- Fractint - mailman.xmission.com

number sign
by Sebastien Helie 29 Jul '12

29 Jul '12

maby it's to join with the burning ship, but i do not know, here happen a number sign in thru the development -- most attached file or result are positively balance at :https://sites.google.com/site/sinpix12823fractal/ start parameter file===================================== number_sign { ; 28_08_2012 ; to avoide orgie of number reset=2004 type=formula formulafile=2012_6.frm formulaname=tank center-mag=+0.55762232554998700/+0.24789918291791220/4.549602e+009 params=1/1/0/0 float=y inside=0 colors=00000e0e00eee00e0eeL0eeeLLLLLzLzLLzzzLLzLzzzLzzz000555<3>HHHKKKOO\ O<3>ccchhhmmmssszzz00z<3>z0z<2>z0G<6>Y09U08Q07<3>903<8>40Q40T30V<3>00e<8\ >`Xle`midm<3>zsq<3>zolznkzmjzlh<2>zzh<8>zVIzRFzNC<3>z80<8>zc0zg0zk0<2>zv\ 0zz0xw0<2>qn3ok4oh4<7>uK2vG2wD2<2>y41z00x11<7>eBFcDHaEJ<3>SKQSKOSKMSKK<2\ >SQKSSKQSKOSKMSKKSK<2>KSQKSSKQSKOSKMS00G<3>G0G<3>G00<3>GG0<3>0G0<3>0GG<2\ >04G88G<2>E8GG8GG8EG8CG8AG88<2>GE8GG8EG8CG8AG88G8<2>8GE8GG8EG8CG8AGBBG<2\ >FBGGBGGBFGBDGBCGBB<2>GFBGGBFGBDGBCGBBGB<2>BGFBGGBFGBDGBCG000<6>000 } frm:tank{;sinpix a=real(p1),b=imag(p1) z=p2/0.707106,c=pixel: t=sin(z)^2+c q=1/t s=t^q z=z^2+s*c |z|<1974 } end parameter file==========================================

1 0

FOTD 28-07-12 (Gloomy Depression [7])
by Jim Muth 28 Jul '12

28 Jul '12

FOTD -- July 28, 2012 (Rating 7) Fractal visionaries and enthusiasts: Today's image shows an order-21 minibrot lying serenely on a filament extending from the northeast shore line of the large bud on the north shore of the main bay of the oversized parent Mandelbrot set, which is corrupted in its depths by Z^(21) energies. In the image we see that the expected quadratic pattern of filaments prevails right up to the edge of the minibrot itself, where all hell breaks loose. Some interesting convolutions exist in this cross-over area, but unfortunately, the image lies at the limit of resolution of the DOS version of Fractint. The name "Gloomy Depression" is a redundant statement inspired by the dark gloomy color palette. The rating of a 7 indicates that I consider the entire day's fractal effort merely average. The calculation time of 3-1/2 minutes is a rather long time to wait to see the depressing image, but the web sites can cut the wait drastically. Enjoy the fractal non-glories for free on the FOTD web site at: <http://www.crosscanpuzzles.com/Archives.html> Enjoy a high-definition version at: <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> Enjoy all the back images, some quite cheerful, at: <http://www.Nahee.com/FOTD/> But be aware that there are thousands of back images, and that enjoying all of them will take quite a bit of time. Typical midsummer weather, with a temperature of 86F 30C and high humidity, made today a pleasant one here at Fractal Cen- tral. The fractal cats were more worried about the arrangement of their collapsible cubes than the outside conditions. Due to the possibility of rain, the humans postponed their regular Saturday antiquing expedition. The next FOTD will be posted soon. Check your dictionary for the precise definition of the word 'soon'. Until whenever, take care, and maybe we should sue the churches for the damages done in natural disasters. After all, these disasters are known as acts of God, and the churches are God's representatives on earth. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Gloomy_Depression { ; time=0:03:30.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=MultiExp function=recip maxiter=4500 center-mag=-0.8625086351624757/+78.39831338478589/\ 1.8263e+011/1/-24/0 params=21/100 float=y inside=0 logmap=-703 periodicity=6 mathtolerance=0.05/1 colors=00000Q00Q00Q00P00O00N00M00L00K00J00I00H00G0\ 0F00E00D00C00B00A00800700600500300200144033022z22z\ 11z00zEzsDvoCrlBnhAje9fa8bZ7ZV7VS6RO5NL4JH3FE2BA17\ 7033FpwDjpBdiAZc8TX6NQ5HK3BD1563m_2XO1GC2u_1pX1kU1\ fR1aO1XL1TI0OF0JC0E9096043HcSFZODVLBQI9MF7HC5D9386\ 143o9jk8fg7bc6__6WW5SS4PO4LK3IG2EC2A817403pc_l`XhY\ UdVS`SPYPNUMKQKIMHFIECFBAB87755322nmhgfba`XVVSPPMJ\ IGCCB665oWejTaeQY`NUXKQSHMNEJIBFE8B957423ANn8Kh7Hb\ 6FY5CS4AM37H25B1258dH6YE5RB4K82D5162Ln_EYO7HCMdkBK\ OHWsBL`5AI_afIJL3nM2jK2gJ2dH2aG2ZF1VD1SC1PB1M91J80\ F60C5094062031Tz7Oq6Kh5G_4CR38I2491KEzIDzHCzGBzFAz\ D9zzzRzzOzzMzzJzzGzzzzzzzzzzzzzzzUzBRzAPz9Jz5Lz4Mz\ 2Oz1Pz0Oz1Nz1Mz1Lz1Kz1Lz4Lz6Lz8LzzLzzLzzLzzLzzLzzL\ zzLzzLzzLzzLzzLzzLzzJzzIzzHzzFzzEzzCzzBzz9zz8zz7zz\ 5zz4zz2zz1zz0zzTzzJzz9zzpz8hz6`z5Uz4Mz3Fz27z1uzPfz\ ITzCEz6kzXezS_zOUzKOzGIzC } frm:MultiExp { ; Jim Muth z=(0,0), c=pixel, a=-(real(p1)-2), b=imag(p1)+0.00000000000000000001: z=z*z*fn1(z^(a)+b)+c |z| < 100000000 } END PARAMETER FILE=========================================

1 0

Octic C
by Mike Frazier 28 Jul '12

28 Jul '12

I finished the new 3D model code for Fracton and now I will have more time to post. I did lots of test models while working on the code and I will post some of the better ones. It usually takes me several days to generate a high resolution model and build the web page so I plan to post only about once or twice per week. This fractal is called Octic_C. It is a z^8 mandelbrot that I used for some deep zooming experiments back when I was working on Fracton's arbitrary precision math for formulas. This fractal has very thin arms that are a challenge to turn into a 3D model. I was going to try to make this a "perfect" model that faithfully followed the fractal but it proved to be too complex for that to be practical. This model accurately follows the fractal iteration bands at the first few iterations but then the arms get too thin to follow. I could have increased the resolution, but the time to generate the model goes up tremendously at higher resolutions. Even with these settings, the model took 93 hours to generate on my old 2.0 GHz 2 core Power PC Mac Pro that I use for really long jobs. The 2D image draws in less than 1 second on the same computer so you can see the extra work that goes into making the model. The model has 1.2 million vertices and 1.8 million faces. The 3D image was rendered in Cheetah 3D. Here is a link to a web page with an image: http://www.fracton.org/fmlposts/octic_c.html I will also list the PAR file here for people collecting them from the mail list: Octic_C { ; Exported from Fracton. reset=2004 type=formula formulafile=fracton.frm formulaname=F_20120728_0913 passes=1 float=y center-mag=0.2456830297488648/1.076407684405086/25\ 4313154220.581/1/10/0 params=0/0/0/0/0/0/0/0/0/0 maxiter=100 inside=0 proximity=0 colors=000zzzpzzezzWzzLzzBzz0zz0tt0mm0ff0__0TT0MM0\ FF0880BE0FL0JS0NZ0Re0Vl0Zs0bz6dzDgzKizRlzYozdqzktz\ rwzlrzelzZgzSazLWzERz7Lz0Fy0Es0Cl0Be09Z07T06M04F02\ 812E22L32S41Z51e61l71s80zE6zKDzQKzWRzaYzgdzmkzsrzp\ lzmezjZzfSycLy`EyY7yU0xR0rO0kL0eH0ZE0SB0M80F408A0E\ G0LM0RS0YY0dc0ji0qp0xq6xrDxsKxtRxuYxvdxwkxxryxlwxe\ uxZsxSqxLoxEmx7kw0hp0ch0Ya0TU0NN0HF0C806806E08L0AR\ 0CY0Ec0Gj0Ip0Kw0Mw7RwFWxN`xVexbjyjoyrtyrtylmyefxZ_\ xSTxLMwEFw78v00o00h00`00U00N00F00800800E20K50R70XA\ 0bC0iF0oH0vK0vP7wUFw_NxdVxibyojytrytryslxqexoZwmSw\ kLviEvg7ue0n`0gW0`R0TL0MG0FB0860860DC0JJ0OP0UW0Za0\ dh0in0ou0pu7qvFsvNtwVuxbwxjxyrxyruylqxemxZiwSevLav\ EYu7Ut0Rm0Nf0J_0FT0CM08F04804804E05K05Q06W06a07g07\ m08s0Es7LtFSuNZvVewblxjsyrsyrlymexhZwbSvYLvTEuN7tI\ 0sC0lB0e90Z80S60L50E30720720D50J90PD0VH0`L0fP0lT0r\ X7s_FtcNugVvkbwnjxrryvryv } frm:F_20120728_0913 { z=pixel: zz=z*z, zz=zz*zz, z=zz*zz+pixel, |z|<=4 } -- Mike Frazier www.fracton.org

1 0

FOTD 27-07-12 (Fractal Chakra [7])
by Jim Muth 27 Jul '12

27 Jul '12

FOTD -- July 27, 2012 (Rating 7) Fractal visionaries and enthusiasts: Rather than taking us to the main spike, today's image takes us to the East Valley of the (-Z)^(2.15)+C Mandeloid, into an area populated by the typical East Valley elephants, where deep in an elephant's trunk, we find today's scene. The name "Fractal Chakra" came about when the image reminded me of one of the spinning chakras that in some traditions exist in a non-physical part of the human body. In a scientific sense, chakras do not exist at all, but strangely enough, even after thousands of years, those who believe in chakras have yet to realize that they are concerning themselves with nothing more than a traditional myth. Someone should enlighten them. (It will not be me however. I kind of suspect that chakras are very real.) The rating of a 7 is totally average. If I had done a bit more work on the colors, I might have raised the rating another half point. The minibrot at the center is of the 2.15 variety, still basically a quadratic minibrot, but with the distortions already obvious. The calculation time of 40 seconds is conveniently brief; the web sites can make it even briefer. Eliminate all calculation at the FOTD web site, which is at: <http://www.crosscanpuzzles.com/Archives.html> Eliminate calculation and enjoy high definition at: <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> The FOTD back images are held on file at: <http://www.Nahee.com/FOTD/> After post time yesterday a very noisy thunder-storm moved in. When lightning struck a pole only 30 meters away, Cassie dashed down the hallway and ducked under the bed for cover. Nicholas dashed down the hallway with her, but soon found his courage and returned to his window shelf. Today brought lots of clouds and continuing humidity, with a temperature of 88F 31C. As of post time, no rain had fallen. The fractal cats took it easy through most of today, though Nicholas got frisky when he got into a bit too much catnip. The humans passed the day doing human things, mostly connected with work. The next FOTD will be posted when the time between now and then has passed. Until whenever, take care, and have a peaceful interval between FOTD's. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Fractal_Chakra { ; time=0:00:40.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=SliceJulibrot5 center-mag=+0.270686782\ 7674707/-0.1229140457964359/9.212966e+009/1/-120/0 params=0/0/0/0/0/0/0/0/2.15/0 float=y maxiter=3200 inside=0 logmap=140 periodicity=6 colors=00000202404606808A0AC0CE0EG0GI0IK0KM0MO0OQ0\ QS0SU5UMAWEFYIK_MPaQUcUZeYcgahidmkhpmmonnnmmkljhkg\ eihahjYgkUemQdnMcoN_mNXkNUiNRgNOeOKcOHaOE_OBYO8WO5\ UYCRgJPqQMzXKsMPpBUl0Yi4_d7`_AaYDcVGdTJeQMfOQhLTiJ\ WjGZkEamBdn9go7jpBenF`mJWlMRkQMiUHhXCgU8fR9cO9aLA_\ HAYDAVCBTBBRABP6lgBidGgaLd_QbXV`VUbXTcYSdZRecQfhPg\ mOhrNjvMkzLlzKmzJrzIvzIzzKjjLdjNZkOTkQOlRIlTCmU6mV\ 1mW9hXHdYO`ZWW_cS`jOYhPWfQTdRRbSP`TMZUKXVHVWFTXDSY\ LVVTYT``QhcOe`QbYR`WSYTTWQUTOVRLWOIXMGYLJaKMdKPgJS\ jIVmIXpGVoFToERoDQoCOoBMnAKn9Jn8Hn7Fn6En5Ii5Md5Q_5\ UW5YR5aM5eH5hD4eI4bM4_Q4YU4VZ4Sb4Pf4Uj7UkAUlDUmGUn\ JUoMUoPUpSUqVUrYUs`UscctfcuicvlcwomwfmmYmdQmWHmM8m\ D0u44v77w9BxBEyDIzFLzHPzKSzMWzOZzzbzzezzazzZzzWzzT\ zzQzzNzzJzzGzzDzzAzz7zz4zz6zz8zIAzHCzGEzFFzFTz`ezu\ bzv_zwXzxVzxRzyNzyJzyFzyBzy7zy4zyLztazoqzjkzhfzg`z\ eWzdazYfzRlzKqzE5zb6z`6zZ } frm:SliceJulibrot5 {; 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), esc=imag(p5)+9 c=p+flip(q)+p3, z=r+flip(s)+p4: z=(-z)^(real(p5))+c |z|< esc } END PARAMETER FILE=========================================

1 0

FOTD 26-07-12 (A negative Attitude [8])
by Jim Muth 26 Jul '12

26 Jul '12

FOTD -- July 26, 2012 (Rating 8) Fractal visionaries and enthusiasts: Today's image lies in the same area of the same split minibrot as yesterday's image. But instead of Z^(2.003)+C, today's generating expression is (-Z)^(2.003)+C. Both parent fractals are identical on the surface, but the inner details, especially along the negative X-axis, though similar, are decidedly different. The color palette was created by the Fractint program with a single stroke of the <enter> key. I did slightly tweak a few registers, but the colors are almost totally computer generated. The name "A Negative Attitude" came about because in today's image it is negative (Z) that is iterated. FL also gets a bit of credit for the name, since she thinks my attitude toward life is too negative. (I consider my sometimes-negative attitude to be realistic in a sometimes-negative world.) Today's rating of an 8 is once again above average. IMO, the unusually rich field of colors makes the image worth its rating. The calculation time of 2 minutes borders on slowness, but once the top of the frame is finished and the rich colors appear, the eagerness to see the entire image will outweigh any restlessness. All restlessness may be avoided by viewing the finished image at: <http://www.crosscanpuzzles.com/Archives.html> The high-definition rendering is available at: <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> The back images are online at: <http://www.Nahee.com/FOTD/> Heat and humidity returned to Fractal Central today, with a temperature of 91F 33C, humidity to match and the ever-present threat of thunder-storms. The fractal cats spent the day keeping cool. The humans, always cool, passed the day doing routine work. The next FOTD will be posted within a reasonable time. To discover what a reasonable time might be, check back here in about 24 hours. Until whenever, take care, and I am in favor of positive thinking, but not when it is carried to the point of self-deception or denial. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= A_NegativeAttitude { ; time=0:02:00.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=SliceJulibrot5 passes=1 periodicity=6 center-mag=-1.621624019017873/+0.000000017744904\ 36/3.182439e+009/1/-122.5/0 params=0/0/0/0/0/0/0/0\ /2.003/0 float=y maxiter=1500 inside=255 logmap=245 colors=000dG8`F7XD6UC6QA5M94I73F63B42731310p_mlXih\ VfeScaQ_ZOXVLUSJQOGNLEKHCGE9DA7A7463231w80s70p70m6\ 0j60g50d50`50Y40V40S30P30M20I20F20C1091060030b_p`Y\ mZWjXUhVSeTRbRP`PNYNLVLJTJIQHGNFELDCIBAF99D77AmU7g\ S5dQ2aO0ZM0WK0SH0OF0KC0GA0C70850420o9iY6UH3Fhq7en6\ ck6ah5_f5Xc5V`4TZ4RW4OT3MR3KO3IL2FI2DG2BD19A168145\ 0220YzhWveUscSo`QlZOhWMeUKaRIZPHVMFSKDOHBLF9HC7EA5\ A7375132xUWtSUpQSmOQiMOfLMbJKZHIWFGSEFPCDLABH89E77\ A5573331163h52e52c52a42_42Y42W42U31R31P31N21L21J21\ H21F10C10A108006004002HKHGJGFIFEHEEGEDFDCECBDBBDBA\ CA9B98A8898787676565565454343232222111000aLHaJIbII\ cIKcIMcHNhHPmHRzHSmHUcHVUGXKGUAGK0GK0GK0FK0FK0FK0F\ K0FK0FKVLaIQS5VI4TG4RF4PE3ND3LC3JB2HA2F92D71B61951\ 74053032MMJ011G3_E2WC2SA2O81K71G51C308104dAaZAXUAS\ PANKAJFAEAA95A4I5zG4sE3lC3eA2Z82S61L41E207JAvGAoEA\ hCAbAAW8AQ6AJ4AD2A6lAAzzz } frm:SliceJulibrot5 {; 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), esc=imag(p5)+9 c=p+flip(q)+p3, z=r+flip(s)+p4: z=(-z)^(real(p5))+c |z|< esc } END PARAMETER FILE=========================================

1 0

FOTD 25-07-12 (Web of Antiquity [8])
by Jim Muth 26 Jul '12

26 Jul '12

FOTD -- July 25, 2012 (Rating 8) Fractal visionaries and enthusiasts: Today's discussion is brief. The reason is the best one possible -- I don't feel like writing. The fractal brings another scene in the Z^(2.003)+C Mandeloid. The location is in the fractured main stem, very near the X-axis, just east of the largest minibrot to the east of the large minibrot. The rating of an 8 might be a bit liberal. I'm not sure the 2 minutes I spent tweaking the colors brought that much of an improvement. The name "Web of Antiquity" soulds poetic, but has little to do with the image. The calculation time of 40 seconds makes the unusually brilliant image a real bargain, but the web sites eliminate all concerns about time. The finished image is at: <http://www.crosscanpuzzles.com/Archives.html> A high-definition rendering is at: <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> The back images are at: <http://www.Nahee.com/FOTD/> Today brought the best possible weather for outdoor activity to Fractal Central. The temperature of 82F 28C was perfect, the low humidity was perfect, the cloudless blue sky was perfect, and the gentle breezes were perfect. The fractal cats were perfectly behaved also, but the same cannot be said of the humans, who always have some obscure philosophical point to disagree on. The next FOTD will be posted in the proper time. Until whenever, take care, and I just checked the burning ship fractal. It was still ablaze yesterday, but I think it sank. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Web_of_Antiquity { ; time=0:00:40.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=SliceJulibrot4 center-mag=-1.620544817\ 386523/+0.00000050654561927/1.398348e+008/1/-17.5/0 params=0/0/0/0/0/0/0/0/2.003/0 float=y maxiter=1500 inside=0 logmap=82 periodicity=6 colors=222225225414524825B36E46H57M68Q7AW8C_AH`FJc\ HNfLRhUWncasnVuwzokGqeGoZGnVFlSFlOFkKFjHEnFFmGHW8C\ 52A22511621893GG6PPBZYFjfInmKrhWTfhEjeEkbFlYFoWGqT\ GrRHn_Rjgamoofli_jbRgXKfSH`REWPBSPAOO7JN6HO5DO5AOA\ CNFEMKELQGMZINgKOoNPdQSWSVQQTMWXGcaBheDojEvnBhkBYj\ FRjLMiOEiUAiZAiS8`N6TIAOEEHBHE8NAZDMK6PB7WA5N93EA3\ 7B36B36B36B37F49K5BO6ET7GY8JcAMhBOnCQ`CNOKOJQNCaOK\ ZRTYWYY_jdfvfitebtcVtdPtcIteHtfHtgHWTBDH72968C6KHD\ WOOkXZdNXZFYWAaTAfUkd55M66QAATJIXRQ`_YdfeilloWWZEE\ M22B22A32A72AA3AE3AJ5BM5BQ6CW8D`9EfAFkCHoDIdDKUFML\ INHKRANW8Q`8QaARcDSdFSfIUgLViOWjRWjTZkX_m_andcoeeq\ gerietketgboe_maWi_VfYScVOZTNXQKTOHRNGPLDMKBKJAIHA\ HHAHGBGGBGGBGFCGFCGFCGEDGEDGEDGCCFDDGAEH9GH7HI6JJ5\ LJ5ML6NM6OMHHKgJQcJPZJNWIMSJMOIKLHIHGGFFGDGFBGE8HD\ 6JC5JB5KB5KB5MF6NJ6ON6QS7RWATaDWgFYnH_tJXrLVrNSrOR\ rQPqRMqSIqTGqTCoVCoXCoI`C } 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), esc=imag(p5)+9 c=p+flip(q)+p3, z=r+flip(s)+p4: z=z^(real(p5))+c |z|< esc } END PARAMETER FILE=========================================

1 0

FOTD 24-07-12 (Wrecked Rectangle [8])
by Jim Muth 24 Jul '12

24 Jul '12

FOTD -- July 24, 2012 (Rating 8) Fractal visionaries and enthusiasts: Today's image gives an unexpected view of one of those strange rectangles in certain areas and at certain orientations of the Z^(2.003)+C Julibrot. It shows that these figures are not really rectangles at all. To create the distortion, I first found a minibrot very close to the X-axis of the Mandelbrot plane, with rectangles in its surrounding pattern. Then I calculated the Julia set of this Mandelbrot rectangle. Surprisingly, the Julia set of the rectangle is a concave octagon. To produce the effect of two pentagons connected by a narrow thread, I double rotated the orientation of the slice 0.0021 degrees from the true Julia direction, which is the point where the octagon is ready to split into two rectangles. The result is today's image, which I have named "Wrecked Rectangle". I rated the image at an 8, because of both the brilliant colors and the mathematical interest. The calculation time of 55 seconds will seem to pass in the blink of an eye once the strange geometric object at the center comes into view. Find the image already finished at: <http://www.crosscanpuzzles.com/Archives.html> Find high-definition variations at: <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> Find thousands of back images at: <http://www.Nahee.com/FOTD/> A typical partly cloudy midsummer day passed uneventfully here at Fractal Central. The temperature of 91F 33C was a bit on the hot side, but a refreshing breeze and relatively low humidity kept things bearable. The fractal cats spent most of the day lounging in their cat cubes; the humans spent the day attending to assorted tasks, which is true for almost every human on earth. The next FOTD will be posted in 24 hours. Until then, take care, and the dangers that the media are not reporting are likely to be more dangerous than the things they *are* reporting. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Wrecked_Rectangle { ; time=0:00:50.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=SliceJulibrot4 center-mag=+0.000023902\ 45110228/-0.00011070773475015/3164.17/1/-87.5/0 params=89.9979/0/89.9979/0/-1.74323693381586/\ 1.24151879e-007/0/0/2.003/0 float=y maxiter=360 inside=0 logmap=84 periodicity=6 colors=000GD5GB0EA0HA0HA0HA0HA0HA0HA0HB0HG0HI0HJ0H\ Q0Lc2HZ0EX0BU09T06Q04P01N00L00H00G00E00D00B0090080\ 0000600E00L09U0Le0zz0Xn0ETD0Bc00z00z01z05z09z0Gx0L\ v0Qs0Xq0en0ll0si0zg0ze0vi0in0Zs0Pv1Gz61zB0zG0zH0zJ\ 0zJNzLNzNNxNNvPgsQgqQgnTglUgiUsgXzeXzcTz`Pz`Nz`JsZ\ HgZEUZBQZ9PX6LX5HX26X00U00U00U00X00UH0TlJT`LLQLEHN\ 89N22P00P00J00E0KD0KH0K40K00K00K00K00K00U10U10U24U\ 48c5Ec5Jc9LcDNcHPmLQmQTmUTmNNmHJmBGm6Dm29z06z04z01\ z00z00z10z40z80zD0zH0zG0zG0zG0zG1zG6zGDzGJzGQzGZzG\ gzGqzGzzGzzEzzEzzDzzDxzBszBqzBnz9lz9iz8ez8cz6`z6Zz\ 6Xz5Tz5Qz5Pz5Nz5Lz5Jz4Lz5Hz6Gz8Dz9B5B84B64D42E21G1\ 1H00H00J00L00N00P00T00P09N0QL0lG0iJ0gN9eQPcUgcZz`X\ xZUvXUqUTnTQiQQgPPcNN`LNXJLUHJQGJPEHLDHJBJJBLL9PN8\ QN8TP6UQ6XQ5ZT5`U4cU4eX2gZ2iZ1n`0qc0sc0ve0xg0zg0zi\ 0zl0zl0zn0zn0zl0zl0zl0zi0zi0zi0zg0zg0zg0ze0ze1ze1z\ e1xc0gL0gJ0gH0gG0gE0zN1gD } 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), esc=imag(p5)+9 c=p+flip(q)+p3, z=r+flip(s)+p4: z=z^(real(p5))+c |z|< esc } END PARAMETER FILE=========================================

1 0

in a feild of pyramide.
by Sebastien Helie 24 Jul '12

24 Jul '12

A fractal structure who represente a pyramide in the middle of his chaos is a suprised. The result is the usual great. at the same time i taught sending you the picture of the ground of another univers. httpes://dl.dropbox.com/u/68454194/marecage1.JPG pretty area and even more lovely if your enjoying kite surfing. Anyway i walk on the mob their and it's spooky. A lake who become a tree can be easly another social realm with is own law and logic. The fractal univers is probably rule by really normal curve and geometrie don't you think?! -- most attached file or result are positively balance at :https://sites.google.com/site/sinpix12823fractal/ start parameter file===================================== the_boss_Zeist2 { ; 18_07_2012 reset=2004 type=formula formulafile=2012_6.frm formulaname=moreismore1 center-mag=+0.08342236426515570/+0.04892498062505073/4.837936e+008 params=4/10/1000/50/0/0 float=y inside=0 colors=000<13>000000000<3>000<3>C0GF0LI0PL0TP0X<8>A0E90B709<2>203000012<\ 7>19M1AP1BR1CU1DW1EZ2Ga3Id<3>2UW2XU1_R<2>0hK<3>FhVJhYNh`<8>ArR8sQ7uP<2>2\ xM0zK0vK<3>0eM<8>0qL0rL0tL<3>0zK<8>0eO0cP0aP<3>0SS<2>07SEES<3>SES<3>SEE<\ 3>SSE<3>ESE<3>ESS<2>EHSKKS<2>QKSSKSSKQSKOSKMSKK<2>SQKSSKQSKOSKMSKKSK<2>K\ SQKSSKQSKOSKMS00G<3>G0G<3>G00<3>GG0<3>0G0<3>0GG<2>04G88G<2>E8GG8GG8EG8CG\ 8AG88<2>GE8GG8EG8CG8AG88G8<2>8GE8GG8EG8CG8AGBBG<2>FBGGBGGBFGBDGBCGBB<2>G\ FBGGBFGBDGBCGBBGB<2>BGFBGGBFGBDGBCG000<6>000 } frm:moreismore1{;sinpix a=real(p1),b=imag(p1),d=real(p2^imag(p2/10)) z=p3,c=pixel: t=z^2+a*c q=t*t/3*b r=q*q/6 z=r+q-t^d |z|<1974 } end parameter file=========================

1 0

Burning Ship fractal with x-axis symmetry
by Tony Hanmer 24 Jul '12

24 Jul '12

Hi all, I've been playing with the Burning Ship fractal type in Fractint. I changed z^2 to z^3 and came up with a version which has x-axis symmetry, though it needs rotating 45 degrees. Is this the "M-set" of the Burning Ship type? Has it been found before? The whole fractal reminds me of a Klingon Bird of Pray, by the way. Tony Hanmer Tbilisi, Georgia Begin .par file BShip4 { ; 45 degrees & symmetry ; Tony Hanmer 23/7/2012 ; Fractint Version 2099 Patchlevel 8 reset=2099 type=formula formulafile=T-frms.frm ; paste the below formula (minus the "frm:") into a new *.frm file if you like, ; & remane T-frms.frm to that .frm name. formulaname=BurningShip4 passes=1 center-mag=-0.108695/0.108695/0.4303211/1/44.999999999999993 float=y maxiter=250 inside=fmod sound=off colors=000<8>KN_MPcOSg<3>Xaw<9>CawA`w8`w<3>0`w<9>HgRJhOLiK<3>Sl7<9>ks2ms\ 2ot2<2>uv0ww0wu1<8>we9wcAwaB<3>wVF<9>ybFycFydF<3>zhF<3>`ZBVWAOUA<2>5M7<5\ >Nd3Qg3Tj2<3>ew0<12>DJ0BF08C0<2>230000000<118>000 } frm:BurningShip4 { ; Tony Hanmer 23/7/2012 z = (0,0): ; x-axis symmetry at last, though at a 45-degree angle: z = abs(z) ; the "M-set" of the Burning Ship fractal? z = z * z * z - pixel ; instead of z^2, z^3. |z| < 100 } End .par file

1 1

FOTD 23-07-12 (Sieve of Integers [7])
by Jim Muth 23 Jul '12

23 Jul '12

FOTD -- July 23, 2012 (Rating 7) Fractal visionaries and enthusiasts: I have little ambition to write the discussion for today's image. All I need to say is that it is an outzoom of yesterday's image, which lies near the right edge of the curious comb-like object in today's image. I named the image "Sieve of Integers". The large object filling the frame certainly could be taken as a sieve, and integers certainly are a part of any fractal. With few good or bad points, the image rates an average 7. The brief calculation time of 45 seconds will leave no one with a feeling of disappointment if the image lays an egg. All risk of disappointment may be avoided however by viewing the finished image on the official FOTD web site at: <http://www.crosscanpuzzles.com/Archives.html> The image is available in high definition at> <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> The entire past FOTD library is online at: <http://www.Nahee.com/FOTD/> Today brought a return of the heat to Fractal Central, with lots of sun, high humidity, and an afternoon temperature of 93F 24C. The fractal cats stretched out for the afternoon in the coolest places they could find. The humans passed the day pondering human things, especially the existence of evil. FL tells me I am spreading negative energies by calling people idiots and their opinions asinine. Maybe I am. But as I see it, our culture is already overflowing with negative energies. The least I can do is recognize the rampant negativity and point it out. I'll go into more detail in an upcoming FOTD. The next FOTD will be posted when it is ready, most likely in around 24 hours. Until then, take care, and if we wish to see the ultimate cause of the latest massacre, we should turn on the TV, go to the movies, read the latest romance and action novels, play the latest video games, and listen closely to the current popular songs on the radio. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Sieve_of_Integers { ; time=0:00:45.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=SliceJulibrot4 center-mag=-0.011883267\ 34218610/+0.00442452419706781/30199.4/1/-55/-25.64\ 10058243059709 params=89/89/89/89/-1.7435/0/\ 0.000175/0.073883/2.003/0 float=y maxiter=32767 inside=0 logmap=65 periodicity=6 colors=00000B00D10F20H30J40M50P60S80VA0YC1`E2cG6fI\ 9iKDlPGmQJmRNmSQoTUnUXlV_kWciXfhYigVfcTd`QbYO`ULYR\ JWOGUKESHBPE9NA6L74J4DBRM3mQ9hUEcXKZ`PUdVPg_LhXKiV\ KiSKjQKkNKkLKlIKlGKcLPWQTOUYGZa8beAcdBdcCecDfbFgaG\ gaHh`Ii_Kj_LkZMlYNlYQmXSmXUnXWnWYoW_oWapWcpVeqVgpV\ iqUksUmuUowUpwTpwSpwRqwRqwQqwPrwOrwOzbNzaMz`Lz_LzZ\ NhcPcbRZbTUaVPaXKaZP`_T__X_`aZ`eZaiYanYbrXbvXbqWdm\ WeiWfeWgaVhYViUVjPVkLVlHUmDUn9Uo5Up1UqDOoPIn`Cm`Dn\ _Dn_DnZEnZEnYEnYEoYFoXFoXFoWFoWGpWGpVGpVGpUHp9TsUH\ qTHqTHqTIqSIqSIrRJrRJrQJrQJrQKsPKsPKsOKsOLsOLtNLtN\ LtMMtMMtLMtLNuLNuKNuKNuJOuJOvJOvIOvIPvHPvHPwGPwGQw\ GQwFQwFRxERxERxERxDSxDSyCSyCSyBTyBTyBTzATzAUz9Uz9U\ z92U93V93V93W94W94W94X95X95Y95Y96Y96Z96Z97Z97_97_9\ 8`98`98`99a99a99a9Ab9Ab9Ac9Bc9Bc9Bd9Cd9Cd9Ce9Ce9Df\ 9Df9Df9Eg9Eg9Eh9Fh9Fh9Fi9Gi9Gi9Gj9Hj9Hk9Hk9Ik9Il9I\ l9Jl9Jm9Jm9Kn9Kn9Kn9LoSDG } 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), esc=imag(p5)+9 c=p+flip(q)+p3, z=r+flip(s)+p4: z=z^(real(p5))+c |z|< esc } END PARAMETER FILE=========================================

1 0