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FOTD 07-07-11 (Way-Out Deep-East [7])
by Jim Muth 07 Jul '11

07 Jul '11

FOTD -- July 07, 2011 (Rating 7) Fractal visionaries and enthusiasts: Today's rather striking image lies in the East Valley area of a larger minibrot near the tip of the negative stem of the Mandelbrot set. The name "Way-Out Deep-East" refers to the location of the scene. The converging arms show that the scene lies very close to the escape radius, which in today's image lies very close, at -2. The rating of a 7 indicates that the image is good enough to be worth a look, though maybe not quite worth the 22 minutes required to run the included parameter file. Those 22 lost minutes may be saved by viewing the finished image on the FOTD web site at: <http://www.crosscanpuzzles.com/Archives.html> The high-definition version may be viewed at: <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> The honorable classic FOTD web site may be accessed at: <http://www.Nahee.com/FOTD/> Midsmmer heat prevailed here at Fractal Central on Wednesday, with blazing sun and a temperature of 93F 34C. The fractal cats weathered the heat in the coolest places they could find. The humans did what humans do when it gets hot. They took it easy. The next FOTD, another very deep one, will be posted in 48 hours. Until then, take care, and I hear that someone has theorized that a second dimension of time might exist in the sub-atomic realm. If so, motion in time down there would be as free as motion in space is for us up here, but I would hate to have to work out the math. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Way-Out_Deep-East { ; time=0:22:05.90-SF5 on P4-2000 reset=2004 type=mandel passes=1 float=y center-mag=-1.999996470333724681839775166903411/3.\ 0909517916650017312333e-13/3.950279e+030/1/-160/0 params=0/0 maxiter=6000 inside=0 periodicity=6 colors=000WfZXdVYcQZbM_aHfYAa_EXbHUfLQiPNlTJoWEs_J\ gjEofAubek60x25z_PlRxQXf_Jlw9zq8zn8zk8Kf6Gb6CZ63Z8\ 8V6DT4HQ3MD1iS4_K3TH1LE0D6052021000004000000000000\ 0000000000022568AAEGEJLGPNDKPGPQKUTSZUVcWYicVpZXnW\ _lRakOdjKfiGigDlf9ofZJZUVjUQcVLYYGS_COb7Id3Ec6Ib8L\ aBQ_DT_FW0FW3HY9LZFOZLS_QW_KWWGZUB_R6bN2cLDTNOKR_C\ WgIanNeuSlzYpPMO0C007927M86ZC3kG0wS9s`JojQkjSejUbj\ VYjXVjXQjYMjZHlVMoRPpNUsJWuF_wAcy5fz0jw0Xs0Ko06l00\ d30Y86REBJHFGMJBTQ0Wz0Yk6YVDZJJa6Ob0LN1JCBJ0IM6INB\ HPGHRMHTQGVWGYnSXgLWbFWW9YQ0WS3VTAVUGUVNVWUVYZW_fX\ UcWOaVHZj9`aBYUBWOCVIDVCEU5ET0FR0GREBZZ6fw0os3ao6Q\ k9FQ5C50260888EAGLBORBYYCfcDoknyoWxoExpAoX7kF8gE8c\ D8aE9YC9VBARC9PBHMJOMQXM_dRzeOrgNzhKwkHckFkkGkpEls\ Dk000r97o72l40k30j30f80cA0aE0ZH0WL0UO0RR0Oc0QV0RN0\ UG0W80P5M0_kbbk0_kYCOYHHWMNWQSWWWRVaVYbY`baabcccff\ djiezzjorfhjddib_g`lj6bgL } END PARAMETER FILE=========================================

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FOTD 03-07-11 (Bubbles on the Rocks [?])
by Jim Muth 05 Jul '11

05 Jul '11

FOTD -- July 03, 2011 (Rating ?) Fractal visionaries and enthusiasts: Today's image rates a question mark because I'm not even sure that it's a true fractal. It looks more like a 'painting' by one of those 'modern' artists who have more showmanship than skill and make up for their lack of ability by manipulating the gullible public into paying good money to see their awkward efforts. But then again, beauty is in the eye of the beholder, so who can say for sure that something like today's FOTD image, with its awkward colors and shapes, is not real art. Certainly not myself! I named the image "Bubbles on the Rocks" for some reason that I have long since forgotten. It came into being when I started fumbling with the Mystic2 formula, which draws nothing but empty circles unless the inside is set to an active fill, such as the 'bof60' fill that creates the action in today's image. The bottom edge of the image is 'outside' stuff. The crazy detail that fills most of the frame is actually 'inside' stuff made manifest by the 'bof60' fill. This is chaos carried to the extreme, with no signs of a unifying theme either in the shape or coloring. The image calculates in only 55 seconds, so why not go ahead and calculate it despite my less-than-favorable comments? After all, one person's junk is another person's treasure. For the convenience of those who do not calculate parameter files, the image is posted, already calculated, at: <http://www.crosscanpuzzles.com/Archives.html> The hi-def version is available at: <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> And don't forget the venerable FOTD web site at: <http://www.Nahee.com/FOTD/> A typical summer day passed uneventfully here at Fractal Central on Saturday, with sunny but rather hazy skies and a temperature of 88F 31C. The fractal cats also lived the day uneventfully, not realizing the exciting life they might have had if we had decided to let them be indoor-outdoor cats. The day of the humans was routine, as life tends to become in its third stage. The present plans are to post the next FOTD in 12 hours, but even the best laid plans sometimes go awry, so check to see what happens. The next image is already safely on disk and ready to fly. Until whenever, take care, and life comes in three stages -- early, middle and late. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= BubblesOnTheRocks { ; time=0:00:55.42-SF5 on P4-2000 reset=1950 type=formula formulafile=basicer.frm formulaname=Mystic2 function=cos passes=1 center-mag=+0.71234614/-0.70069042/830/1/-45.5/0 params=1/1/1/1/1/1 float=y maxiter=90 bailout=100 inside=bof60 logmap=yes periodicity=0 colors=000muzktzirzgpzenzclybjwahu`fs_dqZboY`mXZkW\ XiUUgTSeSQcRO`PMYNKVLISKGPJEMICJGAGE8DC6AB08E16G26\ I36K46M57N67O77Q87S98TA8UB8VC8WD9XE9YF9_G9`G9aHAbI\ AcIAdJAeJBfJBhJBiKBjLCkMDlNEmOEnOGoNHoNJoMLoMNoMQo\ LVpLVpLVpKVpKVpJVpJQqJLqIGqIBqIBqHBqHBrHBrGBrGBrFB\ rFBrFBsEBsEBsEBsDBsDBsDBrECqEDqFDpFEoFEoGFnGGmGGmH\ HlHHlIIkIJjIJjJKiJKhJLhKMgKMfKNfLNeLOeMPdMPcMQcNQb\ NRaNSaOS`OT`OT_PUZPUZPVYQVXQVXQWWQWWRXVRXURXUSYTSY\ SSYSSZRTZRT_QT_PU_PU`OU`OU`fGiy0sx2rx4rw6rw8qvAqvC\ quEpuGpuIptKptMosOosQorSnrUnqWnqYmq_mpampcmoelogln\ ilnkkmmkmokprnmpkkniimfgkdejach_agX_eVYdSWbQUaNS_L\ QZJU`HYbGacFbdEbdEbdDbdDbdCbeCbeBbeBceAceAcf9cf9cf\ 8cf8cf7cg7dg6dg6dg5dg5dh4dh4dh3dh3bl1cj2dh3eg4fe5g\ c6hb7i`8jZ9kYAlWBmUCnTDoREpPFqOGrMHsKItJJuHKvFLwEM\ xCNyBNtDPoFRjHSeJUaLVXNXSPYNR_JT`IU_HVZGWYGXXFYXEZ\ WE_VD`UCaTCaTBbSfsvguwhwx } 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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Binary Disarmament
by Mike Frazier 05 Jul '11

05 Jul '11

This fractal started with a deep zoom into elephant valley. After taking some side paths and seeing what changed, that information was used to customize the image. A notable find in this fractal was a side path that reduces the number of arms by any chosen binary number. This particular fractal reduces the number of arms from 256 to 8. Choose a similar feature on a ring closer to the minibrot at a magnification of 1.8E+37 to get a larger reduction of arms or zoom out more from this area and pick a similar feature at the next ring to get less. Here is a link to a web page with an image: http://www.fracton.org/fmlposts/binary_disarmament.html The parameter file used to make the image is below: BinaryDisarmament { ; Exported from Fracton. ; time = 1 min 57 sec at 640 x 480 with no aa ; on a Mac Pro 2 x 2.8 Ghz Quad-Core Xeon reset=2004 type=mandel passes=1 float=y center-mag=0.3621521493849173225653015936229961154\ 020303874746001572686474146939631186233564272156/0\ .7697027186599243781549340712467568527349109424266\ 821242302855761785090545156785712693e-1/1.61616163\ 6363636e+71/1/-10/0 params=0/0/0/0/0/0/0/0/0/0 maxiter=10000 inside=1 proximity=0 colors=000fTDeSDdRDcQDbPD`OE_NEZMEYMEXLEVKEUJETIES\ HERGEPFFQFFRGFSHFTIFUJFVJFWKFXLFYMFZNF_NF`OFaPFbQF\ cRFeSFdSFcRFbQFaPF`OF_OFZNFYMFXLFWKFVKFUJFTIFSHFRG\ FPFFPFFQGFRGFSHFTIFUIFVJFWKFXKFYLFZLF_MF`NFaNFbOFc\ PFcPFbOFaOF`NF_MFZMFYLFXKFWKFVJFUJFTIFSHFRHFPFFSNC\ <2>UODVPEWQFXRGYSHZTH`UIaVJbWKcXLdYMeZMf_Ng`OiaPjb\ QkcRldRmeSnfTogUphVriWsjWtkXulYvmZwn_xo`zpaypaxo`w\ n_vm_ulZtkYsjXriXqhWphVogUnfU<5>g`P<5>aWL<2>WQG000\ <5>888<7>III<7>RRR<7>```<9>jjj<9>lll<9>bbb<9>TTT<9\ >JJJ<9>999<10>000PFF<2>`OF<2>lXE<2>xeD<2>p_CgTD } -- Mike Frazier www.fracton.org

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A Fractal?
by juanw＠shaw.ca 04 Jul '11

04 Jul '11

Don't know if this is fractal-based. Certainly looks that way, and I find it remarkable! http://inoyan.narod.ru/kaleidoskop.swf John W.

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Re: [Fractint] A Fractal?
by Hal Lane 04 Jul '11

04 Jul '11

------- John W. said: ------- > Don't know if this is fractal-based. Certainly looks that way, > and I find it remarkable! > http://inoyan.narod.ru/kaleidoskop.swf ------- Alex Dukay said: -------- > I wonder how it was done? Here's a guess as to what's going on in the kaleidoscope algorithm: There's: - a precalculated unseen fractal - real-time copying of a pie wedge-shaped area from the fractal - real-time translating and rotating of the pie-shaped mask that decides what part of the source fractal to copy from. - These translation and rotation matrices are controlled both by a built-in timer and in response to cursor movement. - real-time pasting of the copied pie-shaped area 12 times -- each of the 12 instances rotated 1/12 of the way further around a circle. So, we have lots of pixel copying, but no fractal calculations going on while the kaleidoscope is being displayed. Btw, I'm pretty sure that Shock Wave Flash has built-in capabilities for translating and rotating sprites. If your sprite happens to be a big wedge from a fractal instead of an icon (like in Hamster Dance) the software doesn't care. Anyone else have any ideas about the kaleidoscope at the link above of methods that could easily produce what's going on? - Hal Lane ######################## # hallane(a)earthlink.net ########################

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Scale of the universe
by Lee H. Skinner 03 Jul '11

03 Jul '11

Although not a fractal, I thought many here who enjoy zooming in and out of fractals would enjoy this interactive presentation: http://primaxstudio.com/stuff/scale_of_universe/ Lee Skinner

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FOTD 01-07-11 (Squared Octagon [7])
by Jim Muth 01 Jul '11

01 Jul '11

FOTD -- July 01, 2011 (Rating 7) Fractal visionaries and enthusiasts: Without the FOTD to keep it active, the grand old Fractint list seems to be slipping into a torpor. So I have decided to resume the FOTD on an every-other-day basis, alternating the daily FOTD's with a day of working on the FOTD web page. Things were still rushed here at F.C. on Friday, meaning the discussion will be terse. Today's image is a scene deep in a filament on the northeast shore line of the main bay of the Mandelbrot set. It actually lies on a filament in the image of June 24, at a magnitude about twice as great. Many of the same themes appear in today's image, though the large outer square and the smaller inner octagon are totally missing from the previous scene. Perhaps a bit liberally, I rated today's image at a 7. The name "Squared Octagon" refers to the geometric shapes in the image. The calculation time of 17 minutes is slow, but given the magnitude of the image, the slowness is unavoidable. The finished image is available at: <http://www.crosscanpuzzles.com/Archives.html> The high-definition version is at: <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> The original FOTD web site may be accessed at <http://www.Nahee.com/FOTD/> Total sun, low humidity and a temperature of 82F 28C made Friday an ideal day here at Fractal Central. The fractal cats spent the day sleeping, perhaps showing signs that they are no longer kittens. The humans' day was acceptable, with little problems but no big disasters to speak of. The next FOTD will be posted in 48 hours -- but then again, maybe it will be delayed. Until whenever, take care, and as the owl said, it's 'too hot to hoot', which spelled backward is 'too hot to hoot'. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Squared_Octagon { ; time=0:17:21.84-SF5 on P4-2000 reset=2004 type=mandel center-mag=0.44658826674909\ 358559395849/0.37152108221226800868923596/3.8e+020\ /1/62.5/0 params=0/0 float=y maxiter=6400 inside=0 colors=000FabCbdAde7fg4hk5hh5de5_b4YZ5V_5S`5Pa5Mb5\ Lc5Jd5He5Ff5Eg5Ch5Ai58j57j48g49d4Aa4B_4CX4BU4AR4AP\ 4AM4AJ3AI4AH4AG5AF5AF6AE6AD7AC7AC8AB8AA9A99A9AA8AA\ 7AB7EA9H9AL8BO7CR6DV5EY4F`3G_5JZ6LY8OX9QWATVCVVDYU\ F_TGbSHdRJgQKiTHnQLkOOhLReJVbGY_E`XBcU9gR6jO4mL2pI\ 7mJBjKGgKKeLPbMT_MYXNaVOfSOjPPoMQsKQpNRmPSjSSgUTdW\ UaZUZ`VWbWTeWQgXLlVOiXQfYSd_Va`X_aZXc`UdcSfePggNhi\ KjlHknFmpCnrAoqDmpFkoHioJgnLemNcmPalR`kTZjVXjXViZT\ haRhcPgeNfgMeiKekIdmGcoEcqCbsAau8aw7fsBkoFqkLogJmc\ Ik_GiWFhVDfUCdTAbU9aV7_W6YY4W_3V`2UY6UVATTETQITNMS\ LQSIUSGXQFYPEYNEYMDZKCZJCZIB_GA_FA_D9`C9`A8`97a87a\ 66a57b39b2Cb1Fb1Ib2Ld2Oe2Rf2Ug2Xh2_i2bj3el3hm3kn3n\ o3qp3tq3wr2zv3ws4uq5so6pl6nj7lh8ie9gc9eaBd_CcZEbXF\ aWH`UI_TKZRLYQNXOOWNPVLRUKSTIUSHVRFXQEYPC_OB`N9bM8\ cL6dK5cJ8cJAcJCbJEbJGbJIbJKaJMaJOaJQaJS`IV`IX`IZ`I\ `_IbXWSUXTSXVPYXMZYKZ_H_` } END PARAMETER FILE=========================================

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An unscheduled fractal
by Jim Muth 29 Jun '11

29 Jun '11

Fractal visionaries: To give assurance that I am still doing fractals, here is a scene I recently found deep in the Mandelbrot set. It is not an FOTD. The FOTD will be resumed when my FOTD web site is in respectable condition. The parameter file is rather slow, which will give lots of time to ponder the mysteries of fractals. Until next time, stay tuned and enjoy the occasional fractals from Fractal Central. JIM START PARAMETER FILE======================================= Ellipse_of_the_Day { ; time=0:28:47.51-SF5 on P4-2000 reset=2004 type=mandel passes=1 center-mag=-0.154430158076852307578200573930148812\ /1.02818405143782995934904475562903725/2.386084e+0\ 31/1/-15/0 params=0/0 float=y maxiter=2800 bailout=9 inside=0 symmetry=none periodicity=6 colors=000F`UF`UE_UD_VCaVCcVBeWAgWAiWBkVClVDkUEiUF\ gUGeVGcVHaVH_VIYVIWVJUVJSVKQVKPVKOVLNVLMVMLVMKVNJW\ NIWOHWOGWPFWPEWPDWQCWQBWRAWR9WS8WS7WT6WT5WT4WU6VU8\ UUATVBSVDRVFQWGPWIOWKNWMMXNLXPKXRJYSIYUHYWGYYFZZEZ\ `DZbC_cB_eA_g9_i8`j7`l67pU8nTAmTBkSCjRDhRFgQGePHdO\ JbOKaNL_MMZMLWLLUKLSJLQILOHLMGKJFKHEKFDKDCKBBK9AJ1\ 8K79KDAKIAKOBKUCLZCLdDLjELoELuFKzFUzZcvYjrYgmXdhXa\ cXZcWWcWTcVUcVXcOZcVYcabehcclmWnkXoiYpfZqd_rbas`ct\ _ep_gm_ijZkgZmdZo`ZqYYrVYsSYtPWuJYtM_tPasRbsUdrWfr\ Zhq`iqckpemphnpjnoXnpUnqWnrYns`ntcnufnvmnwfnxRny7n\ x9oxBqxDswFuwHwwOxwZyvezwmzxpzyvzzzzzzzzzzzzzzzzzz\ zvzzrzzmzzhzutVrqUpoTmmSkkRiiQfgPdeOacN_aMY_LVXKTV\ JRTIORHMPGJNFHLEFJDCHCAFB0634A78DBCHFGKJKONORQSVUW\ YY_aacdeghioopmmnkkljijhhhffgedecbcaaa`__ZYZXWXWVV\ UTTSRRTNUSOSRPRRQQQRPPSNPTMOULNVKNWJMWHMXGLYFKZEK_\ DJ`BIaAIb9Hc8Hc7Id6Ie6If6 } END PARAMETER FILE=========================================

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Multifractal_10 (War - Zoom into "Islands in the Sun")
by Albrecht Niekamp 26 Jun '11

26 Jun '11

Hi, I´m not sure about your reactions to this one. It´s not a pretty one, can´t be with that title, but very unusual indeed. Please tell me what you think. Thanks. Albrecht -------------------------start par------------------------- 20105az2 { ; War ; Time 0.52.39 ; Mandel-secant-mmods ; Zoom into "Islands in the Sun" ; Fractint Version 2004 Patchlevel 11 reset=2004 type=formula formulafile=mfr.frm formulaname=multifractal_10 function=cos/exp/exp/sin passes=t center-mag=-1.13058642478997200/+0.28449817625896450/693\ .8962/1.1228/101.291651332089913/-2.44095331583978226 params=-0.05825983458967864/0.3785210730307932/20105.035\ 64960102/25234.2207090221/151024.0204808192/384.32768524\ 288/384.00482000595/128.1007683001/256.1007683001/256.20\ 07683001 float=y maxiter=3072 inside=maxiter outside=tdis logmap=4 periodicity=0 rseed=-2436 colors=n0B00z<78>vv4ww3ww2<2>zz0zz0zy0<77>z40z30z20z20z1\ 0z00<9>s07r08q08<3>n0Cm0Dl0E<59>50u40v30w<3>00z000 }

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The missing FOTD's explained
by Jim Muth 26 Jun '11

26 Jun '11

Fractal visionaries and enthusiasts: I have been trying to get my FOTD web site up to date for several months, with little success. There is simply not enough time in one day to write a new FOTD and work on the 125 or so months that still need to be put up on the web site. Regret- fully, I will need to stop posting the daily FOTD until the web site is in better shape. How long this will take is anybody's guess, but with the good stuff that has been posted on the Fractint list recently, I doubt that a fractal drought is on the way. Meanwhile, keep checking the FOTD web site at: <http://www.crosscanpuzzles.com/Archives.html> where things will still be happening, and keep your eye on the new multifractal images being posted on the Fractint list. They could lead to an entirely new world of fractals. JIM

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