May 2014 - Fractint - mailman.xmission.com

KrAkAtOa
by JackOfTradeZ＠comcast.net 10 May '14

10 May '14

. Jim - that's one of the best in a long while! Now trying to determine parameter spread for morph animation. Starting to look way cool; I'll put it to another Bach harpsichord tune, but this one gonna take some time ..... Good things come to those who wait. .

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FOTD 09-05-14 (Krakatoa Eruption [A-9,M-8])
by Jim Muth 09 May '14

09 May '14

FOTD -- May 09, 2014 (Rating A-9,M-8) Fractal visionaries and enthusiasts: Today's image is another of those strange and totally unpredictable things that the MandNewt formulas can produce. The formula, number 14 of the series, is a new one, so be sure to copy it into your formula file. BTW, I have no idea of what these formulas actually do. To me, the image appears to be a volcano in full eruption, complete with the underground magma still rising to the surface. I named it "Krakatoa Eruption" after the most recent super- eruption, which took place on an island between Sumatra and Java late in the 19th Century. My extra coloring effort raises the art rating to a lofty 9. The math rates an 8. If I knew exactly what is going on with the math in the image, the math could also have rated a 9. The calculation time of 2-1/2 minutes will pass in a flash as soon as the top of the fiery cloud above the erupting volcano becomes visible. This time may be cut down by checking the web sites. So be cool! Experience the fiery eruption on the web sites at: <http://www.crosscanpuzzles.com/Archives.html> <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> <http://www.Nahee.com/FOTD/> <http://user.xmission.com/~legalize/fractals/fotd/about.html> The day began mild enough, but a thick blanket of clouds spoiled the morning hours. The sun finally broke through in the afternoon, which allowed the temperature to reach a very pleasant 75F 24C. With the temperature so mild, the fractal cats were not worried about the lack of sun, and devoted their energies to getting as much food as possible. The humans had another average day. It's not very exciting but it's true. The next FOTD will be posted in a day or two, maybe three. Until whenever, take care, and whatever happened to the threat of the end of the world? Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Krakatoa_Eruption { ; time=0:02:30.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=mandnewt.frm formulaname=MandNewt14 passes=1 center-mag=-1.9804\ /0/0.3296938/1/-90/0 params=-1.214/-1.207/0.495/\ 0.018/0.246/1.438/5e-031/0 float=y maxiter=500 inside=bof60 logmap=yes periodicity=0 colors=000S4PQ4NO4MN4KL4IK4GH4FG4DF4CD4AC49A48A468\ 45744533431531631631731831931A31A31A41C41C61C71D81\ E91B41B41B41A41941841741641541541651761971C81F91JA\ 1NA1PA1RA1T91X91Y91Z91Z81Z81Z81Z81Z71Z71Z71Z71Z71Z\ 72Z62Z63Z63Z54Z54Z54_54`45a45b46c46c47c47c38c39b39\ b2Aa2Aa2Aa1Ab1Cb1Cc1Cc1Cd1De1Df0Eg0Eh0Fj0Gl0Gm0Ho0\ Hp0Ir0Is0Ku0Kv0Lx0Ly0Rz0Rz0Sz0Sz0Yz0Yz0Vz0az1Zz1Xz\ 3Rz4Qz6Oz8NzAHzAHzCFzEAxG9xI8xK7xM6xO5xQ4xT3xV2xX1\ xa1xe0xi0zm0xj0wf0vb1vY2tS4sP5qM7oP9mTCkWDiYFg_Ge`\ HcaHa`I__IYZKWWLUVLSUMQSNOQNMPOKOOIMPLLQMKQOHSPGSS\ FTTDUVCUWCVZAV_9Wa8Yc7Ye5Zg4_i4_k3`m1`o1ax0`z0az1c\ z4dz6ez8gzAhzCizFkzIlzKozLmzLlzMkzNizNhzOgzOezPdzQ\ cyQaxSawT`vT_uUZtVYsVWrWVqWUqYTpZSpZQp_Po`On`NmaMl\ cLkcKjdIidHheGggFfgEehEdiDciCbkCalA`lA`m9am8coAdpC\ epFgqIgqMesPdsTcsWct_cvcavgawkdxogzskzvmzxpzzszzvz\ zxzzzzzzzzzzzzzzzzzzzzzzz } frm:MandNewt14 {; Jim Muth z=g=pixel, a=real(p1), b=imag(p1), c=real(p2), d=imag(p2), e=real(p3), f=imag(p3): h=z^a+(g-b)*z-f j=c*z^d+g z=z-e*h/j, real(p4) <= |h| } END PARAMETER FILE=========================================

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FOTD 08-05-14 (Something is Wrong [A-6,M-9])
by Jim Muth 08 May '14

08 May '14

FOTD -- May 08, 2014 (Rating A-6,M-9) Fractal visionaries and enthusiasts: Something is indeed wrong with today's scene. This is why I have given the math a rating of 9, while the art rates only a 7 despite my extra work. The math is interesting because the minibrot at the center is clearly quadratic, while the elements in the surrounding pattern are of order-6. As an example of the strangeness, notice the 6 small spirals near the frame edges and the 36 tiny spirals at the next level inward. I have seen this phenomenon several times before, and it appears no more logical today than it did when I stumbled upon it about 12 years ago. But such counter-intuitive things in fractal math are what makes fractals so much fun and has kept me fascinated for over 25 years. By comparison, those who approach fractals with a 'look ma I'm an artist' attitude all too often quickly lose interest. The parent fractal came about when I subtracted 0.35 part of Z^(4) from Z^(3) and added straight C on each iteration. This parent resembles a Mandelbrot set rotated 180 degrees, with large open bays at the end of every filament. The largest bay of all lies at the eastern tip of the main spike. This bay has a large but unstable valley intruding into it, which is very sensitive to changes in the real(p2) parameter. Today's scene lies in this valley, very close to the X-axis. The calculation time of 3 minutes is well within reason, but the viewing can be made even easier by checking the finished image on the web sites. Enjoy life to the fullest. Avoid the calculation hassle by viewing the finished image on the FOTD web sites at: <http://www.crosscanpuzzles.com/Archives.html> <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> <http://www.Nahee.com/FOTD/> <http://user.xmission.com/~legalize/fractals/fotd/about.html> The weather was rather pleasant here at Fractal Central today, with partly cloudy skies, gentle winds and a temperature of 75F 24C. The fractal cats passed the time watching the birds in the yard, while the humans took care of the business department. The next FOTD fractal, for better or worse, will be posted in the near future. Until then, take care, and some of yesterday's supernatural nonsense has become today's scientific wonders. I wonder how much of today's supernatural nonsense will become tomorrow's scientific wonders. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Something_is_Wrong { ; time=0:03:00.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=allinone.frm formulaname=MandAutoCritInZ function=ident passes=1 center-mag=+0.4473682468658692/-0.0008456880636021\ /2e+007/1/-22/0 params=1/3/-0.35/4/0/0/0/0 float=y maxiter=2600 inside=0 logmap=160 periodicity=6 colors=000DqjDqiDqhGqgJqfMqePpdRpcUpaXo__oYanWejVh\ gUkcTn`SmZQlXOkWNkULjSJiRIhPGhOFgMDfKBeJAeH8dF6cE5\ bH3bK2ZO1WS1TW1PZ1Ma1Jc0Ge0Cg09i06k03m0Ao4Gq7MsASu\ D`wHgxKkyNmzQnvVosZppbpmfqljslnulnznnxmmvllukksjkq\ ijpiinhhlghkfgiefhefebdb`b_Z`WW_SUYOPVKMSGJPDGMBEJ\ 9CG7BD6AC79C78D87C86B85A94A93AA2AA1AA0AB69B58B57E7\ 6H85K95SL3ZW1YW6YWBXWGXWKWWPWWUVWYVWbUWgUWkTUhTTfT\ SdSQaSP_SOYSNWRLTRKRRJPQHMQGKQFIQEGTGLWIQYKV`M_bOc\ eQhgSmjUrlVvmXtmZsm`rmbqmdpmfomhnnimnklnmknojnqins\ hnugnvfiq_dmU_hOVdIQ_CLW6HS0MR7QQDVQJZPPcPWgOalOgp\ NmtNsuPquRpvTnvVmwXkwZjx`hxbgxcfr`dlYcfWb`TaVX`PO_\ OMVOLRNJNNBIMGEMFAOJCPNER7GSUITXJV`LWdNYgPZkR_nSi`\ erOspXqndombpm`qm_qmYrmWrmVsmTsmStmTtmUumVumWvmXvm\ YumZum_pmakmcmreowgqziszkuzmwzozzqzzszzuzzwzzxzzyz\ zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\ 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, esc=imag(p3)+100, c=fn1(pixel): z=k*((a*(z^b))+(d*(z^f)))+c, |z| < esc } END PARAMETER FILE=========================================

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FOTD 07-05-14 (The Shadow of Doom [A-6,M-8])
by Jim Muth 08 May '14

08 May '14

FOTD -- May 07, 2014 (Rating A-6,M-8) Fractal visionaries and enthusiasts: Today's image shows a minibrot being devoured by a dark shadow encroaching from the right. Shocked by this scene, I named the image "The Shadow of Doom". Actually, the shadow is the advancing edge of a kind of cutoff point set by the ridiculously large value of the imag(p3) parameter, which determines the escape radius. The parent fractal combines 10 negative parts of Z^(-1.1) with one part of Z^(-11) before adding (1/C) on each iteration. This combination produces a very common type of parent fractal, consisting of a north-south string of large bays with a prominent 'fan' extending east from the origin. Today's scene lies well east of this fan, in an area that has been opened up by the immense escape radius. The art rating of a 6 implies that the image is less than totally awesome. The math rating of an 8 shows that encroaching escape radii are rather unusual. The calculation time of 2-1/3 minutes will pass, take my word for it. It will pass even faster when the finished image is viewed on the web sites. The pre-calculated image is posted online at: <http://www.crosscanpuzzles.com/Archives.html> <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> <http://www.Nahee.com/FOTD/> <http://user.xmission.com/~legalize/fractals/fotd/about.html> Clouds moved in during the morning and thickened during the afternoon here at Fractal Central today. The rain arrived in the evening, adding to the fractal cats' annoyance with the temperature of 64F 18C. The fractal humans found their annoyance in the work that refused to co-operate. The next FOTD will be posted in the near future. Until whenever, most likely 24 hours, take care, and some scientists laugh at the supernatural beliefs of their more religious comrades, while speaking things that appear far more supernatural than any religious doctrine. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= The_Shadow_of_Doom { ; time=0:02:20.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basic.frm formulaname=MandAutoCritInZ function=recip passes=1 center-mag=+6.150456348458247/+0.00268274080360025\ /9.387e+010/1/172/0 params=-10/-1.1/-1/-11/0/2.26\ 9668213942e+017/0/0 float=y maxiter=1000 inside=0 logmap=140 periodicity=6 mathtolerance=0.05/1 colors=000Ns`AzaAqbChcAzd5neAze3mb3m`4mZ4mX5lV5lT5\ lQ6lO6kM7kK7kIAkG6fC5b94Z54V23X63Y93ZD3_G2`K2aN2bR\ 2cUopsljqjeog_meVkcPi`KgYEeW9cU4bS5_R5YQ6VO6TN6QM7\ OL7LJ7JI8GH8EG8CH6MI4VJ2dK0mL5iM9eMDaNHYOMUOQQPUMQ\ YIpbERfASjzSn2mj4Xg6_c7a`9dXAfUCiQEkNFnJHpGIsCKu9L\ iKKZUKOdKDnKCkMCiNCfOCdPBaRB_SBXTBVUASWAQXANYALZ9I\ `9Ga9Db9BcBJeDQfFYgHdiJljKskLreLq_MpUMpPNoJNnDOm7O\ m2LnAIoHFpPCpW9qc6rj3rq5np6ko8ho9enAbnC_mDXlFUlGRk\ HOkJLjKIiMFiNChO9hNAgNAfNAfNAeNAeMAdMAdMAcMAbMAbLA\ aLAaLA`LA`LA_LA_OBXQCVSDSVEQXEOZFL`GJcHHeIEgICjJAl\ K7nL5pL3jKMdJc`FfYCiU9lR6oO3rO9mOEiOKeOP`OVXO_TOdP\ PeOPeNPfNPfMQfMQgLQgLQgKQhJRhJRhIRiIRiHRiHPfLOcON`\ SLYWKWZJTbHQfGNjFKmDHqCEuBCx9Tg7iS6cC7c8Uc4Uc0UUFU\ UKUUPUUTUUYUUaZUk_Ud`UYaURbUKcUMcUOcUQcUScUUcUWZcY\ acZec`hcbkcdnmfqmhtmjwmlzmmvzlmzfpzjmziizhhzggzffz\ fdzeczzazc_zbXzaVz`Tz_zz_ } 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, esc=imag(p3)+100, c=fn1(pixel): z=k*((a*(z^b))+(d*(z^f)))+c, |z| < esc } END PARAMETER FILE=========================================

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Thank you
by Barry Smith 07 May '14

07 May '14

Back on 10 March I made a rare posting to this list. I was primarily responding to the query from Tim Wegner about the platform, graphics, and monitor that people use. I said that I am a lurker and I have been subscribed to the Fractint list since 1991, and have followed it closely ever since. I did say to Albrecht that I greatly enjoy his fractals, as I have for more than twenty years those from Jim Muth. I also passed my thanks to the Stone Soup group. My message sparked some correspondence off the list with Hal Lane, mostly about things other than fractals. In turn this prompts me to say a BIG THANK YOU to The Stone Soup Group, and those like Tim Wegner who are still working away Others like Richard who have built new software All those like Jim Muth, Paul Lee and Hal Lane who have discovered fractals, enhanced them, and maintained great web sites, and now of course Albrecht People like Jack of Iradez who have posted animations (I especially like those with baroque music) ... and the rest of the Fractint community. THANK YOU *Barry W Smith* 7 Gidabal Street, Aranda ACT 2614, Australia Tel +61 2 6251 2119 e-mail barrys(a)grapevine.net.au

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FOTD 06-05-14 (Surprisingly Simple [A-7,M-6])
by Jim Muth 06 May '14

06 May '14

FOTD -- May 06, 2014 (Rating A-7,M-6) Fractal visionaries and enthusiasts: Today's colorful image is named "Surprisingly Simple". The name refers to the surprisingly simple formula behind the image, Z^2+C, which creates our old friend the Mandelbrot set, perhaps the greatest fractal of all, yet the one that never fails to reveal a surprise every time I venture there. Today's scene is located in the largest valley inside the large period-5 bud on the northwest shore line of the main bay. Perhaps the most surprising thing about the image is the way the resolution has held up while using conventional math even at the extreme magnitude of over 10^13. Of course, rendering the image using arbitrary precision math will produce marginally better resolution, but the calculation time will be in the hours instead of 3-1/4 minutes. Thanks to the 'tdis' outside option plus a little extra coloring effort from me, the art aspect rates a 7. The math rating of a 6 is based on the unexpected resolution at such a high magnitude. The generating expression itself is the most overworked in all of fractal land. To see the image, run the included parameter file and wait a few minutes, or shift to arbitrary precision math and wait a few hours . . . or avoid the problem altogether by viewing the image on the web sites. These parameter file concerns may be totally avoided by visiting the FOTD web sites at: <http://www.crosscanpuzzles.com/Archives.html> <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> <http://www.Nahee.com/FOTD/> <http://user.xmission.com/~legalize/fractals/fotd/about.html> Near perfect weather prevailed here at Fractal Central today, with blue skies, cotton puff clouds, gentle winds and a temperature of 72F 22C. The fractal cats tried with little success to enjoy the narrow stripe of sun that fell on the edge of their shelf. The afternoon sun is now at too high an angle to cover the entire shelf. The fractal humans made it through another uneventful day. I pondered the mysteries of existence (that is if existence even exists), while FL worked in the fractal garden. To make her job easier, I offered occasional morale support from the porch while she worked. The next FOTD will be posted soon. Until a more certain time is revealed, take care, and the greatest question facing mankind nowadays may be 'is there life after birth?'. Jim (think positive) Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= SurprisinglySimple { ; time=0:03:15.00 SF5 at 2000MHZ reset=2004 type=mandel center-mag=-0.5252504033232\ 935/+0.5960229672161933/1e+013/1/102.5/0 passes=1 params=0/0 float=y maxiter=4500 bailout=10 inside=0 outside=tdis periodicity=6 mathtolerance=0.05/1 colors=000OawSZvVVvZSuaOtdLtbJp`Hm_FjYDgWBdV9`T7YR\ 5VQ3SO1PN0Mm5fqMVtbJodKkeKgfLchL_iMWjMSlNOmNKnNKpP\ KrRKsSQhNwUItRDqN8nK4jF5gA5b55Z05W05U05R05Q05M05L0\ 5H05H05F05H05805606517558E89MBAPFBTHCWKDZMEaOEigUt\ HeAgz9ez8dz7bz7`z6Zz5Yz4Wz4Uz3Tz2Rz1Pz1Oz5Nz9MzDLz\ HLzIXzIhzIszJpzKnzKlzLjzMgzMezNczOazO_zPXzQVzQTzRR\ zSUzI0IK0IM0JO0KQ1LS2MU3NW4OY5PY3QZ6R_9S`BTaERbGQc\ JOdMNeOLfRKgTIhWHiZFj`DkcCleAmh9nk7om6pp4qr3ru1sw0\ tv1uv2vv3wu4xu5yu6zt7zt8zt9zsAzsBzsCzrDzrEzrFzqGzq\ HzqIzpzzpzmpzmpzmnzmmzclzckzcjzcizchzCfSDeTDdUEcUE\ bVFaWF`WGZXHYYHXZIWZIV_JU`JT`KPYMLUOHRPDOR9LT5IU2F\ X4E_6Db8CdACgCBjEAlGAoI9rK8tL8uE6v74w13r39n5Ej7Jf9\ PbBUZDZVFdRHiNJnQLkSMhVOfXPc_RaaSZdUXfVUiXRkYPn_Mp\ `KsbHucFr`GpYHnWIlTJjQKgOLeLMcINaGO_DPYBQZNX_Yc`hj\ asqXYVW_TV`RUbPTcNSeLSfJRhHQiFPkDOlBOmAThDYcFbZI0z\ 00z00z00z00z00z00z00z00z0 } END PARAMETER FILE=========================================

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Nice images, Brian -- I especially enjoyed your color maps.
by Hal Lane 06 May '14

06 May '14

Nice images, Brian! I especially enjoyed your color maps. - Hal Lane ######################## # hallane(a)earthlink.net ######################## ============================================= Subject: [Fractint] FOTD for 4/30/14 I've been enjoying the high quality of the FOTD images for the past few months. Unfortunately, today's image is disappointing by comparison. However, the selected parent fractal does contain some fine details. Here are two examples: http://bprentice.webenet.net/Fractal%20Images/Set%2018/BP_18_85a.png http://bprentice.webenet.net/Fractal%20Images/Set%2018/BP_18_85b.png Brian Prentice ============================================= --- This email is free from viruses and malware because avast! Antivirus protection is active. http://www.avast.com

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FOTD 05-05-14 (Rectangle Homicide [A-7,M-7])
by Jim Muth 05 May '14

05 May '14

FOTD -- May 05, 2014 (Rating A-7,M-7) Fractal visionaries and enthusiasts: The S-shaped thing at the center of today's image is the curious rectangle just east of the large minibrot on the fractalized main spike of the Z^(2.003) Mandeloid. It looks nothing like a rectangle because the scene is sliced in the Oblate orientation, which is defined by the imag(C) and real(Z) axes of the Julibrot. I named the image "Rectangle Homicide" because of the violence I wreaked on the rectangle, though I realize that it's rather hard to be found guilty of murdering a rectangle. As I see it, the art and math aspects both rate a 7. The art is, well, all right, while the four-dimensional math trick has worn pretty thin by this time. The calculation time of 4-3/4 minutes could lead to impatience, so I recommend saving time by checking the web sites. The finished image is posted online at: <http://www.crosscanpuzzles.com/Archives.html> <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> <http://www.Nahee.com/FOTD/> <http://user.xmission.com/~legalize/fractals/fotd/about.html> A mix of sun and clouds prevailed here at Fractal Central today, with a temperature of 66F 19C, which was still a little below normal but due to the light winds, quite pleasant. The fractal cats, never satisfied, complained about the on-and-off sunshine. The fractal humans had an average day. Hey, I know it's not very exciting but this is the FOTD, not a sappy romance novel. The next FOTD will be posted when I get a round tuit. Tuits are everywhere however, so most likely the next FOTD is only 24 hours away. Until then, take care, and always remember that the news outlets let us know just what they want us to know. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Rectangle_Homicide { ; time=0:04:45.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=SliceJulibrot4 passes=1 periodicity=6 center-mag=-0.00000292103854801/+0.000050825559078\ 12/2180/0.02172/90.5720777131635515/87.94541111137\ 70125 params=0/90/0/90/-1.7435/0/0.00019/0.07682/\ 2.003/0 float=y maxiter=32767 inside=0 logmap=-62 colors=000YaiWagV`eTZbRW_QSWOOUMLPLJJJHIJGHGFGFEFF\ CDFGBFODKUHKaIK`UKecOlmUsucuzmwzcxzUwzYwzgmmpccoUU\ nKKnJAmIAmHAoGAqFAsEAuDAwCAzBAzAAz9Az8Az7Az7AzAEzC\ HzFKzHNzKQzMTzPWzRZzUazWdzZgz`jzcmzepzgsz`hzUZzNOx\ GEz94zIEzQOzYYzegzmqzUzzkqzUizUazUUzUMzULzUKzUJzcI\ zcHzcGzcFzcEzcDzcCzcBzmAzm9zm8zmDzmIzmNzmSzmXzmazm\ fzmkzmpzmuzmzzmwzmtzmqzmozmlzzizzgzzdzzazz_zzRzzJz\ zBzzDzzEzzFzzHzzIzzJzzLzzMzzNzzPzzQzzRzzSmzQmzPmzO\ mzNczLczKczJczIPzKPzLOzNOzONzQNzRMzTMzULzWLzXKzZKz\ _JzaJzbPzaVz`_z`ez_kzZpzZmzWjzUgzSdzPazNZzLWzITzGQ\ zENzBKz9Hz7Kz9NzBQzCTzEWzFYzH`zJczKfzMizNlzPnzQlzP\ jzOhzNfzNdzMbzL`zLZzKXzJVzJTzIRzHPzHRzHSzHUzHVzHRz\ INzIKzIIzFHzDFzBEz98zV2zp4zo5zo6zo7zo8zo9zoAzoBzoI\ znOznUzn_znezmkzmqzmwzmpzfiz`bzVhzamzgrznwztwzhwzX\ wzMqzHkzCez7_z2Vz7QzBMzGHzKCzP8zTFzYMzbTzg_zlfzqmz\ vtzzuztvzowzjxzdyz_zzVzzZ } 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=========================================

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FOTD 04-05-14 (Sandy Spectacle [A-7,M-6])
by Jim Muth 05 May '14

05 May '14

FOTD -- May 04, 2014 (Rating A-7,M-6) Fractal visionaries and enthusiasts: Today's quick-to-finish image is a scene in one of the parent fractals that results when the expression Z^(1.5)+C is iterated a whopping 439.5 levels down the hyperladder. For some reason unknown even to myself, I used the older MandelbrotBC2 formula to find the image. This parent consists of a large irregular bay vaguely resembling a strange automobile with two large front wheels and no rear wheels. The heads of two people can also be seen in the image, formed by the two large buds. Today's scene is located in the debris on the northern shore line of the large bay. In my opinion, the art aspect of the image is worth a 7, while the math aspect earns no more than a 6. The name "Sandy Spectacle" points to the large areas of sandy chaos that fill the scene. The calculation time of one brief minute should do away with fractal boredom, while the web sites can do away with the calculation chore entirely. Check the finished image online at: <http://www.crosscanpuzzles.com/Archives.html> <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> <http://www.Nahee.com/FOTD/> <http://user.xmission.com/~legalize/fractals/fotd/about.html> Some sun but lots of clouds, a few showers of rain, a chilly wind and a temperature that never got above 57F 14C left today with much to be desired here at Fractal Central. With ample food in their dishes, the fractal cats wanted little more however. The fractal humans had a rather slow day. Until next time, take care, and at what point does mass-media news become propaganda only roughly based on fact? Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Sandy_Spectacle { ; time=0:01:00.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotBC2 passes=1 float=y center-mag=+0.3115167767523484/+1.075817196286113\ /1.433343e+009/1/-110/0 params=1.5/0/-439.5/0 maxiter=2750 inside=0 logmap=114 periodicity=6 colors=000EYcCfaBzzAwYWoifbu_ZlKHd40U9FgEbxD6yGNgJ\ cQLt9IPDHND9F6HMDOTKVZRbeYikdprzwxztrzrlzmfzm`umWv\ hQwcKxZEhU8cP3cK6yK8xKAwKDvmYXjVVgRTdNRaKPZGNWCLT9\ KS8JU8Jc8JhKJmUJmcJhUJcKJU6UL6UK5UJ5UI5IH4IH4IG4IF\ 3cE3cD3cD3cC2cB2cA2c91c91c81c70c60c50c50c72c84cA6c\ B7cD9cEBcGCcHEcJGcKHckTXjTWhSVfRTeRScQQaPP`POZOMXN\ LWNJUMITMHUNJVOKWPLWQMXRNYSOZTPZUQ_VR`WS`XTaYUbZVc\ _Wc`XdaYebZfc_fd`geahfbfgggfehfchfbie`ie_jeYjdXkdV\ kdUlcSlcRmcPndNmcOlcOlbOkbPjaPjaPiaPh`Qh`Qg_Qf_Qf_\ ReZRdZRdYRcYSbYSbXSaXS`WT`WT_WTZVTZVUQhVQiWQjWQkWQ\ lWQmWQnWQoWQpWQqWQrWPpVOnUNlUNkTMiSzgSzfRzdQzcQzcP\ zcPzcOzcNzcNzcMzcLzcLzcKzcJzcJzcIzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzzzzzzfzRgzRizSjzSlzTnzUozU\ qzVrzVtzWuzWwzXxzXvzWuzVtzUzzTzzSzzRzzQzzPzzOzzNzz\ NzzMzzLzzKzzJzzIzzHzzGzzF } frm:MandelbrotBC2 { ; by several Fractint users e=p1, a=imag(p2)+100, p=real(p2)+PI q=2*PI*floor(p/(2*PI)), r=real(p2)-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 02-05-14 (How Low Are We? [A-7,M-8])
by Jim Muth 02 May '14

02 May '14

FOTD -- May 02, 2014 (Rating A-7,M-8) Fractal visionaries and enthusiasts: The name of today's image asks a question -- "How Low Are We?" The real(p1) parameter answers that question. The exponent of Z in today's image lies at the lowly level of 1.067, a level where fractals would normally be assumed to be virtually impossible, much less filled with minibrots. But thanks to the overworked MandelbrotBC3, which calculates the multiple values of the complex-log function, we have not only a fractal, but a rather exciting minibrot. The parent fractal resembles an orca swimming freely through its natural habitat, the ocean. The fractal orca is surrounded by a cloud of sandy debris that could be bubbles. Today's scene is located in this bubble debris, to the lower left of the orca. The minibrot in today's image is shaped like a plunging rocket ship, not at all like the orca shape of its parent. Almost all minibrots in this ultra-low range of exponents of Z are shaped like rockets or torpedoes, but this does not mean the scenes are worthless. The features surrounding the minibrots can sometimes be surprising. The art worth of today's image rates a 7. In my opinion, the art aspect is notably above average, held up by its brilliant coloring. The math rating of an 8 points to the surprise of finding a minibrot in a fractal with an exponent of Z as low as 1.067. And this is not the lowest possible exponent that would produce a fractal with minibrots. Like all things fractal, there is no well-defined cut-off point below which fractals with minibrots are impossible. Finding them simply becomes ever more difficult until the fractalist simply stops his search. The maxiter of today's image is 420,000, which results in a calculation time of 7-1/2 minutes. This is a good example of the increasing difficulty as the exponent approaches unity. And even with this extreme value, the minibrot is far from fully resolved. Luckily, the web sites are there to bring relief. So escape fractal drudgery. Check the finished image at: <http://www.crosscanpuzzles.com/Archives.html> <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> <http://www.Nahee.com/FOTD/> <http://user.xmission.com/~legalize/fractals/fotd/about.html> Today brought a mix of clouds and sun, brisk winds and a temperature of 61F 16C to Fractal Central. The fractal cats, now quite difficult to tell apart from a distance, had a playful day. The humans had a work day. The next FOTD will be delayed until May 4, two days from now. Until then, take care, and I just found a mind hiding under the stairs. Did anyone lose theirs? Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= How_Low_Are_We? { ; time=0:07:30.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=MandelbrotBC3 function=ident passes=t center-mag=-7.525986636549002/-3.471416076886733/\ 3.47627e+010/1/110/0 params=1.067/0/0/1500 float=y maxiter=420000 inside=0 logmap=395 colors=000d00b00`00_00Y00U02R0GT1JU5LW7MYCO_ER`JTb\ MUdRWdUY_TWUTWPTWLTWGTWCTW7TW4TW7URCUMGWJLWEOWCTY7\ YY5b_1f_0l_0q`0w`0z`0sb0nd0gd2`f7WgDRgHLiHGlHClH6n\ H2oH0oHAnHOlHbiHsiHq`HqTHqMEqEDo76o20o00o00zRDzziq\ zY_zOJzD5z50y00w00s00o00l00g20d60`A0YD0UH0RM0OP0PM\ 1RJ5TGAUEGWCLY9R_6W`5giMusfln_dgTYbMRYGLTALMDLHEGD\ GA9H55J01L50MA0OF0LK0HP2EV5C`79bA6fD4iH2nP0qY0sd0w\ d0zo0zuczyzzzz2PH5PH7PH9PHCPHDPHGPHHPHLPHOcYPcYTcY\ UcYYcY_cYbcYdcYbcobcobco`co`co`co_co_co_ozYozYozYo\ zWozWozWozGtz4tz0tzctzctzctzctzctzctzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\ 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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