May 2010 - Fractint - mailman.xmission.com

FOTD for 5/26/10
by Brian Prentice 27 May '10

27 May '10

While searching in vain for a midget in Jim's fractal for today I found these two details: http://linuxenvy.com/bprentice/Fractals/Set%2014/BP_14_76a.png http://linuxenvy.com/bprentice/Fractals/Set%2014/BP_14_76b.png Brian Prentice

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FOTD 27-05-10 (Squirt Minibrot [7.5])
by Jim Muth 27 May '10

27 May '10

FOTD -- May 27, 2010 (Rating 7.5) Fractal visionaries and enthusiasts: THIS VERSION WORKS!!! Today's unusually colorful image shows a minibrot in the parent fractal that comes about when the expression Z^(sqrt(2))+C is iterated 11 levels up the complex logarithmic hyperladder, and no function is applied. In this case, the series of elements around the minibrots is 1.4142, 2, 2.8284, 4, 5.6569, 8, etc. But with all the discon- tinuities in the images, this series is exceedingly difficult to discern. Despite the discontinuities, some interesting scenes sometimes pop up along the way however, and today's image is one of these scenes. The name "Squirt Minibrot" is a play on the words 'square root'. I rated the image at a 7, then added a half-point bonus for my part in the coloring, most of which was done by the program anyway. The calculation time of just under 3 minutes is about what the image is worth. Extra value may be found by surfing out to the FOTD web site at: <http://www.Nahee.com/FOTD/> and enjoying the finished image in virtual relaxed comfort there. The fractal cats complained about the hot weather here at Fractal Central on Wednesday. When the temperature reached 91F 33C, they stretched out so far on the wood floor that we had to turn on the cool air for the first time this season. With the cool air on, the rest of the day was comfortable enough, at least indoors. The next FOTD will be posted in 24 hours. Until then, take care, and take my word for it. The globe certainly *IS* getting warmer. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Squirt_Minibrot { ; time=0:02:52.20-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=MandelbrotBC3 function=ident inside=0 center-mag=+0.2626651480634892/+0.8900190082293845\ /3.828861e+011/1/55/0 params=1.4142/0/11/0 float=y maxiter=1800 logmap=395 mathtolerance=0.05/1 colors=000T09V0AW0AX0AZ0B_0B`0Bb0Cc0Cd0Cf0Dg0Dh0Dj\ 0Ek0Em0Em0Kn0Qo0Wq0`r0cs0gt0kl5cmA_mEYnIVnMRnQNoUJ\ oYFoaBk`Cg_Dc_E_ZFWYFSYGOXHKWIGUICSJ8RK4PL1OLazC`w\ B_tB_qBZnBZkAYgAYcAXZAXVAYWDYXGYYIYYLYZNZ_QZ`TZ`VZ\ aaZbc_cc_cc_dc_ec_ecC0LF0HF0EG0AMA7Q63U30X82cD4mI6\ VN7WR9WWBX`CzeEYjGYnHzmSzlbzllzfmh`m_VnSPiJJeBDeCG\ cDJYELVFOdGQcHTaIWeJYcK`bLbaMe_NhZOjXPmWPyVRzWSuWU\ uWziWztWYgWZfWYdZXb`W`bV_dUYfTWhSVjRTmQRoPPqOOsNMu\ MKwMJyPKsSLmULhXMbZNXaNScOMfPGhPBkQ5mQ0lT4kV8kYCj_\ GjbKidOifSeSXbE`_0d`6c`Cb`IbaOaaUaa_`be`bk_bq_STKH\ 54KBCNHJQNQTTXWZcYdjUfcQhXMiQIkJEmCAn5Dj8GfAJbCMZE\ PVGRRIUNKXJM_FObBQd7SeBTeFTeJWeMZfQcfUhfXmf`rgdvgg\ zgkzgozgrzdozbmz_jzYhzWezKzMAzOAzQAzSAzUAzWAzYAz_A\ zaAzczzezzgzzizzLzzSzzYzzdzzjzzhzzfzzdzzbzzazz_zzY\ zzWzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\ 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 27-05-10 (Squirt Minibrot [7.5])
by Jim Muth 27 May '10

27 May '10

FOTD -- May 27, 2010 (Rating 7.5) Fractal visionaries and enthusiasts: Today's unusually colorful image shows a minibrot in the parent fractal that comes about when the expression Z^(sqrt(2))+C is iterated 11 levels up the complex logarithmic hyperladder, and no function is applied. In this case, the series of elements around the minibrots is 1.4142, 2, 2.8284, 4, 5.6569, 8, etc. But with all the discon- tinuities in the images, this series is exceedingly difficult to discern. Despite the discontinuities, some interesting scenes sometimes pop up along the way however, and today's image is one of these scenes. The name "Squirt Minibrot" is a play on the words 'square root'. I rated the image at a 7, then added a half-point bonus for my part in the coloring, most of which was done by the program anyway. The calculation time of just under 3 minutes is about what the image is worth. Extra value may be found by surfing out to the FOTD web site at: <http://www.Nahee.com/FOTD/> and enjoying the finished image in virtual relaxed comfort there. The fractal cats complained about the hot weather here at Fractal Central on Wednesday. When the temperature reached 91F 33C, they stretched out so far on the wood floor that we had to turn on the cool air for the first time this season. With the cool air on, the rest of the day was comfortable enough, at least indoors. The next FOTD will be posted in 24 hours. Until then, take care, and take my word for it. The globe certainly *IS* getting warmer. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Squirt_Minibrot { ; time=0:02:52.20-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=MandelbrotBC3 function=ident indide=0 center-mag=+0.2626651480634892/+0.8900190082293845\ /3.828861e+011/1/55/0 params=1.4142/0/11/0 float=y maxiter=1800 logmap=395 mathtolerance=0.05/1 colors=000T09V0AW0AX0AZ0B_0B`0Bb0Cc0Cd0Cf0Dg0Dh0Dj\ 0Ek0Em0Em0Kn0Qo0Wq0`r0cs0gt0kl5cmA_mEYnIVnMRnQNoUJ\ oYFoaBk`Cg_Dc_E_ZFWYFSYGOXHKWIGUICSJ8RK4PL1OLazC`w\ B_tB_qBZnBZkAYgAYcAXZAXVAYWDYXGYYIYYLYZNZ_QZ`TZ`VZ\ aaZbc_cc_cc_dc_ec_ecC0LF0HF0EG0AMA7Q63U30X82cD4mI6\ VN7WR9WWBX`CzeEYjGYnHzmSzlbzllzfmh`m_VnSPiJJeBDeCG\ cDJYELVFOdGQcHTaIWeJYcK`bLbaMe_NhZOjXPmWPyVRzWSuWU\ uWziWztWYgWZfWYdZXb`W`bV_dUYfTWhSVjRTmQRoPPqOOsNMu\ MKwMJyPKsSLmULhXMbZNXaNScOMfPGhPBkQ5mQ0lT4kV8kYCj_\ GjbKidOifSeSXbE`_0d`6c`Cb`IbaOaaUaa_`be`bk_bq_STKH\ 54KBCNHJQNQTTXWZcYdjUfcQhXMiQIkJEmCAn5Dj8GfAJbCMZE\ PVGRRIUNKXJM_FObBQd7SeBTeFTeJWeMZfQcfUhfXmf`rgdvgg\ zgkzgozgrzdozbmz_jzYhzWezKzMAzOAzQAzSAzUAzWAzYAz_A\ zaAzczzezzgzzizzLzzSzzYzzdzzjzzhzzfzzdzzbzzazz_zzY\ zzWzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\ 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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Fractals and Volcanic Colors
by Roger Alexander 27 May '10

27 May '10

More fractal pyrotechnics. This similar in appearance to Fractint's built in Phoenix formula. If you want to make good use of my Flickr account download the finished product at http://maxitersfractalfollies.blogspot.com fract227.gif { ; fiery ; blank ; calctime 0:56:38.74 ; created May 26, 2010 ; Fractint Version 2004 Patchlevel 9 reset=2004 type=formula formulafile=jo_weber.frm formulaname=hsqr center-mag=+0.19212659824046130/-0.78326189374185100/41407.87 float=y maxiter=1500 logmap=45 invert=6.25000000000024e-005/0.195542521994135/-0.783608213820079 periodicity=0 cyclerange=0/255 colors=xo0xm0xl0xk0xj0xi0xh0xg0xf0yd0yc0yb0ya0y`0y_0yZ0yY0yW0yV0yU0yT0yS\ 0yR0yQ0yP0zN0xM0vL0tK0rI0pH0nG0lE0iD0gC0eA0c90a80_60Y50W40T20S20R30Q30P4\ 0O40N50M50L60K60J70I70H80G80F70E70D60C60B50A5094084073063052042031021000\ 0100300500700900B00D00F00H00J00L10N10P10R10T10W10Y10_10a10c10e20g20i20k2\ 0m20o20q20s20u20w20z30z40z60z70z90zB0zC0zE0zF0zH0zJ0zK0zM0zN0zP0zR0zS0zU\ 0zW0zX0zZ0z_0za0zc0zd0zf0zg0zi0zk0zl0zn0zo0zq0zs0zt0zv0zt0zr0zp0zn0zl0zj\ 0zh0zf0zd0zb0z`0zZ0zX0zV0zT0yQ0wP0tN0qM0nK0lI0iH0fF0cD0aC0ZA0W90T70R50O4\ 0L20I00H20F00F00E00D00C00C00B00A0090090080070060060050040030030020010000\ 0000200500800A00D00G00J00L00O00R00U00W00Z00a00d00f00i00l00o00q00t00w00z0\ 0z10z30z50z70z90zB0zD0zF0zH0zJ0zL0zN0zP0zR0zT0zV0zX0zZ0z`0zb0zd0zf0zh0zj\ 0zl0zn0zp0zr0zt0zv0zx0zz0zy0yx0yw0xv0xu0xt0xs0xr0xq0xp0 } frm:hsqr(XYAXIS) { ; squaring the initialized value of the hydra fractal z = pixel^2,zp=(0,0): temp = z z = z*z + zp zp = temp, |zp| <= 4 } Roger Alexander _________________________________________________________________ 30 days of prizes to be won with Hotmail. Enter Here. http://go.microsoft.com/?linkid=9729709

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Colorful Minibrot
by Roger Alexander 26 May '10

26 May '10

Today's fractal is a minibrot from Fractint's built in mandellambda formula. I like the colors. Ready,able, and willing at http://maxitersfractalfollies.blogspot.com fract219.gif { ; a lacy little minibrot ; blank ; calctime 0:19:34.09 ; created May 21, 2010 ; Fractint Version 2004 Patchlevel 9 reset=2004 type=mandellambda corners=1.07587867636758/1.07587864489943/0.42860406873311929/0.42860406\ 907919935/1.07587866487293/0.42860408405932254 params=0/0 float=y maxiter=2400 logmap=213 colors=000302403503504604705805806907A07B08B08C09D1AE1AF1BF1BG1CH1CI1DI1\ EJ1EK1FL1FL1GM1GN1HO2IN2KM2NK2QJ2TH2VG2YE2`D2cB1fA1i81l71n51q41t21w00z03\ z07z0Bz0Fz0Jz0Nz0Rz0Vz0Zz0bz0fz0jz0nz0rz0vz0zz0xz0vz0tz0rz0pz0nz0lz0jz0h\ z0fz0dz0bz0`z0Zz0Xz0Wz0Uz0Sz0Qz0Oz0Mz0Kz0Iz0Gz0Ez0Cz0Az08z06z04z02z00z00\ y10x20v20u30s40r50p50o61n71l81k91i91hA1gB1eC1dC1bD1aE1_F1ZF1YG1WH1VI1TJ2\ SJ2RK2PL2OM2MM2LN2JO2IM2GJ2EH2CE1AC18916614312000101302503605806A07C19D1\ 9E1AF1AF1BG1BH1CI1DI1DJ1EK1EL1FL1FM1GN1HO2IO2JQ2IS2HV2GX2F_2Da2Cd2Bf2Ah1\ 9k18m17p15r14u13w12z00z20z50z70zA0zC0zF0zH0zK0zM0zP0zR0zU0zX0zZ0za0zc0zf\ 0zh0zk0zm0zp0zr0zu0zw0zz0zw0zu0zr0zo0zl0zj0zg0zd0za0z_0zX0zU0zS0zP0zM0zJ\ 0zH0zE0zB0z80z60z30z00x01v02s03q04n06l07i08g19e1Ab1B`1CY1EW1FT1GR1HO2JN2\ IM2HK2GJ2FH2DG2CE2BD2AB19A18817715514413212000000101201 } Roger Alexander _________________________________________________________________ MSN Dating: Find someone special. Start now. http://go.microsoft.com/?linkid=9729707

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FOTD 26-05-10 (More Fractal Stuff [5.5])
by Jim Muth 26 May '10

26 May '10

FOTD -- May 26, 2010 (Rating 5.5) Fractal visionaries and enthusiasts: Today's image shows a screen full of fractal stuff. When I saw the stuff, I named the image "More Fractal Stuff". The scene lies in the parent fractal that results when the formula Z^(1.025)+C is calculated 27 levels up the complex logarithmic hyper-spiral. This parent fractal resembles a stone arrowhead with the tip facing NNW. Today's image is located in debris on the western edge of the large and only open bay. The incredible thing about the image is that an expression so close to being linear can result in such detail when iterated a few thousand times. At first glance the scene looks totally chaotic, but a second look reveals tiny repeating patterns all through the frame. Unfortunately, there is no center of attention in the image, and this lack of a unifying theme costs a full rating point. The bit of extra work I put into the coloring raised the rating a half-point above an everyday 5, but do not expect the thrill of a lifetime when the image first appears. The calculation time of 6-2/3 minutes is slower than the result is worth, so I advise surfing out to see the finished image on the FOTD web site at: <http://www.Nahee.com/FOTD/> Summer arrived here at Fractal Central on Tuesday, with hot sun all day and a temperature of 86F 30C. The fractal cats of FC stretched out on the carpet and looked very happy. My day was reasonable, which is well within reason. The next FOTD will be posted in 24 hours. Until then, take care, and maybe I should follow the media, which tells us what we should worry about, and be more concerned about global warming and less concerned about cell-phone radiation. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= More_Fractal_Stuff { ; time=0:06:39.91-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=MandelbrotBC3 function=ident passes=1 center-mag=-0.7913597645032089/-3.065371046706491/\ 5.402604e+010/1/-125/0 params=1.025/0/27/5000 float=y maxiter=3600 inside=255 logmap=418 periodicity=6 mathtolerance=0.05/1 colors=000RJPRKQRLRSMRSMSSNSTOTTPTSQUTRUUSUVSUWTVX\ UWYVXZWY_XZ`Y_aZ`b_ac`acabcaccbdccecdfcegcfhdgmehr\ fivgjzgkzkkzmmzppzsszvvzzzzzzzzzzzzzzzzzzzzzzzzzzz\ zhsugrugrtfqtfpteptdotdoscnscnsbmsblsalrakr`kr_jr_\ jrZiqZhqYhqYgqXgqXfpWfpVepVdpUdpUcoTcoTboSaoRaoR`n\ Q`nQ_oP_oPZoOYoOYoNXoMXpMWpLWpLVqKUqKUqJTrJTrISsHS\ sHRsGQtGQtFPtFPtEOuDPuEOuEOuENvFNvFMvFMvFLvGLwGKwG\ KwGJwHJxHIxHIxIHxIHyIGyIGyJFyJFzJEzJEzKDzKDzKCzMDz\ LCzKCzKCzJBzJBzIBzIAzHAzHAzGAzG9zF9zF9zE8zE8zD8zD8\ zC7zB7zB7mA6mA6m96m95m85m85m75m74m64m64c53c53c43c3\ 2c43c43c54c54U65X65Y66Z76Z77_87_88`88a98a99bA9bAAc\ AAdBBdBBeCCeCCfCDgDDgDEhEEhEEiEFjFFjFGkGGkGHlGHmHI\ mHInIJnIJoIJoJLnJNmJPlKRkKTkKVjLXiLZhL`gMbgMdfMfeN\ hdNjcNkcOjbOjbPjbPjbQibQibRibRibSibShbThbThbUhbUgb\ VgbVgbWgaWgaXfaXfaYfaYfaZeaZea_ea_ea`ea`daadaadabd\ adc`bda`db_dc_F__G_ZHZYIZ } 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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Fractint's Built In Newton
by Roger Alexander 25 May '10

25 May '10

I was busy yesterday and didn't get around to posting. Here it is a rootin' tootin converging newton. Take Fractint's built in newton formula add some inversion,mix with some fmod and you get today's fractal. As usual ready made at http://maxitersfractalfollies.blogspot.com. fract228.gif { ; classical newton with fmod and inversion ; blank ; calctime 0:02:13.85 ; created May 24, 2010 ; Fractint Version 2004 Patchlevel 9 reset=2004 type=newton center-mag=42.2891/-231.357/0.007044422/-1 params=3 float=y maxiter=1200 inside=maxiter proximity=1 outside=fmod invert=23.3678395947142/-0.6718039490951/0.30027161473433 colors=05F05F05F16G16G16G16G16G27H27H27H27H27H38I38I38I38I38I49J49J49J49\ J49J5AK5AK5AK5AK5AK6BL6BL6BL6BL7CM7CM7CM7CM7CM8DN8DN8DN8DN8DN9EO9EO9EO9E\ O9EOAFPAFPAFPAFPAFPBGQBGQBGQBGQBGQCHRCHRCHRCHRCHRDISDISDISDISDISEISEJTFJ\ TFKTGKUGLUHLVHMVIMVINWJNWJOWKOXKPXLPYLQYMQYMRZNRZNSZOS_OT_PT_PT`QU`QUaRV\ aRVaSWbSWbTXbTXcUYcUYcVZdVZdW_eW_eX`eX`fYafYafZbgZbg_ch_ch`ch`diadiaeibe\ jbfjcfjcgkdgkdhlehleilfimfjmgjmgknhknhlniloimojmpjmpknpknqloqloqmprmprnq\ snqsorsortpstpstqtuqturuuruvsvvsvwtwwtwwuxxuxxuxxvyyvyywzzvyyvyyuxxtxxtw\ wsvwsvvruvquuqtupstostorsnqsnqrmprlpqloqknpjnpjmoimohlnhkngkmgjmfjleileh\ kdhkcgjcfjbfibeiaeh`dh`cg_cgZbfZbfYaeX`eX`dW_dW_cVZcUYbUYbTXaSWaSW`RV`RV\ _QU_PTZPTZOSYNSYNRXMQXLQWLPWKPVKOVJNUINUIMTHLTGLSGKSFKRFJREIQDIQDHPCHPBG\ OBFOAFN9EN9EM8DM8CL7CL6BK6AK5AJ49J49I38I37H27H16G16G05F } Roger Alexander _________________________________________________________________ Win a $10,000 shopping spree from Hotmail! Enter now. http://go.microsoft.com/?linkid=9729711

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FOTD 25-05-10 (Merging Julia Sets [8])
by Jim Muth 25 May '10

25 May '10

FOTD -- May 25, 2010 (Rating 8) Fractal visionaries and enthusiasts: Today's super quickie image is super quick only when calculated with the type=julia formula on my 2000mhz machine. When this is done, it finishes in a stunning 35 seconds. The image is a Julia set, or rather a merging of two separate Julia sets related to Seahorse Valley of the large minibtot on the west branch of the filament extending from the large north bud of the Mandelbrot set. This merging may be seen in progress by changing the initial C-value of the image. But this value is extremely critical, so change only the least significant digits. The merging of separate Julia sets was hinted at in yesterday's image, but I have never actually seen it before it appeared while I was searching for today's image. The name "Merging Julia Sets" is self explanatory. The rating of an 8 is based mostly on the mathematical interest. The artistic value is closer to a 6. And do not be surprised if the image requires quite a few minutes to calculate. The time of 35 seconds is true only on my 2000mhz fractal-optimized unit. The 200mhz machine chugs away for over 9 minutes. Of course, the finished image is available as always on the FOTD web site at: <http://www.Nahee.com/FOTD/> While reading the May 31 issue of the struggling 'Time' magazine at lunch today, I came upon a short article on page 15 about the results of the latest study of the possible connection between cell-phone use and brain damage. The study proved inconclusive. Surprise, surprise. This is exactly what would be expected from a team of investigators who cannot honestly say the phones are safe, and at the same time are under heavy political pressure not to declare them a risk. My opinion is that the continuing inability to find the phones safe for unlimited use is an implied admission of the risk of cell-phone radiation. I, for one, consider the phones to be devices mainly for emergencies. I'm also thankful I have no children worrying me for a __________. (Fill in the blank with whatever wireless on-line device is the current fad among the kiddies.) Monday turned out better than expected here at Fractal Central. There were more clouds than would have been ideal, but no rain fell and the temperature reached a very comfortable 79F 26C. The fractal cats kept their eye on the activity at the nearby hawk's nest most of the time. For me the day was about average, and with any luck, tomorrow will be the same. The next FOTD will be posted in 24 hours. Until then, take care, and maybe the cell-phone situation is a plot of the evil aliens from Arcturus who want to turn us into brain-dead zombies. But wait a minute . . . Why do we need aliens when the public schools are already doing the job? Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Merging_Julia_Sets { ; time=0:00:35.37-SF5 on P4-2000 reset=2004 type=julia center-mag=0/0/36910/1/127/0 params=-0.1613440487151149/-1.036047040470627 float=y maxiter=250000 inside=0 periodicity=0 colors=000NB6NC6OC6PD6QE6QE6RF5SG5TG5TH5UI5VI5WJ4W\ K4XK4YL4ZM4YL3ZM4_N5`N6`O6aO7bP8bQ8cQ9dRAeRAeSBfSC\ gTCgUDhUEiVEjVFjWGkXGlXHlYImYInZJoZKo_Kp`Lq`MqaMra\ NsbOsbSsbQsbPsbOraMp_LoYKnWImVHkUGjUEiUDiUBhUChUCh\ UDhUDgUDgUEgWEgYEg_FfaFfcFfdGfeGffGegHehHeiIejIdkI\ dlJdmJdnJdoKcpKcqKcrLcsLft8iuDfvHcwL`xPYyTVzXRzaOz\ eLziIzmFzqCzu9zyCzvEzsHzqJznMzkOziRzfTzdWzaYzZ`zXb\ zUezRgzPjzMpzHozInzJmzKlzKkzLjzMizNhzNgzOfzPgzQhzQ\ izRjzSkzTlzTmzUnzVozWpzWqzXrzYszZtzZzz_zz`zzgzzmzz\ gzwcwtdtqdqpdnodkmchkcekbbjb_jaXiaUi`Rh`Oh_Lg_KfZK\ fZKeYKeYKdXJcXJbWJbWJaVJ`VJ_UJZUJYTIXTIWSIVSIURIUR\ IUQIUQEUSFUTGUSHTRISQJRPKQOLPNLPMMOLNNKOMJPLHQKGRK\ FRLESLDTLCULBVLAWL9XL8ZN6YN7XN7XM7WM7WM8VL8VL8UKTU\ KTTKTSKSSJRRJQRJPQIOPINPHMOHLOHKNGJNGIMGHLFGLFFKFE\ KEDJECCABEBAGCAIDAJEALFANGAH6AIAIJAAKAALAAMAAMAAMA\ AMAAMAANAANAANAANAANAANAA } END PARAMETER FILE=========================================

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Swirlies
by Roger Alexander 24 May '10

24 May '10

Today's graphic has an unexpectedly convincing 3d appearance. The swirling design could represent the root system of some silicon based vegetation. This brings me to a completely unrelated point. I run Fractint through the dos emulator D-Fend Reloaded under Vista. When generating the fractals I frequently switch between background and foreground processes which means the calctime values in the par files may longer than if generated completely in foreground mode( I use a laptop with an Intel 2 GHz T3200). To avoid the bother of having to prove this view the completed fractal at http://maxitersfractalfollies.blogspot.com fract225.gif { ; swirlies-almost 3-d ; blank ; calctime 0:05:41.86 ; created May 23, 2010 ; Fractint Version 2004 Patchlevel 9 reset=2004 type=formula formulafile=forum_97.frm formulaname=january_gen function=abs/cabs/exp center-mag=-1.65129/0.104802/3.370408/1/24.9990000000000165/2.5833502004\ 2466112e-014 params=6/-1/10/-1 float=y maxiter=1000 proximity=2 outside=fmod decomp=256 periodicity=0 cyclerange=0/255 colors=000000000100100200400500700900B00D00G00I00L00O10Q10T10W10Z10a10e1\ 0h20k20o20r20v20y20z30z50z60z80z90zB0zC0zE0zF0zH0zI0zK0zL0zN0zO0zQ0zR0zT\ 0zU0zW0zX0zZ0z_0za0zb0zd0ze0zg0zh0zj0zk0zm0zn0zp0zq0zs0zt0zv0zw0zy0zz1zz\ 3zz4zz6zz7zz7zy7zx7zx7zw7zv7zv7zu7yt7ys7ys7yr7yq6yq6yp6yo6yo6xn6xm6xl6xl\ 6xk6xj6xj6xi5xh5wh5wg5wf5we5we5wd5wc5wc5vb5va5va5v`4v_4vZ4vZ4vY4vX4uX4uW\ 4uV4uV4uU4uT4uS3uS3uR3tQ3tQ3tP3tO3tO3tN3tM3tL3sL3sK3sJ2sJ2sI2sH2sH2sG2sF\ 2rE2rE2rD2rC2rC2rB1rA1rA1r91q81q71q71q61q51q51q41q31p20p20o20n20m20m20l2\ 0k20j20j20i20h20g20g20f20e20d20d20c20b20a20a20`20_20Z20Z20Y20X20W20W20V2\ 0U20T20T20S20R20Q20Q20P20O20N20N20M20L20K20K20J20I20H20H20G20F20E20E20E2\ 0D20D20C20C20C20B20B20A20A20A2092092092082082072072072062062052052052042\ 0420420320320220220220120120010000000000000000000000000 } frm:January_gen { ; Modified Sylvie Gallet "january" formula ; Based on Scott Burns equation solver applied to z^3-1 = 0 ; Use decomp = 256 ; generalized by Les St Clair, Dec 1997 ; use p1(real)=6, p2(real)=10, fn1=abs, fn2=cabs & fn3=exp for default behaviour z1 = pixel , iter = 0 a = 23*(0,0.0245436) ; 23 * 2i pi / 256 mz = fn1(fn2(z1)-1) : if (mz >= 0.1) z2 = z1*z1 z1 = ((1,-1)*z2*z2 + (7,1)*z1) / (2*z1*z2 + p1) mz = fn1(fn2(z1)-1) , cont = 1 iter = iter + 1 else z = fn3((iter + p2*mz)*a) cont = 0 endif cont } Roger Alexander _________________________________________________________________ 30 days of prizes to be won with Hotmail. Enter Here. http://go.microsoft.com/?linkid=9729709

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FOTD 24-05-10 (Passing in the Night [6.5])
by Jim Muth 24 May '10

24 May '10

FOTD -- May 24, 2010 (Rating 6.5) Fractal visionaries and enthusiasts: For some strange reason, today's image reminds me of two ships passing peacefully in the night, which explains the name "Passing in the Night". But the image does not show two ships passing; it shows two almost-Julia sets arranged in a symmetri- cal pattern around an imaginary point. The image is located in the Seahorse Valley complex of the large minibrot on the main spike of the Mandelbrot set. The orienta- tion is double-rotated 0.005,0.005 degrees from the true Julia direction. As is true of many near-Julia sets, this tiny rota- tion makes a world of difference in the appearance of the inside parts of the parent fractal. The twin almost-Julia-set theme of today's image is repeated without change at ever smaller scales at the centers of the Julia sets in the image, apparently all the way to infinity, which is the way things usually go in the world of fractals. The basic image rates a 6. The extra half-point that brings the rating to 6.5 is a reward for the effort I put into coloring the scene in an effort to make the almost-Julia sets resemble real three-dimensional objects. The calculation time of 5 minutes is true on the 2000mhz unit. Surprisingly, on the 200mhz unit the same image finishes in well under 9 minutes, which is only 1.8 times the running time of the supposedly 10 times faster unit. Even more surprising, with type=mandel fractals the 10-times-faster machine runs almost 20 times as fast. But why not forget this timing confusion by visiting the FOTD web site at: <http://www.Nahee.com/FOTD/> and viewing the finishedimage there. Clouds and occasional light showers of rain marred Sunday here at Fractal Central, though the temperature of 75F 24C could hardly have been improved upon. The fractal cats showed their dis-satisfaction when they got into a spat to decide who would spend the afternoon on the ottoman foot-stool. Cassie won the minor dispute with a loud hiss and a hit to Nicholas' head. Nicholas then sulked for an hour or so. My day was about average; most likely Monday will be the same. The next FOTD will be posted in 24 hours. Until then, take care, and everything that happens above the quantum level has a probable cause, but does it have a reason? Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= PassingInTheNight { ; time=0:05:08.10-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=SliceJulibrot4 center-mag=+0.000680161\ 02056917/+0.00100690867803902/1095589/1/-2.5/0 params=89.995/0/89.995/90/-1.768531/0.0002/0/0/2/0 float=y maxiter=32767 inside=255 periodicity=0 colors=000Ok5Ok5Nk5Pl5Um5Zn5co5hp5mq5rr5vz4zz3zz2z\ z2vz4rz6my7hw9cuBZsCUqEPpGKoHInJKmLLlMNkOPjQQiRShT\ TgURfSQfRPeQOePNdOMdMLcLKcKJbJIbIHbGGaFFaEE`DD`CC_\ AB_9AZ89Z78Z69`CAbIBcOCeUDg_EhdIccM_cPWcNYdM_dLaeK\ beIdfHffGggFigDkhCmhBniApi8rj7sj6uk5wk4xk6wl8vlAum\ BtmDsmFrnGqnIpnKooLnoNmpPlpQkpSjqUiqVhqXgrZfr_frag\ nbhjdigejcgk`hlXjmUkmQmnNnoJppGqqCsr9ts5us2tp3sm3s\ k3rh3qf4qc4pa4oZ4oX5nU5mR5mP5lM6kK6kH6jF6iC7iA7h77\ H6RJ7TL8VN9XPA_RBbTCeVDhXElZFo`GrbHucIxdJzdKzeLzeM\ zeNzfOzfPzgQzgRzgSzeTzcUzbXz`Zz_azYczXeuVhuTjtSmtQ\ otPqsNrsMssItoFukBvg8wd4r`1mX0hUBcTDZSFVRHSRJQQLOP\ NMPQKOSJNUINeMMjTLrVLwYKz`JzcJzdIzcHzaHz_GzYFzWFzU\ GvSHqQInOJkMKhKKfILeGMcEKbCF`DAZEAYFAWGAVHATIASJAQ\ KAOKALKAJKAHKAJKALKANKAPLFRMGTNGROHPPINQJMRKLSKKTL\ JUMIVNHWOGXOGYNGXNHWMHVLIULIUKJUKJUJJUJKUIKUHLUHLU\ GMWGMYFM_FQaDUcBXeA`g8ci7 } 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), c=p+flip(q)+p3, z=r+flip(s)+p4: z=z^(p5)+c |z|<=9 } END PARAMETER FILE=========================================

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