May 2013 - Fractint - mailman.xmission.com

FOTD 15-05-13 (Crystal Cities [M-4,A-6])
by Jim Muth 15 May '13

15 May '13

FOTD -- May 15, 2013 (Rating M-4,A-6) Fractal visionaries and enthusiasts: In today's image we take a brief break from hyperland and check the parent fractal that results when the formula Z^(1.37)+C is iterated 1.37 levels up the hyperladder with no function applied. This parent appears as a shapeless main bay with an equally large and shapeless period-2 bud attached to the northwest side. Today's image is located in a twisting filament just inland of the eastern shore line of the parent's main bay. I named the image "Crystal Cities" for no apparent reason. The math interest rates a rather boring 4, the artistic worth, a not much better 6. The calculation time of a mere 45 seconds will remove some of the disappointment if the image lays an egg. The finished image should be posted on the official web site at: <http://www.crosscanpuzzles.com/Archives.html> but the host site has been having problems and has been hard to access lately. It might be down. If it is down, check the hi-def version of the image at Hal's site at: <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> Hopefully, his site is up to date: Regardless, the back images are online at: <http://www.Nahee.com/FOTD/> A rather pleasant day passed virtually un-noticed today here at Fractal Central, with ample sun and a temperature of 75F 24C. The fractal cat enjoyed the few beams of sunlight that managed to sneak into F.C. (We get little inside sunlight during the high-sun-angle time of year.) The humans made the best of things. The next FOTD will be posted in a matter of hours. How many hours is yet to be determined. Until whenever, take care, and get hot under the collar about climate-change-global-warming. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Crystal_Cities { ; time=0:00:45.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=MandelbrotBC3 function=ident passes=1 center-mag=+0.80267755/+0.71031711/117.094/1/65/0 params=1.37/0/1.37/0 float=y maxiter=16000 inside=0 outside=tdis logmap=28 periodicity=6 colors=000zJnzEozAsz6uz2wy6ys9zlCzfCz7CcUCcOCcJCcD\ Cc9CcKCcRCY`CHdC4_C1OA0E20500000200605A0AE0GJ0MP0R\ U0Y_0cd0li0so0yq0wq0wq1wq5wqAwqEwqLwqPwsUus`usfusn\ ussuszuszuszuUgfRidOn`Lo_HsWEwTCyR9zO6zM4zJ1zH2zG4\ yG5uG6oG6lE7fE9bEAYEAUE7YG6`G5dH2gH1lJ0oJ0sL0wL0zM\ 0zM0yL1sL4nL7gLCbLEYLJTJMOJRJJWEJ_AJd6Jg4JlADoH9sP\ 5wY1zf0zo0zw0uy0lz0bz0Uz0Mz0Ez07z0Az0Dy0Eu0Hq0Ln0M\ l0Pg2Td5U`6YY9`WCbTDfPGiMJlJLoHOsERuCTy9Wz6_z`GzdG\ zfGzgGziGzlGznGzoGzqGzsGzuGzzHzwGzuEzsEzqDznDzlCyi\ CwgAwd9ub9s`7sb7qd6of6og5ng4lg4lg2ig2gq1lq0gq1fq2b\ q4`q4_q5Wq6Uz6Tz7Pz9Oz9MzAJzCHzCGzDDzECzGAzG7zH6zJ\ 5zJ2zL1zM0zM0zO0zP0zT0zR0zP0zO2zM6zLAzLEzJHzHMzGRz\ EWzE`zDfzClzAqz9wzAuz9uz7uz7uz6sz5sz5sz4sz2qz2qz1q\ z0qz0oz0oz0oz0oz0nz0nz0nz0nz0lz0lz0lz0iz0lz0lz0nz0\ nz0oz0oz0qz0qz0sz0sz0uz0uz0uz0qz0oz0nz1lz6izAgzGlz\ MzzHzzHzzHzzHzzHzzGzzGzzG } 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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Another Black Hole !?
by JackOfTradeZ＠comcast.net 15 May '13

15 May '13

. Here is what I saw: http://dl.dropboxusercontent.com/u/33642054/image/fotd_20130510_1200_5.jpg . If you zoom in, the black hole eventually fills the screne, as in my recent viddie. If you increase iterations, it appears to "retreat" to distance and get smaller. The black is not really "lake" region, it is simply "high iteration count to escape" region, and it increases the closer to the "center". This continues to infinity - there is no minibrot or anything else there. .

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FOTD 13-05-13 (Surprise Test [M-7,A-7])
by Jim Muth 14 May '13

14 May '13

FOTD -- May 13, 2013 (Rating M-7,A-7) Fractal visionaries and enthusiasts: The discussion is brief because the day was very busy. Today's image shows a tiny minibrot in the East Valley area of a larger but still small minibrot on the main stem of the Mandelbrot set. The minibrot has been almost totally filled in by hyper-stuff, with the only remaining open area a black dot at the center of the main bay. The math value is down 2 points from yesterday's, since the effect is not as surprising as the title would imply. The artistic worth is up a point however, due to the extra effort I hurriedly put into the coloring. The name "Surprise Test" is an exaggeration. I was really not very surprised when I saw the image The calculation time of a mere 30 seconds will make all fractal troubles vanish like a black cat on a dark night. See the light! Enjoy the finished image posted at: <http://www.crosscanpuzzles.com/Archives.html> Thrill in the hi-def version at: <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> And if today's image leaves you hungry for more, check the thousands of FOTD back FOTD fractals and hair-raising discussions online at: <http://www.Nahee.com/FOTD/> A definite chill was in the air here at Fractal Central today, with a mix of sun and clouds and a temperature of 52F 11C. The low tonight is forecast to be 27, which could be the lowest ever recorded in May. No wonder the local farmers are worried. The fractal cat is not worried however. An extra treat of tuna kept him happy most all day. The fractal people made it through a very busy day with a minimum of distractions. The next FOTD will be posted, tomorrow if all goes well, the next day if it does not. Until whenever take care, and where is the outrage about the bombing in Afghanistan and the 19 people shot at the parade in New Orleans? I guess people get outraged only when the news media jumps on a story, thereby telling the public, (Are we a flock of such easily manipulated sheep?) that it's time to be angry again. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Surprise_Test { ; time=0:00:30.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=HyperMandelbrot2 passes=1 center-mag=-1.832274747051162/0/1.349499e+010 params=0/0/0/0/0/1/1e-050/0 float=y maxiter=1600 inside=0 logmap=198 symmetry=xaxis periodicity=0 colors=0000680740820A10B00C00E00F00G00H01K02M04P05\ R15U25W55Z75`85cB5eC5gF5iH5mJ5qL5sM5vP5yRHzSUzVezW\ kzZez_UzbHzc6td6pe6lg7hh7ei7bj7_k7Xm8Un8Ro8Nq8Kr8H\ s7Hq7Jo7Mn6Om6Sk6Vj5Yh5Zg5_e4`d4`c4bb2c_2cZ2dY1eW1\ gV1gU0hR0iQ0iP0jO0kM0mL0mJ0nH0oG0oF0qE0rC0rB5_2EC0\ FE0FF0GF0GG0GG0HH0HH0JJ0JJ0JK0KK0KL0LM0LM0LN0MM0MN\ 0OO0OR0OS0PU0PW0QZ0Qa0Qb0Re0Rf0Sh0Sh0Sl0Ul0Us0mx0m\ z0Wv0Wr0Ym1Zh2Zc4_Z5`Y7`V8bUAcRBcQCdOEeMFeMHgLJhKK\ hJLiHMjGOjFPkERmCSmBUnAVo8Wo7Yq6Zq6_k6Wg6Uc6RZ6PU6\ LQ6JL6GC7BG6EdUEbSC`RC_QCAQOAPPAPQBORBMSBMUBLVBLWB\ KYCJZCJ_CH`CHbCGcEFdEFeEEgEEhECiECiCEjCEjCEjCEkCEk\ CEkCFmCFmCGmCFnCGnCFnCGoCGoBGoBGqBHqBHqBJrBJrBKrBK\ rBLsBLsBMsBMtBOtBOtBPvAPvAQvAQwURwURwUZxedxeexrkyr\ myzzzzzzzzzrozeizUhxHhw8gv8gt8gr8eq8eo8dn8dk8djrci\ 7ch7beebd7bcr`b7`_7_Zz_Y7_W7ZU7ZSzZR6YQ6YP6WM6WL6W\ K6VJ6VG6UF6UE6UC6SA5S8zR7 } frm:HyperMandelbrot2 {; periodicity must be turned off a=(p1),b=(p2): q=sqr(a)-sqr(b)+pixel, b=(p3+2)*a*b+p4, a=q, |a|+|b| <= 100 } END PARAMETER FILE=========================================

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FOTD 12-05-13 (Oh_I_See_You [M-9,A-6])
by Jim Muth 14 May '13

14 May '13

FOTD -- May 12, 2013 (Rating M-9,A-6) Fractal visionaries and enthusiasts: Today's rating is in two parts, a math part and an art part. The mathematical interest is quite high, the artistic interest, just so-so. The scene lies well inside the main bay of the Mandelbrot set, where nothing but a blank screen should be expected, but today's image is anything but blank. The 'ghost bud' peeking out from behind the dark foreground stuff on the left is the first sign I have found of minibrots in the hyper part of the HyperMandelbrot set. True, the scene is not critical, but it is a sign that interesting discoveries might lie ahead. So far however I have been unable to bring the partially hidden bud out into the open. The hole at the center of the parent fractal closely resembles the mandel-object found by Mike Frazier at the bottom of what I had previously assumed was an endlessly shrinking series of concentric fractal starbursts. Today's scene lies inside a second-order bud at the edge of the circluar hole at the center of the main bay of the M-set. The superior math rating of a 9 is held down by the merely average artistic-worth rating of a 6. The name "Oh I See You" describes how I felt when I first caught sight of the unexpected bud. The calculation time of 7 minutes is slow, let's face it. The way to avoid time frustration is to find relief on the web sites. Enjoy the finished image posted at: <http://www.crosscanpuzzles.com/Archives.html> Thrill in the hi-def version at: <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> And if today's image leaves you hungry for more, check the thousands of FOTD back fractals online at: <http://www.Nahee.com/FOTD/> A mix of sun and ragged clouds, a temperature of 59F 15C and a brisk northwest wind made today feel unseasonably chilly here at Fractal Central. The fractal cat managed to find a stray shaft of sunlight in the afternoon, and curled up in comfort, but a cloud covered the sun after only 10 minutes and he retired to claim my favorite chair. With no mothers to visit, the fractal humans had a pleasant day at a local barn that has been conver- ted into an antique shop. The next FOTD will be posted in the proper time. Until that wonderful moment arrives, take care, and if the right is right, how can the left be right? Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Oh_I_See_You { ; time=0:07:00.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=HyperMandelbrot2 passes=1 float=y center-mag=-0.1237598874/+0.0164735574/3530/1/-23/0 params=0/0/0/0/10/0/1e-060/0 maxiter=7200 inside=0 logmap=459 periodicity=0 colors=00060I50K70J70K80K90LA0LB0KC0KD1LE2MF3OH4PJ\ 5RL6SN7UP8WR9XTAZWB_ZC`aD`cEacFacGbcGdcHccIbcHacIa\ cJ`cI_cJZcJZcJYcJXcKWcKWcLVcMUcMTcNTcOScORcPQcPQcP\ PcPOcPNcPRcPPcPNbPMaPK`PJ`NH`MG_ME_KDZJBZIAXJBWKCV\ LDUKETKFSKGRKGQKHPKIOKJNKKMKLLKMKKMJJNIIOHHPHGQKMR\ JMSIMSHMTGMUFMVEMWDMXCMXDMWEMWFMVFMVGMUHMUHMTDGTEH\ SFISFJRGKRHKQHKQIKPJKPKKOKKOLKNMKNMKNNKMOKMPKLPKLQ\ KKRKKRKJSKJTKIUKIUKHVKHWKGWJGXIFYHFZGEZFE_FE_JG_JG\ ZIGZIGZIGZHGZHGYGGYGGYGGYFGXFGXFGXEGXEGXEGWDHWDHWC\ HWCHVCHVBHVBHVBHUAHUAHUAHU9HU9HT8HT8HT8HT7HS7HS7HS\ 6HS6HS6HT7GT8GT9GT9GTAGTBGUCGUCFUDFUEFUFFUFFVGFVHF\ VIEVIEVJEVKKWLKWLKWMKWNPWNPWOPXPPXQUXQUXSUXTUXTZYT\ ZYUZYWZYXcYYcYZcZ_cZahZahZbhZchcembkmbkmbkmbkrbkrb\ krbkrbkwhkwhkwhkwhkzhkzblzhlzhlzhlzhlzhlzhlzhlzhlz\ hlzhgzhgzhgzhhzmmzmmzmmzmmzmmzmmzmwzmwzmwzzwzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzz } frm:HyperMandelbrot2 {; periodicity must be turned off a=(p1),b=(p2): q=sqr(a)-sqr(b)+pixel, b=(p3+2)*a*b+p4, a=q, |a|+|b| <= 100 } END PARAMETER FILE=========================================

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FOTD 11-05-13 (Hyperscene [7.5])
by Jim Muth 11 May '13

11 May '13

FOTD -- May 11, 2013 (Rating 7.5) Fractal visionaries and enthusiasts: Today's image begins an investigation of the 'hyper' parts of the HyperMandelbrot set. The investigation will continue in the days to come, when hopefully, we will stumble upon some far better hypervistas. Today's hyper vista lies in the East Valley area of the minibrot on the main stem of the parent M-set. The name "Hyperscene" is a description. The rating of 7-1/2 is a come-down, but still a bit above average. The calculation time of 2-1/4 minutes is fair enough, but the wait can be cut somewhat by visiting the web sites. The calculated image is at: <http://www.crosscanpuzzles.com/Archives.html> A hi-def rendering is at: <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> FOTD back images are at: <http://www.Nahee.com/FOTD/> An all-day rain watered down the planned outside activities here at Fractal Central today. The temperature of 66F 19C was fine, that is for the ducks. The next FOTD will be posted when it is ready. Until then, take care, and don't look here for a clever closing remark. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Hyperscene { ; time=0:02:15.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=HyperMandelbrot2 center-mag=-1.7499737\ 29001535/+0.00000626490393988/1.235225e+011/1/100/0 params=0/0/0/0/0.5/0/1e-050/0 float=y maxiter=5200 inside=255 logmap=590 periodicity=0 mathtolerance=0.05/1 colors=0000FT0FU0FV0FW0FX0FY0FZ0F_0F`0Fa0Fb0Fc0Fd0\ Fe0Gf0Hf0Ig0Jh0Ki0Li0Mj0Nk0Ok0Ql1Sl2Um3Vm4Xn5Zn6`o\ 7ao8cp9epAgqChqEjrHlrKnsOosSqtWst_uucvuhxwmzzrzzzz\ zUFWUI_WLcYPgXUeWZcVbaUe_TeYTeWSeUReTQeRPePPeNOeLN\ eJMeHLeFLeEKaFJYFJUGIQGIMHHIHKEIHFHFGHDHHBIH9JH6IJ\ 7KH8LG9NFAOEBPDCRCDSAEU9FV8GW7HY6IZ5J_4LX7NU9PRBRO\ DTLGVIIXFKYDMRGVLIcKGdJFeJEfIDgICgHAhG9iG8jF7kF6kD\ 9cCCXAFP9IIeX88KBDNAHP9MR8QT7VV6ZX6bZ5g`4kb3pd2tf1\ xh1qa8kWEePKZJQTCWN6aIA`DE`8I`3L`8JYDHWHGUMESQCQVB\ NZ9Lc7Jg6Hl4Ft48p3Dm3Hi3Mf3Qb3V_2ZW2cT2gP2lM2pJ2tO\ GhTUXXfLYfMYfNYfOYfPZfQZfQZfRZfS_fT_fU_fU_fV`fW`fX\ `fYYc``fYciVelShoPjrMmuJoxGlnDieAfX7dO5_N3WM2RL1NK\ 0QJ3SJ6UJ8WJBYJE_JGaJJcJMeJOgJRiJUkJWmJZoJ`pKYpKWp\ KUpKSpKQqKOqKMqLKqLIqLGrLErLCrLArL8vN5rL6nK6kJ6gI7\ dG7cF7cE8cD8cB8cA9m99m89m6AzUAzUAzXazWAzcBzUBzUCzU\ CzUCzUDzUDzYEzaEzeEziFzmF } frm:HyperMandelbrot2 {; periodicity must be turned off a=(p1),b=(p2): q=sqr(a)-sqr(b)+pixel, b=(p3+2)*a*b+p4, a=q, |a|+|b| <= 100 } END PARAMETER FILE=========================================

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FOTD 10-05-13 (Variation [8.5])
by Jim Muth 11 May '13

11 May '13

FOTD -- May 10, 2013 (Rating 8.5) Fractal visionaries and enthusiasts: Today's image lies in the same area of the same parent fractal that gave us yesterday's image, though it is located deeper in the parent's East Valley than yesterday's. It would have rated a 9 if it had not been a virtual repeat, but the actual rating of 8-1/2 is still high enough to do justice to its dark somber mood. Once again, there is no minibrot lurking at the center of the image, which apparently continues down forever, with the number of arms increasing in the same irregular manner. In fact, I have yet to find a single minibrot in any of the strange higher- dimensional parts of the HyperMandelbrot set. This is really not surprising, since HyperMinibrots would be four-dimensional and unable to be squeezed onto a flat 2-D screen without huge distortion. The name "Variation" points out that the image is a variation of yesterday's theme, rather than something new. The good news is the fireball calculation time of 40 seconds, which will be cut substantially if the parameter file is run on one of the present-day multi-processor hot-rod units that the Fractint program cannot yet (if ever) take advantage of. The not-so-secret path to total freedom from parameter-running chores lies on the FOTD web sites, where fractal enlightenment abounds. The official FOTD web site, where the basic finished image is posted, may be accessed at: <http://www.crosscanpuzzles.com/Archives.html> with studies of the image in high-definition at: <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> The FOTD back fractals from April 1997 are filed at: <http://www.Nahee.com/FOTD/> The day began with dense fog here at Fractal Central. The fog lifted later in the morning, but the sun had a hard time break- ing through higher clouds. We did have enough sun however to raise the temperature to 73F 23C, which made the fractal cat happy even from his lookout post inside FC. The humans had one more in the apparently endless string of normal days. But this does not imply boredom. After all, who needs sensational happen- ings in their daily lives when there is quite enough sensation coming from the mass media. The next FOTD will be posted in a nominal amount of time. No temporal anomaly is implied however. Until next time, take care, and mythological stories are symbols that, when properly understood, describe the spiritual world; just as mathematical expressions are symbols that, when properly understood, describe the physical world. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Variation { ; time=0:00:40.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=HyperMandelbrot2 center-mag=+0.2564007\ 14981565/-0.000985574462821/3.572718e+007/1/-90/0 params=0/0/0/0/0.9/0/1e-020/0 float=y maxiter=1000 inside=0 periodicity=0 colors=000eFLfIKiKJkMIlOGnSEpWDrZCscBvfAyk9zo8zr9z\ u6GCQEDMDEJBEF9FC8G95I50O14J3BF4GC5O88V49f1Am0Bh2F\ d6J`AMXEQTJUQMZOScKXfI`kFeo9kyDisGinKiiOidSi`WiWZi\ SchMfhIkhEohAsh6xh2zn0zh0xd1sZ3oW6kS9fMBcJDZFGWBJS\ 8LO4PK0SG0UD0UE0XF0YF0ZG2`G5aI9cJCdJEeKIfKLhLPkMSl\ MWnOZoOcpPerQisQnuSrv2k`Sux0yX0pW0iW0cU0XU2QT4KT6E\ S99SB3QA0UC0QE0OF0LI0IK0FL0DO0AQ08S05U02X00W00Y00Z\ 53`B9cGEdMKeUQh`Xifckniizuluonnipfdr`ZsUUvOPxIKz9D\ yCGyEKxGMxKQvMUzTZvPXsKYrLWpLUoMTnMSlOQlOPkPMiPLhQ\ KfQJeSIcMCeSGfWLh`QidWki`lnenrkoofoncolZoiWohSofOo\ dKocIoaEoZBoY8oX4oU1oT0pP0sS0vU0yX0zZ0za0zd0zf1zi2\ zk2zn3zp4zs5zv5zy6zz8zz9zz9zz6zz4zz3zz100000210320\ 430540650760860970A82BA4DC6EE8FGAGJCIIFKIILGLMGOOF\ RPFUQIWTKYWM_YPaZQcaTedWgfYihZkk`mncoofrriuukwxnxy\ pzzszzuzzsszqpylorghsd`p`JnYDkU8hQ2eL0`H0aD0Y80Q60\ H40E11D23CA5GG6LO9PWBOdDM } frm:HyperMandelbrot2 {; periodicity must be turned off a=(p1),b=(p2): q=sqr(a)-sqr(b)+pixel, b=(p3+2)*a*b+p4, a=q, |a|+|b| <= 100 } END PARAMETER FILE=========================================

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Mike Frasier used Fracton to render Jim's FOTD for May 6th, 2013
by Hal Lane 10 May '13

10 May '13

Mike Frasier used his Fracton program (on a Mac) specifying ~28 decimal digits of precision and anti-aliasing to render a version of Jim's FOTD for May 6th, 2013 without loss of precision artifacts. To see the improvement, the two images to compare are Fractint's anti-aliased version, and Mike's version. You can also compare the unanti-aliased Fractint version with Mike's... Don't forget to click on the image in your browser to view it actual size Â- to prevent it from being re-sampled by your browser! If a browser re-samples an image, it can significantly change what you see and make comparisons between images meaningless. Please navigate to May 6, 2013 thru my home page: Thanks. http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html Jim always uses: float=y and, assuming that Fractint uses IEEE 754 double-precision binary floating-point format for its floating point calculations, Fractint is using 15 to 17 decimal digits during its number crunching: http://en.wikipedia.org/wiki/Double-precision_floating-point_format // Would a Fractint developer please comment on my assumption? Of course, errors can accumulate during computation -- especially in repeated calculations as are used in fractals. I typically find visible anomalies starting to appear in Fractint fractals at magnifications of around 10^(11) or 10^(12) depending on the fractal. You can really see the improvement in Mike's ~28 decimal digit anti-aliased version clearly by using my "blink microscope" method (described at the bottom of each monthly page on my site of Jim's FOTDs.) The method is described where my page says: "Here's a nifty way to compare..." Please ignore the slight image shift when 'blinking' between the two versions of anti-aliased images. I'm really partial to using the keystroke method of switching the viewed tab -- since you don't have to take your eyes off the fractal to switch the tab you're viewing. The differences between the images will then hit you in the face like a wet mackerel. - Hal Lane ######################## # hallane(a)earthlink.net ########################

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FOTD 09-05-13 (Out in Left Field [9])
by Jim Muth 09 May '13

09 May '13

FOTD -- May 09, 2013 (Rating 9) Fractal visionaries and enthusiasts: I have no idea why I named today's image "Out in Left Field", but that's how it goes sometimes. The lack of a logical reason for the name is no problem however. With a rating of a 9, the image needs no fancy, logical name. The image is a scene in the East Valley area of a Hyper- Mandelbrot set that is filling in around the edges of the main bay and inside the buds. The brilliant white hole at the center is not an under-resolved minibrot. It is all that remains of the period-21 bud on the south side of East Valley of the M-set. The rest of the bud is filled in with patterns similar to those in today's image, which, like the stack of world turtles, goes down forever. One of these days, someone like Mr. Mandelbrot (may he rest in fractal land) will determine exactly what is going on in images like today's. Unfortunately, I am not that person. The rating of a 9 is no mistake. The unusually brilliant colors, for which I *am* responsible, earn the rating. The calculation time of 50 seconds is a joy to experience. It's so fast that the calculation is dangerously close to finishing before it starts, thereby creating a time paradox. Checking the image on the web sites will eliminate this threat. Be safe! Check the finished image at: <http://www.crosscanpuzzles.com/Archives.html> and the augmented version at: <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> And don't forget the back images at: <http://www.Nahee.com/FOTD/> After yesterday's deluge, today, even with its heavy clouds and chilly temperature of 68F 19C, was an improvement. It was also the fractal cat's day for a check-up at the doctor. He endured the discomfort bravely, but showed a bit of resentment when he returned to FC. The next FOTD will be posted when it is ready. Until this readiness arrives, take care, and the paranormal does indeed exist. It is nothing more than natural things we do not yet understand. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Out_in_Left_Field { ; time=0:00:50.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=HyperMandelbrot2 passes=1 float=y center-mag=+0.27135683245/-0.00622833825/105332 params=0/0/0/0/0.9/0/1e-020/0 logmap=190 inside=255 maxiter=1500 outside=imag logmap=190 periodicity=0 colors=00000210320430540650760860970A80BA0DC0EE1FG\ 3GJ6IIAKIDLGGMGKOFOPFUQIWTKYWM_YPaZQcaTedWgfYihZkk\ `mncoofrriuukwxnxypzzszzuzzpoznhykavfWsdPp`JnYDkU8\ hQ2eL0`H0aD0Y80Q60H40E11D23CA5GG6LO9PWBOdDMeFLfIKi\ KJkMIlOGnSEpWDrZCscBvfAyk9zo8zr9zu6GCQEDMDEJBEF9FC\ 8G95I50O14J3BF4GC5O88V49f1Am0Bh2Fd6J`AMXEQTJUQMZOS\ cKXfI`kFeo9kyDisGinKiiOidSi`WiWZiSchMfhIkhEohAsh6x\ h2zn0zh0xd1sZ3oW6kS9fMBcJDZFGWBJS8LO4PK0SG0UD0UE0X\ F0YF0ZG2`G5aI9cJCdJEeKIfKLhLPkMSlMWnOZoOcpPerQisQn\ uSrv2k`Sux0yX0pW0iW0cU0XU2QT4KT6ES99SB3QA0UC0QE0OF\ 0LI0IK0FL0DO0AQ08S05U02X00W00Y00Z53`B9cGEdMKeUQh`X\ ifckniizuluonnipfdr`ZsUUvOPxIKz9DyCGyEKxGMxKQvMUzT\ ZvPXsKYrLWpLUoMTnMSlOQlOPkPMiPLhQKfQJeSIcMCeSGfWLh\ `QidWki`lnenrkoofoncolZoiWohSofOodKocIoaEoZBoY8oX4\ oU1oT0pP0sS0vU0yX0zZ0za0zd0zf1zi2zk2zn3zp4zs5zv5zy\ 6zz8zz9zz9zz6zz4zz3zz1zzz } frm:HyperMandelbrot2 {; periodicity must be turned off a=(p1),b=(p2): q=sqr(a)-sqr(b)+pixel, b=(p3+2)*a*b+p4, a=q, |a|+|b| <= 100 } END PARAMETER FILE=========================================

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FOTD 08-05-13 (Sinuous Discharge [8])
by Jim Muth 08 May '13

08 May '13

FOTD -- May 08, 2013 (Rating 8) Fractal visionaries and enthusiasts: Today's image with its lightning-like filaments reflects the weather today here at Fractal Central. The formula causing all the bad weather on the screen takes 1.5 parts of Z^(-1.1) and combines it with 0.3 part of Z^(-7.4) before adding (1/C) on each iteration. The resulting parent fractal is a hugely oversized thing resembling an upside-down figure eight, with today's scene lying on the filament extending east from the east branch of the valley separating the two large lobes of the parent. The name "Sinuous Discharge" refers to the image's sinuous outer curves as well as the electrical effect of the brilliant inner curves. The rating of an 8 is getting to be a habit, a habit that I hope continues. The calculation time of 1-1/3 minutes is appropriate for the image, neither too fast nor too slow. But a chore remains -- the chore of setting up this e-mail as a parameter file and running it. Thankfully, this is when the web sites are there for the rescue. Check the finished image at: <http://www.crosscanpuzzles.com/Archives.html> and the hi-def variations at: <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> The back images are posted at: <http://www.Nahee.com/FOTD/> The weather took a turn for the worse here at Fractal Central today, as a series of severe thunder-storms moved in during the morning and dropped 3.15 inches, 8cm, of rain by noon. During the storm an apartment building was struck by lightning and set afire. The temperature hung around 61F 16C most all day. Luckily, the fractal sump pump did its job and we had nothing worse than a couple puddles on the basement floor. The fractal cat, who doesn't like thunder, became uneasy until the noise stopped. The next FOTD will be posted in a reasonable time. Until reason prevails, take care, and presidential assassins are buried in the U.S. with no fuss; the Oklahoma City bomber, who killed well over one-hundred, was buried in the U.S. with no fuss; the Newtown school shooter, who killed 20 children was buried in the U.S. without a fuss. Why then is there so much silly fuss finding a place to bury the Boston bomber, who killed only four people? If we claim it is because he used a weapon of 'mass destruction', then shouldn't the automatic gun used by the Newtown shooter and the bomb used by the Oklahoma City bomber also be considered weapons of mass destruction? IMO, everyone, even those we consider the most evil, deserves a proper burial! God will deal with the evil-doer. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Sinuous_Discharge { ; time=0:01:20.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=MandAutoCritInZ function=recip float=y center-mag=+84.76284793287175/+1.51704663727301/\ 119/1/-96./0 params=1.5/-1.1/0.3/-7.4/0/0/0/0 maxiter=1200 inside=0 logmap=135 periodicity=16 colors=000A60A80AA0AC0AE0AG0AI0AK0AM1AO2AQ3AS49U5A\ V6BW7CY7DZ8E`9Ea9FcAGdAHeBIgCJhCJjDzzDzzEzzFzzFzzG\ z0zz0zz0zz0zz0zz0zz0zz0zz0zcicchfcgicdkcenJbrJcpJ_\ rJbsHZoGZmFXjEWhDUeCSaAQY9PV8NR7LN6JJ5IG7KH9LHBMHC\ OHEPHGQHISIUUIUUKcccccczzzzzzzzzzzzzzz00000000000K\ 00K00KilKjmKhlJglJfkJdkJbjJajJ`iJ_iJZiJYhJXhIWgIUg\ ITfISfIRfIPeIOeINdIMdIKcIJcHIbHHbHFbHEaHDaHC`HA`H9\ _H8_H7_H8YI8XI8VJ8UJ9TK9RK9QK9PLANLAMMALMAJMBINBHN\ BFOBEOCDPCBPCAPC9QD7QD6RD5RD3RE2SE1SE0TE0TE0TF0SG0\ RG0QH0PH0PI0OI0NJ0MJ1MK1LK2KL2JL2IM3IM3HN3GN4FO4FO\ 5EP5DP5CQ6BQ6BR6AR79S78S78Q89P9AOABNBBMCCLDDJEEIFE\ HGFGHGFIHEJHCKIBLJAMK9NK8OL7PM6QM7PO7OP7NR7NS7MT7L\ V7KW7KX8JZ8I_8H`8Hb8Gc8Fd8Ff8Eg8Dh9Cj9Dk9Gl9Jn9Mo9\ Pp9Sr9Vs9YtD`iGcZKfPNiEQl4So6Tr7Vr8Wr9YrBZrC`rDarE\ brFdrHerIgrJtrWhrKjrMkrNlrOnrPorQqrSrrTtrUurVzzLzz\ NzzOzzQzzRzzSzzUzzVzzKzzF } 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 07-05-13 (Busy-Body [8])
by Jim Muth 08 May '13

08 May '13

FOTD -- May 07, 2013 (Rating 8) Fractal visionaries and enthusiasts: Today's image has some very unlikely parameters, which is a sign that I was led to the parent fractal by the Fractint evolver feature. But regardless of where the image came from, it still rates an 8, which has been the standard for the past several days. The parent combines 2.475 negative parts of Z^(-1.05) with 0.275 negative parts of Z^(-5.5) then adds (1/C) on each iteration. This parent is a huge Mandeloid with a circular main bay edged by several large buds and a series of rings. Today's scene lies in a filament leading to a degenerate ring on the eastern edge of the large circular bay. The rating of an 8 is perhaps a bit more than the image deserves, but then again, perhaps I'm a bit too humble. The name "Busy Body" refers to the clutter of detail filling the frame. The calculation time of 12 minutes is slow. It's at times like this that the web sites come in handy however. The finished image is posted at: <http://www.crosscanpuzzles.com/Archives.html> with hi-def variations at: <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> The back images are online at: <http://www.Nahee.com/FOTD/> The weather was near perfect all day today here at Fractal Central. The fractal cat enjoyed it, as did the fractal humans. The next FOTD will be posted well before the world disintegrates into a de-sitter soup. Until whenever, take care, and maybe I'm a Boltzmann brain inside a larger Boltzmann brain, and it's Boltzmann brains all the way up. BTW, when will these fascinat- ing hypothetical creatures be mentioned on one of the pop-science TV shows? Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Busy-Body { ; time=0:12:00.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=MandAutoCritInZ function=recip passes=1 center-mag=-3.216611489264434/+0.5748460602506155/\ 2.249254e+012/1/49/0 params=-2.475/-1.05/-0.275/\ -5.5/0/0/0/0 float=y maxiter=12000 inside=0 periodicity=6 mathtolerance=0.05/1 colors=000zzzzzzxzztzzpzwlzthxsdwq`vqXtqTsqPqqMpqI\ opFmpBlo8jo7io5ho7fo8eoAeoCdoFdoHcoJaoMaoN`oP_oS_o\ VYoXXo_XoaWocWo`Vm_TlYSjXSiWQhVPfTPeQOdPNcONaNI`ML\ _LGYJ8XHFWG2VFCTD2SCAOB2PA2M92N521825A88D9DGAJMBPP\ DWVFaXFhaGoeGvhHzjHzoIzsIzwIzzIzzIzmAxf9q`8iV7cO5W\ I3PD2I91C50500000000000000000100200500500800900A00\ C00D00G00H00I20J85LD9MJDMPINWNOzSPzWPvVOoVOoXShYVa\ _XWa`JccGde3NB3OC3PC2PD2QD2oFozF2eF3aG5YH5aH5YI5NJ\ 7MJ7LL8GM9BM07N02O00O0020020Do0020Pa002F7oG5WG5oF5\ VDPzC5VC7oB7VAPz98T98o88T7Pz59T59o57N55o55o53o52o5\ 10500800A01C05F08H0BJ0FM0IO0MQ0PT0TW0XY0``0da0h`0f\ _0eY0dX0cX2aW5`V7_T8_dMNeQQfWVh`Yfa_ec`da_c`Y`_X_Y\ WYXVWWTVTSTSQQQPPPOOONNNMLMLJLJIIIGHHFGGDFFBDDACC9\ BB8AAACCCFDFGGGIHIJILMLMNMOPNQSPSTQVWSXXV__W``Xcc_\ ee`ffaiidmlfppitsmxwpzzzzzzzzzzzzzzzvzzvzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzz } frm:MandAutoCritInZ {; Jim Muth a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=1/f, h=1/d, j=1/(f-b), z=(((-a*b*g*h)^j)+(p4)), k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel): z=k*((a*(z^b))+(d*(z^f)))+c, |z| < l } END PARAMETER FILE=========================================

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