April 2009 - Fractint - mailman.xmission.com

FOTD 17-04-09 (Peak of Destruction [8])
by Jim Muth 17 Apr '09

17 Apr '09

FOTD -- April 17, 2009 (Rating 8) Fractal visionaries and enthusiasts: Today's image is a scene in the fractal that results when the formula Z^(1.3)+C is calculated at a level of 1 minus PI on the logarithmic hyper-ladder. A jagged minibrot lies at the center of the image, though it is rather obscured in the glare of a fractal nuclear explosion. I named the image "Peak of Destruction", which is kind of what it looks like. The rating of an 8 includes a mighty 2 points for the coloring. Without the special coloring effects, the image is rather boring and worth no more than a 6. I used the passes=b option because I like to see it working. The outside=tdis option is necessary for the explosive effect. The calculation wait of 1-1/4 quick minutes may be avoided by viewing the already-calculated image on the FOTD web site at. <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Total sun and a temperature of 66F 19C here at Fractal Central on Thursday gave the fractal cats their best day so far this spring. If my day had not been so busy, it might have been my best day of the spring also. FL had a very good but rather hard day starting her garden work for the season. The next FOTD will be posted in 24 hours. Until then, take care, and look for the ultimate fractal. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Peak_of_Destrution { ; time=0:01:16.04-SF5 on P4-2000 reset=2004 type=formula formulafile=basic.frm formulaname=MandelbrotBC3 function=floor passes=b center-mag=-1.919725495606011/+1.976500603464784/\ 3.008302e+011/1/-97.5/0 params=1.3/0/-2.1415926535\ 8979/0 float=y maxiter=2000 inside=255 outside=tdis logmap=117 periodicity=10 colors=000zzzzzzzzzbJkgVflebjadiYehUffQgeNhdJjbFka\ Bl`7m_4nV9mQEmLImGNlBRl6Wl2_lBajKciTeg`ffihdrjczkb\ ymZxoWwqSvsPuuLuwIqsHmoGilFehEadDYaCUYCQUBMRAIN9EJ\ 8AG76C6296485585685875975A75C65D65E65G55H55I55MA6P\ E6TJ6WN6_S7bW7f`7id7mi8pm8tr8wv8tsAqpBomCljDjgEgdG\ daHb_I_XJYUKVRMSONQLONIPLGQJEOIDMHCKGBJFAHE9FD8EB6\ CA5A948837725613502_SY`PZaNZcLZdJ_eG_gE_hC`iA`j8`i\ 7ai7bh7ch7cg6dg6ef6ef6ff6ge5ge5hd5id5jc4jc4kc4lb4l\ b4ma3na3n`3o`3p`3p_6o_8n_AmZCmZFlZHkZJkYLjYOiYQiYS\ hXUgXWgXZfW`eWbeWddWgcVicVkbVmaVoaSlZPjWMgUJeRGbPD\ `MAYJ7WH4TE2RC3QD4PD4OD5ND6ND6MD7LD7KD8JD9JD9IDAHD\ AGDBGDCFDCEDDDDDCDECDFBDFADG9DG9DJACLACNABQABSAAUA\ AXAAZA9`A9cA8eA8gA8iFDkKHmPLoUPqUKsUUuYWwYXxcYyXZz\ c_zf`zgazhbziczjdzkezlfymgynhzoizpjzqkzrlzsmztmzum\ zvmzwmzxmzymzzmzzmzzmzzmzzmzzmzzmzzmzzmzzmzzmzzmzz\ mzzmzzmzzmzzmzzmzzmzzmzzz } 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 16-04-09 (Split Fractality [8.5])
by Jim Muth 16 Apr '09

16 Apr '09

FOTD -- April 16, 2009 (Rating 8.5) Fractal visionaries and enthusiasts: Today's image came about when I added 0.5 part of Z^(-12.6) to 5 parts of Z^(-1.26) and added (1/C) to create a fractal consist- ing of a disembodied filament with a ring at its end, surrounded by a cloud of other smaller rings. Today's scene is located in an even smaller ring in one of these smaller rings. The scene is semi-evaporated, with the circumference of the evap- orated area bisecting the image from upper left to lower right and cutting exactly through the center minibrot. The extremely critical imag(p3) parameter defines the escape radius and there- fore the position of the evaporation circumference. The upper right half of the image, which is partially evapora- ted, consists of a mixture of outside and inside stuff, with the inside stuff made visible by the 'zmag' fill, while the lower left half is all outside stuff rendered in the usual 'equal-iter- ation-band' manner. The difference is quite apparent. I named the image "Split Fractality", which sounds a bit like 'split personality'. Then I rated it at an 8.5, which includes 1/4 point for the mathematical interest and 1/4 point for the coloring. The calculation time of 2-1/2 minutes is about average. The image may be seen faster by going to the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> and meditating on the finished product. Wednesday began with heavy rain here at Fractal Central, but by noon the rain ended and by 3pm the sun appeared, giving the fractal cats just enough time in the sun on their shelf to keep them happy. The temperature of 45F 7C did not worry them. My day was average. The taxes were out of the way weeks ago, so we had no last minute tax surprises. The next FOTD will be posted in 24 hours. Until then, take care, and how can you be sure that no invisible fractal is lurking in that corner over there? Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Split_Fractality { ; time=0:02:32.32-SF5 on P4-2000 reset=2004 type=formula formulafile=allinone.frm formulaname=MandAutoCritInZ function=recip passes=1 center-mag=+7.379862680725198/+0.3887433179391824/\ 6.696877e+007/1/-115/0 params=5/-1.26/0.5/-12.6/0/\ 1.9405265505e+021/0/0 float=y maxiter=750 inside=zmag periodicity=10 colors=000egbMaM2W56MKACYBjVAmz8`h7Wo6RvHWjS`ZaeO`\ `M_XK_SIZOGZJEYFCYAAX68X27Z69_ABaECbIEjMFjQHtUJhXK\ i`MjdNlhPmlRosStwUzzVozZnvbmueluijtlitphssgswfsz`l\ wWetR_qMTnHNlFQkESjCViBXh9Zg8ag6cf5ee3hd2jc1lc8jaE\ i`KhZQgYWfWaeVgdTmcSsbQyaPx`Ow`Ow_Ov_OvZOuZOuYOtYO\ sXOsXOrWOrWOqVOqVOuNOsRQrUSqXUp`WncXmfZlj`kmbjpcfl\ XbiQZeJVbCTeDRgEPjFNlGLnHToS`obhpmppwlquhrtdrs`srY\ tpUtoQunMvmIvlFwjBxi7xh3yg0yf5tc9p`DlYIhVMdSQ`PVXM\ ZTJbPGfLEWUGLbIAkK0tMAsQKrUUqXcp`mpcio`fnZcmX`lVYk\ TVjQSiOPhMMgKJfIGeGFbJF`LEZNEXPEURDSTDQVDOXCLZCJ`B\ HbBFdBCfAAhA8jA6lneejbdg`ddZd`WdYUcVScRPcONcLLcSJg\ YHkdFokDsqBvnGulLtiQsgVrd_qbdqeZmhUjkPgnKcqF`sAYn8\ Vi7Td5Q_4OV2LQ1JM0H4RhDMgMHfUDePFZLHTGJNCKHFbSItbO\ veUwg_yidzkXrbPjUHbL9VD9XF0u70x70zT0zo0zz0xz0vz0mz\ 1iz3cz3_z4Tz6vz6Jy7Fx7Ax6Fr4Jm4vi3Sd3X`1`X0000iO0l\ P7gLDcQuJFrOJoSNmWRj_VgcZ } 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 15-04-09 (Planetary Nebula [8.75])
by Jim Muth 15 Apr '09

15 Apr '09

FOTD -- April 15, 2009 (Rating 8.75) Fractal visionaries and enthusiasts: Today's image shows an apparently cubic minibrot caught in the act of anti-iterating, a phenomenon that I recently discovered, or more accurately heard about. I named it "Planetary Nebula" because it rather looks like one. Anti-iteration is when the number of elements is repeatedly cut in half as we approach a point of attraction, rather than constantly doubling, as is the case with normal minibrots. (A planetary nebula is formed when a normal-sized star runs out of nuclear fuel late in its life and puffs off its outer layers in a gaseous shell until it finally collapses into a white dwarf.) On the surface, the parent fractal of today's image resembles a grossly oversized Mandelbrot set, but deep in its depths every- thing turns cubic. Today's scene is located on a filament exten- ding southeast from the main bay of the third largest minibrot on the main stem of the Mandelbrot-like parent, at a depth where everything has become almost but not quite cubic. The rating of an 8-3/4 includes 1/2 point for mathematical interest and 1/4 point for the coloring. The calculation time of an incredibly fast 43 seconds will pass in an instant when the top part of the image first appears. Those with a high- speed connection to the internet may download the finished image from the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> in even less time. Those with a dial-up connection may need to wait a few seconds longer. Clouds, rain and drizzle kept the fractal cats in a sour mood all day Tuesday here at Fractal Central. The temperature of 48F 9C cheered them none at all. Only a combination of tuna, turkey and cheese made the duo bearable. My day was a bit improved however -- the day's work went better than expected. If the luck holds, the next FOTD, which will be posted in 24 hours, will also be better than expected. Until then, take care, and if the government gave everyone a tax refund of one million dollars, all our economic problems would instantly be solved as they went out and spent the money. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Planetary_Nebula { ; time=0:00:43.63-SF5 on P4-2000 reset=2004 type=formula formulafile=basic.frm formulaname=DivideBrot5 center-mag=-40.49524913009\ 69/-0.1710667530665/1.65e+009/1/-122.5/0 inside=255 params=3/25 float=y maxiter=1500 periodicity=10 colors=000PFpPCqPArP8rQApRBnSClTEjUFhVGgWIeXJcYKaZ\ L__NY`OXaPVbRTcSRdTPeUNfWMgXKhYIi_Gj`EkaClbBkaCkaD\ k`Dk`Ek_Ek_FkZFkZGjZGjYHjYHjXIjXIjWJjWJjWKiVLiVLiU\ MiUMiTNiTNiSOiSOhSPhRPhRQhQQhQRhPRhPShPSiSRiUQiWPi\ YPj_OjaNjcMjeMkgLkiKkkJkmJlkKliKlhLlfLldMlcMlaNl_N\ lZOlXOtM4lWOjcWdefZgpUhzTgyTfxTfxTewTevTdvTduTctTc\ tTbsTbsTarTaqT`q000555AAAEBEFBFFCHGDJGEKHFMHGNIHPI\ IRJJSIKUILWHLXHLZGL_FLaFLcELdELfDLhDLiCLkCLlBLnBLp\ ALqALs9Lu9Lv8Lx6Jz8LyANyBPyDRyETyGVxHXxJZxK`xMbxNd\ wPfwQhwSjw_lwcnvjyzuyvzzzzzzzzzzzzvvvbrrmmmbwzbqzb\ kzbhzbfzbezccudauf_ugYuhXuiVujTukRulPumOumMunKuoIu\ nGuo8tnFujLuaRuTXuLbuJapH`lF`hD_dB__9ZWzzSzzO2zzzz\ z4zz5zzzzTzzW7_Z8`a9`dAagAajBbmCbpDcs6rzDcvJPrPBnO\ EmOGmOIlOKlNMkNOkNQjNSjMUiMWiMYhM_hLahLcgLegLgfKif\ KkeKmeKodJqdJscJucJwcKtdKreKofLmfLkgLhhLfhMdiMajM_\ jMYkNVlNTlNQmOOnOMnOJozzz } 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 14-04-09 (Chrysanthemum [fast and slow] [7.5])
by Jim Muth 14 Apr '09

14 Apr '09

FOTD -- April 14, 2009 (Rating 7.5) Fractal visionaries and enthusiasts: Today's image lies on the border between the magnitude range of arbitrary precision math and conventional math. I have included two parameter files -- a slow version done with arbitrary preci- sion math, which takes about 10 minutes to finish, and a fast version done with conventional math, which draws the image in only a few seconds. The slow version has a somewhat better resolution than the fast version, but it is up to the individual viewer to decide whether slightly better resolution is worth a calculation time about 200 times as long. Perhaps the most unusual thing about the image is its anti- bifurcation. The outer ring around the minibrot consists of 16 lobes, while the next inner ring has reverted back to 8 lobes, from where it again begins normal bifurcation. This is a sign that the minibrot lies within the attraction basin of a larger minibrot. The image lies deep in the East Valley of the largest minibrot on the filament network extending from the period-4 bud on the northeast shore line of the main bay of the Mandelbrot set. I named it "Chrysanthemum" because that's what it reminds me of. (This might not be the first time I have used this name.) I rated the image at a 7.5, which includes a self-awarded bonus of 1/2 point for the coloring. The coloring probably makes 3/4 of the image. As I said earlier, a decision must be made between top quality and saved time. But this decision may be avoided by surfing out to the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> where the finished image is posted for total bliss. I leave it to Paul to decide whether to calculate and post the fast or slow version. The Monday morning sun at Fractal Central faded fast as midday approached, and by afternoon was totally gone. The fractal cats, looking forward to a pleasant afternoon on their sun- shelf, were much disappointed. A short burst of artificial heat and a minor treat of tuna restored their good moods however. My day was semi-busy; tomorrow will likely be the same. Until then, take care, and when we have faith, must we turn off our faculty of reason and our knowledge of science? Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Chrysanthemum-fast { ; time=0:00:03.88-SF5 on P4-2000 reset=2004 type=mandel center-mag=0.36010379625664\ 01851/0.6412655477927573511/6.016702e+013/1/132/0 params=0/0 float=y maxiter=2500 bailout=16 inside=0 logmap=-570 periodicity=10 mathtolerance=0.05/1 colors=000XePXePXePXePXePXePXePXePXePXePXeOYeNZeM_\ eL`dK_dLYeLXeMVeNUfNSfOQfPPgPNgQMgRKhRJhSHhTGhTKjU\ OlVTmWYoXbpYgrZls_pu`tvaxxbzyczr`zkZzeWYZUSSRMMPGF\ MA8K42I37K3BL3FM3KN3OO3SS3XV3`X3dZ3hZ6bZ9YZCTZFOPK\ JGOEEV9CbG8eM5cO8`QBYREVTGSVJQWMOYPM_RK`UIbXHcZKaX\ N_WQYVTWUWUTYSSkZVzdYzj`zpczvfzzhzoazbWbRQdQNePKfO\ HhNEiMBjL8kL5lIAlFFmCKm9Pn6Un3Zj9VfESbJOZOLzWjobfc\ hbebYgXThSOjMJkHEmB9n65p5Kq5Zs4mt4zGdrFchFb_EbREaI\ Ea9zNfuQgmTgeWgYZgQagS`fT_fU_eVZeWYdXYdWb_WgWVlSVq\ OVvKcrRknYsjdzgjzZgzRezJbzB`z3Zm9V`FSOLPBRMETRGVVI\ XZLZbN`fPbjRdnTimVmmXqmZumbvifvejwamwYAvzCrzEnuGjp\ IfkKbfM_bJafHciFelIZjKTiMNhOHgQBfS5eQEiOMlMUoLasJi\ vHqyGyzIzuKzoMzhOzbUza_zaez`jz`gzzezzbzz`zz_zz_zzZ\ zzZzzZzz`zzbzzdzzfzzhzzizzczzZzzUzzOzzJzzEzz9zz8zz\ 8zz8zzVzzpzzgzzZzzQzzHzz8zzDzzIzzNzzSzzVzzYzz`zzcz\ zfzzhzzjzzlzzmzzozzuzzrzz } Chrysanthemum-slow { ; time=0:09:27.18-SF5 on P4-2000 reset=2004 type=mandel center-mag=0.36010379625664\ 01851/0.6412655477927573511/6.016702e+013/1/132/0 params=0/0 float=y maxiter=2500 bailout=16 inside=0 logmap=-570 periodicity=10 mathtolerance=0.05/0 colors=000XePXePXePXePXePXePXePXePXePXePXeOYeNZeM_\ eL`dK_dLYeLXeMVeNUfNSfOQfPPgPNgQMgRKhRJhSHhTGhTKjU\ OlVTmWYoXbpYgrZls_pu`tvaxxbzyczr`zkZzeWYZUSSRMMPGF\ MA8K42I37K3BL3FM3KN3OO3SS3XV3`X3dZ3hZ6bZ9YZCTZFOPK\ JGOEEV9CbG8eM5cO8`QBYREVTGSVJQWMOYPM_RK`UIbXHcZKaX\ N_WQYVTWUWUTYSSkZVzdYzj`zpczvfzzhzoazbWbRQdQNePKfO\ HhNEiMBjL8kL5lIAlFFmCKm9Pn6Un3Zj9VfESbJOZOLzWjobfc\ hbebYgXThSOjMJkHEmB9n65p5Kq5Zs4mt4zGdrFchFb_EbREaI\ Ea9zNfuQgmTgeWgYZgQagS`fT_fU_eVZeWYdXYdWb_WgWVlSVq\ OVvKcrRknYsjdzgjzZgzRezJbzB`z3Zm9V`FSOLPBRMETRGVVI\ XZLZbN`fPbjRdnTimVmmXqmZumbvifvejwamwYAvzCrzEnuGjp\ IfkKbfM_bJafHciFelIZjKTiMNhOHgQBfS5eQEiOMlMUoLasJi\ vHqyGyzIzuKzoMzhOzbUza_zaez`jz`gzzezzbzz`zz_zz_zzZ\ zzZzzZzz`zzbzzdzzfzzhzzizzczzZzzUzzOzzJzzEzz9zz8zz\ 8zz8zzVzzpzzgzzZzzQzzHzz8zzDzzIzzNzzSzzVzzYzz`zzcz\ zfzzhzzjzzlzzmzzozzuzzrzz } END PARAMETER FILE=========================================

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FOTD 13-04-09 (Cranberry Salad [Rating--Repeat])
by Jim Muth 13 Apr '09

13 Apr '09

FOTD -- April 13, 2009 (Rating Repeat) Fractal visionaries and enthusiasts: Due to 'unavoidable' Easter Activities here at Fractal Central on Sunday, I was forced to go into the FOTD archives for today's image. The image I found originally appeared on March 22, 2006, when it was named "Aqualung", with a rating of an exceptional 9. To create today's image I zoomed slightly toward the central minibrot of that older image and slightly intensified the colors. I named the result "Cranberry Salad" after a special treat FL cooked up for the 'unavoidable' Easter activities, and which tasted much better than it sounds. I first rated the image at an 8, but this troubled me. After all, it is a virtual repeat, so I hedged a bit by re-rating it as a 'repeat'. Actually, I think it is worth about an 8-1/2. The parent fractal of today's image came about when I added 0.135 part of Z^(3) to 1 part of Z^(1.5) and added straight C. This parent consists of two widely separated Mandelbrot sets connected by an open highway. Today's image is located on the eastern shoulder of the highway, very near the X-axis. The calculation time of 1 minute is very fast. But equally fast is the trip to the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> to see the already-calculated image there. The temperature was a chilly 48F 9C here at Fractal Central on Easter Sunday, and the wind was blustery, but there was not a single cloud in the sky over the entire state of Pennsylvania, and the brilliant sunlight that covered the scratching post all afternoon gave the fractal cats one of the best days ever. My day was average. The next FOTD will appear not by magic in 24 hours or so. Until that moment arrives, take care, and Easter comes but once a year. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Cranberry_Salad { ; time=0:00:42.03-SF5 on P4-2000 reset=2004 type=formula formulafile=allinone.frm formulaname=MandAutoCritInZ function=ident passes=b center-mag=+0.259179523/-0.024608674/18835.44/1/\ -147.5/0 params=1/1.5/0.135/3/0/0 float=y maxiter=750 inside=255 logmap=60 periodicity=10 colors=0000PN0QQ0RT0SW0TZ0Uc0Vh0Wm0Xr0Yw0Zw0_w0`w0\ aw0bw0cw0dwdqUit_nyeszlxzszzzxyqtxjquenr_jnUgiQdeK\ a`FZXBWS6TM1QG0NI0KP0HU0OZ0We0an6inDoqLxtUzvazoZzi\ XybWxXUvRTtLRsGQsCObGLOKKBOJ0TH1WC4Z76a48d0Bg0Ad28\ a87_G6XN6UW5Tb4Ql2Nt2LzZHxzFtzGjzGbzGWzGOzGHzGByG5\ yG0sH1nH4iH5dH7_HAWHBRHDNHGJHHFHKBHN7HO6LQ5OR4RT2U\ U1ZU0aW0dX0gZ0jZ0iao0ed7ZWGTLQLD_GCXNBUUBTaAQiAOq8\ Nj7Ld7KZ6JU6HO5GJ5GF4FA4D52C12B01A01A01B01B01B01B4\ 1B71BB1CF1CJ1CN1CR1CW1C_BGXLKWXNTiRRvUQgWZUWgHXo6X\ y0Xz0ay1dq4gi6jb8nWBqODtHGxCHyFJzHKzKLzNNzQOzTQzWR\ zZRz_NzWKzRHzNFzJBzF8zB6z74z40z00z00z00z00z00z50zA\ 0zF0zK0zP0zU1zZ1zc2zh4zm5zr5zvBzzHzzNzzOzzQzzQzzRz\ zTzzTzzUzzWzzWzzXzzZzzZzz_zzazzazzbzzbzzdzzezzgzzi\ zzizzdzz_zzWzzTzzOzzKzzPzzUzzZzzczzhzzmzzrzzvzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzz000 } 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] FOTD 11-04-09 (The Magic Rectangle [7])
by Jim Muth 12 Apr '09

12 Apr '09

At 04:44 PM 4/11/09 -0500, you wrote: >Jim Muth wrote: >> >> ..... float=y maxiter=15000 inside=253 >> logmap=32 periodicity=10 sound=off >> > >I have always wondered why some of the .PAR files that you have posted >contain the SOUND= parameter specified, and as far as I can remember, >they seem to always be set to OFF. > >I can only assume that at those times when this parameter is used, then >there must be one or more other individuals around when you do your >searching. And that you do not want them to hear the small "beep" after >the image has been rendered. > > >Curious as Always, >P.N.L. Paul: Your guess is pretty much right. Both FL and I find the constant beeps annoying. I have a sound=off entry in my sstools.ini file, which causes the sound=off to be included in my parameter files. I usually edit the sound=off entry out of the parameter files before I post them, but occasionally one slips through un-edited. Jim

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FOTD 12-04-09 (Lest We Re-Iterate [6.5])
by Jim Muth 12 Apr '09

12 Apr '09

FOTD -- April 12, 2009 (Rating 6.5) Fractal visionaries and enthusiasts: The very deep parts of the Mandelbrot set have barely been touched. In fact, every time a new scene such as today's is discovered, another infinity of undiscovered scenes opens up. Today's image shows a minibrot deep in the East Valley area of another minibrot. This larger minibrot lies on a side filament extending from the period-6 bud on the northeast shore line of the main bay of the Mandelbrot set. I named the image "Lest We Re-Iterate". Due to a mental lapse, I exited the program without saving the finished image, and had to retrieve the partially finished version that had automatical- ly been saved earlier and resume the calculation from there. The showness of the image made the oversight even worse, and I decided to memorialize my mistake by naming the image after it. The rating of a 6-1/2 includes 1/2 point bonus for my coloring. I leave it to the viewer to decide whether the coloring is worth it. The calculation time of almost 45 minutes may be avoided by going electronically to the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> and viewing the finished image there. Saturday started dull, dreary and wet here at Fractal Central, with a temperature of 46F 8C. It looked like another bad day coming up for the fractal cats, but the clouds suddenly broke at 1:00pm, just in time to flood the cats' shelf with sunlight and raise the outside temperature to 55F 13C. The rest of the after- noon was near perfect. My day was uneventful. The next FOTD will be posted in 24 hours. Until then, take care, and be confident that all is well. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Lest_We_Re-Iterate { ; time=0:44:55.32-SF5 on P4-2000 reset=2004 type=mandel center-mag=0.39831350911220\ 687656243421901548446/0.19160183288161261498353550\ 958724032/2.600878e+029/1/145/0 params=0/0 float=y maxiter=12500 bailout=25 inside=0 logmap=1770 periodicity=10 colors=000GdfHdfHcgHchIciIbjJbjJbkKalKamL`mL`nM`oM\ _pM_qN_qNZrOZsOYtPYtPYuQXvQXwQXwRWvRVuRUuSTtSTsSSs\ TRrTQqTPqUPpUOoUNoVMnVLmVLmWKlWJkWIkWIjXHiXGiXFhYE\ gYEgYDfZCeZBeZAd_Ac_9c_8b`7a`6a`6`a5_a4_a3Za3Zc5Wd\ 7Ue8SgAPhA4hBNiDLjEJlGGmIEnJCpL9qM7rO5iWfjVckVakUZ\ lUXlTVmTSnTQnSOoSLoRJpRHqREqQCrQArP7sP5pS0mR1kR1iP\ 1gO1eN1cM1bL1aK1cJ2hI2mH2rG2vF2zE2zC2zB2zA3zczzc3z\ czzc3zczzc3zczBC4CD3DD3ED3FE3GE3HE3IE3JF3KF3LF3MG3\ NG3OG3PG3QH3RH3SH3TH3UI3VI3WI3XJ3YJ3ZJ3_J3`K3aK3bK\ 3cL3dL3eL3fL3gM3hM3iM3jM3kN3lN3mN3nO3oO3pO3qO3qP3r\ P3sP3zzXyqRygQycPx_OxUNxUMw0LwgcwfcwdIvcHvbGvaEu`D\ uZCuYBuXAtW9mP8zT7zZ6zc5zc4za8z`7z_7zZ7zZ6zY6zU6mz\ 6zz5zz5zz5zz4zCzzDzzEzzFzzGzzHzzIzzIzzJzlKzHLzEMzC\ Nz9Oz7Oz8Qz8Rz8Sz8Tz8Uz8Vz8Wz8Xz8Yz8Zz8_z8`z8wz8wz\ 8wz8wz8wz8wz8wz8wz8wz8wz8wz9wz9wzAwzAwzBwzBwzCwzCw\ zDwzDwzDwzEwzEwzFwzFwzGwz } END PARAMETER FILE=========================================

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FOTD 11-04-09 (The Magic Rectangle [7])
by Jim Muth 11 Apr '09

11 Apr '09

FOTD -- April 11, 2009 (Rating 7) Fractal visionaries and enthusiasts: Today's image shows one of the strange rectangles that exist in a Julia set of the Z^(2.003)+C Mandeloid. (To see one of the actual rectangles check the Z^(2.003)+C Julia set with a C-value of -1.7435+0.0i at the Z coordinates of 0.00019+0.07388i, with the magnitude set to 100. It's not a perfect rectangle, but it's close enough to be quite surprising.) When we check today's image however, we wonder what has happened to the rectangle. The rectangle, or at least one slice of it, actually is in the image. It appears as the dark bluish area in the lower right corner, with the narrow white line across its center. The rectangle has been reduced to a single narrow line because today's image is not a Julia set. It is what I call an Oblate set, a slice through the four-dimensional Julibrot figure that is defined by the imaginary C-axis and the real Z-axis. It is actually a fractal hybrid -- half Julia, half Mandelbrot. Even though no full rectangle appears in the image, I named it "The Magic Rectangle". The missing rectangle is made up for by the image's unusually strong impression of a three dimensional scene. I have no idea what the quite solid looking things might represent however. I rated the image at a 7, which means I consider it to be an average FOTD image. The calculation time of 1-1/4 minutes is unusually fast, which will be good news for those who prefer more than a single slice of their rectangles. Another way of viewing the image is to surf out to the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> and view it in completed form there. Totally miserable conditions prevailed both with the weather and the fractal cats here at Fractal Central in central Pennsylvania on Friday. The spitting rain and temperature of 46F 8C kept the cat duo glued to the warmest radiator, glaring at the outdoors in full sulk. My problem was not the weather -- I had no time to worry about that -- but with the rush that won't go away. I still managed to find time for the fractal however. And I would not be sur- prised in the least if another fractal were to show up in about 24 hours. Until next time, take care, and never question the fractal truth. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= The_MagicRectangle { ; time=0:01:14.91-SF5 on P4-2000 reset=2004 type=formula formulafile=slices.frm formulaname=OblateN passes=1 center-mag=-0.0106678\ 7037571017/+0.00398419476438538/231.7069/0.202/\ 4.105/63.193 params=2.003/0/0.000185/0.0739678/\ -1.7434/0 float=y maxiter=15000 inside=253 logmap=32 periodicity=10 sound=off colors=030mzzmyzmxzmxzmxzmxzmxzmxzmxzlwzkwzjwzivzh\ vzgvzftzetzdrzcrycrxcqwcqvcqucntcntclsclsclrcirciq\ ciocgocfmcemcelcejccjcbhcbfc`fc`ec_ecZccZacWacW_cW\ YbUYaUX`SX_SVZSSYQSXQRWQPVOPUONTMNSMLRLJQJJOIIMJGK\ GGIGEGHCFHEEIGDHICGJBGLBHNAGPAFR9FS9FV8FX8DX7DY7D_\ 6Da5Bc4Bd3Be2Bg19h09j09k09j07l07n07n05o05o05o05n03\ n03n03n03n01n01n01n01n01n01n00n00n00n00n00n00n00n0\ 1n13n33n55n77n97nB9nDBnFBnHDnJFnLFnNHnNJnPJoQLoSNp\ UNpWPqYQqZQraSrcUsdUsfWshYsjYrjZqlaqmaoocmqdmsdltf\ lvhjxhhyjhzlfzlezmezoczsazqczoczoezmezmfylfxlhvjhv\ hjthjsflqflodmmdmlcojcojaqhZqfZrdYrcYsaWsZWsYUsWWs\ YUsZUsZUsaUsaUscUsdUsdUsfUsfUshUsjUsjUslUslUsmUsoU\ soUsqUsqUssUstUstUsvUsvUsxUsyUsyUszUszUszUszUszUsz\ UszUszUszUszUszUszUszSszQszQszPszNszNszLszJszJszHs\ zFszFszDszBszBsz9sz7sz7sz5sz3sy3sy1sy1sx0sx0sx0sv0\ sv0sv0st0st0sv0szzzzzszzs } frm:OblateN {; Jim Muth b=p1, z=real(pixel)+p2, c=flip(imag(pixel))+p3: z=z^(b)+c, |z| <= 16 } END PARAMETER FILE=========================================

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FOTD 10-04-09 (Mandelbrot Ringlet [7])
by Jim Muth 09 Apr '09

09 Apr '09

FOTD -- April 10, 2009 (Rating 7) Fractal visionaries and enthusiasts: After all these years, an occasional trip back to that king of all fractals, the Mandelbrot set, always seems to yield a sur- prise or two. Today's scene lies far out on a filament in the interior of the north branch of Seahorse Valley of the large minibrot on the main spike of the Mandelbrot set, and after all this description, it's no wonder there's a little surprise in it. What I find surprising in today's image is the thin ring of debris surrounding the central minibrot. Normally, the Mandelbrot debris fields are much broader. There is not much more to be said about the image, but one thing virtually certain is that if this universe is limited and if it is the only one that exists, then this particular minibrot has never before appeared on the screen of a computer. By contrast, if this universe is infinite or if an infinity of similar para- llel limited universes exist, then this minibrot has appeared on an infinity of computer screens. Bombastic speculation aside, after not-too-careful considera- tion, I rated the image at a 7. Then I noticed the narrow ring of chaos surrounding the minibrot, and named it "Mandelbrot Ringlet". Despite being well beyond the range of conventional math, the image calculates in a not-too-slow time of 3-3/4 minutes. An even faster way to enjoy the image is to hop like the Easter Bunny out to the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> and gaze in awe and wonder at the already calculated image there. Thursday here at Fractal Central was much improved. Partly cloudy skies and a temperature of 61F 16C are hardly ideal, but the periods of sun came at just the right time, and the fractal cats had a very pleasant day. With a customer who was unhappy when we gave him what he asked for and he saw that it did not work, my day was not so pleasant. But that's how it goes sometimes. Tomorrow however should be better, permitting more time for a better FOTD. Until next time, take care, and though the commandment says 'thou shalt not steal' I also hear that God helps those who help themselves. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Mandelbrot_Ringlet { ; time=0:03:44.66-SF5 on P4-2000 reset=2004 type=mandel passes=t center-mag=-1.7693\ 815837260665074818/0.00428779035481775236759/1.434\ 916e+017/1/-122.5/0 params=0/0 float=y maxiter=1200 bailout=25 inside=0 logmap=189 colors=0009Cb8Ee7Fh7GkEHnKIqQJtWKw_NzZQu`Vr_Yng`ki\ egjhdcP2fYEheQkmaWFl`Qmd`mikmmumhlfdc__VTWMMRDFKAX\ L8RM7LM6FN59EDAUU8UU6UU4UU3SVBUTCVRCXPDYOD_MD`KEbI\ Ef85iKElQNsZWAzzDzzGfzIYzLPK7jmH70NGBSPMXYXafgkmwf\ oqaplXrgSsbNuYJvTRjUZZUFoFGmIHkLIiOJhQKfTLdWMbZN`a\ O_cNefMjiMplLuoLzrNyjzzbzzVizNczFUz7lQVnRUoRUqRUrR\ UtSTuSTwSTxSTtRWpQZlPaiOdeNgaMjZMlXOlVPlUQlSRlQSlP\ UlNVlLWlKXlIYlHZlJWgLTcNQZPNVRLRSHOTELUBIV7FW4CW1A\ X5JY9SZC`_Gi`Kr`NzRSwIWt9_q0cnIRd_EVq1Mn6PlBSjGVhK\ XeP_cUbaZe_bgXgjVlmTqpRurUsqWrqYqq`opbnpdmpbnpaop`\ pp_qpZrpYspXtpVupUvpTwpSxpRypQzpPzpQwqRtrRqrSosTls\ TitUgtUduVauW_vWXvXUwXSwZTu`TtbTscTreUqgUohUnjUmlV\ lmVkoViqVhrWgtWfvWewWdhZgUajGdmHejIfhIgfJhdJibKi`L\ jYLkWMlUMmSNnQNnOJoYGpfJqgkrQMshztezubzv`zwYzxWzyT\ zzDzzIzzMzzRzzuzznzzgzz`zzVzzTzzGzzKzzOzzSzzWzz_Hz\ qGziFzbEzVDzOCzGoz_Bz9AzA } END PARAMETER FILE=========================================

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FOTD 09-04-09 (Fine-Tooth Fractal [7])
by Jim Muth 08 Apr '09

08 Apr '09

FOTD -- April 09, 2009 (Rating 7) Fractal visionaries and enthusiasts: Today's image is another scene in the same oversized parent fractal that held yesterday's image. And as far as I know, tomorrow's might be the third. Most of the action appeared when I rendered the image with the outside set to 'summ'. The name "Fine-Tooth Fractal" came about when I noticed the comb- like elements filling the scene. The rating of a 7 indicates that I consider the image adequate for FOTD status, but not unusually exciting. The calculation time of 3-1/4 minutes is long enough to give time for fun, but not so long that boredom might arise. The finished image is or soon will be posted to the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> and the web site is definitely not boring. Too many clouds, too little sun and too low a temperature (48F 9C) kept the fractal cats in too cranky a mood here at Fractal Central on Wednesday. The extra treat of tuna and cheddar made them somewhat cheerier. My day was busier than I consider ideal. The next FOTD will be posted in 24 hours regardless. Until then, take care, and wait for the sun with bated breath. (I never knew there was a sun with bated breath.) Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Fine-Tooth_Fractal { ; time=0:03:13.91-SF5 on P4-2000 reset=2004 type=formula formulafile=basic.frm formulaname=MandAutoCritInZ function=ident passes=1 center-mag=-0.3789554866286804/+0.8798264972975226\ /4.726508e+012/1/175.5/0 params=14.55/0.6/-14.55/\ 0.666/0/1000/0/0 float=y maxiter=1600 inside=0 outside=summ periodicity=10 mathtolerance=0.05/1 colors=000WW4ZZ4``4bb4dd4cd6bd8adA`dB_dDZdFYdGXdIW\ dKVdLVdNUdPTdQSdSRdUQdVPdXOdZNd_MdaLdcLddRb`WaY``V\ e_SjYOoXLtWIyVFZ5M_8O`BP`ERaHSbKUbNVcQWdTYdWZeZ`fa\ afdcggdormgie``YUSQMILNKJOMIPOHQQGRSFSUETWDUYCV_BV\ aAWc9Xe8Yg7Zi6_k5`m4ao3bq2bs1dd1eR1918fD1eF3eH5eJ7\ eL9eNBePDeRFeTHeVJeXLeZNe`PpqfebQc`Rb_RaYR_XRZWSYU\ SWTSVSSUQTSPTRNTQMTOLUNJUMIULHUKP_JXeIdkHlqFwyGtvH\ rtIorHlrJmpLnoNnnPomRplTpkVqjXriZrh_sfasectdeucgub\ ivakw`mw_oxZpxYqvXqtXqrXqpXqnXqlXqjXrhXrfXrdXrbXr`\ WrZWrXWrVWsTWsRWsPWsNWsLWsJWsHWsGWgY_XncXneXnfYngY\ niZnjZnlZnm_no_np_nq`mn`lkakhajebibbh_bhYKamJboIcq\ IdsHduGewFfyFfzEctE`oEZjEWdET_DRVDOQDLKDJFDGADE5EF\ 8FGBFHEGIHGJKHJMHKPILSJMVJNYKN_KObLPeLQhMRkMRmUSma\ TmiUmqVmnShkPdhM_eKWbHR_ENXBIU9ER69O35L11SJ4Y`6ZYA\ ZWDZTGZRJZPM_MP_KS_IV_FY_D`_BcaCXbCRdCKeCEgC7hC1eB\ 8cBFaBMII3LL4NN4PP4SS4UU4 } 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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