April 2013 - Fractint - mailman.xmission.com

FOTD 19-04-13 (A Forest on Alpha-X [8])
by Jim Muth 19 Apr '13

19 Apr '13

FOTD -- April 19, 2013 (Rating 8) Fractal visionaries and enthusiasts: Today's image is named "A Forest on Alpha-X", but to actually see the forest with its strangely tinted sky beyond, it is necessary to step back from the screen. The impression of a forest of trees lies in the overall shading, not the finer details, which are more Mandelbrot than tree-like. Apparently, on planet Alpha-X, the air is also filled with flying insects, especially during the times of twilight, which is the time of day illustrated in the image. The clouds of bugs are scattered all over the background. The image was created by the MandNewt08 formula, which I wrote quite a few years ago. This formula is part of a series that was intended to do something that I have long since forgotten. The only thing I am sure of is that the series creates images that share both Mandelbrot and Newton characteristics. The rating of an 8 seems about right for the image, with a full point of the rating due to the coloring, which took about 45 minutes to get almost but not quite right. The calculation time of 2-3/4 minutes is close to FOTD average. The fastest way to enjoy the dusky forest scene is to view it in finished form on one of the FOTD web sites. To see the dusky scene without calculating it, surf over to the official FOTD web site at: <http://www.crosscanpuzzles.com/Archives.html> and check the interesting variations at: <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> The back images are online at: <http://www.Nahee.com/FOTD/> The cloudy breezy weather today was offset by a temperature of 73F 23C. Light rain showers began in the afternoon, but by post time had not amounted to much. The fractal cat passed most of the afternoon sleeping in my favorite chair and the rest of the time asking for food. The humans spent most of their time watching the TV news. The next FOTD will be posted in a day of two. Until whenever it actually appears, take care, and now it looks like we'll need tighter controls on home-made bombs. And we'll also need to keep more careful watch on those outgoing people with a lot of friends, who never do anything suspicious. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= A_Forest_on_AlphaX { ; time=0:02:45.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=MandNewt08 passes=1 float=y center-mag=0.651181/-1.47796/6.963012/1/-62.5/0 params=0.941/-0.627/-0.909/-0.706/0.416/-0.527 maxiter=768 inside=bof60 logmap=yes periodicity=0 colors=0006Ac6Ac6Ac6Ac6Ac6Ac6Ac6Ac6Ac6Ac6Ac6Ac6Ac7\ Ac7Ac7Ac7Ac7Ac7Ac7Ac7Ac7Ac7Bc7Cc7Dc7Ec7Fc7Gc7Hc8Ib\ 8Jb8Jb8Ja8J`8J_8J_8JZ8JY8JY8JX8JW8JW8JV8JU8JT8JT9I\ S9IR9IR9HQ9GP9FP9EO9DN9CN9BM9AL99K98K97J96I95H95H0\ 0A00A00A00A00A00A00A00A00A00A00A00A00A00A00A00ABD8\ BE9CFADGBEGCFGDFGEGFFHFHIFIIFJIFKHELGEMFENEEPDDQCD\ RBDSADTADUADVADXACYACZAC_AC`ACaABbABcABcABcABdACeA\ DfABgA9hA7iA5jA0kA2lA4mA6nA7oA9pAAqABrACsAFtAGuAIv\ CFwCLwBMwBFwBQwARwAQw9Ow9Xw9Uw8Ww8Yw7_w7aw7bw6cw6b\ w6gw7dw8kw8hw9iwAiwAnwBmwCmwCnwDnwEowEowFowFpwGpwH\ pwHqwIqwJqwKrwMrwOswQswSswUtwWtwYtw_uwauwcuweuwguw\ iuwkuwmuwouwquwsuwuuwwuwzzwzzwzzwqtwotwmswkswjrwhr\ wfqwdqwcpwapw_owYowXnwVnwTmwRmwQlwOlwMkwKkwJjwHjwG\ jwHiwIiwJiwKhwLhwMhvNhvOhuPhuQhtRhtShsThsUhrVhrWhq\ XhqYhpZhp_ho`hoahobhnchnbgnegnffngenienkdnmcnocnqb\ msbmuamw`mz`mz_mzZmzZmzYm } frm:MandNewt08 {; Jim Muth z=c=(pixel*p1): a=z^p2+(c-1)*z-c b=p3*z^2+c-1 z=z-1*a/b 0.000000000000000000000000000001 <= |a| } END PARAMETER FILE=========================================

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BlackGold
by JackOfTradeZ＠comcast.net 19 Apr '13

19 Apr '13

. I recall the parallel resistance formula from my 4th grade advanced electronics class; something like if you have a number of resistors in parallel the total resistance is less than the least, like taking the inverse of all the inverses: Rt = 1 / (1/R1 + 1/R2 ...... + 1/Rx) or something like that. But what does it have to do with the fractal formula? I don't see it, except the last line has a similar format. Anyway, cool image. And if you zoom back a little you see the parent fractal - one of the freakyest Mandelbrot monsters I have ever seen! I will see if I can do a zoom animation of this. Gold is so like, way cool! .

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FOTD 18-04-13 (Superluminal [7])
by Jim Muth 18 Apr '13

18 Apr '13

FOTD -- April 18, 2013 (Rating 7) Fractal visionaries and enthusiasts: Today's image shows a minibrot in the Z^(1.04)+C Mandeloid. Despite the impossibility of moving through space faster than light, the minibrot appears to be doing just that. I appropriately named it "Superluminal". The parent fractal is shaped much like the minibrot in today's image, though the parent is zooming toward the east. Today's scene is located in a narrow band of chaos on the southern shore line of the parent, near its rounded tip. The rating of a 7 is close to average. The rather muddy colors prevent me from giving the image a higher rating. The calculation time of 8 minutes is slow. I admit it. But the web sites are up and running, and will eliminate the need of booting the 30-year-old DOS-OS just to run the parameter file. Enjoy the convenience of viewing the image without the chore of calculating it by viewing the completed image online at: <http://www.crosscanpuzzles.com/Archives.html> and don't forget the interesting variations at: <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> or the thousands of back FOTD images at: <http://www.Nahee.com/FOTD/> A heavy bank of clouds hung over Fractal Central all day, while the temperature reached a relatively pleasant 61F 16C. The fractal cat didn't complain about the lack of sun, but he did grumble about being served the wrong flavor of food at his midday meal. (He wanted turkey; he got beef.) The humans passed the day working and wondering about the current spate of disasters. The next FOTD will most likely be posted in 24 hours. If it is not, then it will be posted in 48 hours. Until whenever, take care, and we can avoid future fertilizer plant disasters by moving fertilizer plants far away from residential areas. (The only good thing in all the recent bad news is the disappearance of the Jodi murder trial from the news media. Apparently God has had mercy on us.) Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Superluminal { ; time=0:08:00.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=MandelbrotBC3 function=ident center-mag=-1.030010403518456/-1.732735590658575/\ 2.622e+007/1/122.5/0 params=1.04/0/525/2400 float=y maxiter=10000 inside=0 logmap=800 periodicity=6 colors=000OSeOSdPSdPSdQSdQScRScRScSSbSSbTSbTSaUSaU\ SaVSaVR`VR`WR`WR_XR_XR_YRZYRZZRZZRZ_RY_RY`RY`RXaRX\ aRXaQWbQWbQWcQWcQVdQVUVVUVUUVUUVUUVTUVTUVTUUT`SN`S\ N_SN_SN_SNZSNZSNYSNYSNXSOXSOXSOWSOWSOVSOVSOVSOUSOU\ SOTSOTPITOISOISNIRMJRMJQLJQKJQKJPJJPIKOIKOHKNGKNGK\ MFKMELLELLDLKCLKCLKBLJAMJAMI9MI8MH8MH7MG6NG6NF5NF4\ NE4NE3ND2OI6EI6DH6CH6CG6BF6AF6AE69E69D68D67C67B66B\ 65A65A649639638627518628628728728228828929129A29A2\ 952952962942A62JCKKFHKDDLBAE97G73I73821B4KC5KD7KE8\ UF9UHEUIHcJIcKPcLQmMUmOUmPUm3cz3Xz3cz3Uz3cz3Uz2cz2\ Uz2cz2Uz2_zUPzUKzUKzUPzULzUSzUPzUYzUPzUZzUPzUZzUPz\ UZzUPzUZzcVkcbjmeimhhmkgmnfmlemjemhemfemdemcemcemc\ emcemcemczmczmczmczmczmczmczmczmczmmzmmzmmzmmzmmzm\ mzmmzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\ 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 17-04-13 (Rainbow Rider [!!!])
by Jim Muth 18 Apr '13

18 Apr '13

FOTD -- April 17, 2013 (Rating !!!) Fractal visionaries and enthusiasts: Today's image rates three 'bangs'. Last evening I actually found a passable fractal image in the parent mandeloid that results when the expression Z^(1.001)+C is iterated 37.21 levels up the hyperladder. That fractal appears as today's FOTD. The parent fractal is a squashed and distorted oval with mostly smooth edges on the southeast half and sawtooth edges on the northwest half. A most unexpected valley lies on the southern shore of the oval, while some slight irregularities appear on the southeast shore line. Today's image lies in these southeast irregularities. I named the image "Rainbow Rider", since the open area appears to have a head somewhat like a horse's, while the rest of the open space is drawn out into a rainbow-like arc. The smoothly- blended rainbow colors supplied the final inspiration. The open area in the image is not actually a minibrot, since it fills in if the maxiter is increased, but it is certainly more than I expected to find way down here in the bottom lands. The down side of the image is its calculation time, which at a half-hour is beyond all resemblance of reason. Luckily the web sites are online to save time and tempers. Check the completed image at: <http://www.crosscanpuzzles.com/Archives.html> Enjoy the hi-def variations at: <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> Look back at the past images at: <http://www.Nahee.com/FOTD/> Today was as close to perfect here at Fractal Central as it is possible to come. The blue sky, brilliant sun and temperature of 66F 19C could hardly have been improved upon. The fractal cat enjoyed the sun on his shelf, but the sun is now getting so high in the sky that it misses half the shelf. The humans meanwhile attended to everyday things. The next FOTD will be posted soon. Until whenever that might be, take care, and it appears someone is spreading ricin through the mail. I guess we'll have to ban either the mail or the castor bean plants. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Rainbow_Rider { ; time=0:30:00.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=MandelbrotBC3 function=ident passes=1 center-mag=-3.15118/-3.4669/34.75141/1/-17.5/0 params=1.001/0/37.21/9900 float=y maxiter=4500 inside=0 logmap=-3110 periodicity=6 colors=000GcHFcJFcNEcKDcIDcGCcECcBBc9Bc7Ac5Ac1Ad3A\ d4Ad5Ad6Ad7Ad8Ad9AeAAeBAeCAeDAeFAeGAeHAfIAfJAfKAfL\ AfMAfNAfOAfPBfQCfRDfSEfTFfUGfVGfWHfXIfYJfZKf_Lf`Lf\ `MfaNfbOfcPfdQfeQffRfgSfhTfiUfjVfkWflWflXfmYfnZfo_\ fp`fq`frafsbftcfudfvefwdeyefwfguggthhrihpjiojimkjk\ lkjmkhnlfolepmcrnaqmbpmbolcnlcmkclkdkjdjjeiiehiegh\ ffhfeggdggcfgbfhaeh`ei_diZdiYcjXcjWbkVbkUakTalS`lR\ `mQ_mP_mOZnNZnMYoLYoKXoJXpIWpHWqGVqFVqEUrDUrCTsBTs\ 9StATsATsAUsBUsBUsBVsBVsCVsCWsCWsCXrDXrDXrDYrDYrEY\ rEZrEZrFZrF_rF_qF`qG`qG`qGbqGcqHdqHfqHgqLUnJXpH_qF\ brDesBht9ju7lv5nw6lu7jt7hs8gr8ep9co9anA`mAZlBXjCWi\ CUhDSgDQeEPdENcFLbFKaHJbJJbKIbMIbNIcPHcQHcSGcUGcVG\ dXFdYFd_Ed`EdbEedDeeDegCehCfjCfkBfmBfoAfpAgrAgs9gu\ 9gv9gqBemCdhEbdFa`H`WIZSKYNLWJNVFOUGQSHSRHTQIVPJWO\ JYNKZMK`LLaKMcIMeHNfGNhFOiEQkDRlCTnBWm5VoAUpFSqKRr\ OUsTZtYcuahw`mx_ryZwzYzxX } 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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Black Gold
by Mike Frazier 18 Apr '13

18 Apr '13

This fractal looks a bit like gold filigree. The formula is a variation of the parallel resistor formula with three z^2 components. The components are centered at -4.5, 0, and +4.5 along the imaginary y axis. Here is a link to an image: http://dl.dropboxusercontent.com/u/33642054/image/black_gold_1200_5.jpg The Fractint compatible PAR file for the image is: Black_Gold { ; Exported from Fracton. reset=2004 type=formula formulafile=fracton.frm formulaname=F_20130417_1555 passes=1 float=y center-mag=-10.19972708650225/0/121.2121227272727/\ 1/0/0 params=0/4.5/0/0/0/0/0/0/0/0 maxiter=2000 inside=0 periodicity=6 colors=000C10O40ZA0hI0oS0ua0ym0zy0ym0ua0oS0hI0ZA0O\ 40C10000C10O40ZA0hI0oS0ua0ym0zy0ym0ua0oS0hI0ZA0O40\ C10000C10O40ZA0hI0oS0ua0ym0zy0ym0ua0oS0hI0ZA0O40C1\ 0000C10O40ZA0hI0oS0ua0ym0zy0ym0ua0oS0hI0ZA0O40C100\ 00C10O40ZA0hI0oS0ua0ym0zy0ym0ua0oS0hI0ZA0O40C10000\ C10O40ZA0hI0oS0ua0ym0zy0ym0ua0oS0hI0ZA0O40C10000C1\ 0O40ZA0hI0oS0ua0ym0zy0ym0ua0oS0hI0ZA0O40C10000C10O\ 40ZA0hI0oS0ua0ym0zy0ym0ua0oS0hI0ZA0O40C10000C10O40\ ZA0hI0oS0ua0ym0zy0ym0ua0oS0hI0ZA0O40C10000C10O40ZA\ 0hI0oS0ua0ym0zy0ym0ua0oS0hI0ZA0O40C10000C10O40ZA0h\ I0oS0ua0ym0zy0ym0ua0oS0hI0ZA0O40C10000C10O40ZA0hI0\ oS0ua0ym0zy0ym0ua0oS0hI0ZA0O40C10000C10O40ZA0hI0oS\ 0ua0ym0zy0ym0ua0oS0hI0ZA0O40C10000C10O40ZA0hI0oS0u\ a0ym0zy0ym0ua0oS0hI0ZA0O40C10000C10O40ZA0hI0oS0ua0\ ym0zy0ym0ua0oS0hI0ZA0O40C10000C10O40ZA0hI0oS0ua0ym\ 0zy0ym0ua0oS0hI0ZA0O40C10 } frm:F_20130417_1555 { ; Similar to the parallel resistance formula z=0,c1=pixel-p1,c2=pixel+p1,c3=pixel: f1=z*z+c1, f2=z*z+c2, f3=z*z+c3, z=1/(1/f1+1/f2+1/f3), |z|<100 } -- Mike Frazier www.fracton.org

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FOTD for April 17, 2013
by Brian Prentice 18 Apr '13

18 Apr '13

Here are two more details from Jim's fractal for today: http://bprentice.webenet.net/Fractal%20Images/Set%2018/BP_18_14a.png http://bprentice.webenet.net/Fractal%20Images/Set%2018/BP_18_14b.png Brian Prentice

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FOTD 16-04-13 (Bottom of the Pile [5])
by Jim Muth 17 Apr '13

17 Apr '13

FOTD -- April 16, 2013 (Rating 5) Fractal visionaries and enthusiasts: In today's image it looks like we have come to the end of the road. The exponent of Z is 1.004, and even searching as much as I could, I found none of the fractal semi-chaos that produces the most interesting designs. What I did fine was today's image, which is quite fractal in nature, remaining the same no matter how deeply into it one dives. So I guess this is the end of the road as we approach an expo- nent of unity, at least with my less-than-light-speed 12-year- old fractal dedicated machine. A super-speed SOTA unit might find that some interesting stuff does lie beyond the edges of today's image, but I'm not going to try to find it. The rating of a 5 is below FOTD average. The name "Bottom of the Pile" indicates the position of the generating expression. The calculation time is inexcusably slow. Over 1/4 hour will pass between the time the <enter> key is struck and the image- finished chirp sounds. I recommend turning to one of the web sites for relief. The finished image may be viewed at: <http://www.crosscanpuzzles.com/Archives.html> with hi-def variations at: <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> and back images at: <http://www.Nahee.com/FOTD/> Lots of clouds, a little sun and a few showers, with a tempera- ture of 68F 19C made today a pretty average one here at Fractal Central. The fractal cat Nicholas grabbed my chair when I got up from it at lunch time to reach for the remote control, and turned defiant when I tried to return to it. FL was on Nico's side in the chair dispute. The next FOTD will be posted within a reasonable time. Until reason prevails, take care, and it looks like we need tighter controls on those household items and substances that could be used in the creation of explosives. It might be impractical but at least it would make us feel better. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Bottom_of_the_Pile { ; time=0:16:20.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=MandelbrotBC3 function=ident passes=1 center-mag=-1.04288/-9.26179/34.5/1/163.7/0 params=1.004/0/1.54/2400 float=y maxiter=5000 inside=0 logmap=-737 periodicity=6 colors=000I6GH6GG5HF4IE4JD3JC3KBCLAEL94M96N9EO9EP9\ AQ9CR9ER9GS9HT9JU9LV9MW9PX9SX9UY9XZ9__9b`9ea9haEkV\ JoPOrJStDRvEQsEQpEPnEPkEOhFOfFNcFM`FMZFLWFLTGKQGKO\ GJLGIIGIGGHDHHAHG8HG5HF2HF0H52786AAADCDGFHJHKMJOOM\ SROVUQZXSa_VebXidZlgapjcsmewpgzrjnambLpS4nR6lQ8kP9\ iOBhNChSLhWUh_ahcjhgridqjaqj_pkXplVolSomPnnNnnKmoI\ mpFlpClqAkr7kr5js2js0jpChmNflPelQdlRdlTclUckVbkXak\ YakZ`k``ja_jbZjdZjeYjfYkfYleZmeZme_nd_od`ocapcaqbb\ rbbracsadt`dt`eu_ev_fv_fuZeuYdkLLtYctXbsXasW`sV`rV\ _rUZqUYqTXpTWpSWpRVoRUoQTnQSnPRmPQmOQmNPlNOlMNkMMk\ LLolknihngfnedmbbm`_mZYlWWlUUlSRkPPkNNu0vt1ut1tt2s\ t2rs3qs3ps4os4or5nr5mr6lr6kr7jq7iq8iq8hq9gp9fpAepA\ dpBcpBcoBboCaoC`oD_nDZnEYnEXnFXmFWmGVmGUmHTmHSlIRl\ IRlJQlJPkKOkKNkLMkLLwluvktvjsvjruiquiquhpugotgntfm\ tfmtelsdksdjsciscirbhragrafr`fq`eq_dqZcqZbpYbpYapX\ `pW_oWZoVZoVYoUXnTWnTWnSV } 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 15-04-13 (Undersea Garden [!!])
by Jim Muth 16 Apr '13

16 Apr '13

FOTD -- April 15, 2013 (Rating !!) Fractal visionaries and enthusiasts: In today's image we're down to Z^(1.009) yet the interesting images keep coming. I named the scene "Undersea Garden" because something about it reminds me of an undersea scene. The parent is another oversized torpedo-like open area with patches of semi-chaos spotted along the edges. Today's scene is obviously located in one of these chaotic areas. The rating of two 'bangs' indicates my surprise at finding something worthwhile this close to Z^(1) (or straight Z). If I find anything even closer to unity in future FOTD's, I'll increase the number of 'bangs' in the rating. The big drawback is the calculation time of 12 minutes, but relief is available as always on the web sites. Nobody runs DOS programs nowadays, so make life easy by viewing the finished image on the official FOTD web site at: <http://www.crosscanpuzzles.com/Archives.html> And be sure to check the hi-def versions and the variations at: <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> The thousands of back images are online at: <http://www.Nahee.com/FOTD/> A great mid-April day was fully enjoyed by both cat and humans here at Fractal Central today. The temperature of 66F 19C and partly cloudy sky could hardly have been improved. The next FOTD will soon be posted. Maybe we can find something even closer to unity. Until whenever, take care, and a certain woman I know well, who claims to want nothing more than peace on earth, feels that we should withdraw all US military troops from foreign countries. This makes good sense, but this same woman's favorite music is 'classic rock', including protest music from the Vietnam War era, which all too often seems violently angry to me. And when I played 'The Planets' for her, thinking she would enjoy 'Venus, the bringer of peace' she surprised me by naming 'Mars, the bringer of war' as her favorite section. Women are sometimes truly hard to understand. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Undersea_Garden { ; time=0:12:00.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=MandelbrotBC3 function=recip center-mag=-0.7609181081167751/+4.589745372939182/\ 649/1/42.5/0 params=1.009/0/1.9/3500 float=y maxiter=7500 inside=255 logmap=334 periodicity=6 colors=000HnkHnkHpkIpnIrnIrnKtnKvnMvnMxpMxpOzpOzpQ\ zpQzpQzrSzrSzrSzrUzrUzrWztWztWztXztXztUzxXztZzp`zn\ bzjdxfftdhn`jjXkfWnbSpXOrUMtQIvKFxHDzDAz87z55z22z2\ 0z00z00z05z0Az0Dz0Iz0Oz0Uz0kz0dz0Xz0Qz7IzFCzO7zX0z\ f0zp0zz0zz0zz0zr0xj0r`0kU0hM4fK4fK4fK4fK4fK4fK4dK4\ dK4dK4dK4dI4dI4bI4bI4bI4bI4bI4bI4`I4`I4`H4`H4`H4`H\ 4ZH4ZH4ZH4ZH4ZH4ZH4WK0XI2ZH4ZH4`F5`D5bD7bC8dC8fAAf\ 8Ah8Ch7Dj5Dj5Fk4Fk4Hn2Ip0Ip0Kr0Kr0Mt0Ot0Ov0Qx0Qx0S\ z0Uz0Uz0Wz0Wz0Xz0Xv0Sn0Mf0IZ0DS0AM05F0280020000000\ 0000000000000000200M70700800C00J50RB0I40K50O80QA0U\ D0WF0XI0`K0bO0fQ0hU0jW0nZ0p`0td0vf0zk0zp0zv0zz0zzz\ zzzzzzzzzzzzzzzzzzzzzzz0zz0zv0zr0nn0jk0fj2bh2Zf4Wd\ 5Sb5O`7OW2MX5MZ7M`AMbCMdFMfHMhKMjMMkQMnSMpWMrXMt`M\ vbMxfMzhMzkMznKzrMzpMznOznOzkOxkQvjQtjQrhSphSkfSjf\ UhdUfdUdbWbbW``XZZXXZXUXZSXZQWZOW`MU`KU`ISbHSbFQbC\ QdAOd8Of7Mf5Kf4Kh2Ih0IYYu } 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 14-04-13 (Not Quite Linear [7.5])
by Jim Muth 15 Apr '13

15 Apr '13

FOTD -- April 14, 2013 (Rating 7.5) Fractal visionaries and enthusiasts: Today's image is a scene in one of the Z^(1.02)+C parent fractals. Since the complex logarithm is multi-valued, there are multiple fractals the expression can create. Most of these fractals are over-sized torpedo-shaped things, though only some have the interesting fractal semi-chaos along their edges. Today's scene lies in a bit of this semi-chaos along the southwest shore line of its parent. This parent fractal is unusual in that it has a small island-arc of debris lying inside its main bay, totally disconnected from the nearest shore. I have not yet checked this island, though at first glance it appears relatively unpromising. The name "Not Quite Linear" describes the generating expression. The rating of 7-1/2 is about average. I did put a little extra effort into the coloring, though it is debatable whether my work made much of an improvement. If you run the parameter file, do not be concerned if nothing appears on the screen for a minute or two. The top inch or so of the image is a flat color. With a calculation time of 12 minutes, the image is a slow one. The web sites can relieve impatience however. The completed image is posted at: <http://www.crosscanpuzzles.com/Archives.html> Hi-def variations are at: <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> The FOTD back images are at: <http://www.Nahee.com/FOTD/> A perfectly average mid-April day passed uneventfully here at Fractal Central today, with partly cloudy skies and a temperature of 59F 15C. The fractal cat ignored the weather, exhausting his energy playing under an afghan. The humans had a day as average as the weather. The next FOTD will be posted in one day, maybe two. Until whenever, take care, and when the going gets tough, get going. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Not_Quite_Linear { ; time=0:12:00.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=MandelbrotBC3 function=ident passes=1 center-mag=-21.7682/0.605373/1.223368 params=1.02/0/0/3500 float=y maxiter=3500 inside=255 logmap=80 periodicity=6 colors=000GC8AFMADLAGLAEKAHKAGJAIIAHIAJHAIHAKGAIGA\ LFAKFBMGBMHCNICOICPJDQKDRLDSLETMEUNEVNFWOFXPGYQGZQ\ G_RHaSHbTHeTIfUIiVIkVMmWPnXToXWpY_qYbrZfs_it_mu`pv\ `twawvasu_ptYlsWitUetSbuQ_uOWvMTvLPwJMwHJxFFxDCyB8\ y95z72z6BqBJiGSaL_TQhLVpD_x5cv8buAbtCbsFbrHaqJapLa\ oOanQ`mS`lU`jX`iZ`h`_gc_fe_eg_diZclZbnZapZ`rZ_p`Zn\ aYlbXjcWhdVffUdgUchTaiS_jRYkQWmPUnOSoNQpNPqmNrmLtm\ JumHvmFwmDxmCymGpmJgmMZmL`mLbmLcmLemLfmLhaLiaKkaKm\ bKnbKpbKqbKsbKteQjhVak_TndKqiBsn2mh8hbDccJccOccUcc\ Zcccccacc_ccYccXccVccTccSccQccOccMccLpbvpcvpdwpewq\ fwqhwqiwqjwrkwrlwrmwrnxsoxsqxsrxssxttxtuxtvxtwxuyy\ txxtwxtvxtvxtuwttwtswtswtrwtqvtqvspvsovsnusnusmusl\ uslusktsjtsitsitshtrgsrgsrfsresrmrrmrrmrrmrrmrrmqr\ mqqmqqmqqmpqmpqmpqmpqmpqmoqmoqzoqzoqzorzprzprzqszq\ szrtzrtzstzsuztuztuzuvzuvzvvzvwzwwzwwzxxzxxzyxzzxz\ ywzxvzxuzwtzwtzwszvszvA0F } 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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AOTD 4_14_2013
by JackOfTradeZ＠comcast.net 14 Apr '13

14 Apr '13

. The "pentagon-heptagon" image FOTD 1/26/08. I animated this and uploaded it around Feb 2008, but it wasn't so good; I have long wanted to re-do it and finally have. Much better I think. 1 min 55 sec, 34 meg download. http://www.fractal-animation.net/vid/j2bh.zip comments welcome as always enjoy! JoTz .

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