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Re: [Fractint] FOTD 29-04-11 (That Old Black Magic [7])
by Brian Prentice 01 May '11

01 May '11

Jim Muth wrote: When I tried the 'fmod' option on today's scene, I saw almost at once that the circles are cut-off, which means there are no hidden minibrots. But there are Jim, for example here is a picture of one: http://linuxenvy.com/bprentice/Fractals/Set%2015/BP_15_96a.png and here is another view of it: http://linuxenvy.com/bprentice/Fractals/Set%2015/BP_15_96b.png Brian Prentice

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FOTD 01-05-11 (A Turquoise Cousin [8.5])
by Jim Muth 30 Apr '11

30 Apr '11

FOTD -- May 01, 2011 (Rating 8.5) Fractal visionaries and enthusiasts: Today's image is named "A Turquoise Cousin". The reason for the word 'turquoise' is obvious; the reason for 'cousin' is less apparent. Actually, the minibrot at the center is not a pure quadratic, only a close cousin. The parent fractal was created by the formula Z^(1.98)+C calcula- ted 1.98 levels up the hyper-ladder, with no function applied. This parent closely resembles a Mandelbrot set that has been rotated so that its main bud faces southeast, a position that puts its large south bud on the northeast side of the main bay. Today's scene lies in a small blunt valley jutting into this bud. The rating of an 8.5 includes a half point bonus for the cool coloring. At least the colors look pretty cool to me, almost like a mint. The calculation time of just over 1-1/2 minutes is very near FOTD average, and is a bargain for an image rating an 8.5. But setting up this message as a parameter file is still a minor chore, so for ultimate convenience the finished image may be viewed with total satisfaction on the FOTD web site at: <http://www.crosscanpuzzles.com/Archives.html> and enjoyed in hi-def at: <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> Paul's classic FOTD web site may be accessed at: <http://www.Nahee.com/FOTD/> Friday here at Fractal Central began with a light shower, followed by clouds and occasional sprinkles the rest of the day. A brisk wind and temperature of 57F 14C made it feel quite chilly, especially after the summer-like warmth of the past several days. The fractal cats remained well under control most all day, though Nicholas worried us a few times for an extra treat of cheese. Saturday brought more sun, a temperature of 68F 20C and contented cats. While all this was happening, the humans' days were acceptable. The next FOTD is scheduled to be posted in 24 hours. As always however, I make no guarantee that it will actually be ready on time. Until whenever, take care, and how can we determine the secrets of the universe when we don't even know what we are or how we came to be here? Jim Muth jamth(a)mindspring.com START PARAMETER FILE======================================= A_Turquoise_Cousin { ; time=0:01:35.13-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=MandelbrotBC3 function=ident passes=1 center-mag=+0.5430329672717207/+0.6525570342040315\ /2.2935e+010/1/-52.5/0 params=1.98/0/1.98/0 float=y maxiter=1500 inside=0 logmap=132 colors=0000HF2KK4MN6PQ8UUAZZCccEhhGmmIrrKvvjzzzzzz\ zzmmmKKKdvtBdf8WY6OP4GH288X6DG36z4cr3Zj3Ub2PV2K3GI\ OaEgwBakAX_9SP8ND7I26M69Q9BUDDYGFaKHeNJhQLgZPggSgp\ WgyZ_nTTdNMVH970EKB7A5Yj5Tc4OX3JQ2EK29D1460kbmcWdW\ QXOJPGDG868GtBCh89Y66M43B2dmmZeeTZZNSSHLLBEE577SKS\ MGMGCGB8B545SU_IKO9AC9Gz7Dq6Bh59_36R24I129hSVUIKF9\ AvaanXXgSS_NNTJJMEEE997445Pi3IY2CN16ByPIlKE`FAOA7C\ 53xlpUOQSvsETSRESD7EsUplQieMbZIXSFQLBJE7D736Bc49Y3\ 7S26M24H13B1150gj4bk7Xd6RY5MR4GK3BD2561wlzkbm_T`OJ\ PC9C9es7Xg5PX3GM18B1cfTYnOSeJMYEHP9BH458ba4YX3TS3O\ N2JJ2EE19914405Jk4Ge3E_3BU29O17I14C026l5QvmYTPH28j\ 16c15X14Q03K02D0163YP2RK1KF1DA065iTXYLONEGB78UGlKA\ WA5GQJPD9CEr49s24t1Pu8Kv6Gw5Cx48z24z1OzeCzLQzYKzRF\ zKAzDzz6zzvzzbzzJzzezzZzzSzzLzzEzz7zzWzzGzz5zz4zz3\ zz3zz2zz1zz1zz0zzXzzOzzGzz8zzDzzBzz9zz8zz6zz4zz3zz\ 1zz7zz4zz2zzrzzhzz_zzRzzI } 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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No FOTD for April 30
by Jim Muth 29 Apr '11

29 Apr '11

Fractal fans: But the image for May 01 will be posted on time. JIM

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FOTD 29-04-11 (That Old Black Magic [7])
by Jim Muth 28 Apr '11

28 Apr '11

FOTD -- April 29, 2011 (Rating 7) Fractal visionaries and enthusiasts: I often use the outside=fmod option to help locate elusive minibrots. This option draws concentric circles around the minibrots of all orders. When the centers of the circles are cut off, it is unlikely that minibrots will be found in the area. When I tried the 'fmod' option on today's scene, I saw almost at once that the circles are cut-off, which means there are no hidden minibrots. But I was surprised by the pattern created by the cut-off circles themselves, and refined it into the FOTD for April 29. The image uses only the final 1/3 or so of the color palette, which makes it basically a monochrome image. I tried several full color palettes, but none turned out as well as the silvery- blue one I used in the image. At this point I must humbly apologize for the spiral aspect of the image. I sometimes put down fractals with spirals, because we see so many of them, but this does not imply that I consider all fractal spirals fit to be cast aside. The spiral tendencies of today's image are what raised it to a rating of a 7. The name "That Old Black Magic" expresses my fascination at the way numbers can create entire infinite worlds, perhaps our own universe as well. The calculation time is a measly 33 seconds. The minor inconven- ience of running the parameter file may be avoided by viewing the finished image at: <http://www.crosscanpuzzles.com/Archives.html> and in high-definition at: <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> The original FOTD web site is located at: <http://www.Nahee.com/FOTD/> Heavy rain returned to Fractal Central Wednesday night, but the newly installed sump pump did its job, and the fractal basement suffered nothing more spectacular than a couple puddles. It's not ideal, but on a flood plain in a month of record rainfall, it's much better than manning and womaning the bailing buckets in the middle of the night. The rain moved out by daybreak Thursday, leading to a pleasant day, with partly cloudy skies and a temperature of 79F 26C. The fractal cats spent the day sleeping, which is what all cats do best. The next FOTD is due to be posted in 24 hours. Until then, take care, and don't warn others that they must do some- thing about 'man-made' climate change, aka global warming, until you are ready to park your own car for good. Jim Muth jamth(a)mindspring.com START PARAMETER FILE======================================= ThatOldBlackMagic { ; time=0:00:33.29-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=MandAutoCritInZ function=recip center-mag=0.0378359/-2.24077/30/1/90/0 params=11/-1.1/1.1/-11/0/0/0/0 float=y maxiter=1500 proximity=1.12 outside=fmod periodicity=6 colors=000OczQbzSazU`zW_zX_zZZz`YzbXzdWzfVzgVzXboM\ jaBrN0z91y81y81y81x81x81x71w72w72w72v72v62v62u62u6\ 2u62qB2mF2iJ2eO2aS2YW3XZ3W`4Vb4Ud5Tg5Si6Rk6Qm6Pp7O\ r7Nt8Mv8Ly9Kz9Jz9IzLipKipKhpJhpJhpIhpIhpHhpHgpGgpG\ gpFgpFgpEgpEfpDfpDfpCfpCfpBepBepAepAep9ep9ep8dp8dp\ 7dp7dp6dp6dp5cp5cp4cp4cp3cp3cp5bo6bo7bn8bn9bmAamBa\ lCalDalEakF`kG`jH`jI`iJ`iL_iM_hN_hO_gP_gQZfRZfSZfT\ ZeUZeVYdWYdXYcYYcZYcYXbXWaWW`WV`VV_UUZTUZTTYSSXRSX\ QRWQRVPQVOQUNPTNPTMOSLNRKNQCHIKMQJMPILOzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzyzzxzzwyzvxz\ uwztvysuxrtwqsvpruoqtnpsnpsmorlnqlnqkmpjmpjloiknhk\ nhjmgjlfilfhkehkdgjdgicfibehbegadg`cf`cf_beZbdZadY\ `cX`bX_bW_aWZaVY`UY_UX_TXZSWYSVYRVXQUXQUWPTVOSVOSU\ NRTMQTMQSLPSKPRKOQJNQINPIMOHMOGLNFKMEJLDIKCHJBGIAF\ H9EG8DF7CE6BD5AC49B38A279 } frm:MandAutoCritInZ {; Jim Muth a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=1/f, h=1/d, j=1/(f-b), z=(((-a*b*g*h)^j)+(p4)), k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel): z=k*((a*(z^b))+(d*(z^f)))+c, |z| < l } END PARAMETER FILE=========================================

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Re: [Fractint] FOTD 28-04-11 (Order in Emptiness [5])
by Brian Prentice 28 Apr '11

28 Apr '11

Here is Jim's fractal for today rendered by Fracton: http://linuxenvy.com/bprentice/Fracton/Order%20in%20Emptiness.png Notice that some of the detail is missing, for example the small cross features. The image is nevertheless very interesting and beautiful. Brian Prentice

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Re: [Fractint] <Jim>The new rating scale creates an ongoingconfusion...
by Jim Muth 28 Apr '11

28 Apr '11

At 09:52 PM 4/27/2011 -0600, Jay wrote: <snip> >So, Jim, my recommendation for you is essentially to keep with the old >rating, because you probably did not change it, anyway. Yes, the change created more problems than it solved. I have gone back to using the old rating system. JIM

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A concept car design using fractal wheels for suspension
by david 28 Apr '11

28 Apr '11

http://www.michelinchallengedesign.com/MCD_2011/mcd_2011_gallery_d02.php -- David gnome(a)hawaii.rr.com authenticity, honesty, community

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<Jim>The new rating scale creates an ongoing confusion...
by Hal Lane 27 Apr '11

27 Apr '11

Jim, Thanks for putting the links to Paul's and my web sites on your FOTD site. I'm of the opinion that the new rating scale for your FOTDs, while solving one problem, creates an ongoing confusion of much larger dimension. The problems as I see them: - When I see a bare rating, I never know which it is, - When you do give a "This is the new rating system": - It's cumbersome to always have to add a string of words to identify the rating system in use, - And even if one is told: "This is a rating in the new rating system" where does one go to find the relationship between the two -- and then *remember* that, if you find it. - In theory, one would always have to repeat the relationship between the two rating systems every time a rating is given to insure full clarity. This is clearly not practical. I confess I currently remain confused. I understood the old rating system -- and it allowed for poor quality images to be effectively rated, as well. Despite the compressed scale of ratings from 5 to 10 (in the old rating system) you were able to effectively compensate with fractional ratings -- e.g.: 7.5 (in the old rating system). Abandon this madness! Respectfully submitted, - Hal Lane ######################### # hallane(a)earthlink.net # #########################

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Inner-set TDIS
by Jay Litwyn 27 Apr '11

27 Apr '11

When the maximum number of iterations is reached (assume that that the orbit is periodic), calculate the total distance that the orbit haz travelled. The calculation is already there for orbit escapees.

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FOTD 28-04-11 (Order in Emptiness [5])
by Jim Muth 27 Apr '11

27 Apr '11

FOTD -- April 28, 2011 (Back to old scale Rating 5) Fractal visionaries and enthusiasts: With today's image I have returned to the old familiar rating scale on which today's image rates an honest 5. I named the image "Order in Emptiness" because it consists totally of empty 'inside' area created by the Mystic2 formula and brought to life by the 'bof61' inside fill. I might have been a bit over-enthusiastic when I chose the word 'order'. At least to me, the image consists of little more than chaos, relieved here and there by seashell-like bits of semi order. The calculation time of 4-3/4 minutes is admittedly slow for such an average image. The image may be seen already calculated on the following FOTD web sites: <http://www.crosscanpuzzles.com/Archives.html> <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> The entire FOTD hisotry prior to November 2010 is available at: <http://www.Nahee.com/FOTD/> but this site is not up to date. A mixture of clouds and sun, and a temperature of 82F 28C made Wednesday rather pleasant here at Fractal Central. After chasing away a stray tomcat in the morning, the fractal cats spent the rest of the day feeling proud of themselves. Evening thunder showers did not disturb them. My day was quite busy, which explains but does not excuse the sub-par FOTD and hurried discussion. The next FOTD, almost certainly improved, will be posted in 24 hours. Until then, take care, and be right up there with the big-time doers. Jim Muth jamth(a)mindspring.com START PARAMETER FILE======================================= Order_in_Emptiness { ; time=0:04:48.52-SF5 on P4-2000 reset=2004 type=formula formulafile=jim.frm formulaname=Mystic2 function=tan passes=1 float=y center-mag=-0.399451/0.13769/44.39462 params=1.5/\ 0.3/2.1/1.2/3.8/2.4 maxiter=500 inside=bof61 logmap=yes periodicity=0 colors=000rLZrMXrOWrPVrQTrSSrTQrVPrWNqXMqZKq_JqaIq\ bGqcFqeDqfCqhAqi9qj8qj8n`9jRAgHBd7Cc8Db8DUUm`8E`8F\ _8FZ8GY8GX8HX9HW9IV9IU9JT9JT9KS9KR9LQ9LP8KQ9LQ9MQ9\ NK3NR9ORAPRAPSAQSARSARSASTBTTBTTBUTBVUBWUCWUCXUCYV\ CYVCZVC_VD_WD`WDaWDaWDbXEcXEdXEdXEeYEfYEfYFgYFhZFh\ ZOzZFjZFjWEhTDfQDdNCbKC`IBZFAXCAV99T69R38P18N3AO5C\ O6EP8GPAIQBJQDLRFNRGPRIRSKTSLUTNWTPYUQ_USaUUcVVdVX\ fWZhW_jXalXdnVbmX`lZ_k_YjaXjbVidUheSggRghPzjOzkMzm\ LznNzmPzmRzlSzlUzkWzkYzjZzj`zibzidzhezhgzzizzkzzlz\ zizzgzzezzczzazz_zzXzzVzzTzzRzzPzzNzzKhzLgzMgzNgzO\ gzPgzPgzQgzRfzSfzTfzTfzUfzVfzWfzXfzYeGYeFZeF_eE`eD\ aeDaeCbdBcdAddAed9fd8fd8gd7hd6ic5jc5jc4kc3lc3mc2nc\ 1mb0nc1nd2nd3oe3oe4of5pg5pg6ph7qh7qi8qj9rj9rkArkBs\ lBsmCsmDtnDtnEtoFupFupGuqHvqHvrIvsJwsJwtKwtLxuLxvM\ xvNywNywOyxPyxPxwQwvQvuQvtQusQtsQtrQsqQrpRroRqnRpn\ RpmRolRnkRnjRsFdsHbrIarJ_ } frm:Mystic2 {; Jim Muth a=real(p1), b=imag(p1), c=real(p2), d=imag(p2), k=real(p3), f=imag(p3), g=pixel, z=(pixel)^a+(b*(pixel))^c: z=(fn1(z)+(d*(g)))^k+(f*(cos(g))) g=sqr(g), LastSqr <= 100 } END PARAMETER FILE=========================================

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