50D50D60D60D80B80BA0BA0BB0BB0AB\ 0AD0AD0AF0AF08G18G18I28I48K46K56M56M66O86e85eA5gA5\ gB5iD5iD4kF4kF4mG4mI4pI2pK2rK2rM2tO2tO1bZ1bZ1b`1db\ 1db0ed0ee0ge0gg0ig0ii0kk0kk0mm0mm0pk0pg0pg0ri0ri0t\ k0tm0vm0vp0xp0xr0`g``gd`eg`ek`dp`dr`bvKzzKzzMzzMzz\ MzzMzzOzzOzzOzzOzzOzzPzzPzzPzzPzzzz0zz0zz0zz0zz0zz\ 0zz0zz0zz0zz0zz0zz0zz0zz0zz0zz0zz0zz0zz0zz0zz0zz0z\ z0zz0zz0zz0zt0zv0zv0zx0zz0zz0zz0zz0zz0zz0zz0zz0zz0\ zz0zz0zz0zz0zz0zz0zz0zz0zz0Dz0Fz0Fz0Fz0Fz0Gz0Gz0Gz\ 0Gz0Gz0Iz0Iz0Iz0Iz0Kz0Kz0 } 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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Impressionistic Painting
by Albrechtx 06 Feb '14

06 Feb '14

HI, ; it´s only a few days since I play with MFR12 but there are new surprises every one of them, since it is capable of doing images "in between" more paintings then fractals, especially when a new stage of fractal images is climbed. Today is a special day for me and this is a new dimension. ; https://www.dropbox.com/sh/a5abss6dqbnhlfp/okaXWT4vJn ; Cheers, Albrecht ; PS: be sure to replace your MFR12 version as the shape frm is Spider

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MOTD 060214 Xmas Mandel
by Albrechtx 06 Feb '14

06 Feb '14

HI, ; the title is somewhat belated but there is no other name for a mandel that is illuminated like a christmas tree. I wonder what a kind this is using Jim´s terminology. Plus two other images all using magnet as main shape, a unique structure and a double circular image of the irregular type. ; https://www.dropbox.com/sh/uhyv92nz33s208o/joSggUSOOe ; Cheers, Albrecht

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Promising Blues
by Mike Frazier 06 Feb '14

06 Feb '14

This fractal is one I found a few months ago while exploring z^4 parallel resistor formulas. I have been using it as a test file for the new color editor I have been working on for Fracton. I finally got enough of the program working to be able to try it out on this file. The results show promise and that inspired the name for the fractal as "Promising Blues". Note: Fracton is off by one color index from the FractInt generated image. Oh well, more stuff to fix. Here is a link to an image: http://dl.dropboxusercontent.com/u/33642054/image/promising_blues_1200_5.jpg A sneak peek at an unfinished version of Fracton's color editor: http://dl.dropboxusercontent.com/u/33642054/image/fracton_color_editor_0205… The FractInt compatible PAR file for the image is: Promising_Blues { ; Exported from Fracton. reset=2004 type=formula formulafile=fracton.frm formulaname=F_20140205_1646 passes=1 float=y center-mag=-3.618937836800471/-4.445596376660789e-\ 16/444444450000/1/0/0 params=-1/1/0/4/-1.13/0/1/0/0/0 maxiter=500 inside=0 logmap=-85 periodicity=6 colors=0120AE0LS0Uc0cq0hw0_k0QY0HM0680120IO0Yi0hw0\ Ta0CG653IF9WSGicNwpUqkScZLQNECB7653IF9WSGicNwpUqkS\ cZLQNECB7111EEEQQQbbbnnnlll```PPPDDD111EEEQQQbbbnn\ nlll```PPPDDD111EEEQQQbbbnnnlll```PPPDDD111EEEQQQb\ bbnnnlll```PPPDDD111EEEQQQbbbnnnlll```PPPDDD200G00\ U00g00u00s00e00S00E00200G00U00g00u00s00e00S00E0020\ 0G00U00g00u00s00e00S00E00200G00U00g00u00s00e00S00E\ 00200G00U00g00u00s00e00S00E00200G00U00g00u00s00e00\ S00E00200G00U00g00u00s00e00S00E00200G00U00g00u00s0\ 0e00S00E00200G00U00g00u00s00e00S00E00200G00U00g00u\ 00s00e00S00E00200G00U00g00u00s00e00S00E00200G00U00\ g00u00s00e00S00E00200G00U00g00u00s00e00S00E00200G0\ 0U00g00u00s00e00S00E00200G00U00g00u00s00e00S00E002\ 00G00U00g00u00s00e00S00E00200G00U00g00u00s00e00S00\ E00200G00U00g00u00s00e00S00E00200G00U00g00u00s00e0\ 0S00E00200G00U00g00u00s00 } frm:F_20140205_1646 { ; Similar to the parallel resistance formula a=real(p1),b=real(p2),d=imag(p1),f=imag(p2), z=0,c1=pixel-p3,c2=pixel-p4: z=1/(1/(a*z*(cos(z)-1)*sin(z)+c1)+1/(d*(z^f)+c2)), |z|<100 } -- Mike Frazier www.fracton.org

1 0

FOTD 05-02-14 (Supernova [A-8,M-8])
by Jim Muth 05 Feb '14

05 Feb '14

FOTD -- February 05, 2014 (Rating A-8,M-8) Fractal visionaries and enthusiasts: Today's image reminds me of a stellar supernova explosion, which is what I named it. It is a scene on the northwest shore line of the main bay of a perturbed version of the HyperMandelbrot set. This is an area of the Hyper set that until today I have never checked. And from the nature of the area beyond the border of today's scene, there might be rich pickings to be found nearby. In my opinion, both the art and math values of the image rate an 8. And the brief calculation time of 1-1/4 minutes makes the image an even better bargain. The ultimate in convenience may be found however on the FOTD web sites, where the finished image is posted. The image is posted 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> About 8 inches or 20cm of heavy wet snow fell overnight here at Fractal Central, which made for heavy work clearing the fractal sidewalk. Luckily, FL kept the hot coffee flowing until the job was done. The rest of the day was cloudy with a temperature of exactly freezing. The fractal cats noticed the changed appear- ance of the outside world, but were too busy chasing each other around the house to give the outside much attention. The next FOTD will be posted before the sun engulfs the earth, which will be in something like 6-billion years. (Luckily, it's not 6-million years.) Until this magic moment arrives, take care, and science sees man as a body with a conscious mind as a by-product, yet it is this by-product that observes the body and invents theories about how the body creates the mind. Jim (circular reasoning?) Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Supernova { ; time=0:01:15.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=HyperMandelbrot2 passes=1 center-mag=-0.3581565658/+0.6109241496/1664/1/\ -42.5/0 params=0.305/0/0/0/1/0/1e-050/0 float=y maxiter=405 inside=0 periodicity=0 colors=000m1Cm1Am19m18m17m16m15mF3wK4wP5wU6wZ7vc8z\ h9zoAzzzzz0zzDzzzUrz9pl9om8nm8nm8mm8mn8ln7kn7kn7jn\ 7jo7io6io6ho6hp6gp5gp5fp5fq5eq5eq4dq4cq4cr4br4br3a\ r3as3`s3`s3_s2_t2Zt2Zt2Yt1Zu2Yt2Ys2Xr2Xq2Wp3Wo3Wn3\ Vm3Vl3Uk4Uj4Ti4Th4Tg4Sf5Se5Rd5Rc5Qb5Qa6Q`6P_6PZ6OY\ 6OX7NW7NV7NU7MT7MS8LR8LQ8KP8KO8KO9JM9IL9IKAHJAHIAG\ GAGFBFEBFDBFCBFACF9CF8BF7BF4AF6BF7BF9CFADGBDHDEIEF\ IFFJHGKIILJJMLKNMMONNPPOPQQQRRRTSSUUTVVUXXVYWVZVUY\ UUXUUWUUVUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUWUWYUX_UYaU\ ZcU_cU`cUacUbcUccUdcUecUfcUgcUfcUfcUfcUfcUecUedUed\ UeeUdeUdfUdfUcfUcfUcfUcfUbeUbeUbeUbdUadUacUacUacU`\ bU`bU`bU`aUaaUaaUaaUa`Ua`Ua`Ua`Ua_Ta_Ta_Sa_Sa_RaZR\ aZQaZQaZPaYPaYOaYObYNbXNbXMbXMbXLbXLbWKbWKbWJbWJbV\ IbVIbVHbVHbVGbUGbUFbUFbUEcTEcTDcTDcTCcSCcSBcSBcSAc\ SAcR9cR9cR8cR8cQ7cQ7cQ6cQ6cP4aQ6_R7YR9WSAUUASWAQY9\ O_8Ma7Kc6Ie5Gg4Fi3Ek2Dm1C } frm:HyperMandelbrot2 {; periodicity must be turned off a=(p1),b=(p2): q=sqr(a)-sqr(b)+pixel, b=(p3+2)*a*b+p4, a=q, |a|+|b| <= 100 } END PARAMETER FILE=========================================

1 0

Strange Beauty
by JackOfTradeZ＠comcast.net 05 Feb '14

05 Feb '14

""Any comments are welcome.;https://www.dropbox.com/sh/q3j5mh1o8k22ki2/LqZ8ImJg9H;Cheers,Albre…"" Loox like some species of Alien Angel, wings and all. Don't know if she's good or evil, but dang pretty! .

1 0

MFR12 Startup
by Albrechtx 05 Feb '14

05 Feb '14

HI, ; software with unlimited possibilities cannot be easy to handle. Of course that´s the reason nobody ever has tried to create completely new images. I have tried to make MFR12 more userfriendly. ; Therefor I have supplied some means to enable an easy startup: A complete set of Parfiles for every participating frm (11). They create an image with the basic shape and also have some default settings. ; Also all basic images are supplied, so all there is to do: Load an image and add other frms and settings. ; To start it´s only necessary to insert in line 3 (Rp2) of the setup screen the number of 2 to 5 frms to use. The number is given in the name of the parfile. ; Of course there is a lot more to it, for instance the warp effect and the border system, but these things are not needed for a startup. ; I know that this is interesting for very few users, just give it a try and you will see that crating images with MFR12 is a fascinating game - and after all this IS a forum. Of course I will assist and reply all inevitable questions and also will explain the more demanding features of the software if there is any interest. ; To avoid possible loss due to Dropbox I will repeat the Parfiles and the Frm (one minimal change due to the Spider Frm) ; https://www.dropbox.com/sh/82yqz36o7y07aah/fyxOhKGxac ; Cheers, Albrecht ==============================start_par==================================== 1_Secant_Basic { ; Time 02.33.90 ; 1280/1024 reset=2004 type=formula formulafile=mfr_12.frm formulaname=multifractal_12 function=sin/exp/exp/sin passes=t center-mag=2.22045e-016/0/0.5226667/1/-90/3.88578058618804789e-016 params=1.42593798638874/0.4447980163579212/10000.0703570002/15234.050603\ 0602/152048.0404808048/384.1604894048/384.00482000595/256.1007683/512.10\ 07683001/512.1007683 float=y maxiter=3072 inside=maxiter logmap=4 periodicity=0 rseed=-2436 colors=000000zr0zz1zzC<2>zzz<3>jqdfo_blU<3>Mb8<3>LQ8KM8KJ8<2>I88H44G00<3\ >TA5WD6ZF7aI8eLAhMBiODjQF<3>qeBriAtm9vq8xu7zz5zz4zz3<4>zj4zg4zc4<3>zS5zP\ 5zL6zI6zE6wE6tD6<6>vAIv9Kv9M<3>x7Sy7Uy6Wz6Yz5_<3>f5Ma5IW4E<2>_4H<3>P3DN2\ CK2A<3>805G0BO0G<3>g0Ul0Xq0`v0d<2>y0fz0gy0h<3>u1mt1ns1or2q<2>v2u<3>c5eZ6\ `U6X<2>F9LAAG7FO4KW0Qc<3>5Xc6Zc7`c7aa7c_7eY<3>FcgHciJbl<3>S_v<3>civflvin\ vlqvotvsww<2>zzz<3>rwzovzhsw<3>Gch8_d8Xa<3>8JP8FL8CI<4>XCAaB9fB7<3>zA0<1\ 3>SA1QA1NA1<3>D92<6>UXAW`BYcC<3>hrI<3>UnXRm_NlcJkgFfpAaz<3>PJoSFlWAi_5fc\ 0ce7_jFRoNIzb0zj0 } 2_Mandel_Basic { ; Time 02.22.04 ; 1280/1024 reset=2004 type=formula formulafile=mfr_12.frm formulaname=multifractal_12 function=sin/sin/exp/sin passes=t center-mag=0.315433/0.00308737/0.9205382/1/-90/-1.23373533611470521e-014 params=-0.05825983458967864/0.3785210730307932/20000.32595700022/15234.0\ 506030602/152048.0404808048/384.1604894048/384.00482000595/256.1007683/5\ 12.1007683001/512.1007683001 float=y maxiter=3072 inside=maxiter logmap=4 periodicity=0 rseed=-2436 colors=000<2>110110000KA4<7>gcOjgRmjT<3>zzc<9>UOFRKDOGA<3>A00<9>f0Ci0Dl0\ F<3>z0K<6>Z0EV0DR0C<3>A08004000<26>000<4>000<7>Q0UU0YX0a_0dc0hf0l<2>p0w<\ 4>_0dX0aU0Y<2>K0NH0JG0NE1R<3>7UX6`Z4h_2oa0wc<10>2WI2TG2RE<3>4G54D36F5<16\ >kkammcpoe<3>zwm<3>mhZjdVfaS<3>VMCRI8OE4KA0000<43>000<4>000330<12>110 } 2alt_Dblmandel_Bas { ; Alternaive for Single Mandel ; Time 01.57.81 ; 1280/1024 reset=2004 type=formula formulafile=mfr_12.frm formulaname=multifractal_12 function=sin/sin/exp/sin passes=t center-mag=-0.49234/0.00308737/1.183773/0.9769/180 params=-0.05825983458967864/0.3785210730307932/20000.32595710022/15234.0\ 506030602/152048.0404808048/384.1604894048/384.00482000595/256.1007683/5\ 12.1007683001/512.1007683001 float=y maxiter=3072 inside=maxiter logmap=4 periodicity=0 rseed=-2436 colors=000110110000110<2>000KA4<7>gcOjgRmjT<3>zzc<9>UOFRKDOGA<3>A00<9>f0\ Ci0Dl0F<3>z0K<6>Z0EV0DR0C<3>A08004000<26>000<4>000<7>Q0UU0YX0a_0dc0hf0l<\ 2>p0w<4>_0dX0aU0Y<2>K0NH0JG0NE1R<3>7UX6`Z4h_2oa0wc<10>2WI2TG2RE<3>4G54D3\ 6F5<16>kkammcpoe<3>zwm<3>mhZjdVfaS<3>VMCRI8OE4KA0000<43>000<4>000330<10>\ 110 } 3_Bees_Basic { ; Time 01.22.94 ; 1280/1024 reset=2004 type=formula formulafile=mfr_12.frm formulaname=multifractal_12 function=sin/sin/exp/sin passes=t center-mag=0.74349/0.00308737/0.2679171/1/-90/3.88578058618804789e-016 params=-0.05825983458967864/0.3785210730307932/30000.32595700022/15234.0\ 506030602/152048.0404808048/384.1604894048/384.00482000595/256.1007683/5\ 12.1007683001/512.1007683001 float=y maxiter=3072 inside=maxiter logmap=4 periodicity=0 rseed=-2436 colors=000000zr0zz1zzC<2>zzz<3>jqdfo_blU<3>Mb8<3>LQ8KM8KJ8<2>I88H44G00<3\ >TA5WD6ZF7aI8eLAhMBiODjQF<3>qeBriAtm9vq8xu7zz5zz4zz3<4>zj4zg4zc4<3>zS5zP\ 5zL6zI6zE6wE6tD6<6>vAIv9Kv9M<3>x7Sy7Uy6Wz6Yz5_<3>f5Ma5IW4E<2>_4H<3>P3DN2\ CK2A<3>805G0BO0G<3>g0Ul0Xq0`v0d<2>y0fz0gy0h<3>u1mt1ns1or2q<2>v2u<3>c5eZ6\ `U6X<2>F9LAAG7FO4KW0Qc<3>5Xc6Zc7`c7aa7c_7eY<3>FcgHciJbl<3>S_v<3>civflvin\ vlqvotvsww<2>zzz<3>rwzovzhsw<3>Gch8_d8Xa<3>8JP8FL8CI<3>SCCXCAaB9<3>uA2zA\ 0xA0<12>SA1QA1NA1<3>D92<6>UXAW`BYcC<3>hrI<3>UnXRm_NlcJkgFfpAaz<3>PJoSFlW\ Ai_5fc0ce7_jFRoNIzb0zj0 } 4_Julia_Basic { ; Time 01.57.81 ; 1280/1024 reset=2004 type=formula formulafile=mfr_12.frm formulaname=multifractal_12 function=sin/exp/exp/sin passes=t center-mag=-0.502551/0.00230074/1.04123/1.0201/77.2315031053739602/0.531\ 703639330900923 params=0.2030091250343333/0.3606067079683828/40000.07030100001/25233.867\ 49100335/151024.7048889127/383.443930242594/384.6230639709148/256.119445\ 6278993/511.3025872032647/766.2888233554911 float=y maxiter=1024 inside=maxiter logmap=4 periodicity=0 rseed=-2436 colors=00y000<4>0000000000800000800A00000K00K0gK0g00hL0hK0jK00K00N00H0kH\ 0k00kS0lU00Z00_0la00d00d0000mh00j00000m0000n000n0000000or0xt0xu0uv0ux0sx\ 0sx00x0<3>0y00000y0<2>0y0zy0zy0zy00y00y0zxyzxvzx0ywu0vt0ut0qs0ps0pr00000\ 000r0pq00q00q0000000oqz0000000p00qyo00p00pryqtyqwxqyxqy0qxwpvvpvuou0lttj\ stjq0hotbmsSXsQWsNVpJSpIG00000000F0G00DC0DB09A07606500500406400300000x00\ xv02vww00w0uwtuwtt2t02s0vs0vr01qr1q0uq00nq0nq0kqukn0il00j0hjt0it60r6gq50\ i00h00h00300f00S00F00F00E50D00C00C00700000060804805005000800860905900000\ 068z08yp0yqoysoxvoxvo9vo90ox8ow00w0000AtJnrJnpJmoJmnKkiKjfKkdK000000C00E\ 00F00F0000<3>000wx0twxswwpvwnvu0uu0ttmtr0tq0spksp0rn0pmkokkojjljjkiij0ij\ 000000000y00x00xzyxzxwyvw0tuxouxosvmsulqsj0qiophophm00l00k0hj<3>0hh0gh00\ f0fe0cd0cY00V00U00N00O000 } 4alt_Manowar_Bas { ;Alternative for Julia ; Time 01.45.08 ; 1280/1024 reset=2004 type=formula formulafile=mfr_12.frm formulaname=multifractal_12 function=sin/sin/exp/sin passes=t center-mag=-0.479531/0.00308737/1.116437/1/90/-1.23373533611470521e-014 params=1.892178106021302/0.4900357066560869/40000.32595700022/25234.0506\ 020602/152048.0404808025/384.1604894022/384.00482000595/256.1007683/512.\ 1007683001/512.1007683001 float=y maxiter=3072 inside=maxiter logmap=3 periodicity=0 rseed=-2436 colors=000wyz<3>nvz<3>MglFch7_d<3>7NS7JP7FL7CI<4>WCA`B9eB7<3>yA0<13>RA1P\ A1MA1<3>C92<6>TXAV`BXcC<3>grI<3>TnXQm_MlcIkgEfp9az<3>OJoRFlVAiZ5fb0cd7_i\ FRnNIyb0yj0000yr0yz1yzC<2>yzz<3>iqdeo_alU<3>Lb8<3>KQ8JM8JJ8<2>H88G44F00<\ 3>SA5VD6YF7`I8dLAgMBhODiQF<3>peBqiAsm9uq8wu7yz5yz4yz3<4>yj4yg4yc4<3>yS5y\ P5yL6yI6yE6vE6sD6<6>uAIu9Ku9M<3>w7Sx7Ux6Wy6Yy5_<3>e5M`5IV4E<2>Z4H<3>O3DM\ 2CJ2A<3>705F0BN0G<3>f0Uk0Xp0`u0d<2>x0fy0gx0h<3>t1ms1nr1oq2q<2>u2u<3>b5eY\ 6`T6X<2>E9L9AG6FO3KW0Qc0Sc<3>5Zc6`c6aa6c_6eY<3>EcgGciIbl<3>R_v<3>bivelvh\ nvkqvntvrww<2>yzz } 5a_Mmods_Sinus_Bas { ; Time 04.12.99 ; 1280/1024 reset=2004 type=formula formulafile=mfr_12.frm formulaname=multifractal_12 function=sin/sin/exp/sin passes=t center-mag=0.166375/0.00308737/0.02002671/1/-90/-1.23373533611470521e-01\ 4 params=-0.05825983458967864/0.3785210730307932/50000.07595700001/51234.0\ 506030602/150248.0404808048/384.1604894048/384.00482000595/256.1007683/5\ 12.1007683001/512.1007683001 float=y maxiter=1024 inside=maxiter logmap=yes periodicity=0 rseed=-2436 colors=000000KA4<7>gcOjgRmjT<3>zzc<9>UOFRKDOGA<3>A00<9>f0Ci0Dl0F<3>z0K<6\ >Z0EV0DR0C<3>A08004000<26>000<4>000<7>Q0UU0YX0a_0dc0hf0l<2>p0w<4>_0dX0aU\ 0Y<2>K0NH0JG0NE1R<3>7UX6`Z4h_2oa0wc<10>2WI2TG2RE<3>4G54D36F5<16>kkammcpo\ e<3>zwm<3>mhZjdVfaS<3>VMCRI8OE4KA0000<43>000<4>000330<6>220220220<3>1100\ 00110110110 } 5b_Mmods_Cosin_Bas { ; Time 02.42.96 ; 1280/1024 reset=2004 type=formula formulafile=mfr_12.frm formulaname=multifractal_12 function=cos/sin/exp/sin passes=t center-mag=0.332423/0.00308737/0.0511977/1/-90/-1.23373533611470521e-014 params=-0.05825983458967864/0.3785210730307932/50000.07595700023/51234.0\ 506030602/152048.0404808048/384.1604894048/384.00482000595/256.1007683/5\ 12.1007683001/512.1007683001 float=y maxiter=1024 inside=maxiter logmap=yes periodicity=0 rseed=-2436 colors=000000KA4<7>gcOjgRmjT<3>zzc<9>UOFRKDOGA<3>A00<9>f0Ci0Dl0F<3>z0K<6\ >Z0EV0DR0C<3>A08004000<26>000<4>000<7>Q0UU0YX0a_0dc0hf0l<2>p0w<4>_0dX0aU\ 0Y<2>K0NH0JG0NE1R<3>7UX6`Z4h_2oa0wc<10>2WI2TG2RE<3>4G54D36F5<16>kkammcpo\ e<3>zwm<3>mhZjdVfaS<3>VMCRI8OE4KA0000<43>000<4>000330<6>220220220<3>1100\ 00110110110 } 6_Phoenix_Basic { ; Time 00.18.18 ; 1280/1024 reset=2004 type=formula formulafile=mfr_12.frm formulaname=multifractal_12 function=cos/exp/exp/sin passes=t center-mag=0.0530235/-0.0039903/0.9981015/1/-90/-1.23373533611470521e-01\ 4 params=-0.05825983458967864/0.3785210730307932/60000.07035700001/51234.0\ 506030602/151024.0204808192/384.32768524288/384.00482000595/256.1007683/\ 512.1007683001/768.2007680082311 float=y maxiter=1024 inside=maxiter periodicity=0 rseed=-2436 colors=000330<5>220220220<3>110000110<2>000KA4<7>gcOjgRmjT<3>zzc<9>UOFRK\ DOGA<3>A00<9>f0Ci0Dl0F<3>z0K<6>Z0EV0DR0C<3>A08004000<26>000<4>000<7>Q0UU\ 0YX0a_0dc0hf0l<2>p0w<4>_0dX0aU0Y<2>K0NH0JG0NE1R<3>7UX6`Z4h_2oa0wc<10>2WI\ 2TG2RE<3>4G54D36F5<16>kkammcpoe<3>zwm<3>mhZjdVfaS<3>VMCRI8OE4KA0000<43>0\ 00<4>000330 } 7_Newton_Basic { ; Time 02.48.18 ; 1280/1024 reset=2004 type=formula formulafile=mfr_12.frm formulaname=multifractal_12 function=exp/sin/exp/sin passes=t center-mag=-0.000670243/0.00308737/0.7444028/1/-90/3.88578058618804789e-\ 016 params=-0.05825983458967864/0.3785210730307932/70000.32595700023/35234.0\ 506030602/151024.0204808192/384.32768524288/384.00482000595/256.1007683/\ 512.1007683001/768.2007680082311 float=y maxiter=1024 inside=maxiter logmap=yes periodicity=0 rseed=-2436 colors=00y000000000wx0twxswwpvwnvu0uu0ttmtr0tq0spksp0rn0pmkokkojjljjkiij\ 0ij000000000y00x00xzyxzxwyvw0tuxouxosvmsulqsj0qiophophm00l00k0hj<3>0hh0g\ h00f0fe0cd0cY00V00U00N00O000<4>000<2>0000800000800A00000K00K0gK0g00hL0hK\ 0jK00K00N00H0kH0k00kS0lU00Z00_0la00d00d0000mh00j00000m0000n000n0000000or\ 0xt0xu0uv0ux0sx0sx00x0<3>0y00000y0<2>0y0zy0zy0zy00y00y0zxyzxvzx0ywu0vt0u\ t0qs0ps0pr00000000r0pq00q00q0000000oqz0000000p00qyo00p00pryqtyqwxqyxqy0q\ xwpvvpvuou0lttjstjq0hotbmsSXsQWsNVpJSpIG00000000F0G00DC0DB09A07606500500\ 406400300000x00xv02vww00w0uwtuwtt2t02s0vs0vr01qr1q0uq00nq0nq0kqukn0il00j\ 0hjt0it60r6gq50i00h00h00300f00S00F00F00E50D00C00C00700000060804805005000\ 800860905900000068z08yp0yqoysoxvoxvo9vo90ox8ow00w0000AtJnrJnpJmoJmnKkiKj\ fKkdK000000C00E00F00F0000000 } 8_Spider_Basic { ; Time 00.50.20 ; 1280/1024 reset=2004 type=formula formulafile=mfr_12.frm formulaname=multifractal_12 function=exp/sin/exp/sin passes=t center-mag=-0.0606262/0.0140242/1.06411/1/-105.000000000000028/1.3107570\ 5844807544e-014 params=-0.008056886501663262/0.04943998535111546/80000.32595700023/25234\ .0506030602/152048.0404808048/384.1604894048/384.00482000595/256.1007683\ /512.1007683001/512.1007683001 float=y maxiter=1024 inside=maxiter logmap=4 periodicity=0 rseed=-2436 colors=000EXw<3>SFlWAi_5fc0ce7_jFRoNIzb0zj0000zr0zz1zzC<2>zzz<3>jqdfo_bl\ U<3>Mb8<3>LQ8KM8KJ8<2>I88H44G00<3>TA5WD6ZF7aI8eLAhMBiODjQF<3>qeBriAtm9vq\ 8xu7zz5zz4zz3<4>zj4zg4zc4<3>zS5zP5zL6zI6zE6wE6tD6<6>vAIv9Kv9M<3>x7Sy7Uy6\ Wz6Yz5_<3>f5Ma5IW4E<2>_4H<3>P3DN2CK2A<3>805G0BO0G<3>g0Ul0Xq0`v0d<2>y0fz0\ gy0h<3>u1mt1ns1or2q<2>v2u<3>c5eZ6`U6X<2>F9LAAG7FO4KW0Qc<3>5Xc6Zc7`c7aa7c\ _7eY<3>FcgHciJbl<3>S_v<3>civflvinvlqvotvsww<2>zzz<3>rwzovzhsw<3>Gch8_d8X\ a<3>8JP8FL8CI<4>XCAaB9fB7<3>zA0<13>SA1QA1NA1<3>D92<6>UXAW`BYcC<3>hrI<6>J\ kgFfpAaz } 8alt_Magnet_Basic { ;Alternative for Spider ; Time 02.16.98 ; 1280/1024 reset=2004 type=formula formulafile=mfr_12.frm formulaname=multifractal_12 function=sin/exp/exp/sin passes=t center-mag=-0.300855/-0.00563554/0.6131608/1/-90/3.88578058618804789e-01\ 6 params=-0.05825983458967864/0.3785210730307932/80000.6459570111/14235.49\ 11030602/152048.0404808035/384.1604894022/384.00482000595/256.1007683001\ /512.1007683001/768.1007683001 float=y maxiter=3071 inside=maxiter periodicity=0 rseed=-2436 colors=000rwzovz<3>NglGch8_d<3>8NS8JP8FL8CI<3>SCCXCAaB9<3>uA2zA0xA0<12>S\ A1QA1NA1<3>D92<6>UXAW`BYcC<3>hrI<3>UnXRm_NlcJkgFfpAaz<3>PJoSFlWAi_5fc0ce\ 7_jFRoNIzb0zj0000zr0zz1zzC<2>zzz<3>jqdfo_blU<3>Mb8<3>LQ8KM8KJ8<2>I88H44G\ 00<3>TA5WD6ZF7aI8eLAhMBiODjQF<3>qeBriAtm9vq8xu7zz5zz4zz3<4>zj4zg4zc4<3>z\ S5zP5zL6zI6zE6wE6tD6<6>vAIv9Kv9M<3>x7Sy7Uy6Wz6Yz5_<3>f5Ma5IW4E<2>_4H<3>P\ 3DN2CK2A<3>805G0BO0G<3>g0Ul0Xq0`v0d<2>y0fz0gy0h<3>u1mt1ns1or2q<2>v2u<3>c\ 5eZ6`U6X<2>F9LAAG7FO4KW0Qc<3>5Xc6Zc7`c7aa7c_7eY<3>FcgHciJbl<3>S_v<3>civf\ lvinvlqvotvsww<2>zzz<2>txz } frm:multifractal_12 { ; Albrecht Niekamp Dec, 2013 ;P1 spider-julia-seed ;RP2 Left: 5 Digit_Channels: (1)shape (2)out (3)ins_1 (4)ins_2 (5)ins_3 ; Frm: 0_off 1_Secant 2_Mand(2) 3_Bees 4_Jul/Manowar 5_Mmods ; 6_Phoenix 7_Newton 8_Spider/Magnet ; Right: 2 Digit_ManyMods_Number of sides 2 Digit_Phoen 2 Digit_Spid ; 1 Digit_TransReset-Shape: 0_no 1_DblMan 2_Iter 3_both +5_warp ; 4 Digit_TransReset-Ch 2-5: 0_no 1_z 2_Iter 3_both +5_warp ;IP2 Left: 5 Digit_Bailout Number for Channels 1 to 5 ; Right: Variables: 4 Digit_Mand/Jul (2var) 2 Digit_Secant 4 Digit_Bees ;RP3 Left: 2 Digit_Newtonvariable 4 Digits_bailout1 ; Right: 4 Digit_bailout2 4 Digit_bailout3 1 Digit_Magnet ;IP3 Left: 4 Digit_Shape: Warp-factor (fn1 is used) ; Right: 4 Digit_bailout4 4 Digit_bailout5 1 digit_mow=2 1 digit_mag=2 ;RP4 Left: 4 Digit_Outside: Warp-factor (fn2 used) ; Right: Outside: 4 Digit+fractdig_Border-out 4 Digit+fractdig_border-in ;IP4 Left: Inside1_Maxiter ; Right: Inside1_Transit: 1_maxit 2_borderout 3_borderin +5_maxit+bord ; 5 Digit_warp factor (fn2 used) 4 Digit+fractaldigit_border1 ;RP5 Left: Inside2_Maxiter ; Right: Inside2_Transit: 1_maxit 2_borderout 3_borderin +5_maxit+bord ; 5 Digit_warp factor (fn3 used) 4 Digit+fractaldigit_border2 ;IP5 Left: Inside3_Maxiter ; Right: Inside3_Transit: 1_maxit 2_borderout 3_borderin +5_maxit+bord ; 5 Digits_Warp factor (fn4 used) 4 Digit+fractaldigit_border3 ;fn(1) shared by many-mods + bees ; z=pixel da=real(p2) dd=trunc(da) tt=dd>0 da=trunc(((da-dd)*100000000000)+11111) dd=trunc(dd+11111) d=trunc(dd/10000) dd=dd-d*10000 d3=(d==4)+(d==5)+(d==8)+(d==9) d4=d3==0 vb=d>5 ex0=(d>1) sc=d==2 mo=d==6 px=d==7 ab=px+(d==3)+(d==5)+(d==9) d=trunc(dd/1000) dd=dd-d*1000 ex1=(d>1) sc1=d==2 mo1=d==6 px1=d==7 v1m=mo1+px1 v1j=d>7 dd1=v1j+(d==4)+(d==5) ab1=px1+(d==3)+(d==5)+(d==9) d=trunc(dd/100) dd=dd-d*100 ex2=(d>1) sc2=d==2 mo2=d==6 px2=d==7 v2m=mo2+px2 v2j=d>7 dd2=v2j+(d==4)+(d==5) ab2=px2+(d==3)+(d==5)+(d==9) d=trunc(dd/10) ex3=(d>1) sc3=d==2 mo3=d==6 px3=d==7 v3m=mo3+px3 v3j=d>7 dd3=v3j+(d==4)+(d==5) ab3=px3+(d==3)+(d==5)+(d==9) d=dd-d*10 ba=imag(p5) mi3=trunc(ba) dd=(d>1)+(mi3>1) ex4=(dd==2) sc4=d==2 mo4=d==6 px4=d==7 v4m=mo4+px4 v4j=d>7 dd4=v4j+(d==4)+(d==5) ab4=px4+(d==3)+(d==5)+(d==9) tt=ex1+ex0+ex2+ex3+ex4 ; mm=trunc(da/1000000000) da=da-mm*1000000000 ph=trunc(da/10000000) da=da-ph*10000000 sp=trunc(da/100000) da=da-sp*100000 d=trunc(da/10000) da=da-d*10000 dm=(d==2)+(d==4) ir0=(d==3)+(d==4) d=trunc(da/1000) w1=d>4 da=da-d*1000 d=d-5*w1 rs1=(d==2)+(d==4) ir1=(d==3)+(d==4) da=da-d*100 d=trunc(da/10) w2=d>4 d=d-5*w2 rs2=(d==2)+(d==4) ir2=(d==3)+(d==4) d=trunc(da/10) w3=d>4 da=da-d*10 d=d-5*w3 rs3=(d==2)+(d==4) ir3=(d==3)+(d==4) w4=da>4 da=da-5*w4 rs4=(da==2)+(da==4) sp=sp/100 ; d=real(p3) dd=trunc(d) da=trunc((d-dd)*10000000000) pp=trunc(dd/10000) ba1=dd-10000*pp ba2=trunc(da/1000000) da=da-1000000*ba2 ba3=trunc(da/100) da=da-100*ba3 mg=trunc(da/10) ; d=imag(p3) sfac=trunc(d) da=trunc((d-sfac)*10000000000) ba4=trunc(da/1000000) da=da-ba4*1000000 ba5=trunc(da/100) da=da-ba5*100 d=trunc(da/10) da=da-d*10 mow=d==2 mag=da==2 ; d=real(p4) ofac=trunc(d) da=trunc((d-ofac)*10000000000) bh=trunc(da/100000)/10 bl=(da-bh*1000000)/10 bs=bl/2 ; d=imag(p2) dd=trunc(d) da=trunc((d-dd)*10000000000) d=trunc(dd/10000) dd=dd-d*10000 bb0=ba1*(d==1)+ba2*(d==2)+ba3*(d==3)+ba4*(d==4)+ba5*(d==5) d=trunc(dd/1000) dd=dd-d*1000 bb1=ba1*(d==1)+ba2*(d==2)+ba3*(d==3)+ba4*(d==4)+ba5*(d==5) d=trunc(dd/100) dd=dd-d*100 bb2=ba1*(d==1)+ba2*(d==2)+ba3*(d==3)+ba4*(d==4)+ba5*(d==5) d=trunc(dd/10) dd=dd-d*10 bb3=ba1*(d==1)+ba2*(d==2)+ba3*(d==3)+ba4*(d==4)+ba5*(d==5) d=dd bb4=ba1*(d==1)+ba2*(d==2)+ba3*(d==3)+ba4*(d==4)+ba5*(d==5) ; d=da p0=trunc(d/100000000)/10 d=d-p0*1000000000 p6=trunc(d/1000000)/10 d=d-p6*10000000 p7=trunc(d/10000)/10 d=d-p7*100000 dp=p6+p0/100 p8=trunc(d/100)/100 d=d-p8*10000 p9=d/100 ; d=imag(p4) mi1=trunc(d) da=trunc((d-mi1)*100000000000) d=trunc(da/10000000000) bt1=d>6 da=da-d*10000000000 d=d-5*bt1 dt1=d>1 iv1=d==3 fac1=trunc(da/100000) da=da-fac1*100000 bo1=(da/100000)/10 ; d=real(p5) mi2=trunc(d) da=trunc((d-mi2)*100000000000) d=trunc(da/10000000000) bt2=d>6 da=da-d*10000000000 d=d-5*bt2 dt2=d>1 iv2=d==3 fac2=trunc(da/100000) da=da-fac2*100000 bo2=(da/100000)/10 ; d=imag(p5) mi3=trunc(d) da=trunc((d-mi3)*100000000000) d=trunc(da/10000000000) bt3=d>6 da=da-d*10000000000 d=d-5*bt3 dt3=d>1 iv3=(d==3) fac3=trunc(da/100000) da=da-fac3*100000 bo3=(da/100000)/10 ; if (vb) if (d3) if (ab) if (mag) c=z z=pixel x=mg x=x+(x==0)*3 ;magnet else z=pixel ;Spider c=p1 endif else z=pixel ;newton c=p1 endif elseif (ab) c=z ;Phoenix z=pixel else c=0.4*log(sqr(z^mm)) ;many mods z=0 endif elseif (d3) if (ab) if (mow) ;manowar mt = (4 * (real(p2)<=0) + real(p2) * (0<p2) ) c=p1 z=pixel else c=p1 ;Julia z=pixel endif else ;bees c=p1 z=pixel endif elseif (ab) c=z ;Mandel z=0 else c=z ;Secant z=pixel endif t=0 bo=|z| p=pp z0=p7 zold=(0.0,0.0) cb=p9 ba=bb0 : if (tt>0) t=t+1 if (ex0) ex0=t<mi1 if (bo>bs) u=2*(fn1(t/sfac)) ex0=0 if (ir0) t=0 endif if (d4) z=z*u if (mo) c=0.4*log(sqr(z^mm)) else c=pixel endif else z=pixel cb=p9*u c=p1*u p=pp*u endif tt=tt-1+ex0 endif elseif ((ex1)&&bo>bl) if (bo<bh) d3=dd1 ba=bb1 ab=ab1 ex1=0 tt=tt-1 if (w1) u=2*(fn2(t/ofac)) else u=1,0 endif if (ir1) t=0 endif if (d3) vb=v1j if (rs1) z=pixel cb=p9*u c=p1*u p=pp*u else c=p1 z=z*u cb=p9 endif else vb=v1m if (rs1) c=z*u z=pixel*(sc1+px1) z0=p7*u ph=ph*u else c=z z=z*u endif if (mo1) c=0.4*log(sqr(z^mm)) endif endif endif elseif (ex2) if (dt1) if (iv1) d=bo>bo1 else d=bo<bo1 endif if (bt1) d=d+(t>mi1) endif else d=t>mi1 endif if (d) ab=ab2 d3=dd2 ba=bb2 ex2=0 tt=tt-1 if (w2) u=2*(fn2(t/fac1)) else u=1,0 endif if (ir2) t=0 endif if (d3) vb=v2j if (rs2) z=pixel cb=p9*u c=p1*u p=pp*u else cb=p9 c=p1 z=z*u endif else vb=v2m if (rs2) c=z*u z=pixel*(sc2+px2) z0=p7*u ph=ph*u else c=z z=z*u endif if (mo2) c=0.4*log(sqr(z^mm)) endif endif endif elseif (ex3) if (dt2) if (iv2) d=bo>bo2 else d=bo<bo2 endif if (bt2) d=d+(t>mi2) endif else d=t>mi2 endif if (d) ab=ab3 d3=dd3 ba=bb3 ex3=0 tt=tt-1 if (w3) u=2*(fn3(t/fac2)) else u=1,0 endif if (ir3) t=0 endif if (d3) vb=v3j if (rs3) z=pixel cb=p9*u c=p1*u p=pp*u else cb=p9 c=p1 z=z*u endif else vb=v3m if (rs3) c=z*u z=pixel*(sc3+px3) z0=p7*u ph=ph*u else c=z z=z*u endif vb=v3m if (mo3) c=0.4*log(sqr(z^mm)) endif endif endif elseif (ex4) if (dt3) if (iv3) d=bo>bo3 else d=bo<bo3 endif if (bt3) d=d+(t>mi3) endif else d=t>mi3 endif if (d) ab=ab4 d3=dd4 ba=bb4 ex4=0 tt=0 if (w4) u=2*(fn4(t/fac3)) else u=1,0 endif if (d3) vb=v4j if (rs4) z=pixel cb=p9*u c=p1*u p=pp*u else cb=p9 c=p1 z=z*u endif else vb=v4m if (rs4) c=z*u z=pixel*(sc4+px4) z0=p7*u ph=ph*u else c=z z=z*u endif if (mo4) c=0.4*log(sqr(z^mm)) endif endif endif endif endif if (vb) if (d3) if (ab) if (mag) ;magnet z=((z^x+c-1)/(2*z+c-2))^(x-1) else z=z*z+c ;Spiderjul c=c*sp+z endif else z1=z^p-1 ;newton z2=p*z*z z=z-z1/z2 endif elseif (ab) z1=z*z+0.56+ph/100-0.5*zold ;Phoenix zold=z z=z1 else z2=fn1(z)+c ;Many_mods z1=cos(z2) z=c*(1-z1)/(1+z1) endif elseif (d3) if (ab) if (mow) z1 = z ;manowar oldz = z z = sqr(oldz) + z1 + c z1 = oldz else z2=z*z ;Julia z=z2*z2+p6*z2+c-p0 endif else z1=fn1(z)-cb ;Bees z2=z1^p8-1 z3=p8*(z1^(p8-1)) z=z-(z2/z3) endif elseif (ab) if (dm) z=z*z+c+c*c-dp ;Double Mandel else z2=z*z ;Mandel z=z2*z2+p6*z2+c-p0 endif else z3=z ;Secant z1=z0*z0*z0*z0-1 z2=z*z*z*z-1 z=z-z2*(z-z0)/(z2-z1) z0=z3 endif bo=|z| bo<ba }

1 0

FOTD 04-02-14 (Out on a Limb [A-4,M-3])
by Jim Muth 04 Feb '14

04 Feb '14

FOTD -- February 04, 2014 (Rating A-4,M-3) Fractal visionaries and enthusiasts: Today's image is a quickie diversion in the environs of a minibrot on the main spike of the Mandelbrot set, not far from its tip. The ratings for the image are so low because there is little to the art and nothing new in the math. The name "Out on a Limb" refers to the location of the scene. The calculation time of 2-1/4 minutes is actually quite fast for an arbitrary precision image, though the quickest way to view the image is still to 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> The day began with sun here at Fractal Central, but clouds appeared by 10am and thickened during the rest of the day, until at sunset it appeared as though the forecast snow and ice storm was on the FC doorstep. The temperature rose from 1F -17C at sunrise to an afternoon high of 28F -2C. The fractal cats did their best to keep warm by chasing each other up and down the hallway from the kitchen to the living room. Meanwhile, the humans had other stuff to do. The next FOTD will be posted soon, most likely in 24 hours. Until next time, take care, and the vast literature devoted to 'explaining the meaning of life' is a symptom of an underlying psychological disease. Healthy people do not brood over medical books. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Out_on_a_Limb { ; time=0:02:15.00 SF5 at 2000MHZ reset=2004 type=mandel center-mag=-1.9420723379900\ 12063/4.323698075689181e-004/1.826671e+014/1/80/0 params=0/0 float=y maxiter=1000 bailout=16 inside=0 logmap=179 periodicity=6 colors=000gSogRogQofPoeOodNocMobLoaKn_JmYIlWHkUGjS\ FiQEgOFcMGZKHUIIPGJKEKACJAAHA9G85G62F20E00D00C60B4\ 0A2090080060040020000DFzBEvAEr8Em7Dh5Dc4DZ2CU1CP0C\ K0BF0BA075000000ViDNa8FV37O00H0zzzzkMzY5mU0cP0UK0K\ F0AA03A00A00A00A0TOzQNzNMzKLzIKzFJzCImAHc7GU4FK1E5\ 0D10C00B0zzzmmzcczUUzKKm8Ac0AU7QK1KA0F0PLILJFIICEH\ 9BG68F34E01D00C00B0zz0mm0cc0YV0TT0OQ0KO0FM0AJ05H00\ E00C00zL0tH0mD0f90`50U10N00G0CzYAwU9sR7oO6kL4gH3cE\ 1`B0X80T50P10L00H00D0bH5ZG3WG2TF1QF0NE0JE0GD0DD0AC\ 07C03B00B00A00A0JkMDcF7W82P20H0BD08C05C02B00B00A00\ A0DBfBAa9AX7AS5AN3AI1AD0A80A30A00A0eyJXpEPg9G_48R0\ 0I0ks0cm0Xg0Qa0JX0CR05L00F0`zeRqVIfK9WA0L0qzMlyJhu\ HdqF`nDXjBSf8Ob6K_4GW2CS07O03L00Ho0DoUOoPMoSjoOlo_\ poksoKpo0no0yo2zo1zo0zo0zo0zoVzHVzEVzAVz7Vz3Vz0Vz0\ Vz0dz0dz8dz6dz4dz2dz0dz0dz0qz0qz0qz0qzhqzVqzHqz3qz\ PqzKqzGqzBqz7qz2qz0qz0qzT } END PARAMETER FILE=========================================

1 0

MOTD 050214 Strange Beauty
by Albrechtx 04 Feb '14

04 Feb '14

HI, ; could not find a better name, maybe if you have an idea please tell me. After completion I watched it for maybe half an hour fascinated by it´s strange beauty but could not determine which parts of the basic image have created it as MFR12 mixes them so perfectly. Any comments are welcome. ; https://www.dropbox.com/sh/q3j5mh1o8k22ki2/LqZ8ImJg9H ; Cheers, Albrecht

1 0

FOTD 03-02-14 (The Big Break-Up [A-5,M-8])
by Jim Muth 04 Feb '14

04 Feb '14

FOTD -- February 03, 2014 (Rating A-5,M-8) Fractal visionaries and enthusiasts: Today's image lies in the hyper stuff filling an unresolved filament in the East Valley area of yesterday's image. Its name is "The Big Break-Up", which does not refer to a failed love relationship, (sorry ladies) but rather to the two arms at the center of the image that have broken off from the other four. The image is actually a two-dimensional slice through the four- dimensional HyperMandelbrot set. And this 4-D HyperMandelbrot set is a 4-D slice through its parent eight-dimensional Juli- brot. I'll make no effort to describe things possible in 8-D space; It's hard enough to describe things in 4-D space. But one thing certain is that: 8 lines 28 planes 56 3-spaces 70 4-spaces 56 5-spaces 28 6-spaces 8 7-spaces pass through every point in 8-D space. Not surprisingly, this series of numbers appears in Pascal's Triangle, as do many other interesting number series. Down to this point, the near circular hyper-holes have had six broad arms converging toward their centers. But in today's image, two of these arms, the two on the right, are breaking away from the main mass, and from here on down there are only four arms converging on the centers of the holes. Will two more arms break away somewhere down in the bottomless depths and leave us with only two converging arms? I have no idea, but the number of arms remains at four as far as the Fractint program can take us. As far as I can see, there is too little art in the image for a rating above an everyday average 5. The math aspect is far more interesting however, and rates an 8. The calculation time of 1-1/3 minutes is fast enough to prevent impatience, but the task of setting up and running the included parameter file remains unsolved. The web sites will solve this situation. Calculation is really not much fun, so avoid it by checking the finished image on the 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> Snow began at daybreak here at Fractal Central today, and continued at a moderate rate all morning, piling up to about 5 inches or 13cm by the time it ended in the afternoon. The fractal cats were amused by the falling snow for an hour or so, then kept themselves busy by chasing each other up and down the hallway. The humans were in work mode in the morning, but we shifted to snow-clearing mode in the afternoon. The next FOTD will be posted shortly. To see how shortly, check back here at frequent intervals. Until this big fractal event happens, take care, and when someone claims that matter is the ultimate reality, I don't mind; and when someone else claims that mind is the ultimate reality, it doesn't matter. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= The_Big_Break-Up { ; time=0:01:20.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=HyperMandelbrot2 center-mag=-0.7544388\ 80647367/+0.05254690385569359/5.8041e+010/1/58.25/0 params=0/0/0/0/0.5/0/1e-100/0 inside=0 maxiter=1310 float=y logmap=1052 periodicity=0 mathtolerance=0/1 colors=0004AX5BW6CU8DSAEQCFOEGMGFKJEIODGTCEYBCcAAr\ u0qt0ps0nr0mq0lp0jo6inAhmEelIbiM_fQXcUV`XSY_PVbMRe\ JOhHLkEInBFq8Ct69w9BuBDsDFqFHoHJmJKlLMjNOhQQfSSdUT\ cWVaYX__ZYa`_caddcieemfgqghtgjwhlzimzjozjqzkrzltzz\ vzzwzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzSCQ`KNiTKr`HmbLic\ OdeR`fUXhXSi_OkbKleImaGnYEoUCpQAqM8rI7rEEsBKt9Qt7W\ u5au3enDigNmaWqVeuOoxIxU5EiCXyJoqQjjWeca`WgWPmRIsM\ PRZRWcS_hUcmVgrQjlLmfHp`NiYSbWYXTbQRhKOmDMr7Kj_Jkb\ IleHmhGnjFomEppDqsCquBmpFjlJghNddQ`_UYWYVSaSOdZTid\ YmjbqpguvlyweswZnxSixLdYfgXbdW_bVW_TSXSPVRLSQHPPEN\ OAKN6HM3FL6IL9LLCNLFQLISLLVKOXKR_KUaKXdK_fKbiKdkOe\ iSfhWgg_hfcidgjckkbolamm_lmZjmXimWgmVfmTdmScmRbnP`\ nO_nMYnLXnKVnIUnHTnGyE1xG4wI7vKAuLCtNFsPIrQKqSNpUQ\ oVSfPNYKIQFDPDEOCFNBGMAHL9IK8JK7KJ6LI5MH4NG3OF2PF1\ QH5TI8WJBZKEaLHdMKgNNitWK } frm:HyperMandelbrot2 {; periodicity must be turned off a=(p1),b=(p2): q=sqr(a)-sqr(b)+pixel, b=(p3+2)*a*b+p4, a=q, |a|+|b| <= 100 } END PARAMETER FILE=========================================

1 0

58484-w7a
by Albrechtx 03 Feb '14

03 Feb '14

HI, while Hal is running his tests on the new software, here is a terrific image to keep you waiting. Single link and par included. The previous link also includes the latest and possibly (pending Hal´s tests) final MFR12 edition. It is fully compatible, all previous images load w/o difference. ; previous link containing latest MFR12: https://www.dropbox.com/sh/iywqw0gettwr2vb/Gti9PR9eGO image: https://www.dropbox.com/s/dgtapcolu7us1ur/58484TS2.GIF ; Albrecht ; =============================start parameter=============================== 58484-w7a { ; mmods-magnet-manowar-magnetwarp-manowarwarp ; inside2 and inside3 warped ; Time 0.0.21.81 reset=2004 type=formula formulafile=mfr_12.frm formulaname=multifractal_12 function=sin/exp/tan/cosh passes=t center-mag=-470.403/0.00308737/28.60959/1/-90/-1.23373533611470521e-014 params=1.42593798638874/0.444792016357921/58484.09595701157/51222.050603\ 0602/150248.0404808025/384.1604894022/384.00482000595/1280.1000763001/19\ 20.1002393001/2560.1003293001 float=y maxiter=3072 inside=maxiter outside=tdis logmap=yes periodicity=0 rseed=-2436 colors=000cA4<10>n89o89p8A<3>t8Bu8Bw7Cw8Dv8Dv9E<5>xAVxAXxA_<3>zCjzCmzCmz\ CmzzzYXc<3>JhnFkqBnt7qw<15>KGaLE`MBZ<2>P4VQ1TT4U<3>bGZdK_gN`<3>r_f<3>ggP\ eiKbkF<2>Uq1Xq2_q4<3>MU7JO7FI8<2>40B<3>50E50F50G50H00E<2>A8TEHaIQj3Yqbe_\ FYI0L0<3>yrB<3>yB3z00t60<3>UY0Nd0Gk0<2>ns1zz0<3>zI4z66w67<3>h3Fe2Ha1JY0L\ <3>t8qzAzuAv<3>ZEdTE`OFX<2>6IJ<3>YcMdiMknNrtOzzP<3>`_QVTQOMRIFRB8S<3>8Yk\ 7dp6ku5rz<3>6go6dl7bj<3>8R_8OX9LU9IR<6>8YG8_F8bD<3>6k76n56p35s25u0<3>5c0\ 5Z05U0<3>5B0<3>UY0`b0fh0<2>zz0<6>oc1m`1lX1<2>hN3fK3dH3bE3`A3aA3bA4 }

5 25

MOTD 040213 Kaleidoscope
by Albrechtx 03 Feb '14

03 Feb '14

Hi, ; images not possible to create with any other frm or fractal program. The title was used because almost every color is showing. The images once again dont look like fractals, more like paintings with almost no self similarity. 1. Kalaidoscope circles (86475-05) 2. Kaleidoscope Spiral (86475-06) 3. Both in one image! (86475-10) ; https://www.dropbox.com/sh/44kyiwmpusd4ojo/hitnPxUFBq ; Cheers, Albrecht

1 0

AOTD 1/25/14
by JackOfTradeZ＠comcast.net 03 Feb '14

03 Feb '14

. Animation of FOTD 12/12/13 (Rags of Time) is posted, all 22,261 frames of it! It is over 6 minutes long and 91 MEG download. Since it is so big (it took less than 10 minutes to upload, should be less to download) I decided to take the advise that some here have given - it is uploaded as the native video file rather than zip archive, so it should open up your player and begin running as you are downloading - thus you can decide if you like it or not before downloading the entire file. . http://www.fractal-animation.net/special/ecclesia.wmv . Comments welcome as always! JoTz .

4 3

MOTD 020214
by Albrechtx 03 Feb '14

03 Feb '14

HI, ; to continue the series of spectacular images possible with MFR12 here are two of that kind, zooms into the same basic image. They only have one thing in common: they need a good highres monitor with brilliant colors. Titles: Fantastic Structure (84675-08) Distant Universe (84675-07) David, you called MFR12 a magic frm. Thanks for your comments, these images prove you are right, I think. Cheers, Albrecht ; https://www.dropbox.com/sh/wl87yz78fwaqdpm/DCZQH_6WDr

1 0

FOTD 02-02-14 (Unresolved Magic [A-5,M-7])
by Jim Muth 03 Feb '14

03 Feb '14

FOTD -- February 02, 2014 (Rating A-5,M-7) Fractal visionaries and enthusiasts: Today's image illustrates a minibrot in a state of psychological fugue. It appears to have totally forgotten what it is supposed to look like. To begin, the minibrot is quite under-resolved, as becomes apparent when the real(p3) parameter is reset to zero. Next, an under-resolved minibrot is supposed to be empty inside, and not filled with the massive converging arms that fill today's minibrot. Finally, raising the maxiter of today's image has very little effect on the image. The resolution of the minibrot does not increase, nor does any new 'material' appear. The whole thing remains a mystery, which is what inspired the name "Unresolved Magic". Adding to the mystery is the unexpected hyper-stuff filling the unresolved filaments radiating from the minibrot. I have yet to check this stuff, which I am seeing for the first time in today's image. I expect to find little of interest in it however. The scene is located on the main stem of a larger confused minibrot on the west side of the north branch of Seahorse Valley of the parent Mandelbrot set, which is itself rather confused. The calculation time of 3 minutes is rather slow, especially for those who enjoy looking at fractals rather than trying to fathom why they exist. But these fans may find time relief on the web sites. Check the mysterious image on the 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 heavy clouds and occasional light rain here at Fractal Central today left lots of room for improvement, while the temperature of 39F +4C simply added to the unpleasantness. The fractal cats, who passed the day getting into harmless tussles, had little time to worry about the weather. Meanwhile, the fractal humans passed the day wondering what's wrong with our so-called modern civilized world. The next FOTD will be posted soon, most likely in 24 hours. Until whenever, take care, and when we explain material things in terms of the mind, we are explaining things little known in terms of things better though still inadequately known, whereas when we explain mental things in terms of matter, we are explaining things inadequately known in terms of things even less known. (As for me, I know my own mind [me] better than the matter [not me] that I appear to see 'out there'.) Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Unresolved_Magic { ; time=0:03:00.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=HyperMandelbrot2 passes=1 center-mag=-0.754439393848/+0.052548973163/485000/\ 1/70/0 params=0/0/0/0/0.5/0/1e-100/0 float=y maxiter=1110 inside=0 logmap=-675 periodicity=0 colors=000cUUcUUcUUbUUaUU_UUYUUWUUUUUSUUQUUOUUMUUK\ UUAUUFXUM_USbUZeUehUlkQ1ly9msHmmPmgWmacmWkmQUgEWhF\ XhFYhFZhG_iG`iGaiHbiHcjHdjHejIfjIgkIhkJikJjkJklJgG\ T`OVUWXNcZGb`9hb2odAjiJenHifEmZCpRf6LQPFVPOURNTUMS\ WMTUOUSQVQSWOUWMUSKTPJPMILJGHGFDDD9AC5OACa9Jn8QTbN\ UaLVaJW`HX_FY_EWYFVXGUWHSVHRUIQTJPSKNRKMQLLPMrR8rk\ LrS9rUArVBrXCrYCr_Dr`ErbFrcGreHrfHrhIriJrkKrlLhpji\ ohjofkodlobln`mnZnnXonVomTpmRqmPrmNsS9rUArVBrWBrXC\ rZDr_Dr`EraFrbFrdGreHrfHrgIriJrjJrkKrlLQb0Sc2Ud3We\ 4Ye6_f7`g8bgAdhBfiChiEijFkkGmkIolJqmKLxzPvuSuqWtmZ\ siareem`hmXlmTohPvh0um3um5tm7tm9tmBswDswFrwHrwJmwK\ nwLnwLnwLnwLowLowLowLowLowLpwLpwLpmLpzLzzzzzzqzLqz\ LqzLrzLrzLrzLrzLK83MB4OD5QF6SI7KcjIciHchGcgE`fDYeC\ VdBSc9Pb8Ma7I`6E_68Z65Y65X65W65W65X65X64Y64Y64Y88Z\ ABZBE_DG_EI_GK`HM`JO`KQaMSaNUaPWbQYbS_bTacUceUegUg\ iUikUkmUmoUoqUqsUsuUuzUwz } frm:HyperMandelbrot2 {; periodicity must be turned off a=(p1),b=(p2): q=sqr(a)-sqr(b)+pixel, b=(p3+2)*a*b+p4, a=q, |a|+|b| <= 100 } END PARAMETER FILE=========================================

1 0

MFR12 Bugfix
by Albrechtx 02 Feb '14

02 Feb '14

HI, there has been a minor bugfix for Multifractal_12. 3 images previously presented had to be recalculated and are included in the link, also a zoom into the last image presented before my trip: 35187-4c.gif. The Cockfight image 63718-1.gif is now calculated with Multifractal_10. Please just replace the images and the frm included. Cheers, Albrecht ; https://www.dropbox.com/sh/xjbo8hhevf8qfdl/3cEhzHcjao

1 0

FOTD 31-01-14 (The Inside Story [A-7,M-7])
by Jim Muth 31 Jan '14

31 Jan '14

FOTD -- January 31, 2014 (Rating A-7,M-7) Fractal visionaries and enthusiasts: Today's scene lies in the west branch of the prominent north valley of the HyperMandelbrot set. It features a minibrot that is rather attractive even on its own merit, and becomes even more interesting when filled with hyper stuff. I named the image "The Inside Story" because of the detail filling the minibrot. This detail surely has an untold story behind it, and when I find the story, I'll tell it. (Sadly, today is not that day.) On my rating scale, both the art and math aspects rate a 7, which is above average but nothing to get excited about. This makes the 3-3/4 minute calculation time a bit too high a price to pay for the privilege of viewing the hyper stuff. Once again however, the web sites bring relief for time stress. The image is posted already calculated 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> Lots of clouds and only a little sun prevailed here at Fractal Central today, but the relatively warm temperature of 36F +2C gave a welcome hint of spring, relatively speaking, that is. The fractal cats had a slow day, with Nico sleeping under a chair cover and Jazzy in a chair in her favorite room. The humans had an uneventful day, great to experience but boring to report. The next FOTD will not be posted until February 2. Until then, take care, and those who believe only half of what they hear from the government and see on the media are probably closer to the true facts than those who naively believe everything. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= The_Inside_Story { ; time=0:03:45.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=HyperMandelbrot2 passes=1 float=y center-mag=-0.1547030358398/+1.0375015318446/5.512\ 308e+007/1/90/0 params=0/0/0/0/0.125/0/1e-100/0 maxiter=4200 inside=255 logmap=-1040 periodicity=0 colors=000755EwCGsDIpDJmELjENgFOdFQaGU`ERZGPXHNVIL\ TJJSKHQLFOMDMNBLO9JP7HQ5FR3ES6DR9CQBBPEAOACMGAOL9P\ Q8QW7S`5Te4Uk3Wp2Xu1Yp3Sk4Nf6Ha7CX96TA1VE4XH7ZKA_N\ DaQGcTJeWMfZOhaRjdUlgXmj_ombqpesshtvjjp_ajPVpgkzzr\ zxgzz`rzRnzRluRjpRhlSgjSehScfSadT_bTY`TWZUUVTVXSWY\ RX_QX`QYbPZcOZdN_fM`gMaiLajKblJcmIbuJcnJdhKdbKeXKf\ QLfKLgEMnALg8Ka7JW6JP4IJ3HD2H71oKVlNSjQQgSNeVLcYJ`\ _GZbEXeCUg9Sj7Ql5Vj6_i6cg6hf7md7qc7rfDshJtjOulUvnZ\ wpdfBZwriunftjcsg`rcZq_WpXTnTRmQOlMLkIJjFGiBDj37h8\ BfDFeHJcMMbQQ`VUZ_XYc`WhdRmkVlgYkd`jacjZfiWihTlhQm\ fOndMnbKo`IoZGpXEtZ5pVCmRJiOPfKWbGb_DhW9oS3tT6uT8u\ TAuTCuTEvTGvUJvULvUNwUPwURwUTwUVwVXvWYvW_vsaosYlJA\ FIAEIAEIAEHADHBDGBCGBCOJCKQCFXD5NDsUjsQhsMffOQV09T\ 0AR0AP0AN0AL0AJ0AH0AF0AD0AC0AB0CA0E85H78K6BN5EQEIP\ NMNWKLdUJmbHziFvhBwk9xl7ypDzuJzwPzxUzyYzzazzezzizz\ mzzrzzvzzzzzzzzzzzzzzzzzz } frm:HyperMandelbrot2 {; periodicity must be turned off a=(p1),b=(p2): q=sqr(a)-sqr(b)+pixel, b=(p3+2)*a*b+p4, a=q, |a|+|b| <= 100 } END PARAMETER FILE=========================================

1 0

FOTD 30-01-14 (Something New [A-7,M-8.5])
by Jim Muth 30 Jan '14

30 Jan '14

FOTD -- January 30, 2014 (Rating A-7,M-8.5) Fractal visionaries and enthusiasts: With today's image we enter hyper-land. The image shows an under-resolved high-order 'star' on the southern shore of East Valley of the HyperMandelbrot set. If the fractal were the classic 2-D Mandelbrot set, the brilliant orangish area in the center would be a large circular black area consisting of inside points whose ultimate escape was missed because they lie beyond the relatively small image maxiter of 580. But this is not the classic M-set, and something strange has happened. What should be a blank open area has been filled in by strange new stuff unlike anything usually found in East Valley of the M-set. Curiously, increasing the maxiter of today's image has almost no effect. The low-maxiter hyper stuff in the center has permanently obliterated the higher maxiter stuff that would normally be expected to fill the open area, and raising the maxiter reveals no additional hyper-stuff. Once again, I have no idea what this new stuff is, but whatever it is, I am becoming more convinced that it is not merely a result of math imprecision. Hopefully, things will become clearer as I continue the investigation. The art worth is not all that great, and rates a 7. The math however is quite interesting, fully worth the rating of 8.5. The name "Something New" refers to the blueish horn-like feature filling the circular area. The calculation time of 1-2/3 minutes is well within reason, making the web sites more of a convenience than a necessity. The strange hyper 'object' may be seen without the need of running the included parameter file 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> Cloudless skies and light winds made the temperature of 25F -4C feel almost like spring here at Fractal Central today. At least the fractal cats thought so, as they lounged in whatever sun they could find on the floor and took turns enjoying the sun on their shelf in the southwest window. The fractal humans spent the day laughing at the near-hysterical reports from Atlanta, GA, which was brought to a total stop by a little over 2 inches or 6cm of snow, something that would hardly be worth mentioning here in Central Pennsylvania. The next FOTD will be posted in a day or so. Many hyper-fractal wonders remain to be discovered, so don't miss it. Until the time passes, take care, and as I read the current books about cosmology or the quantum, I wonder whatever happened to the days when science was done by observing, theorizing, testing and con- firming. Scientists nowadays seem to have ensconced themselves in an ivory tower, from where they make unprovable pronounce- ments that they cannot confirm or even understand themselves. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Something_New { ; time=0:01:40.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=HyperMandelbrot2 passes=1 center-mag=+0.254502506168/-0.000471615013/649000/\ 1/47.5/0 params=0/0/0/0/0.997/0/1e-100/0 float=y maxiter=580 inside=0 periodicity=0 colors=000cFTdFUdFVdEWeEXeEYeEZfE_fD`fDagDbgDcgDdg\ DeeGccJbbMa`P__SZYVYXXXnQ1kT3iW4gZ6ea7cd9agAZjBcmD\ hpEmrGrpHvmJzkKziLzgOzeLzdJzcGzcEwcBtc9uc8re7ph6nk\ 6ln5jq4ht4fqC`nJYhQUdYR`dOYkLWrJUsIQsGNtFKtDHuCEuB\ BuD8rF7pGAnIFlKKjLPhNTfPXdQ`bSd`TgZNfVSgUWhT_iSdjR\ hkQllPigMgcKd_IbVF_RDKjwJjvIjuGjtFjsDjrCjqBjp9jo8j\ n6jm5jl4jkTdWqZHo_Jm_Kl_Lj_Mi_Og_Pe_Qd_Rb_Ta_U__VZ\ _WUXUQUTMRRHOQDLO9IN1HM5GM9GMDGMHFMKFMOFMSEMWEMZEM\ bDMfDMjDMmDMnGQnIUnKYnNanPdoRhcUlcWpcYtc_wc`vh`vea\ vbav_bvWbvTcvQcvNdvKdvGevDevAfv7fv0dz4fv7grBinEjjI\ lfLmbPoZSpVWrRZsNbuJjzEevG`sHWpJSmKNjMIgNDdP8_O9aQ\ AcRAdTBfUCgWCiXDjZDl_En`FobFqcGreHtfHuhIwiEznIxjLw\ fOvcSu_VtXYsTarPdqMgpIkoFnnBsl5qm8onAmoClpEjqHhqJf\ rLesNctQauS_vUYwYZvWZuVZtUZsTZrSZqRZpQZoPZnO_sJZmN\ YhQYcTXYWWTZUXhWOaZCXXFWWHVVJUUMTTOSSQRRSRQVQPXPOZ\ ONaNMcMLeLTu3gRQbGPcFRcFS } frm:HyperMandelbrot2 {; periodicity must be turned off a=(p1),b=(p2): q=sqr(a)-sqr(b)+pixel, b=(p3+2)*a*b+p4, a=q, |a|+|b| <= 100 } END PARAMETER FILE=========================================

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FOTD 29-01-14 (The Upper Magnitude [A-7,M-no rating])
by Jim Muth 30 Jan '14

30 Jan '14

FOTD -- January 29, 2014 (Rating A-7,M-no rating) Fractal visionaries and enthusiasts: Today's Mandelbrot set scene lies deep in yesterday's Hypermandelbrot image. Only the few Hypermandelbrot parts of the parent fractal have been omitted. In my opinion, the art rates a 7, being held down by coloring that is a bit too chaotic. I declined to rate the math, since the formula, Z^2+C, is the most basic of all fractal formulas and has been overused to near infinity. The name "The Upper Magnitude" refers to the relatively high magnitude of the scene. This high magnitude requires arbitrary precision math however, which makes the image a very slow one, requiring almost a half-hour to complete. But here is where the web sites shine by eliminating the need to calculate the image. View the completed 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> The sky here at Fractal Central today was as clear and blue as it ever gets anywhere, but the daybreak temperature of -4F -20C kept all thoughts of spring far away. The afternoon high of 19F -7C was a little better, but nowhere near making Central Pennsyl- vania a balmy midwinter resort. Fractal cat Nico gave Jazzy a good cussing when she wanted to play and he didn't, but it didn't bother her very much, since she soon found a slip of paper to tear apart. The fractal humans had a reasonable day, which is only human. The next FOTD will be posted sooner rather than later. So fight ambiguity by checking back frequently. Until whenever, take care, and what could we call an Atheist who does believe in God? Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= The_UpperMagnitude { ; time=0:25:00.00 SF5 at 2000MHZ reset=2004 type=mandel passes=1 center-mag=-1.8613\ 63845934888641/1.428728959187221e-4/2.608207e+014/\ 1/-152.5/0 params=0/0 float=y maxiter=5750 inside=0 logmap=1174 periodicity=6 colors=000k9Gj7Oi6Vh5ag3\ if2pe1wfBpfKjfUdfbYflSfuMaoPXiRTcTOZWKTYFN_BIahtpa\ olWkiQgfKbcEZ`8VY2RVOfLQhPSjTUlXWn_Ypc_rg`tjUhCZfF\ ceHhcJmbMr`Ov_QjeNZjKNpHBuElzXjrQhkKgdEafKXhPRjVMl\ _HneBpj6rp1su9pvGnvNkvVivafvhdvnbhsaVE9lKIfQRaWZWa\ gRfoM`eJVWHQMEKCCF2AE6CDADDEFCIGCMH`LNyLSwIOuGLsEI\ qBEo9Bm78l55gMGbaQgfRkjRooSssSwwSvqUukVtfcs`mrWzf9\ zMQz1fz7azDXzJSzRRmzQhzQszSkRTdLUYEWQ7XJ1YCDaJPdQ`\ gXljcwmiolcgkZ`jUTiPMhKEgF7fAFeHNeOVeVbeajehiachYZ\ gUVfQQeMMdIHdFDVRELbEBnF1zFKrKbjPtbUeSWRHYC70H60M5\ 0R40W6A_8KcAUhCUlESpGRtIQpPRmVRj`RgfRdlRaiKZfEW`8T\ NFQILN9RK7XH5bE3hB2nzeBm`Cc7AU99KB86D63F50H49P6HW8\ PbAYiCepEmwUkmcjdmiVmhMmdOmaPmZQzWRzSTzPUzMVzJWzNR\ zRMzVHzzCSz7Uz2VzU_zudzm_zfVzQkzK`zEQAwWzqVzlUzfTz\ aSzXRfWPeWNcVLbVJaVH_UFZUDYUBXjh9viFzbLzXQzQWzKazD\ Fzozzjzzezz`zzWzzRzzMzz1zz8zzGzzOzzWzzczzWzzNzzEzz2 } END PARAMETER FILE=========================================

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FOTD 28-01-14 (Augmented Minibrot [A-8,M-8])
by Jim Muth 29 Jan '14

29 Jan '14

FOTD -- January 28, 2014 (Rating A-8,M-8) Fractal visionaries and enthusiasts: Except for the stuff condensing inside the central minibrot, today's image is a typical scene in Scepter Valley of a minibrot just beyond the large minibrot on the main spike of the Mandelbrot set. The 'stuff' filling the minibrot is a sign of higher dimensional HyperMandelbrot elements filtering into the plane of the M-set. I don't know exactly what this stuff is, perhaps I never will, but whatever it is, it creates a rather attractive effect. I named the image "Augmented Minibrot" because the minibrot in the scene holds more interest than the average one. The art and math values both rate an 8, at least in my opinion, and my opinion is what decides the FOTD ratings. The calculation time of 2 minutes will cause no undue stress or anxiety. And the chore of calculating may be totally avoided by checking the finished image on the web sites. The web sites may be accessed 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 a very brisk temperature of 0F -18C and rose to an afternoon high of 14F -10C. The fractal cats complained about the lack of sun, but cheered up when extra treats of tuna and cheese appeared, while the humans wondered where their extra treats were. The next FOTD, a very slow one, will be posted in 24 hours, give or take a few. Until then, take care, and an educated theolo- gian gave biblical proof that there is a place called heaven up in the sky, and even though we have never seen it, we should believe it is really up there. Then an educated physicist gave scientific proof that particles called quarks exist inside atoms, and even though we have never seen one, we should believe they are really in there. No wonder so many people have so much trouble knowing what to believe and what not to believe. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Augmented_Minibrot { ; time=0:02:00.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=HyperMandelbrot2 passes=1 float=y center-mag=-1.8613638459022/+0.000142871620293/\ 5.6e+008/1/50/0 params=0/0/0/0/0.16/0/1e-080/0 maxiter=2400 inside=255 logmap=309 periodicity=0 colors=000IdmHclHbkHbkHajHaiG`iG`hG_hG_gGZfFZfFYeF\ YdFXdEXcEWbEVbEVaDU`DU`DT_DTZCSZCSYCRXCRXBQWBQVBPV\ BPUBOUANTANSAMSAMR9LQ9LQ9KP9KO8JO8JN8IM8IM7HL7HK7G\ K7FJ6FI6EI6EH6DG5DG5CF5CF5BE5BD4AD4AC49B49B38A3793\ 79368267257256245145zS4zQ3zO3zM2zK1zI1zG0yE9vC8sA8\ p87m87j76h76e66b65_55X54V54S44P43M33J32G22E22B1181\ 1500200PJDOICOICNHCNHCMHBMGBLGBLGBKFAKFAKFAJEAJE9I\ E9ID9HD9HD8GC8GC8FC8FB8FB7EB7EA7DA7DA6Z_JY_JYZJXZI\ XYIWXIWXIVWIVWHVVHUUHUUHTTHTTHSSGSSGRRGRQGQQGQPFPP\ FPOFONFONFNMENMEMLEMLELKELJELJDKIDKIDJHDJGDIGCIFCH\ FCHECGECGDCFCBFCBEBBEczDZzDUzCOzCJzBEzB9vB8m75c24Z\ 20U00P01N31P92SB8UEDWFEZFF`FFcGGeGHhGHjHImHJoHJqHI\ pGIoFHmFHkEGjEGhDFfDEeCEcCDaBD`BCZABXABW9AU9AS89R7\ 8P78N67L67K56I55G45F44D34B33A228226115113001J08G07\ E06C06A0580460450340230220100000000000000000000000\ 00000Uc0Uc0Uc0UcZczmmrzzz } frm:HyperMandelbrot2 {; periodicity must be turned off a=(p1),b=(p2): q=sqr(a)-sqr(b)+pixel, b=(p3+2)*a*b+p4, a=q, |a|+|b| <= 100 } END PARAMETER FILE=========================================

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Re: [Fractint] Fractint Digest, Vol 131, Issue 10
by JackOfTradeZ＠comcast.net 27 Jan '14

27 Jan '14

. ""The changes between the slow morphing and the brief but rapid morphing, or the gentle color shifts and the "flashing" displays, or the somewhat predictable patterns and the chaotic "explosions", all of which make this an enjoyable video to watch"" That always happens with these and I can do nothing about it except hope it looks cool, and I never know that till the whole dang thing is finished! I have tried "zooming in and expanding" the rapid regions but I always get the same effect again - seems like traveling along a "Cantor line"; periods of relative stability alternating with chaos. The tune is "O Ecclesia", Hildegard Von Bingen, 12th century ...... As for projecting in front of an "acid band" at a club - that is/was the intent of many of my earlier animations, like Tetragoth and Octagoth. . On to the next one ....... JoTz .

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FOTD 27-01-14 (Jumping Jacks [No Rating])
by Jim Muth 27 Jan '14

27 Jan '14

FOTD -- January 27, 2014 (No Rating) Fractal visionaries and enthusiasts: Today's image is a blow-up of a small area of yesterday's image. Since it has nothing new in it, I gave it no rating, though if a rating were needed, a repeat of yesterday's rating would work fine. I named the image "Jumping Jacks" when I noticed the pale-blue figures that vaguely resemble an exercise class in progress. The HyperMandelbrot set is still so unfamiliar that I hesitate to say much about it at this early stage of investigation. But even today I am ready to admit that I am not sure the things in these Hypermandelbrot images are mathematically real or merely artifacts of mathematical imprecision. If they are artifacts however, they certainly are the most curious artifacts I have ever seen. The calculation time of 3-2/3 minutes is rather slow, but not excessively so. And relief is always available on the web sites. Calculation relief is available 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> Lots of clouds, a few flurries of snow and a steadily falling temperature marked today here at Fractal Central. The tempera- ture fell from a morning high of freezing to a low of 23F -5C, at post time, with a low of zero-F or -18C expected tonight. The fractal cats spent the day hoping for more treats, and had little to say about the outdoor conditions. The fractal humans, both here at FC again, made it through the day uneventfully. The next FOTD will be posted very soon. Until very soon arrives, take care, and I hear that the U.S. is fighting the enemies of freedom. I guess these enemies are those people who hate freedom and would rather be slaves. But I still wonder how we can even imagine ourselves to be free when we have Big Brother . . . oops, I mean the NSA etc . . . watching our every move. (some exaggeration admitted) Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Jumping_Jacks { ; time=0:03:40.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=HyperMandelbrot2 passes=t float=y center-mag=-0.7500088634104226/+0.0019900603185012\ /236544/1/-90.25/0 params=0/0/0/0/0.25/0/1e-100/0 maxiter=2250 inside=0 logmap=1540 periodicity=0 colors=000WFSXFSYFRZFR_FR`FRaFRbFQcFQdFQeFQfFQhFPi\ FPjFPkFPlFOmFOnFOoFOpFOqFNrFNsFNtFNvELuFNuGPuHRuIS\ uJUuKWuLXuMZuN`uOauPcuQeuRguShuTjuUluVmuWovWquWrtW\ rsWqrWoqWmpVloUmnUlmTklSjkShjRgiQfhQegPdfOceNbdNac\ M`bL_aLY`KX_JWZJVXIUVHTTHSRGRQFQPFPNCWL9bJ6iH4oI4n\ I4mJ5lK5jK5iL6hM6gM6eN6dO7cP7bP7`Q7_R8ZR8YS8WT9VT9\ UU9TV9RVAQWAPXAOi9WXANLBF4sO4rO4rN4rN4rN4qM4qM4qM0\ uN4qM8nLCkKFgKJdJNaIQYIUVHYSG`OGdLFhIEkEEoBDs8Cv5C\ cUDNpBMqDMqEMqFLrGLrHLrILsJKsKKsLKtMJtOJtPZgaUhcPi\ eLigMheNhdOgcPgbQfaRf`Se_TeZUdYVdXWcVXcUYbTZbS_aR`\ aQa`Pb`Oc_Nd_MeZKfZJgYIhYHiXGjXFkWElWDmVCnVBq`5oY8\ nVAmSCkP8lQElRJlRPlSUlSZmTdmUimUomVtmVyjXxhYxeZwc_\ w``wZbvWcvUdvSeuPfuNhtKitIjtFksDlsCowBnuBmsAmrL7tO\ 6rS6pV5nZ4ma4ke3ih3gl2fo1ds1bv0`y0_AAgAFiAYkAhl9km\ 8lo7mq7ns6ou6pw5qw4rw5smFtcKuUPvKXwIaxGhyMzz0zz0zK\ mzKzzKzz00z00z00z00z00z00 } frm:HyperMandelbrot2 {; periodicity must be turned off a=(p1),b=(p2): q=sqr(a)-sqr(b)+pixel, b=(p3+2)*a*b+p4, a=q, |a|+|b| <= 100 } END PARAMETER FILE=========================================

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FOTD 26-01-14 (Hyperseahorses [A-6,M-9])
by Jim Muth 27 Jan '14

27 Jan '14

FOTD -- January 26, 2014 (Rating A-6,M-9) Fractal visionaries and enthusiasts: As far as I know, the four-dimensional HyperMandelbrot set is virtually unexplored, so with today's image I have decided that it's time to do some exploration. To begin the investigation we see what trouble we can get into in the Seahorse Valley area of the hyper-M-set. As the coordinates show, today's scene is located deep in the north branch of the valley. I named the image "Hyperseahorses" because of its location in its parent fractal. The diagonal shaft is the actual north branch of the valley, which is oriented so that north points to the lower right. The main shaft of the quadratic valley is apparent enough, but all the other stuff is part of the hyper-M-set. I see almost nothing in the image that even vaguely resembles a seahorse. What I do see is a medley of features that have little resemblance to the features of the classic M-set. It will take quite a bit of experimenting to make sense of the things in this image and images to come, but being curious, I'll certainly give it a try. The art rates a 6. I see nothing very artistic in the image. The math however rates a 9, since I'm sure to find a lot of interesting quirks in this area. The image calculates in 3 minutes on the average SOTA machine that does not crash when it senses the presence of a DOS program. The web sites can bail out these machines that panic when DOS appears. To avoid all cumbersome calculation, check the finished image 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> Except for a period of light snow in the afternoon, today was partly cloudy and chilly, but pleasant enough, with a high temperature of 21F -6C. The fractal cats had a lazy day -- typical for a ten-year-old cat but unusual for a five-month-old kitten. I had a lazy day to myself, while FL spent the week-end visiting with old friends back in Baltimore. The next FOTD will probably be posted in one day. If it is not, then it will appear in two days. Until it does appear, take care, and who is really running the world. Is it the world's governments, the big corporate conglomerations, or could it be the aliens from Sirius C? Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Hyperseahorses { ; time=0:03:00.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=HyperMandelbrot2 passes=t float=y center-mag=-0.7500079994/+0.0019964869/37374/1/\ -122.5/0 params=0/0/0/0/0.25/0/1e-100/0 maxiter=2250 inside=0 logmap=1540 periodicity=0 colors=000WFSXFSYFRZFR_FR`FRaFRbFQcFQdFQeFQfFQhFPi\ FPjFPkFPlFOmFOnFOoFOpFOqFNrFNsFNtFNvELuFNuGPuHRuIS\ uJUuKWuLXuMZuN`uOauPcuQeuRguShuTjuUluVmuWovWquWrtW\ rsWqrWoqWmpVloUmnUlmTklSjkShjRgiQfhQegPdfOceNbdNac\ M`bL_aLY`KX_JWZJVXIUVHTTHSRGRQFQPFPNCWL9bJ6iH4oI4n\ I4mJ5lK5jK5iL6hM6gM6eN6dO7cP7bP7`Q7_R8ZR8YS8WT9VT9\ UU9TV9RVAQWAPXAOi9WXANLBF4sO4rO4rN4rN4rN4qM4qM4qM0\ uN4qM8nLCkKFgKJdJNaIQYIUVHYSG`OGdLFhIEkEEoBDs8Cv5C\ cUDNpBMqDMqEMqFLrGLrHLrILsJKsKKsLKtMJtOJtPZgaUhcPi\ eLigMheNhdOgcPgbQfaRf`Se_TeZUdYVdXWcVXcUYbTZbS_aR`\ aQa`Pb`Oc_Nd_MeZKfZJgYIhYHiXGjXFkWElWDmVCnVBq`5oY8\ nVAmSCkP8lQElRJlRPlSUlSZmTdmUimUomVtmVyjXxhYxeZwc_\ w``wZbvWcvUdvSeuPfuNhtKitIjtFksDlsCowBnuBmsAmrL7tO\ 6rS6pV5nZ4ma4ke3ih3gl2fo1ds1bv0`y0_AAaAFcAYeAhg9ki\ 8lf7mc7n`6oY6pV5qS4AP5AVFKJKkGPoHUwIaxGkyMpzUzzczz\ mzzzzzzzzzzzzzzzzzzzzzzzz } frm:HyperMandelbrot2 {; periodicity must be turned off a=(p1),b=(p2): q=sqr(a)-sqr(b)+pixel, b=(p3+2)*a*b+p4, a=q, |a|+|b| <= 100 } END PARAMETER FILE=========================================

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Animation of FOTD 12/12/13
by John Wilson 25 Jan '14

25 Jan '14

Truly remarkable in a number of ways. Thank you JOT. John W.

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FOTD 24-01-14 (Hyper-Mandel Scene [A-7,M-9])
by Jim Muth 25 Jan '14

25 Jan '14

FOTD -- January 24, 2014 (Rating A-7,M-9) Fractal visionaries and enthusiasts: Today's image lies deep inside a minibrot in Scepter Valley the Hypermandelbrot set, in an area that should be a total blank. I named it "Hyper-Mandel Scene" for obvious reasons. Do not ask me what the image shows or how the math works. None of it makes any sense. But the image certainly is real and it looks pretty good for something that makes no sense. The number of elements in the features circling the center increases in increments of two as we dive deeper into the bottomless center of the enclosing minibrot. But why does the number not redouble at every step? And if the number of elements reflects the periodicity of the area of the M-set in which it lies, why does the number not stay the same as we look deeper? There are obviously some big questions to be answered about the things done by the HyperMandelbrot2 formula, so I'll probably be investigating the 4-D hypermandelbrot set for quite a while. In fact, the next virtually impossible wonder will appear as the next FOTD. As I see it, the art aspect of today's image is worth a 7, while the math aspect remains at quite a high level, which today is a rating of 9. The calculation time of today's image is 5-1/3 minutes, on the slow side indeed. This slowness is largely caused by the need to turn off the periodicity when using the HyperMandelbrot2 formula. But all is not lost, for the web sites are always there to bring near instant relief. Satisfy your desire for instant fractals by visiting the 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> Today brought lots of sun to Fractal Central, but the morning low temperature of +3F -16C and paltry afternoon high of 19F -7C made the sun pretty much ineffective at bringing outdoor comfort. The fractal cats however had a pleasant day indoors, enjoying and sharing the sun on their shelf. The humans made out as best they could. The next FOTD will be posted in due time. Until whenever that might be, take care, and think about what the 'news' media is really doing with our emotions when it says things like 'should you be worried about....' Jim (it has me worried) Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Hyper-Mandel_Scene { ; time=0:05:20.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=HyperMandelbrot2 center-mag=-1.2508739\ 37260226/+0.02375785984786841/2.980496e+009/1/-147\ /0 params=0/0/0/0/0.25/0/1e-100/0 float=y maxiter=3000 inside=0 periodicity=0 colors=000UT`YSaaQbeOciNdgQbfS`eUZdWXcYVa_T`aR_dPZ\ fNYhLWjJVlHUnFTpDSrCOmEKiGGeIC`K8XM4TO1PP6RNBSLGUJ\ LVHQXFVYD__Bd`AeaDebGebJecLfcOfdRfcYfcegepgezgfzgi\ zhmzhpzhtzhvzfwzdrzbmz`mzZcqXWmVUcTSUVTMXVJZWJ`YKb\ ZKd_LfaLhbMjdMleNngNphOqiOrjLrjJsjHsjFtjDtkAuk8uk6\ vk400000000000000000000000000000000000000000000000\ 01002003004005106327538848B5BF6FJ7KN8PRAVUB`ZCfbDk\ fEpiKrlUzpczsmzvzzzzzzzzzzzzzmzzczzUozMozLnDKnEInF\ HnG7Jf9NbAR_BVXCZUDbQEfNFjKTEuSHrRJpQLmPNkPPhOSfNU\ dMWaMY_L_XKaVJdTJfQIhOHjLGlJ0kk2lh3le4lc6l`7mZ8mWA\ nTDnRGoOJoMMpKPpNSqQVqTYrW`rZdscgthiumkvrmwvoxzqyz\ tzzwzz8SU9VSAYQB`PCcNDfLEiKFlIAsWBrUCqSCqRDpPEpNEo\ MFoKGnIqa4jd7df9ZhBSjDMlF7Od9S`AWYB_UDcREgNFkKyGCv\ JDsLDpNDmPEjREgUEdWFbYF__FXaGUdGRfGOhHLjHIlHfbradk\ cmemz_zzTzzNzzFzzGmAGcAGUAGLKGKUGKZGJaHJcHIeHIgHHi\ HHkHGmHKrOIpKia1gb3ec4cd5 } frm:HyperMandelbrot2 {; periodicity must be turned off a=(p1),b=(p2): q=sqr(a)-sqr(b)+pixel, b=(p3+2)*a*b+p4, a=q, |a|+|b| <= 100 } END PARAMETER FILE=========================================

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FOTD 23-01-14 (The Greatest Mystery [A-8,M-10])
by Jim Muth 24 Jan '14

24 Jan '14

FOTD -- January 23, 2014 (Rating A-8,M-10) Fractal visionaries and enthusiasts: The math rating of today's image is a full-blown 10. And the image is fully worth it. The arms filling the central minibrot are the greatest mystery I have yet discovered in my 27 or so years of fractal exploration. The parent fractal is the everyday 4-dimensional Hypermandelbrot set, which is simply 2 overlapping classic M-sets, so these arms have no right to be there. The mystery is why the infinitesimal value of the real(p4) parameter would have such a great effect on certain fractals. The name "The Greatest Mystery" simply states the situation as it is. The art value of an 8 is largely due to my coloring efforts. I have been putting more work into the FOTD's since we began phasing out the graphic design work here at FC a year or so ago, and as the phase-out continues, the FOTD's will get only better. And wait until one of the business machines is switched to a dedicated high-speed fractal unit. The calculation time of 3 minutes is about average, but average can always be improved upon. So for an improvement, check the FOTD web sites. The already calculated image is posted 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 temperature rose from a morning low of -2F -19C here at Fractal Central to a near tropical afternoon high of 19F -7C, with a few snow flurries thrown in to add interest. The fractal cats showed little interest in the off-and-on sun however, and soon took up cozy residence on their favorite chairs, which happen to also be my favorite chairs. The fractal people were also snug and cozy, but this is because the heating bills have not yet arrived. The next FOTD will be posted in a day or two, or maybe three. Until whenever, take care, and how many can see that we are being kicked around emotionally by the media like a bull with a ring in its nose? BTW, all those who feel too much anxiety because of all the doomsday shows on TV should distract themselves from their worries by buying and using the sponsor's products. (BTW, just wait until big govermnent or big corporations begin controlling and censoring the internet.) Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= TheGreatestMystery { ; time=0:03:00.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=HyperMandelbrot2 passes=1 center-mag=-0.75633334435/+0.06435853132/3.47e+007\ /1/75/0 params=0/0/0/0/0.5/0/1e-150/0 float=y maxiter=1625 inside=0 logmap=-668 periodicity=0 colors=00000D00F00H00J00L00N00P00R00S00U00W00Y00_0\ 0a00b00c00c00c00d00e00d00c10b20a30`40_50Z60Y70X80W\ 90VA0UB1TC2TD3TE4RF5PG6OH7MI8KJ9JKAHLBFMCDNDBOE9PF\ 7PF5OG4OH4NI3NJ2MK2ML1LM0LN0NO4PP8RQBTRFVSIXTMZUP_\ WTaZXc`_eccgefihjkjmmmqnotmqhloYjmJgkNdiRagVZeZYcb\ XafV_jUYkTWlQUmSSmTQmUOmVMmXKmYImZGm_Gh`GcbIWcIUdH\ UeGUgFUeEUcDUaCU_BUYAUW9UU8US7UQ6PO5KQ4FS3AU28W16Y\ 04_02a00c00c00Z80Q71I42C03A04A05406307208206104103\ 20530740840A50B61D70E70G80H90J90KA0MB0NC0PC0QD0SE0\ TE0VF0WG0YH0ZH0`I1aJ2cJ3dK4cL4cM4cM4cN4cO4cO4cP3cQ\ 3cQ3cR3bS3bT3bT3bU3bV2bV2bW2bX2bX2bY2aZ2a_1a_1a`1a\ a1aa1ab1ac1ac1aZ5YV9VRDSNHPJLMFPNBTUBTcCTmCTvDTzDT\ zDTzETzETzFTzFTzFTzGTzGTzHTzHTzHTzITzITzJTzKTvLTqN\ TmOTjQTgRTeSTbUS_VSXXSUYSSZSP`SMaSJcRGcTGbVFbYEa_H\ aaKabPbcUcdZceccfhegmghriivmmzrrzsszuuzvvzwwzxxzyy\ zzzzzzzzzzzzzzzzzzzzzzzzz } frm:HyperMandelbrot2 {; periodicity must be turned off a=(p1),b=(p2): q=sqr(a)-sqr(b)+pixel, b=(p3+2)*a*b+p4, a=q, |a|+|b| <= 100 } END PARAMETER FILE=========================================

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FOTD 22-01-14 (In a HyperMinibrot [A-7,M-7])
by Jim Muth 23 Jan '14

23 Jan '14

FOTD -- January 22, 2014 (Rating A-7,M-9) Fractal visionaries and enthusiasts: Today's image shows a scene deep inside a hyperminibrot located on the north shore of East Valley of the HyperMandelbrot set. The image rates a 7 both for its art and its math interest. Since the scene lies inside a minibrot and minibrots are supposed to be empty inside, the math might have rated as much as a 9 if I had not used this trick several times before. The name "In a HyperMinibrot" simply gives the location of the scene. The calculation time of 1-1/2 minutes is already pretty fast, but even more time may be saved by visiting the web sites. Check the completed image at the following 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> Under a brilliant sun, the temperature rose from a morning low here at Fractal Central of -2F -19C to a balmy afternoon high of 14F -10C, which kept the fractal cats near the heat radiators and the fractal humans near the hot coffee. The next FOTD will be posted before too long. Until whenever, take care, and why don't we end poverty once and for all by giving the poor people enough money to raise them to the middle class? Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= In_a_HyperMinibrot { ; time=0:01:30.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=HyperMandelbrot2 float=y maxiter=4200 center-mag=+0.2689640429736178/+0.0054866527972909\ /8.939192e+011/1/105/0 params=0/0/0/0/1/0/1e-100/0 inside=0 logmap=711 periodicity=0 mathtolerance=/1 colors=00000H00I00K00M00O00Q00S00UZCz_Ev`Gs`Ip`Mm`\ Qj`Ug`Zeccdhhcmmcqrhtvmzzz0065CAAJDKUGPcJYqNhzQozT\ wzW`csadrbdqcdpceocencemcflcflcfkmg0rg0zm0zq0zz0zz\ 0giefideicdjbcjabj`ak_`kZZLh_Og_Qf_Te_Vd_Yc`_b`ba`\ d``g_`iZaV9`_G`cM`gTopVloWjnXhmXfmYdlYbkZT6QU8RUAR\ UCSVDSVFSVHTWITWKTWMUXNUXPUXRVYSVYUWYWWZXWZZXZ`X_a\ X_cY_eY`fY`hZ`jZyX5xY6wY7vZ8uZ9u_At_Bs`Cr`DqaEqaFp\ bGobHncIncJmdKldKkdLjeMjeNifOhfPggQggRfhSehTdiUciV\ cjWbjXakY`kZMyuNxsOwrPvqQvpQunRtmSslTskUrjUqhVpgWp\ fXoeYndYmbZma_l``k_Ir`Kq_Lq_Np_Op_Po_Ro_Sn_TnZVmZW\ mZXlZZlZ_kZN3HO6JP9KQCLRFMSINTLPUOQVRRWUSXXTY_VZbW\ _eX`hY71n94mB7lDAkFDjGFiIIhKLgMOfNQePTdRWcTZbU`aWc\ `Yf__iZDYpFZoG_nH_mI`lJakKak`8_e9ci9fhFdhKcgPagU`f\ Z_fcYehXemWdlXdlXclX_kZclXclYblYblYbkYakYakZakZ`kZ\ `kZ64_76Z87Z99ZAAZBBZCDZDEZEFZFHZGIZHKZILZJMZKOZLP\ ZMQZNSZOTZPVZQWZRXZSZZT_Z } frm:HyperMandelbrot2 {; periodicity must be turned off a=(p1),b=(p2): q=sqr(a)-sqr(b)+pixel, b=(p3+2)*a*b+p4, a=q, |a|+|b| <= 100 } END PARAMETER FILE=========================================

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FOTD 21-01-14 (The 33rd Degree [A-7,M-5])
by Jim Muth 21 Jan '14

21 Jan '14

FOTD -- January 21, 2014 (Rating A-7,M-5) Fractal visionaries and enthusiasts: Today's scene lies in an area of anti-bifurcation in a half- morphed minibrot on a filament in the East Valley of a larger minibrot on a filament extending from a small period-7 bud on the northeast shore line of the parent fractal, which is a Mandelbrot set corrupted by Z^33 energies. The magnitude of the image is well beyond the point where the corruption of the minibrots is complete, though quadratic tendencies still exist in the outer parts of the scene. I named the image "The 33rd Degree" because of the Z^33 energies flowing through it. The art value of 7 was earned by the coloring work. The math value of 5 is average. We have been here quite a few times before. The calculation time of 2-3/4 minutes might be a bit too much time to spend on the image. Viewing the image instantly on the web sites can help the situation however. Save calculation effort by viewing the finished image 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 cloudy. Light snow began at 8am and turned heavy by 11am. It continued heavy until 2pm, when it came to a sudden stop, leaving a total accumulation of 4-1/2 inches or 11cm on the fractal sidewalk. With a temperature of 16F -9C, the snow was so fluffy that it could be cleared away with a broom. The fractal cats, always curious, wondered what all the stuff falling from the sky was about. The fractal humans had another typical day, the biggest chores being clearing snow and making coffee. The next FOTD will be posted in the near future. Until whenever that might be, take care, and when we get to heaven, how long will we be able to endure its eternal bliss without becoming unbearingly bored? Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= The_33rd_Degree { ; time=0:02:45.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=FinDivBrot-2 function=recip passes=1 center-mag=+0.12502420421873890/+0.657943753942939\ 80/9.467e+012/1/40/0 params=33/1e+100/0/0 float=y maxiter=10800 inside=0 logmap=244 periodicity=6 mathtolerance=0.05/1 colors=000A08A08A08A08A08A19A29A39A49A5AA6AA7BA8BA\ 9CAACABDACEADGAEHAFJAGKAHMAINAJOAKQAMRANTAOUAQW8RX\ 6SY9Q_CO`FNbILcLJeOIfRGhUEiXDk_BlcAmdEneIngMoiQolT\ ppXpr`qudqwfrygrvhptgnrglpfkmdikcgibfgadd_bbZa`Y_Z\ XYWVXUUVSTTQSSNTRMUQOVPQWOSXNUYMW_LYaK_cJaeIcgQZhX\ YiZYjZZkU_kR`iSajSbkSclTemTgnTioUkpUmqUmrVmsVmtZwu\ cwvhwwmwxrwyvwzzvyzqxzmwzmvzmuvcurctmcshcrcmrZmrUm\ sPmsKmsKmsJmtImtIctHctHcuGcuFcsFcqEUoEUmABj77g34c0\ AZ3GU6LU8RUBWUDaUGgUJlULrUOwUQrUUmUYhUac`AZZAURAPK\ AAAmAAcAAUGAKNFATFAZFAbJAfMAiRAmUAqUAtU3mZ5gb7`g9V\ kATh9Ue8Vb8W_7XX7YU6cR5mO5wL4zI4zF3zCczAcz9cz8mz7m\ z8zz9zzAzzBzzCzzDzzDzzEzzFzzGzzKzmcmqcmtcmqcmocclc\ cjccgccecUbcU`cUYcJWcKTcLRcLOcMMcMKcNJcNHcOGcOEcPD\ cPBcQAcQ8cR7cR5cS4cS2cT1cT0cTDzPQzLazIbzHczGdzFezE\ izRkzTmzVozXpzZqzaqzdqzgrzjrzlrzoszrszuszxszzqztoz\ omzikzdjz_jz`jz`jz`jz`jza } frm:FinDivBrot-2 { ; Jim Muth z=(0,0), c=pixel, a=-(real(p1)-2), esc=(real(p2)+16), b=imag(p1): z=(b)*(z*z*fn1(z^(a)+b))+c |z| < esc } END PARAMETER FILE=========================================

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FOTD 20-01-14 (The Cubic Minute [A-8,M-6])
by Jim Muth 20 Jan '14

20 Jan '14

FOTD -- January 20, 2014 (Rating A-8,M-6) Fractal visionaries and enthusiasts: Today's scene, which is of an extremely large magnitude, lies in a small valley inside a cubic bud on the positive X-axis at the eastern extremity of its parent fractal. This parent came about when I infected a Mandelbrot set with cubic energies, but added much less antibiotic than usual. In the FinDivBrot-2 formula the value of the real(p1) parameter determines the order of the energy infecting the basic M-set. The imag(p1) parameter works almost like a flu shot. Its absolute value determines the resistance of the M-set to the infecting energy. Today's value of negative 3 gives very little protection. I named the image "The Cubic Minute" because the scene is obviously of a cubic nature and also calculates in close to a minute. The art rating of an 8 reflects the extra time I spent on the coloring. I leave it to the individual viewer to decide if the effort was successful. The math value of a 6 is close to average, since there is really nothing new in the math aspect. The image calculates in a minute on the average machine. The time required to check the finished image on the web sites is about the same. Check the pre-calculated images 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 hung over Fractal Central all day, but the high temperature of 37F +3C kept things reasonably comfortable. With snow and severe cold on the way however, I can't say how long the marginal comfort will continue. The fractal cats spent some time chasing each other up and down the hallway, and the rest of the time asking for food and sleeping, while the fractal humans passed the time doing what all good fractal humans do. Unless something unforeseen happens, the next FOTD fractal will be posted in 24 hours. Until then, take care, and if our western hi-tech way of living is as great as many seem to take for granted, why do we have such a problem with the mind- altering drugs that serve only as a way of coping with the stresses of hi-tech reality? Jim (what would we go back to?) Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= The_Cubic_Minute { ; time=0:01:00.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=FinDivBrot-2 function=recip passes=t center-mag=+0.2749544457144045/-0.0000065299050924\ /1.16285e+013/1/-178.75/0 params=3/-3/0/0 float=y maxiter=750 inside=0 logmap=133 periodicity=6 mathtolerance=0.05/1 colors=00000A00F00K00P00U00Z05c0AhAFiKKlUPocZqmjmv\ mizqfzzczzmzvzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzu\ zrszoqNmoPjnRhlTejVbiX`gZYe`WdIfc0pc2qZ4rU6sP8tLAu\ GCvBEz6Gr2Ep7DmBBjFAfJ8cV7_Z5V`4Oe2Kc1Hg0Gf0Fe0Ed0\ Dc0Ca0AZ08U06P04K02F00A0050000000000000000003iU4jU\ 5jU5kU6kU6lU7lU7lU8mU9mU9nUAnUAoUBoUBoULpTVpTdpSmp\ SzmVz0XzUzzCZzUzz0_zM_zUmzU`zcaz_bzbbzecziczldzodz\ nazm_zlYzkWzjUzjSziQzhOzgMtfKxfIsgLogOjhRfhUbhXYi_\ UibQieLjhHjkDjn8kq4kt0kw1gt2dr2ap3Zn3Wl4Tj5Ph5Mf6J\ d6Gb7D`7AZL8eZ7lk6rlBslGsmLsmQsgSobUkXWhSXdMZ`H`YB\ bU6cR9bUCaXF`ZI_aLZcOYfRXhUWkXVn_UpbTseSuhRxkQzjPy\ jOyjNyiNxiMxiUxhUwhUwhUwhJwgUrgUnfUjfmffmbemZemUdm\ QKmMKmIKoEKmALm6MmANmEOmIPmMQmQRmUUzYUzaUzecziczmh\ zqhzumzymznmzdnzVpzWrzWtzWvzXxzXyzXzzCzzBzzBzzBzzB\ zzBzzBzzBzzEzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzz } frm:FinDivBrot-2 { ; Jim Muth z=(0,0), c=pixel, a=-(real(p1)-2), esc=(real(p2)+16), b=imag(p1): z=(b)*(z*z*fn1(z^(a)+b))+c |z| < esc } END PARAMETER FILE=========================================

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FOTD 19-01-14 (Twelve_Out,_Ten_In [A-6,M-7])
by Jim Muth 20 Jan '14

20 Jan '14

FOTD -- January 19, 2014 (Rating A-6,M-7) Fractal visionaries and enthusiasts: Today's image shows a minibrot in a parent Mandelbrot set corrupted in its depths by Z^(11.5) energies. The location is near a larger order-11.5 minibrot in the East Valley area of the very large quadratic minibrot on the main spike of the parent M-set. The name "Twelve Out, Ten In" refers to the sequence of elements surrounding the order-11.5 minibrot at the center, which holds ten large lobes around the edge of the main bay but twelve elements just beyond. (Actually, the numbers are 10.5 and 11.5, but this takes most of the fun out of the calculation.) The art rating of a 6 shows that the image has moderate art worth. The higher math rating of a 7 refers to the curious cycle of numbers of elements mentioned above. The calculation time of just over 1 minute will pass in a Flash. Those who think Superman is faster can prove themselves right by visiting one of the FOTD web sites. Enjoy the fast easy life by checking the finished image 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 here at Fractal Central began with light snow, which ended by midday after leaving a paltry 1cm of new snow. The sun appeared by early afternoon, raising the temperature to a relatively mild 34F +1C and melting the snow on the sidewalks. The fractal cats noticed the fresh catprints in the snow, but saw no sign of whatever cat had left the prints. The fractal humans passed the day taking it easy, thankful that the snow went away without human intervention. The next FOTD will be posted in a number of hours. Until the number becomes better defined, take care, and let's solve the economic problems by giving everything to everybody. We can always blame the other side when we run out of everything. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Twelve_Out,_Ten_In { ; time=0:01:10.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=FinDivBrot-2 function=recip float=y center-mag=-1.745315553464152/+0.00000005410701865\ /2.563699e+009/1/-22.5/0 params=11.5/1e+020/0/0 maxiter=800 inside=0 logmap=112 periodicity=6 colors=000VAcWBcXCcYDcZEc_Fc`GcaHcbIccJcdKceLcfMcg\ NchOdhOdgNfeLbbK_aIX_HUYFQXENWCKVBHU9DT8AS67P54K41\ G0870F70L70S7AY6K`5Ub7_ZAVVIQRQLNUPHZUJ`UUcUUcUUcV\ UcWUcXUcYUcZUc_Uc`UcaUcbUcjUcpUczUcuUcjUcaWcX_hRbn\ AefUKpOFzzcxUAmOAcVAho2bf5XZ8RRBLJEgszajpWagRTYLKP\ cICYGDSEEMCFVIaMFWNHRHELI8UH9XH9UHARG4OG0L0A040070\ 0A00D00a9PUAMNBJ0je3d`6ZX8TTBNOEHKdqV`jSXdQUZOQTMN\ NKJHIu0do2`i4Xc5UY7QS8NMAJHYWGUTGRRGOPGKMGHKGEI6PQ\ AKMDFJs22m44g56a68X8AR9CLAEktWgnUchS_bQWYOSSMOMKKG\ IccjccfccbccZccVccRccNccJsUleUaTURdUR`ZPYZOVZMSZLP\ ZKMZIJZHJc9tsMmpLfiK_aJTVIMSHxCJlDIaZHRZGcZUYZQSZN\ MZJ8ZgCZUju1fo3bj5Ze7V`9RVBNQDJLFxPcrPclPcgPcaPcWP\ cRPcLPcoZcfZcYZcPZczZcbZcpZcfZcYccPccsccmccgccaccX\ ccRccLccumclmmdmmWmmOmmDmzAmzCzzDzzFzzUzzPzzKzzjzz\ zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzz } frm:FinDivBrot-2 { ; Jim Muth z=(0,0), c=pixel, a=-(real(p1)-2), esc=(real(p2)+16), b=imag(p1): z=(b)*(z*z*fn1(z^(a)+b))+c |z| < esc } END PARAMETER FILE=========================================

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FOTD 18-01-14 (Webs of Passion [A-7,M-5])
by Jim Muth 19 Jan '14

19 Jan '14

FOTD -- January 18, 2014 (Rating A-7,M-5) Fractal visionaries and enthusiasts: Today's scene lies at the upper edge of the infinitely divided main spike of its hugely oversized parent fractal, in the area just east of the main minibrot. This parent is corrupted in its depths by fractional Z^(2.5) energies, which means it must have discontinuities. The name "Webs of Passion" has nothing to do with a steamy romance novel. It refers to the eight spider-web like elements surrounding the central minibrot. These eight elements are not identical, but have subtle differences that can be noticed only after a careful inspection. The art rates a 7, since I put only a few minutes color work into the image. The math is old stuff, and rates only a 5. Perhaps the best aspect of today's FOTD is the image's fireball calculation time of a mere 45 seconds, guaranteeing that little time will have been wasted if the image brings disappointment. The web sites also can prevent a let-down. The finished image may be viewed 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 here at Fractal Central began with 4cm of fresh snow. The snow ended by 11am and the sky cleared by 2pm, but the sun had no effect on the temperature, which fell steadily from 30F -1C at 7am to 21F -6C at 7pm. The fractal cats appeared to take a break from their hectic activity, and spent most of the day sleeping and sunning themselves. After sweeping the snow from the sidewalk, one fractal human took it easy, while the other human kept the first human supplied with hot coffee. The next FOTD will be posted in a cosmic instant, which is more like a day on the human time scale. Until whenever, take care, and in the time since I discovered that I am a Boltzmann brain, not a single thing has changed. The world still seems as real as ever, even though I now know it exists only in my disembodied brain, which is floating in infinite and eternal DeSitter space. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Webs_of_Passion { ; time=0:00:45.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=MultiExp function=recip center-mag=-17\ 39.243792388713/+0.03731885032851018/2051621/1/178\ /0 params=2.5/1000 float=y maxiter=1200 inside=0 logmap=87 periodicity=6 colors=00000A00A00A00A00A0\ 0A00A00A00B00C00D00E00F00G00H01I02K03M04O05Q06U07Z\ 08c09h0Am0Dzzzmzc7mU5cM2UD0QL6USBYZHbeMflSjsXnzakp\ `hf_eXZcOYVVeNamFbrHcvI_zKWzLSzMOzOKzPGzQAzR0zR0zR\ 0zR0mR_cRdZNeh`e9Zg9Yj8Xl7Wo7Vq6Us6MhBFZF8AJ7EI7IH\ 7MG6QF6UF6WE5YD5_C5aC8cDAeDCeDEdDGdDIdDKdDNcDPcDRc\ DTbDVbDXbDZbDcXCgSBlNApH9uC8y78v89s9AoCFlEJiHOfJSc\ MW_O`XRdUThRWmOYqL_uR`vXawbaxhbxnbytczzczYlmZkm_jm\ `imahmagmbfmcemdemedmecmfbmgamh`mi_mi_mdVh`QdXL`TG\ WPBSL6OH2K97J2BJ6GL9LNDQPGVQJ_SNdUQiWTmX_gSeaOkWJq\ RFoPQmO_kMjiLthNqhPnhRkgTigVfgXcfZ`f`ZfbWedTefQehO\ djLdlIdmGcjKbgLbdNabP`_T`XW_UYZS_ZPaYMcXKeXKgWKiVK\ jVKkWKlXKmYKmZKh_Kh`MhaOhbQhcSmdUmeWmfYmg_mgamecmc\ emagm_iTZkWXmZVmaTmdSmgQmjOomMqpLsrOulQvfSw`VxVXyQ\ ZzKazEcz8ez3uzuuzsuzquzouzmuzluzjuzhuzfuzduzcuzauz\ _uzYuzXrzWpzWnzWlzWkzbtzbozcjzcezdazdXzdSzeNzeJze } frm:MultiExp { ; Jim Muth z=(0,0), c=pixel, a=-(real(p1)-2), b=imag(p1)+0.00000000000000000001: z=z*z*fn1(z^(a)+b)+c |z| < 100000000 } END PARAMETER FILE=========================================

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FOTD 17-01-14 (Divine Revelation [A-9,M-5])
by Jim Muth 18 Jan '14

18 Jan '14

FOTD -- January 17, 2014 (Rating A-9,M-5) Fractal visionaries and enthusiasts: Yesterday's garish image shows what happens when low-order minibrots are decorated with brilliant colors. Today's subtly colored image shows what happens when the colors are kept to a minimum. Instead of the carnival-like atmosphere, we have a fractal that could be a divine vision. Being a marginally religious person, I named the image "Divine Revelation". The brilliant light in the upper left of the scene may be identified as any divine thing or person the viewer chooses. And skeptical Atheists could even consider this light to be just another feel-good delusion of the superstitious and gullible. The generating expression is Z^(1.15)+C as iterated 15 levels up the hyperladder with the 'recip' function applied. The odd value of the maxiter is actually one less than 2^(15), and was once the maxiter limit of Fractint. This large value slows down the calculation but also increases the definition of the bril- liant minibrot, which is nearly hidden in the glare and can be more clearly seen by changing its inside color to black. The art rating of a 9 is again overblown, but at least in my opinion, the image is worth the rating. The math rating of a 5 is more honest. I have been doing these very low-order minibrot images for quite a few years, and today's image brings nothing new to the world of fractal math. The calculation time of 5-1/4 minutes is true on my fireball machine. On a lesser or greater fireball, the time could be much slower or faster. As always, visiting the FOTD web sites will end all timing worries. The finished image is posted 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 clouds moved in just after sunrise today here at Fractal Central and hung overhead for the rest of the day, while the temperature of 39F +4C kept the outside conditions quite bear- able. The forecast is not so pleasant however, since we expect up to several inches, or about 8cm, of snow tonight and tomorrow. The fractal cats had a typical contented cat day. A little more sun would have made them happier however. The humans, never fully contented, once again made it through the day with nothing to bring serious discontent. The next FOTD will be posted when it is ready, but no sooner than the evening of the 18th Eastern Standard Time. Until when- ever, take care, and if the investigations of rational science stopped finding things that cause people to question their religious beliefs, quite a few people would be more content. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Divine_Revelation { ; time=0:05:15.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basic.frm formulaname=MandelbrotBC3 function=recip passes=1 center-mag=-1.703119592947089/+1.737103617718856/\ 5.644438e+011/1/95/0 params=1.15/0/15/0 float=y maxiter=32767 inside=255 logmap=-470 periodicity=6 mathtolerance=0.05/1 colors=00064875986A97BA8CB9DCAEDAFE9GFAKGBKHCUIDUJ\ EUIGUHIUFKUEMUGOZIQZKSZNUcPWcSYhU_hXahZchaehcghfih\ hkhjmhkohoqhqshquhtwhwwhwwhwwiwwjwwkwwlwwmwwnxxoyy\ pzzqzzrzzszztzzuzzvzzwzzxzzyzzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\ 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 16-01-14 (Tulip Trouble [A-9,M-5])
by Jim Muth 17 Jan '14

17 Jan '14

FOTD -- January 16, 2014 (Rating A-9,M-5) Fractal visionaries and enthusiasts: The artistic rating of today's image is a monumental 9, while the math rating is a very average 5. The reason is that I spent several hours trying to turn a nothing minibrot into something. I was only moderately successful, but to reward myself for all the work, I inflated the rating. The image, with all its disorganized and hectic colors, is actually worth more like a 7. The generating expression is Z^(1.2)+C as calculated PI levels up the hyperladder with no function applied. The parent fractal is a Mandeloid every bit as shapeless as the minibrot at the center of today's image and surrounded by a field of disconnected bits and pieces of filaments. Today's scene lies on one of the filament pieces to the west-northwest of the main body. The name "Tulip Trouble" came about when the minibrot reminded me of a tulip. The calculation time of just over 3 minutes is faster than expected for an image with a maxiter of one-million. And this time can be cut to near 2 minutes by resetting the passes to 'G'. Doing this loses only a few dots at the edge of the minibrot. An even better choice is to do away with calculation altogether and check the image on one of the web sites. The finished image is posted 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> Total sun prevailed all day here at Fractal Central today. With little wind, the temperature of 37F +3C was quite comfortable for mid-January and the start of the coldest 30-day period of the year. The fractal cats took turns enjoying the afternoon sun on their shelf in the southwest window. The fractal humans passed the day taking down the last of the holiday decorations. The next FOTD will be posted, which is all I'm saying about the actual time it will appear. Until whenever, take care, and if high technology has given us such a great life style, why have there been around thirty school shootings in the past year? Could something in our lives be missing? Jim (the Atheist?) Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Tulip_Trouble { ; time=0:03:10.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=MandelbrotBC3 function=ident passes=1 center-mag=-2.7048045746792/+1.557515314603271/\ 1.1651e+011/1/-10/0 params=1.2/0/3.14159265358979/0 float=y maxiter=1000000 inside=0 logmap=221 periodicity=6 colors=000QMKSHPRF60YKMdKKJKRIKcUKUZKUZUUcUQKUb`Uc\ TUccUTX7d_8RWC0KC0MU1Vc2MU2H83KU0NY0ZBQdWzzzyqhkgW\ __MSWDLT8CR37P316100000000041C_8TzYo7zzIzw_qpiiiYU\ VY5Am44W44W49WFIWQRWWWbbbtttzzzzzzzzzfek49Yzc7zg7k\ h7dqFbzQazzzzddzhlylaqbTiVMdOEYH7RB2N52H21C11C3BCB\ 000000000c0000426L4E_7Nt9XzBZzU1100475fG9zXJzsXzzp\ zzzzzzzzzzzqqy`avLOt9Dq66i59d5D_4GzzzzzPzzzzzzzuxz\ mttfpnZmkVngSqeNtazvZzvtz7tJPtJkzSzt7ptzVtHHtG7tL7\ zYJzaPzgVzmcTTT___dddnnnvvvzzzlzXzzAzzAzzAzzQzzAzz\ AzzUzzUzzAzzWzzWzzUzzUzzTzzTzzTzzRzzRozzmyzozzpzzp\ zzpzzrzzszzszzszzszzszzuzzuzztzzwzzvzHvzHzz7zI7yN7\ vR7vY7tb7qi6qt7rzAtzEzGzzHzzIzzIzzJzzKzzKzzLzzNzyM\ zyMyyOyyOvvPtvQtvQrvSrvSqvUpvWpvWovXov_ov_nv`nvcmt\ aktdltfltflthlthktjmtmmtmmtootmmtmmtmjqjgqjgqkeqke\ qkcqkaqkaqk_qlYqlYqlWqnWnmTnnRpqSoqQptPrvQqvPsyQsz\ OszNtzOtzNtzNszMrzKszLtzK } 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 15-01-14 (Avuncular Fractal [A-7,M-7])
by Jim Muth 16 Jan '14

16 Jan '14

FOTD -- January 15, 2014 (Rating A-7,M-7) Fractal visionaries and enthusiasts: Today's image is named "Avuncular Fractal", which if taken literally, would mean it relates to an uncle. Actually the name is pure nonsense, much like what some say about certain things I sometimes write. But what the heck!?! Nonsense is what makes life and fractals so interesting. The generating expression combines 11 negative parts of Z^(-1.1) with 1.1 negative parts of Z^(-11.1) before adding (1/C) on each iteration. The resulting parent fractal is a typical double negative thing consisting of four vertically stacked bays with a prominent 'fan' extending east from the origin. Curving filaments extend outward from these bays and terminate in a series of rings. Today's scene lies in the large southernmost ring. The rating of a 7 for both the art and math is not quite high enough to make the 3-minute calculation time much of a bargain. But the true bargain, with associated happiness, may be found on the web sites. Find happiness! How? By checking the finished image 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 heavy fog here at Fractal Central. The fog cleared away by mid-morning, but clouds moved in by noon, and light rain began a couple hours later. The fractal cats were annoyed that the sun was obscured just as it was ready to shine on their window shelf. The humans, having nothing to be annoyed about, made it through the day with minimum angst. There is a 90-percent chance that next FOTD will appear in 24 hours. The chance will increase to 100 percent when it actually does appear. Until then, take care, and when I was in school we never heard of school shootings, nor did we flood the school with grief counselors when two students were killed in drunk driving accidents. We either care a lot more nowadays or our students are turning into angry wimps. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Avuncular_Fractal { ; time=0:03:00.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=MandAutoCritInZ function=recip passes=1 center-mag=+1.703904359650447/-9.221842800854315/\ 3.348801e+010/1/143/0 params=-11/-1.1/-1.1/-11.1/0\ /100/0/0 float=y maxiter=1600 inside=0 logmap=190 periodicity=10 colors=00050J60I70H80G90FA0DB0CC0BD1AE29F38G47H56I\ 65K74M83O92QA6SD9UGCWJGYMJ_PM`SQ`VTaZWaaZbdbcgecjh\ emlgqoiurlxuoytrzswzrvzqszppzopzonynnxmlyllykgyjjy\ jbyiazhazgazfazeazeZxfXwgVvhSuiQtiOrjLqkJplHomEnmC\ lnAko7jp5iq3hq7gmAfiDeecdbccZccVcbRmaOm`Km_GmZCzZ9\ zYAzYAzYBzYBrYCrYCrYDrXDrXErXEmXFmXFmXGmXGmXGmWFmV\ EmUDmTDmSCmSBmRBmQAmP9mO9mO8mN7mM7mL6mK5mJ5eJ4gI3h\ H3jG2lF1mF1fM3`S5UY7Oc9HiBBoDDlEFjEGhFIeFKcFLaGN_G\ OXHQVHSTHTRIVOIWMJYKJ_IJ`FKbDKcBLe9Lg6Lh4Mj2Mk0Ml3\ Ml6Mm9MmBMnEMnHMoKMoMMpPMpSMpVMqXMq_MrbMreMsgMsjMt\ mMtpMtrMqpLnoLkmLhlLekLbiL_hLXfKUeKRdKObKLaKI_KFZK\ CYKB_KB`LAaLAbM9dM9eM8fN8hN7iO7jOUlOUmPUnPUoPUpOcq\ NcqMcrLcrLcsKhsJhtIhtIhuHhuGhvFcvFmwEmwDmxCmxCmyBm\ yAmz9mz9mzGmzMmzSzzZzzdzzjzzpzzozznzznzzmzzmzzlzzl\ zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzz } 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 15-01-14 (Avuncular Fractal [A-7,M-7])
by Jim Muth 15 Jan '14

15 Jan '14

FOTD -- January 15, 2014 (Rating A-7,M-7) Fractal visionaries and enthusiasts: Today's image is named "Avuncular Fractal", which if taken literally, would mean it relates to an uncle. Actually the name is pure nonsense, much like what some say about certain things I sometimes write. But what the heck!?! Nonsense is what makes life and fractals so interesting. The generating expression combines 11 negative parts of Z^(-1.1) with 1.1 negative parts of Z^(-11.1) before adding (1/C) on each iteration. The resulting parent fractal is a typical double negative thing consisting of four vertically stacked bays with a prominent 'fan' extending east from the origin. Curving filaments extend outward from these bays and terminate in a series of rings. Today's scene lies in the large southernmost ring. The rating of a 7 for both the art and math is not quite high enough to make the 3-minute calculation time much of a bargain. But the true bargain, with associated happiness, may be found on the web sites. Find happiness! How? By checking the finished image 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 heavy fog here at Fractal Central. The fog cleared away by mid-morning, but clouds moved in by noon, and light rain began a couple hours later. The fractal cats were annoyed that the sun was obscured just as it was ready to shine on their window shelf. The humans, having nothing to be annoyed about, made it through the day with minimum angst. There is a 90-percent chance that next FOTD will appear in 24 hours. The chance will increase to 100 percent when it actually does appear. Until then, take care, and when I was in school we never heard of school shootings, nor did we flood the school with grief counselors when two students were killed in drunk driving accidents. We either care a lot more nowadays or our students are turning into angry wimps. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Avuncular_Fractal { ; time=0:03:00.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=MandAutoCritInZ function=recip passes=1 center-mag=+1.703904359650447/-9.221842800854315/\ 3.348801e+010/1/143/0 params=-11/-1.1/-1.1/-11.1/0\ /100/0/0 float=y maxiter=1600 inside=0 logmap=190 periodicity=10 colors=00050J60I70H80G90FA0DB0CC0BD1AE29F38G47H56I\ 65K74M83O92QA6SD9UGCWJGYMJ_PM`SQ`VTaZWaaZbdbcgecjh\ emlgqoiurlxuoytrzswzrvzqszppzopzonynnxmlyllykgyjjy\ jbyiazhazgazfazeazeZxfXwgVvhSuiQtiOrjLqkJplHomEnmC\ lnAko7jp5iq3hq7gmAfiDeecdbccZccVcbRmaOm`Km_GmZCzZ9\ zYAzYAzYBzYBrYCrYCrYDrXDrXErXEmXFmXFmXGmXGmXGmWFmV\ EmUDmTDmSCmSBmRBmQAmP9mO9mO8mN7mM7mL6mK5mJ5eJ4gI3h\ H3jG2lF1mF1fM3`S5UY7Oc9HiBBoDDlEFjEGhFIeFKcFLaGN_G\ OXHQVHSTHTRIVOIWMJYKJ_IJ`FKbDKcBLe9Lg6Lh4Mj2Mk0Ml3\ Ml6Mm9MmBMnEMnHMoKMoMMpPMpSMpVMqXMq_MrbMreMsgMsjMt\ mMtpMtrMqpLnoLkmLhlLekLbiL_hLXfKUeKRdKObKLaKI_KFZK\ CYKB_KB`LAaLAbM9dM9eM8fN8hN7iO7jOUlOUmPUnPUoPUpOcq\ NcqMcrLcrLcsKhsJhtIhtIhuHhuGhvFcvFmwEmwDmxCmxCmyBm\ yAmz9mz9mzGmzMmzSzzZzzdzzjzzpzzozznzznzzmzzmzzlzzl\ zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzz } frm:AutoCritInZ {; 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 14-01-14 (Battle in the Deep [A-8,M-8])
by Jim Muth 15 Jan '14

15 Jan '14

FOTD -- January 14, 2014 (Rating A-8,A-8) Fractal visionaries and enthusiasts: I named today's image "Battle in the Deep". It could be a picture of a squid and lobster locked in mortal combat, or more likely it could be a glimpse of what goes on in a near-Julia aspect of Seahorse Valley of the (-Z)^(1.5)+C Mandeloid. But whatever it is, the image rates an 8 both for art and math. A couple very similar images have already appeared as FOTD's several years ago, which keeps today's rating from being even higher. But don't be put off by the repeat. Today's FOTD image is certainly worth the few minutes required to set up and run the parameter file. The outer shape of two touching circles is a Julia set of 'Seahorse Valley' of the parent Mandeloid. The jagged tannish arms inside the double circle are part of the Mandeloid Seahorse Valley itself, grossly enlarged and distorted by being sliced at such an extreme angle, which is double rotated only 0.01,0.01 degree from the true Julia orientation of 90,90. The near-proportional enlargement of the Mandelbrot valley is a four-dimensional thing that happens when a shape with two extended dimensions and two small dimensions is cut by a 2-D slice at an angle very close to the plane of the two extended dimensions, and intersects this plane in only one point. It's impossible to visualize in 3-D space, where two planes must always intersect in a line and only one dimension can be stretched. The image may be seen by running the included parameter file or by visiting one or all of the FOTD web sites. The image is posted 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 here at Fractal central began with rain, which continued until mid-afternoon, leading to a cloudy evening with a temperature of 45F +7C. The new fractal cat Jasmine, who is now looking more like a cat and less like a kitten, is getting more attention from old fractal cat Nicholas, who is starting to notice that she will soon be a lady cat. The fractal people have known this for several months. Their concern is more about work and the current world problems. The next in the near endless series of FOTD fractals will soon be posted, with many more FOTD's still in the pipeline. Until whenever, take care, and the world apparently makes sense only on the human scale. When we start to grapple with the extremely large or small, nothing makes sense at all. Maybe the mystics and New-Agers are right and everything really is an illusion. Jim (I'm a Boltzmann brain) Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Battle_in_the_Deep { ; time=0:02:00.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=SliceJulibrot5 passes=t center-mag=-0.288401/0/1.25 params=89.99/0/89.99/\ 75/-0.74074/0.00399/0/0/1.5/0 float=y maxiter=1500 inside=0 outside=tdis periodicity=0 sound=off colors=000A0mA0mA0mA1mB2mC4mD7mEAmFDmGGmHJmIMmJPmL\ SnNVoPXlRYjT_gVadXcbZe_`gXbiVdkSfmPhnNjoKloIjjHifG\ hbFgZEfVDeRCcNBbJAaF9`B8_77Z37TC8NK8HS9C_9GXDKVGOT\ JSRNWPQ_NTcLWaNV_PVYRUWTUUVTSXTQZTO`SMbSKdRIfRGhQE\ jQCwJDqNDkQEfTE`WFWZFQaRHeNJdJKdFLdCMc8Nc4Oc1Pcf06\ a9AXHDSPGIVDKWFMWHOXJPXLRYNTYOVZQWZSYZU__Wa_Xb`Zd`\ `fabhadQq`yqfqieiaecP_bRabTcbVeaXgaZiZaia`jc_jeZjg\ YjiXjkWjmVjoUjqTjsSjuRjwQjyQjvPktPkrPkoPkmPkkPkiPk\ fPldPlbPl_PlYPlWPlOXmRTlUPlXLk_HkdBkaEkZHkWKkTNkQP\ kNSkKVkHYkE_kBbk8ek5hkhE4gC3fA1f90cB2`C4ZE6WF8TH9R\ IBOKDMLFJNGGOIEQKBRM9SNEULJVKNWJSXIXZH`_Ge`FiaEkbH\ mbKnbNpcQqcTscWtcYpdWmeVjfUggSihRkiQliPmjNnkMolLom\ JpnIpoHqoGqnJqnMpnPonSnnVmnYkn`tncynfzjizfdvb_sZWq\ VRoQNmLIkGEhB9d65YCCcIJnOQkUWjVEhSQdRNZJTUMTTQYZMg\ cJc_GdWDeSAfP8fL5gH2hE0hJ3eN5bS7_W9X_CUdERhGOlIMjL\ QiOThRWgU_eWbdZecaibdlafo } 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 13-01-14 (Popcorn Eruption [A-8,M-7])
by Jim Muth 15 Jan '14

15 Jan '14

FOTD -- January 13, 2014 (Rating A-8,M-7) Fractal visionaries and enthusiasts: Today's parent fractal is an oversized Mandelbrot set corrupted in its depths by Z^(2.5) energies. And as a quick glance will reveal, the corruption is not limited to the depths. The main spike of the parent is infinitely fractured, which has a great effect on the minibrots strung along it. Today's image lies not far beyond the largest minibrot on the spike, in the chaos between two totally separated smaller minibrots that once were a single minibrot. The actual location is very close to the negative X-axis. The fractional part of the exponent of Z means the image must have discontinuities, though they are quite subdued. The most obvious one extends out from the central minibrot and heads just east of north. This discontinuity breaks the symmetry of the pattern around the minibrot, which merely adds interest to the overall scene. The name "Popcorn Eruption" was inspired by the popcorn-like elements in the four major lobes of the pattern. This popcorn earned the art a rating of an 8. The extra stub near the discontinuity earned the math a rating of a 7. The calculation time of a fireball 40 seconds will prevent boredom from arising once the task of setting up the parameter file is completed. Checking the finished image on the web sites will eliminate even this task. The image is posted 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 clouds and sun made today reasonably pleasant here at Fractal Central. The temperature of 45F +7C actually felt mild for the season. The fractal cats had an average day just like the humans enjoyed. The next FOTD will certainly be posted, though the exact time is still in question. Until whenever, take care, and I'm not sure if I am a progressive conservative or a conservative progressive . . . . or is there a difference? One thing I do know however is that, despite being considered an Atheist, I do believe in a conscious creative energy. Jim (never discuss politics or religion) Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Popcorn_Eruption { ; time=0:00:40.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=MultiExp function=recip center-mag=-186.1208162632915/+0.00000165249515351\ /7.491976e+008/1/-162.5/0 params=2.5/100 float=y maxiter=2500 inside=0 logmap=102 periodicity=6 colors=000bPjaQj`Ti_VhZXgYZgX`gWbgVdgUfgTigSlgRngQ\ qgPsgOteOtcNtaUt`ZuZcuXcuWcuUcvShvRmvPzzzuovzjJmZG\ cNDUBAK08E8LFGYMNjLLhLJfLHdKFbKD`JCZIAXF8VF6TD4RA2\ P51OB7KHCGMICNN8OT4OY1NZ6NZANZENZJNZNNZRM_WM__M_cM\ _hM_lM_p_p7z4Fx8HwCJvGLuJMtNOsRQrUSqYToaVndXmhZll_\ koajsciwehzfgxgfvgetherhdphcniblibjiahj`fj`ej_beZ_\ aYYYXVUWTPVQLUOHTLDSJ9UMDVOHWRKXTOYWRZYV_`Y`baaedb\ ghcjkdloeorfqvgsyepldm`bjOagC`d0KkB4rL7sO9sRBtTDtW\ FtZIu`KucMueOvhQvkTwmVwpXwsZxu`xxbxzdageFQVNZKVgNW\ ePXdSXcUYbWZaZZ``__b`Ye`XgaWibVlbUncTpcSmcXkc`hcdf\ chdcllcUjmSimQhmOgmMemKdmIcmGbmEamHarKarMarParRarU\ arXarZaraazzbzzbzzbzzbzzbzzbzzbzzmszmtzmuzmozzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzrzztzzuzmssmttmutmvumwumxvm\ yvzzwzzwzzxzzxzzyzzyzzxzzxzzwzzwzzvzzvzzuzzuzztzzt\ zzszzszzszzkzzczzWzzOzzGzz8zz0zz2zz3zz5zz6zz7zz9zz\ AzzCzzDzzEzzFzzFzzGzzGzzD } frm:MultiExp { ; Jim Muth z=(0,0), c=pixel, a=-(real(p1)-2), b=imag(p1)+0.00000000000000000001: z=z*z*fn1(z^(a)+b)+c |z| < 100000000 } END PARAMETER FILE=========================================

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FOTD 12-01-14 (Hexapentabrot [A-7,M-6])
by Jim Muth 12 Jan '14

12 Jan '14

FOTD -- January 12, 2014 (Rating A-7,M-6) Fractal visionaries and enthusiasts: Today's scene lies on the largest filament extending from the period-4 bud on the northeast shore line of the main bay of the large minibrot on the main spike of its parent Mandelbrot set, which is corrupted by Z^6 energies. The scene lies very near the point where the filament changes from an apparent broad area of chaos to a thin jagged single line. I named the image "Hexapentabrot" to point out that Z^6 Mandeloids come with only 5 large buds surrounding the central bay, when intuition would say there should be 6 buds to match the rings of 6 elements farther out, such as the Julia sets have. The art rates a 7, as least as I see it, while the math checks in at a 6. The math trick is not exactly new. The calculation time of 1-1/2 minutes will almost fly by. But it might be safer to remain on the ground by checking the image on the web sites. The finished image is 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> Lots of clouds but a relatively mild temperature of 39F +4C made today quite unremarkable here at Fractal Central. The fractal cats had nothing to say about the outside conditions, though they did speak out when their food was too slow in coming. The fractal humans spent time discussing a few of the conspiracy theories presently circulating on the internet. The next FOTD will be posted in the right time. Until whenever, take care, and why is it so important that everyone believes in global warming when so very few are ready to make the financial sacrifices needed to slow it? Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Hexapentabrot { ; time=0:01:30.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=MultiExp function=recip periodicity=6 center-mag=-104.9372340850264/+0.8277172921039455/\ 1e+009/1/-81.25/0 params=6/60 float=y maxiter=1500 passes=1 inside=0 logmap=150 mathtolerance=0.05/1 colors=000JOKJPKKQKKRKKSKKTKKUKJVKIWKHXKGYKFZKE_LD\ `MCaNBbOAcP9dQ8eR7fS6gT5hU4gV4fW4eX3eY3dZ3c_2b`2ba\ 2ab1`c1_e1_g0Zi0Yk0Ym4_i8`fCacGb_KcXOdUSeRWfN_gKdh\ HhiEljApk7sl4vj1uh3te4sb5sY6rU7qR8kN9fJA`FB_BC_8DU\ CGOAJN9MI8OG7O900700000EAKSFTeKVeNPfPKURFIS6PQ5VO4\ cM3mK2rU1wU0sU1mM2iP2dS3`U3YX4U_4Rb5Od5Ui7_n8es9kw\ AlqBlkCleCl_DmUEmOEmIFmCGm6GgU8aq1Vk7PfDJaJDXP7SVB\ VYEY_I_aLbcPefSghWjjZllbooerqitslwuoywgut_qrSmpKin\ DelCblB_lmNsUnHDd`Df_ChYCkXCmVCpUCrSCuRCwPCyOExQFx\ RHxTIxUJxWLzX7zG6zJ5zM5zP4zR3zU3zX2z_`kjckifmiirif\ wjcwkawlZwlXvmUunjtzmszoszqszsszuszwszutzttzrtzqtz\ puznuzmuzluzkuzkuzkuzjtzjtzitzitzhtThtThtUgtUgsVfs\ VfsWfsWesXesXdsYdsYdrYcrZcrZbr_br_br`ar`aqa`qa`qb`\ qb_qc_qcZqcZqdYpdYpeYpeXpfXpfWpgWpgWohVohVoiUoiUoi\ UojTojTokSnkSnlSnlRnmRnmQnnQnnUmcUm`Um`Um`Um`Um`Um\ `UmaUmaUmaUmaUmaUmaUmbUmb } frm:MultiExp { ; Jim Muth z=(0,0), c=pixel, a=-(real(p1)-2), b=imag(p1)+0.00000000000000000001: z=z*z*fn1(z^(a)+b)+c |z| < 100000000 } END PARAMETER FILE=========================================

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(no subject)
by info＠hotmail.com 12 Jan '14

12 Jan '14

-- ---------------------------------------------------------------- Este mensaje ha sido enviado desde https://webmail.unav.es

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FOTD 11-01-14 (Festival of Lights [A-8,M-6])
by Jim Muth 11 Jan '14

11 Jan '14

FOTD -- January 11, 2014 (Rating A-8,M-6) Fractal visionaries and enthusiasts: Today's image lies in a scepter on the west side of the north branch of Scepter Valley of its oversized parent Mandelbrot set, which is corrupted in its depths by Z^7 energies. At a depth of over 10^11, this is about as deep as we can go, at least with the comparatively fast standard math routine of DOS Fractint. At this deep level the Z^7 energies have taken over almost completely, though the quadratic element is still visible in the ring of 14 (7x2) pinkish blocks surrounding the order-7 minibrot, which for mathematical reasons has only 6 lobes. The name "Festival of lights" refers to the brilliant white lights hanging on the tips of several curved arms radiating from the center. These lights are completely whimsical. The art rating is a lofty 8. I gave myself a one-point bonus for the coloring, most of which came automatically with a stroke of the enter key. The math rating is an average 6. The calculation time of 1-3/4 minutes is brief enough to prevent the more impatient fractalists from becoming restless. And the web sites can make things even better. Fractal calculation may be avoided completely by viewing the finished image 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> Perfectly miserable weather prevailed here at Fractal Central today. The day began with fog and a misty drizzle that froze in spots on the still cold pavements. The temperature warmed in the afternoon, but the rain grew much heavier, with the threat of ice jams on the frozen rivers. The fractal cats had a pleasant day however, at least as far as we humans could tell. The next FOTD will be posted in the near future, and I would not be surprised if it were in 24 hours. Until whenever, take care, and never reduce God to the level of a mere human by giving Him the attributes of mere humans, such as anger and retribution or forgiveness and reward. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Festival_of_Lights { ; time=0:01:45.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=MultiExp function=recip inside=0 center-mag=-87.64457984849923/+1.511163957189901/\ 1.404e+011/1/80/0 params=7/70 float=y maxiter=3000 logmap=314 periodicity=6 mathtolerance=0.05/1 colors=000zzzzzz0AE09D08C07B06A0590480370260150040\ 03002001001000000000000000000000ZUFSOCLI9EC67636LR\ 5IO4GL4EIzzz29C279146023qQwkNpeKi_HcUEXOBQI8KC5D62\ 66xj5pd4hZ3aT3UN2MH1FB075pH6ZB4H52UMIRKGPIFNGDKFCI\ DBGB9DA8B86965654432211eOHXJDPEAG96843tQzqPsoOrmNq\ iMpgLoeKnbJmZImVGhSEcOCZLAUH9PE7KA5F73A315bzz_qzYn\ zVkzTgzQczOZzLUzJQvHNrEJmCGh9Dc79U46K23A7L06J06I05\ H05F04E04D03B03A0390270260150130020010LbHJZFHVDFSC\ DOABL99H77E65A4373131fR4aO3YL3UI2PG2LD2HA1C8185042\ 06VyeAfb9c_8`Y8YV7WS6TQ6QN5OL5LI4IF3GD3DA2A7185152\ 02QKzA7KwszhezUSzFEz2Oz1Kz1Gz1Cz08zQ4DY8EdCFkGFlMD\ mRBnW9o`7pe5o`6oX7nS7nO8mJ9mF9jMBhSDeZFcdH`kJZmKXm\ QWmVUm`TmeRmkQmpPmuKmpGmkBmf7maUzzUzzUzzUzzUzzUzzU\ zzUzzczzczzczzczzczzczzczzczzmzvmzumtumzumzumzumzs\ mzqmzomznqzltzjwzixzkxzlyzmyznyzpzzqzzrzzsyzpyzmxz\ jxzgozhfziYzjHzXFzXCzWAzW } frm:MultiExp { ; Jim Muth z=(0,0), c=pixel, a=-(real(p1)-2), b=imag(p1)+0.00000000000000000001: z=z*z*fn1(z^(a)+b)+c |z| < 100000000 } END PARAMETER FILE========================================= t 07:10 PM 1/10/14 -0500, you wrote: > >FOTD -- January 10, 2014 (Rating A-7,M-7) > >Fractal visionaries and enthusiasts: > >Today's image lies in the northern branch of the Seahorse Valley >of an oversized Mandelbrot set corrupted in its depths by Z^9 >energies. It lies at a depth where ninth-order elements predomi- >nate close to the minibrots, while quadratic elements prevail >farther out, and the in-between areas are a confused but interes- >ting mix of Z^2 and Z^9 elements, but with no discontinuities. > >The image abounds with smaller order-9 minibrots, the most >obvious of which lie at the upper left and lower right edges of >the scene. I checked these minibrots and found them much the >same as the large one in today's image, though somewhat more >chaotic. > >The name of the image is paradoxical. I named it "Image With No >Name" because I could think of nothing better. But this still >identifies the image, so I guess it's up to the wise philoso- >phers and logicians to decide if the image actually has a name. > >The art and math both rate a 7, which is good enough but leaves >plenty room for improvement. The calculation time of 4 minutes >is slow however, and could give impatience a chance to arise. >The web sites can eliminate this threat. > >The completely calculated image is available 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> > >Two inches (5cm) of snow fell overnight here at Fractal Central, >but ended before daybreak. The rest of the day was cloudy with >a temperature of 36F +2C. The fractal cats noticed the fresh >cat footprints in the new snow, then settled down for a day of >tussling, eating and sleeping. The fractal humans were happy to >have made it through another day and week. > >The next FOTD will be posted in either one or two days, depen- >ding on how much of an antiquing expedition happens tomorrow. >Until whenever, take care, and I wonder why the existence of >global warming has become such a big political debate. The >earth certainly is getting warmer. It has been for thousands >of years, and there is nothing we can do to stop it by passing >meaningless laws. > >For some strange reason, I suspect that a potential transfer of >money is involved. > > >Jim Muth >jimmuth(a)earthlink.net > > >START PARAMETER FILE======================================= > >Image_With_No_Name { ; time=0:04:00.00 SF5 at 2000MHZ > reset=2004 type=formula formulafile=basicer.frm > formulaname=MultiExp function=recip inside=0 > center-mag=-74.83193719158429/+7.494763709824741/\ > 7.2e+009/1/-22/0 params=9/100 float=y maxiter=3000 > logmap=524 periodicity=6 mathtolerance=0.05/1 > colors=333BjUBjUBkVBmWAoYAqYBrXCrWDrUFtUHtUItTKvSN\ > vRQvRRxRUxQWxPYzO`zNczMdzLazK_zJYzJYzIYxHXtGXrMZpV\ > `mc`jkbizbhzbexbdxbbvbbvaatabtaarabrabqbdqeeofdmgf\ > mhfkjhkkjjnkkqklrmntmnvnoznozlnxikzggtcdr``qWZoTWm\ > OTjMRhJOgHMeEKcCHbBG`9E_9DV9CT9BQABOBBMBAHB9EA8C97\ > EA7GA7HB7KC7MD7OE7QF7TE7VD7YC7`C8cB8eA8cA9`9AX8CT7\ > FO5KK5PH6SE6TD6UD7VC7XB7YC8`B8bA8cA8eB9gA9hA9bB9XC\ > ASDBNFDKGGGHGFKJCNM9PP8NQ8LS8KT8IT8IU8HV8EKFEMHFPK\ > HSNHUQIXUJ_WMcTQgQSjMTmIXrG_vEczDdzCixDXoHSgOM_VJV\ > gGRmFRmEQkHRkLSjOSjUUhYUhaUgeUgKVoCYx`F9cFCgHGjHKm\ > IOqITrIXHNXILRJKOKKKLIINGFPFERFHUEMWERYFZ_GcbHgeIm\ > eqlZggVagTdgQggzzzzkozmhqmcmmYcmTIcPHcOHcNJcMIcLIc\ > LIcLIcKJ_LJcKKhLKjKJkKJmKJmKIoKIqLHrLHrK_jKScKOcLK\ > bMGeMDjNmmPmkSmmVmqZmtdmxhmzknzqxzxzzzxzxuztzzqzzn\ > zzizzfzzczzazzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\ > zzzzzzzzzzzzzzzzzzzzzzzzz } > >frm:MultiExp { ; Jim Muth >z=(0,0), c=pixel, a=-(real(p1)-2), >b=imag(p1)+0.00000000000000000001: >z=z*z*fn1(z^(a)+b)+c >|z| < 100000000 } > >END PARAMETER FILE========================================= > > > >_______________________________________________ >Fractint mailing list >Fractint(a)mailman.xmission.com >http://mailman.xmission.com/cgi-bin/mailman/listinfo/fractint >

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FOTD 10-01-14 (Image With No Name [A-7,M-7])
by Jim Muth 11 Jan '14

11 Jan '14

FOTD -- January 10, 2014 (Rating A-7,M-7) Fractal visionaries and enthusiasts: Today's image lies in the northern branch of the Seahorse Valley of an oversized Mandelbrot set corrupted in its depths by Z^9 energies. It lies at a depth where ninth-order elements predomi- nate close to the minibrots, while quadratic elements prevail farther out, and the in-between areas are a confused but interes- ting mix of Z^2 and Z^9 elements, but with no discontinuities. The image abounds with smaller order-9 minibrots, the most obvious of which lie at the upper left and lower right edges of the scene. I checked these minibrots and found them much the same as the large one in today's image, though somewhat more chaotic. The name of the image is paradoxical. I named it "Image With No Name" because I could think of nothing better. But this still identifies the image, so I guess it's up to the wise philoso- phers and logicians to decide if the image actually has a name. The art and math both rate a 7, which is good enough but leaves plenty room for improvement. The calculation time of 4 minutes is slow however, and could give impatience a chance to arise. The web sites can eliminate this threat. The completely calculated image is available 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> Two inches (5cm) of snow fell overnight here at Fractal Central, but ended before daybreak. The rest of the day was cloudy with a temperature of 36F +2C. The fractal cats noticed the fresh cat footprints in the new snow, then settled down for a day of tussling, eating and sleeping. The fractal humans were happy to have made it through another day and week. The next FOTD will be posted in either one or two days, depen- ding on how much of an antiquing expedition happens tomorrow. Until whenever, take care, and I wonder why the existence of global warming has become such a big political debate. The earth certainly is getting warmer. It has been for thousands of years, and there is nothing we can do to stop it by passing meaningless laws. For some strange reason, I suspect that a potential transfer of money is involved. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Image_With_No_Name { ; time=0:04:00.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=MultiExp function=recip inside=0 center-mag=-74.83193719158429/+7.494763709824741/\ 7.2e+009/1/-22/0 params=9/100 float=y maxiter=3000 logmap=524 periodicity=6 mathtolerance=0.05/1 colors=333BjUBjUBkVBmWAoYAqYBrXCrWDrUFtUHtUItTKvSN\ vRQvRRxRUxQWxPYzO`zNczMdzLazK_zJYzJYzIYxHXtGXrMZpV\ `mc`jkbizbhzbexbdxbbvbbvaatabtaarabrabqbdqeeofdmgf\ mhfkjhkkjjnkkqklrmntmnvnoznozlnxikzggtcdr``qWZoTWm\ OTjMRhJOgHMeEKcCHbBG`9E_9DV9CT9BQABOBBMBAHB9EA8C97\ EA7GA7HB7KC7MD7OE7QF7TE7VD7YC7`C8cB8eA8cA9`9AX8CT7\ FO5KK5PH6SE6TD6UD7VC7XB7YC8`B8bA8cA8eB9gA9hA9bB9XC\ ASDBNFDKGGGHGFKJCNM9PP8NQ8LS8KT8IT8IU8HV8EKFEMHFPK\ HSNHUQIXUJ_WMcTQgQSjMTmIXrG_vEczDdzCixDXoHSgOM_VJV\ gGRmFRmEQkHRkLSjOSjUUhYUhaUgeUgKVoCYx`F9cFCgHGjHKm\ IOqITrIXHNXILRJKOKKKLIINGFPFERFHUEMWERYFZ_GcbHgeIm\ eqlZggVagTdgQggzzzzkozmhqmcmmYcmTIcPHcOHcNJcMIcLIc\ LIcLIcKJ_LJcKKhLKjKJkKJmKJmKIoKIqLHrLHrK_jKScKOcLK\ bMGeMDjNmmPmkSmmVmqZmtdmxhmzknzqxzxzzzxzxuztzzqzzn\ zzizzfzzczzazzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzz } frm:MultiExp { ; Jim Muth z=(0,0), c=pixel, a=-(real(p1)-2), b=imag(p1)+0.00000000000000000001: z=z*z*fn1(z^(a)+b)+c |z| < 100000000 } END PARAMETER FILE=========================================

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FOTD for 1/9/14
by Brian Prentice 10 Jan '14

10 Jan '14

Here are five monochrome details of Jim's fractal published yesterday: http://bprentice.webenet.net/Fractal%20Images/Set%2018/BP_18_82a.png http://bprentice.webenet.net/Fractal%20Images/Set%2018/BP_18_82b.png http://bprentice.webenet.net/Fractal%20Images/Set%2018/BP_18_82c.png http://bprentice.webenet.net/Fractal%20Images/Set%2018/BP_18_82d.png http://bprentice.webenet.net/Fractal%20Images/Set%2018/BP_18_82e.png they were chosen to illustrate the extraordinary shapes within this fractal. Brian Prentice

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FOTD 08-01-14 (Magical Fifteen [A-8,M-6])
by Jim Muth 09 Jan '14

09 Jan '14

FOTD -- January 08, 2014 (Rating A-8,M-6) Fractal visionaries and enthusiasts: Today's image is a scene in the East Valley area of a tiny half-morphed minibrot just beyond the large minibrot on the main spike of its parent fractal, which is a hugely oversized Mandelbrot set corrupted in its depths by Z^15 energies. At the depth of today's scene, the Z^15 energies have completely taken over, though the outer elements still retain much quadratic detail. I named the image "Magical Fifteen" because I have always seen something magical in the way the higher-order energies take over in the depths of apparently perfectly ordinary Mandelbrot sets. In my opinion, the art rates an 8. I did put about an extra half hour into the coloring to justify the rating. And the calculation finishes in only 2-1/3 minutes, making the image quite a bargain. For those shy about calculating fractals, the finished image is posted on the web sites. Check it 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> Lots of clouds were the rule today here at Fractal Central. The temperature of 19F -7C was still quite cold, but after the past week, it felt not too bad. The fractal cats spent the afternoon waiting for the sun to appear. When it never did, they decided to have a meal. The humans, who are always occupied with one thing or another, had a busy but un-notable day. The next FOTD will be posted right here in only a few hours. Until then, take care, and why do angels, who are apparently mammals, have feathered wings? One would think they would fly with bat-like wings such as the devil has. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Magical_Fifteen { ; time=0:02:20.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=MultiExp function=recip passes=1 center-mag=-1796.053377352276/-0.00002501424642828\ /1.77998e+009/1/42.5/0 params=15/1000 float=y maxiter=1600 inside=0 logmap=282 periodicity=6 mathtolerance=0.05/1 colors=00000A00A00A00A00A30A60AA2AE5AK9AQDAWLAaRAg\ VAjXAkWAlU9lQ1kK0jE0hC0gB0fA0f90c80b70_60Y40W30U20\ S10T00R00Q00T10V40X73ZA6`D9cGCeJFgMIiPLkSOmVRnYUo`\ XrieunnxsrvqoromomknkiliglhelgbkfZkgWjhRjiMjjGik7i\ l8jp8im9ikAiiBigCieDicDhaEh`Fh_GhZHhYIjXKhWIfVHdUF\ bTEaSC_RBYQ9WP8UO6VN4TN5SO6RP7QQ8PR9OS9NTAMUBKVCJW\ DIXDHYEGZFF_GE`HejCe`HeRMeHReCVe8Ye4ae0de0ge0ae0Wd\ 0Rc0Lb1Fa2A`2A`3A`3A`3A`3A`39`39`39`39`39W38W38W38\ W38W43W38W38W37W37W37W37W37W37W36W46W46W46W46W45W4\ 5W45W45W45W45W44W44W44W44W44W44W43W43W43W43W43Yq0X\ o0Wm0Vl0Uj0Th0Sg0Re0Rc0Qb0P`0OZ0NY0MW0LU0LT0KR0JP0\ IO0HM0GK0FJ1EH1EF1DE2CC2BA2A93CzzClzCfzB_zBTzBOjBJ\ fAFaAEZADWACTABR9BO9AM99J98H97F8CC8HA8M78R5zeHzgGz\ iGzkGzmGznGzoFzpFzqFzrFzzFzjEizEizEhzEgzEgzEfzDezD\ ezDrzDrzDrzCrzCrzCrzCrzCrzBrzBrzBrzBrzBrzBrzArzArz\ JrzJrzJrzHrzGrzFrzDrrCrrB } frm:MultiExp { ; Jim Muth z=(0,0), c=pixel, a=-(real(p1)-2), b=imag(p1)+0.00000000000000000001: z=z*z*fn1(z^(a)+b)+c |z| < 100000000 } END PARAMETER FILE=========================================

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FOTD 09-01-14 (Feminine Features [A-7,M-7])
by Jim Muth 09 Jan '14

09 Jan '14

FOTD -- January 09, 2014 (Rating A-7,M-7) Fractal visionaries and enthusiasts: Today's image is a scene I found in a distorted Mandelbrot set corrupted all the way through by Z^(1.001) energies. The East Valley area of this parent fractal is shrunken out of sight, while the main spike area is blown up like a balloon. A large bay lies between the extremes, with today's scene located near a kind of knot at the tip of a filament extending from a small bud on the northern shore line of this large main bay. I named the image "Feminine Features" because of the shades of pink. It is a strange name because I usually avoid the lacy, flowery, pink stuff found in shops that specialize in feminine things. (FL has no such aversion, but that's her problem, not mine.) The art rating of a 7 might have been a point or so higher if I had given more attention to the colors and brightened them up a little. The math rating of a 7 shows that I was rather sur- prised at the things Z^(1.001) corruption can do to a Mandelbrot set. The calculation time of 2 minutes is right on the mark for such an image. It's just enough time to leave the room, pour a drink, and get back to the computer. Checking the image on the web sites will save the hike. Relief from fractal thirst may be found 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> Today brought a big improvement to Fractal Central, with cloud- less skies, brilliant sunshine, and a temperature of 27F -3C, which was still well under the freezing point, but with light winds felt almost like a day in early spring. The fractal cats welcomed the sun on their window shelf, but couldn't decide who would get the top-cat spot. The fractal people simply made it through another day. Hey, life is no soap opera, so don't expect constant, ever more interesting, storm and stress. The next FOTD will be posted before too long. Until whenever, take care, and I hear that God is infinitely forgiving and merciful -- as long as we are still alive, that is. But when we die, watch out. They say He turns into the most unforgiving, vengeful being we could possibly imagine. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Feminine_Features { ; time=0:02:00.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=MultiExp function=recip center-mag=+2.110941340568/+6.205610652844/1568031 params=1.001/11 float=y maxiter=1400 inside=0 logmap=360 periodicity=6 mathtolerance=0.05/1 colors=000zzz0ZS0YV0YX2XZ6XaAWcEWeCPfAIg8Bh75i50j3\ 0k20k90XG0IN03R3IVMWOLSILOCLK5LG0LC0L80L40K60K83JA\ 9JBEIDJIFOIGKG6GE0NC0MI4QIML3LB07D0AF0BH06J02L00N0\ 0P20S50V80YA0_D0bF0eI0gK0_N2TQ6MTAFVD7YH0`L0cP0eS0\ VV0KX0AZ00`00b60XF0RO1LX5G0N20R90XG0LM06R0BW6EZMJf\ XVhggkvxvsXfuDZqASnDSiGTgIMeKHcMBbO6VL5NI5FF48C4DR\ RIelEckAbj6ai2`h0_hT0Z00M00O32Q64S86UB9WEBYHD_JFaI\ JbINcHRdHVeGZfGbgIR_JGSKBFK72F27A0B50G00K00O80IJ3D\ VB8eJ3eJ0eJ0eJ0eJ0eJ0_S1V`EW`EW`EYQeXRdXRcXRcXRbXS\ aXSaXS`XS_XT_XTZXTZXTYXUXXUX0QH0PL2OP4OS5NW7MZ9LbA\ LeD3OG07H0BH0EH0IH0LH0OI0SI0VI0YI0aI0dI0gH0fG0eG0d\ F2cF6bEAaEF`DJ_DNZCSYCWXB_WBcWE`TGbRJePLYNNVLQTJSQ\ HVPFXKDZKBaK9cK7fK5hK3jK1kK8kK6kK5kK4gK8cKBcJEcMHc\ RKcUNc_QcaTc`UcaUcaUcaUcaUcaUmfUmmUmqcmqcmqcmpcmpm\ mpmmpmzxmzxzzxzzxzzxzzxzzxzzzzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzz } frm:MultiExp { ; Jim Muth z=(0,0), c=pixel, a=-(real(p1)-2), b=imag(p1)+0.00000000000000000001: z=z*z*fn1(z^(a)+b)+c |z| < 100000000 } END PARAMETER FILE=========================================

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Medallion of Four
by Mike Frazier 08 Jan '14

08 Jan '14

This fractal has a lot of symmetry yet it also has a lot of different shapes. It has circles, a square, and an octagon. The formula is a variation of the parallel resistor formula and has a z ^ 4 term as its lowest z component. I have noticed previously that the lowest z term seems to set the types of minibrots you see in the fractal and this one follows the same pattern. This fractal has the four way symmetry you expect to see with a z ^ 4 term but it also has a structure with 12 arms which isn't as common. The color palette is one I have used numerous times before because it seems to work with any fractal with no adjustments. Fracton's color palette editor is very tedious to use so I tend to reuse the same palette. I have plans for upgrading the color palette editor but those will likely take a few months to complete (at best). I recently updated Fracton with some improvments to other areas of Fracton's user interface. If anyone is interested, Fracton can be downloaded from the www.fracton.org website. Fracton is FractInt PAR file compatible and free but Mac only. I have quite a few other fractals I am hoping to post in the coming weeks. Most of them are in the same color palette as todays fractal. So now you know why. Here is a link to an image: http://dl.dropboxusercontent.com/u/33642054/image/medalion_of_four.jpg The Fractint compatible PAR file for the image is: medalion_of_four { ; Exported from Fracton. reset=2004 type=formula formulafile=fracton.frm formulaname=F_20140108_1141 passes=1 float=y center-mag=-3.618931505229473/-7.152557203304979e-\ 14/60606061363.63636/1/0/0 params=-1/1/0/4/-1.13/0/1/0/0/0 maxiter=2000 inside=0 logmap=14 periodicity=6 colors=000C10O40ZA0hI0oS0ua0ym0zy0ym0ua0oS0hI0ZA0O\ 40C10000C10O40ZA0hI0oS0ua0ym0zy0ym0ua0oS0hI0ZA0O40\ C10000C10O40ZA0hI0oS0ua0ym0zy0ym0ua0oS0hI0ZA0O40C1\ 0000C10O40ZA0hI0oS0ua0ym0zy0ym0ua0oS0hI0ZA0O40C100\ 00C10O40ZA0hI0oS0ua0ym0zy0ym0ua0oS0hI0ZA0O40C10000\ C10O40ZA0hI0oS0ua0ym0zy0ym0ua0oS0hI0ZA0O40C10000C1\ 0O40ZA0hI0oS0ua0ym0zy0ym0ua0oS0hI0ZA0O40C10000C10O\ 40ZA0hI0oS0ua0ym0zy0ym0ua0oS0hI0ZA0O40C10000C10O40\ ZA0hI0oS0ua0ym0zy0ym0ua0oS0hI0ZA0O40C10000C10O40ZA\ 0hI0oS0ua0ym0zy0ym0ua0oS0hI0ZA0O40C10000C10O40ZA0h\ I0oS0ua0ym0zy0ym0ua0oS0hI0ZA0O40C10000C10O40ZA0hI0\ oS0ua0ym0zy0ym0ua0oS0hI0ZA0O40C10000C10O40ZA0hI0oS\ 0ua0ym0zy0ym0ua0oS0hI0ZA0O40C10000C10O40ZA0hI0oS0u\ a0ym0zy0ym0ua0oS0hI0ZA0O40C10000C10O40ZA0hI0oS0ua0\ ym0zy0ym0ua0oS0hI0ZA0O40C10000C10O40ZA0hI0oS0ua0ym\ 0zy0ym0ua0oS0hI0ZA0O40C10 } frm:F_20140108_1141 { ; Similar to the parallel resistance formula a=real(p1),b=real(p2),d=imag(p1),f=imag(p2), z=0,c1=pixel-p3,c2=pixel-p4: z=1/(1/(a*z*(cos(z)-1)*sin(z)+c1)+1/(d*(z^f)+c2)), |z|<100 } -- Mike Frazier www.fracton.org

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FOTD 07-01-14 (Rectangle Vestige [A-?,M-5])
by Jim Muth 08 Jan '14

08 Jan '14

FOTD -- January 07, 2014 (Rating A-?,M-5) Fractal visionaries and enthusiasts: Today's scene lies deep inside one of the strange rectangles that haunt the area of the Z^(2.003)+C Mandeloid that lies on the negative X-axis just east of the large minibrot complex. I could not give the art aspect a rating. I'm not sure the image, with its apparently random splash of colors, even has an art aspect. The math rating however is an everyday 5. We have been this way quite a few times before. The image is double rotated 0.4,0.4 degrees from the true Julia orientation, so the parent rectangle is quite distorted. This distortion inspired the name "Rectangle Vestige" The calculation time of 2-1/4 minutes will pass quickly enough. And if the image fails to bring gratification, not much time will have been wasted. To eliminate all chance of wasted time, try the web sites. The easy path to fractal gratification may be found 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 a temperature of -8F -22C and rose to a balmy afternoon high of +5F -15C, accompanied by media warnings of the danger of frostbite. The sky was mostly sunny, but with the air so cold, the sun had no effect on the icy roads and sidewalks. The fractal cats were unusually playful, which for a cat is worth being mentioned. The humans were successful at keeping warm. The next FOTD will be posted in the near future human time, almost instantly cosmic time. Until then, take care, and I heard that global warming is the cause of the unusual cold. Either that or a nuclear winter has begun. In either case, I guess a hefty tax on carbon emission would solve the problem. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Rectangle_Vestige { ; time=0:02:15.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=SliceJulibrot4 passes=1 center-mag=-0.00048501099573621/+0.002209588115359\ 59/1.6116e+008/1/-73.75/0 params=89.6/0/89.6/0/\ -1.7435/0.0001/0.000175/0.073883/2.003/0 float=y maxiter=1800 inside=0 logmap=265 periodicity=0 colors=00001c02c23c45c66c97cB9cDAcGBcIDcLEcNFcPHcS\ IcUJcWLcZMc`NcbPceQcgRcjTc987JGETPL1A22K54V75dA6nC\ 8yF22644D66K88RAAYCCdEEkHHr1203415727938C3AE4CG5EJ\ 6FL6HO7JQ8LS9MV9OXAQ_BSaCUdD1213535857A69D8BGADJBF\ LDHOFJRGLUIMWKOZLQaNScPUfQWiSYlU_nVaqXctZew`120351\ 5827B39E3AH4CK5EN6GP6IS7JV8LY9N`9PcARfBTiC320741B6\ 2E82IA3MC4PE4TG5XI61403804D16H17L29Q2AU3CY3Db4Ff4H\ k540590BE0HJ1MO1ST1YY1cb2hg2nl2tq3z331663A95DD7GG9\ KJBNMCRQEUTGXWI`_KcbMgeNjhPmlRqoTtrVxvX00200400600\ 800A11200C00E00G00I00K00M00O00Q00S00V68TDHRJPPQYMW\ eKbnIiwFbsGWoHOkIHgJ9bLAbLCbLEaMehSimV211532844A65\ D87G98IB9QDBTECWGEYIF`JGcLIeNJhILeLMjONfQPbTQcWS84\ CH8OQC`1333665A97DC9GFBKIDNLFQOHURJXUL_XNc_PfbRje1\ 103314516728829A3BC3CE4EG4GH5HJ5JL6KN6MO7OQ7PS8RU8\ TW90211431652972B93DB4FD4IF5KG5MI6OK7RM7TO8VQ8XS9_\ U9aVAcXBeZBh`CjbCldDnfEqh } 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 06-01-14 (Trouble in the East [A-7,M-7])
by Jim Muth 06 Jan '14

06 Jan '14

FOTD -- January 06, 2014 (Rating A-7,M-7) Fractal visionaries and enthusiasts: While yesterday's image took us to East Valley of the parent almost-Mandelbrot set, today's image takes us to the main spike, where we examine the northeast shore line of the large minibrot, which at today's orientation lies on the southwest side. The minibrot itself is beginning to break up, a sure sign that interesting things are likely to be found there. I named the image "Trouble in the East", not as a comment on world affairs, but as a reminder that the scene lies in a troubled area of the parent fractal. The fact that I skewed the image to twist the chain of 'yellow teeth' from a rhombus to a near-perfct square also entered into the name. The art and math both rate a 7, making the image well worth the 1-1/3 minutes required to calculate it. But time is time, so remember the web sites. Save both time and energy by checking the finished images on the 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 clouds and sun added interest to the sky here at Fractal Central today. But the temperature of 50F 10C at daybreak fell to freezing by afternoon, which with a blustery wind, made the interesting sky not too enjoyable. And the low of 0F -18C forecast for tonight will make things only worse. The fractal cats passed the day wondering what kind of trouble to get into, while the fractal humans tried to keep out of trouble. The next FOTD will be posted within a reasonable time. Until next time, whenever that might be, take care, and I already see politicians trying to buy votes with promises of increased benefits for the voters if they are elected. I wonder what the difference might be between this kind of bribery and classic political corruption. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Trouble_in_theEast { ; time=0:01:20.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=MandelbrotBC3 function=ident passes=1 center-mag=+1.744506240835/+0.014698570775/2673270\ /1/-61.25/6.0885268721 params=2.001/0/4.7/0 float=y maxiter=2000 inside=0 logmap=120 periodicity=6 colors=000C0LC0MB0OA0QA0R90T91U82W73Y74Z65`66a57c4\ 8e49f3Ah3Bi2Ck2Dl5Ek8FjBGiEHhHIgKJfNKeWPecUdzr0zmb\ ucDmUEfSE_QETOEMMEFKEEIKDGUCEcBCmAEm9Gm8Im7Km4Mo0O\ y1Qo2Sf3UX6VOAWFFUJKVNPYRU`VZcZccbhbfhaem`eo_dqZdr\ T`rRYrOVrMSpJPnHMlEJjCGhGOfKW`HSVEOPBKK8GE5C828304\ 5036037A38K29U2Ac2AmHAtBGU7M34SBCYIKcPSiX_ocgujozq\ wmktacmQUcEKU2AK90AFAKMAUSAUYAPdALjmGpmCqmGqhJrcMr\ ZQsUTsPWsKZtFVuCSv9Pw6Mx3JoIRgXZ_kfSymKcEwL1vO3vQ5\ uT7uV9tYBt_DsbFsdHt_JtVLtQNtMPuHRuCTu7Vu3WjDY`NZYT\ YWYYUcYShYQnYOsYUtb_ufdvjjwnoxrZDEZCCYCBYB9XA7XA6W\ 94W82W81UA4SB6QC9PDBNEDLFGKGIIHKGINEJPDKRBLU9MW8NY\ APZCQ_ES`GTaIVbKWcMYdOZeQ`fRafTNMU91VB4VD6WF8WHAXJ\ CXLEYNHYPJZRLZTN_VP_XR_ZTb_Ve`XhaZkb`ncbqddteetgct\ hati_tjYtkWtlUtmStnQtpOtqMtrKtsIttztuztvztwzrvzquz\ ptzotznszmrzkqzjqzipzhozgnzfzH7zA8zD8zF9zH9zJAzLAz\ OBzQBzSCzUCzWCzYDzWEzUFzS } 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=========================================

1 0

FOTD 05-01-14 (Herringbone Filters [A-6,M-6])
by Jim Muth 06 Jan '14

06 Jan '14

FOTD -- January 05, 2014 (Rating A-6,M-6) Fractal visionaries and enthusiasts: Today's image is found in the everyday parent fractal that results when the formula Z^(2.001)+C is iterated 4.7 levels up the hyperladder with no function applied. This parent is a near-Mandelbrot set rotated 180 degrees so that East Valley falls on the negative X-axis, and the main spike, where even more action is happening, lies on the positive X-axis. Today we focus our attention on East Valley, which instead of coming to a sharp point, has been broadened into a wedge infested with sickle-shaped debris. Today's scene lies in this debris. The coloring is rather chaotic, and both the art and math tricks have been seen before, which holds the ratings of both of them to a routine 6. The name "Herringbone Filters" has nothing to do with the field of TV repair. It came to mind when something in the scene reminded me of herringbones. Most of the coloring effect was produced by rendering the scene with the outside set to 'tdis'. Other options produce different effects, some of which have potential. The calculation time of a dragging 11-1/2 minutes will pass slowly even for the most devout fractal fans. But relief is always at hand on the web sites. To view the image without calculating it, 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> The morning was sunny here at Fractal Central today. But clouds moved in by noon and by mid-afternoon freezing rain was falling, with a temperature of 28F -2C. The fractal cats were too busy chasing each other up and down the hallway and tussling to worry themselves with the weather. The fractal humans were simply glad there was no reason to go out. The next FOTD will be posted in a matter of minutes, which will also be a matter of seconds, hours, weeks, months or years, depending on how time is measured. To find the exact numbers, check back at regular intervals. Until whenever, take care, and a local eight-year-old boy was recently asked what was the best thing that happened to him in 2013. He replied it was when he got his mini I-pad for Christmas. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= HerringboneFilters { ; time=0:11:30.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=MandelbrotBC3 function=ident passes=t center-mag=-0.2521599928326848/-0.0019727729038808\ /2.614896e+009/1/-40/0 params=2.001/0/4.7/0 float=y maxiter=8600 inside=0 outside=tdis periodicity=6 colors=000sfqsivb`pMTj5Le7Oa9RYBUUDWQFZMHaIIcFDfM9\ iS3ubFlgRdkbWpnOtiKndHi`EdWA_S7VN4QJ1LN8OQFQTMSWTU\ __XbfZem`hsbkocmlcoidqfdscdu`ewYeyVehWlSXrCYxLSoTM\ faGYcAP88HUAJ10K02D03MD0NB6O94PA0M54J0AG0AD52A0AC0\ 5E25G55I5Th64eCFaHQYN`VckRmuOrq_lccckcUieKffAdhqvz\ ipjakaUfTM`KEMB7R28W39U3Ad3Ah3Bl4zz4Du4Dy4Lx9TwEzw\ JgvOhtQyzzjpUknWllYmj_zhaogbjhceid`jeWjfRkgMlhHmiD\ miIfiM`iQUiUOiYHiaBie5izAjzEkXJlUNmRSnOWoKdYHwbDgh\ Awm6es3cx9xtFeqLxnRxjXxgbmdhm`nmYtmVymSwmWvsZuqaso\ drlhqjkohnnfqmdtkeqiengfkffihdhicgjbfkaem`dnZcoYbp\ XarW`sV_tTZuSYwRXxQWyPVzOUwQRuROrTLpUInVFkXCiY9`lG\ `lG_lG_lGZlFZlFYlFYlFYmFXmEXmEWmEWmEVmDVmDUmDUmDTm\ DTmCSmCSmCRmCRmCQmBQmBPmBPmBPmBQlCQlCRlCRlDRkDSkDS\ kDTkETkETjEUjEUjFUjFVjFViFWiGWiGWiGXhGXhHXhHYhHYhH\ ZgIZgIZgI_gI_gJ_fJ`fJ`fJafKafKaeKbeLbeLceLcdLcdMdd\ MddMddMecNecNfcNfcNfcOgbO } 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=========================================

1 0

CheckItOut
by JackOfTradeZ＠comcast.net 05 Jan '14

05 Jan '14

. http://apod.nasa.gov/apod/ap131230.html .

4 5

FOTD 03-01-14 (Difficult Territory [A-6,M-4])
by Jim Muth 03 Jan '14

03 Jan '14

FOTD -- January 03, 2014 (Rating A-6,M-4) Fractal visionaries and enthusiasts: Today's image is a quick trip to the main spike of a Mandelbrot set corrupted in its depths by Z^(11)+C energies. The scene is located on the west side of a half morphed minibrot lying just beyond the limit of the main series of Mandelbrot buds. Due to the unusually large iteration count of the elements, this is a rather difficult area to investigate, which inspired the name "Difficult Territory". The art rates a 6. Such images are easily found in the classic M-set, and only the coloring raises today's image a little above average. The math fully rates its lowly 4. The image takes 3-1/2 minutes to calculate. The individual viewer must decide if such an average image is worth the time. Those who decide the image is not worth the effort may view it sooner on the web sites. But how will they know if it is worth the effort unless they have already seen it. The completed image is posted 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> Bright cloudless weather prevailed here at Fractal Central today. But with 7.5 inches 19cm of snow on the ground and a temperature that began at +3F -16C and rose to a high of only 14F -10C, along with a biting north wind, it was hardly a day to be out enjoying the sunshine. The fractal cats felt the chill early and avoided the draftiest windows. One fractal human (me) spent an hour clearing the sidewalk, while the other human (FL) supplied the hot coffee. The next FOTD will be posted before long. Until whenever, take care, and be fortunate. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= DifficultTerritory { ; time=0:03:30.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=FinDivBrot-2 function=recip passes=1 center-mag=-1.401945986326833/+0.00000000226729686\ /6.572439e+009/1/-90/0 params=11/1e+024/0/0 float=y maxiter=2250 inside=0 logmap=-390 periodicity=6 colors=000AKzAKzAKzAKzAKzAKyAJyAIyAHxAGxAGxAFwAEwA\ EwADvACvACvABuAAuAAuA9tA8tA8tB7sC6sD7sC6qC6pC6nC6m\ C6kC6jC6hC6gC6eC6dC6bC6aC6_C6ZC6XC6WC6UC6TC6RC6QC6\ OC6NC6LC6KC6IB5GC6HD7HD8HE9HF9HFAHGBHGCHHDHIDIIEIJ\ FIJGIKGILHILIIMJIMKINKJOLJOMJPNJPOJQOJRPJRQJSRJQQK\ SRJTSJVTJWUJYVJZVJ`WJaXIcYIdZIfZIg_Ii`IjaIlbHmczmc\ zmdzmezmfzmgzmfzmgzmmzmmzmmzmmzmmzmmzmmzmmzmmzmmzm\ zzmzzmzzmzzmzzmzzmzmmzmmzmmzmmzmmzmmzmmzmmzzmzzmzz\ mzzmzzmzzmzzmzzmzzmzzmzzmzzmzzmzzmzzmzzozVpzWpzXpz\ XpzYpzZpz_pz_pz`rzarzbrzbrzcrzdrzerzezm`zm`zl_zl_z\ l_zlZzlZzlZzlYzlYzlYzkXzkXzkXzkWzkWzkVzkVzkVzkUzjU\ zjUzjTzjTzjTzjSzjSzjSzjRzjRziRziQziQziQziPziPziOzi\ OziOzhNzhNzhNzhMzhMzhMzhLzhLzhLzgKzgKzgKzgJzgJzgJz\ gIzgIzgHzgHzfHzfGzfGzfGzfFzfFzfFzfEzfEzeEzeDzeDzeD\ zeCzeCzeCzeBzeBzdAzdAzeBzeCzeCzeDzeDzeEzeFzeFzeGze\ GzeHzeHzeIzeJzfJzfKzfKzfL } frm:FinDivBrot-2 { ; Jim Muth z=(0,0), c=pixel, a=-(real(p1)-2), esc=(real(p2)+16), b=imag(p1): z=(b)*(z*z*fn1(z^(a)+b))+c |z| < esc } END PARAMETER FILE=========================================

1 0

FOTD 02-01-14 (The Midnight Blues [A-7,M-5])
by Jim Muth 02 Jan '14

02 Jan '14

FOTD -- January 02, 2014 (Rating A-7,M-5) Fractal visionaries and enthusiasts: Today's scene lies in the fractal solar-system that results when the formula Z^(2.5)+C is iterated 18 levels up the hyperladder with no function applied to the calculation. I call this parent fractal a solar-system because it consists of a scattering of minor fractals surrounding a large central fractal. Today's scene is located deep in a valley in a large minor fractal just southeast of the main fractal. The name "The Midnight Blues" does not refer to a state of depression. It is the first thing that popped into my mind when I emptied it of all other thought, which some say is my usual mental state. The art rating of 7 indicates that I see some worth in the image. The math rating of a 5 shows that the math trick has produced many fractals in the past, some of which are notably better than today's. The calculation time of 5-3/4 minutes might be slow enough to give boredom and the resulting blues a chance to arise. Here is where the web sites can be a real 'upper'. Beat the blues by checking the finished image 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 cloudy here at Fractal Central. Snow began at 1pm, with up to 8 inches expected by midnight. The temperature reached a high of 30F -1C at noon, but fell steadily through the afternoon to a forecast low tonight of 0F -18C. The fractal cats, who prefer snug warm comfort, watched the flakes for a few minutes before snuggling up in their warm blankets. The humans also enjoy comfort, but they know that the world is fickle and often unfair, and personal desires are not always fulfilled on request. The wishes for more fractals will be granted however. In fact, the next one will be posted in about 24 hours at this same spot. Until then, take care, and God is sometimes fickle in fulfilling worthy requests, but the FOTD has fulfilled the desire for free fractals for almost 17 years. (Does this make me more generous than God, or merely a hypocritical boaster who will some day face the divine wrath?) Jim (whatever) Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= The_Midnight_Blues { ; time=0:05:45.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=MandelbrotBC3 function=ident passes=1 center-mag=+1.195684835622485/-0.1591907650565708/\ 2.532651e+012/1/97.5/0 params=2.5/0/18/0 float=y maxiter=3600 inside=0 logmap=694 symmetry=none periodicity=6 mathtolerance=0.05/1 colors=00001233424815B26E28H2AL3CO3ER4GU4IX4KY5MZ5\ O_6Q`GSbGUcHWdHYeH_gIahIciJdjJfkJhmKjnKloLnpLprLrs\ MttMvuJwvKsrKomKmmJjmIgmHbnGdnHfoIhoIjpJlpKnqLpqMr\ rMtrKmnIgjHafFWbDP_CJWADS87O71LC3PG4TL5XP7`T8dY9ha\ BlfCpjDtnExmIqmMkmPemT_lXTl_NlcHlfBfdE`cGVaIQ`KKZM\ EYO9XQDUMGSIJQFMNBQXlVaj`fiekgkpfpuduzcaakIDrR5rqw\ 5rt6rq7rn7rk8si9sg9seAscAtaBr_CrYCqWDnUDlSEjPFeKF`\ FGWAHR5HM0IH0JC0J70K20K50P80UA9ZD8cF8hDDiBIiAMj8Rj\ 6Wk5_kDOrYubWu_UvXSwUQwROxOMyLLyIKsKKmMJhOJbQIXSIS\ UHMWHHYHXtFUsDQsAMs8Jr6Fr4CrAIpFNoLSmKCyRHxXLwbPvh\ UunYttasm_qfZp_Yn0F90CB0ADDMHPYK`hNV`PQTRLLTGDV8HJ\ JKBIF4RAF_KQc`cqkkzpuymmyjeyhYxeQxbIx`BpZEiXGdaD`e\ BXh9Tc7SeERYKQPQcUXmUbmUhZeaS`ZcWWcRTcNQcPPcRPcTPc\ VPcXOcZOc`OcaOZfJSjEMnABrQ1udKvQ2wBXxfgyqeznczkazh\ _zeBzWLzaVzfdzlmzqozsqzuszwzzyzzzzzrzzjzzbzzVzzNzz\ Fzz8zzIzzSzz`zzjzzszzKzzt } 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=========================================

1 0

FOTD 01-01-14 (Simplest Things [A-7,M-4])
by Jim Muth 01 Jan '14

01 Jan '14

FOTD -- January 01, 2014 (Rating A-7,M-4) Fractal visionaries and enthusiasts: Today's image is named "Simplest Things". The name came about when I saw a teen-aged boy texting a message to his friend, who lives only one block away. It took almost 15 minutes to complete the communication. I wondered why the boy didn't take a minute to walk one block, meet his friend and give him the message in person. Sometimes the simplest things can be the most enjoyable. And fractals don't come much simpler than the Julia set of Seahorse Valley of the (-Z)^(-2.5)+C Mandeloid. The formula that produced the image, the JuliaMiN, is an ancient one by FOTD standards, and there are more complex formulas that could do the same thing plus far more, but the old formula still produces some interesting scenes, such as the one in today's image. The exponent of (-Z) in today's Julia set is actually 2.5, though the set in the image resembles a straight cubic fractal more than a fractional one. After much pondering I rated the artistic aspect of the image at a 7. But the math interest is so outdated that I could rate it no higher than a near-failing 4. The calculation time of 2-1/2 minutes will be no problem for the true fractal fans who do their own calculation. The others may find happiness by checking the web sites. To start the new year on happy street, check the finished image 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 first day of the new year brought lots of clouds to Fractal Central and a temperature that hung around freezing. The fractal cats had too much fun playing with each other to worry themselves with the weather. The humans, who are almost as fractal as the cats, had a slow day, which is the way we like it. The next FOTD image will be posted most likely on the second day of this year. Until that moment of glory arrives, take care, and what absolutely necessary technological wonders will break upon the scene this year? The Shadow knows, but where is he now that we need him to tell us? Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Simplest_Things { ; time=0:02:30.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=JuliaMiN passes=1 center-mag=-0.05/0/1 params=2.5/0/0/0/-0.7606/0.018 float=y maxiter=7200 outside=tdis inside=255 logmap=yes periodicity=6 symmetry=none colors=000JoyJoxJowIovKnxImtIlsIkrHjqHipHhoHgnGfmG\ elGekGdjFcjFciFbhFbgEagE`fE`eE_dDZdDZcDYbDXaCXaCW`\ CV_CVZBUZBTYBTXBSWARWARVAQUAQT9PT9OS9OR9NQ8MQ8MP8L\ O8KN7KN7JM7IL7IK6HK6GJ6GI6FH5EH5EG5DF5DE4CE4BD4BC4\ AB34B34A339328228030030B3AE2GA7JB7LG7KF6JF6IE6ID5H\ D5GC5Fmzcmzcmzcmzcmzcmzcmzcmzcmzcmzcmzcmzclzckzcjz\ cizchwcgucfscercdqcdpccobbnabnaam`al``k__jZ_jZZiYY\ hYYgXXfWXfWWeVVdVVcUUbTTaTTaSS`SS_RRZQQYQQYPPXOOWO\ OVNNUNNUMMTLLSLLRKKQKJPJJPIIOIINHHMHGLGGLFFKFEJEEI\ EDHDDHCCGCBFBBEAADAAC9CC9EB8GA7I97G86E86C75A64IC5Q\ KAYSFe_KmgPnoUopZoqcnqcmpbloaknajm`il_hk_hjZgiYfhY\ egXdgWcfWbeVbdUacU`bT_aSZ`SY_RXZQWYPWXPVXOUWNTVNSU\ MRTLQSLQRKPQJOPJNOIMNHLMHKMGJLFJMFINFHOGGPHFQIERJD\ SKDTLCUMBVNAWO9XP8YQ7ZR6_S6`T5aU4bV3cW2dX1eY3fZ6gX\ 5hV5iT5jR4kQ4lO4mN4nL3oK3pI3qH7rKAsPFtUKuZPvcUwhZx\ mcyrhzvmzzrzzvzzzzzzzzzzz } frm:JuliaMiN {; Jim Muth b=p1, z=pixel+p2, c=p3: z=(-z)^(b)+c, |z| <= 16 } END PARAMETER FILE=========================================

1 0

Happy New Year
by Albrechtx 01 Jan '14

01 Jan '14

HI, this is the last message from me for this year and for some time next year, as I´m going for a trip into the sun. ; As Hal did not post the promised analysis I have to do without, the latest edition of MFR12 is in the link. There are 4 images all very special: ; 13657-5 consists of 2 images one on top of the other, but NOT an overlay. ; 13657-8 is another zoom into the same image that also uses the advanced coloring methods of the new plugin. ; 56814-4 is a zoom into "The shrine", an older image but with compressed colors ; 80084-1 uses the warp effect on magnet and manowar as inside 2 and 3. This effect can produce completely new structures of a huge variety. If you look at the elements of that image you´ll see that there is no analogy only some resemblance, not two elements are exactly the same. Also the structure cannot be exactly identified, it is similar to a spiral but is none. Additionally the coloring is unique. ; Like always the images are original Fractint and can be copied directly. Multifractal_12 is different plugin and does NOT replace Multifractal_10. Due to the stripping of unneeded digits after the dot many images (not all) generate differently, but other advantages make up for that. Also the Lake-Effect is not available anymore. ; https://www.dropbox.com/sh/8ze5mwy9er8gv4x/KqXX9Ge1u_ ; Albrecht

2 1

FOTD 31-12-13 (Pentagon Paradise [A-6,M-8])
by Jim Muth 31 Dec '13

31 Dec '13

FOTD -- December 31, 2013 (Rating A-6,M-8) Fractal visionaries and enthusiasts: Strange rectangles appear in the Julia sets of the Z^(2.003)+C Mandeloid corresponding to the area on the X-axis just east of the large, split apart minibrot. Not surprisingly, rectangles are also found around the Mandel minibrots in this area. But totally surprisingly, when the Julia sets of these Mandelbrot rectangles are checked, they turn out to be not rectangles, but concave octagons. And even more surprisingly, when the julia sets of the edges of these Mandelbrot rectangles are checked, we find not rectangles, nor octagons, but pentagons, two of which appear in today's image. I named the image "Pentagon Paradise" because of the two pentagons sitting blissfully at the center of the scene, enjoying the inevitable boredom of their eternal rest. The art aspect of the scene is worth only a 6. We have seen similar scenes many times before. The math aspect however rates a quite honorable 8, at least for those who are into fractal math. The image calculates in an average 2 minutes. This is fast enough to prevent impatience yet slow enough for a bit of anticipation to build. The web sites will avoid all anxiety. The happiness usually found only in paradise may be enjoyed by viewing the finished image 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 here at Fractal Central began with heavy clouds and light snow. After leaving a dusting on the sidewalk, the snow moved out, and by afternoon the sun appeared. The high temperature of freezing was right on the mark. The fractal cats watched the snowflakes fall for an hour or so, then began playing with each other until Nico grew tired and retired under a chair cover. Jasmine soon retired to the chair in her room. The humans, who are doing absolutely nothing special this year, had little trouble preparing for the new year's arrival. The next FOTD will be posted next year. Until then, take care, and what will the good people do when they grow bored with the eternal peace of heaven and want a little action? Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Pentagon_Paradise { ; time=0:02:00.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=SliceJulibrot4 passes=1 center-mag=0/0\ /40000/1/-177.5/0 params=90/0/90/0/-1.743377131101\ 082/7.467157179206152e-007/0/0/2.003/0 float=y maxiter=750 inside=0 logmap=289 periodicity=6 colors=000TPNIRNcV`aUZ_TWZSUXRSVQPTPNROLPNINMGMMEK\ NGIOHGPIEQKCRLASM8TN6UP4VQ2WR0XS0WQ0VO0VM0UK0UJ5_H\ 9eGDkEHpDFdGDTJBHMA6OA9RABUADXAF_AHbAJeALhANkAPnAR\ qATs9Sq8So8Rn7Ql6Pk6Pi5Oh5Of4Nd3Mc3Ma2L`1KZ1KY0JW0\ JV3LQ6NM9PHBRDCUFDWHEZJF`KGcMHeOIgQJjRKlTLoVMqXMsY\ NtXOuWPuVQvURvTSwSTwRUxQVxPWyOXyNYzMZzMcuOgpQlkSpg\ UqiXrk_rmasodsqftsitukuwnuyprzAfwKVuTJsa8qj6coBckG\ cgLccQh`RhbRmcRmdRmeRmfQhbRhhRhiRcjRckXc8hzzhzzhzz\ hzzhzzhzzhzzhzzhzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzQzmRzmRzlRzlF\ zvIztKzrNzpPznBzGDzJEzMGzPHzSJzVKzYMz`NzcPzfQzioz_\ kzahzcezdbzf_zhXziUzk`zO_zQZzRZzSYzUYzVXzWXzYWzZWz\ _VzaVzbUzcUzeTzfTzgSziSzjRzkJzsMzpPznzzptzonznhznb\ zmXzlozlmzllzlkzljzlizlgzlfzlezldzlczlazl`zl_zlZzl\ YzlWzlVzlUzlTzlSzl`zF_zHZzJZzLYzNYzOXzQXzSWzUWzWVz\ XVzZUz`UzbTzdTzeSzgSziRzk } 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 30-12-13 (Ring Around the Quintic [A-7,M-5])
by Jim Muth 30 Dec '13

30 Dec '13

FOTD -- December 30, 2013 (Rating A-7,M-5) Fractal visionaries and enthusiasts: Today's quickie image lies in a bit of left-over debris inside the third bud out the main stem of the corrupted Mandelbrot set that is its parent. This parent M-set is corrupted in its depths by Z^5 energies, and today's image, at an extreme magnitude of over 5*10^(12), lies well within the range of total changeover to the quintic world. The name "Ring Around the Quintic" refers to the quintic minibrot at the center and the spectacular ring of chaos surrounding it. I leave it to the individual viewer to decide whether this ring justifies the description of spectacular. The calculation time of 30 seconds is fast by any standards however, probably faster than viewing the finished image on the FOTD web sites. But by viewing the image on the web sites, the annoying chore of calculation may be avoided. The finished image is conveniently posted 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> Today here at Fractal Central passed with cloudy skies and a temperature of 34F +1C, with forecasts of much colder and snowier conditions to come. The fractal cats had a quiet day except when 4.5 pound (2kg) Jasmine jumped on 15 pound (7kg) Nico by surprise and bowled him over before he knew what had happened. He then quickly subdued her, letting her know who is still top cat. The humans meanwhile spent the day preparing for another year. The next FOTD will be posted before the year ends, or maybe not. Until whenever, take care, and now, at the end of 2013, I hear people are looking forward to a better year in 2014. A year ago, at the end of 2012, they were looking forward to a better year in 2013. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= RingAround_Quintic { ; time=0:00:30.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=FinDivBrot-2 function=recip maxiter=500 center-mag=-1.393749133748971/+0.00000000092663014\ /5.599301e+012/1/2.5/0 params=5/-10000/0/0 float=y inside=0 logmap=42 periodicity=6 mathtolerance=/1 colors=00000H01I02J03K04L05M16N27O38Q49S5AU6BW7CY8\ D_9EaAFZAG_AH`AIaAJaAKbALbAMcANcAOdAPdAQdAReASfATg\ AUg9VhzzzutzmrzcpzZizWezSbvParM`mJ_hG_cDZZAYU7XQ4W\ M1WM2VLUULUUKUTKUTKcSJcSJcRIcRIcQImPHmPHmOGmOGmNGz\ NFzMFzMEzLEzLEzKDzKDzKCzKCzKBzJBzJAzJAzJ9zJ9zJ9zKz\ zKzzKzzKzzKzzKzzKzzKzzUzzUzzUzzUzzUzzUzzUzzUzzczzc\ zzczzczzczzczzczzczzczzczzczzczzczzczzczzmzzdzzmzz\ mzzmzzmzzmzzmzzmzzmzzmzzmzzmzzmzzmzzmzzmzzmzpmzpmz\ pmzpmzpmzpmzpmzmmzmmzmmzmmzmmzmmzmmzmmzzzzmzzmzzmz\ zmzzmzzmzzmzzmzzmzzmzzmzzmzzmzzmzzmzzzmnzmlzmjzmhz\ mfzpczrazu_zxYzzWzzVzzUzzUzzTzzTzzSzzSzzRzzQzzQzzP\ zzPzzOzzOzzNzzNzzMzzLzzKzzJzzIzzHzzGzzFzzEzzDzzCzz\ BzzAzz9zz8zz7zz6zz5zz5zzKzzYzzklzlmzmnzmoznpznqzoq\ zorzpszptzquzqvzrvzruzptznszmszkrziqzhqzfpzdozcnza\ nz_mzZlzXlzVkzUjzSizQizPhzNgzLgzKkzEoz8kzAhzBdzDaz\ EYzGVzHRzJOzKKzMHzNDzPAzQ } frm:FinDivBrot-2 { ; Jim Muth z=(0,0), c=pixel, a=-(real(p1)-2), esc=(real(p2)+16), b=imag(p1): z=(b)*(z*z*fn1(z^(a)+b))+c |z| < esc } END PARAMETER FILE=========================================

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FOTD 29-12-13 (B-E-M [A-5,M-5])
by Jim Muth 29 Dec '13

29 Dec '13

FOTD -- December 29, 2013 (Rating A-5,M-5) Fractal visionaries and enthusiasts: Today's image came about when I applied a very small (0.00001 degree) but complex 4-way rotation to the previous FOTD image, which was posted December 27. The slightly different angle changes the previous nice symmetrical image into a B.E.M. or Bug-Eyed Monster of the kind that once populated the pages of the pulp sci-fi magazines. It's not a very frightening monster however, and the math trick that created it is quite old, so I could rate the art and math aspects of the scene no higher than an everyday 5. But even a 5 is worth a quick check, and the image calculates in a reasonably fast 2 minutes, so why not boot up Fractint and see the monster. It might be good for a laugh. Relief for those who would rather not calculate may be found on the FOTD web sites, where the image has been calculated and posted for maximum convenience. The web sites may be accessed 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 weather here at Fractal Central today left a lot to be desired. The steady cold rain that fell all day put a total damper on any outside plans, while the temperature of 39F +4C kept all thoughts of snow at bay. The fractal cats had a slow day also. Jasmine wanted to play, but Nico was in a bad mood and shouted her off when she tried to start a tussle. The human mood was only a little better. The next FOTD will be posted in a day or maybe two. The only way to be sure when is to keep checking back. Until whenever the fractal spirit strikes, take care, and now that science (whatever it might be) is proving scientifically that science is based on a grand illusion, where does this leave us when we want to know what to consider reality? Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= B-E-M { ; time=0:02:00.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=SliceJulibrot4 center-mag=-0.00295243/\ -0.00295243/10/1/45/0 params=89.99999/89.99999/\ 89.99999/89.99999/-1.22275/0/0/0/4.003/0 float=y passes=1 maxiter=600 inside=0 periodicity=0 colors=000AHHAGHAGH9GH9FG9FG8EG8EGynIxmHwmHwlHvlHv\ lHukHzYG7BK8C`7Ha9Ka9NdAQcATgBWkBZoCasCbuCcwFeuHfs\ JgqLhpNinPjlUzzmzzzzzzzWzmRzcPzUOz_ZmHMcKLZUKPcJZm\ HcwGZmFUcEPUDNKCDKAKKBRRCYYDccEjjFqqGwwGrrFmmEihDd\ cD_ZCWUBRPANLALGXKCsNGrQKqTOpWRoYVo`Zncamfeliikklk\ ijjghiefiddhbch`ag__fYYfWWeVVeU`cUebTjaTo`RkaQhaOe\ bNbbLZbKWcITcHQcFNdEJdCGdBDe9Ae87eXE`tLWuI`uGduEhu\ CmuAqu8unJshTrbcpXmoVfkU_gSTcRM_SEUQFXOFZNF`LGbKGd\ IGgHGiFHkEHmCHoBHr9It8Iv6Ix5Iz9GyDFyHEyLCxPBxTAxX9\ x`7wd6wh5wl3vp2vt1vw0vlPXbl8`gD_bHYYLXTPVOUUJYSEaR\ AeVCgYDhaEjdGkgHmkInnKprLquMsxNtsTonYkibgdgc_l_Zk_\ ZkZZkZYjZYjZYiYXiYXhYXhYWhXWgXWgXVfXVfXVfWUeWUeWUd\ WUdVTdVTcVTcVScVSbUSbURaURaUR`TQ`TQ`TQ_TP_SPZSPZSO\ ZSOYROYRNXRNXRNWQMWQMWQMVQLVPLUPLUPKTPKTOKTOJSOJSO\ JROIRNIRNIQNHQNHPMHPMGOMGOMGOLFNLFNLFMLEMKELKELKDL\ KDKJDKJCJJCJJCJIBIIBIIBHI } 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 27-12-13 (Total Failure [A-7,M-6])
by Jim Muth 28 Dec '13

28 Dec '13

FOTD -- December 27, 2013 (Rating A-7,M-6) Fractal visionaries and enthusiasts: Today's image is named "Total failure". The failure was my inability to find another rectangle in the Z^(4.003)+C Julia sets like the one I found many years ago in the Z^(2.003)+C Julia sets. I started the search with high hopes, but it soon became apparent that no rectangles were to be found. What I did find were some rather interesting Julia sets, one of which appears as today's FOTD. The image was calculated with XY-axis symmetry. This symmetry is not exact but only a very close approximation. At today's magnitude however, no difference is visible. I might have stretched things a bit when I rated the art worth at a 7. But there was no problem rating the math aspect at an everyday 6. One point not in doubt is that the image is fast. On one of today's DOS-capable fireball units, if any exist, it will finish in 30 seconds of less. The finished image is posted 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> The mix of clouds and sun, with a high temperature of 37F +3C here at Fractal central today, was just about normal for the end of December in central Pennsylvania. The fractal cats passed the day tussling until Nico got too rough and Jazzy ducked under the bed. The humans, glad to have so far survived another holiday season, took things as easy as possible. The next FOTD will probably not be posted until December 29. Until whenever, take care, and the greatest sign of an epidemic of obesity is when the magazines on the checkout racks stop carrying articles about how to lose 10 pounds and start carrying articles about how to lose 185 pounds. (I actually saw this today!) Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Total_Failure { ; time=0:00:30.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=SliceJulibrot4 center-mag=0/0/10 params=90/90/90/90/-1.22275/0/0/0/4.003/0 float=y maxiter=600 inside=0 symmetry=xyaxis periodicity=0 colors=000AHHAGHAGH9GH9FG9FG8EG8EGynIxmHwmHwlHvlHv\ lHukHzYG7BK8C`7Ha9Ka9NdAQcATgBWkBZoCasCbuCcwFeuHfs\ JgqLhpNinPjlUzzmzzzzzzzWzmRzcPzUOz_ZmHMcKLZUKPcJZm\ HcwGZmFUcEPUDNKCDKAKKBRRCYYDccEjjFqqGwwGrrFmmEihDd\ cD_ZCWUBRPANLALGXKCsNGrQKqTOpWRoYVo`Zncamfeliikklk\ ijjghiefiddhbch`ag__fYYfWWeVVeU`cUebTjaTo`RkaQhaOe\ bNbbLZbKWcITcHQcFNdEJdCGdBDe9Ae87eXE`tLWuI`uGduEhu\ CmuAqu8unJshTrbcpXmoVfkU_gSTcRM_SEUQFXOFZNF`LGbKGd\ IGgHGiFHkEHmCHoBHr9It8Iv6Ix5Iz9GyDFyHEyLCxPBxTAxX9\ x`7wd6wh5wl3vp2vt1vw0vlPXbl8`gD_bHYYLXTPVOUUJYSEaR\ AeVCgYDhaEjdGkgHmkInnKprLquMsxNtsTonYkibgdgc_l_Zk_\ ZkZZkZYjZYjZYiYXiYXhYXhYWhXWgXWgXVfXVfXVfWUeWUeWUd\ WUdVTdVTcVTcVScVSbUSbURaURaUR`TQ`TQ`TQ_TP_SPZSPZSO\ ZSOYROYRNXRNXRNWQMWQMWQMVQLVPLUPLUPKTPKTOKTOJSOJSO\ JROIRNIRNIQNHQNHPMHPMGOMGOMGOLFNLFNLFMLEMKELKELKDL\ KDKJDKJCJJCJJCJIBIIBIIBHI } 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=========================================

2 1

FOTD 26-12-13 (Holiday Ribbons[A-7,M-6])
by Jim Muth 27 Dec '13

27 Dec '13

FOTD -- December 26, 2013 (Rating A-7,M-6) Fractal visionaries and enthusiasts: Today's image is a scene in the chaos on the eastern edge of the northern branch of Seahorse Valley of a Mandelbrot set that has been corrupted in its depths by Z^12 energies. At the depth of over 5*(10^11) the Z^12 energies have completely taken over. The minibrot at the center, with its 11 lobes, consists totally of exponent-12 stuff, as the series of 12 elements around the minibrot confirms. Quadratic energies still fill the scene however. The outer pattern is totally quadratic, with curled seahorse tails everywhere. The name "Holiday Ribbons" came about when I thought I saw some broken ribbons in the scene. The math rating of a 6 shows that the math aspect is all old stuff. The art rating of a 7 does not quite justify the 6-1/3 minutes required to calculate the image. But visiting the web sites will restore justice. For full justice, check the finished image 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 an inch, (2.5cm in the rest of the world), of snow falling on Fractal Central. The snow ended by 9am, leading to a cloudy day with only a few light flurries and a temperature of 34F +1C. The fractal cats, after spending Christmas evening playing with and eventually shredding the wrapping paper from the gifts, were still exhausted today, and slept most of the time, recovering their energy. The same was true of the fractal people. The next FOTD will be posted in a day or so. Until whenever, take care, and I hear so often about how we have forgotten the true meaning of Christmas, but I hear so little agreement about exactly what that true meaning might be. START PARAMETER FILE======================================= Holiday_Ribbons { ; time=0:06:20.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=FinDivBrot-2 function=recip passes=1 center-mag=-0.7476854104154255/+0.0750560595493207\ /5.171113e+011/1/107.5/0 params=12/1e+015/0/0 float=y maxiter=2500 inside=0 logmap=458 symmetry=none periodicity=6 mathtolerance=0.05/1 colors=000BrhCpgDnfEleFjdGhcIeaJc`Ka_L_ZMYYNWXP`QR\ dKThEUl8ViBWfEXdHYaKZ_N_XQ_XTRaZJbZAfZKeZUeYcdYkcX\ sbXqhcoi`miZkiWiiUgiSeiPciNaiL_iIYiGWiEYdH_`KaXNfX\ BdX2fY4gY6hY8iZ9jZBkZDl_Em_Go_Ip`Jq`Lr`NsaOtaQuaSv\ aTsaTpaSmaSjaRg`Rd`Qa`PZ`OW`NT`MQ_LN_KK_JH_IE_HB`G\ 9aG7bF7bE8cD8dC8eC8fB8gA8h98h88g89eF9bMAZTAW_BSfBP\ mCLtCIzDHxEGwFFvGEuHEtIDsJCrKBqLApMAoN9nO8mP7lP7kS\ 6iU5gW4fY3d_3ba2ac1_e0Yg0Xi2aj4ek5il7mm8qnAulByjCo\ fDfbEYYFOUIFQJ6TKAVNDXQHZTK`WNbZRdaUfeYhh`jkclngnq\ jptnrwqtztqwsnuslssiqsgosdmsbks_isXfsVdsSbsQ`sNZsL\ XsIXsGXsRVqTXo_Zmc`ldbjjdhpfgzcengcheb`a`XWZQRYKKW\ DJHFNTPVRSZPWaO_hMchKflUioclpmnqzkszjnqii_pbUta4wH\ 2z71p62g63Y64P55F56657A76E95IA5MC4QD4UF3YG3aI2eJ2i\ L1mM1qO0uP0mU8eZGYbOQgVIkbApj2tq7unBvlFwiJxgNydRzb\ Wz__zYczVczTczQczOmzRmzSmzSmzSmzTmzcmzmmzzmzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzz } frm:FinDivBrot-2 { ; Jim Muth z=(0,0), c=pixel, a=-(real(p1)-2), esc=(real(p2)+16), b=imag(p1): z=(b)*(z*z*fn1(z^(a)+b))+c |z| < esc } END PARAMETER FILE=========================================

1 0

56418 zooms
by Albrecht Niekamp 26 Dec '13

26 Dec '13

HI, ; the race is still going on.... Here is an absolute phantastic zoom into the 56418 total view outside ...and there is a minibrot too... Talking about speed: Calculation time is less then a minute! ; https://www.dropbox.com/sh/iywqw0gettwr2vb/Gti9PR9eGO ; In the folder there are also two other new zooms. ; Albrecht ; ===========================start parameter================================= 56418tt4 { ; Mmods-phoenix-manowar-secant-magnet ; Zoom into Totalview Outside ; Time 0.00.58.50 1280/1024 ; Albrecht Niekamp Dec, 2013 reset=2004 type=formula formulafile=mfr_12.frm formulaname=multifractal_12 function=sin/exp/exp/sin passes=t center-mag=+0.00153788812115759/+0.00000000000000015/1760.681/1/90/-1.23\ 373533611470521e-014 params=-0.9899594103823969/0.4572283089693899/56418.0659575/14235.491103\ 0602/152048.0404808025/384.1604894022/384.00482000595/128.1007683001/256\ .1007683001/512.1007683001 float=y maxiter=3072 inside=maxiter outside=tdis periodicity=0 rseed=-2436 colors=000000zr0zz1zzC<2>zzz<3>jqdfo_blU<3>Mb8<3>LQ8KM8KJ8<2>I88H44G00<3\ >TA5WD6ZF7aI8eLAhMBiODjQF<3>qeBriAtm9vq8xu7zz5zz4zz3<4>zj4zg4zc4<3>zS5zP\ 5zL6zI6zE6wE6tD6<6>vAIv9Kv9M<3>x7Sy7Uy6Wz6Yz5_<3>f5Ma5IW4E<2>_4H<3>P3DN2\ CK2A<3>805G0BO0G<3>g0Ul0Xq0`v0d<2>y0fz0gy0h<3>u1mt1ns1or2q<2>v2u<3>c5eZ6\ `U6X<2>F9LAAG7FO4KW0Qc<3>5Xc6Zc7`c7aa7c_7eY<3>FcgHciJbl<3>S_v<3>civflvin\ vlqvotvsww<2>zzz<3>rwzovzhsw<3>Gch8_d8Xa<3>8JP8FL8CI<4>XCAaB9fB7<3>zA0<1\ 3>SA1QA1NA1<3>D92<6>UXAW`BYcC<3>hrI<3>UnXRm_NlcJkgFfpAaz<3>PJoSFlWAi_5fc\ 0ce7_jFRoNIzb0zj0 }

2 1

Surprising Shrine2
by Albrechtx 26 Dec '13

26 Dec '13

HI, here is another xmas surprise, and what a surprise! It has a story to be told: quote: FOTD -- April 24, 2011 (No Rating) ; On Saturday I checked deeper into a recently posted image named 'The Shrine', which was created by Albrecht and is one of the most impressive fractal shrines I have ever seen. I would have rated it a 9. Not all that deep into the Shrine image I found the quadratic minibrot at the center of today's FOTD image, something I would never have expected to find. ; Actually, I had already found a quartic minibrot in one of the multifractal_10 images, so maybe I should not have been so surprised. Anyway, here is the 'image in the image' in all its fractal glory. ; Since the parent of today's FOTD image and most of its color palette are not of my own creation, I could give the image no rating. The name I finally chose, "Surprising Shrine", should surprise no one. ; The multifractal_10 formula, which is more like a fractal program than a mere formula, is too long to include in the parameter file. But it is readily available on the Fractint list. unquote Jims image has been one of my favorites ever since. Now I recreated it for MFR12. It has a new inside1,manowar and a new inside3 magnet. It still is an absolute beauty, judge yourself. More beautiful structures have been added, the zooms also are impressive but not added here. Maybe Jim will repeat, what he did 3 years ago. ; https://www.dropbox.com/s/sm6f9fzv7315ck6/56814-6.GIF ; =============================start parameter=================== Surprising_Shrine2 { ; MFR12-Recreation ; Time 0.09.37.00 12180/1024 ; Original Zoom and Colors ; Jim Muth, new colors Lee Skinner reset=2004 type=formula formulafile=mfrres~1.frm formulaname=multifractal_12 function=tan/exp/exp/sin passes=t center-mag=+0.32969507160254110/+0.00000000000000000/82537.09/1/180 params=-0.05825983458967864/0.3785210730307932/56814.06595750222/14235.4\ 911030602/152048.0404808025/384.1604894022/384.00482000595/128.100768300\ 1/256.1007683001/512.1007683001 float=y maxiter=3000 inside=maxiter logmap=7 symmetry=xaxis periodicity=0 rseed=-2436 colors=000FI8<2>40B<3>40E50F50G50H00E<2>A8TEHaIQj3Yqbe_FYI0L0<3>yrB<3>yB\ 3z00t60<3>UY0Nd0Gk0<2>ns1zz0<3>zI4z66w67<3>h3Fe2Ha1JY0L<3>t8qzAzuAv<3>ZE\ dTE`OFX<2>6IJ<3>YcMdiMknNrtOzzP<3>`_QVTQOMRIFRB8S<3>8Yk7dp6ku5rz<6>7_g7X\ d7Ub<3>9IR<10>7fA7i86k7<3>5u0<3>5c05Z05U0<3>5B0<3>UY0`b0fh0<2>zz0<9>jU1i\ R2gO2<3>`A3<16>q8Ar8As8At8Bu8Bw7Cw8Cv8Dv9E<7>xA_xBayBd<2>zCmzCmzCmzzzYXc\ <3>JhnFkqBnt7qw<15>KGaLE`MBZ<3>Q1T<4>bGZdK_gN`<3>r_f<3>ggPeiKbkF<2>Uq1Xq\ 2_q4<4>JO7 }

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Cockfight
by Albrechtx 25 Dec '13

25 Dec '13

HI, this is a final surprise for the day: Cockfight Hope you like it! ; https://www.dropbox.com/sh/yh8ilpxak4sn1x5/GJgVD9TmRO ; Albrecht ===================================start parameter========================= 64718-1 { ; Cockfight ; Time 0.01.25.63 ; phoen-manowar-newt-secant-magnet ; 1280/1024 reset=2004 type=formula formulafile=mfrres~1.frm formulaname=multifractal_12 function=sin/exp/exp/sin passes=t center-mag=2.63236/-1.24841/0.004181054/1/90/3.88578058618804789e-016 params=-0.05825983458967864/0.3785210730307932/64718.64595777025/14235.4\ 911030602/152048.0404808035/384.1604894022/384.00482000595/256.100768300\ 1/512.1007683001/768.1007683001 float=y maxiter=3071 inside=maxiter periodicity=0 rseed=-2436 colors=000120<5>010010000010<2>000JA4<7>fcOigRljT<3>yzc<9>TOFQKDNGA<3>90\ 0<9>e0Ch0Dk0F<3>y0K<6>Y0EU0DQ0C<3>908004000<26>000<4>000204<4>I0NM0QP0UT\ 0YW0a<3>h0pl0so0w<4>Z0dW0aT0Y<2>J0NG0JF0ND1R<3>6UX5`Z3h_1oa0wc<8>1`M1ZK1\ WI<3>2MA3J73G53D3<17>jkalmcooe<3>ywm<3>lhZidVeaS<3>UMCQI8NE4JA0000<43>00\ 0<4>000230<4>120 }

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Here are two more zooms into Albrecht's 56418 fractal:
by Hal Lane 25 Dec '13

25 Dec '13

Here are two more zooms into Albrecht's 56418 fractal -- continuing my previously posted sequence: Here's a 1200 x 900 anti-aliased version: http://www.emarketingiseasy.com/Albrecht/MFR12/56418H6.jpg and its original 4k x 3k .GIF (5 MB!) version used to create the anti-aliased image: http://www.emarketingiseasy.com/Albrecht/MFR12/56418H6.GIF and this one is perhaps a little "too busy", because I included too many features in the image -- or maybe the fractal is getting "richer" or "more dense" in features per unit area as the magnification goes up... http://www.emarketingiseasy.com/Albrecht/MFR12/56418H7.jpg Be sure to view the anti-aliased (.jpg) images at full size to get the full benefit of the anti-aliasing... - Hal Lane ######################## # hallane(a)earthlink.net ######################## --- This email is free from viruses and malware because avast! Antivirus protection is active. http://www.avast.com

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56418 zooms
by Albrechtx 25 Dec '13

25 Dec '13

HI, to finalize this series of zooms look again in the folder. I thought 56418-8 was maximum but i completed 4 or 5 more total zooms, all very different. The folder even contains the total view which is generated by 3 total outzooms, could be needed for own zooming or animation. ; Hal, pleaase try to find out the magnification factor for 56418-18 which definetly is the maximum. Thanks ; https://www.dropbox.com/sh/iywqw0gettwr2vb/Gti9PR9eGO ;; Albrecht

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I took Albrecht's advice and did zooms into his 56418 fractal.
by Hal Lane 25 Dec '13

25 Dec '13

I took Albrecht's advice: "Uncountable zooms with always new structures up to maximum zoom..." and did zooms into his 56418 fractal ("...features 5 frms mmods-phoenix-manowar-secant-magnet.") Here are some of the results. Each image in my sequence is contained (somewhere) in the previous image, so if you (perhaps) keep them in separate tabs and look a bit, you can see the zoom-in progression. The largest magnification is only around 55,000 and loss of precision usually doesn't appear visually until 10^11 or so -- so there is headroom for a bit more zooming... ;-) This fractal has a richness to it -- as you zoom in, very different (and very interesting) things keep appearing! I just discovered Albrecht's 6 great zooms that he posted, and it looks like only one of my zooms appears somewhat similar to one of his. His zoom: http://www.emarketingiseasy.com/Albrecht/MFR12/56418-5.GIF and my similar one: http://www.emarketingiseasy.com/Albrecht/MFR12/56418H1.jpg For reference, here's Albrecht's original image: http://tinyurl.com/2013-12-24-56418 or: http://www.emarketingiseasy.com/Albrecht/MFR12/2013-12-24_56418.GIF And my anti-aliased zooms: http://www.emarketingiseasy.com/Albrecht/MFR12/56418H1.jpg http://www.emarketingiseasy.com/Albrecht/MFR12/56418H2.jpg http://www.emarketingiseasy.com/Albrecht/MFR12/56418H3.jpg http://www.emarketingiseasy.com/Albrecht/MFR12/56418H4.jpg Do you see anywhere in this image that might possibly be interesting if zoomed into?: ;-) http://www.emarketingiseasy.com/Albrecht/MFR12/56418H5.jpg And for completeness, here's the color map he used: http://www.emarketingiseasy.com/Albrecht/MFR12/56418colorMap.jpg - Hal Lane ######################## # hallane(a)earthlink.net ######################## --- This email is free from viruses and malware because avast! Antivirus protection is active. http://www.avast.com

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56418 Zooms
by Albrechtx 25 Dec '13

25 Dec '13

HI, here are not less then 6 Zooms into yesterday´s image 56418. ; Jack, this is a really hot tip for you! Uncountable zooms with always new structures up to maximum zoom, reasonably fast, easy to handle and good colors. ; There has been an important improvemnt to the software which however does not affect the images: I truncated all commands and variables deleting not needed digits after the dot, so only the neccessary digits remain, that improves speed and presision. I´m on thin ice, but I think 1 or 2 additional maximum zooms are possible. If no more problems occur, this version should be the final one. For the last time I also include the pars, Please tell me if you still have difficulties downloading using the dropbox links. ; https://www.dropbox.com/sh/iywqw0gettwr2vb/Gti9PR9eGO ; Cheers, Albrecht ; =========================start par======================================= 56418-8 { ; Mmods-phoenix-manowar-secant-magnet ; Maximum Zoom ; Time 0.29.15.48 1280/1024 ; Albrecht Niekamp Dec, 2013 reset=2004 type=formula formulafile=mfr_12.frm formulaname=multifractal_12 function=sin/exp/exp/sin passes=t center-mag=+0.30008789514750520/+0.00111272971491678/8410325/1/119.99999\ 9986869341/1.44456344733367992e-008 params=-0.9899594103823969/0.4572283089693899/56418.06595750001/54235.49\ 110306019/152048.0404808025/384.1604894022/384.00482000595/128.100768300\ 1/256.1007683001/512.1007683001 float=y maxiter=3072 inside=maxiter outside=tdis periodicity=0 rseed=-2436 colors=000b0F<4>J0AE09A08004000<26>000<4>000<7>Q0UU0YX0a_0dc0hf0l<2>p0w<\ 4>_0dX0aU0Y<2>K0NH0JG0NE1R<3>7UX6`Z4h_2oa0wc<10>2WI2TG2RE<3>4G54D36F5<16\ >kkammcpoe<3>zwm<3>mhZjdVfaS<3>VMCRI8OE4KA0000<43>000<4>000330<6>2202202\ 20<3>110000110<2>000KA4<7>gcOjgRmjT<3>zzc<9>UOFRKDOGA<3>A00<9>f0Ci0Dl0F<\ 3>z0K<4>f0G } 56418-4 { ; Mmods-phoenix-manowar-secant-magnet ; Very Deep Zoom ; Time 0.06.49.92 1280/1024 ; Not pretty but a perfect zooming source reset=2004 type=formula formulafile=mfr_12.frm formulaname=multifractal_12 function=sin/exp/exp/sin passes=t center-mag=+0.30007817844554720/+0.00111125485924938/88241.12/1/90/3.885\ 78058618804789e-016 params=-0.9899594103823969/0.4572283089693899/56418.06595750001/54235.49\ 110306019/152048.0404808025/384.1604894022/384.00482000595/128.100768300\ 1/256.1007683001/512.1007683001 float=y maxiter=3072 inside=maxiter outside=tdis periodicity=0 rseed=-2436 colors=000<14>000000000<3>000330<6>220220220<3>110000110<2>000KA4<7>gcOj\ gRmjT<3>zzc<9>UOFRKDOGA<3>A00<9>f0Ci0Dl0F<3>z0K<6>Z0EV0DR0C<3>A08004000<\ 26>000<4>000<7>Q0UU0YX0a_0dc0hf0l<2>p0w<4>_0dX0aU0Y<2>K0NH0JG0NE1R<3>7UX\ 6`Z4h_2oa0wc<10>2WI2TG2RE<3>4G54D36F5<16>kkammcpoe<3>zwm<3>mhZjdVfaS<3>V\ MCRI8OE4KA0000<27>000 } 56418-5 { ; Mmods-phoenix-manowar-secant-magnet ; The Pyramid ; Time 0.02.50.27 1280/1024 ; reset=2004 type=formula formulafile=mfr_12.frm formulaname=multifractal_12 function=sin/exp/exp/sin passes=t center-mag=0.770021/0.00369188/14.11858/1/90/-1.23373533611470521e-014 params=-0.9899594103823969/0.4572283089693899/56418.0659575/14235.491103\ 0602/152048.0404808025/384.1604894022/384.00482000595/128.1007683001/256\ .1007683001/512.1007683001 float=y maxiter=3072 inside=maxiter outside=tdis periodicity=0 rseed=-2436 colors=000M_8<3>KM8KJ8JF8JC8I88H44G00<3>TA5WD6ZF7aI8eLAhMBiODjQF<3>qeBri\ Atm9vq8xu7zz5zz4zz3<4>zj4zg4zc4<3>zS5zP5zL6zI6zE6wE6tD6<6>vAIv9Kv9M<3>x7\ Sy7Uy6Wz6Yz5_<3>f5Ma5IW4E<2>_4H<3>P3DN2CK2A<3>805G0BO0G<3>g0Ul0Xq0`v0d<2\ >y0fz0gy0h<3>u1mt1ns1or2q<2>v2u<3>c5eZ6`U6X<2>F9LAAG7FO4KW0Qc<3>5Xc6Zc7`\ c7aa7c_7eY<3>FcgHciJbl<3>S_v<3>civflvinvlqvotvsww<2>zzz<3>rwzovzhsw<3>Gc\ h8_d8Xa<3>8JP8FL8CI<3>SCCXCAaB9<3>uA2zA0xA0<12>SA1QA1NA1<3>D92<6>UXAW`BY\ cC<3>hrI<3>UnXRm_NlcJkgFfpAaz<3>PJoSFlWAi_5fc0ce7_jFRoNIzb0zj0000zr0zz1z\ zC<2>zzz<9>Mb8 } 56418-3 { ; Mmods-phoenix-manowar-secant-magnet ; Quasi 3d Structures ; Time 0.04.30.72 1280/1024 ; reset=2004 type=formula formulafile=mfr_12.frm formulaname=multifractal_12 function=sin/exp/exp/sin passes=t center-mag=+0.29710275190449560/+0.00039133892053301/396.5893/1/-90/3.88\ 578058618804789e-016 params=-0.9899594103823969/0.4572283089693899/56418.06595750001/14235.49\ 11030602/152048.0404808025/384.1604894022/384.00482000595/128.1007683001\ /256.1007683001/512.1007683001 float=y maxiter=3072 inside=maxiter outside=tdis periodicity=0 rseed=-2436 colors=000000zr0zz1zzC<2>zzz<3>jqdfo_blU<3>Mb8<3>LQ8KM8KJ8<2>I88H44G00<3\ >TA5WD6ZF7aI8eLAhMBiODjQF<3>qeBriAtm9vq8xu7zz5zz4zz3<4>zj4zg4zc4<3>zS5zP\ 5zL6zI6zE6wE6tD6<6>vAIv9Kv9M<3>x7Sy7Uy6Wz6Yz5_<3>f5Ma5IW4E<2>_4H<3>P3DN2\ CK2A<3>805G0BO0G<3>g0Ul0Xq0`v0d<2>y0fz0gy0h<3>u1mt1ns1or2q<2>v2u<3>c5eZ6\ `U6X<2>F9LAAG7FO4KW0Qc<3>5Xc6Zc7`c7aa7c_7eY<3>FcgHciJbl<3>S_v<3>civflvin\ vlqvotvsww<2>zzz<3>rwzovzhsw<3>Gch8_d8Xa<3>8JP8FL8CI<3>SCCXCAaB9<3>uA2zA\ 0xA0<12>SA1QA1NA1<3>D92<6>UXAW`BYcC<3>hrI<3>UnXRm_NlcJkgFfpAaz<3>PJoSFlW\ Ai_5fc0ce7_jFRoNIzb0zj0 } 56418-10 { ; Mmods-phoenix-manowar-secant-magnet ; Mandelbrot in Snow and Ice ; Time 0.04.13.42 1280/1024 ; reset=2004 type=formula formulafile=mfr_12.frm formulaname=multifractal_12 function=sin/exp/exp/sin passes=t center-mag=+0.29733191148376500/-0.01234422506337566/1357.556/1/119.9999\ 99999999076/1.65777114258247593e-013 params=-0.9899594103823969/0.4572283089693899/56418.06595750001/14235.49\ 11030602/152048.0404808025/384.1604894022/384.00482000595/128.1007683001\ /256.1007683001/512.1007683001 float=y maxiter=3072 inside=maxiter outside=tdis periodicity=0 rseed=-2436 colors=000w1k<3>s1or2qs2ru2tv2u<3>c5eZ6`U6X<2>F9LAAG7FO4KW0Qc<3>5Xc6Zc7`\ c7aa7c_7eY<3>FcgHciJbl<3>S_v<3>civflvinvlqvotvsww<2>zzz<3>rwzovzhsw<3>Gc\ h8_d8Xa<3>8JP8FL8CI<3>SCCXCAaB9<3>uA2zA0xA0<12>SA1QA1NA1<3>D92<6>UXAW`BY\ cC<3>hrI<3>UnXRm_NlcJkgFfpAaz<3>PJoSFlWAi_5fc0ce7_jFRoNIzb0zj0000zr0zz1z\ zC<2>zzz<3>jqdfo_blU<3>Mb8<3>LQ8KM8KJ8<2>I88H44G00<3>TA5WD6ZF7aI8eLAhMBi\ ODjQF<3>qeBriAtm9vq8xu7zz5zz4zz3<4>zj4zg4zc4<3>zS5zP5zL6zI6zE6wE6tD6<6>v\ AIv9Kv9M<3>x7Sy7Uy6Wz6Yz5_<3>f5Ma5IW4E<2>_4H<3>P3DN2CK2A<3>805G0BO0G<3>g\ 0Ul0Xq0`v0d<2>y0fz0gy0hx0i } frm:multifractal_12 { ; Albrecht Niekamp Dec, 2013 ;P1 spider-julia-seed ;RP2 Left: 5 Digit_Channels: (1)shape (2)out (3)ins_1 (4)ins_2 (5)ins_3 ; Frm: 0_off 1_Secant 2_Mand(2) 3_Bees 4_Jul/Manowar 5_Mmods ; 6_Phoenix 7_Newton 8_Spider/Magnet ; Right: 2 Digit_ManyMods_Number of sides 2 Digit_Phoen 2 Digit_Spid ; 1 Digit_TransReset-Shape: 0_no 1_DblMan 2_Iter 3_both +5_warp ; 4 Digit_TransReset-Ch 2-5: 0_no 1_z 2_Iter 3_both +5_warp ;IP2 Left: 5 Digit_Bailout Number for Channels 1 to 5 ; Right: Variables: 4 Digit_Mand/Jul (2var) 2 Digit_Secant 4 Digit_Bees ;RP3 Left: 2 Digit_Newtonvariable 4 Digits_bailout1 ; Right: 4 Digit_bailout2 4 Digit_bailout3 1 Digit_Magnet ;IP3 Left: 4 Digit_Shape: Warp-factor (fn1 is used) ; Right: 4 Digit_bailout4 4 Digit_bailout5 1 digit_mow=2 1 digit_mag=2 ;RP4 Left: 4 Digit_Outside: Warp-factor (fn2 used) ; Right: Outside: 4 Digit+fractdig_Border-out 4 Digit+fractdig_border-in ;IP4 Left: Inside1_Maxiter ; Right: Inside1_Transit: 1_maxit 2_borderout 3_borderin +5_maxit+bord ; 5 Digit_warp factor (fn2 used) 4 Digit+fractaldigit_border1 ;RP5 Left: Inside2_Maxiter ; Right: Inside2_Transit: 1_maxit 2_borderout 3_borderin +5_maxit+bord ; 5 Digit_warp factor (fn3 used) 4 Digit+fractaldigit_border2 ;IP5 Left: Inside3_Maxiter ; Right: Inside3_Transit: 1_maxit 2_borderout 3_borderin +5_maxit+bord ; 5 Digits_Warp factor (fn4 used) 4 Digit+fractaldigit_border3 ;fn(1) shared by many-mods + bees ; z=pixel da=real(p2) dd=trunc(da) tt=dd>0 da=trunc((da-dd)*100000000000)+11111 dd=dd+11111 d=trunc(dd/10000) dd=dd-d*10000 d3=(d==4)+(d==5)+(d==8)+(d==9) d4=d3==0 vb=d>5 ex0=(d>1) sc=d==2 mo=d==6 px=d==7 ab=px+(d==3)+(d==5)+(d==9) d=trunc(dd/1000) dd=dd-d*1000 ex1=(d>1) sc1=d==2 mo1=d==6 px1=d==7 v1m=mo1+px1 v1j=d>7 dd1=v1j+(d==4)+(d==5) ab1=px1+(d==3)+(d==5)+(d==9) d=trunc(dd/100) dd=dd-d*100 ex2=(d>1) sc2=d==2 mo2=d==6 px2=d==7 v2m=mo2+px2 v2j=d>7 dd2=v2j+(d==4)+(d==5) ab2=px2+(d==3)+(d==5)+(d==9) d=trunc(dd/10) ex3=(d>1) sc3=d==2 mo3=d==6 px3=d==7 v3m=mo3+px3 v3j=d>7 dd3=v3j+(d==4)+(d==5) ab3=px3+(d==3)+(d==5)+(d==9) d=dd-d*10 ba=imag(p5) mi3=trunc(ba) dd=(d>1)+(mi3>1) ex4=(dd==2) sc4=d==2 mo4=d==6 px4=d==7 v4m=mo4+px4 v4j=d>7 dd4=v4j+(d==4)+(d==5) ab4=px4+(d==3)+(d==5)+(d==9) tt=ex1+ex0+ex2+ex3+ex4 ; mm=trunc(da/1000000000) da=da-mm*1000000000 ph=trunc(da/10000000)/100 da=da-ph*1000000000 sp=trunc(da/100000)/100 da=da-sp*10000000 d=trunc(da/10000) dm=(d==2)+(d==4) ir0=(d==3)+(d==4) d=trunc(da/1000) w1=d>4 da=da-d*1000 d=d-5*w1 rs1=(d==2)+(d==4) ir1=(d==3)+(d==4) d=trunc(da/100) w2=d>4 da=da-d*100 d=d-5*w2 rs2=(d==2)+(d==4) ir2=(d==3)+(d==4) d=trunc(da/10) w3=d>4 da=da-d*10 d=d-5*w3 rs3=(d==2)+(d==4) ir3=(d==3)+(d==4) d=round(da) w4=d>4 d=d-5*w4 rs4=(d==2)+(d==4) ; d=real(p3) dd=trunc(d) da=trunc((d-dd)*10000000000) pp=trunc(dd/10000) ba1=dd-10000*pp ba2=trunc(da/1000000) da=da-1000000*ba2 ba3=trunc(da/100) da=da-100*ba3 mg=trunc(da/10) ; d=imag(p3) sfac=trunc(d) da=trunc((d-sfac)*10000000000) ba4=trunc(da/1000000) da=da-ba4*1000000 ba5=trunc(da/100) da=da-ba5*100 d=trunc(da/10) da=da-d*10 mow=d==2 mag=da==2 ; d=real(p4) ofac=trunc(d) da=trunc((d-ofac)*10000000000) bh=trunc(da/100000)/10 bl=(da-bh*1000000)/10 bs=bl/2 ; d=imag(p2) t=d<0 if (t) d=-d endif dd=trunc(d) da=trunc((d-dd)*10000000000) d=trunc(dd/10000) dd=dd-d*10000 bb0=ba1*(d==1)+ba2*(d==2)+ba3*(d==3)+ba4*(d==4)+ba5*(d==5) d=trunc(dd/1000) dd=dd-d*1000 bb1=ba1*(d==1)+ba2*(d==2)+ba3*(d==3)+ba4*(d==4)+ba5*(d==5) d=trunc(dd/100) dd=dd-d*100 bb2=ba1*(d==1)+ba2*(d==2)+ba3*(d==3)+ba4*(d==4)+ba5*(d==5) d=trunc(dd/10) dd=dd-d*10 bb3=ba1*(d==1)+ba2*(d==2)+ba3*(d==3)+ba4*(d==4)+ba5*(d==5) d=round(dd) bb4=ba1*(d==1)+ba2*(d==2)+ba3*(d==3)+ba4*(d==4)+ba5*(d==5) ; d=da p0=trunc(d/100000000)/10 d=d-p0*1000000000 p6=trunc(d/1000000)/10 d=d-p6*10000000 if (t) p6=-p6 endif p7=trunc(d/10000)/10 d=d-p7*100000 dp=p6+p0/100 p8=trunc(d/100)/100 d=d-p8*10000 p9=d/100 ; d=imag(p4) mi1=trunc(d) da=trunc((d-mi1)*100000000000) d=trunc(da/10000000000) bt1=d>6 da=da-d*10000000000 d=d-5*bt1 dt1=d>1 iv1=d==3 fac1=trunc(da/100000) da=da-fac1*100000 bo1=(da/100000)/10 ; d=real(p5) mi2=trunc(d) da=trunc((d-mi2)*100000000000) d=trunc(da/10000000000) bt2=d>6 da=da-d*10000000000 d=d-5*bt2 dt2=d>1 iv2=d==3 fac2=trunc(da/100000) da=da-fac2*100000 bo2=(da/100000)/10 ; d=imag(p5) mi3=trunc(d) da=trunc((d-mi3)*100000000000) d=trunc(da/10000000000) bt3=d>6 da=da-d*10000000000 d=d-5*bt3 dt3=d>1 iv3=(d==3) fac3=trunc(da/100000) da=da-fac3*100000 bo3=(da/100000)/10 ; if (vb) if (d3) if (ab) if (mag) c=z z=pixel x=mg x=x+(x==0)*3 ;magnet else z=pixel ;Spider c=p1 endif else z=pixel ;newton c=p1 endif elseif (ab) c=z ;Phoenix z=pixel else c=0.4*log(sqr(z^mm)) ;many mods z=0 endif elseif (d3) if (ab) if (mow) ;manowar mt = (4 * (real(p2)<=0) + real(p2) * (0<p2) ) c=p1 z=pixel else c=p1 ;Julia z=pixel endif else ;bees c=p1 z=pixel endif elseif (ab) c=z ;Mandel z=0 else c=z ;Secant z=pixel endif t=0 bo=|z| p=pp z0=p7 zold=(0.0,0.0) cb=p9 ba=bb0 : if (tt>0) t=t+1 if (ex0) ex0=t<mi1 if (bo>bs) u=2*(fn1(t/sfac)) ex0=0 if (ir0) t=0 endif if (d4) z=z*u if (mo) c=0.4*log(sqr(z^mm)) else c=pixel endif else z=pixel cb=p9*u c=p1*u p=pp*u endif tt=tt-1+ex0 endif elseif ((ex1)&&bo>bl) if (bo<bh) d3=dd1 ba=bb1 ab=ab1 ex1=0 tt=tt-1 if (w1) u=2*(fn2(t/ofac)) else u=1,0 endif if (ir1) t=0 endif if (d3) vb=v1j if (rs1) z=pixel cb=p9*u c=p1*u p=pp*u else c=p1 z=z*u cb=p9 endif else vb=v1m if (rs1) c=z*u z=pixel*(sc1+px1) z0=p7*u ph=ph*u else c=z z=z*u endif if (mo1) c=0.4*log(sqr(z^mm)) endif endif endif elseif (ex2) if (dt1) if (iv1) d=bo>bo1 else d=bo<bo1 endif if (bt1) d=d+(t>mi1) endif else d=t>mi1 endif if (d) ab=ab2 d3=dd2 ba=bb2 ex2=0 tt=tt-1 if (w2) u=2*(fn2(t/fac1)) else u=1,0 endif if (ir2) t=0 endif if (d3) vb=v2j if (rs2) z=pixel cb=p9*u c=p1*u p=pp*u else cb=p9 c=p1 z=z*u endif else vb=v2m if (rs2) c=z*u z=pixel*(sc2+px2) z0=p7*u ph=ph*u else c=z z=z*u endif if (mo2) c=0.4*log(sqr(z^mm)) endif endif endif elseif (ex3) if (dt2) if (iv2) d=bo>bo2 else d=bo<bo2 endif if (bt2) d=d+(t>mi2) endif else d=t>mi2 endif if (d) ab=ab3 d3=dd3 ba=bb3 ex3=0 tt=tt-1 if (w3) u=2*(fn3(t/fac2)) else u=1,0 endif if (ir3) t=0 endif if (d3) vb=v3j if (rs3) z=pixel cb=p9*u c=p1*u p=pp*u else cb=p9 c=p1 z=z*u endif else vb=v3m if (rs3) c=z*u z=pixel*(sc3+px3) z0=p7*u ph=ph*u else c=z z=z*u endif vb=v3m if (mo3) c=0.4*log(sqr(z^mm)) endif endif endif elseif (ex4) if (dt3) if (iv3) d=bo>bo3 else d=bo<bo3 endif if (bt3) d=d+(t>mi3) endif else d=t>mi3 endif if (d) ab=ab4 d3=dd4 ba=bb4 ex4=0 tt=0 if (w4) u=2*(fn4(t/fac3)) else u=1,0 endif if (d3) vb=v4j if (rs4) z=pixel cb=p9*u c=p1*u p=pp*u else cb=p9 c=p1 z=z*u endif else vb=v4m if (rs4) c=z*u z=pixel*(sc4+px4) z0=p7*u ph=ph*u else c=z z=z*u endif if (mo4) c=0.4*log(sqr(z^mm)) endif endif endif endif endif if (vb) if (d3) if (ab) if (mag) ;magnet z=((z^x+c-1)/(2*z+c-2))^(x-1) else z=z*z+c ;Spiderjul c=c*sp+z endif else z1=z^p-1 ;newton z2=p*z*z z=z-z1/z2 endif elseif (ab) z1=z*z+0.56+ph/100-0.5*zold ;Phoenix zold=z z=z1 else z2=fn1(z)+c ;Many_mods z1=cos(z2) z=c*(1-z1)/(1+z1) endif elseif (d3) if (ab) if (mow) z1 = z ;manowar oldz = z z = sqr(oldz) + z1 + c z1 = oldz else z2=z*z ;Julia z=z2*z2+p6*z2+c-p0 endif else z1=fn1(z)-cb ;Bees z2=z1^p8-1 z3=p8*(z1^(p8-1)) z=z-(z2/z3) endif elseif (ab) if (dm) z=z*z+c+c*c-dp ;Double Mandel else z2=z*z ;Mandel z=z2*z2+p6*z2+c-p0 endif else z3=z ;Secant z1=z0*z0*z0*z0-1 z2=z*z*z*z-1 z=z-z2*(z-z0)/(z2-z1) z0=z3 endif bo=|z| bo<ba }

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Re: [Fractint] 2 new MFR12 zooms
by Hal Lane 24 Dec '13

24 Dec '13

Nice images! Great colors! Thanks, - Hal Lane ######################## # hallane(a)earthlink.net ######################## Author: Albrechtx Date: 2013-12-24 06:55 -500 To: Fractint and General Fractals Discussion Subject: [Fractint] 2 new MFR12 zooms HI, ; as Xmas for me is something I have to survive, I will try to keep your attention with new and interesting images. Here are two of them, also available in the new MFR12 dropbox folder. As long as the frm has not reached itÂ´s final status I will add it to the par. The present version will calculate the previous images too. ; https://www.dropbox.com/sh/blc9b9hlwl1vq2m/zRbBr0bX_C ; Cheers, Albrecht ; =======================================start parameter===================== 80484-5 { ; Zoom into Magnet+Manowar Mix ... 80484-4 { ; Zoom into Magnet+Manowar Mix ... frm:multifractal_12 { ;Preliminary! Albrecht Niekamp Dec, 2013 =======================================start parameter===================== --- This email is free from viruses and malware because avast! Antivirus protection is active. http://www.avast.com

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Genuine Multifractal
by Albrechtx 24 Dec '13

24 Dec '13

HI, and a last one for this xmas survival test. It´is really spectacular as it features 5 frms mmods-phoenix-manowar-secant-magnet. Their individual segments can be discovered by more or less deep zooming. ; https://www.dropbox.com/sh/blc9b9hlwl1vq2m/zRbBr0bX_C ; no change to the formula ; Cheers, Albrecht ; ============================start parameter================================ 56418 { ; Mmods-phoenix-manowar-secant-magnet ; Zooming unlimited ; Time 0.02.43.46 1280/1024 ; Albrecht Niekamp Dec, 2013 reset=2004 type=formula formulafile=mfr_12.frm formulaname=multifractal_12 function=sin/exp/exp/sin passes=t center-mag=0.29146/0/0.705929/1/90/3.88578058618804789e-016 params=-0.9899594103823969/0.4572283089693899/56418.0659575/14235.491103\ 0602/152048.0404808025/384.1604894022/384.00482000595/128.1007683001/256\ .1007683001/512.1007683001 float=y maxiter=3072 inside=maxiter outside=tdis periodicity=0 rseed=-2436 colors=000000zr0zz1zzC<2>zzz<3>jqdfo_blU<3>Mb8<3>LQ8KM8KJ8<2>I88H44G00<3\ >TA5WD6ZF7aI8eLAhMBiODjQF<3>qeBriAtm9vq8xu7zz5zz4zz3<4>zj4zg4zc4<3>zS5zP\ 5zL6zI6zE6wE6tD6<6>vAIv9Kv9M<3>x7Sy7Uy6Wz6Yz5_<3>f5Ma5IW4E<2>_4H<3>P3DN2\ CK2A<3>805G0BO0G<3>g0Ul0Xq0`v0d<2>y0fz0gy0h<3>u1mt1ns1or2q<2>v2u<3>c5eZ6\ `U6X<2>F9LAAG7FO4KW0Qc<3>5Xc6Zc7`c7aa7c_7eY<3>FcgHciJbl<3>S_v<3>civflvin\ vlqvotvsww<2>zzz<3>rwzovzhsw<3>Gch8_d8Xa<3>8JP8FL8CI<4>XCAaB9fB7<3>zA0<1\ 3>SA1QA1NA1<3>D92<6>UXAW`BYcC<3>hrI<3>UnXRm_NlcJkgFfpAaz<3>PJoSFlWAi_5fc\ 0ce7_jFRoNIzb0zj0 }

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Single Manowar Image
by Albrechtx 24 Dec '13

24 Dec '13

HI, again ; promised to keep you busy: Here´s a single Manowar Image which is an absolute spectacular and beautiful creation. Just watching the generation you simply cannot believe it. So here´s only the par-file without a link. Albrecht ===============================start parameter================================ Manowar-Basic3 { ; Single Manowar ; Time 0.17.21.00 1280/1024 reset=2004 type=formula formulafile=mfr_12.frm formulaname=multifractal_12 function=sin/sin/exp/sin passes=t center-mag=-0.265106/0.00308737/1.645275/1/90/3.88578058618804789e-016 params=1.429593798638874/0.444792016357921/40000.32595700022/25234.05060\ 20602/152048.0404808025/384.1604894022/384.00482000595/256.1007683/512.1\ 007683001/512.1007683001 float=y maxiter=3072 inside=maxiter logmap=3 periodicity=0 rseed=-2436 colors=000yz1yzC<2>yzz<3>iqdeo_alU<3>Lb8<3>KQ8JM8JJ8<2>H88G44F00<3>SA5VD\ 6YF7`I8dLAgMBhODiQF<3>peBqiAsm9uq8wu7yz5yz4yz3<4>yj4yg4yc4<3>yS5yP5yL6yI\ 6yE6vE6sD6<6>uAIu9Ku9M<3>w7Sx7Ux6Wy6Yy5_<3>e5M`5IV4E<2>Z4H<3>O3DM2CJ2A<3\ >705F0BN0G<3>f0Uk0Xp0`u0d<2>x0fy0gx0h<3>t1ms1nr1oq2q<2>u2u<3>b5eY6`T6X<2\ >E9L9AG6FO3KW0Qc0Sc<3>5Zc6`c6aa6c_6eY<3>EcgGciIbl<3>R_v<3>bivelvhnvkqvnt\ vrww<2>yzz<3>qwznvzgsw<3>Fch7_d7Xa<3>7JP7FL7CI<3>RCCWCA`B9<3>tA2yA0wA0<1\ 2>RA1PA1MA1<3>C92<6>TXAV`BXcC<3>grI<3>TnXQm_MlcIkgEfp9az<3>OJoRFlVAiZ5fb\ 0cd7_iFRnNIyb0yj0000yr0 }

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2 new MFR12 zooms
by Albrechtx 24 Dec '13

24 Dec '13

HI, ; as Xmas for me is something I have to survive, I will try to keep your attention with new and interesting images. Here are two of them, also available in the new MFR12 dropbox folder. As long as the frm has not reached it´s final status I will add it to the par. The present version will calculate the previous images too. ; https://www.dropbox.com/sh/blc9b9hlwl1vq2m/zRbBr0bX_C ; Cheers, Albrecht ; =======================================start parameter===================== 80484-5 { ; Zoom into Magnet+Manowar Mix ; Time 0.07.05.32 1280/1024 reset=2004 type=formula formulafile=mfr_12.frm formulaname=multifractal_12 function=sin/sin/exp/sin passes=t center-mag=+0.23366079713959790/-0.00046333770724252/2.541648e+008/1/174\ .999999996770043/-1.34336575335902708e-008 params=1.892178106021302/0.4900357066560869/80484.32595702122/25232.0506\ 020602/152048.0404808036/384.1604894022/384.00482000595/256.1007683/512.\ 1007683001/512.1007683001 float=y maxiter=3072 inside=maxiter outside=tdis logmap=3 periodicity=0 rseed=-2436 colors=000U0Y<3>f0lj0pm0sp0w<4>_0dX0aU0Y<2>K0NH0JG0NE1R<3>7UX6`Z4h_2oa0w\ c<10>2WI2TG2RE<3>4G54D36F5<16>kkammcpoe<3>zwm<3>mhZjdVfaS<3>VMCRI8OE4KA0\ 000<43>000<4>000330<6>220220220<3>110000110<2>000KA4<7>gcOjgRmjT<3>zzc<9\ >UOFRKDOGA<3>A00<9>f0Ci0Dl0F<3>z0K<6>Z0EV0DR0C<3>A08004000<26>000<4>000<\ 7>Q0U } 80484-4 { ; Zoom into Magnet+Manowar Mix ; Time 0.05.08.38 1280/1024 reset=2004 type=formula formulafile=mfr_12.frm formulaname=multifractal_12 function=sin/sin/exp/sin passes=t center-mag=+0.23366080213478760/-0.00046334962442127/1.270824e+007/1/175\ .000000002785839/-9.36931576073218864e-009 params=1.892178106021302/0.4900357066560869/80484.32595702122/25232.0506\ 020602/152048.0404808035/384.1604894022/384.00482000595/256.1007683/512.\ 1007683001/512.1007683001 float=y maxiter=3072 inside=maxiter outside=tdis logmap=3 periodicity=0 rseed=-2436 colors=000i0o<3>X0aU0YR0U<2>H0JG0NE1R<3>7UX6`Z4h_2oa0wc<10>2WI2TG2RE<3>4\ G54D36F5<16>kkammcpoe<3>zwm<3>mhZjdVfaS<3>VMCRI8OE4KA0000<43>000<4>00033\ 0<6>220220220<3>110000110<2>000KA4<7>gcOjgRmjT<3>zzc<9>UOFRKDOGA<3>A00<9\ >f0Ci0Dl0F<3>z0K<6>Z0EV0DR0C<3>A08004000<26>000<4>000<7>Q0UU0YX0a_0dc0hf\ 0l<2>p0wm0s } frm:multifractal_12 { ;Preliminary! Albrecht Niekamp Dec, 2013 ;P1 spider-julia-seed ;RP2 Left: 5 Digit_Channels: (1)shape (2)out (3)ins_1 (4)ins_2 (5)ins_3 ; Frm: 0_off 1_Secant 2_Mand(2) 3_Bees 4_Jul/Manowar 5_Mmods ; 6_Phoenix 7_Newton 8_Spider/Magnet ; Right: 2 Digit_ManyMods_Number of sides 2 Digit_Phoen 2 Digit_Spid ; 1 Digit_TransReset-Shape: 0_no 1_DblMan 2_Iter 3_both +5_warp ; 4 Digit_TransReset-Ch 2-5: 0_no 1_z 2_Iter 3_both +5_warp ;IP2 Left: 5 Digit_Bailout Number for Channels 1 to 5 ; Right: Variables: 4 Digit_Mand/Jul (2var) 2 Digit_Secant 4 Digit_Bees ;RP3 Left: 2 Digit_Newtonvariable 4 Digits_bailout1 ; Right: 4 Digit_bailout2 4 Digit_bailout3 1 Digit_Magnet ;IP3 Left: 4 Digit_Shape: Warp-factor (fn1 is used) ; Right: 4 Digit_bailout4 4 Digit_bailout5 1 digit_mow=2 1 digit_mag=2 ;RP4 Left: 4 Digit_Outside: Warp-factor (fn2 used) ; Right: Outside: 4 Digit+fractdig_Border-out 4 Digit+fractdig_border-in ;IP4 Left: Inside1_Maxiter ; Right: Inside1_Transit: 1_maxit 2_borderout 3_borderin +5_maxit+bord ; 5 Digit_warp factor (fn2 used) 4 Digit+fractaldigit_border1 ;RP5 Left: Inside2_Maxiter ; Right: Inside2_Transit: 1_maxit 2_borderout 3_borderin +5_maxit+bord ; 5 Digit_warp factor (fn3 used) 4 Digit+fractaldigit_border2 ;IP5 Left: Inside3_Maxiter ; Right: Inside3_Transit: 1_maxit 2_borderout 3_borderin +5_maxit+bord ; 5 Digits_Warp factor (fn4 used) 4 Digit+fractaldigit_border3 ;fn(1) shared by many-mods + bees ; z=pixel da=real(p2) dd=trunc(da) tt=dd>0 da=round((da-dd)*100000000000)+11111 dd=dd+11111 d=trunc(dd/10000) dd=dd-d*10000 d3=(d==4)+(d==5)+(d==8)+(d==9) d4=d3==0 vb=d>5 ex0=(d>1) sc=d==2 mo=d==6 px=d==7 ab=px+(d==3)+(d==5)+(d==9) d=trunc(dd/1000) dd=dd-d*1000 ex1=(d>1) sc1=d==2 mo1=d==6 px1=d==7 v1m=mo1+px1 v1j=d>7 dd1=v1j+(d==4)+(d==5) ab1=px1+(d==3)+(d==5)+(d==9) d=trunc(dd/100) dd=dd-d*100 ex2=(d>1) sc2=d==2 mo2=d==6 px2=d==7 v2m=mo2+px2 v2j=d>7 dd2=v2j+(d==4)+(d==5) ab2=px2+(d==3)+(d==5)+(d==9) d=trunc(dd/10) ex3=(d>1) sc3=d==2 mo3=d==6 px3=d==7 v3m=mo3+px3 v3j=d>7 dd3=v3j+(d==4)+(d==5) ab3=px3+(d==3)+(d==5)+(d==9) d=dd-d*10 ba=imag(p5) mi3=trunc(ba) dd=(d>1)+(mi3>1) ex4=(dd==2) sc4=d==2 mo4=d==6 px4=d==7 v4m=mo4+px4 v4j=d>7 dd4=v4j+(d==4)+(d==5) ab4=px4+(d==3)+(d==5)+(d==9) tt=ex1+ex0+ex2+ex3+ex4 ; mm=trunc(da/1000000000) da=da-mm*1000000000 ph=trunc(da/10000000)/100 da=da-ph*1000000000 sp=trunc(da/100000)/100 da=da-sp*10000000 d=trunc(da/10000) dm=(d==2)+(d==4) ir0=(d==3)+(d==4) d=trunc(da/1000) w1=d>4 da=da-d*1000 d=d-5*w1 rs1=(d==2)+(d==4) ir1=(d==3)+(d==4) d=trunc(da/100) w2=d>4 da=da-d*100 d=d-5*w2 rs2=(d==2)+(d==4) ir2=(d==3)+(d==4) d=trunc(da/10) w3=d>4 da=da-d*10 d=d-5*w3 rs3=(d==2)+(d==4) ir3=(d==3)+(d==4) d=round(da) w4=d>4 d=d-5*w4 rs4=(d==2)+(d==4) ; d=real(p3) dd=trunc(d) da=trunc((d-dd)*10000000000) pp=trunc(dd/10000) ba1=dd-10000*pp ba2=trunc(da/1000000) da=da-1000000*ba2 ba3=trunc(da/100) da=da-100*ba3 mg=trunc(da/10) ; d=imag(p3) sfac=trunc(d) da=trunc((d-sfac)*10000000000) ba4=trunc(da/1000000) da=da-ba4*1000000 ba5=trunc(da/100) da=da-ba5*100 d=trunc(da/10) da=da-d*10 mow=d==2 mag=da==2 ; d=real(p4) ofac=trunc(d) da=(d-ofac)*10000000000 bh=trunc(da/100000)/10 bl=(da-bh*1000000)/10 bs=bl/2 ; d=imag(p2) t=d<0 if (t) d=-d endif dd=trunc(d) da=round((d-dd)*10000000000) d=trunc(dd/10000) dd=dd-d*10000 bb0=ba1*(d==1)+ba2*(d==2)+ba3*(d==3)+ba4*(d==4)+ba5*(d==5) d=trunc(dd/1000) dd=dd-d*1000 bb1=ba1*(d==1)+ba2*(d==2)+ba3*(d==3)+ba4*(d==4)+ba5*(d==5) d=trunc(dd/100) dd=dd-d*100 bb2=ba1*(d==1)+ba2*(d==2)+ba3*(d==3)+ba4*(d==4)+ba5*(d==5) d=trunc(dd/10) dd=dd-d*10 bb3=ba1*(d==1)+ba2*(d==2)+ba3*(d==3)+ba4*(d==4)+ba5*(d==5) d=round(dd) bb4=ba1*(d==1)+ba2*(d==2)+ba3*(d==3)+ba4*(d==4)+ba5*(d==5) ; d=da p0=trunc(d/100000000)/10 d=d-p0*1000000000 p6=trunc(d/1000000)/10 d=d-p6*10000000 if (t) p6=-p6 endif p7=trunc(d/10000)/10 d=d-p7*100000 dp=p6+p0/100 p8=trunc(d/100)/100 d=d-p8*10000 p9=d/100 ; d=imag(p4) mi1=trunc(d) da=(d-mi1)*100000000000 d=trunc(da/10000000000) bt1=d>6 da=da-d*10000000000 d=d-5*bt1 dt1=d>1 iv1=d==3 fac1=trunc(da/100000) da=da-fac1*100000 bo1=(da/100000)/10 ; d=real(p5) mi2=trunc(d) da=(d-mi2)*100000000000 d=trunc(da/10000000000) bt2=d>6 da=da-d*10000000000 d=d-5*bt2 dt2=d>1 iv2=d==3 fac2=trunc(da/100000) da=da-fac2*100000 bo2=(da/100000)/10 ; d=imag(p5) mi3=trunc(d) da=(d-mi3)*100000000000 d=trunc(da/10000000000) bt3=d>6 da=da-d*10000000000 d=d-5*bt3 dt3=d>1 iv3=(d==3) fac3=trunc(da/100000) da=da-fac3*100000 bo3=(da/100000)/10 ; if (vb) if (d3) if (ab) if (mag) c=z z=pixel x=mg x=x+(x==0)*3 ;magnet else z=pixel ;Spider c=p1 endif else z=pixel ;newton c=p1 endif elseif (ab) c=z ;Phoenix z=pixel else c=0.4*log(sqr(z^mm)) ;many mods z=0 endif elseif (d3) if (ab) if (mow) ;manowar mt = (4 * (real(p2)<=0) + real(p2) * (0<p2) ) c=p1 z=pixel else c=p1 ;Julia z=pixel endif else ;bees c=p1 z=pixel endif elseif (ab) c=z ;Mandel z=0 else c=z ;Secant z=pixel endif t=0 bo=|z| p=pp z0=p7 zold=(0.0,0.0) cb=p9 ba=bb0 : if (tt>0) t=t+1 if (ex0) ex0=t<mi1 if (bo>bs) u=2*(fn1(t/sfac)) ex0=0 if (ir0) t=0 endif if (d4) z=z*u if (mo) c=0.4*log(sqr(z^mm)) else c=pixel endif else z=pixel cb=p9*u c=p1*u p=pp*u endif tt=tt-1+ex0 endif elseif ((ex1)&&bo>bl) if (bo<bh) d3=dd1 ba=bb1 ab=ab1 ex1=0 tt=tt-1 if (w1) u=2*(fn2(t/ofac)) else u=1,0 endif if (ir1) t=0 endif if (d3) vb=v1j if (rs1) z=pixel cb=p9*u c=p1*u p=pp*u else c=p1 z=z*u cb=p9 endif else vb=v1m if (rs1) c=z*u z=pixel*(sc1+px1) z0=p7*u ph=ph*u else c=z z=z*u endif if (mo1) c=0.4*log(sqr(z^mm)) endif endif endif elseif (ex2) if (dt1) if (iv1) d=bo>bo1 else d=bo<bo1 endif if (bt1) d=d+(t>mi1) endif else d=t>mi1 endif if (d) ab=ab2 d3=dd2 ba=bb2 ex2=0 tt=tt-1 if (w2) u=2*(fn2(t/fac1)) else u=1,0 endif if (ir2) t=0 endif if (d3) vb=v2j if (rs2) z=pixel cb=p9*u c=p1*u p=pp*u else cb=p9 c=p1 z=z*u endif else vb=v2m if (rs2) c=z*u z=pixel*(sc2+px2) z0=p7*u ph=ph*u else c=z z=z*u endif if (mo2) c=0.4*log(sqr(z^mm)) endif endif endif elseif (ex3) if (dt2) if (iv2) d=bo>bo2 else d=bo<bo2 endif if (bt2) d=d+(t>mi2) endif else d=t>mi2 endif if (d) ab=ab3 d3=dd3 ba=bb3 ex3=0 tt=tt-1 if (w3) u=2*(fn3(t/fac2)) else u=1,0 endif if (ir3) t=0 endif if (d3) vb=v3j if (rs3) z=pixel cb=p9*u c=p1*u p=pp*u else cb=p9 c=p1 z=z*u endif else vb=v3m if (rs3) c=z*u z=pixel*(sc3+px3) z0=p7*u ph=ph*u else c=z z=z*u endif vb=v3m if (mo3) c=0.4*log(sqr(z^mm)) endif endif endif elseif (ex4) if (dt3) if (iv3) d=bo>bo3 else d=bo<bo3 endif if (bt3) d=d+(t>mi3) endif else d=t>mi3 endif if (d) ab=ab4 d3=dd4 ba=bb4 ex4=0 tt=0 if (w4) u=2*(fn4(t/fac3)) else u=1,0 endif if (d3) vb=v4j if (rs4) z=pixel cb=p9*u c=p1*u p=pp*u else cb=p9 c=p1 z=z*u endif else vb=v4m if (rs4) c=z*u z=pixel*(sc4+px4) z0=p7*u ph=ph*u else c=z z=z*u endif if (mo4) c=0.4*log(sqr(z^mm)) endif endif endif endif endif if (vb) if (d3) if (ab) if (mag) ;magnet z=((z^x+c-1)/(2*z+c-2))^(x-1) else z=z*z+c ;Spiderjul c=c*sp+z endif else z1=z^p-1 ;newton z2=p*z*z z=z-z1/z2 endif elseif (ab) z1=z*z+0.56+ph/100-0.5*zold ;Phoenix zold=z z=z1 else z2=fn1(z)+c ;Many_mods z1=cos(z2) z=c*(1-z1)/(1+z1) endif elseif (d3) if (ab) if (mow) z1 = z ;manowar oldz = z z = sqr(oldz) + z1 + c z1 = oldz else z2=z*z ;Julia z=z2*z2+p6*z2+c-p0 endif else z1=fn1(z)-cb ;Bees z2=z1^p8-1 z3=p8*(z1^(p8-1)) z=z-(z2/z3) endif elseif (ab) if (dm) z=z*z+c+c*c-dp ;Double Mandel else z2=z*z ;Mandel z=z2*z2+p6*z2+c-p0 endif else z3=z ;Secant z1=z0*z0*z0*z0-1 z2=z*z*z*z-1 z=z-z2*(z-z0)/(z2-z1) z0=z3 endif bo=|z| bo<ba }

1 0

Colliding Galaxies
by JackOfTradeZ＠comcast.net 23 Dec '13

23 Dec '13

. Interesting image - it does look like it! Now what parameter tweaks would bring the galaxies closer together? If I animate it, would it look like those videos I've seen of computer simulations of real galaxies colliding? Might be interesting to find out. .

2 1

The Big Riddle
by Albrechtx 23 Dec '13

23 Dec '13

HI, Jack jthis is ust for you to make you a believer! Here is a Par generated with the experimental image nr.3 I deleted all inputs: p1 values names of frms to be used ALL reset commands and yet: after loading just press enter and it starts calculating, you can zoom and any other thing. Explanation? I have none Albrecht =============start parameter============================================== testexperiment { ; generation without input ; preliminary version mfr12 ; only for this purpose reset=2004 type=formula formulafile=mfrtes~1.frm formulaname=multifractal_12 function=sin/sin/exp/sin passes=t center-mag=-0.52844209144796770/-0.14380698937523510/713.7116/1/128.1486\ 20333066049/-1.29332959384948509 params=0/0/0.3259571/11111.0506030602/152048.0404808048/384.1604894048/3\ 84.00482000595/256.0007683/512.0007683001/512.0007683001 float=y maxiter=3072 inside=maxiter logmap=4 periodicity=0 rseed=-2436 colors=000zr0zz1zzC<2>zzz<3>jqdfo_blU<3>Mb8<3>LQ8KM8KJ8<2>I88H44G00<3>TA\ 5WD6ZF7aI8eLAhMBiODjQF<3>qeBriAtm9vq8xu7zz5zz4zz3<4>zj4zg4zc4<3>zS5zP5zL\ 6zI6zE6wE6tD6<6>vAIv9Kv9M<3>x7Sy7Uy6Wz6Yz5_<3>f5Ma5IW4E<2>_4H<3>P3DN2CK2\ A<3>805G0BO0G<3>g0Ul0Xq0`v0d<2>y0fz0gy0h<3>u1mt1ns1or2q<2>v2u<3>c5eZ6`U6\ X<2>F9LAAG7FO4KW0Qc<3>5Xc6Zc7`c7aa7c_7eY<3>FcgHciJbl<3>S_v<3>civflvinvlq\ votvsww<2>zzz<3>rwzovzhsw<3>Gch8_d8Xa<3>8JP8FL8CI<4>XCAaB9fB7<3>zA0<13>S\ A1QA1NA1<3>D92<6>UXAW`BYcC<3>hrI<3>UnXRm_NlcJkgFfpAaz<3>PJoSFlWAi_5fc0ce\ 7_jFRoNIzb0zj0000 } frm:multifractal_12 {; experimental- for this purpose.Albrecht Niekamp Dec2013 ;P1 spider-julia-seed ;RP2 Left: 5 Digit_Channels: (1)shape (2)out (3)ins_1 (4)ins_2 (5)ins_3 ; Frm: 0_off 1_Secant 2_Mand(2) 3_Bees 4_Jul 5_Mmods ; 6_Phoenix 7_Newton 8 Spider ; Right: 2 Digit_ManyMods_Number of sides 2 Digit_Phoen 2 Digit_Spid ; 1 Digit_TransReset-Shape: 0_no 1_DblMan 2_Iter 3_both +5_warp ; 4 Digit_TransReset-Ch 2-5: 0_no 1_z 2_Iter 3_both +5_warp ;IP2 Left: 5 Digit_Bailout Number for Channels 1 to 5 ; Right: Variables: 4 Digit_Mand/Jul (2var) 2 Digit_Secant 4 Digit_Bees ;RP3 Left: 2 Digit_Newtonvariable 4 Digits_bailout1 ; Right: 4 Digit_bailout2 4 Digit_bailout3 1 Digit_Magnet 1 Digit_Manowa ;IP3 Left: 4 Digit_Shape: Warp-factor (fn1 is used) ; Right: 4 Digit_bailout4 4 Digit_bailout5 1 digit_magfrm 1 digit_mowfrm ;RP4 Left: 4 Digit_Outside: Warp-factor (fn2 used) ; Right: Outside: 4 Digit+fractdig_Border-out 4 Digit+fractdig_border-in ;IP4 Left: Inside1_Maxiter ; Right: Inside1_Transit: 1_maxit 2_borderout 3_borderin +5_maxit+bord ; 5 Digit_warp factor (fn2 used) 4 Digit+fractaldigit_border1 ;RP5 Left: Inside2_Maxiter ; Right: Inside2_Transit: 1_maxit 2_borderout 3_borderin +5_maxit+bord ; 5 Digit_warp factor (fn3 used) 4 Digit+fractaldigit_border2 ;IP5 Left: Inside3_Maxiter ; Right: Inside3_Transit: 1_maxit 2_borderout 3_borderin +5_maxit+bord ; 5 Digits_Warp factor (fn4 used) 4 Digit+fractaldigit_border3 ;fn(1) shared by many-mods + bees ; le=0 z=pixel da=real(p2)-1000000 dd=trunc(da) da=round((da-dd)*100000000000)+11111 dd=dd+11111 d=trunc(dd/10000) dd=dd-d*10000 d3=(d==4)+(d==5)+(d==8)+(d==9) d4=d3==0 vb=d>5 ex0=d>1 mm=d==1 sc=d==2 mo=d==6 px=d==7 ab=px+(d==3)+(d==5)+(d==9) d=trunc(dd/1000) dd=dd-d*1000 ex1=d>1 mm1=d==1 sc1=d==2 mo1=d==6 px1=d==7 v1m=mo1+px1 v1j=d>7 dd1=v1j+(d==4)+(d==5) ab1=px1+(d==3)+(d==5)+(d==9) d=trunc(dd/100) dd=dd-d*100 ex2=d>1 mm2=d==1 sc2=d==2 mo2=d==6 px2=d==7 v2m=mo2+px2 v2j=d>7 dd2=v2j+(d==4)+(d==5) ab2=px2+(d==3)+(d==5)+(d==9) d=trunc(dd/10) ex3=d>1 mm3=d==1 sc3=d==2 mo3=d==6 px3=d==7 v3m=mo3+px3 v3j=d>7 dd3=v3j+(d==4)+(d==5) ab3=px3+(d==3)+(d==5)+(d==9) d=dd-d*10 ba=imag(p5) mi3=trunc(ba) dd=(d>1)+(mi3>1) ex4=dd==2 mm4=d==1 sc4=d==2 mo4=d==6 px4=d==7 v4m=mo4+px4 v4j=d>7 dd4=v4j+(d==4)+(d==5) ab4=px4+(d==3)+(d==5)+(d==9) ; mm=trunc(da/1000000000) da=da-mm*1000000000 ph=trunc(da/10000000)/100 da=da-ph*1000000000 sp=trunc(da/100000)/100 da=da-sp*10000000 d=trunc(da/10000) ex0=d>4 da=da-d*10000 d=d-5*ex0 dm=(d==2)+(d==4) ir0=(d==3)+(d==4) d=trunc(da/1000) w1=d>4 da=da-d*1000 d=d-5*w1 rs1=(d==2)+(d==4) ir1=(d==3)+(d==4) d=trunc(da/100) w2=d>4 da=da-d*100 d=d-5*w2 rs2=(d==2)+(d==4) ir2=(d==3)+(d==4) d=trunc(da/10) w3=d>4 da=da-d*10 d=d-5*w3 rs3=(d==2)+(d==4) ir3=(d==3)+(d==4) d=round(da) w4=d>4 d=d-5*w4 rs4=(d==2)+(d==4) tt=ex1+ex0+ex2+ex3+ex4 ; d=real(p3) dd=trunc(d) da=(d-dd)*10000000000 pp=trunc(dd/10000) ba1=dd-10000*pp ba2=trunc(da/1000000) da=da-1000000*ba2 ba3=trunc(da/100) da=da-100*ba3 mg=trunc(da/10) da=da-mg*10 mn=da ; d=imag(p3) sfac=trunc(d) da=(d-sfac)*10000000000 ba4=trunc(da/1000000) da=da-ba4*1000000 ba5=da-ba4*100 mag=trunc da/10 da=da-mag*10 mow=da ; d=real(p4) ofac=trunc(d) da=(d-ofac)*10000000000 bh=trunc(da/100000)/10 bl=(da-bh*1000000)/10 bs=bl/2 ; d=imag(p2) t=d<0 if (t) d=-d endif dd=trunc(d) da=round((d-dd)*10000000000) d=trunc(dd/10000) dd=dd-d*10000 bb0=ba1*(d==1)+ba2*(d==2)+ba3*(d==3)+ba4*(d==4)+ba5*(d==5) d=trunc(dd/1000) dd=dd-d*1000 bb1=ba1*(d==1)+ba2*(d==2)+ba3*(d==3)+ba4*(d==4)+ba5*(d==5) d=trunc(dd/100) dd=dd-d*100 bb2=ba1*(d==1)+ba2*(d==2)+ba3*(d==3)+ba4*(d==4)+ba5*(d==5) d=trunc(dd/10) dd=dd-d*10 bb3=ba1*(d==1)+ba2*(d==2)+ba3*(d==3)+ba4*(d==4)+ba5*(d==5) d=round(dd) bb4=ba1*(d==1)+ba2*(d==2)+ba3*(d==3)+ba4*(d==4)+ba5*(d==5) ; d=da p0=trunc(d/100000000)/10 d=d-p0*1000000000 p6=trunc(d/1000000)/10 d=d-p6*10000000 if (t) p6=-p6 endif p7=trunc(d/10000)/10 d=d-p7*100000 dp=p6+p0/100 p8=trunc(d/100)/100 d=d-p8*10000 p9=d/100 ; d=imag(p4) mi1=trunc(d) da=(d-mi1)*100000000000 d=trunc(da/10000000000) bt1=d>6 da=da-d*10000000000 d=d-5*bt1 dt1=d>1 iv1=d==3 fac1=trunc(da/100000) da=da-fac1*100000 bo1=(da/100000)/10 ; d=real(p5) mi2=trunc(d) da=(d-mi2)*100000000000 d=trunc(da/10000000000) bt2=d>6 da=da-d*10000000000 d=d-5*bt2 dt2=d>1 iv2=d==3 fac2=trunc(da/100000) da=da-fac2*100000 bo2=(da/100000)/10 ; d=imag(p5) mi3=trunc(d) da=(d-mi3)*100000000000 d=trunc(da/10000000000) bt3=d>6 da=da-d*10000000000 d=d-5*bt3 dt3=d>1 iv3=(d==3) fac3=trunc(da/100000) da=da-fac3*100000 bo3=(da/100000)/10 ; if (vb) if (d3) if (ab) z=pixel ;Spider c=p1 else z=pixel c=p1 ;newton endif elseif (ab) c=z ;Phoenix z=pixel else c=0.4*log(sqr(z^mm)) ;many mods z=0 endif elseif (d3) if (ab) c=p1 ;Julia z=pixel else ;bees c=p1 z=pixel endif elseif (ab) c=z ;Mandel z=0 else c=z ;Secant z=pixel endif t=0 bo=|z| p=pp z0=p7 zold=(0.0,0.0) cb=p9 ba=bb0 : if (tt) t=t+1 if (ex0) ex0=t<mi1 if (bo>bs) u=2*(fn1(t/sfac)) ex0=0 if (ir0) t=0 endif if (d4) z=z*u if (mo) c=0.4*log(sqr(z^mm)) else c=pixel endif else z=pixel cb=p9*u c=p1*u p=pp*u endif tt=tt-1+ex0 endif elseif ((ex1)&&bo>bl) if (bo<bh) d3=dd1 ba=bb1 ab=ab1 ex1=0 tt=tt-1 if (w1) u=2*(fn2(t/ofac)) else u=1,0 endif if (ir1) t=0 endif if (d3) vb=v1j if (rs1) z=pixel cb=p9*u c=p1*u p=pp*u else c=p1 z=z*u cb=p9 endif else vb=v1m if (rs1) c=z*u z=pixel*(sc1+px1) z0=p7*u ph=ph*u else c=z z=z*u endif if (mo1) c=0.4*log(sqr(z^mm)) endif endif endif elseif (ex2) if (dt1) if (iv1) d=bo>bo1 else d=bo<bo1 endif if (bt1) d=d+(t>mi1) endif else d=t>mi1 endif if (d) ab=ab2 d3=dd2 ba=bb2 ex2=0 tt=tt-1 if (w2) u=2*(fn2(t/fac1)) else u=1,0 endif if (ir2) t=0 endif if (d3) vb=v2j if (rs2) z=pixel cb=p9*u c=p1*u p=pp*u else cb=p9 c=p1 z=z*u endif else vb=v2m if (rs2) c=z*u z=pixel*(sc2+px2) z0=p7*u ph=ph*u else c=z z=z*u endif if (mo2) c=0.4*log(sqr(z^mm)) endif endif endif elseif (ex3) if (dt2) if (iv2) d=bo>bo2 else d=bo<bo2 endif if (bt2) d=d+(t>mi2) endif else d=t>mi2 endif if (d) ab=ab3 d3=dd3 ba=bb3 ex3=0 tt=tt-1 if (w3) u=2*(fn3(t/fac2)) else u=1,0 endif if (ir3) t=0 endif if (d3) vb=v3j if (rs3) z=pixel cb=p9*u c=p1*u p=pp*u else cb=p9 c=p1 z=z*u endif else vb=v3m if (rs3) c=z*u z=pixel*(sc3+px3) z0=p7*u ph=ph*u else c=z z=z*u endif vb=v3m if (mo3) c=0.4*log(sqr(z^mm)) endif endif endif elseif (ex4) if (dt3) if (iv3) d=bo>bo3 else d=bo<bo3 endif if (bt3) d=d+(t>mi3) endif else d=t>mi3 endif if (d) ab=ab4 d3=dd4 ba=bb4 ex4=0 tt=0 if (w4) u=2*(fn4(t/fac3)) else u=1,0 endif if (d3) vb=v4j if (rs4) z=pixel cb=p9*u c=p1*u p=pp*u else cb=p9 c=p1 z=z*u endif else vb=v4m if (rs4) c=z*u z=pixel*(sc4+px4) z0=p7*u ph=ph*u else c=z z=z*u endif if (mo4) c=0.4*log(sqr(z^mm)) endif endif endif endif endif if (vb) if (d3) if (ab) z=z*z+c ;Spiderjul John Horner c=c*sp+z else z1=z^p-1 ;Quasinewton Puskas Istvan z2=p*z*z z=z-z1/z2 endif elseif (ab) z1=z*z+0.56+ph/100-0.5*zold ;Phoenix Mike Wareman zold=z z=z1 else z2=fn1(z)+c ;Many_mods Linda Allison z1=cos(z2) z=c*(1-z1)/(1+z1) endif elseif (d3) if (ab) z2=z*z ;Julia Puskas Istvan z=z2*z2+p6*z2+c-p0 else z1=fn1(z)-cb ;Bees Ray Girvan z2=z1^p8-1 z3=p8*(z1^(p8-1)) z=z-(z2/z3) endif elseif (ab) if (dm) z=z*z+c+c*c-dp ;Double Mandel else z2=z*z ;Mandel Puskas Istvan z=z2*z2+p6*z2+c-p0 endif else z3=z ;Secant Mike Wareman z1=z0*z0*z0*z0-1 z2=z*z*z*z-1 z=z-z2*(z-z0)/(z2-z1) z0=z3 endif bo=|z| bo<ba }

1 0

The Big Riddle
by JackOfTradeZ＠comcast.net 23 Dec '13

23 Dec '13

. ""These are images created by my software WITHOUT any input"" how is that possible? there MUST be a "seed" input, numbers for parameters, and where does the "fractal formula" come from? .

1 0

The first Multifractal Image
by Albrechtx 23 Dec '13

23 Dec '13

HI, This concludes the presentaton of my new software. There still is a minor problem, so this is not the final version! ; Here is a first appetizer: A mix of manowar and magnet, new and surprising! The image can be viewed immediately in the dropbox folder. ; Cheers, Albrecht ; ==================================start parameter file================ Manowar-Magnet-Mix { ; A first appetizer ; Time 0.03.18.17 1280/1024 ; Just the two new frms used reset=2004 type=formula formulafile=mfr_12.frm formulaname=multifractal_12 function=sin/sin/exp/sin passes=t center-mag=+0.22997564564917950/-0.00031644303807611/76.56715/1/90/3.885\ 78058618804789e-016 params=1.892178106021302/0.4900357066560869/80484.32595702122/25232.0506\ 020602/152048.0404808035/384.1604894022/384.00482000595/256.1007683/512.\ 1007683001/512.1007683001 float=y maxiter=3072 inside=maxiter outside=tdis logmap=3 periodicity=0 rseed=-2436 colors=000yz1yzC<2>yzz<3>iqdeo_alU<3>Lb8<3>KQ8JM8JJ8<2>H88G44F00<3>SA5VD\ 6YF7`I8dLAgMBhODiQF<3>peBqiAsm9uq8wu7yz5yz4yz3<4>yj4yg4yc4<3>yS5yP5yL6yI\ 6yE6vE6sD6<6>uAIu9Ku9M<3>w7Sx7Ux6Wy6Yy5_<3>e5M`5IV4E<2>Z4H<3>O3DM2CJ2A<3\ >705F0BN0G<3>f0Uk0Xp0`u0d<2>x0fy0gx0h<3>t1ms1nr1oq2q<2>u2u<3>b5eY6`T6X<2\ >E9L9AG6FO3KW0Qc0Sc<3>5Zc6`c6aa6c_6eY<3>EcgGciIbl<3>R_v<3>bivelvhnvkqvnt\ vrww<2>yzz<3>qwznvzgsw<3>Fch7_d7Xa<3>7JP7FL7CI<4>WCA`B9eB7<3>yA0<13>RA1P\ A1MA1<3>C92<6>TXAV`BXcC<3>grI<3>TnXQm_MlcIkgEfp9az<3>OJoRFlVAiZ5fb0cd7_i\ FRnNIyb0yj0000yr0 } frm:multifractal_12 { ; Albrecht Niekamp Dec, 2013 ;P1 spider-julia-seed ;RP2 Left: 5 Digit_Channels: (1)shape (2)out (3)ins_1 (4)ins_2 (5)ins_3 ; Frm: 0_off 1_Secant 2_Mand(2) 3_Bees 4_Jul/Manowar 5_Mmods ; 6_Phoenix 7_Newton 8_Spider/Magnet ; Right: 2 Digit_ManyMods_Number of sides 2 Digit_Phoen 2 Digit_Spid ; 1 Digit_TransReset-Shape: 0_no 1_DblMan 2_Iter 3_both +5_warp ; 4 Digit_TransReset-Ch 2-5: 0_no 1_z 2_Iter 3_both +5_warp ;IP2 Left: 5 Digit_Bailout Number for Channels 1 to 5 ; Right: Variables: 4 Digit_Mand/Jul (2var) 2 Digit_Secant 4 Digit_Bees ;RP3 Left: 2 Digit_Newtonvariable 4 Digits_bailout1 ; Right: 4 Digit_bailout2 4 Digit_bailout3 1 Digit_Magnet 1 Digit_Manowa ;IP3 Left: 4 Digit_Shape: Warp-factor (fn1 is used) ; Right: 4 Digit_bailout4 4 Digit_bailout5 1 digit_mow=2 1 digit_mag=2 ;RP4 Left: 4 Digit_Outside: Warp-factor (fn2 used) ; Right: Outside: 4 Digit+fractdig_Border-out 4 Digit+fractdig_border-in ;IP4 Left: Inside1_Maxiter ; Right: Inside1_Transit: 1_maxit 2_borderout 3_borderin +5_maxit+bord ; 5 Digit_warp factor (fn2 used) 4 Digit+fractaldigit_border1 ;RP5 Left: Inside2_Maxiter ; Right: Inside2_Transit: 1_maxit 2_borderout 3_borderin +5_maxit+bord ; 5 Digit_warp factor (fn3 used) 4 Digit+fractaldigit_border2 ;IP5 Left: Inside3_Maxiter ; Right: Inside3_Transit: 1_maxit 2_borderout 3_borderin +5_maxit+bord ; 5 Digits_Warp factor (fn4 used) 4 Digit+fractaldigit_border3 ;fn(1) shared by many-mods + bees ; z=pixel da=real(p2) dd=trunc(da) tt=dd>0 da=round((da-dd)*100000000000)+11111 dd=dd+11111 d=trunc(dd/10000) dd=dd-d*10000 d3=(d==4)+(d==5)+(d==8)+(d==9) d4=d3==0 vb=d>5 ex0=(d>1) sc=d==2 mo=d==6 px=d==7 ab=px+(d==3)+(d==5)+(d==9) d=trunc(dd/1000) dd=dd-d*1000 ex1=(d>1) sc1=d==2 mo1=d==6 px1=d==7 v1m=mo1+px1 v1j=d>7 dd1=v1j+(d==4)+(d==5) ab1=px1+(d==3)+(d==5)+(d==9) d=trunc(dd/100) dd=dd-d*100 ex2=(d>1) sc2=d==2 mo2=d==6 px2=d==7 v2m=mo2+px2 v2j=d>7 dd2=v2j+(d==4)+(d==5) ab2=px2+(d==3)+(d==5)+(d==9) d=trunc(dd/10) ex3=(d>1) sc3=d==2 mo3=d==6 px3=d==7 v3m=mo3+px3 v3j=d>7 dd3=v3j+(d==4)+(d==5) ab3=px3+(d==3)+(d==5)+(d==9) d=dd-d*10 ba=imag(p5) mi3=trunc(ba) dd=(d>1)+(mi3>1) ex4=(dd==2) sc4=d==2 mo4=d==6 px4=d==7 v4m=mo4+px4 v4j=d>7 dd4=v4j+(d==4)+(d==5) ab4=px4+(d==3)+(d==5)+(d==9) tt=ex1+ex0+ex2+ex3+ex4 ; mm=trunc(da/1000000000) da=da-mm*1000000000 ph=trunc(da/10000000)/100 da=da-ph*1000000000 sp=trunc(da/100000)/100 da=da-sp*10000000 d=trunc(da/10000) dm=(d==2)+(d==4) ir0=(d==3)+(d==4) d=trunc(da/1000) w1=d>4 da=da-d*1000 d=d-5*w1 rs1=(d==2)+(d==4) ir1=(d==3)+(d==4) d=trunc(da/100) w2=d>4 da=da-d*100 d=d-5*w2 rs2=(d==2)+(d==4) ir2=(d==3)+(d==4) d=trunc(da/10) w3=d>4 da=da-d*10 d=d-5*w3 rs3=(d==2)+(d==4) ir3=(d==3)+(d==4) d=round(da) w4=d>4 d=d-5*w4 rs4=(d==2)+(d==4) ; d=real(p3) dd=trunc(d) da=(d-dd)*10000000000 pp=trunc(dd/10000) ba1=dd-10000*pp ba2=trunc(da/1000000) da=da-1000000*ba2 ba3=trunc(da/100) da=da-100*ba3 mg=trunc(da/10) da=da-mg*10 mn=da ; d=imag(p3) sfac=trunc(d) da=trunc((d-sfac)*10000000000) ba4=trunc(da/1000000) da=da-ba4*1000000 ba5=trunc(da/100) da=da-ba5*100 d=trunc(da/10) da=da-d*10 mow=d==2 mag=d==2 ; d=real(p4) ofac=trunc(d) da=(d-ofac)*10000000000 bh=trunc(da/100000)/10 bl=(da-bh*1000000)/10 bs=bl/2 ; d=imag(p2) t=d<0 if (t) d=-d endif dd=trunc(d) da=round((d-dd)*10000000000) d=trunc(dd/10000) dd=dd-d*10000 bb0=ba1*(d==1)+ba2*(d==2)+ba3*(d==3)+ba4*(d==4)+ba5*(d==5) d=trunc(dd/1000) dd=dd-d*1000 bb1=ba1*(d==1)+ba2*(d==2)+ba3*(d==3)+ba4*(d==4)+ba5*(d==5) d=trunc(dd/100) dd=dd-d*100 bb2=ba1*(d==1)+ba2*(d==2)+ba3*(d==3)+ba4*(d==4)+ba5*(d==5) d=trunc(dd/10) dd=dd-d*10 bb3=ba1*(d==1)+ba2*(d==2)+ba3*(d==3)+ba4*(d==4)+ba5*(d==5) d=round(dd) bb4=ba1*(d==1)+ba2*(d==2)+ba3*(d==3)+ba4*(d==4)+ba5*(d==5) ; d=da p0=trunc(d/100000000)/10 d=d-p0*1000000000 p6=trunc(d/1000000)/10 d=d-p6*10000000 if (t) p6=-p6 endif p7=trunc(d/10000)/10 d=d-p7*100000 dp=p6+p0/100 p8=trunc(d/100)/100 d=d-p8*10000 p9=d/100 ; d=imag(p4) mi1=trunc(d) da=(d-mi1)*100000000000 d=trunc(da/10000000000) bt1=d>6 da=da-d*10000000000 d=d-5*bt1 dt1=d>1 iv1=d==3 fac1=trunc(da/100000) da=da-fac1*100000 bo1=(da/100000)/10 ; d=real(p5) mi2=trunc(d) da=(d-mi2)*100000000000 d=trunc(da/10000000000) bt2=d>6 da=da-d*10000000000 d=d-5*bt2 dt2=d>1 iv2=d==3 fac2=trunc(da/100000) da=da-fac2*100000 bo2=(da/100000)/10 ; d=imag(p5) mi3=trunc(d) da=(d-mi3)*100000000000 d=trunc(da/10000000000) bt3=d>6 da=da-d*10000000000 d=d-5*bt3 dt3=d>1 iv3=(d==3) fac3=trunc(da/100000) da=da-fac3*100000 bo3=(da/100000)/10 ; if (vb) if (d3) if (ab) if (mag) c=z z=pixel x=mg x=x+(x==0)*3 ;magnet else z=pixel ;Spider c=p1 endif else z=pixel ;newton c=p1 endif elseif (ab) c=z ;Phoenix z=pixel else c=0.4*log(sqr(z^mm)) ;many mods z=0 endif elseif (d3) if (ab) if (mow) ;manowar mt = (4 * (real(p2)<=0) + real(p2) * (0<p2) ) c=p1 z=pixel else c=p1 ;Julia z=pixel endif else ;bees c=p1 z=pixel endif elseif (ab) c=z ;Mandel z=0 else c=z ;Secant z=pixel endif t=0 bo=|z| p=pp z0=p7 zold=(0.0,0.0) cb=p9 ba=bb0 : if (tt>0) t=t+1 if (ex0) ex0=t<mi1 if (bo>bs) u=2*(fn1(t/sfac)) ex0=0 if (ir0) t=0 endif if (d4) z=z*u if (mo) c=0.4*log(sqr(z^mm)) else c=pixel endif else z=pixel cb=p9*u c=p1*u p=pp*u endif tt=tt-1+ex0 endif elseif ((ex1)&&bo>bl) if (bo<bh) d3=dd1 ba=bb1 ab=ab1 ex1=0 tt=tt-1 if (w1) u=2*(fn2(t/ofac)) else u=1,0 endif if (ir1) t=0 endif if (d3) vb=v1j if (rs1) z=pixel cb=p9*u c=p1*u p=pp*u else c=p1 z=z*u cb=p9 endif else vb=v1m if (rs1) c=z*u z=pixel*(sc1+px1) z0=p7*u ph=ph*u else c=z z=z*u endif if (mo1) c=0.4*log(sqr(z^mm)) endif endif endif elseif (ex2) if (dt1) if (iv1) d=bo>bo1 else d=bo<bo1 endif if (bt1) d=d+(t>mi1) endif else d=t>mi1 endif if (d) ab=ab2 d3=dd2 ba=bb2 ex2=0 tt=tt-1 if (w2) u=2*(fn2(t/fac1)) else u=1,0 endif if (ir2) t=0 endif if (d3) vb=v2j if (rs2) z=pixel cb=p9*u c=p1*u p=pp*u else cb=p9 c=p1 z=z*u endif else vb=v2m if (rs2) c=z*u z=pixel*(sc2+px2) z0=p7*u ph=ph*u else c=z z=z*u endif if (mo2) c=0.4*log(sqr(z^mm)) endif endif endif elseif (ex3) if (dt2) if (iv2) d=bo>bo2 else d=bo<bo2 endif if (bt2) d=d+(t>mi2) endif else d=t>mi2 endif if (d) ab=ab3 d3=dd3 ba=bb3 ex3=0 tt=tt-1 if (w3) u=2*(fn3(t/fac2)) else u=1,0 endif if (ir3) t=0 endif if (d3) vb=v3j if (rs3) z=pixel cb=p9*u c=p1*u p=pp*u else cb=p9 c=p1 z=z*u endif else vb=v3m if (rs3) c=z*u z=pixel*(sc3+px3) z0=p7*u ph=ph*u else c=z z=z*u endif vb=v3m if (mo3) c=0.4*log(sqr(z^mm)) endif endif endif elseif (ex4) if (dt3) if (iv3) d=bo>bo3 else d=bo<bo3 endif if (bt3) d=d+(t>mi3) endif else d=t>mi3 endif if (d) ab=ab4 d3=dd4 ba=bb4 ex4=0 tt=0 if (w4) u=2*(fn4(t/fac3)) else u=1,0 endif if (d3) vb=v4j if (rs4) z=pixel cb=p9*u c=p1*u p=pp*u else cb=p9 c=p1 z=z*u endif else vb=v4m if (rs4) c=z*u z=pixel*(sc4+px4) z0=p7*u ph=ph*u else c=z z=z*u endif if (mo4) c=0.4*log(sqr(z^mm)) endif endif endif endif endif if (vb) if (d3) if (ab) if (mag) ;magnet z=((z^x+c-1)/(2*z+c-2))^(x-1) else z=z*z+c ;Spiderjul c=c*sp+z endif else z1=z^p-1 ;newton z2=p*z*z z=z-z1/z2 endif elseif (ab) z1=z*z+0.56+ph/100-0.5*zold ;Phoenix zold=z z=z1 else z2=fn1(z)+c ;Many_mods z1=cos(z2) z=c*(1-z1)/(1+z1) endif elseif (d3) if (ab) if (mow) z1 = z ;manowar oldz = z z = sqr(oldz) + z1 + c z1 = oldz else z2=z*z ;Julia z=z2*z2+p6*z2+c-p0 endif else z1=fn1(z)-cb ;Bees z2=z1^p8-1 z3=p8*(z1^(p8-1)) z=z-(z2/z3) endif elseif (ab) if (dm) z=z*z+c+c*c-dp ;Double Mandel else z2=z*z ;Mandel z=z2*z2+p6*z2+c-p0 endif else z3=z ;Secant z1=z0*z0*z0*z0-1 z2=z*z*z*z-1 z=z-z2*(z-z0)/(z2-z1) z0=z3 endif bo=|z| bo<ba }

1 0

The Big Riddle
by JackOfTradeZ＠comcast.net 23 Dec '13

23 Dec '13

. I see 4 images, rather interesting in themselves (no minis), but what is so special about them? Am I missing something? They look like some of Muth's FOTD in the past. .

2 1

MFR_12 update formulas
by Albrechtx 23 Dec '13

23 Dec '13

HI, I´m back again to present the additional formulas included in Multifractal_12, a Magnet and a Manowar version. The basic images are included in the link from previous posting, but the par files come again, just in case.. ; https://www.dropbox.com/sh/n684kxnlfjok3hz/kRu_1Xt92_ ; Albrecht ; ===================================start paramteers========================= Magnet-1 { ; Magnet exchanges with Spiderjul ; Time 0.01.10.63 ; XP Dos Shell ; 1280/1024 reset=2004 type=formula formulafile=mfr_12.frm formulaname=multifractal_12 function=sin/exp/exp/sin passes=t center-mag=-0.63792367304861340/-0.00030050563199746/54.71281/1/-90/3.88\ 578058618804789e-016 params=-0.05825983458967864/0.3785210730307932/80000.6459570111/14235.49\ 11030602/152048.0404808035/384.1604894022/384.00482000595/256.1007683001\ /512.1007683001/768.1007683001 float=y maxiter=3071 inside=maxiter periodicity=0 rseed=-2436 colors=000FfpAaz<3>PJoSFlWAi_5fc0ce7_jFRoNIzb0zj0000zr0zz1zzC<2>zzz<3>jq\ dfo_blU<3>Mb8<3>LQ8KM8KJ8<2>I88H44G00<3>TA5WD6ZF7aI8eLAhMBiODjQF<3>qeBri\ Atm9vq8xu7zz5zz4zz3<4>zj4zg4zc4<3>zS5zP5zL6zI6zE6wE6tD6<6>vAIv9Kv9M<3>x7\ Sy7Uy6Wz6Yz5_<3>f5Ma5IW4E<2>_4H<3>P3DN2CK2A<3>805G0BO0G<3>g0Ul0Xq0`v0d<2\ >y0fz0gy0h<3>u1mt1ns1or2q<2>v2u<3>c5eZ6`U6X<2>F9LAAG7FO4KW0Qc<3>5Xc6Zc7`\ c7aa7c_7eY<3>FcgHciJbl<3>S_v<3>civflvinvlqvotvsww<2>zzz<3>rwzovzhsw<3>Gc\ h8_d8Xa<3>8JP8FL8CI<3>SCCXCAaB9<3>uA2zA0xA0<12>SA1QA1NA1<3>D92<6>UXAW`BY\ cC<3>hrI<6>Jkg } Manowar-Basic { ; Alternative for Julia ; Time 0.04.18.15 1280/1024 reset=2004 type=formula formulafile=mfr_12.frm formulaname=multifractal_12 function=sin/sin/exp/sin passes=t center-mag=-0.265106/0.00308737/1.645275/1/90/3.88578058618804789e-016 params=1.892178106021302/0.4900357066560869/40000.32595700022/25234.0506\ 020602/152048.0404808025/384.1604894022/384.00482000595/256.1007683/512.\ 1007683001/512.1007683001 float=y maxiter=3072 inside=maxiter logmap=3 periodicity=0 rseed=-2436 colors=000yz1yzC<2>yzz<3>iqdeo_alU<3>Lb8<3>KQ8JM8JJ8<2>H88G44F00<3>SA5VD\ 6YF7`I8dLAgMBhODiQF<3>peBqiAsm9uq8wu7yz5yz4yz3<4>yj4yg4yc4<3>yS5yP5yL6yI\ 6yE6vE6sD6<6>uAIu9Ku9M<3>w7Sx7Ux6Wy6Yy5_<3>e5M`5IV4E<2>Z4H<3>O3DM2CJ2A<3\ >705F0BN0G<3>f0Uk0Xp0`u0d<2>x0fy0gx0h<3>t1ms1nr1oq2q<2>u2u<3>b5eY6`T6X<2\ >E9L9AG6FO3KW0Qc0Sc<3>5Zc6`c6aa6c_6eY<3>EcgGciIbl<3>R_v<3>bivelvhnvkqvnt\ vrww<2>yzz<3>qwznvzgsw<3>Fch7_d7Xa<3>7JP7FL7CI<3>RCCWCA`B9<3>tA2yA0wA0<1\ 2>RA1PA1MA1<3>C92<6>TXAV`BXcC<3>grI<3>TnXQm_MlcIkgEfp9az<3>OJoRFlVAiZ5fb\ 0cd7_iFRnNIyb0yj0000yr0 } frm:multifractal_12 { ;Preliminary! Albrecht Niekamp Dec, 2013 ;P1 spider-julia-seed ;RP2 Left: 5 Digit_Channels: (1)shape (2)out (3)ins_1 (4)ins_2 (5)ins_3 ; Frm: 0_off 1_Secant 2_Mand(2) 3_Bees 4_Jul/Manowar 5_Mmods ; 6_Phoenix 7_Newton 8_Spider/Magnet ; Right: 2 Digit_ManyMods_Number of sides 2 Digit_Phoen 2 Digit_Spid ; 1 Digit_TransReset-Shape: 0_no 1_DblMan 2_Iter 3_both +5_warp ; 4 Digit_TransReset-Ch 2-5: 0_no 1_z 2_Iter 3_both +5_warp ;IP2 Left: 5 Digit_Bailout Number for Channels 1 to 5 ; Right: Variables: 4 Digit_Mand/Jul (2var) 2 Digit_Secant 4 Digit_Bees ;RP3 Left: 2 Digit_Newtonvariable 4 Digits_bailout1 ; Right: 4 Digit_bailout2 4 Digit_bailout3 1 Digit_Magnet 1 Digit_Manowa ;IP3 Left: 4 Digit_Shape: Warp-factor (fn1 is used) ; Right: 4 Digit_bailout4 4 Digit_bailout5 1 digit_mow=2 1 digit_mag=2 ;RP4 Left: 4 Digit_Outside: Warp-factor (fn2 used) ; Right: Outside: 4 Digit+fractdig_Border-out 4 Digit+fractdig_border-in ;IP4 Left: Inside1_Maxiter ; Right: Inside1_Transit: 1_maxit 2_borderout 3_borderin +5_maxit+bord ; 5 Digit_warp factor (fn2 used) 4 Digit+fractaldigit_border1 ;RP5 Left: Inside2_Maxiter ; Right: Inside2_Transit: 1_maxit 2_borderout 3_borderin +5_maxit+bord ; 5 Digit_warp factor (fn3 used) 4 Digit+fractaldigit_border2 ;IP5 Left: Inside3_Maxiter ; Right: Inside3_Transit: 1_maxit 2_borderout 3_borderin +5_maxit+bord ; 5 Digits_Warp factor (fn4 used) 4 Digit+fractaldigit_border3 ;fn(1) shared by many-mods + bees ; z=pixel da=real(p2) dd=trunc(da) tt=dd>0 da=round((da-dd)*100000000000)+11111 dd=dd+11111 d=trunc(dd/10000) dd=dd-d*10000 d3=(d==4)+(d==5)+(d==8)+(d==9) d4=d3==0 vb=d>5 ex0=(d>1) sc=d==2 mo=d==6 px=d==7 ab=px+(d==3)+(d==5)+(d==9) d=trunc(dd/1000) dd=dd-d*1000 ex1=(d>1) sc1=d==2 mo1=d==6 px1=d==7 v1m=mo1+px1 v1j=d>7 dd1=v1j+(d==4)+(d==5) ab1=px1+(d==3)+(d==5)+(d==9) d=trunc(dd/100) dd=dd-d*100 ex2=(d>1) sc2=d==2 mo2=d==6 px2=d==7 v2m=mo2+px2 v2j=d>7 dd2=v2j+(d==4)+(d==5) ab2=px2+(d==3)+(d==5)+(d==9) d=trunc(dd/10) ex3=(d>1) sc3=d==2 mo3=d==6 px3=d==7 v3m=mo3+px3 v3j=d>7 dd3=v3j+(d==4)+(d==5) ab3=px3+(d==3)+(d==5)+(d==9) d=dd-d*10 ba=imag(p5) mi3=trunc(ba) dd=(d>1)+(mi3>1) ex4=(dd==2) sc4=d==2 mo4=d==6 px4=d==7 v4m=mo4+px4 v4j=d>7 dd4=v4j+(d==4)+(d==5) ab4=px4+(d==3)+(d==5)+(d==9) tt=ex1+ex0+ex2+ex3+ex4 ; mm=trunc(da/1000000000) da=da-mm*1000000000 ph=trunc(da/10000000)/100 da=da-ph*1000000000 sp=trunc(da/100000)/100 da=da-sp*10000000 d=trunc(da/10000) dm=(d==2)+(d==4) ir0=(d==3)+(d==4) d=trunc(da/1000) w1=d>4 da=da-d*1000 d=d-5*w1 rs1=(d==2)+(d==4) ir1=(d==3)+(d==4) d=trunc(da/100) w2=d>4 da=da-d*100 d=d-5*w2 rs2=(d==2)+(d==4) ir2=(d==3)+(d==4) d=trunc(da/10) w3=d>4 da=da-d*10 d=d-5*w3 rs3=(d==2)+(d==4) ir3=(d==3)+(d==4) d=round(da) w4=d>4 d=d-5*w4 rs4=(d==2)+(d==4) ; d=real(p3) dd=trunc(d) da=(d-dd)*10000000000 pp=trunc(dd/10000) ba1=dd-10000*pp ba2=trunc(da/1000000) da=da-1000000*ba2 ba3=trunc(da/100) da=da-100*ba3 mg=trunc(da/10) da=da-mg*10 mn=da ; d=imag(p3) sfac=trunc(d) da=trunc((d-sfac)*10000000000) ba4=trunc(da/1000000) da=da-ba4*1000000 ba5=trunc(da/100) da=da-ba5*100 d=trunc(da/10) da=da-d*10 mag=d>1 mow=da>1 ; d=real(p4) ofac=trunc(d) da=(d-ofac)*10000000000 bh=trunc(da/100000)/10 bl=(da-bh*1000000)/10 bs=bl/2 ; d=imag(p2) t=d<0 if (t) d=-d endif dd=trunc(d) da=round((d-dd)*10000000000) d=trunc(dd/10000) dd=dd-d*10000 bb0=ba1*(d==1)+ba2*(d==2)+ba3*(d==3)+ba4*(d==4)+ba5*(d==5) d=trunc(dd/1000) dd=dd-d*1000 bb1=ba1*(d==1)+ba2*(d==2)+ba3*(d==3)+ba4*(d==4)+ba5*(d==5) d=trunc(dd/100) dd=dd-d*100 bb2=ba1*(d==1)+ba2*(d==2)+ba3*(d==3)+ba4*(d==4)+ba5*(d==5) d=trunc(dd/10) dd=dd-d*10 bb3=ba1*(d==1)+ba2*(d==2)+ba3*(d==3)+ba4*(d==4)+ba5*(d==5) d=round(dd) bb4=ba1*(d==1)+ba2*(d==2)+ba3*(d==3)+ba4*(d==4)+ba5*(d==5) ; d=da p0=trunc(d/100000000)/10 d=d-p0*1000000000 p6=trunc(d/1000000)/10 d=d-p6*10000000 if (t) p6=-p6 endif p7=trunc(d/10000)/10 d=d-p7*100000 dp=p6+p0/100 p8=trunc(d/100)/100 d=d-p8*10000 p9=d/100 ; d=imag(p4) mi1=trunc(d) da=(d-mi1)*100000000000 d=trunc(da/10000000000) bt1=d>6 da=da-d*10000000000 d=d-5*bt1 dt1=d>1 iv1=d==3 fac1=trunc(da/100000) da=da-fac1*100000 bo1=(da/100000)/10 ; d=real(p5) mi2=trunc(d) da=(d-mi2)*100000000000 d=trunc(da/10000000000) bt2=d>6 da=da-d*10000000000 d=d-5*bt2 dt2=d>1 iv2=d==3 fac2=trunc(da/100000) da=da-fac2*100000 bo2=(da/100000)/10 ; d=imag(p5) mi3=trunc(d) da=(d-mi3)*100000000000 d=trunc(da/10000000000) bt3=d>6 da=da-d*10000000000 d=d-5*bt3 dt3=d>1 iv3=(d==3) fac3=trunc(da/100000) da=da-fac3*100000 bo3=(da/100000)/10 ; if (vb) if (d3) if (ab) if (mag) c=z z=pixel x=mg x=x+(x==0)*3 ;magnet else z=pixel ;Spider c=p1 endif else z=pixel ;newton c=p1 endif elseif (ab) c=z ;Phoenix z=pixel else c=0.4*log(sqr(z^mm)) ;many mods z=0 endif elseif (d3) if (ab) if (mow) ;manowar mt = (4 * (real(p2)<=0) + real(p2) * (0<p2) ) c=p1 z=pixel else c=p1 ;Julia z=pixel endif else ;bees c=p1 z=pixel endif elseif (ab) c=z ;Mandel z=0 else c=z ;Secant z=pixel endif t=0 bo=|z| p=pp z0=p7 zold=(0.0,0.0) cb=p9 ba=bb0 : if (tt>0) t=t+1 if (ex0) ex0=t<mi1 if (bo>bs) u=2*(fn1(t/sfac)) ex0=0 if (ir0) t=0 endif if (d4) z=z*u if (mo) c=0.4*log(sqr(z^mm)) else c=pixel endif else z=pixel cb=p9*u c=p1*u p=pp*u endif tt=tt-1+ex0 endif elseif ((ex1)&&bo>bl) if (bo<bh) d3=dd1 ba=bb1 ab=ab1 ex1=0 tt=tt-1 if (w1) u=2*(fn2(t/ofac)) else u=1,0 endif if (ir1) t=0 endif if (d3) vb=v1j if (rs1) z=pixel cb=p9*u c=p1*u p=pp*u else c=p1 z=z*u cb=p9 endif else vb=v1m if (rs1) c=z*u z=pixel*(sc1+px1) z0=p7*u ph=ph*u else c=z z=z*u endif if (mo1) c=0.4*log(sqr(z^mm)) endif endif endif elseif (ex2) if (dt1) if (iv1) d=bo>bo1 else d=bo<bo1 endif if (bt1) d=d+(t>mi1) endif else d=t>mi1 endif if (d) ab=ab2 d3=dd2 ba=bb2 ex2=0 tt=tt-1 if (w2) u=2*(fn2(t/fac1)) else u=1,0 endif if (ir2) t=0 endif if (d3) vb=v2j if (rs2) z=pixel cb=p9*u c=p1*u p=pp*u else cb=p9 c=p1 z=z*u endif else vb=v2m if (rs2) c=z*u z=pixel*(sc2+px2) z0=p7*u ph=ph*u else c=z z=z*u endif if (mo2) c=0.4*log(sqr(z^mm)) endif endif endif elseif (ex3) if (dt2) if (iv2) d=bo>bo2 else d=bo<bo2 endif if (bt2) d=d+(t>mi2) endif else d=t>mi2 endif if (d) ab=ab3 d3=dd3 ba=bb3 ex3=0 tt=tt-1 if (w3) u=2*(fn3(t/fac2)) else u=1,0 endif if (ir3) t=0 endif if (d3) vb=v3j if (rs3) z=pixel cb=p9*u c=p1*u p=pp*u else cb=p9 c=p1 z=z*u endif else vb=v3m if (rs3) c=z*u z=pixel*(sc3+px3) z0=p7*u ph=ph*u else c=z z=z*u endif vb=v3m if (mo3) c=0.4*log(sqr(z^mm)) endif endif endif elseif (ex4) if (dt3) if (iv3) d=bo>bo3 else d=bo<bo3 endif if (bt3) d=d+(t>mi3) endif else d=t>mi3 endif if (d) ab=ab4 d3=dd4 ba=bb4 ex4=0 tt=0 if (w4) u=2*(fn4(t/fac3)) else u=1,0 endif if (d3) vb=v4j if (rs4) z=pixel cb=p9*u c=p1*u p=pp*u else cb=p9 c=p1 z=z*u endif else vb=v4m if (rs4) c=z*u z=pixel*(sc4+px4) z0=p7*u ph=ph*u else c=z z=z*u endif if (mo4) c=0.4*log(sqr(z^mm)) endif endif endif endif endif if (vb) if (d3) if (ab) if (mag) ;magnet z=((z^x+c-1)/(2*z+c-2))^(x-1) else z=z*z+c ;Spiderjul c=c*sp+z endif else z1=z^p-1 ;newton z2=p*z*z z=z-z1/z2 endif elseif (ab) z1=z*z+0.56+ph/100-0.5*zold ;Phoenix zold=z z=z1 else z2=fn1(z)+c ;Many_mods z1=cos(z2) z=c*(1-z1)/(1+z1) endif elseif (d3) if (ab) if (mow) z1 = z ;manowar oldz = z z = sqr(oldz) + z1 + c z1 = oldz else z2=z*z ;Julia z=z2*z2+p6*z2+c-p0 endif else z1=fn1(z)-cb ;Bees z2=z1^p8-1 z3=p8*(z1^(p8-1)) z=z-(z2/z3) endif elseif (ab) if (dm) z=z*z+c+c*c-dp ;Double Mandel else z2=z*z ;Mandel z=z2*z2+p6*z2+c-p0 endif else z3=z ;Secant z1=z0*z0*z0*z0-1 z2=z*z*z*z-1 z=z-z2*(z-z0)/(z2-z1) z0=z3 endif bo=|z| bo<ba }

1 0

Colliding Galaxies
by Albrechtx 23 Dec '13

23 Dec '13

HI, this is a first image of the updated multifracal_10 frm. Link included: https://www.dropbox.com/sh/n684kxnlfjok3hz/kRu_1Xt92_ ; Albrecht =================start parameters========================================== Colliding-Galaxies { ; Just an ordinary Julia? ; Preliminary Frm - subject to change ; Time 0.40.35.90 reset=2004 type=formula formulafile=mfr_10.frm formulaname=multifractal_12 function=sin/sin/exp/sin passes=t center-mag=-0.0488407/0.00308737/1.645275/1/-90/3.88578058618804789e-016 params=0.9114658040101321/0.06738486892300181/40000.32595700022/25234.05\ 06020602/152048.0404808025/384.1604894022/384.00482000595/256.1007683/51\ 2.1007683001/512.1007683001 float=y maxiter=3072 inside=maxiter logmap=3 periodicity=0 rseed=-2436 colors=000yz1yzC<2>yzz<3>iqdeo_alU<3>Lb8<3>KQ8JM8JJ8<2>H88G44F00<3>SA5VD\ 6YF7`I8dLAgMBhODiQF<3>peBqiAsm9uq8wu7yz5yz4yz3<4>yj4yg4yc4<3>yS5yP5yL6yI\ 6yE6vE6sD6<6>uAIu9Ku9M<3>w7Sx7Ux6Wy6Yy5_<3>e5M`5IV4E<2>Z4H<3>O3DM2CJ2A<3\ >705F0BN0G<3>f0Uk0Xp0`u0d<2>x0fy0gx0h<3>t1ms1nr1oq2q<2>u2u<3>b5eY6`T6X<2\ >E9L9AG6FO3KW0Qc0Sc<3>5Zc6`c6aa6c_6eY<3>EcgGciIbl<3>R_v<3>bivelvhnvkqvnt\ vrww<2>yzz<3>qwznvzgsw<3>Fch7_d7Xa<3>7JP7FL7CI<3>RCCWCA`B9<3>tA2yA0wA0<1\ 2>RA1PA1MA1<3>C92<6>TXAV`BXcC<3>grI<3>TnXQm_MlcIkgEfp9az<3>OJoRFlVAiZ5fb\ 0cd7_iFRnNIyb0yj0000yr0 } FRM:multifractal_12 {;Preliminary Version - Albrecht Niekamp Dec, 2013 ;P1 spider-julia-seed ;RP2 Left: 5 Digit_Channels: (1)shape (2)out (3)ins_1 (4)ins_2 (5)ins_3 ; Frm: 0_off 1_Secant 2_Mand(2) 3_Bees 4_Jul/Manowar 5_Mmods ; 6_Phoenix 7_Newton 8_Spider/Magnet ; Right: 2 Digit_ManyMods_Number of sides 2 Digit_Phoen 2 Digit_Spid ; 1 Digit_TransReset-Shape: 0_no 1_DblMan 2_Iter 3_both +5_warp ; 4 Digit_TransReset-Ch 2-5: 0_no 1_z 2_Iter 3_both +5_warp ;IP2 Left: 5 Digit_Bailout Number for Channels 1 to 5 ; Right: Variables: 4 Digit_Mand/Jul (2var) 2 Digit_Secant 4 Digit_Bees ;RP3 Left: 2 Digit_Newtonvariable 4 Digits_bailout1 ; Right: 4 Digit_bailout2 4 Digit_bailout3 1 Digit_Magnet 1 Digit_Manowa ;IP3 Left: 4 Digit_Shape: Warp-factor (fn1 is used) ; Right: 4 Digit_bailout4 4 Digit_bailout5 1 digit_mag=2 1 digit_mow=2 ;RP4 Left: 4 Digit_Outside: Warp-factor (fn2 used) ; Right: Outside: 4 Digit+fractdig_Border-out 4 Digit+fractdig_border-in ;IP4 Left: Inside1_Maxiter ; Right: Inside1_Transit: 1_maxit 2_borderout 3_borderin +5_maxit+bord ; 5 Digit_warp factor (fn2 used) 4 Digit+fractaldigit_border1 ;RP5 Left: Inside2_Maxiter ; Right: Inside2_Transit: 1_maxit 2_borderout 3_borderin +5_maxit+bord ; 5 Digit_warp factor (fn3 used) 4 Digit+fractaldigit_border2 ;IP5 Left: Inside3_Maxiter ; Right: Inside3_Transit: 1_maxit 2_borderout 3_borderin +5_maxit+bord ; 5 Digits_Warp factor (fn4 used) 4 Digit+fractaldigit_border3 ;fn(1) shared by many-mods + bees ; z=pixel da=real(p2) dd=trunc(da) tt=dd>0 da=round((da-dd)*100000000000)+11111 dd=dd+11111 d=trunc(dd/10000) dd=dd-d*10000 d3=(d==4)+(d==5)+(d==8)+(d==9) d4=d3==0 vb=d>5 ex0=(d>1) sc=d==2 mo=d==6 px=d==7 ab=px+(d==3)+(d==5)+(d==9) d=trunc(dd/1000) dd=dd-d*1000 ex1=(d>1) sc1=d==2 mo1=d==6 px1=d==7 v1m=mo1+px1 v1j=d>7 dd1=v1j+(d==4)+(d==5) ab1=px1+(d==3)+(d==5)+(d==9) d=trunc(dd/100) dd=dd-d*100 ex2=(d>1) sc2=d==2 mo2=d==6 px2=d==7 v2m=mo2+px2 v2j=d>7 dd2=v2j+(d==4)+(d==5) ab2=px2+(d==3)+(d==5)+(d==9) d=trunc(dd/10) ex3=(d>1) sc3=d==2 mo3=d==6 px3=d==7 v3m=mo3+px3 v3j=d>7 dd3=v3j+(d==4)+(d==5) ab3=px3+(d==3)+(d==5)+(d==9) d=dd-d*10 ba=imag(p5) mi3=trunc(ba) dd=(d>1)+(mi3>1) ex4=(dd==2) sc4=d==2 mo4=d==6 px4=d==7 v4m=mo4+px4 v4j=d>7 dd4=v4j+(d==4)+(d==5) ab4=px4+(d==3)+(d==5)+(d==9) tt=ex1+ex0+ex2+ex3+ex4 ; mm=trunc(da/1000000000) da=da-mm*1000000000 ph=trunc(da/10000000)/100 da=da-ph*1000000000 sp=trunc(da/100000)/100 da=da-sp*10000000 d=trunc(da/10000) dm=(d==2)+(d==4) ir0=(d==3)+(d==4) d=trunc(da/1000) w1=d>4 da=da-d*1000 d=d-5*w1 rs1=(d==2)+(d==4) ir1=(d==3)+(d==4) d=trunc(da/100) w2=d>4 da=da-d*100 d=d-5*w2 rs2=(d==2)+(d==4) ir2=(d==3)+(d==4) d=trunc(da/10) w3=d>4 da=da-d*10 d=d-5*w3 rs3=(d==2)+(d==4) ir3=(d==3)+(d==4) d=round(da) w4=d>4 d=d-5*w4 rs4=(d==2)+(d==4) ; d=real(p3) dd=trunc(d) da=(d-dd)*10000000000 pp=trunc(dd/10000) ba1=dd-10000*pp ba2=trunc(da/1000000) da=da-1000000*ba2 ba3=trunc(da/100) da=da-100*ba3 mg=trunc(da/10) da=da-mg*10 mn=da ; d=imag(p3) sfac=trunc(d) da=(d-sfac)*10000000000 ba4=trunc(da/1000000) da=da-ba4*1000000 ba5=trunc(da/100) da=da-ba5*100 d=trunc(da/10) da=da-d*10 mow=d<1 mag=da>1 ; d=real(p4) ofac=trunc(d) da=(d-ofac)*10000000000 bh=trunc(da/100000)/10 bl=(da-bh*1000000)/10 bs=bl/2 ; d=imag(p2) t=d<0 if (t) d=-d endif dd=trunc(d) da=round((d-dd)*10000000000) d=trunc(dd/10000) dd=dd-d*10000 bb0=ba1*(d==1)+ba2*(d==2)+ba3*(d==3)+ba4*(d==4)+ba5*(d==5) d=trunc(dd/1000) dd=dd-d*1000 bb1=ba1*(d==1)+ba2*(d==2)+ba3*(d==3)+ba4*(d==4)+ba5*(d==5) d=trunc(dd/100) dd=dd-d*100 bb2=ba1*(d==1)+ba2*(d==2)+ba3*(d==3)+ba4*(d==4)+ba5*(d==5) d=trunc(dd/10) dd=dd-d*10 bb3=ba1*(d==1)+ba2*(d==2)+ba3*(d==3)+ba4*(d==4)+ba5*(d==5) d=round(dd) bb4=ba1*(d==1)+ba2*(d==2)+ba3*(d==3)+ba4*(d==4)+ba5*(d==5) ; d=da p0=trunc(d/100000000)/10 d=d-p0*1000000000 p6=trunc(d/1000000)/10 d=d-p6*10000000 if (t) p6=-p6 endif p7=trunc(d/10000)/10 d=d-p7*100000 dp=p6+p0/100 p8=trunc(d/100)/100 d=d-p8*10000 p9=d/100 ; d=imag(p4) mi1=trunc(d) da=(d-mi1)*100000000000 d=trunc(da/10000000000) bt1=d>6 da=da-d*10000000000 d=d-5*bt1 dt1=d>1 iv1=d==3 fac1=trunc(da/100000) da=da-fac1*100000 bo1=(da/100000)/10 ; d=real(p5) mi2=trunc(d) da=(d-mi2)*100000000000 d=trunc(da/10000000000) bt2=d>6 da=da-d*10000000000 d=d-5*bt2 dt2=d>1 iv2=d==3 fac2=trunc(da/100000) da=da-fac2*100000 bo2=(da/100000)/10 ; d=imag(p5) mi3=trunc(d) da=(d-mi3)*100000000000 d=trunc(da/10000000000) bt3=d>6 da=da-d*10000000000 d=d-5*bt3 dt3=d>1 iv3=(d==3) fac3=trunc(da/100000) da=da-fac3*100000 bo3=(da/100000)/10 ; if (vb) if (d3) if (ab) if (mag) c=z z=pixel x=mg x=x+(x==0)*3 ;magnet else z=pixel ;Spider c=p1 endif else z=pixel ;newton c=p1 endif elseif (ab) c=z ;Phoenix z=pixel else c=0.4*log(sqr(z^mm)) ;many mods z=0 endif elseif (d3) if (ab) if (mow) ;manowar mt=4 mt = (4 * (real(p2)<=0) + real(p2) * (0<p2) ) c=mn z=pixel else c=p1 ;Julia z=pixel endif else ;bees c=p1 z=pixel endif elseif (ab) c=z ;Mandel z=0 else c=z ;Secant z=pixel endif t=0 bo=|z| p=pp z0=p7 zold=(0.0,0.0) cb=p9 ba=bb0 : if (tt>0) t=t+1 if (ex0) ex0=t<mi1 if (bo>bs) u=2*(fn1(t/sfac)) ex0=0 if (ir0) t=0 endif if (d4) z=z*u if (mo) c=0.4*log(sqr(z^mm)) else c=pixel endif else z=pixel cb=p9*u c=p1*u p=pp*u endif tt=tt-1+ex0 endif elseif ((ex1)&&bo>bl) if (bo<bh) d3=dd1 ba=bb1 ab=ab1 ex1=0 tt=tt-1 if (w1) u=2*(fn2(t/ofac)) else u=1,0 endif if (ir1) t=0 endif if (d3) vb=v1j if (rs1) z=pixel cb=p9*u c=p1*u p=pp*u else c=p1 z=z*u cb=p9 endif else vb=v1m if (rs1) c=z*u z=pixel*(sc1+px1) z0=p7*u ph=ph*u else c=z z=z*u endif if (mo1) c=0.4*log(sqr(z^mm)) endif endif endif elseif (ex2) if (dt1) if (iv1) d=bo>bo1 else d=bo<bo1 endif if (bt1) d=d+(t>mi1) endif else d=t>mi1 endif if (d) ab=ab2 d3=dd2 ba=bb2 ex2=0 tt=tt-1 if (w2) u=2*(fn2(t/fac1)) else u=1,0 endif if (ir2) t=0 endif if (d3) vb=v2j if (rs2) z=pixel cb=p9*u c=p1*u p=pp*u else cb=p9 c=p1 z=z*u endif else vb=v2m if (rs2) c=z*u z=pixel*(sc2+px2) z0=p7*u ph=ph*u else c=z z=z*u endif if (mo2) c=0.4*log(sqr(z^mm)) endif endif endif elseif (ex3) if (dt2) if (iv2) d=bo>bo2 else d=bo<bo2 endif if (bt2) d=d+(t>mi2) endif else d=t>mi2 endif if (d) ab=ab3 d3=dd3 ba=bb3 ex3=0 tt=tt-1 if (w3) u=2*(fn3(t/fac2)) else u=1,0 endif if (ir3) t=0 endif if (d3) vb=v3j if (rs3) z=pixel cb=p9*u c=p1*u p=pp*u else cb=p9 c=p1 z=z*u endif else vb=v3m if (rs3) c=z*u z=pixel*(sc3+px3) z0=p7*u ph=ph*u else c=z z=z*u endif vb=v3m if (mo3) c=0.4*log(sqr(z^mm)) endif endif endif elseif (ex4) if (dt3) if (iv3) d=bo>bo3 else d=bo<bo3 endif if (bt3) d=d+(t>mi3) endif else d=t>mi3 endif if (d) ab=ab4 d3=dd4 ba=bb4 ex4=0 tt=0 if (w4) u=2*(fn4(t/fac3)) else u=1,0 endif if (d3) vb=v4j if (rs4) z=pixel cb=p9*u c=p1*u p=pp*u else cb=p9 c=p1 z=z*u endif else vb=v4m if (rs4) c=z*u z=pixel*(sc4+px4) z0=p7*u ph=ph*u else c=z z=z*u endif if (mo4) c=0.4*log(sqr(z^mm)) endif endif endif endif endif if (vb) if (d3) if (ab) if (mag) ;magnet z=((z^x+c-1)/(2*z+c-2))^(x-1) else z=z*z+c ;Spiderjul c=c*sp+z endif else z1=z^p-1 ;newton z2=p*z*z z=z-z1/z2 endif elseif (ab) z1=z*z+0.56+ph/100-0.5*zold ;Phoenix zold=z z=z1 else z2=fn1(z)+c ;Many_mods z1=cos(z2) z=c*(1-z1)/(1+z1) endif elseif (d3) if (ab) if (mow) z1 = z ;manowar oldz = z z = sqr(oldz) + z1 + c z1 = oldz else z2=z*z ;Julia z=z2*z2+p6*z2+c-p0 endif else z1=fn1(z)-cb ;Bees z2=z1^p8-1 z3=p8*(z1^(p8-1)) z=z-(z2/z3) endif elseif (ab) if (dm) z=z*z+c+c*c-dp ;Double Mandel else z2=z*z ;Mandel z=z2*z2+p6*z2+c-p0 endif else z3=z ;Secant z1=z0*z0*z0*z0-1 z2=z*z*z*z-1 z=z-z2*(z-z0)/(z2-z1) z0=z3 endif bo=|z| bo<ba }

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FOTD 22-12-13 (Minibrot Afire[A-6,M-6])
by Jim Muth 23 Dec '13

23 Dec '13

FOTD -- December 22, 2013 (Rating A-6,M-6) Fractal visionaries and enthusiasts: Today's moderately impressive venture into the land of fractals came about when I calculated the Z^(1.618034)+C parent fractal at a point 3 levels up the hyperladder. This parent consists of a twisted main bay with its main period-2 bud facing southeast. A field of debris lies on the northern edge of the main bay, with today's scene located in the outer part of this debris. The name "Minibrot Afire" refers to the fiery reds and yellows surrounding the central minibrot, where they create a small but impressive effect. The rating of a double 6 indicates that the image will set no new standards of quality, but like all fractals, it pictures something never before seen, making its viewing a first-in-a-life experience. The time required to experience this thrill is a not-too- expensive 2-1/4 minutes. A quicker thrill may be experienced by checking the finished image and its variations on the FOTD web sites. Satisfy your thirst for a view of the finished image 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> Today's record warm temperature of 66F 19C made it feel more like the middle of spring than the start of winter, while the clouds brought in moisture that gave a dose of midsummer humidity. The fractal cats were more concerned with the decorations than with the outside conditions. The fractal humans spent the day doing human things. The next FOTD will be posted in four days on December 26. Until then, take care, and we hear so much about the real meaning of Christmas, yet so little agreement about what that real meaning might be. To me, the real meaning will be revealed when an Atheist, a Pagan, a Mystic and a born-again Christian can all agree on and sincerely believe the same meaning. (BTW, I do not expect to live to see such agreement.) Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Minibrot_Afire { ; time=0:02:15.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=MandelbrotBC3 function=ident passes=1 center-mag=-0.5616424826528653/+1.134275857078414/\ 3.89796e+009/1/97.5/0 params=1.618034/0/3/0 float=y maxiter=2500 inside=0 logmap=221 periodicity=6 colors=000J1AK2AJ3AI4AI5AH5AH5AG59G48F47F47E47E47D\ 46D36C36C36B35B35A35A35924824824723723623613512512\ 412412311301201201100100000zzcst0pt0im0WY0LN0ED076\ 1nojlmhjkfhiefgcefacd`abZ_`YZZWXYUVWTTURSSPQQOOPMM\ NLLLJJJHHHGFGEEECCCBAA9888776554333111mmzmmzmmzmmz\ mmzmmzmmzk9elAhmAjmBlnBooCqoCsmBqlBpkBojAmhAlgAkfA\ ie9hc9gb9ea8d`8cZ8aY8`X7_W7YU7XT6WS6UR6TQ6SO5QN5PM\ 5OL4MJ4LI4KH4IG3HE3GD3EC2DB2C92A829718616415304323\ 202101fPWeOVdNUcNTbMTaMS`LR_LQZKQYJPXJOWIOVINUHMTH\ LSGLRFKQFJPEIOEINDHMDGLCGKBFJBEIADHADG9CF9BE8AD7AC\ 79B68A68957856745635534423322212111000CPyBOvBNtAMr\ ALpAKn9Kl9Jj8Ih8Hf8Gd7Fb7F`6EZ6DX6CV5BS5AQ4AO49M48\ K37I36G25E25C24A138126014002z35z24z24z23z13z12z12z\ 11z01z00z00qcfocdncclcbkcajc`mz_mzZmzYmzXmzVmzUmzT\ mzSzzRzzQzzPzzOzzNzzMzzKzzJzzIzzHzzGzzFzzzzzzzzzzz\ 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 20-12-13 (Missing Seahorses [A-7,M-8])
by Jim Muth 20 Dec '13

20 Dec '13

FOTD -- December 20, 2013 (Rating A-7,M-8) Fractal visionaries and enthusiasts: In yesterday's image we checked the ersatz East Valley of the parent Zexpe fractal; in today's image we check the ersatz Seahorse Valley. We certainly do find a lot of broken seahorse tails there, but few intact seahorses. This lack of seahorses is the inspiration for the name "Missing Seahorses". But who needs whole seahorses when their dismembered tails make an image with an art rating of a 7 despite the preponderance of brownish and reddish hues? The somewhat liberal math rating of an 8 is based on the minibrot at the center, which is the mirror image of the parent fractal and has the pathological growth on the southeast side of the main bay rather than the southwest side. This is the first time I have noticed this relation, but certainly not the first time it has happened. The calculation time of 7-1/2 minutes is slow, and I'm not sure the image is worth it, but the FOTD web sites are always ready to cure the problem of slowness. The completed image is posted 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 skies and occasional sprinkles of rain made today far less than ideal here at Fractal Central, though the temperature of 43F +6C kept the outdoors reasonably comfortable. The fractal cats were too busy keeping an eye on each other to notice what was happening outside. The humans kept themselves busy making final preparations for the big day. The next FOTD will be posted in a number of hours. To find out the exact number, check here every few hours. Until whenever, take care, and everyone has the freedom to speak his mind and the freedom to disagree with the spoken opinions of others. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Missing_Seahorses { ; time=0:07:30.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=MandelbrotBC3 function=ident passes=t center-mag=+0.08486949666/+0.761618516836/735760/1\ /-35/0 params=2.71828182845905/0/0/0 float=y maxiter=21000 inside=0 logmap=-626 periodicity=6 colors=000000300800C00C00F10F20F30H40L50O60O70S91U\ C2WE3XF4_G5bH6eI7hLBkPFnUKqZPtaUwdZzgczjezmgzpiA0E\ A0FA2FAAGA1GAAHA4IAAiAAiA3JAA6AALAAYAAXAAaAAYCAdD7\ dEFbFKmGLmDCm9Lz6Lz7Kz8Uz9UzAUmBUjCUhDUeEUcFU`GUZH\ UWHUUIcSJcPKcNLcKMcINcFOcDPcAQj8Wh0bm3`m1cm8amE_zK\ ZzQYzWXzaWzgVziUzkQzmNzoJzrGztCzv9zx6zzUzYpz6pk7pl\ 7pm7pn8po8pp8pp9pq9pr9psAptApuApuAhtBatCVsCzszzrzz\ rzznJzmLzmNzmOzmQzlRzlTzlUzlWzlYzkZzk`zkazzzzzzzzz\ zzzzzzzzzzzzzzzhzzfzzczzazz_zzYzzVzzTzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzVzzYzz`zzczzf\ zzhzzkzznzzqzztzzwzzyzzvzzszzqzznzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzQzzUzzYzzazzezziz\ zlzzGzzGzzGzzGzzGzzUzzgzzuzvvzuvzuvztvztvztvzsvzsv\ zrvzrvzrzzqzzqzzqzzrzzszzszztzztzzuzzvzzvzzwzzwzzz\ 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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The Big Riddle
by Albrechtx 20 Dec '13

20 Dec '13

HI, this one really gets me. Deleted everything the software could use as input, also "Inside3 - which was theoretical anyway - and the double mandel command which haas no effect if the mandel frm is not chosen. Now as zero frms are chosen, all reset comands are invalid and do not show. Nevertheless a good fractal image turns up, showing structures I´ve never seen before. What is it I have found? Here is the link with the experimental frm and two images, second one is a zoom number 4 ist from the first series with mandel as inside3. https://www.dropbox.com/sh/0g96upxjx4tga9l/LLM-_0-v1V Albrecht

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Two Experimantal Images
by Albrechtx 20 Dec '13

20 Dec '13

Sorry there was a small error in the frm: change line 3 of the test as follows: from: da=real(p2) into: da=real(p2)-1000000 Albrecht

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Experimental Images
by Albrechtx 20 Dec '13

20 Dec '13

HI, these are 2 experimental images that I think must be shared. They came about writing and testing the updated MFR-10 frm. As you can see from the PAR there is no input frm except mandel as inside3 but inside of what??? Looking forward to any suggestions of analyzings from the experts. The second image is a maximum zoomout. Albrecht =============start parameter ============================================= Eperiment-2 { ; Fractint Version 2004 Patchlevel 11 ; FRM unknown -created by the software ; apperently using calculation rules ; without traceable input reset=2004 type=formula formulafile=mfr_12.frm formulaname=multifractal_12 function=sin/sin/exp/sin passes=t center-mag=-0.51862442788440650/-0.14562203733476600/26.64799/1/133.1388\ 13596081661/-1.2762218949139712 params=-0.05825983458967864/0.3785210730307932/1000002.3259571/15234.050\ 6030602/152048.0404808048/384.1604894048/384.00482000595/256.1007683/512\ .1007683001/512.1007683001 float=y maxiter=3072 inside=maxiter logmap=4 periodicity=0 rseed=-2436 colors=000zr0zz1zzC<2>zzz<3>jqdfo_blU<3>Mb8<3>LQ8KM8KJ8<2>I88H44G00<3>TA\ 5WD6ZF7aI8eLAhMBiODjQF<3>qeBriAtm9vq8xu7zz5zz4zz3<4>zj4zg4zc4<3>zS5zP5zL\ 6zI6zE6wE6tD6<6>vAIv9Kv9M<3>x7Sy7Uy6Wz6Yz5_<3>f5Ma5IW4E<2>_4H<3>P3DN2CK2\ A<3>805G0BO0G<3>g0Ul0Xq0`v0d<2>y0fz0gy0h<3>u1mt1ns1or2q<2>v2u<3>c5eZ6`U6\ X<2>F9LAAG7FO4KW0Qc<3>5Xc6Zc7`c7aa7c_7eY<3>FcgHciJbl<3>S_v<3>civflvinvlq\ votvsww<2>zzz<3>rwzovzhsw<3>Gch8_d8Xa<3>8JP8FL8CI<4>XCAaB9fB7<3>zA0<13>S\ A1QA1NA1<3>D92<6>UXAW`BYcC<3>hrI<3>UnXRm_NlcJkgFfpAaz<3>PJoSFlWAi_5fc0ce\ 7_jFRoNIzb0zj0000 } Eperiment-3 { ; Fractint Version 2004 Patchlevel 11 ; FRM unknown -created by the software ; apperently using calculation rules ; without traceable input reset=2004 type=formula formulafile=mfr_12.frm formulaname=multifractal_12 function=sin/sin/exp/sin passes=t center-mag=-0.52844209144796770/-0.14380698937523510/225.5329/1/128.1486\ 20333067299/-1.29332959385084645 params=-0.05825983458967864/0.3785210730307932/1000002.3259571/15234.050\ 6030602/152048.0404808048/384.1604894048/384.00482000595/256.1007683/512\ .1007683001/512.1007683001 float=y maxiter=3072 inside=maxiter logmap=4 periodicity=0 rseed=-2436 colors=000zr0zz1zzC<2>zzz<3>jqdfo_blU<3>Mb8<3>LQ8KM8KJ8<2>I88H44G00<3>TA\ 5WD6ZF7aI8eLAhMBiODjQF<3>qeBriAtm9vq8xu7zz5zz4zz3<4>zj4zg4zc4<3>zS5zP5zL\ 6zI6zE6wE6tD6<6>vAIv9Kv9M<3>x7Sy7Uy6Wz6Yz5_<3>f5Ma5IW4E<2>_4H<3>P3DN2CK2\ A<3>805G0BO0G<3>g0Ul0Xq0`v0d<2>y0fz0gy0h<3>u1mt1ns1or2q<2>v2u<3>c5eZ6`U6\ X<2>F9LAAG7FO4KW0Qc<3>5Xc6Zc7`c7aa7c_7eY<3>FcgHciJbl<3>S_v<3>civflvinvlq\ votvsww<2>zzz<3>rwzovzhsw<3>Gch8_d8Xa<3>8JP8FL8CI<4>XCAaB9fB7<3>zA0<13>S\ A1QA1NA1<3>D92<6>UXAW`BYcC<3>hrI<3>UnXRm_NlcJkgFfpAaz<3>PJoSFlWAi_5fc0ce\ 7_jFRoNIzb0zj0000 } frm:multifractal_12 { ; Experimental - for testing only -Albrecht Niekamp Dec, 2013 ;P1 spider-julia-seed ;RP2 Left: 5 Digit_Channels: (1)shape (2)out (3)ins_1 (4)ins_2 (5)ins_3 ; Frm: 0_off 1_Secant 2_Mand(2) 3_Bees 4_Jul 5_Mmods ; 6_Phoenix 7_Newton 8 Spider ; Right: 2 Digit_ManyMods_Number of sides 2 Digit_Phoen 2 Digit_Spid ; 1 Digit_TransReset-Shape: 0_no 1_DblMan 2_Iter 3_both +5_warp ; 4 Digit_TransReset-Ch 2-5: 0_no 1_z 2_Iter 3_both +5_warp ;IP2 Left: 5 Digit_Bailout Number for Channels 1 to 5 ; Right: Variables: 4 Digit_Mand/Jul (2var) 2 Digit_Secant 4 Digit_Bees ;RP3 Left: 2 Digit_Newtonvariable 4 Digits_bailout1 ; Right: 4 Digit_bailout2 4 Digit_bailout3 1 Digit_Magnet 1 Digit_Manowa ;IP3 Left: Shape: Warp-factor (fn1 is used) ; Right: 4 Digit_bailout4 4 Digit_bailout5 1 digit_magfrm 1 digit_mowfrm ;RP4 Left: Outside: Warp-factor (fn2 used) ; Right: Outside: 4 Digit+fractdig_Border-out 4 Digit+fractdig_border-in ;IP4 Left: Inside1_Maxiter ; Right: Inside1_Transit: 1_maxit 2_borderout 3_borderin +5_maxit+bord ; 5 Digit_warp factor (fn2 used) 4 Digit+fractaldigit_border1 ;RP5 Left: Inside2_Maxiter ; Right: Inside2_Transit: 1_maxit 2_borderout 3_borderin +5_maxit+bord ; 5 Digit_warp factor (fn3 used) 4 Digit+fractaldigit_border2 ;IP5 Left: Inside3_Maxiter ; Right: Inside3_Transit: 1_maxit 2_borderout 3_borderin +5_maxit+bord ; 5 Digits_Warp factor (fn4 used) 4 Digit+fractaldigit_border3 ;fn(1) shared by many-mods + bees ; le=0 z=pixel da=real(p2) dd=trunc(da) da=round((da-dd)*100000000000)+11111 dd=dd+11111 d=trunc(dd/10000) dd=dd-d*10000 d3=(d==4)+(d==5)+(d==8)+(d==9) d4=d3==0 vb=d>5 sc=d==2 mo=d==6 px=d==7 ab=px+(d==3)+(d==5)+(d==9) d=trunc(dd/1000) dd=dd-d*1000 ex1=d>1 sc1=d==2 mo1=d==6 px1=d==7 v1m=mo1+px1 v1j=d>7 dd1=v1j+(d==4)+(d==5) ab1=px1+(d==3)+(d==5)+(d==9) d=trunc(dd/100) dd=dd-d*100 ex2=d>1 sc2=d==2 mo2=d==6 px2=d==7 v2m=mo2+px2 v2j=d>7 dd2=v2j+(d==4)+(d==5) ab2=px2+(d==3)+(d==5)+(d==9) d=trunc(dd/10) ex3=d>1 sc3=d==2 mo3=d==6 px3=d==7 v3m=mo3+px3 v3j=d>7 dd3=v3j+(d==4)+(d==5) ab3=px3+(d==3)+(d==5)+(d==9) d=dd-d*10 ba=imag(p5) mi3=trunc(ba) dd=(d>1)+(mi3>1) ex4=dd==2 sc4=d==2 mo4=d==6 px4=d==7 v4m=mo4+px4 v4j=d>7 dd4=v4j+(d==4)+(d==5) ab4=px4+(d==3)+(d==5)+(d==9) ; mm=trunc(da/1000000000) da=da-mm*1000000000 ph=trunc(da/10000000)/100 da=da-ph*1000000000 sp=trunc(da/100000)/100 da=da-sp*10000000 d=trunc(da/10000) ex0=d>4 da=da-d*10000 d=d-5*ex0 dm=(d==2)+(d==4) ir0=(d==3)+(d==4) d=trunc(da/1000) w1=d>4 da=da-d*1000 d=d-5*w1 rs1=(d==2)+(d==4) ir1=(d==3)+(d==4) d=trunc(da/100) w2=d>4 da=da-d*100 d=d-5*w2 rs2=(d==2)+(d==4) ir2=(d==3)+(d==4) d=trunc(da/10) w3=d>4 da=da-d*10 d=d-5*w3 rs3=(d==2)+(d==4) ir3=(d==3)+(d==4) d=round(da) w4=d>4 d=d-5*w4 rs4=(d==2)+(d==4) tt=ex1+ex0+ex2+ex3+ex4 ; d=real(p3) dd=trunc(d) da=(d-dd)*10000000000 pp=trunc(dd/10000) ba1=dd-10000*pp ba2=trunc(da/100000) ba3=da-100000*ba2 ; d=imag(p3) sfac=trunc(d) da=(d-sfac)*100000000000 ba4=trunc(da/1000000) ba5=da-ba4*1000000 ; d=real(p4) ofac=trunc(d) da=(d-ofac)*10000000000 bh=trunc(da/100000)/10 bl=(da-bh*1000000)/10 bs=bl/2 ; d=imag(p2) t=d<0 if (t) d=-d endif dd=trunc(d) da=round((d-dd)*10000000000) d=trunc(dd/10000) dd=dd-d*10000 bb0=ba1*(d==1)+ba2*(d==2)+ba3*(d==3)+ba4*(d==4)+ba5*(d==5) d=trunc(dd/1000) dd=dd-d*1000 bb1=ba1*(d==1)+ba2*(d==2)+ba3*(d==3)+ba4*(d==4)+ba5*(d==5) d=trunc(dd/100) dd=dd-d*100 bb2=ba1*(d==1)+ba2*(d==2)+ba3*(d==3)+ba4*(d==4)+ba5*(d==5) d=trunc(dd/10) dd=dd-d*10 bb3=ba1*(d==1)+ba2*(d==2)+ba3*(d==3)+ba4*(d==4)+ba5*(d==5) d=round(dd) bb4=ba1*(d==1)+ba2*(d==2)+ba3*(d==3)+ba4*(d==4)+ba5*(d==5) ; d=da p0=trunc(d/100000000)/10 d=d-p0*1000000000 p6=trunc(d/1000000)/10 d=d-p6*10000000 if (t) p6=-p6 endif p7=trunc(d/10000)/10 d=d-p7*100000 dp=p6+p0/100 p8=trunc(d/100)/100 d=d-p8*10000 p9=d/100 ; d=imag(p4) mi1=trunc(d) da=(d-mi1)*100000000000 d=trunc(da/10000000000) bt1=d>6 da=da-d*10000000000 d=d-5*bt1 dt1=d>1 iv1=d==3 fac1=trunc(da/100000) da=da-fac1*100000 bo1=(da/100000)/10 ; d=real(p5) mi2=trunc(d) da=(d-mi2)*100000000000 d=trunc(da/10000000000) bt2=d>6 da=da-d*10000000000 d=d-5*bt2 dt2=d>1 iv2=d==3 fac2=trunc(da/100000) da=da-fac2*100000 bo2=(da/100000)/10 ; d=imag(p5) mi3=trunc(d) da=(d-mi3)*100000000000 d=trunc(da/10000000000) bt3=d>6 da=da-d*10000000000 d=d-5*bt3 dt3=d>1 iv3=(d==3) fac3=trunc(da/100000) da=da-fac3*100000 bo3=(da/100000)/10 ; if (vb) if (d3) if (ab) z=pixel ;Spider c=p1 else z=pixel c=p1 ;newton endif elseif (ab) c=z ;Phoenix z=pixel else c=0.4*log(sqr(z^mm)) ;many mods z=0 endif elseif (d3) if (ab) c=p1 ;Julia z=pixel else ;bees c=p1 z=pixel endif elseif (ab) c=z ;Mandel z=0 else c=z ;Secant z=pixel endif t=0 bo=|z| p=pp z0=p7 zold=(0.0,0.0) cb=p9 ba=bb0 : if (tt) t=t+1 if (ex0) ex0=t<mi1 if (bo>bs) u=2*(fn1(t/sfac)) ex0=0 if (ir0) t=0 endif if (d4) z=z*u if (mo) c=0.4*log(sqr(z^mm)) else c=pixel endif else z=pixel cb=p9*u c=p1*u p=pp*u endif tt=tt-1+ex0 endif elseif ((ex1)&&bo>bl) if (bo<bh) d3=dd1 ba=bb1 ab=ab1 ex1=0 tt=tt-1 if (w1) u=2*(fn2(t/ofac)) else u=1,0 endif if (ir1) t=0 endif if (d3) vb=v1j if (rs1) z=pixel cb=p9*u c=p1*u p=pp*u else c=p1 z=z*u cb=p9 endif else vb=v1m if (rs1) c=z*u z=pixel*(sc1+px1) z0=p7*u ph=ph*u else c=z z=z*u endif if (mo1) c=0.4*log(sqr(z^mm)) endif endif endif elseif (ex2) if (dt1) if (iv1) d=bo>bo1 else d=bo<bo1 endif if (bt1) d=d+(t>mi1) endif else d=t>mi1 endif if (d) ab=ab2 d3=dd2 ba=bb2 ex2=0 tt=tt-1 if (w2) u=2*(fn2(t/fac1)) else u=1,0 endif if (ir2) t=0 endif if (d3) vb=v2j if (rs2) z=pixel cb=p9*u c=p1*u p=pp*u else cb=p9 c=p1 z=z*u endif else vb=v2m if (rs2) c=z*u z=pixel*(sc2+px2) z0=p7*u ph=ph*u else c=z z=z*u endif if (mo2) c=0.4*log(sqr(z^mm)) endif endif endif elseif (ex3) if (dt2) if (iv2) d=bo>bo2 else d=bo<bo2 endif if (bt2) d=d+(t>mi2) endif else d=t>mi2 endif if (d) ab=ab3 d3=dd3 ba=bb3 ex3=0 tt=tt-1 if (w3) u=2*(fn3(t/fac2)) else u=1,0 endif if (ir3) t=0 endif if (d3) vb=v3j if (rs3) z=pixel cb=p9*u c=p1*u p=pp*u else cb=p9 c=p1 z=z*u endif else vb=v3m if (rs3) c=z*u z=pixel*(sc3+px3) z0=p7*u ph=ph*u else c=z z=z*u endif vb=v3m if (mo3) c=0.4*log(sqr(z^mm)) endif endif endif elseif (ex4) if (dt3) if (iv3) d=bo>bo3 else d=bo<bo3 endif if (bt3) d=d+(t>mi3) endif else d=t>mi3 endif if (d) ab=ab4 d3=dd4 ba=bb4 ex4=0 tt=0 if (w4) u=2*(fn4(t/fac3)) else u=1,0 endif if (d3) vb=v4j if (rs4) z=pixel cb=p9*u c=p1*u p=pp*u else cb=p9 c=p1 z=z*u endif else vb=v4m if (rs4) c=z*u z=pixel*(sc4+px4) z0=p7*u ph=ph*u else c=z z=z*u endif if (mo4) c=0.4*log(sqr(z^mm)) endif endif endif endif endif if (vb) if (d3) if (ab) z=z*z+c c=c*sp+z else z1=z^p-1 z2=p*z*z z=z-z1/z2 endif elseif (ab) z1=z*z+0.56+ph/100-0.5*zold zold=z z=z1 else z2=fn1(z)+c z1=cos(z2) z=c*(1-z1)/(1+z1) endif elseif (d3) if (ab) z2=z*z z=z2*z2+p6*z2+c-p0 else z1=fn1(z)-cb z2=z1^p8-1 z3=p8*(z1^(p8-1)) z=z-(z2/z3) endif elseif (ab) if (dm) z=z*z+c+c*c-dp else z2=z*z z=z2*z2+p6*z2+c-p0 endif else z3=z z1=z0*z0*z0*z0-1 z2=z*z*z*z-1 z=z-z2*(z-z0)/(z2-z1) z0=z3 endif bo=|z| bo<ba }

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FOTD 19-12-13 (Grounded in Zexpe [A-7,M-6])
by Jim Muth 19 Dec '13

19 Dec '13

FOTD -- December 19, 2013 (Rating A-7,M-6) Fractal visionaries and enthusiasts: Today's image takes us to the fractal that many years ago was named the Zexpe fractal by Lee Skinner, who did extensive work on it. The Zexpe is the fractal that results when the expression Z^(epsilon)+C is iterated in the Mandelbrot mode. The usual Julia variations also exist, but we are not concerned with these in today's image. The Zexpe fractal is just one of an infinity of fractals that can be created by the manzpower formula of Fractint when the value of the exponent is varied. But the manzpower calculation involves complex logarithms, which are multi-valued and when calculated by the MandelbrotBC3 formula, can create an infinity of fractals for every possible fractional value of Z. So there are actually an infinity of Zexpe fractals to be explored. Today's image lies in the Zexpe Mandeloid fractal that comes about when the expression Z^(e)+C is iterated by the MandelbrotBC3 formula at ground level of the hyperladder with no function applied. This parent resembles a quadratic M-set rotated 90 degrees, with an ersatz main bud on the north side and an ersatz East Valley on the south side. There is some kind of pathological growth on the southwestern side of the main bay, but this does not enter into today's image, which lies in the East Valley of the parent. The name "Grounded in Zexpe" implies that the image lies in one of the Zexpe fractals and was calculated at ground level of the hyperladder. The art rating of a 7 and math rating of a 6 indicates that the artistic worth is about average and there is little new stuff to be found in the math aspect of the image. Luckily, the calculation time of 1-3/4 minutes is fast enough to keep fidgetiness and impatience at bay. The web sites can eliminate the fidgetiness. Enjoy the finished image at: <http://www.crosscanpuzzles.com/Archives.html> Where the image may be seen without the chore of calculating it. And be sure to check the 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> The sunshine was dimmed by haze today here at Fractal Central, but the temperature of 41F +5C was the warmest in two weeks. New fractal cat Jazzy celebrated the thaw by starting a tussle with Nico, but when Nico forgot his strength and got a bit too rough, Jazzy called it quits and ducked under the bed. The fractal humans simply had another normal day. The next FOTD will be posted in the appropriate time, whenever that might be. Until then, take care, and before we condemn the evil big greedy corporations who care only about their profits and don't concern themselves with poverty, let's check to see who is giving them the money that makes them so profitable. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Grounded_in_Zexpe { ; time=0:01:45.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=MandelbrotBC3 function=ident float=y center-mag=+0.0911597350623097/-0.3661580031587182\ /1.7e+011 params=2.71828182845905/0/0/0 logmap=249 maxiter=5000 inside=0 periodicity=6 mathtolerance=0.05/1 colors=0000KH0KH0KH0KH0KH0KH0KH0KH0JG0JG0JG0IF0IF0\ IF0HE0HE0HE0GE0GD0GD0FD0FC0FC0EC0EC0EB0DB0DB0DB0CA\ 0CA0CA0B90B90B90A90A80A809809709709708708708607607\ 60750650650650540540540430430430330320320220210210\ 11011010000000zp0zo0zn0zm0zl0yl5xkAxjFviKuhOthNrgN\ qfMpeModMndLmcLkbKjaKi`Kg`Jg_JfZIeYIdYHcXHbWHbVGaU\ G`UF_TFZSFYREXQEWQDVPDUOCTNCSMCRMBQLBPKAOJANIALG9J\ E9GC8EA8B97887577065053041030020010000000000000wzz\ rzzmzzjzzgzzdvzarz_mzYhzWfzUdzTbzSazR`zQZzQZzPXzPW\ zOVzOUzNTmMSzMSzLSzLSzKSvKTrJSmJRhIQcIQZHRUHRPGROG\ TNFXNE`MEcLKZKUUJcSJcRIcQHUPGUOFUMFUKEQIDMGCKEBICB\ GBAEA9C98A87877666555444333223112111000zzczzczzczz\ czzUzzKzzAzz0gU7jT6mS6pR6sQ6vP5zO5zN5zM5zL4zK4zI4z\ H4zG3zF3zE3zD3zC2zB2zA2z92z81z71z61z51z40z30z20z10\ zZDzYCzXCzXCzWCzWCzVBzVBzUBzUBzTBzTAzSAzSAzRAzRAzQ\ 9zP9zP9zO9zO9zN8zN8zM8zM8 } 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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A Pair To Draw To
by Brian Prentice 18 Dec '13

18 Dec '13

A detail from Jim's featured fractal: http://bprentice.webenet.net/Fractal%20Images/Set%2018/BP_18_73.png Brian Prentice

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FOTD 17-12-13 (Festive Merriment [A-8,M-7])
by Jim Muth 17 Dec '13

17 Dec '13

FOTD -- December 17, 2013 (Rating A-8,M-7) Fractal visionaries and enthusiasts: Today's image lies in the same parent as the previous two days' images. The location is in a small bit of debris in the area of Seahorse Valley of the parent, an area where rather jumbled chaotic scenery prevails. The scene lies deep enough in the parent that the features have become totally cubic, at least in today's image. The name "Festive Merriment" reflects the joyful mood created by the brilliant colors filling the image. Actually, the colors might be a bit too brilliant, which holds down the art rating to an 8. The math rating of a 7 is unchanged. The calculation time of 11-1/3 minutes is much too slow for comfort. But it is in these situations where the web sites excel at bringing relief. The completed image is posted 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 week or so ago I offered to name a fractal after the person who told me which species of calling bird is given on the fourth of the twelve Days of Christmas in the song of the same name. Since no one replied, there will be no fractal named for a FOTD fractal fan. Actually, the question was a trick. The commonly sung words 'calling birds' is a mistake. The true words are 'collie birds', which means black birds. The word is related to the british word 'collier', which is a coal miner assumed to be covered with black coal dust. Today began with light snow and a temperature of 14F -10C. The snow ended at 1pm after leaving 1-1/2 inches or 4cm of fresh snow on the ground, but the clouds hung on for the rest of the day, while the temperature remained below freezing. The fractal cats spent the day learning to play together. The new fractal cat Jasmine is now looking more like a small cat than a kitten, and Nico is treating her with more respect. The humans spent the day pondering the human situation. Luckily for me, the snow was the sweep-away kind. The next FOTD will appear almost by magic when the time is right. Until the right time, take care, and the Christian Bible says that the kingdom of heaven lies within. Does this mean that heaven exists only in the mind and Atheists are right when they say heaven is an illusion? Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Festive_Merriment { ; time=0:11:20.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=DivideBrot5 passes=1 center-mag=-2.159502924509663/+0.02573677242516395\ /3.270875e+008/1/23.75/0 params=3/3 float=y maxiter=32767 inside=0 periodicity=6 colors=000ojKqdHq_FtTAwMAzJAzDAzAAzAAzAAzAAzAAzAAz\ AAzAAzAAzAAzEAzKAzPAzUAzZAzcAzZAzUAzPAwKAwFAt99t99\ q99q99o88o88l88l88i77i77f77f77c66c66c66`66`66Y55Y5\ 5V55V55S44S44P44P44N44N44K33K33H33K33K33P44S44Y55`\ 66f77o88wAAzAAzAAzAAzAAq99l88i77f77c66`66Y55V55S44\ V55Y55`66c96fB7iE7lH8qL9tO9wRAzVAzWAzYAzaAzbAzgAzj\ AzlAznAzpAzsAzuAzxAzzAzzAzzAzxAzxAzuAzuAzsAzsAzpAz\ pAznAznAzlAzlAzjAzgAzeAwbAt_9qX9nU8kR8hO7eL7bI6_F6\ XC5U95R64O34L04M04L04K04K04K04K04K04K04K04K04K04K0\ 4K04K04K04K04K04K04K04K04K04K08K5ENAPOFcQKqPPzPUzN\ WzOZzOazMdzMgzNjzQmzTozWrzZuzazzbzzdzzfzzizzkzzmzz\ mzzmzzmzzmzzmzzmzzmzzmzzmzzmzzmzzmzzmzzmzzmzzmxzmv\ zmvzmuzmuzmuzmuzmtzmtzmtzmtzmswZswZswZswWrtWrtWrtS\ qqSqqSqqSqqPqoPqoPqoPqoNqmNqmNqmKqjKqjKqjKqjHqhHqh\ HqhFqfHqhHqhHqhHqhHqhHqjHqjHqjHqjHqjHqjHqmHqmHqmHq\ mHqmHqoAqXAqVAqSAqOAqMAqJ } frm:DivideBrot5 { ; Jim Muth z=(0,0), c=pixel, a=real(p1)-2, b=imag(p1)+0.00000000000000000001: z=sqr(z)/(z^(-a)+b)+c |z| < 1000000 } END PARAMETER FILE=========================================

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FOTD 17-12-13 ( [A-8,M-7])
by Jim Muth 17 Dec '13

17 Dec '13

FOTD -- December 17, 2013 (Rating A-8,M-7) Fractal visionaries and enthusiasts: Today's image lies in the same parent as the previous two days' images. The location is in a small bit of debris in the area of Seahorse Valley of the parent, an area where rather jumbled chaotic scenery prevails. The scene lies deep enough in the parent that the features have become totally cubic, at least in today's image. The name "Festive Merriment" reflects the joyful mood created by the brilliant colors filling the image. Actually, the colors might be a bit too brilliant, which holds down the art rating to an 8. The math rating of a 7 is unchanged. The calculation time of 11-1/3 minutes is much too slow for comfort. But it is in these situations where the web sites excel at bringing relief. The completed image is posted 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 week or so ago I offered to name a fractal after the person who told me which species of calling bird is given on the fourth of the twelve Days of Christmas in the song of the same name. Since no one replied, there will be no fractal named for a FOTD fractal fan. Actually, the question was a trick. The commonly sung words 'calling birds' is a mistake. The true words are 'collie birds', which means black birds. The word is related to the british word 'collier', which is a coal miner assumed to be covered with black coal dust. Today began with light snow and a temperature of 14F -10C. The snow ended at 1pm after leaving 1-1/2 inches or 4cm of fresh snow on the ground, but the clouds hung on for the rest of the day, while the temperature remained below freezing. The fractal cats spent the day learning to play together. The new fractal cat Jasmine is now looking more like a small cat than a kitten, and Nico is treating her with more respect. The humans spent the day pondering the human situation. Luckily for me, the snow was the sweep-away kind. The next FOTD will appear almost by magic when the time is right. Until the right time, take care, and the Christian Bible says that the kingdom of heaven lies within. Does this mean that heaven exists only in the mind and Atheists are right when they say heaven is an illusion? Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Festive_Merriment { ; time=0:11:20.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=DivideBrot5 passes=1 center-mag=-2.159502924509663/+0.02573677242516395\ /3.270875e+008/1/23.75/0 params=3/3 float=y maxiter=32767 inside=0 periodicity=6 colors=000ojKqdHq_FtTAwMAzJAzDAzAAzAAzAAzAAzAAzAAz\ AAzAAzAAzAAzEAzKAzPAzUAzZAzcAzZAzUAzPAwKAwFAt99t99\ q99q99o88o88l88l88i77i77f77f77c66c66c66`66`66Y55Y5\ 5V55V55S44S44P44P44N44N44K33K33H33K33K33P44S44Y55`\ 66f77o88wAAzAAzAAzAAzAAq99l88i77f77c66`66Y55V55S44\ V55Y55`66c96fB7iE7lH8qL9tO9wRAzVAzWAzYAzaAzbAzgAzj\ AzlAznAzpAzsAzuAzxAzzAzzAzzAzxAzxAzuAzuAzsAzsAzpAz\ pAznAznAzlAzlAzjAzgAzeAwbAt_9qX9nU8kR8hO7eL7bI6_F6\ XC5U95R64O34L04M04L04K04K04K04K04K04K04K04K04K04K0\ 4K04K04K04K04K04K04K04K04K04K08K5ENAPOFcQKqPPzPUzN\ WzOZzOazMdzMgzNjzQmzTozWrzZuzazzbzzdzzfzzizzkzzmzz\ mzzmzzmzzmzzmzzmzzmzzmzzmzzmzzmzzmzzmzzmzzmzzmxzmv\ zmvzmuzmuzmuzmuzmtzmtzmtzmtzmswZswZswZswWrtWrtWrtS\ qqSqqSqqSqqPqoPqoPqoPqoNqmNqmNqmKqjKqjKqjKqjHqhHqh\ HqhFqfHqhHqhHqhHqhHqhHqjHqjHqjHqjHqjHqjHqmHqmHqmHq\ mHqmHqoAqXAqVAqSAqOAqMAqJ } frm:DivideBrot5 { ; Jim Muth z=(0,0), c=pixel, a=real(p1)-2, b=imag(p1)+0.00000000000000000001: z=sqr(z)/(z^(-a)+b)+c |z| < 1000000 } END PARAMETER FILE=========================================

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FOTD 16-12-13 (Heraldry Shield [No Ratings])
by Jim Muth 16 Dec '13

16 Dec '13

FOTD -- December 16, 2013 (No Rating) Fractal visionaries and enthusiasts: Since today's image is a simple and quite small outzoom from yesterday's image, I gave it no ratings. But the ratings of yesterday's image certainly still apply. The small outzoom reveals that yesterday's six-pointed star is emblazoned on a fractal shield with three well decorated arms extending from the shield. The entire effect, with its dark purple background, speaks of heraldry, thus the name "Heraldry Shield". The calculation time of 2-1/4 minutes is slower than the more impatient fractalists would prefer. But instant satisfaction is always available on the web sites. The wait for satisfaction may be eliminated by checking the finished image 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> Mostly sunny skies and cold temperatures in the mid-20's or -3C made today feel just about right for the middle of December. The fractal cats checked the outside conditions then got into a tussle. The humans spent the day keeping busy, though we're not sure what the result of our effort was. The next FOTD will be posted in an estimated 24 hours or more. Until next time, whenever that might be, take care, and don't just claim that we must do something about global warming, get up and set an example by doing something. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Heraldry_Shield { ; time=0:02:15.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basic.frm formulaname=DivideBrot5 passes=1 center-mag=-3.866\ 658236643234/0/5.488e+009/1/90/0 params=3/3 float=y maxiter=1900 inside=0 logmap=340 periodicity=6 colors=00070AcShdShdTheUhfVifVigWigXihYihZjiZjj_jj\ `jkajkaklbklckmdkneknelofloglphlnjjokkpllpmmqmmqmn\ rmormosnpsoqtpqtqrursustvttvuuwvvwwvxxwxyxyzxyzyzz\ z0Qz0Ry0Rx0Sw0Sv0Su0Tt0Tt0Ts0Ur0Uq0Up0Vo0Vo0Vn0Wmq\ WlpWkpXjoXjoYinYhnYgmZfmZelZek_dk_cj_bj`ai``i``hF_\ hFZgFYgFXfFWfAWgAWfAWeAWdAWcAWbAWaAW`AW_AWZAWYPWXO\ WWOWVNWUNWSMWRMWmzWmsWhpWcmWZiWUfWPcWLZWIWWHRWGQWF\ QWEPWBOVDPWEPXGPXHPYJPYKQZMQZNQ_PQ`QQ`SQaTRaVRbWRb\ YRcZRc`RdaSecSedSffSfgSgiTgjThlThmTioTjpTjrUksUkuU\ lvUlxUmyUmuTlqTlmTliSkeSkaSkYSkURjQRjMRjIRjEQiAQi6\ Qi2Qi4Th6Vh8XgAZgC`fEbfGdeGhfHfeHddHbcH`cHZbHXaHVa\ HT`HR_HPZHNZHLYHJXHHXHFWHDVHBUH9UH7TH5SF2TH4SJ6SL7\ RN9RPBQRCQTEPVGPXHOZJO`LNbMNdOMfQMhRLjTLlVKnWKpYJr\ _Jt`IvbUxdUzdUyeUyecyecxecxecxezxezwmzwmzwmzwmzvmz\ vmzvmzumzumzumzumztmztmztmzzzzszzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzz } frm:DivideBrot5 { ; Jim Muth z=(0,0), c=pixel, a=real(p1)-2, b=imag(p1)+0.00000000000000000001: z=sqr(z)/(z^(-a)+b)+c |z| < 1000000 } END PARAMETER FILE=========================================

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FOTD 15-12-13 (Spirit and Matter [A-8,M-7])
by Jim Muth 15 Dec '13

15 Dec '13

FOTD -- December 15, 2013 (Rating A-8,M-7) Fractal visionaries and enthusiasts: Today's image takes us back to the DivideBrot5 formula, which I feel is still the best of the series. The parent fractal is an oversized quadratic Mandelbrot set caught in the act of starting to morph into the cubic M-set. Today's image lies rather deep in a small valley on the X-axis at the negative extremity of the M-set proper. The minibrot at the center is a pure cubic one. The number of elements surrounding it is confused however. I see a series of rings of 6 elements, and 6 is definitely not in the usual cubic series of 3,9,27... The cause of the discrepancy is that the quadratic influence is still very strong in the image, and 2x3=6. The name "Spirit and Matter" was inspired by the overlapping triangles framing the minibrot. This symbol represents the three aspects of the Supreme Spirit (Father, Son, Holy Ghost) descending to merge with the three upward-striving aspects of man incarnate (body, emotion, mind). The art aspect is quite good, and rates an 8. The math aspect is a bit shopworn but still rates a 7. The calculation time of 3-1/4 minutes is borderline slow. The web sites can speed up things considerably. The image has already been calculated and is posted 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 fractal people woke up to 7 inches 18cm of fresh snow covering the fractal grounds, and found the fractal cats already checking the footprints left by the local feral cats in the snow in the back yard. It's too bad that the fractal gentleman had to spoil his day by clearing the sidewalk, but the fractal lady kept him warm with lots of freshly brewed hot coffee. The next FOTD will be posted soon, and I would not be surprised if it were in 24 hours. Until whenever, take care, and if you don't believe in spirit, it doesn't matter. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Spirit_and_Matter { ; time=0:03:15.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basic.frm formulaname=DivideBrot5 passes=1 center-mag=-3.866\ 658236652909/0/1.615e+010/1/90/0 params=3/3 float=y maxiter=1900 inside=0 logmap=340 periodicity=6 colors=000500602703804906A08C0AE0CG0EI0FK2GL4HM6IN\ 8JOAKPCKQDKREKSFKTGKUHKVIKWKNXMLYPKZSJ_VH`YGa`FbcD\ cgCekBgn9iq8kt7mwAozKqzUuzZzzhzzrzzzzzzzzzzzzzzzjQ\ yhRwgRvfSudStcTsbTr`Uq_Up`PvZUoXYhVaaSdXUeWVfVWgVY\ hUZiT_jTajSbkRclRdmQfnPgoPhpOjpNkqNlrMnsLotLpuKrxL\ quKqsKqsKqsJqqJqoJqmJqiIqfIqcIr`IsXHuVHwTHzRHwOGwM\ GwKGwIGhJK`KNSLQrzzmrzhqzcpzUozKnzAmz5lz6kz6iz7gz7\ ez7czWIGYHDYF4_GA`HFaIKbJQcKVeL_fMdgNjhOoiPt8dY8eY\ 9gY9hX9jXAkXAmXBnXBpXBqXCrZCs_CsaDtbDudDueDvgEwhEw\ jExkFymFynFzpFzqGyoHymIykJyiKxhLxfLxdMxbNxaOw_PwYQ\ wWRwURvTSvRTvPUvNVvMWuKXuIXuGYuEZtD_mB`m9am7am6ja8\ jaAjaCja9mcZmccmccPLTOKSNKRNKQMKOLFNKFMKEKJEJIEIHE\ HHEFGEEFDDEDCEDADD9CD8CD7FGIHHTJKbLMmNPwOSuPUtcksc\ mrcmqcmpcmocmncnmcqlctkcwjczhczgczfczeczdczbmzamz`\ mz_mzZmzYmzUmzUzzUzzczzczzczzczzczzczzmzzmzzmzzmzz\ zzzzzzzzzzzzzzzzzzzzzzzzz } frm:DivideBrot5 { ; Jim Muth z=(0,0), c=pixel, a=real(p1)-2, b=imag(p1)+0.00000000000000000001: z=sqr(z)/(z^(-a)+b)+c |z| < 1000000 } END PARAMETER FILE=========================================

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Re: [Fractint] FOTD 14-12-13 (Way Out East [A-6,M-6])
by Brian Prentice 15 Dec '13

15 Dec '13

Here is a detail from Jim's currently featured fractal: http://bprentice.webenet.net/Fractal%20Images/Set%2018/BP_18_72.png Brian Prentice

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Multifractal Update
by Albrechtx 15 Dec '13

15 Dec '13

Hi, this is a question to the authors or programmers: Presently I´m working on an update and I´m desperately searching for a way to load new color information during calculation. A map or maybe the contents of a map. All I tried is rejected by the frm parser. Is there any way at all?? Grateful for any help. Albrecht

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New fractal "variations" on my site for Dec. 2 - 8, 2013
by Hal Lane 15 Dec '13

15 Dec '13

There are now fractal "variations" on my site for Jim's FOTD for December 2 - 8, 2013. There's also one added image on December 1st: F131201Y.gif -- which is not anti-aliased. Jim created some slow-calculating fractals recently, and I lost a couple of almost complete fractals to blue screens that had taken two days or so to compute (the way I do it) and got behind. It takes a long time to calculate the 4k x 3k versions of the fractals I use to anti-alias my images -- this is especially true of Jim's arbitrary precision fractals... I typically have my older WinXP machine simultaneously calculating one fractal in DOS Fractint and one in Richard's Fractint for Windows beta 5 (now called Iterated Dynamics) and I can still "surf the web" -- but a bit slower than I'd like... Thanks for navigating thru my home page with the counter... http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html - Hal Lane ######################## # hallane(a)earthlink.net ######################## --- This email is free from viruses and malware because avast! Antivirus protection is active. http://www.avast.com

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