August 2010 - Fractint - mailman.xmission.com

FOTD 24-08-10 (Seahorse Splendor [8])
by Jim Muth 23 Aug '10

23 Aug '10

FOTD -- August 24, 2010 (Rating 8) Fractal visionaries and enthusiasts: Now and then I like to return to the grandaddy of all fractals, the Mandelbrot set, to show that it still holds some surprising scenes, even at the depths reachable by conventional math. The name "Seahorse Splendor" came naturally, perhaps a bit too naturally, since I did not check to see if I have used this same name previously. The image lies on the eastern side of the northern branch of Seahorse Valley at a depth of 6*(10^10), which is not all that deep. It is also one of the fastest images of all time. I found it in under 5 minutes, and in S-F5 video mode, it takes a whopping 2.8 seconds to finish on the P4-2000mhz machine. I did put some extra effort into the coloring, but it was worth it. The image rates an 8, which is quite high for just another scene in Seahorse Valley. The image may be viewed in all its glory by running the included parameter file or by viewing it in finished form on the FOTD web site at: <http://www.Nahee.com/FOTD/> The skies were cloudy and a few drops of rain fell here at Fractal Central on Monday, but the lack of sun put no damper on the moods of the fractal cats, who seemed quite happy about the pleasantly cool temperature of 75F 24C. In my department things were under control also. The next FOTD will be posted in 24 hours. Until then, take care, and it's hard to put your finger on the universal electron. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Seahorse_Splendor { ; time=0:00:02.80-SF5 on P4-2000 reset=2004 type=mandel center-mag=-0.7454233979438\ 455/+0.1130116239751243/6.270326e+010/1/165/0 params=0/0 float=y maxiter=6000 inside=0 logmap=522 colors=000KcmKcmKcmKcmKcmKcmKcmKcmKcmKcmKcmKcmKcmK\ cmKcmKcmKcmKcmKdlLemMfmNgmOhmPimQjmRkmSlmUmmVnlWok\ XpjVqlTrnRsnPtoNupKvqHvsEvuAuvAtvAsvAsvBrvBqvBpwBp\ wCowCnxCmyClzIkzOjzUiz_hz_gz_gz`hzaiz`jz_kzZlzYmzU\ nzQozMpzIqzJrzKszMszOrwQptSmqUinWemYam_YmaUmcQmeNh\ gKciHZkEUmAPlAKkAFjACi9Hh9MgARfBWeB_eFfeImeJo`KqXK\ pSKoOKnJKmDKl8Kk3KjCKaKKUTKL`LDhO5jP6kQ6lR6mU6mW6m\ Y6m_6ma6mcHmdSmePmfMmgKmhHmgFmfCmeAmdFmcKmbXma_m`b\ m_emZhmYknYnmYolYmkYkjWiiUghSedQcaP`YOYVMVULSSJPQI\ MNGJJEGHDDGBAGDAHFAIH9JK89M89O98P97Q97SA6TA6UABXAF\ ZAJ`ANbASdAWfA_hAcjAhlAlnAppAtrAjqD`pGRoJHnM8mP7iS\ 6fV6cY5_`4Xc4Uf3Qi2Nl2Kn5Ll7Mk9NjBOiDPhFPgHQeJRhLS\ kNTnPUqRUtTSwUSzVTzWUzYVzZWz_Xz`_zbZzc_zdazecz`ezX\ gzSizOkzJmzFozBqzNtzYwzXyzXzzXzzXzzWzzWzzWzzWzyVzx\ VzwVzvVzuUzuUztUztUztZzpbzlfzhjzenzarzYvzVszUpzTnz\ SkzSizRfzQdzQazP_zOXzOVzN } END PARAMETER FILE=========================================

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FOTD 23-08-10 (Bio-Morph on the Move [7.5])
by Jim Muth 23 Aug '10

23 Aug '10

FOTD -- August 23, 2010 (Rating 7.5) Fractal visionaries and enthusiasts: Today's scene features beyond a doubt the most unlikely minibrot I have ever stumbled upon. The image is located in the East Valley area of the large minibrot on the main stem of the parent fractal, which is a grossly oversized Mandelbrot set with deep personality problems. (For a very interesting trip, reset the logmap to zero and take the trip back out to the parent M-set. The scenery along the way is quite unusual.) The name "Bio-Morph on the Move" probably arose when I noticed that the image somewhat resembles a fantastic bacteria. The rating of a 7-1/2 is totally earned by the shape of the image. I put almost no effort into the coloring. The calculation time of 7-1/3 minutes is admittedly a bit slow. So to save time I recommend viewing the finished image on the FOTD web site at: <http://www.Nahee.com/FOTD/> Sunday here at Fractal Central began with a steady rain, but the rain came to an end before noon, after adding up to just over 1 inch or about 3cm. While the rain fell, the fractal cats enjoyed the dryness they found indoors. By 3pm the sky cleared and the sun appeared which sent the temperature to a pleasant 82F 28C. The latter part of the day was as uneventful as the first part. The next FOTD will be posted in 24 hours. Until then, take care, and every time I dream I'm in the fourth dimension, I remember only three-quarters of the dream when I wake up. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Bio-MorphOnTheMove { ; time=0:07:21.66-SF5 on P4-2000 reset=2004 type=formula formulafile=basic.frm formulaname=NewDivideBrot function=recip center-mag=-349.3239392263152/+0.08511431068233609\ /6.198391e+008/1/-152.5/0 params=2.5/200 float=y maxiter=1800 inside=0 logmap=1507 periodicity=10 colors=000m2Vf9Q_GLTNHMUCF`79g3BgCCgLEgTFgaGgiLDmM\ JmNKmOLmPMmQNmROmSPmTQmURmVSmWTmXUmYVmZWm`XgbXadYW\ eYQgZKiZEk_8l_3kb4jd4jf5ih5zm6zp6zs7zw7zz4AJGYcQZk\ UWgQSaMNVIBPF8JB5C7263nu1PT09gY4MHPkaKcVGWPCOJ8GC4\ 86ILfFI`DFWBDQ9AL67G45A225TcNLUHEKB7A5p4ru3dp2Rp1D\ uKWlHRmEMcBIc8DU59U24UlWPcQKWLFOGAGA585KTfGOZDJSAE\ L69E347eHzZPmSPmLPmE54722j6Wv1xm0oe0fX0YP0QG0H808V\ HfQE_MCUH9OD7I84C426ai7Wb6RW5LQ4GJ3AD25614rd3gW2XO\ 1MG0B8T9rO7hJ6_E4R93I419JNvGJmDGeADX89P56G238A7P86\ L75I64F53C329216103Iy89V4XZgSU`NPVIKPEFI9AC4568kZ6\ aS4SL3JE197UjwKVcAFK2nL1aF1PA0C5aYWXTSSPONLKJHGECC\ 988444KgJG_FDTCAM96E6373LveHlZEbSioLonPumThcMWVGJM\ 97D3IEDTFNcGXnHfyHo9oJdvNirLmnJqjIib`jZWkVSlROmOJn\ KFoGBoD7nKLmRYlYkkcxyHTtIXoI`kIdfJhbJlYJpUJsC`Jpt6\ njBmaFkSJjJNiQCiW1aOGVHUOAgH3uH5nH6hH7bH9XHARHBLJA\ NLAPN9QP9SR8US8VY6Vb5Vh3V } 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 22-08-10 (Burgundy Zexpe [7])
by Jim Muth 22 Aug '10

22 Aug '10

FOTD -- August 22, 2010 (Rating 7) Fractal visionaries and enthusiasts: Today's image rates a 7 -- nothing wrong with that! It's a scene in the Zexpe fractal calculated PI levels up the log ladder. This parent fractal has two main buds, one on the southeast shore of the main bay, the other on the northeast shore. The northeast bud is more of a cove than a closed-off bud. Today's image lies rather deep in a valley on the north side of this northeast cove. I named the image "Burgundy Zexpe". The deep red colors of the six radiating arms remind me of the color of that wine made in France. The rating of a 7 is just far enough above average to be interesting. The calculation time of 1-1/4 minutes will pass in a flash. The flash may be avoided by flashing out to view the finished image on the FOTD web site at: <http://www.Nahee.com/FOTD/> Saturday was a day of nothings here at Fractal Central. It was not sunny; it was not cloudy; it was not hot; it was not cold; it was not wet, nor was it dry. The sky was a hazy white color, with a blurred sun filtering through. Exactly three drops of rain fell, while the temperature was a perfectly average 84F 29C. The fractal cats had an average day, which means checking for intruding cats every so often, eating, playing, and sleeping. My day was average also, as was FL's. The next FOTD will be posted in 24 hours. Until then, take care, and search for the secret key. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Burgundy_Zexpe { ; time=0:01:14.54-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=MandelbrotBC3 function=ident center-mag=+0.9202794160124455/+0.3485306379947302\ /1.979387e+012/1 params=2.71828182845905/0/3.14159\ 265358979/0 float=y maxiter=2400 inside=0 logmap=165 periodicity=6 colors=00065d77e89f9BgADhBFiCHjDJkELlFPmESlEWjD_hC\ bfCfdBjbBmaDi_FeZGbXIZWKWULSTNPSPLQQHPSENUAMV7KX3J\ Y0IV1HT2HR3GP4GN5FL6FJ7EH8EF7DD6DB5DB0HF0KI0NMCRQD\ UTDXXD_`DccDfgEikEmnEprEsuEvnLqhSlbZgXebRlYLsUOrUQ\ rUSrUUqUWqUYqZ`pcbphdpmforhozjozhhzgazfVzdOzcHzbBj\ cFfcIcdL`dPXeSUeVReYOfaKfdHggEgkAhn7hq4ht1gp3fm5ej\ 7dg9ccBb`DaYF`VH_SJZOLYLNXIPWFRVCTUMSTVRScQRlPQuOU\ vSXvW_vZbwbewehwikxmnxpqxttxwksqcnkWieNd_F_U7VOIQM\ TMKcHInDGx9Eo6Gg3I_0J_4L_8M_CN_GO_KP_OQ_RR_VT_ZU_b\ V_fW_jX_nY_qZXgjUYtVZuV_uV`uWavWbvWcvWdvVgdRgPViOY\ jN`kMclLfmKinJloJefFdR7hR5iWBi`HieNdhL_kJVnIQqGLtF\ GwDCyCz`UmCjmBbmAWm9Pm8Hm7Am73mIBzTJzbRzmZzwfWx`Rz\ VzzQGzKBzFzzLIzQMzWzz`MzaJzazzbzzbzzbzzczzc1zczza6\ z_zzYBzWzzU5zqzzYhzbzzgizlzzpzzfzzdzzbzzazz_zzYzzX\ zzQzzUzzXzz`zzczzfzzjzzmzzhzzlzzpzzczzzzzszzlzzezz\ fzzfzzgzzgzzhzznzzhzzbzzX } 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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Blue Convolutions
by Roger Alexander 22 Aug '10

22 Aug '10

Seeing as today's fractal in the original gif form is as sparklie as 4th of July fireworks I immediately knew I had to re-sample it. Gif and jpg available at http://maxitersfractalfollies.blogspot.com. fract375.gif { ; blank ; blank ; calctime 0:17:07.54 ; created Aug 20, 2010 ; Fractint Version 2004 Patchlevel 9 reset=2004 type=formula formulafile=_i.frm formulaname=IkenagaPwrJul center-mag=2.79251/2.6067/0.3254414/1/50.0000000000000071/-1.23373533611\ 470521e-014 params=-0.1857051301614429/0.3055207983642079/-0.004425183874019594/0.40\ 59877315591907 float=y maxiter=1200 logmap=14 invert=0.186071352275155/-0.52500991851558/-0.168614764854885 colors=00100100100100100100100200200200200200200300300300300300300400400\ 400400400400500500500500500500600600600600600600700700700700700700800800\ 800800800800900900900900900900A00A00A00A00A00A00B00B00B00B00B00B00C00C00\ C00C00C00C00D00E00F00G00I00J00K00L00M00N00P00Q00R00S00T00U00W00X00Y00Z00\ _00a00b00c00d00e00f00h00i00j00k00l00m00o00p00q00r00s00t00v00w00x00z01z02\ z03z04z06z07z08z09z0Az0Bz0Dz0Ez0Fz0Gz0Hz0Iz0Jz0Lz0Mz0Nz0Oz0Pz0Qz0Sz0Tz0U\ z0Vz1Wz1Xz1Xz1Yz1Zz1_z1_z1`z1az1bz1bz1cz1dz1ez1ez1fz1gz1hz1hz1iz1jz1kz1k\ z1lz1mz1nz1nz1oz1pz1qz1qz1rz1sz1tz1tz1uz1vz1wz1wz1xz1yz0zz3zz7zzBzzEzzIz\ zMzzPzzTzzXzz_zzczzgzzjzznzzrzzvzzszzozzkzzhzzdzz`zzYzzUzzQzzNzzJzzFzzCz\ z8zz4zz0zz0zz0yz0yz0xz0xz0wz0wz0vz0vz0uz0uz0tz0tz0sz0sz0rz0rz0qz0qz0pz0p\ z0oz0oz0nz0nz0mz0mz0lz0lz0kz0kz0jz0jz0iz0iz0hz0hz0gz0fz } frm:IkenagaPwrJul {; from Jon Horner - asymmetric ; try p1 = (0.035, -0.35), p2 = 2 z = pixel, c = p1: z = z * z * z + z * (c-1) - c ^ p2 |z| <=4 ;SOURCE: ikenaga.frm } Roger Alexander

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FOTD 21-08-10 (The Twin Peaks [6])
by Jim Muth 21 Aug '10

21 Aug '10

FOTD -- August 21, 2010 (Rating 6) Fractal visionaries and enthusiasts: Today's scene is located in an area of anti-bifurcation in the large minibrot on the west branch of the filament extending from the large northern bud of the parent almost-Mandelbrot set. This large minibrot is in the process of morphing from quadratic to order-6. The much tinier minibrots in the image have completed the change and are of purely order-6 nature. The thing that caught my eye is the area at the center of the frame, where the basins of two minibrots have blended into a single oblong gully with a saddle- shaped ridge at the center. The whole thing sounds a bit more impressive than it looks however, so I could rate the image no higher than a 6. The name "The Twin Peaks" is rather misleading. Actually, the two minibrots lie at the centers of basins, so perhaps I should have named the image 'The Twin Basins'. Most of the detail was achieved by rendering the scene with the outside set to 'tdis', which colors the points according to the total distance they travel before escaping. The calculation time of 33 seconds is brief by any standards beyond those of the sub-atomic realm, so little time will have been wasted if the calculation results in disappointment. The way to avoid all waste is to view the already-calculated image on the FOTD web site at: <http://www.Nahee.com/FOTD/> Things began warming up here at Fractal Central on Friday when the temperature reached 88F 31C. The fractal cats complained about the sun that is now striking their cool kitchen floor a little longer and stronger every day. In my department things went well enough. If all continues to go well, the next FOTD will be posted in 24 hours. But if the antiquing bug bites, it could be delayed 12 hours or so. Until whenever, take care, and if we are emergent phenomena, where were we before we emerged? If the answer is 'nowhere', then what is the chance of each particular individual conscious mind ever coming into existence at all? Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= The_Twin_Peaks { ; time=0:00:33.51-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=FinDivBrot-2 function=recip center-mag=-0.1603922722475426/+1.037581962846677/\ 1.920161e+010/1/-40/0 params=6/50000/0/0 float=y maxiter=1500 inside=0 outside=tdis periodicity=6 colors=000OZOPYMQWKRUISSGTQEUQATPCSODRNFQMGPMHOLJN\ KKMJMLINKIOJHQIGRHFTGEUFEVEEWDDXDDXCCYBCZBC_AB`9Ba\ 9Ba8Ab7Ac7Ad69e59f59f6Ae7Bd7CcKRL8Db8Da9E`AF`AG_BG\ ZBHYCIXzzzzzzzzzyzzyzzyzzxyzxxzwwzwvzwtyvrxtpwqnun\ lskjqggmdej`cgY`dUZaRXZNVWKTTIQQGNmEKmUazPXz4qz7le\ AhaCdYF_UIWQ48G69H7AI9BIACJCDJDEKFFKGGLIHLJIMi70g8\ 1f82e93d94cA5bA6aB7`B8_B8ZC9YCAXDBWDCVEDUEETFFSFFR\ FGQGHPGIOHJNHKMILLIMHaPI`OI_OIZO9Q78U87Y97`A6dB5hD\ 5kE4oF3sG3vH5rL7oO9lRAhUCeYEb`GZcHWfJTjLPmNMpOJsNM\ pNPnNRkNUiNWfNZdN`aNc_NeYTbUY`QbZMgXIjUElVFnVGoVGq\ WHrWHtWIuWIsUJrSKqRKpPLnNMmMMlKNkJNiHOhFPgEPfCQdAR\ c9Rb7Sa6Sb7Vc7Xd7_d7ae7df7fg7ig7kh7ni7pj7sj7uV2lNH\ mFVm8hmXVfuH_qIYnJWkKUhKSeLQbMP_NNXNLUOJRPHPRIOPGO\ NFOLDOKCNIBNG9NF8ND6MB5MA4M82M61M50P64R77T8AV9EXAH\ ZBK`COcCReDUgEYiF`kGcmHgoIjxCoqImkOldUjZZiSdgMjfGo\ eHmcIkaJi_KgYLfWMdUNbSN`Q } 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 20-08-10 (From Epsilon to PI [7])
by Jim Muth 20 Aug '10

20 Aug '10

FOTD -- August 20, 2010 (Rating 7) Fractal visionaries and enthusiasts: On Thursday I was occupied with the 'Zexpe' series of formulas (formulae is the plural word for the over-educated) and tried one of my own. Using the MandelbrotBC3 formula, I checked to see what the Zexpe fractal looks like at a level of PI steps up the complex logarithmic hyperladder. The parent fractal that I found there looks pretty much like the minibrot at the center of today's image, though it is rotated 180 degrees, and as today's image shows, it is quite interesting in its depths. Today's scene lies in a valley of its parent that corresponds to the small valley near the center of the eastern shore line of the main bay of the minibrot at the center of the image. The rating of a 7 means I consider today's image to be a bit better than yesterday's, yet nothing to get over-excited about. The name "From Epsilon to PI" fairly describes the math behind the image. The calculation time of 1-1/2 minutes is fast by any standards. But viewing the finished image on the FOTD web site at: <http://www.Nahee.com/FOTD/> is less work and more fun. Perfect weather prevailed here at Fractal Central on Thursday -- sunny skies, low humidity and a temperature of 84F 29C. The fractal cats had a thrill when a very loud fight broke out between two cats in the yard next door, but they seemed a bit disappointed when one cat, presumably the loser, made a cautious retreat before the dispute could escalate to physical violence. My day was slow, which gave more time to waste before searching for fractals. The next FOTD will be posted in 24 hours. Until then, take care, and I found a mind lying on the basement stairs. Did anyone lose theirs? Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= From_Epsilon_to_PI { ; time=0:01:28.70-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=MandelbrotBC3 function=ident center-mag=-0.1738289076076641/+0.3463464790189864\ /9.098551e+008/1/152.5/0 params=2.71828182845905/0\ /3.14159265358979/0 float=y maxiter=3600 inside=0 logmap=129 periodicity=6 colors=000E28F3BG4EH5HI6KJ7NK8QL9TMAWNBZOCaPDcQEcR\ FcSGcTGcUGcRGcOIcKJcIJdGJeEJfCKgAKh8Kk6Kn7Lq8Nt9Qw\ HTzRVzZ_ybcxgfxlgzoiqshkvddwVZmNScHLU6F4sbBpVHmONj\ HTgAZd3`jBcoJmuRzzY4EA5FG5GM6HS6HY7Ic7Ji8Ko8KuAYoC\ kiEydKs`QmYWgVcaRjWOrRLkPHdOEYNAQM7JL4EI3AG2JFBSEK\ aDTjDagHZeKXcNUaQSZUQXXNV_LTbJQdLOeNMgPKhRIiTGkVEl\ XCmZAo`8pb6qd4sf2th0uj3rk5pk8nkAlkCjkFhkHfkJdkMalO\ _lRYlTWlVUlYSl_QlaOlcPjdQieRggSfhTeiUcjVblV`mW_nXZ\ oYXqZWr_Us`Tt`StZPtXNtVLtTJtRHtPEtNCtLAtJ8tH6jE7aB\ 7T87J57A271070039yy8tt7pp7kk6gg5bb5ZZ4VV3QQ3MM2HH1\ DD188044PYuNVpLTlJQhHOdGL`EJXCHTAEO8CK79G57C348124\ 3oS2bL1QE0D7upgpkckg_fbXaZTXUPTQMOMIJHEEDB987443w1\ mw0hw0cx0Zx0Ux0Px0Ky0Fy0Ay05yI5zC3z6zzEszCzzBhzAzz\ 8Zz7zz6Pz0zzE9zDzzDAzDzzDCzCzzCEzUzzCFzUzzKCzUzzR9\ zUzzY7zUzzk9zUzzbIzUzzTRzUzzNSzMzzLMzKzzIHzHzzGBzF\ zzJGzNzzMTzLzzLdzKzzJpzJz } 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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Scales
by Roger Alexander 20 Aug '10

20 Aug '10

The scaled appearance of today's fractal is a result of using outside=tdis. Animal,vegetable, or mineral? The cool cyan of the palette was meant to suggest the crystalline organic. Gif and anti-aliased jpg posted at http://maxitersfractalfollies.blogspot.com. fract373.gif { ; fract371.gif remix ; blank ; calctime 0:10:24.44 ; created Aug 18, 2010 ; Fractint Version 2004 Patchlevel 9 reset=2004 type=formula formulafile=*.frm formulaname=quadros_rjr_b function=sin/sqr center-mag=3.40426/-0.400668/0.3333333 params=-0.5617542039246803/-0.9863277077547532/-0.7856990264595477/0.467\ 574083681753/0.2355113376262703/0.07028412732322153 float=y maxiter=1500 bailout=1200 inside=0 outside=tdis colors=00Kbuvcwwdxxfzzfzzeyydyydxxcwxbvwavwauv`tv_tuZsuYrtYqtXqsWpsVorVo\ rUnqTmpSlpRloRkoQjnPjnOimOhmNglMglLfkLekKejJdjIciHbhHbhGagF`gE`fE_fDZeCY\ eBYdAXdAWc9Wc8Vb7Ub7Ta6Ta5S`4R_3Q_2PZ2PZ1OY0NX1NX2OY3PY4QZ5R_6R_7S`8Ta9U\ aAVbCWcDXcEYdFZeG_eH_fI`gJagKbhLciMdiNejOfkPgkQhlRhmSimTjnUkoVloXmpYnqZo\ q_pr`qsaqsbrtcsudtueuvfvwgwxhxxiyykzzjyyixyhwxgwxfvweuvdtvcsubrtart`qs_p\ sZorYnqXmqWmpVloUkoTjnSinRhmQhlPglOfkNekMdjLciKciJbhIagH`gG_fFZfEZeDYdCX\ dBWcAVb9Ub8Ua7Ta6S`5R`4R_3QZ2PZ1OY0NX1NX2OY3PY4QZ5R_6S`7T`8Ua9VbAWcBXcCY\ dDZeE_fF`fGagHbhJciKdiLejMfkNglOhlPimQjnRkoSloTmpUnqVorWprXqsYrtZsu_tu`u\ vavwbwxcxxbwxavw`uvZtuYrtXqtWpsUorTnqSmpRkoPjnOimNhmMglKfkJdjIciHbhFagE`\ fD_fCYeAXd9Wc8Vb7Ta5S`4R_3QZ2PY0NX1OX2PY3QZ4RZ6S_7T`8Ua9VbAXbBYcDZdE_eF`\ fGafHbgIchKdiLejMfjNgkOhlPimRjnSlnTmoUnpVoqWprYqrZrs_st } frm:quadros_rjr_b {; ba and rjr y2k03 ; As posted in Fractal-Art, 4/28/97 z=fn1(pixel+abs(p2))/fn2(pixel+abs(p3)): z=p1*sin(z) |z| <= 100 ;SOURCE: 97msg.frm } Roger Alexander

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FOTD 18-08-10 (Zexpe Thing [7?])
by Jim Muth 19 Aug '10

19 Aug '10

FOTD -- August 18, 2010 (Rating 7?) Fractal visionaries and enthusiasts: Today's image is a scene in the 'Zexpe' fractal, the Mandeloid created by the formula Z^(epsilon)+C. I think the fractal was given its name by Lee Skinner, who did quite a lot of work with this fractal a number of years ago. The Zexpe fractal rather resembles the cubic Mandelbrot set, though the two main buds are shifted well around toward the negative X-axis. The most interesting part of the Zexpe fractal however lies at the western edge of the main bay, near the X-axis, where all kinds of chaotic things happen. Today's image lies in a phantom valley in a larger minibrot in this chaotic area of the parent Zexpe fractal. It is is a good example of some of the strangeness found there. I named the image "Zexpe Thing", which is what it is. I rated it at a 7?, which is what I think it's worth. The question mark implies that the image might not be entirely of my own creation. The calculation time of 5 minutes is a small price to pay for an enjoyable image. And those pressed for time may always view the finished image on the FOTD web site at: <http://www.Nahee.com/FOTD/> Today's image may owe more to Lee than meets the eye. The image is a zoom into an old image, which I found on a floppy disk that had been stored away for over 10 years. I might have taken that old image from the CD of fractals that came with the second edition of "Fractal Creations". I long ago misplaced that disk. Lee produced many Zexpe images for that CD, and the old image that I found on the floppy disk was created by a formula named 'Zexpe', which I do not have in my files. (I had to make a para- meter file of the original image and edit it so that it would work with the manzpower formula.) The colors are of my own invention however. Now on to what you have all been waiting for -- the weather! Actually, some very pleasant weather prevailed here at Fractal Central on Tuesday, with an azure blue sky decorated with angel- hair cirrus and cottonpuff cumulus clouds, lower humidity, and a temperature of 84F 29C. Nicholas, the oversized all-black gentleman fractal cat, enjoyed the conditions from the top of the secretary, while Cassie, the petite gray lady fractal cat, chose the top of the side-by-side, next to Nicholas. I found my enjoyment in the workroom, where the day's work went unexpectedly smoothly. If all continues going well, the next FOTD will be posted in 24 hours. If not, then look for it anyway. Until then, take care, and when the world ends, will fractals still exist? Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Zexpe_Thing { ; time=0:05:03.10-SF5 on P4-2000 reset=2004 type=manzpower passes=1 center-mag=-0.7104986483027282/+0.077324933946310\ 76/2.344236e+007/1/-97.5/0 params=0/0/2.7182818284\ 5905/0 logmap=381 float=y maxiter=4200 inside=0 colors=000mavnbvnbvobvpcvpcvqcvqdvrdwsdwsewtewuewu\ fwvfwvfwtetsdrrdopcmocknbhnafmacm`am`_m_XkZVjZSiYQ\ hYOlVNoTMrRLrPKrNJrLIrJIrKHrLGrLFrMFqMEnNDlNCiOCgO\ BdPAbP9_Q9YQ8UR7RR6NS6KS5GT4ET4GS8ISBKSEMRHORLQROS\ RRUQUWQXYQ`_PcaPfcPiePmgOpiOskOvmOyXLkHJYMTXRaXWkW\ `tWbnTdhRfbOhXMjRKlLHnFFp9Dn9Gl9Jj9Mh9Pf9Sd9Vb9Y`9\ `Z9cX9fV9iT9lS9n`EhhJcqOYySTxR`wRhtSfrSepScnSblSaj\ S_hSZfSYcTWaTV_TTYTSWTRUTPSTOQTNRRQRQSSPUSOWSNZTM`\ TLbTKdUIgUHiVGkVFmVEpWDrWCtWBvXFpYJkYNfZRaZVX_YR_a\ M`eH`iCam7ap2VtROxoPtnQpmRlmRhlSdkT`kUXjkPUgXpUHdX\ HgXDgWFfKHfUIfTKfSMfRNfQPfPReOSeNUeMWeLXeKZeJ`eIaz\ HczGezFfzEhzDjzDkzCezB_zAVzAPz9Jz8Ez78z73E84F85G96\ H97IA8JA9KB9LBAMCBNCCODDPDEQEEREFSFGTFHUGIVGJWGJXH\ LWLNVPOUUQVZSZcTchVhmXmrYrvXvzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzzzzzz9zz9zzAzzBzzDzzDzzFzz\ Izzzzzzzzzzzzzzzzzzzzzzzz } END PARAMETER FILE=========================================

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Looping Lines
by Roger Alexander 19 Aug '10

19 Aug '10

Today's post is a incandescent newton which curving looping lines echoes the Art Noveau movement. Fractint is equally capable of emulating the angular geometry of the Art Deco design. Fractint, a graphics program for all seasons. Ready made gif available at http://maxitersfractalfollies.blogspot.com with a bonus resampled gif in jpg form. fract369.gif { ; crazy newtons ; blank ; calctime 0:01:38.59 ; created Aug 17, 2010 ; Fractint Version 2004 Patchlevel 9 reset=2004 type=formula formulafile=crazynwt.frm formulaname=Newton5fn function=cosxx center-mag=0.13277/0.211484/1.279251/1/40.0000000000000284/-8.8672125198\ 0304714e-014 params=3.477034821619312/2.117496261482589/1.95089571825312/3.5909298989\ 83734 float=y maxiter=1500 inside=0 outside=imag cyclerange=1/1 colors=000000000000000000000000000000000100100200400500700900B00D00G00I0\ 0L00O10Q10T10W10Z10a10e10h20k20o20r20v20y20z30z50z60z80z90zB0zC0zE0zF0zH\ 0zI0zK0zL0zN0zO0zQ0zR0zT0zU0zW0zX0zZ0z_0za0zb0zd0ze0zg0zh0zj0zk0zm0zn0zp\ 0zq0zs0zt0zv0zw0zy0zz1zz3zz4zz6zz7zz7zy7zx7zx7zw7zv7zv7zu7yt7ys7ys7yr7yq\ 6yq6yp6yo6yo6xn6xm6xl6xl6xk6xj6xj6xi5xh5wh5wg5wf5we5we5wd5wc5wc5vb5va5va\ 5v`4v_4vZ4vZ4vY4vX4uX4uW4uV4uV4uU4uT4uS3uS3uR3tQ3tQ3tP3tO3tO3tN3tM3tL3sL\ 3sK3sJ2sJ2sI2sH2sH2sG2sF2rE2rE2rD2rC2rC2rB1rA1rA1r91q81q71q71q61q51q51q4\ 1q31p20p20o20n20m20m20l20k20j20j20i20h20g20g20f20e20d20d20c20b20a20a20`2\ 0_20Z20Z20Y20X20W20W20V20U20T20T20S20R20Q20Q20P20O20N20N20M20L20K20K20J2\ 0I20H20H20G20F20E20E20E20D20D20C20C20C20B20B20A20A20A2092092092082082072\ 0720720620620520520520420420420320320220220220120120010 } frm:Newton5fn { z = pixel+1/fn1(p2 * pixel-p1) : z = (4*z^5+1)/(5*z^4) 0.001<=|z^5-1| ;SOURCE: crazynwt.frm } Roger Alexander

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FOTD 19-08-10 (Nearly Quadratic [6])
by Jim Muth 19 Aug '10

19 Aug '10

FOTD -- August 19, 2010 (Rating 6) Fractal visionaries and enthusiasts: Today's image is named "Almost Quadratic". The reason is that the exponent of Z is 2.01, which is almost quadratic. The parent fractal is a Mandelbrot set, no surprise there, but this set is rotated 180 degrees, so that East Valley is on the west side of the main bay and the main spike points east. Both East Valley and the main spike have split into fractalized pieces, with the greatest distortion on the southern branch of Seahorse Valley and the southern shore of the large period-2 bud. But the Seahorse Valley distortion is an FOTD for another day. Today we are concerned with the things happening to East Valley, which has broadened into a wedge. Today's image lies in a curious patch of debris near the northern edge of this wedge. All this strangeness might appear good in writing, but on the screen, even when helped by the 'tdis' outside option, it makes an image that I can rate no higher than a 6. The calculation time is a borderline slow 5-1/2 minutes. The best way to avoid the wait is to rush carefully to the FOTD web site at: <http://www.Nahee.com/FOTD/> and view the finished image there. Lots of clouds, a little sun and a temperature of 82F 28C made Wednesday a rather pleasant but uneventful day here at Fractal Central. The fractal cats were not concerned with the outside weather however. Nicholas somehow worked open one of the high unused cabinets in the kitchen and disappeared inside for a couple hours during the afternoon. Cassie checked the space but decided not to go in. In my department, things were about average. The next FOTD will be posted in 24 hours, and that certainly is average. Until then, take care, and if all electrons are exactly the same, how can we distinguish one from another? Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Nearly_Quadratic { ; time=0:05:23.51-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=MandelbrotBC3 function=ident center-mag=-0.258603580125043/-0.00230274752051391\ /2.985925e+008/1/166/0 params=2.01/0/1.5/0 float=y maxiter=4200 inside=0 outside=tdis periodicity=6 colors=000RbBUb3ZZ6bW9fSCjPEcYNYfWRodLxmOqnQjnTdnV\ YnXSnUWoRZpPbqMerKhrLkdMnRMpDOoJPnPQmVRl`SkfTjlUir\ ViwjSmzAcsDbmFagIa`K`VN_PP_MRXF3PD5MFQPDDMBBJ99HD4\ GHDFK2EG8LCDR8IXGPYNVYUaY`gYgmYifUj_RlTOmMKoFHp8Eq\ 1cT8zpjzo9zkZzgUzd8z`8zX7zU7`Q7_N7ZR9VVARZCOacKeEG\ iGDmH9pI6qP7qV8ra8rg9rm9nnEjnJfnNbnSZoXVo`RoeNoiLq\ eKraIsZHtVGuREvODwKCxH6tJ1pK5qH9rFDsDHsBIlGIeKIZOI\ SSILWIE_I7cI0gN8hRFiVMi_Tjc_jgfkkmkjniiohipghqegrd\ gscilbjebkZbg`ZcbW_dTWeQSgNOiKKkHHlEPnHWoKcqMjrPqs\ RvL7nK9gKA`JBUJCMIDFIE8HF1HG7myPdefXNwP4oV4g`4_e4W\ b8S_BOXELUHHRKDONALQ9KV9K_8Jd8Ji7In7Is7IwaG9YLBVQD\ SVEPZGMcHJhJGlK9kK2kK5mP8nUBpZEqbHrgKtlNuqQvucx_py\ Er6df5WaE`YNdTWhPclWcOYVK_MHaDEc5B`L83YvG`mTcddeWf\ aZhY`jVclRemOgVbZCqQEpSGoUInWJmYLl_NkaOkcTldXle`le\ dlfhlgllgplhtlhsjarhVrgOqeHpcApb3jZBeVI`SQWOXQKcLH\ kGDrBAygOSl`_qmgkgeKeTNcJ } 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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