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Re: [Fractint] A meaning for scalemap=0/0/0/0/0/0/0/0/0/0/0/0; silence.
by Jay Litwyn 19 May '11

19 May '11

Okay, so zero is a valid number in this assignment: frequency = reference * 2 ^ (1/12) ^ 0 In that, 2 ^ (1/12) ^ 0 = 1, so a scalemapping of zero translates to the reference frequency: reference over one, which, if your reference frequency is 440Hz, 220Hz, 110Hz, or 55Hz, is a 12-TET Ay. FracTint will use zeros if you enter them manually. It will also save them. I won't load them from parameter files. It should not be treated as it is, though, because that means two Ays are possible in a scalemapping: Zero and Twelve. I've been using zero to reprezent silence for over ten years. That's what M$ QBASIC does. It was a bit tricky to get a neat zero in my synthesizer, when I decided that the PC speaker didn't offer quite enough in the way of parallel harmonics and neat sine waves. If I want to change it, I guess the easiest way is to read the code myself, splice in a special case for zero, where all of the Cs, one of which would normally be at about 65.4Hz, become silent: compile it in, and offer it on the developers mailing list when it works. _______ http://ecn.ab.ca/~brewhaha/Sound/

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FOTD 18-05-11 (Questioned Reality [?])
by Jim Muth 18 May '11

18 May '11

FOTD -- May 18, 2011 (Rating ?) Fractal visionaries and enthusiasts: The version of today's discussion that appears on the FOTD web site includes material that may be offensive to certain sensitive individuals and has been omitted from this fractal- topic version. I gave today's extreme-magnitude image no rating. How could I rate it when I'm not even sure it's real? Oh, the image itself is real enough, but is it an actual fractal or just an artifact of mathematical imprecision? In the end, it doesn't really matter whether the image is real or an artifact. If it's an artifact, it's a real artifact, and with its ever-increasing series of rings, it makes a rather interesting figure. The image is located inside the usually-empty bay of a minibrot in the Seahorse Valley area of the Mandelbrot set. Those who doubt this may back out of the scene and prepare for a surprise. The name "Questioned Reality" refers to the questionable reality of the entire image, and also to the questionable reality of what we call the 'real' world. The calculation time of 5-3/4 minutes may be bypassed by viewing the finished image on the FOTD web site at: <http://www.crosscanpuzzles.com/Archives.html> The high-definition image is available at: <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> The classic original FOTD web site may be accessed at: <http://www.Nahee.com/FOTD/> Heavy clouds and continued intermittent light rain prevailed again here at Fractal central on Tuesday. The fractal cats kept dry indoors, but wished the outdoor temperature could have gone above the actual high of 63F 17C. The humans kept busy doing other things. The next FOTD will be posted in 24 hours. Until then, take care, and does it take a brain to make a mind or a mind to make a brain? Jim Muth jamth(a)mindspring.com START PARAMETER FILE======================================= Questioned_Reality { ; time=0:05:47.01-SF5 on P4-2000 reset=2004 type=formula formulafile=allinone.frm formulaname=HyperMandelbrot2 passes=1 center-mag=-0.75836030827917080/+0.076845311784048\ 33/1.790637e+013/1/-56/0 params=0/0/0/0/0.77/0/\ 1e-100/0 float=y maxiter=1600 periodicity=0 inside=0 logmap=1008 mathtolerance=0.05/1 colors=000B48C37C36D35D24E23E22E21K89JHHIQPHZXGZdF\ _aNYgUXcSYaRX_PVZOSXMOWLLUPIPKAKA5A0002Sc1Rg0Rk8Qm\ FPoMOpUNr`MsgLunKvkNqiQmfTidWebZa`XbZVcXUcVSdTQeRP\ ePNfNQfNUeMceLmeKpeLqeMncMiaNd_O_YOWWSZZWa`_dcbgef\ jgjmjnpmrsrvvvzzzB8j98h78f58d38b18`08ZABTKENTHHmQB\ kP5jK9jFCiBGi8Jh4Nh1Q_CPRMOJWOAeN2oNBcHKSBTG5`40b9\ 5dDAfIFhMKjQPebT`nWiPZr0ar3dr6fr8irBkrEnrGprJsrLuj\ m3fVkiSilQhoOgrLfuJewHdsKcpNclQbiSbfVbbYa_`aXbaWdX\ VfTVhPUjKTlGTmCQpPNs`KvmIyyPwxVux`txgrwmqwsowynwum\ prlinkbkkWgjPdiIaiCUhRMgeEgtFfpFfmFeiFefFecFd_FdXF\ dUJZVNUWRPXVKYYFY`GTbHPeIKgJGjKBlL7nM3RgWO_VLTVIMV\ GFVIIUJLULOUMRTOUTPXTQZTUUQYQNaLKeHIiDFm8Cq49t07s9\ 6sH6sQ5rY5rf4rn4emETlNGkWCnQ9pL6sG3uB0w67sE6jS5beF\ ZdOVcYScfOboLblQajV`h_`fd_dh_aia_ibXjcVjdb`hjRlqIo\ nFqkDshBte8vb6w_4yY2zQ3lI3ZA4L2486JBAYEEkGFhKGfNHd\ QIbUJ`XKZ_LXbMVfet7mw7UW8 } 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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bunny.par
by Jay Litwyn 17 May '11

17 May '11

Exp_Div { ; Formula z=fn1(pixel), exponent=real(P1): z=z^exponent -fn2(z) +P3 exponent=exponent / P2 |z| <= imag(P1) } Bunny { ; http://ecn.ab.ca/~brewhaha/img/Bunny.jpg ; 0:00:20.71/megapixel on a 3.2GhzP4 reset=2004 type=formula formulafile=bunny.par formulaname=exp_div function=ident/conj passes=t center-mag=1/0/0.2089479/1.4289 params=2/8/1/0/-0.5/0 float=y maxiter=255 inside=0 invert=1.07576482623806/1.125/0 symmetry=xaxis periodicity=0 colors=(a)rainboh.map }

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FOTD 17-05-11 (String of Numbers [8.5])
by Jim Muth 17 May '11

17 May '11

FOTD -- May 17, 2011 (Rating 8.5) Fractal visionaries and enthusiasts: With today's image we return to that warhorse formula, the MandAutoCritInZ, where we subtract 1.4 parts of Z^(1.5) from Z^(3.5) before adding straight C. This rather routine combina- tion creates a parent fractal resembling a violin with ears. Today's image is located in a blunt valley jutting into the northern ear. A good part of the image consists of dead 'inside' stuff, brought to life by the 'bof61' inside fill. The other active inside fills create different effects and are worth a try. I named the image "String of Numbers", which is really no name at all, since all fractals are strings of numbers. But this is what came to mind when I studied the image, and this will for- ever be its name. The rating of an 8 might be a bit over-estimated. That's no problem. If 8 is what I think it was worth when I rated it, then 8 is what it's worth. The extra half-point is an after- thought, a self-reward for the coloring. The calculation time of 8-1/4 minutes is too long, but may be avoided by viewing and enjoying the finished image on the FOTD web site at: <http://www.crosscanpuzzles.com/Archives.html> The discussion on the web site will often differ from the version posted to the list. I consider the web site to be more an omnibus blog than a fractal forum, a blog where all topics are fair game, especially science, religion, and philosophy. High definition fans will find their dreams fulfilled at: <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> where today's image is posted in hi-def. The original FOTD web site, with all images prior to November 2010, is available at: <http://www.Nahee.com/FOTD/> Lots of clouds, only a little rain, and a temperature of 68F 20C made Monday a nondescript day here at the self-proclaimed Fractal Central. After a lively tussle Sunday evening, when oversized Nicholas knocked petite Cassie off the footstool, the fractal cats made up for their spat Monday morning and lived peacefully the rest of the day. The humans had another typical day, with nothing out of the ordinary happening. Unlike Lake Wobegon, where something happens even when nothing happens, when nothing happens at FC, there is nothing to tell. The next FOTD will be posted in 24 hours, and that definitely is something to tell. So until then, take care, and I found a Higgs particle on my desk this morning, but before I could put it in a safe place, it vanished. Once again, worldwide fame and recognition have eluded me. Jim Muth jamth(a)mindspring.com START PARAMETER FILE======================================= String_of_Numbers { ; time=0:08:16.55-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=MandAutoCritInZ function=ident passes=1 center-mag=+0.5921467994425457/+0.2897262397443035\ /2.758e+011/1/137.5/0 params=1/3.5/-1.4/1.5/0/0/0/0 float=y maxiter=3600 inside=bof61 periodicity=6 colors=000VPVVQVVRVVTVVUVVVVVXVVYVVZVV`VVaVVbVVdVV\ eVVfVVhVViVVjVVlVVmVVnVSgSQ`Q000LNLJGIH9GF3EE4DE4C\ E4CE4BE4BE4AE49D49D48D48D47D46D46D45C45C44C43C43C4\ 2C42C41C41G57K6DO6IS7OW8U_8Zc9df9ic8f`7dY6bV5_S4YP\ 3WM2TJ1RG0PE2VC4`B6f98j7Am6Br5Ak5Aj5Ai49h48k48n37u\ 37t36u26v25w25x2By7CzCOzGLzLXzPWzUgzZfzbpzgpzmtzms\ wprtoosrmtrkusivugwvexwdyubxt`wsZwrXvqWvoUunSumQtl\ PtkNsjLshJrgIrfGqeEqdCpcBpeAmfAkhAhi9fk9cl9ahAbeBb\ bBc_CcXDcTDdQEdNFdKFeHGeEGewXUmwJhwIcwHZwHUwGPwFKw\ FFwEGwEHwDJwCKwCMwBNwBPwAQw9Rw9Tw8Uw8Ww7Xw6Zv6_v5`\ v5auBbuGcuMduRduXetaftggtlhtrhtwfpvemvcjubgu`ct_`t\ ZYsXVsWSrUOrTLqRIqQFp000RBnSAlT9jU8hV7fX6dY5bZ4`_3\ Z`3XZ6ZX8_WB`UDaTGbRIcQLdONfMQgLShJViIXjG_kFalG`jG\ `hG`fH_dH_cH_aI__IZYIZWJZVJZTIYRIYPHYNGYMJVKMSIPQG\ TNETFCVHBXE9YC7_A5`73a52a73`94ZB5ZD5WF6VH7SI7QK8PM\ 9NOAMQAQSBQKUPKVPKWQMVQNV } 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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<Mike> I enjoyed your: Many Happy Buggy image.
by Hal Lane 16 May '11

16 May '11

Mike, I enjoyed your: Many Happy Buggy image. Thanks for posting the link! "I was looking around in Jim Muth's FOTD for May 15, 2011 and I found a lot of interesting stuff. There was one area that looked kind of like an airplane wing. I kept adjusting things until it turned into an insect. The name Many Happy Buggy is a play on Jim's Many Happy Returns. The find was too lucky to only be seen once, so I decided to post it. Here is a link to a web page with an image: http://www.fracton.org/fmlposts/many_happy_buggy.html " - Hal Lane ######################### # hallane(a)earthlink.net # #########################

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FOTD 16-05-11 (Demon of the Dark [8])
by Jim Muth 16 May '11

16 May '11

FOTD -- May 16, 2011 (Rating 8) Fractal visionaries and enthusiasts: The version of today's discussion posted on the FOTD web site contains mature material about things that those with delicate constitutions may prefer to avoid thinking about. In keeping with the theme of grimness, today's image is a dark one indeed, which I named "Demon of the Dark". It features two glowering demonic-green eyes glaring from the surrounding dark- ness, which itself appears to seethe with unimaginable sinister activity. Actually, the two eyes are two different types of order 3.5 minibrots lying in the positive X-axis area of the (-Z)^(3.5)+C Mandeloid. The rating of an 8 might be a bit liberal, but the image went along with my mood of the day so well that I might have exaggera- ted the rating a bit. The calculation time of 2-1/3 minutes borders on slowness. The nuisance of calculation may be avoided however by viewing the finished image on the FOTD web site at: <http://www.crosscanpuzzles.com/Archives.html> Or in hi-def at: <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> The entire library of FOTD's prior to November, 2010 may be accessed at: <http://www.Nahee.com/FOTD/> Heavy clouds with showers of rain and occasional threats of thunder made Sunday less than ideal for outdoor activities here at Fractal Central. The fractal cats, perhaps picking up the overall gloomy feeling, spent most of the day sleeping and the rest of the day confronting a stray tomcat who found shelter on the back porch. I, the fractalist, made the best of things. FL, the gardener, spent the day working her garden, looking for all the world like a mud-nymph. The next FOTD, almost certainly a cheerier one, will be posted in 24 hours. Until then, take care, and when things go wrong, search for the bright side of things. If there is no bright side to be found, start complaining. Jim Muth jamth(a)mindspring.com START PARAMETER FILE======================================= Demon_of_the_Dark { ; time=0:02:23.57-SF5 on P4-2000 reset=2004 type=formula formulafile=slices.frm formulaname=MandelbrotMiN passes=1 center-mag=+0.8042605183881186/+0.0001065300352297\ /1.099e+007 params=3.5/0/0/0/0/0 float=y maxiter=2200 inside=255 logmap=219 periodicity=6 colors=0002W_3W`3V`3Va3Ub3Uc4Tc4Ud4Te4Tf4Sf5Tg5Sh5\ Si5Ri5Sj5Rk6Rl6Ql6Rm6Qn6Qo7Po7Qp7Pq7Pr7Or8Os8Nt8Nu\ 8Mu8Mv9Lw9Lx9Kx9Ky9Jz9Jz8Ky8Lx8Lw8Mv8Mu8Nt8Ns8Or8O\ q8Qp8Qo7Sn7Sm7Um7Ul7Wk7Wj7Yi7Yh7Zg7Zf7`e6`d6ac6ab6\ ca6c`6d`6e_6eZ6fY6fX6hW5hV5iU5iT5kS5kR5lQ5lP5mO5cO\ 5cN5cM4cL4cK4cJ4cI4cH4cG4cF4cE4cD4cC4cB4cB3cA3rA3p\ A3o93n93l93k93i83h83g80f1ce8cd7cc7ca7c`7cZ6cY6cX6c\ V6cU5z05z05z04z04z04z04z03z03z03z03z02z02zC2zB2z91\ z81m61m51c40c20c10jYfhXdgWccVbcUacT`cT_bSZaRY_QXZP\ WYPVXOUWNTVMSULRTLQRKPQJOPINOHMNHLMGKLFJKEIJDHHCGG\ CFFBEEADD9CC8BB8AA798687576465454343232121016E9497\ 375253121QOWPSnPRmOQlOUkNUjNTiNSiMWhMVgLVfLUeKTdKS\ dKRcJRbJQaIP`IO_ID_HXUHWUGVXGUWFUVFTVFSUERTEQSDQRD\ PQDOQCNPCMOBMNBLMAKLAJKAIK9IJ9HI8GH8FG7FF7EF7DE6CD\ 6BC5BB5AA59A48947837736625524523413312201100000000\ 0000000000000000000000cz0 } frm:MandelbrotMiN {; Jim Muth b=p1, z=p2, c=p3+pixel: z=(-z)^(b)+c, |z| <= 16 } END PARAMETER FILE=========================================

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Many Happy Buggy
by Mike Frazier 15 May '11

15 May '11

I was looking around in Jim Muth's FOTD for May 15, 2011 and I found a lot of interesting stuff. There was one area that looked kind of like an airplane wing. I kept adjusting things until it turned into an insect. The name Many Happy Buggy is a play on Jim's Many Happy Returns. The find was too lucky to only be seen once, so I decided to post it. Here is a link to a web page with an image: http://www.fracton.org/fmlposts/many_happy_buggy.html The parameter file used to make this image is below: Many_Happy_Buggy { ; Exported from Fracton. ; Many_Happy_Buggy by Mike Frazier ; Based on Jim Muth's FOTD for ; 20110515 Many_Happy_Returns reset=2004 type=formula formulafile=fracton.frm formulaname=SliceJulibrot5 passes=1 float=y center-mag=-1.746310973822129/6.542081035442777e-0\ 9/296296.3/1/-90/0 params=0/0/0/0/0/0/0/0/2.0035/0 maxiter=1500 inside=0 logmap=62 periodicity=6 colors=000HEWCAO87G438fGaWCSL8JA490000000000000000\ 000000000000000000FG0AB055IcM9KBixhGXLAME5B7gSg_N_\ TITMEME9E747q25JqSC_I6I9j8hd7bZ6XT5SN4MH3GB2B5150r\ i0g_0XR0MI0B92bR1JDaOIVKFPGCJC9C866436jdWP6LG4A82O\ TLKOIHKFDGCeHKgEGiBCk88fABbBDZCFVDHQEKMFMIGOEHQiUF\ mj5tm8jgBk_ElZGkaIkdJjgLjjMimOipPhsRhvSbuVXtYSs`Ms\ cGrfBqi5pl0poOMvPSrQYnRbjShgTmcUs_UxXTmXTcXTUXTKXT\ AXQQcNejLtpMqqNnrOksOhsPetQbuQ_uSXtUVtWSsYQs_Nr`Lr\ 8X3AZAC_HDaOFbVHdaIehKgoLhvQcvV_vZWvcRvgNvlJvpFvjD\ qeBm`9hW8dQ6`L4WG2SB1O75L48J1BHSCOrDUhAP_8KR6FI4A3\ 10925`jcOVQCFDm3Kc2GU1CK18A041cM0QE0D7xv7pn6hg5a_4\ UT3MM2FE1770nholvM_gGOTBCE5sbmiWd`QXSJPIDG968ApC8g\ A6Z85Q63H4182GwmDneBeZ9YS6PL4HE287gY1h0k`0cU0cM0cF\ 0m70muDmgJm`GmVDmPAmI8mC5m62mhz5_z4Rz3Iz29z1GzVAzK\ 5zAtzRlzNezKZzGSzDLzAEz67z3zzwzzUzzszzkzzczzWzzOzz\ Gzz8zzhzzXzzMzzBzzszzkzzc } 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 } -- Mike Frazier www.fracton.org

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FOTD 15-05-11 (Many Happy Returns [6])
by Jim Muth 15 May '11

15 May '11

FOTD -- May 15, 2011 (Rating 6) Fractal visionaries and enthusiasts: Today's discussion is brief because an antiquing trip did happen on Saturday. The image turned up when I decided to see if any rectangles exist in the (-Z)^(2.003)+C Mandeloid. I found no rectangles but I did find some interesting other stuff. Today's image is a sample of that 'stuff'. Most of the effect is due to the high-contrast color palette. It takes more than sharp colors to create a great fractal however, so I could rate the image no higher than a 6. The name "Many Happy Returns" has nothing to do with the image. In fact, I have no idea why I chose it. The words just kind of popped into my head when I shut off everything else. The included parameter file calculates in one minute. Those who do not calculate will find the finished image posted 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 original web site with the entire library of past FOTD's is at: <http://www.Nahee.com/FOTD/> My plans are to eventually post all the past images on my own web site, but judging from the way things are presently going, I may never finish the job. Heavy clouds and a temperature of 63F 17C cast a pall over Fractal Central on Saturday. The rain was barely enough to dampen the sidewalk, but it did dampen the spirits at the fair for the benefit of the local volunteer fire company. The fractal cats, who were left alone all afternoon, had their spirits dampened also, and gave the humans a sound scolding when they returned. The next FOTD will be posted in 24 hours. Until then, take care, and some claim that everything is a dream. If this is so, then who or what is the dreamer? Jim Muth jamth(a)mindspring.com START PARAMETER FILE======================================= Many_Happy_Returns { ; time=0:01:06.24-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=SliceJulibrot5 center-mag=-1.746803722\ 297722/+0.00001106402990913/2.52e+007/1/-57.5/0 params=0/0/0/0/0/0/0/0/2.003/0 float=y maxiter=1500 inside=0 logmap=198 periodicity=6 colors=000HEWCAO87G438fGaWCSL8JA49ipk8rs1I60D40930\ 411ch0Zb0UX0PS0KM0FG0AB055IcM9KBixhGXLAME5B7gSg_N_\ TITMEME9E747q25JqSC_I6I9j8hd7bZ6XT5SN4MH3GB2B5150r\ i0g_0XR0MI0B92bR1JDaOIVKFPGCJC9C866436jdWP6LG4A82O\ TLKOIHKFDGCeHKgEGiBCk88fABbBDZCFVDHQEKMFMIGOEHQiUF\ mj5tm8jgBk_ElZGkaIkdJjgLjjMimOipPhsRhvSbuVXtYSs`Ms\ cGrfBqi5pl0poOMvPSrQYnRbjShgTmcUs_UxXTmXTcXTUXTKXT\ AXQQcNejLtpMqqNnrOksOhsPetQbuQ_uSXtUVtWSsYQs_Nr`Lr\ 8X3AZAC_HDaOFbVHdaIehKgoLhvQcvV_vZWvcRvgNvlJvpFvjD\ qeBm`9hW8dQ6`L4WG2SB1O75L48J1BHSCOrDUhAP_8KR6FI4A3\ 10925`jcOVQCFDm3Kc2GU1CK18A041cM0QE0D7xv7pn6hg5a_4\ UT3MM2FE1770nholvM_gGOTBCE5sbmiWd`QXSJPIDG968ApC8g\ A6Z85Q63H4182GwmDneBeZ9YS6PL4HE287gY1h0k`0cU0cM0cF\ 0m70muDmgJm`GmVDmPAmI8mC5m62mhz5_z4Rz3Iz29z1GzVAzK\ 5zAtzRlzNezKZzGSzDLzAEz67z3zzwzzUzzszzkzzczzWzzOzz\ Gzz8zzhzzXzzMzzBzzszzkzzc } 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=========================================

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Recent FOTD's
by Brian Prentice 14 May '11

14 May '11

Jim, Your recent postings have been exceptional. Here are 6 more details from the area you have been describing: http://linuxenvy.com/bprentice/Fractals/Set%2016/BP_16_01a.png http://linuxenvy.com/bprentice/Fractals/Set%2016/BP_16_01b.png http://linuxenvy.com/bprentice/Fractals/Set%2016/BP_16_01c.png http://linuxenvy.com/bprentice/Fractals/Set%2016/BP_16_01d.png http://linuxenvy.com/bprentice/Fractals/Set%2016/BP_16_01e.png http://linuxenvy.com/bprentice/Fractals/Set%2016/BP_16_01f.png Brian Prentice

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FOTD 14-05-11 (Cubic Action [7])
by Jim Muth 13 May '11

13 May '11

FOTD -- May 14, 2011 (Rating 7) Fractal visionaries and enthusiasts: The classic Mandelbrot set might be the greatest of all fractals, but let's not forget the Z^3+C Mandeloid, the cubic figure, which is almost as great and in addition holds some features with no analog in the classic set. To be honest, the parent fractal of today's image is not exactly the Z^3+C Mandeloid. It is the Z^(3.003)+C Mandeloid. The differences are very small however, and I'm sure that a virtually identical scene could be found in the pure Z^3 set. I stumbled upon the scene by accident while searching for rectangles in the Julia sets. Instead of rectangles, I found today's image, a fair consolation prize. When all the pluses and minuses were figured in, I gave the image a rating of a 7. The name "Cubic Action" needs no explanation. The calculation time of 3-1/2 minutes is a small drag, but why worry about running a parameter file when the finished image may be viewed already calculated on the FOTD web site at: <http://www.crosscanpuzzles.com/Archives.html> The image is available in glorious high-definition 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/> A heavy gray overcast and temperature of 66F 19C muffled things here at Fractal Central on Friday the 13th. The fractal cats, not believing in bad luck, took things in stride, and worked off their excess energy chasing each other up and down the hallway. The humans had another un-notable day, where everything went along pretty much according to schedule. The next FOTD will be posted in 24 hours. As always, if an antiquing expedition comes up on Saturday, the next FOTD might be late. Until next time, take care, and if the solutions to the world's problems are as simple as some people say, why haven't the problems been solved? Jim Muth jamth(a)mindspring.com START PARAMETER FILE======================================= Cubic_Action { ; time=0:03:31.19-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=SliceJulibrot4 passes=1 center-mag=-1.096032374971432/-0.000000000036281\ 81/6.781329e+011 params=0/0/0/90/0/0/0/0/3.003/0 float=y maxiter=2700 inside=0 logmap=428 periodicity=6 mathtolerance=0.05/1 colors=00090`80a70a90_A0ZC0YD0XF0WG0VI0UJ0TL0SM0RN\ 0QO0PO0PP0PP0OP0OQ0OQ0OQ0NR0NR0NR0NO0QL0SI0UF0WC0Y\ 90_C0bF0dI0gL0iO0lR0nU0qX0s_0vb0xc0sc0na0j`0d_0__0\ U_0OZ0RX0UU0XR0_O0`K0bG0dC0f80g90i50k10m30n60lD0jF\ 0hH0fJ0dL0cN0cP0bQ0aR0_S0YT0WV0UX0SV0QT0OR0MP0KN0K\ L0KK0KI0KG0KF0KF0KC0KB0KA0KC5PDAUEFZEKcFPhGUmHSlHR\ kIPjJNiKLhKJgLHfMFeNDdNCcRLXVTQZaKbiDfq7bkD_fIW`OT\ WTQRYRU_RW`RYaR_bRacRcdSefSggSihSkiSmjSokSqlQniPlf\ OjdNhaMfZLdXKbUI_RHYPGWMFUJESHDQECOCEQEFSGHTIIVKJW\ MLYOMZQO`SPaUQcWSdYTf_UgaSibQjbPlcNmcModKpdIqdHseF\ teEvfCwfBxfUmiccchhhmmmooorrrtttwwwvwzuuuptpnormqn\ jnkgkhdgeadb_a_TXWMSTFOQHWWJcaLkfOlcQlaTlZVmXXmV_m\ SamQcnOfnLhnJjnHhkFghEffCdcBc`9bZ8c`7da7db7ec6ed6f\ e6ff5gg5gh5hi4hj4ik4il4hm8gmBfmzemzdmzcmzbmzanz`nz\ _nzZnzYnzXnzWnzVzzUzzUzzTzzmzzmzzmzzmzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzz } 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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<Jim>Is the rectangle somewhere in this image?
by Hal Lane 13 May '11

13 May '11

Jim, You said, in your FOTD -- May 13, 2011 (On-Stage Pyramids): > ...the rectangle is located at the top of the central > pyramid, where it butts against the ceiling. I wasn't able to tell for sure where the rectangle was. I did a zoom into the top of the pyramid in your FOTD. I put it in the file: F110513A.gif on this page: http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd_2011_05_May.html or: http://tinyurl.com/top-of-pyramid-in-F110513A Is the rectangle somewhere in this image? - Hal Lane ######################### # hallane(a)earthlink.net # #########################

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FOTD 13-05-11 (On-Stage Pyramids [7])
by Jim Muth 12 May '11

12 May '11

FOTD -- May 13, 2011 (Rating 7) Fractal visionaries and enthusiasts: Today's image shows the curious rectangle in its Parabolic aspect. Well, it's not exactly the Parabolic view, since the slice is rotated 30 degrees toward the Julia orientation. It might be difficult to pick out the rectangle at first glance. Actually, the rectangle is located at the top of the central pyramid, where it butts against the ceiling. A good part of the image, including the pyramids, consists of 'inside' stuff made visible by the 'bof61' inside fill. The 'outside' stuff fills the top part of the frame. I named the image "On-Stage Pyramids" when I had the impression of a theater stage filled with living pyramids performing their routine. But performing pyramids can be a rather dull act to watch, so I could rate the image no higher than a 7, which BTW is FOTD average. The calculation time of 2-1/2 minutes may be avoided by viewing the completed image on the FOTD web site at: <http://www.crosscanpuzzles.com/Archives.html> The high-fefinition version is posted at: <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> And the original FOTD web site may be accessed at: <http://www.Nahee.com/FOTD/> If I had three wishes, and it was forbidden to wish for extra wishes, the first wish would be to gain the ability to visualize the fourth spatial dimension without resorting to the trick of using time as the fourth dimension. I know all the parts of simple 4-D objects such as the hypercube and hypersphere, but even after all these years I am unable to connect the parts into a single hyper-object. Then I wonder how a person would react if they suddenly found themselves with a 4-D body living in a 4-D world. If they could survive the sensory overload, would they recognize the things they previously could picture only one 3-D section at a time? Would they recognize a hypercube or hypersphere, and what about that strange 4-D object with no analog in 3-D space, the 24-cell? How would they cope with the experience of walking on a planet where the horizon appears as a sphere surrounding them in all directions, even the directions we in 3-D space call up and down? Oh well, I guess it's a nice dream. Too bad I'll never be able to fulfill it. It's all very frustrating, so to whom do I complain about this inability to visualize the higher spaces that physicists are now claiming actually exist? Spring was in full swing here at Fractal Central on Thursday, as the temperature reached 79F 26C under bright sun. The fractal cats spent the day chasing the sun around the kitchen floor. The humans had one more in a long series of typical days, which seem to pass with nothing worth telling taking place. It should hardly be necessary to tell that the next FOTD will be posted in 24 hours. Until then, take care, and seek the answer where you least expect to find it. Jim Muth jamth(a)mindspring.com START PARAMETER FILE======================================= On-Stage_Pyramids { ; time=0:02:37.36-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=SliceJulibrot4 passes=1 periodicity=6 center-mag=0/0.00603022/67.66976/0.1261/180 params=-30/90/90/0/-1.7435/0/0.00019/0.07388/2.003\ /0 float=y maxiter=750 inside=bof61 logmap=yes colors=0008FF9EG9EH99NADKADLACMBCNBBOBBPCARCASD9TD\ 9UD8VD5YE7YE7ZF6_F8`DA`FC_HEYIGZKIYLKWNMVPOUQQSSSR\ TTPVUEWWDYYB__A`a8bc7ce5eg4gi3ik1kl0mm0on0qo0sp0uq\ 0wt0zw0zz0zw0zu0zs0zq0zo0zm0zk0zi0zg0ze0yc0xa0w_0v\ Y0uW0tU0sS0rQ0rO0rM0rK0sJ0sI0sH0sF0sE0tD0tC0tB0tA0\ t90t80u70u70u70u70u70u70u70u70u70u70u70u70u70u70u6\ 0u60u60u60u60u60u60u60u60u60v60v60v60v60v50v50v50v\ 50v50v50v50v50v50v50v50v50v50v50v50v40v40v40v40v40\ w40w40w40w40w40w40w40w40w40w40w40w40w40w40w40w40w4\ 0w40w40w40w40w40w40w40t40r50o60m70k80Kb6Kb6Ka6Ka6K\ a6Ka6K`6K`6K`6K_6K_6K_6K_6LZ6LZ6LZ6LY6LY6LY6LX6LX6\ LX6LX6LW6LW6MW6MV6MV6MV6MV6MU6MU6MU6MT6MT6MT6MT6MS\ 6NS6NS6NR6NR6NR6NR6NQ6NQ6NQ6NP6NUUNUUNUUOUUOUUOUUO\ UUOUUOUUOUUOUUOUUOUUOUUOUUPUUPUUPUUPUUPUUPUUPUUPUU\ PUUPUUPUUPUUPUUQUUQUUQUUQUUQUUQUUQUUQUUQUUQUUQUUQU\ UQUURUURUURUURUURUUWC6WB6 } 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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<Brian>That's a great set of images!
by Hal Lane 12 May '11

12 May '11

Brian, That's a great set of images! And really super colors, too! Am I correct in assuming that the images are 256 color images? - Hal Lane ######################### # hallane(a)earthlink.net # ######################### ----- You Wrote: ------------------------------ Author: Brian Prentice Date: 2011-05-11 08:53 -400 To: Fractint and General Fractals Discussion Subject: [Fractint] Recent FOTD's Jim, Your recent postings have been exceptional. Here are 6 more details from the area you have been describing: http://linuxenvy.com/bprentice/Fractals/Set%2016/BP_16_01a.png http://linuxenvy.com/bprentice/Fractals/Set%2016/BP_16_01b.png http://linuxenvy.com/bprentice/Fractals/Set%2016/BP_16_01c.png http://linuxenvy.com/bprentice/Fractals/Set%2016/BP_16_01d.png http://linuxenvy.com/bprentice/Fractals/Set%2016/BP_16_01e.png http://linuxenvy.com/bprentice/Fractals/Set%2016/BP_16_01f.png Brian Prentice ------

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FOTD 12-05-11 (It Has No Symmetry [8])
by Jim Muth 12 May '11

12 May '11

FOTD -- May 12, 2011 (Rating 8) Fractal visionaries and enthusiasts: Today's image is a view of the curious Julia rectangle as it appears in the Oblate plane, which is determined by the real(Z) and imag(C) axes. When viewed from this angle and given an appropriate amount of stretching and skewing, the rectangle pretty much retains its rectangular shape. The name "It Has No Symmetry" accurately describes the image. At first glance, the image does indeed appear to have origin symmetry, but a close inspection will reveal small discrepancies. The rating of an 8 could have been a half point or so higher if I had not re-used a previous color palette. The calculation time of 3 minutes is well within reason, but all the fuss and bother that goes with setting up and calculating a parameter file may be forgotten by viewing the finished image on the FOTD web site at: <http://www.crosscanpuzzles.com/Archives.html> The image may be seen in hi-def at: <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> Paul's original FOTD web site may be accessed at: <http://www.Nahee.com/FOTD/> I find the inability of the human mind to visualize the fourth dimension most curious. Computers have no problem converting the math of the fourth dimension to spatial coordinates and manipulating the resulting spatial figures exactly as they do with everyday 3-D figures. It would even be possible to construct a monitor with a 3-D viewing surface, ready to be enjoyed by a 4-D viewer. Unfortunately, a normal 3-D man with his 2-D retinas would be able to view such a screen only from the 'edge-on' direction and would be unable to enjoy the 4-D show any more than he could enjoy viewing a normal flat screen edge on. Why are we limited to visualizing three dimensions, when such fascinating things as double rotation and undistorted Klein bottles exist only one dimension higher. It is impossible for us to imagine even a 2-D flatland or a 1-D line without automati- cally mentally embedding these lesser spaces in a surrounding 3-D space. The limitation is not due to the math, which merely grows more tedious as the number of dimensions increases, with nothing of a totally new nature appearing. There is a theory, not entirely scientific, that our inability to visualize 4-D figures is a limitation of our level of con- sciousness, which is stuck at the 3-D level. This would imply that a being with a higher level of consciousness might be able to visualize the fourth dimension, or might even interpret the sensory impressions of the world he lives in as possessing four spatial dimensions. If so, he would not be around too long to enjoy his advantage. Stable planetary orbits are impossible in a space of four dimensions with its inverse-cube law, and if our math is correct, a planet in 4-D space would either spiral into its star or spin off into interstellar space. But then again, maybe a 4-D man would have different laws. The days keep getting better here at Fractal Central. Wednesday featured cloudless skies, gentle breezes and a cat-pleasing temperature of 77F 25C. The fractal cats, totally pleased, spent the day sleeping and dreaming of what they might do if they ever get to go outside. The humans had more mundane things to attend to. The next FOTD will be posted in 24 hours. It will likely be another view of the rectangle. There is still much yet to be discovered in the vicinity. Until then, take care, and Nostradamus says the world will end in 589 days. It's got ME worried. I thought we had 5-1/2 billion years. Jim Muth jamth(a)mindspring.com START PARAMETER FILE======================================= It_Has_No_Symmetry { ; time=0:03:04.77-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=SliceJulibrot4 passes=1 center-mag=0/0\ /1130/0.02072/0/77 params=0/90/90/90/-1.7435/0/\ 0.00019/0.07388/2.003/0 float=y maxiter=15000 inside=0 logmap=62 symmetry=none periodicity=6 colors=000FDHFDJFELFCNFCPFCRGCSIETKGUMIXOK_QLbSNeU\ OhWQkYSm_ToaUqcTseSugRuiRukQvmPvoOvqOvpStrWst_rvcq\ xhpzmozrpzvszzvzzzzzzzzzzzzzzvzzrzzmzzgzzdzyazxazw\ azw`zv`zu`zt_zt_zs_zr_zqZzqZzpZzoYznYznYzmYzlXzkXz\ kXzjWziWzhWzhWzcSzZOzUKzPGvKCrF8mB5hC8cDBZEEUFHPGK\ OGMRHPUISXJV_KYaK_dLbgMejNhmOkoOmmRkkTjiVhgXgfZed`\ dbbb`daZf_YhZgh_ph_dcTTZMHUF5P99SEDUJHXOLZTO`XN_YN\ ZYNYYNYYNXYNWZNWZNVZNUZNUZNTZMS_MS_MR_MQ_MQ_Q9mQ9m\ P9cP9cO9cOAcNAcNAcMAcMAcLAcLAmKAmKAcJAcJAcIBcIBcHB\ cHBcGBcGCcFDcFEcEFcEGcDHcDIcCJcCKcBKcAKmAKmAKm9Kz9\ Kz8Kz8Kz7Kz7Kz6Kz6D65D65D54D54D53D53D42D42D42D47U8\ CiCHyGGzFGzFGzFGzFGzFGzFFzFFzFFzEFzEFzEFzEFzEEzEEz\ EEzEEzDczDczDczDczDczDczDczDczCzzCzzCzzCzzCzzCzzCz\ zCzzBzzBzzBzzBzzBzzBzzBzzBzzBzzmzzmzzmzzmzzmzzmzzm\ zzmzzmzzmzzmzzmzzmzzmzzmzzmzzzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzz } 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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Re: [Fractint] Multi-tasking with FracTint
by Jay Litwyn 11 May '11

11 May '11

It turns out that running fractint in different directories does not solve the problem of cross-talk between concurrent copies of fractint, either. I did not examine my test on running fractint in different directories very thoroughly. I still think that FracTint is using a static name for a temporary file. Perhaps it is being created in FracTint's home directory.

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FOTD 11-05-11 (Rectangular Spiral [8.5])
by Jim Muth 11 May '11

11 May '11

FOTD -- May 11, 2011 (Rating 8.5) Fractal visionaries and enthusiasts: In yesterday's discussion I remarked that some of the rectangles in this area of the Julibrot are not empty, but filled instead with some kind of stuff. In today's image I give a sample of what this 'stuff' looks like close up. The name of the image is "Rectangular Spiral", and this indeed is what I found inside one of the rectangles a short distance off of the X-axis. (The farther from the X-axis a rectangle is located, the more distorted it becomes, and the more it fills with debris.) Today's image is filled from stem to stern with rectangles of all sizes and shapes, the whole assemblage forming a kind of infinite square spiral. And the elements in the large spiral are filled with smaller square spirals, all the way down. The rating of an 8-1/2 indicates that I consider the image well above average, and includes a half-point coloring bonus. If I had found a minibrot in the scene, I would have raised the rating to 9-1/2. (Minibrots probably are in there, but found well beyond resolution.) The calculation time of 2 minutes may be bypassed by viewing the finished image on the FOTD web site at: <http://www.crosscanpuzzles.com/Archives.html> Those who prefer their fractals in high-definition will find their wishes granted 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/> Near perfect conditions prevailed here at Fractal Central on Tuesday -- total sun, light winds and a temperature of 73F 23C. The fractal cats slept through most of the good weather. OTOH, the humans worked through most of the day, taking time out in the garden to enjoy the pleasant weather. The next FOTD is due to be posted in 24 hours. Most likely, it will appear on schedule. Until then, take care, and sometimes I get a vague, gnawing feeling that the scientific description of life misses something very important. Jim Muth jamth(a)mindspring.com START PARAMETER FILE======================================= Rectangular_Spiral { ; time=0:01:59.51-SF5 on P4-2000 reset=2004 type=formula formulafile=slices.frm formulaname=MandelbrotN passes=1 center-mag=-1.743\ 60412337577/+0.00025982861177705/1.34392e+010/1/\ -5.08/0 params=2.003/0/0/0/0/0 float=y maxiter=1800 inside=255 logmap=250 periodicity=6 colors=000HahHbiIbjIckJclJcmLdnMdnNenPenQeoRfoTfoU\ foVgpWgpYgpZhp_hqahqbgqbgobgkafiZfbWeXTcQPaLK_DIY7\ HX1EY0IZ0Ma0Pd0Tg0Wj0_m0bp0fs0iv0gt0eq0do0bl0aj0_g\ 0Ze0Xc0Wb0U`0TZ0RX0QV0OT0NR0LP0KO0MQ0OS0QU0SW0TY0V\ _0Xa0Zc1_e2ag3ci4ek5fm5ibAlTEoIJq8No7Pm7Qk7Si7Tg7V\ e7Wc7Ya7Z_7`Y6aW6cU6dS6fQ6gO6idGAcGAbGAbGAaGA`HA_H\ AZHAYHAXHAXHAWHAVHAUIATIASIASIARIAQIAPIAOJANJAMJAM\ JALJAKJAJJAIJAHKAHJAGIAFHAEGADFACFABGABGAAGH9GG8GG\ 7GF6GA2IA4HA5HA6GA7GA8GA9FABFACFADEAEEAFDMAFAAFAAF\ AAFAAFAAFAAFAAFAAFAAFAAFAAFAAFAAFAAFAAFAAFAAFAAFAA\ FAAFAAFAAFAAFAAFAAFAAFAAFAAFAAFAAFAAKPAKPAKPAKPAKP\ AKPAKPAKPAKPAKPAKPAKPAKPAKPAKPAKQAKVAKVAKVAKVAKVAK\ VAKVAKVAKVAKVAKVAKVAKVAKVAKVAKVJKVJKVIKVIKVIKVIKVI\ KVIKVHKVHKVHKVHKVHKVHKVGKVGKVGKVGKVGKVGKVFKVFKVFKV\ FNVFKVFNVEMVEMVEMVEKVEKVEKVEKVFKUFKUGKTGKTHKSHKSIK\ SIKRJKRJKQKKQKKQKKPLKPLKO } frm:MandelbrotN {; Jim Muth b=p1, z=p2, c=p3+pixel: z=z^(b)+c, |z| <= 16 } END PARAMETER FILE=========================================

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FOTD 10-05-11 (Little Lost Midget [9.5])
by Jim Muth 10 May '11

10 May '11

FOTD -- May 10, 2011 (Rating 9.5) Fractal visionaries and enthusiasts: With today's FOTD we remain in the rectangle-infested area of the Z^(2.003)+C Mandeloid, where I found another minibrot surrounded by rectangles. This minibrot is a notable improve- ment over yesterday's however. The fractal features are better, the colors are better, and the rectangles are far more apparent. Add all this together and the rating leaps to a 9.5. If I had put more work into the colors, the rating might have been a 10. In yesterday's discussion I said today's image would feature one of the rectangles that were barely visible in yesterday's image. I calculated the image as promised, but before making it the FOTD for today, I discovered today's actual image, which is much better. I also discovered that some of the rectangles in this area of the Julibrot are not empty inside, but are filled with a curious kind of chaos that promises to hold more unexpected fractal wonders. Perhaps one of these filled-in rectangles will appear as tomorrow's image. The name "Little Lost Midget" describes the minibrot at the center of today's scene. This name actually came to mind a bit too easily, which leads me to wonder whether I have already given a previous FOTD this same name. The calculation time of just under 2 minutes is near FOTD average. And as always, this time may be saved by surfing to the FOTD web site at: <http://www.crosscanpuzzles.com/Archives.html> where the completed image is posted. The hi-def version is posted at: <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> and the original classic web site is available at: <http://www.Nahee.com/FOTD/> Monday turned into a repeat of Sunday here at Fractal Central, with blue skies, puffy white clouds and a temperature of 70F 21C. The only flaw was a wind that was a little too fresh. The fractal cats held contention among themselves to a minimum, which usually means they approve of the conditions. The activity in the human department was routine, leaving little to comment on. The next FOTD will be posted in 24 hours. Until then, take care, and some saints claim to have seen heaven. Does this prove that some saints are delusional or that heaven does in fact exist? Or does it merely show that we don't know? Jim Muth jamth(a)mindspring.com START PARAMETER FILE======================================= Little_Lost_Midget { ; time=0:01:49.18-SF5 on P4-2000 reset=2004 type=formula formulafile=slices.frm formulaname=MandelbrotN center-mag=-1.743376947951\ 349/-0.00000003690941144/8.351134e+010/1/70/0 params=2.003/0/0/0/0/0 float=y maxiter=1900 passes=1 inside=0 logmap=304 periodicity=6 colors=00080JB0JC0JF0IH0KK0LM0MP0MS0NU0MW0OY0P`0Qb\ 0Pe0Pg0Pb0M_0JV0GS0EN0BK09F07C04A01500200000000010\ 0200200700B04E3AI7HLDNQJUTO_YUg`_nedthktmqtpstnmtm\ bokVhiMchEgmLjrPnwVqzZtzftzktzprzknzggxdbt_YnXSiUN\ eRI`MCVJ8OG4IB0D907601304906D07J28O5AU8BZBBdEBiHBp\ KBsNBsQBsUEsVHsWKsYLs`OsbSscVseWsh_sjaslesnfsqisrm\ stpstrzhszaszQszBtz0zl4zfIzXYzNtzEtzzzzzzzztksUePU\ _RUTTUNUUHV1rz2nz4mz4kz5hz5fz7ek8ci8`fA_dAYbBW_CTZ\ CSVEQUEOTIQRMQPPQPUSOWSO_SMcTMgTLjTLncLqnLrxLnpJji\ HgcGcYGtSEtLDzEBz8Bz2Az09z07z07oHbhIbcKb_KbVLbPLbK\ NbFNbBOb5Ob1Qs0Qs0Ss0Ss0Ns0Kq0Hb0EZ0BX08V04T01R00O\ 00L00H00G40GB8HKKUSVUQTPQNMPGJPAEN4BN09M06M01K00K0\ 0K00S00_00qzsoz_npJne3qf0ri0tm0tn0tr0tt0twctxctzct\ zmtzmtzmtzmrzwqzwnzwlzwjzzgzzezzczzbzz`zz_zzYzzYzz\ WzzVzzUzzSzzSzzPzzMzzIzzFzzYzzYzzYzznzznzznzztzztz\ ztzztzztzztzztzztzztzztzz } frm:MandelbrotN {; Jim Muth b=p1, z=p2, c=p3+pixel: z=z^(b)+c, |z| <= 16 } END PARAMETER FILE=========================================

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Re: [Fractint] A meaning for scalemap=0/0/0/0/0/0/0/0/0/0/0/0; silence.
by Bill Jemison 09 May '11

09 May '11

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FOTD 09-05-11 (A Hidden Peninsula [7])
by Jim Muth 09 May '11

09 May '11

FOTD -- April 09, 2011 (Rating 7) Fractal visionaries and enthusiasts: Today's image takes us to the land of the mysterious Z^(2.003)+C Julia rectangles. But today we are not concerned with Julia rectangles. Today we are after bigger game. We investigate the Mandelbrot aspect of the area. In the Mandelbrot orientation, the Julia rectangle corresponds to a tiny peninsula jutting west into a tiny bay on the east shore line of the strait connecting the partially overlapping large minibrots on the infinitely divided main spike of the Z^(2.003)+C Mandeloid. When I first arrived in this Mandelbrot area, I almost gave up. Nothing even remotely resembling a rectangle or a minibrot was visible. But after a short search I stumbled upon a feature with the 2-way symmetry that often indicates the presence of a minibrot. Today's image shows the minibrot that I found. Since Mandelbrot sets are kind of catalogs of all the Julia sets created by a particular formula, today's image should be filled with open rectangles, and indeed they are there, most of them beyond resolution but some well within range. In tomorrow's FOTD a full-blown Mandelbrot rectangle will be featured. The name "A Hidden Peninsula" refers to the tiny peninsula that holds today's scene. The rating of a 7 is FOTD average. The calculation time of 6-1/2 minutes is on the slow side, so I recommend visiting the FOTD web site at: <http://www.crosscanpuzzles.com/Archives.html> to see the finished image without the task of rendering it. The image is available in hi-def at: <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> The original FOTD web site may be found at: <http://www.Nahee.com/FOTD/> BTW, we are considering posting a picture gallery of the cat action here at FOTD. I have been writing of the fractal cats for many years. Now we feel it is about time to give them the exposure they deserve. Saturday brought clouds and rain showers to Fractal Central, while Sunday brought lots of sun and a temperature of 68F 20C, earning the approval of the fractal cats. On the human side of things, nothing went wrong, which makes for a satisfactory day. The next FOTD will be posted in 24 hours. Until then, take care, and before you put your faith in skepticism, think ration- ally about it. Jim Muth jamth(a)mindspring.com START PARAMETER FILE======================================= A_Hidden_Peninsula { ; time=0:06:32.48-SF5 on P4-2000 reset=2004 type=formula formulafile=slices.frm formulaname=MandelbrotN center-mag=-1.743496834151\ 223/+0.00000003977466762/1.077858e+011/1/22.5/0 params=2.003/0/0/0/0/0 float=y maxiter=7500 passes=1 inside=0 logmap=854 periodicity=6 colors=00005U04P03K02F57FCB8JF6QJ4XN2bR0lOTvMtnQqf\ UoZYlRajJegBie3lcKraOnXRkSVgNYdIVcMScPQcSNcWLcZIca\ GcdLWnNYiP_dR`_SbVUdQWeLYgGZhCOQOSTTWWX_Z`cadgdhjg\ loUfsG`w3Vr7VnBVjFVfIVbMVZQVVTVhfRutOsrSqqWooZmnbk\ lfikigimfhpg`WhUCb_AXd9Ri8Ln7Fs6Ax5TtOjpfblbWi_PeX\ IbUBZR4WOARQFNSLJUQFWWBY`7_e3ag7_hBYjEXkIVmLUnPSoS\ Rc_XTgaHof6vkDwlKxlRymYzmczm0iW7jZDk`KlcQleXmhbnji\ omooonihncbnYXnTQnNKnHEnC8kG9iJAfMBdQCaTD_WDtTcfJQ\ TACLFDDJE6NFBKHFIIJGJODKSBLW9MTJQQTUOaXUeRZiMdmHiq\ Bou6ty1oo4jf6fY9aPBYGDWFFUFHSFJQELOENMEPLERJFRHGRA\ 0KPMOYSMgXJpbHygFwYPuPZsGhr7qjCscGtXKuQPwJTxCXy5`z\ CazIblPcfKPU`eTgfNmgGsgAlj8el7Zn5Tp4Mr2Fz1Uz0PcAcM\ Kr4TqOapgiozqnremkVmdKoeIpgHriFsjEulCvmBxo9yp8wqDv\ qHtqLsrPrrUprYosamselsjktnitrhtvgtzftyetydtxctxctx\ btwatw`tv_tv_tzYszWszUrzSrzczzczzczzmzzmzzmzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzz } frm:MandelbrotN {; Jim Muth b=p1, z=p2, c=p3+pixel: z=z^(b)+c, |z| <= 16 } END PARAMETER FILE=========================================

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Re: [Fractint] FOTD 07-05-11 (Gate to the Abyss [8.5]) (Jim Muth)
by JackOfTradeZ＠comcast.net 08 May '11

08 May '11

. loox like a freakin' volcano, complete with lava tube ...... .

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Fractint for windows works once and leaves stale processes around.
by Jay Litwyn 08 May '11

08 May '11

There was a time when it would start reliably. I do not know what changed. Oh...maybe I do. I changed the sstools.ini file for running it with my parameter files. Maybe it would be better if I adapted parameter files to run with default sstools.ini file settings, anyway; formulafile="..\pars\prand.par" I managed to discover that I am using patchlevel eight. I think that's beta five. I am not sure why versions and dates are not identical. There could be initials for the sourceror.

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Re: [Fractint] prand.par
by Jay Litwyn 08 May '11

08 May '11

comment { http://ecn.ab.ca/~brewhaha/finance/ALL_MAPS.ZIP "pkunzip -n ALL_MAPS.ZIP" to avoid overwriting the ones you already hav, because I *know* I changed default.map (and I am tempted to change default.map to diag.map). fractint formulafile=pars\PRAND.PAR I hav no clue why F4W needs that, because that is what I HAD in this parameter file. I changed it back for operation with DOS fractint (in your fractint directory). X-dimension is off by a perfect fourth (4:3) on all parameters with F4W, anyway, so I see no point in adapting my parameter file for F4W. What does "Not For Public Release" mean on the web? You've been warned. Just press @, F6, then select PRAND.PAR } Implohd { ; Formula Public Domain ; formulafile=..\pars\PRAND.PAR z=fn1(pixel), c=fn2(pixel), iter=real(P1): iter=iter-imag(P1) z = z^iter -fn3(z) + c |z| <= |P2| } Xplode { ; Formula Public Domain z=fn1(pixel), c=fn2(pixel), iter=(0,0): iter=iter+P1 z = z^iter+ c |z| <= |P2| } Trank { ; Formula Public Domain z=fn1(pixel), c=fn2(pixel): z = z^P1 -fn3(z^P1) +c |z| <= |P2| } Prand { ; Formula Public Domain z=|scrnpix * flip(scrnmax) / pixel|, z = z*509, temp = z / 257, z = (temp - trunc(temp)) * 257, iter=iter-iter: iter=iter+1 z > iter } comment { Starting here, this file is licensed in the creative commons manner, by attribution, without permission for derivatives. Videos that use my parameters as a starting point or an ending point are not derivatives. Different colourings are derivatives. I do not care what you do with it for use that is localized to your machine, which excludes printing. While this license is not revokable, you may obtain specific permissions; CC-BY-ND from this point forward. } Perfect_Fifth { ; Implohd seems to like musical ratios in P1. ; http://www.huygens-fokker.org/docs/intervals.html ; Chrominance in http://ecn.ab.ca/~brewhaha/img/Fifth.jpg ; 0:00:27.52/megapixel on a 3.2GhzP4 reset=2004 type=formula formulafile=prand.par formulaname=implohd function=ident/sqrt/conj passes=t center-mag=1.70258/0/2.614413/0.8912 params=3/2/8/0 float=y maxiter=255 inside=0 invert=0.00294811320754718/1.58064855205761/0 symmetry=xaxis periodicity=0 colors=0000kzz000czzC00WzzP00Ozz`00Gzzm008zzz000zn\ z0F0zaz0V0zQz0j0zDz0z0z0z0z0q<4>z09z00z00<9>zb0zf0\ zj0<3>zz0<3>Wz0Oz0Gz08z00z0<3>0zW0zb0zj0zr0zz<8>0S\ z0Oz0Kz<3>04z0Bq<3>AYUCbOFhIInCKt6Nz0<3>dz0iz0nz0s\ z0<3>v`0vV0wO0<2>z40<8>Qb0Lf0Hj0<3>0z0<3>0zW0zb0zj\ 0zr0zz<9>0Oz0Kz0Gz<3>00z<3>W0zb0zj0zr0zz0z<4>z0Iz0\ 9z00z00<9>zb0zf0zj0<3>zz0<3>Wz0Oz0Gz08z00z0<3>0zW0\ zb0zj0zr0zz<9>0Oz0Kz0Gz<3>00z<3>W0zb0zj0zr0zz0z<4>\ z0Iz09z00<9>zb0zf0zj0<3>zz0wz0sz0<4>Gz08z00z0<6>0z\ z0vz0sz } Implohd2 { ; 0:01:07.12/megapixel on a 3.2GhzP4 reset=2004 type=formula formulafile=prand.par formulaname=implohd function=sqr/sqrt/cosh passes=t center-mag=-1.63197/1.35447e-014/1.446394/0.5512 params=3/2/8/0 float=y maxiter=255 inside=0 invert=0.0042666666666666/-1.09526462395543/0 symmetry=xaxis periodicity=0 colors=(a)brine.map } Kitty_Lips { ; I pasted this into FaceOfBenwaw to make lips for ; jokers. ; 0:00:30.16/megapixel on a 3.2GhzP4 reset=2004 type=formula formulafile=prand.par formulaname=implohd function=sqrt/recip/conj passes=t center-mag=1.58674/0/1.881523/2.0576 params=7/5/32/0 float=y maxiter=255 inside=0 invert=0.0267621796598816/1.61104163476388/0 symmetry=xaxis periodicity=0 colors=(a)rainboh.map } FaceOfBenwawGM { ; I used it to make a joker. ; 0:00:12.74/megapixel on a 3.2GhzP4 reset=2004 type=formula formulafile=prand.par formulaname=xplode function=log/ident center-mag=0.936447/0/0.345/1.45/90/3.885780586188\ 04789e-016 params=-3/0/4/0 float=y maxiter=1024 inside=0 invert=1.45742001678948/0/0 periodicity=0 colors=000z0zzzz0z0zzzz0z0z0z0z0z0z1z0y0z1z0y0z2z0\ x0z2z0x0z3z0w0z3z0w0z4z0v0z4z0v0z5z0u0z5z0u0z6z0t0\ z6z0t0z7z0s0z7z0s0z8z0r0z8z0r0z9z0q0z9z0q0zAz0p0zA\ z0p0zBz0o0zBz0o0zCz0n0zCz0n0zDz0m0zDz0m0zEz0l0zEz0\ l0zFz0k0zFz0k0zGz0j0zGz0j0zHz0i0zHz0i0zIz0h0zIz0h0\ zJz0g0zJz0g0zKz0f0zKz0f0zLz0e0zLz0e0zMz0d0zMz0d0zN\ z0c0zNz0c0zOz0b0zOz0b0zPz0a0zPz0a0zQz0`0zQz0`0zRz0\ _0zRz0_0zSz0Z0zSz0Z0zTz0Y0zTz0Y0zUz0X0zUz0X0zVz0W0\ zVz0V0zWz0V0zWz0U0zXz0U0zXz0T0zYz0T0zYz0S0zZz0S0zZ\ z0R0z_z0R0z_z0Q0z`z0Q0z`z0P0zaz0P0zaz0O0zbz0O0zbz0\ N0zcz0N0zcz0M0zdz0M0zdz0L0zez0L0zez0K0zfz0K0zfz0J0\ zgz0J0zgz0I0zhz0I0zhz0H0ziz0H0ziz0G0zjz0G0zjz0F0zk\ z0F0zkz0E0zlz0E0zlz0D0zmz0D0zmz0C0znz0C0znz0B0zoz0\ B0zoz0A0zpz0A0zpz090zqz090zqz080zrz080zrz070zsz070\ zsz060ztz060ztz050zuz050zuz040zvz040zvz030zwz030zw\ z020zxz020zxz010zyz000zzz } FaceOfBenwawBY { ; Colouring is different on my other ; joker, to be released as PDF ; 0:00:12.68/megapixel on a 3.2GhzP4 reset=2004 type=formula formulafile=prand.par formulaname=xplode function=log/ident center-mag=0.936447/0/0.345/1.45/90/3.885780586188\ 04789e-016 params=-3/0/4/0 float=y maxiter=1024 inside=0 invert=1.45742001678948/0/0 periodicity=0 colors=00000zzzzzz0zzz00zzz000zzz011zyy011zyy022zx\ x022zxx033zww033zww044zvv044zvv055zuu055zuu066ztt0\ 66ztt077zss077zss088zrr088zrr099zqq099zqq0AAzpp0AA\ zpp0BBzoo0BBzoo0CCznn0CCznn0DDzmm0DDzmm0EEzll0EEzl\ l0FFzkk0FFzkk0GGzjj0GGzjj0HHzii0HHzii0IIzhh0IIzhh0\ JJzgg0JJzgg0KKzff0KKzff0LLzee0LLzee0MMzdd0MMzdd0NN\ zcc0NNzcc0OOzbb0OOzbb0PPzaa0PPzaa0QQz``0QQz``0RRz_\ _0RRz__0SSzZZ0SSzZZ0TTzYY0TTzYY0UUzXX0UUzXX0VVzWW0\ VVzVV0WWzVV0WWzUU0XXzUU0XXzTT0YYzTT0YYzSS0ZZzSS0ZZ\ zRR0__zRR0__zQQ0``zQQ0``zPP0aazPP0aazOO0bbzOO0bbzN\ N0cczNN0cczMM0ddzMM0ddzLL0eezLL0eezKK0ffzKK0ffzJJ0\ ggzJJ0ggzII0hhzII0hhzHH0iizHH0iizGG0jjzGG0jjzFF0kk\ zFF0kkzEE0llzEE0llzDD0mmzDD0mmzCC0nnzCC0nnzBB0oozB\ B0oozAA0ppzAA0ppz990qqz990qqz880rrz880rrz770ssz770\ ssz660ttz660ttz550uuz550uuz440vvz440vvz330wwz330ww\ z220xxz220xxz110yyz000zzz } Ohgohpohgoh_Chromo { ; I think it is playing with a beach ball. ; This is the monster that inhabits Lake Okanagan :-) ; http://ecn.ab.ca/~brewhaha/img/Ohgohpohgoh.jpg ; 0:00:59.82 on a 3.2GhzP4 reset=2004 type=formula formulafile=prand.par formulaname=implohd function=ident/ident/ident passes=t center-mag=+0.70518141923119800/+0.066963188580488\ 66/292.6799/1.6388 params=29/5/8/0 float=y maxiter=255 inside=0 outside=tdis invert=0.139886282696795/0.423398328690808/0 symmetry=xaxis periodicity=0 colors=(a)brine.map } plastest { ; Plasma cannot hav its own map, because that ; means my map does not work. My map does not work, ; unless you load it, again perhaps. ; 0:00:05.44 on a 3.2GhzP4 reset=2004 type=plasma center-mag=0/0/0.6666667 params=37/0/0/0 float=y maxiter=255 inside=0 periodicity=0 colors=(a)rainfreq.map } Biped { ; Looks like a crustacean on two feet. ; http://ecn.ab.ca/~brewhaha/img/Biped.jpg ; 0:00:12.53 on a 3.2GhzP4 reset=2004 type=formula formulafile=prand.par formulaname=xplode function=recip/ident center-mag=0.145878/-1.42109e-014/0.114795/1/-90/3\ .88578058618804789e-016 params=2/0/2/0 float=y maxiter=255 inside=0 invert=0.5/-0.86/0 periodicity=0 colors=000z50zY0zr0qz0Yz00z00zY0zq0rz0Yz00zY0zq0zz\ 0rz0Yz04z50zY0zr0qz0Yz00z00zY0zq0rz0Yz00zY0zq0zz0r\ z0Yz04z50zY0zr0qz0Yz00z00zY0zq0rz0Yz00zY0zq0zz0rz0\ Yz04z50zY0zr0qz0Yz00z00zY0zq0rz0Yz00zY0zq0zz0rz0Yz\ 04z50zY0zr0qz0Yz00z00zY0zq0rz0Yz00zY0zq0zz0rz0Yz04\ z50zY0zr0qz0Yz00z00zY0zq0rz0Yz00zY0zq0zz0rz0Yz04z5\ 0zY0zr0qz0Yz00z00zY0zq0rz0Yz00zY0zq0zz0rz0Yz04z50z\ Y0zr0qz0Yz00z00zY0zq0rz0Yz00zY0zq0zz0rz0Yz04z50zY0\ zr0qz0Yz00z00zY0zq0rz0Yz00zY0zq0zz0rz0Yz04z50zY0zr\ 0qz0Yz00z00zY0zq0rz0Yz00zY0zq0zz0rz0Yz04z50zY0zr0q\ z0Yz00z00zY0zq0rz0Yz00zY0zq0zz0rz0Yz04z50zY0zr0qz0\ Yz00z00zY0zq0rz0Yz00zY0zq0zz0rz0Yz04z50zY0zr0qz0Yz\ 00z00zY0zq0rz0Yz00zY0zq0zz0rz0Yz04z50zY0zr0qz0Yz00\ z00zY0zq0rz0Yz00zY0zq0zz0rz0Yz04z50zY0zr0qz0Yz00z0\ 0zY0zq0rz0Yz00zY0zq0zz0rz0Yz04z50zY0zr0qz0Yz00z00z\ Y0zq0rz0Yz00zY0zq0zz0rccc } Flohped { ; I could almost do this in sixteen colour mode. ; 0:00:30.15/megapixel on a 3.2GhzP4 reset=2004 type=formula formulafile=prand.par formulaname=xplode function=zero/ident passes=t center-mag=-3.23973/-3.55271e-015/0.1226038/2.5525 params=1/0/2/0 float=y maxiter=255 inside=0 invert=0.5/-0.86/0 symmetry=xaxis periodicity=0 colors=(a)rainfreq.map } Pentagonium { ; I tried to make this into the ; barnstar for mathematics on wikipedia. ; http://en.wikipedia.org/wiki/User_talk:Michael_Hardy/Archive6#Maximum_spaci… ; It persisted long enough for one person ; to get it. ; 0:00:25.27/megapixel on a 3.2GhzP4 reset=2004 type=formula formulafile=prand.par formulaname=xplode function=zero/ident center-mag=0.127724/0/0.5/1.3358/90/3.885780586188\ 04789e-016 params=3/0/3/0 float=y maxiter=1024 inside=0 outside=atan invert=1.45742001678948/0/0 periodicity=0 colors=(a)altern.map }

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FOTD 07-05-11 (Gate to the Abyss [8.5])
by Jim Muth 07 May '11

07 May '11

FOTD -- May 07, 2011 (Rating 8.5) Fractal visionaries and enthusiasts: Today we take a return trip to perhaps my favorite of all fractal objects -- the rectangle in the Julia set of the East Valley of the large split-apart minibrot on the infinitely divided main spike of the Z^(2.003) Mandeloid. This rectangle exists in its pure form only in the real(z) and imag(z) directions. In the real(c) direction it quickly shrinks to a dot and totally vanishes. In the imag(c) direction it falls apart at once, without bothering to shrink first. But in some strange manner, it manages to also appear, in an extremely squashed form, in the Rectangular and Oblate planes, where it must be considerably stretched to unsquash it. In today's image we see the rectangle at an orientation halfway between the Julia and the Rectangular, which makes the necessary stretching less extreme. To see other rotations, vary the real(p2) parameter from zero, which will give the Rectangular view, to 90, which will return to the original Julia rectangle. The stretching will need to be adjusted along the way. I named the image "Gate to the Abyss". At this new angle, the rectangle actually does resemble a doorway to a vast unknown. As to what that unknown might be, I leave it to the viewer to determine. To me, it is the fourth dimension. Since I did put extra effort into the coloring, I rewarded myself with a half point bonus for the coloring, bringing the image's rating to a very respectful 8-1/2. With a calculation time of 1-1/3 minutes, running the included parameter file will be a minor chore. The pre-calculated image is posted 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 may be accessed at: <http://www.Nahee.com/FOTD/> Friday began with lots of sun here at Fractal Central. A thin overcast arrived in the afternoon and filtered the sun, though it remained dry. The temperature reached a high of 70F 21C, which pleased the fractal watch cats. They manned their posts in the window, guarding against intruding strays. The day of the humans was reasonable enough. I spent the day scrounging up fractals, while FL passed the day recuperating from Thursday's garden work. The next FOTD is due to be posted in 24 hours. But sometimes Saturday brings a trip to a local antique emporium, so do not be concerned if the FOTD for May 08 is late. Until whenever, take care, and was it a fully rational scientist or a crackpot mystic who claimed that the world we observe around us is surrounded by other invisible worlds? Jim Muth jamth(a)mindspring.com START PARAMETER FILE======================================= Gate_to_the_Abyss { ; time=0:01:23.65-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=SliceJulibrot4 center-mag=0/-0.0087045\ 7782794517/71.66298/43.054/180 params=90/0/45/90/\ -1.7435/0/0.00019/0.07388/2.003/0 float=y logmap=62 maxiter=60000 inside=0 symmetry=yaxis periodicity=6 colors=00040661982CA4FC6IE8LGAOICRKEUMGXOI_QKbSMeU\ OhWQkYSm_ToaUqcTseSugRuiRukQvmPvoOvqOvpStrWst_rvcq\ xhpzmozrpzvszzvzzzzzzzzzzzzzzvzzrzzmzzgzzdzyazxazw\ azw`zv`zu`zt_zt_zs_zr_zqZzqZzpZzoYznYznYzmYzlXzkXz\ kXzjWziWzhWzhWzcSzZOzUKzPGvKCrF8mB5hC8cDBZEEUFHPGK\ OGMRHPUISXJV_KYaK_dLbgMejNhmOkoOmmRkkTjiVhgXgfZed`\ dbbb`daZf_YhZgh_ph_dcTTZMHUF5P99SEDUJHXOLZTO`XN_YN\ ZYNYYNYYNXYNWZNWZNVZNUZNUZNTZMS_MS_MR_MQ_MQ_Q9HQ9G\ P9GP9GO9GOAFNAFNAFMAFMAELAELAEKADKADJADJADIBCIBCHB\ CHBCGBBGBBFBBFBBEBAEBADBADBACC9CC9BC9BC8AC8AC89C89\ C78C78C77C77D66D66D65D65D54D54D53D53D42D42D42D47U8\ CiCHyGGzFGzFGzFGzFGzFGzFFzFFzFFzEFzEFzEFzEFzEEzEEz\ EEzEEzDczDczDczDczDczDczDczDczCzzCzzCzzCzzCzzCzzCz\ zCzzBzzBzzBzzBzzBzzBzzBzzBzzBzzmzzmzzmzzmzzmzzmzzm\ zzmzzmzzmzzmzzmzzmzzmzzmzzmzzzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzz } 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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prand.par
by Jay Litwyn 06 May '11

06 May '11

Implohd { ; Formula. z=fn1(pixel), c=fn2(pixel), iter=real(P1): iter=iter-imag(P1) z = z^iter -fn3(z) + c |z| <= |P2| } Xplode { ; Formula z=fn1(pixel), c=fn2(pixel), iter=(0,0): iter=iter+P1 z = z^iter+ c |z| <= |P2| } Trank { ; Formula z=fn1(pixel), c=fn2(pixel): z = z^P1 -fn3(z^P1) +c |z| <= |P2| } Prand { ; Formula z=|scrnpix * flip(scrnmax) / pixel|, z = z*509, temp = z / 257, z = (temp - trunc(temp)) * 257, iter=iter-iter: iter=iter+1 z > iter } Perfect_Fifth { ; Implohd seems to like musical ratios in P1. ; http://www.huygens-fokker.org/docs/intervals.html ; Fractint Version 2004 Patchlevel 4 ; Chrominance in http://ecn.ab.ca/~brewhaha/img/Fifth.jpg reset=2004 type=formula formulafile=prand.par formulaname=implohd function=ident/sqrt/conj passes=t center-mag=1.70258/0/2.614413/0.8912 params=3/2/8/0 float=y maxiter=255 inside=0 invert=0.00294811320754718/1.58064855205761/0 symmetry=xaxis periodicity=0 colors=0000kzz000czzC00WzzP00Ozz`00Gzzm008zzz000zn\ z0F0zaz0V0zQz0j0zDz0z0z0z0z0q<4>z09z00z00<9>zb0zf0\ zj0<3>zz0<3>Wz0Oz0Gz08z00z0<3>0zW0zb0zj0zr0zz<8>0S\ z0Oz0Kz<3>04z0Bq<3>AYUCbOFhI<2>Nz0<3>dz0iz0nz0sz0<\ 3>v`0vV0wO0<2>z40<8>Qb0Lf0Hj0<3>0z0<3>0zW0zb0zj0zr\ 0zz<9>0Oz0Kz0Gz<3>00z<3>W0zb0zj0zr0zz0z<4>z0Iz09z0\ 0z00<9>zb0zf0zj0<3>zz0<3>Wz0Oz0Gz08z00z0<3>0zW0zb0\ zj0zr0zz<9>0Oz0Kz0Gz<3>00z<3>W0zb0zj0zr0zz0z<4>z0I\ z09z00<9>zb0zf0zj0<3>zz0wz0sz0<4>Gz08z00z0<6>0zz0v\ z0sz } Perfect_Fifth_L { ; Fractint Version 2004 Patchlevel 4 ; Luminance in jpeg. reset=2004 type=formula formulafile=prand.par formulaname=Implohd function=ident/sqrt/conj passes=t outside=atan center-mag=1.70258/0/2.614413/0.8912 params=3/2/8/0 float=y maxiter=255 inside=0 invert=0.00294811320754718/1.58064855205761/0 symmetry=xaxis periodicity=0 colors=(a)altern.map }

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FOTD 06-05-11 (Deep Blue Network [7])
by Jim Muth 06 May '11

06 May '11

FOTD -- May 06, 2011 (Rating 7) Fractal visionaries and enthusiasts: Today's image came about when I combined 5.4 parts of Z^(-1.7) with 5.4 negative parts of Z^(-7.3) before adding 1/C on each iteration. The result was an oversized parent fractal consisting of a series of rings with a multi-bayed Mandeloid lying inside the largest ring. This parent, which has X-axis symmetry, may easily be seen by outzooming to a magnitude of 0.05. Today's image lies in the debris-filled East Valley of its parent Mandeloid, which is rotated 180 degrees, so that its East Valley has become a West Valley. The image was calculated with a bailout radius of 600, the point where the solid outside parts just begin to break up and evaporate. The pale blue network is actually the inside stuff starting to break through. I had first intended to name the image 'Pale Blue Network', but finally decided on "Deep Blue Network", which has a more technologically advanced ring to it. The rating of a 7 is close to FOTD average, and makes the calculation time of a fireball fast 51 seconds well worth the effort. Calculation may be avoided however by viewing the image on the FOTD web site at: <http://www.crosscanpuzzles.com/Archives.html> A Hi-def version is available at: <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> The entire library of images prior to November 2010 may be found at: <http://www.Nahee.com/FOTD/> Thursday here at Fractal Central was vastly improved over Wednesday. The partly cloudy sky and temperature of 66F 19C felt just about right for early May. (At least the fractal cats said so.) FL took advantage of the pleasant conditions, working in the fractal garden. My day was occupied with other things, such as pondering the meaning of existence. I have long since outgrown such rational but lame answers as 'the meaning of life is that which we give to it by our accomplishments'. There is no mystery about the meaning of the FOTD however -- I enjoy fractals. The next one will be posted in 24 hours. Until then, take care, and are skeptics really satisfied believing that everything is an accident, that their unique identities 'just happened', and that this is all there is to it? Jim Muth jamth(a)mindspring.com START PARAMETER FILE======================================= Deep_Blue_Network { ; time=0:00:51.30-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=MandAutoCritInZ function=recip passes=1 center-mag=-1.131856371048401/+0.27985603033438/\ 4.314619e+011/1/-129.75/0 params=5.4/-1.7/-5.4/\ -7.3/0/500/0/0 float=y maxiter=1500 inside=255 periodicity=6 mathtolerance=0.05/1 colors=0007HM39HauJbpGclEdhBec9f_6gW4gS2mEAr1Hp7Fo\ CDnIBmN9kT7jY5ic3hh1ggDgfPfe`fdlfcxceoagfZhZXjQVkI\ RlMOlPLlTIlWEl_Blb8lf5li6ie7ga8eY90UA`QBZNDbKEeIFh\ FGkDEhJCeOAbT8`Z6Yc4Vh3Tm8YgDaaHeWMiQQmKVqEZu9WqAU\ mARiAPeBMaBKZBJXHJWNIVTITYHScHRiHQnWfQjw1xJ3A02A01\ A00A08A06AAE070AAK070AA_070AAYAAQAANAAEAAGAA870584\ 897A9ACADEAGGZJIWMKdUTklarozzzzzzzzzzzwzzhUzdbz`Xz\ WRzSLzOGzNJzNMwMOwMRwMUzmWzmZmL`XMPINE3O38P9DQEIQJ\ NROSSTXSYaTbfTgcWa`ZWzzRWdLUgGRhJPiMNjPKjRIkUGlXEl\ ZzmYIZXKSWLMVNFUP8TQ2TM4PI6LzmHBAD7C93E50F1zmGAHVE\ IizzcSTZYYUdbPkgKqlFohPmdZlahwk4NLIQPGSSEVVCXYAZ`8\ ac6cf4ei2aeBZbKW_TSXaPUjMRrSOhYL_cIRiFIoC9uA0hM7WY\ EJhLGYMEONtKehQlXWrMaxLZyLXyLUzLSzLQz_9WYVVWoVXl_Y\ jdZhh_fm_dq`hpalpbppctpcwpipkojfucazYXraQjeJbhCafE\ adGabIaaK3ew2cl2ba1`R1_G1Z6DUKPPY`KklFyfMu`SqVYmQd\ jKjfEpb9v_8k`PpeLg`GZW0Uc } 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 05-05-11 (Eight Bells and All's Well [5])
by Jim Muth 05 May '11

05 May '11

FOTD -- May 05, 2011 (Rating 5) Fractal visionaries and enthusiasts: I found today's image when I added just a dust mote of Z^11 to 0.4 part of Z^2. The parent fractal is a distorted Mandelbrot set facing east, surrounded by various holes and fields of debris. This M-set has a string of holes extending from its East Valley, (which is on the west side), out toward the west, where it runs into a larger underlying fractal that is mostly hidden, and dissipates. I named the image "Eight Bells and All's Well" because of the eight bell-shaped holes surrounding the central minibrot. The rating of a merely average 5 shows that I am not very impressed by the image. This time, the 'fmod' outside option came to the rescue, adding just enough to the scene to enable me to grant it the honor of being declared FOTD for a day. The calculation time of just over 4 minutes may drag for those not totally fascinated by the magic of numbers. For these stragglers I suggest a trip to the FOTD web site at: <http://www.crosscanpuzzles.com/Archives.html> where the finished image may be viewed in all its pristine glory. The image is available in hi-def at: <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> The 14-year-old original web site is at: <http://www.Nahee.com/FOTD/> Wednesday began with rain here at Fractal Central, making the fractal cats turn sulky, but by mid-morning the rain ended and by midday the sky brightened. A few glimpses of afternoon sun brought a temperature of 55F 13C and a glimmer of hope for better days to come. Another typical day passed uneventfully in the human department. After last evening's downpour, FL had a bit of garden repair to do. I took it as easy as possible, though for me this means far from being idle. The next FOTD will be posted in 24 hours. Until then, take care, and let's fight the budget deficit by cutting spending on someone else's favorite project. Jim Muth jamth(a)mindspring.com START PARAMETER FILE======================================= 8_Bells_All's_Well { ; time=0:00:59.31-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=MandAutoCritInZ function=ident passes=1 center-mag=-0.1684225851772538/-1.784860150073554/\ 9.267269e+010/1/35/0 params=4e-007/11/0.4/2/0/0/0/0 float=y maxiter=2600 inside=0 outside=fmod proximity=4 periodicity=6 colors=000hIcjJZlLTnMOpOJrPEuP8sQ9rRApSBoTBmUClVDj\ WDiWEgXFfYGdZGc_Ha`I`aIZbJYbKWcLVdLTeMSfNQgNPhONiP\ LiOMiPMiQMiQNiRNiRNiSNiTOiTOiUOiUPiVPiWPiWPiXQiXQi\ YQiZRiZRi_Ri_Ri`SiaSiaSibSibUecWbdY_e_WfaTgcQheMig\ JjhHliGkjGjjGikFhlFglFfmFfnEenEdoEcoEbpDaqDaqD`rD_\ sCZsCYtCXtCXrYTqsPknRfjTafVWbXRZZMV`GRbBNd4Kd6Je7J\ f8IfAIgBIgCHhDHhFHiGGiHGjJGkKFkLFlMFlOEmPEmQEnRDnT\ DoUDpVCpXCqYCqZBr_BraBsbAscAtdAtbBraBp`Bn_BmZCkYCi\ WChVCfUCdTDcSDaRD_PDZOEXNEVMEULESKEQJFOHFNGFLFFJEG\ IDGGCGEAGD9HB8I97J86K65L44M35N55P76R96TB6WD7ZF7aH8\ dJ8gL8jN9mP9pR6rS9sTCtUFtVIuWLvXOvXRwYUxZXx__y`by`\ axaawaawa`va`va`ua_tb_tb_sbZsbZrbZqbYqbYpcYpcXocXn\ cXncWmcWmcWldVkdVkdVjdUjdUidSjcUidVheWgfXggYfg_eh`\ eiadjbcjcckdblfamgamh`ni_ojZpkZpmYqnXroXspWsqVtrVu\ tUvuTvvTwwSxxRyyRyxQxxPwwOwwOvvNvvMuvMtuLtuKstJstJ\ rtIqsHqsHp_Ep`CxbErdFmfHh } 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 03-05-11 (Most Unexpected [9])
by JackOfTradeZ＠comcast.net 05 May '11

05 May '11

. Indeed a unique image; makes me think of the Julia 2.003 square for some reason. Thanx Jim! Backing out shows some interesting scenery too - good enough to do a zoom animation, now in progress. Stay Amazed JoTz .

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FOTD 04-05-11 (Forest Greenery [5])
by Jim Muth 04 May '11

04 May '11

FOTD -- May 04, 2011 (Rating 5) Fractal visionaries and enthusiasts: Today's image is another scene in the same parent fractal that produced yesterday's image. For a try at something different, I first found a deep minibrot, then raised the bailout radius to one-googol, which evaporated the entire fractal. Then I brought the fractal ghost back to life with the 'bof61' inside fill. The result appears as today's image, which I have given the not- too-inspired name of "Forest Greenery". The rating of a 5 indicates that I consider the image to be merely average. Yes, I know that I would make a pretty poor fractal salesman, but in the FOTD world, honesty is more important than profit. With its slow calculation time of over 13 minutes, today's image will try the patience of those with today's trendy but short attention spans. Instant relief for the time-stressed may be found on the FOTD web site at: <http://www.crosscanpuzzles.com/Archives.html> and in hi-def at: <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> The classic web site may be found at: <http://www.Nahee.com/FOTD/> A mix of hazy sun and clouds, with a temperature of 81F 27C, made Tuesday feel more like June than May here at Fractal Central. A heavy thunder-storm ended the day with a bang. The fractal cats handled the warm weather by shifting into their summer stretch-out modes. FL shifted into gardening mode, while I offered a bit of moral support. The next FOTD will be posted in 24 hours. Until then, take care, and if religion offers fairy tales, then science offers consolation prizes. Jim Muth jamth(a)mindspring.com START PARAMETER FILE======================================= Forest_Greenery { ; time=0:13:20.14-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=MandAutoCritInZ function=recip float=y center-mag=+3.601645691611511/+0.8027527621866575/\ 8.707179e+011/1/17.5/0 params=11/-1.1/1.1/-11/0/\ 1e+100/0/0 maxiter=2000 inside=bof61 outside=tdis periodicity=6 colors=000JGJJFNKFRLEVLD_MCcNCgNBkOAoP9sP9wRCsTFoV\ HkXKgYMc_P_aSWcUTeXPfZLhaHjdDlf9ni5ok2ml3ll4jl4im5\ hm5fm6en6cn7bn7ao8_o8Zo9Xp9WpAVpAPTDJ5GI9HIDHIHHIL\ HIPHISIIWII_IIcIIgIIjIKiJLiJNiJOiJQiJRiJSiJUhJVhJX\ hJYhJZhK`hKahKcgKdgKegKggKhgKjgKkgKlgKmeLmcLmbLm`M\ m_MnYMnWMnVNnTNnSNoQNoOOoNOoLOoKOZQLIWJ2aH3cG3dF3e\ E3gD3hC3iC3kB3lA3m93o83p73q77nBAkEEiIHfLLcPOaSSZWV\ XZZUaaReePhhMllJooHssEvvCytDxsExqFxpGxoGwmHwlIwjJw\ iJwhKvfLveMvcNvbNuaOu_PuZQuYQuXPrWPoWOlVOiUNfUNcTM\ `TMYSMVRLSRLPQKMPKJPJGOJDOJAXXNejZmxjnukoslpqmpomq\ mnrkorqpsgptiqtcruksv_svbtwWuxUvxSvyjwzOxzMxnOrcQl\ SSfHU`6VV8WRAXNCYKDZGF_DH`9I`6HZ5HX4HW3HU3HT2HR1HQ\ 1JR4KR7LR9MRCNRFORHPSKQSNRSPTSSUSUVSXWT_XTaYTdZTg_\ Ti`TlaTnbXnb_nbcnbfnbjnbmnbqnbtnbwnaskaphamfajcag`\ `cZ``W`YT`VR`SO_OL_LJ_IG_FD_CBaFCcICeKCfNDhQDjSDkV\ EmXEo_EpbFrdFtgFGJ6HIBIHF } 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 29-04-11 (That Old Black Magic [7])
by Jim Muth 02 May '11

02 May '11

At 01:27 PM 5/1/2011 -0700, Brian wrote: >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: Sure enough, they are in there. I guess the fmod method of finding them is not as perfect as I thought. And I have already found one myself, which will be tomorrow's FOTD. Jim Muth

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FOTD 02-05-11 (Circle of Ducks [7])
by Jim Muth 02 May '11

02 May '11

FOTD -- May 02, 2011 (Rating 7) Fractal visionaries and enthusiasts: Today's image is named "Circle of Ducks". The eight open holes around the central minibrot bear enough resemblance to ducks with their heads pointed away to justify the name. The parent fractal came about when I loaded the MandAutoCritInZ formula and checked to see what would happen when 0.1 part of Z^10 is combined with Z^1.5 and straight C is added. What happened was a ragged cut off Mandeloid facing east, with its main stem twisted into a hook and a small peanut-shaped hole lying on the hook. Today's image lies in the east valley of this peanut hole. As it first appeared, the image fell flat, but a re-rendering with the outside set to 'tdis' gave it enough life to rate a 7. (And remember that we are now back on the old familiar rating scale.) The calculation time of a little over one minute will cause no one any time stress. To avoid even the thought of stress, the finished image may be viewed in its full glory at the FOTD web site 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 may still be accessed at: <http://www.Nahee.com/FOTD/> Sunday dawned with hazy sun here at Fractal Central. By midday however heavy clouds arrived, and by 3pm light rain began, making an overall unpleasant day. The fractal cats slept through most of the day, though they did rise to window action when Cassie sensed an intruding cat walking past. The day of the humans was close enough to average to be consid- ered uneventful. And most likely, Monday will bring more of the same. The next FOTD will be posted in 24 hours. Until then, take care, and before one can be at peace with others, he must be at peace with himself. Jim Muth jamth(a)mindspring.com START PARAMETER FILE======================================= Circle_of_Ducks { ; time=0:01:09.59-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=MandAutoCritInZ function=ident passes=1 center-mag=+0.5547710621115003/-0.0077415326530723\ /3.581373e+012/1/175/0 params=0.1/10/1/1.5/0/0/0/0 float=y maxiter=350 inside=255 outside=tdis mathtolerance=0.05/1 periodicity=6 colors=000WmQXcPYVPZMO_DO`4OBT9lppbjsTeuLWqEMm7Ci0\ 2e25b48`6BZ7DX9GVBJTCLRKUTSaV_jXgrZoz`7LgQSihYjjcY\ liLnn8pp7rr7st6uv6wx5xy56VKDZMJbNPIFLM6D68J59F9BB2\ CC7ArgQjaLcWHWQDPK9HE5A91IB3PD4XF6cH7kJ9rJAmazlbxk\ cvjcuS`hAYX8WU7VR6UP5TM4SJ3RH2QE1PC_g5Wb6SZ6OU7LQ7\ aVXrZvmXiiVYeTMaRA_UBZWBYYBW`BVbBUdBXhHZlNapSctYex\ bgobifbkZblQbnIbp9bq1bn4bk7biAbfDbdGbePheYmj`loclt\ ellghdieXkbPm_HoXAqU7gT5ZS3QS8OQCMOGKMKIKOGISEGWCE\ f9Dq6CmBFiGIfLLbQOZVRWZUXk`XxgIUm40r54j58c6CW6GP7K\ H7OA7R3POXfMzdStbYo`cjZidXo_WuVZvYaw_dwagxcjyemygp\ zirzkkygexdZwaTvYMuVGtSAsP9uM9vK9wI3dh2cc2b_1aV1`R\ 4YQ7WPAUODSNFQNETKEWIEZGDaEDdCDgADj8IcBNXESQHXJKaC\ MeKWiRemYoqdxUYhPdXKkMFrBAx0Bu2Br4Bo6Bl8Bj9TXRiKgz\ 7xuGqpPjlXdgeYcmSehOfdKh_GiWCjS8iPA`M8TK6LH5DF35D2\ 7E38E39F4AF4CG5DG5EH6FH66xZ9sWCnTFiRHeOK`MNWJPSHFp\ rCmoAkm8ik5fh3df1bdBWfcmz } 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 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 01 May '11

01 May '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 30 Apr '11

30 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 29 Apr '11

29 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 28 Apr '11

28 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 28 Apr '11

28 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 28 Apr '11

28 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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<JackOfTradeZ>"[I] like seeing the MSet constructed pixel by pixel..."
by Hal Lane 28 Apr '11

28 Apr '11

JackOfTradeZ, You said, > [I] like seeing the MSet constructed pixel by pixel > with orbits. If there was a way to save the image every > tenth second it would make a nice video animation. I really like the real-time orbits too! Capturing the orbits "in flagrante" is a great idea! I'm going to try to remember to see if video screen cap S/W can do what you suggest. If you don't hear from me in a while on this subject, please rattle my cage. - Hal Lane ######################### # hallane(a)earthlink.net # #########################

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Re: [Fractint] Out_Of_Orbit
by JackOfTradeZ＠comcast.net 28 Apr '11

28 Apr '11

. Out_Of_Orbit is way cool - like seeing the MSet constructed pixel by pixel with orbits. If there was a way to save the image every tenth second it would make a nice video animation. .

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FOTD 26-04-11 (The Wheel of Life [8])
by Jim Muth 26 Apr '11

26 Apr '11

FOTD -- April 26, 2011 (Rating 6) Fractal visionaries and enthusiasts: In today's image I returned to the mixed-up world created by the MandAutoCritInZ formula. I intentionally used only the numeral one, combining 1.1 negative parts of Z^(-11.11) with 11 negative parts of Z^(-1.1) to create the parent fractal, which is little more than a big fan blade. Today's image lies inside a tiny dot near the eastern edge of the blade. I named the image "The Wheel of Life", giving the impression that there is some deep cosmic message beneath the rather sullen surface appearance of the image. And that impression is not totally without merit. The term 'wheel of life' actually refers to the cycle of birth, death and rebirth prevalent in the east- ern philosophies, where the injustices of this life are made right in a future life on earth, and the bad deeds reap their just wages. It all seems very fair, but . . . The rating of a 6 is equal to the old rating of a 7, making the image worth the brief 2 minutes required to run the included parameter file. To bypass the trouble of running the parameter file, check in at the FOTD web site at: <http://www.crosscanpuzzles.com/Archives.html> to view the finished image there. The image is posted in high-definition at: <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> Paul Lee's original classic web site is still available at: <http://www.Nahee.com/FOTD/> Monday began with clouds and a chance of rain, but by midday turned sunny and warm, with a temperature of 84F 29C. The fractal cats voiced their approval of the weather, but did not approve of a stray yellow tomcat they spotted prowling the neighborhood. My day was average. But with a busy day expected tomorrow, do not be surprised if the next FOTD is late or does not appear at all. Until whenever, take care, and when we finally, if ever, discover the elusive Higgs particle, what help will it bring to the everyday man on the street? (If we're lucky, it might bring as much help as the overhyped International Space Station.) Jim Muth jamth(a)mindspring.com START PARAMETER FILE======================================= The_Wheel_of_Life { ; time=0:02:00.03-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=MandAutoCritInZ function=recip float=y center-mag=+4.722782258417/-0.344354517991/2.1e+8\ /1/-148.75/0 params=-1.1/-11.11/-11/-1.1/0/0/0/0 maxiter=2500 inside=0 logmap=380 periodicity=6 colors=000A0R60F90JC0OF0SD0HL0PE0NI0AB09E09A096095\ 0840780B70A60950850890ED0J000V7aZ7hb7zf6sjFznKzlKz\ jBziHufFtdHsbKq`MqZOoXQnUSmTVlQXjOZjN`iLbhKdhMafO_\ dPYbRWaSU_USYWQWXOVZMT_KRaIPbGOcJMdLKdOIeQHfTFfVDg\ YCgcAhc8mh7rm5vw3zzzzw5zw7vrArmCmhEghH`YJ_XLfSJmOH\ tJFzFEyEJyENxDRxDWwC_wCcvBhvBlvBpsGiqKbnOXlSQiWJg_\ Ddc6bg0_i5Xj9VkESlIPnNNoRKpWHq_FsdCth9um7vqQhrhWsg\ Ypg_mgHjfbgfXdffamhZsiWckTdmQdoNdpKcrHctEcvBcw9`vF\ ZvKXvPVvUTvZRvcPvhNvmLvrNwsOwtQwuRwvTwxUwzVwzXwzYw\ z_wz`zzazzZnzWfzUZzRRuPJuHPw9UyASxBRwCQvDPuEOtFNtG\ OsGPqGQpHRoHRnHSlITkIUjIViJWgJXfJXeKYdKZcK_aL``La_\ LbZMkXMlWOzOMxVNsUNfSNgROhQOiPAAZBIYBNYBNYCOYCOXCP\ XDPXDQXDRWERWESWESWFTVFTVFUVGVVGVUGWUHWUHXUHXTHYTI\ ZTIZTIcSJcSJcSJcSKcRKcRKcRLcRLmQLmQMmQMmQMmPNmPNmP\ NmPOmOOmOOmOgzY`zUUzRpzsfzhXzYAz5zz6zz6zz7zz7zz8zz\ 8zz9zzzzzzzzzzzzzzzzzzzzz } 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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roarbit.par
by Jay Litwyn 25 Apr '11

25 Apr '11

Club_Lambda { ;Formula. Should not display on parameter screen ;and it does, so I am not leading it with frm: ;which would make it hard for you to use it: ;"fractint formulafile=roarbit.par" ;Anybody want to write neg function, so that ;I can replace -conj(z) with fn3(fn4((z))? z=fn1(pixel), c=fn2(pixel): z = z*z -conj(z) +c |z| <= real(P1) } Krabopl { ; Press o if you want it faster. ; It is interesting that many of the points ; hav orbits in common. showorbit=yes ; does not work in F4W. reset=2004 type=formula formulafile=roarbit.par formulaname=club_lambda function=asin/cos passes=t center-mag=-0.413383/0/0.3499265/1.917 params=4/0 float=y maxiter=1024 inside=255 invert=0.0328639999999999/0.89/0 symmetry=none periodicity=0 showorbit=yes colors=00000e0e00eee00e0eeL0eeeLLLLLzLzLLzzzLLzLzz\ zLzzz000555<3>HHHKKKOOO<3>ccchhhmmmssszzz00z<3>z0z\ <3>z00<3>zz0<3>0z0<3>0zz<2>0GzVVz<3>zVz<3>zVV<3>zz\ V<3>VzV<3>Vzz<2>Vbzhhz<3>zhz<3>zhh<3>zzh<3>hzh<3>h\ zz<2>hlz00S<3>S0S<3>S00<3>SS0<3>0S0<3>0SS<2>07SEES\ <3>SES<3>SEE<3>SSE<3>ESE<3>ESS<2>EHSKKS<2>QKSSKSSK\ QSKOSKMSKK<2>SQKSSKQSKOSKMSKKSK<2>KSQKSSKQSKOSKMS0\ 0G<3>G0G<3>G00<3>GG0<3>0G0<3>0GG<2>04G88G<2>E8GG8G\ G8EG8CG8AG88<2>GE8GG8EG8CG8AG88G8<2>8GE8GG8EG8CG8A\ GBBG<2>FBGGBGGBFGBDGBCGBB<2>GFBGGBFGBDGBCGBBGB<2>B\ GFBGGBFGBDGBCG000<6>000 } Out_Of_Orbit { ; Animation. Border tracing treats periodicity, too. ; This will crash Fractint For Windows. ; Fractint Version 2004 Patchlevel 4 reset=2004 type=mandel passes=b center-mag=-0.765332/0/0.7772216/1.4732/90/3.88578\ 058618804789e-016 params=0/0 float=y maxiter=255 fillcolor=1 periodicity=-11 showorbit=yes colors=000<4>00000000zzz0000<4>000z000zzz0zzz00zzz\ 0zyy00yyy0yxx00xxx0xww00www0www00www0wvv00vvv0vuu0\ 0uuu0utt00ttt0tss00sss0sss00sss0srr00rrr0rqq00qqq0\ qpp00ppp0poo00ooo0ooo00ooo0onn00nnn0nmm00mmm0mll00\ lll0lll00kkk0kkk00kkk0kjj00jjj0jii00iii0ihh00hhh0h\ hh00hhg0ggg00ggg0gff00fff0fee00eee0edd00ddd0ddd00d\ dc0ccc00ccc0cbb00bbb0baa00aaa0aaa00```0```00``_0__\ _00___0_ZZ00ZZZ0ZYY00YYY0YYY00XXX0XXX00XXX0XWW00WW\ W0WVV00VVV0VUU00UUU0UUU00TTT0TTT00TTT0TSS00SSS0SRR\ 00RRR0RQQ00QQQ0QQQ00QQP0PPP00PPP0POO00OOO0ONN00NNN\ 0NNN00MMM0MMM00MML0LLL00LLL0LKK00KKK0KJJ00JJJ0JJJ0\ 0III0III00IIH0HHH00HHH0HGG00GGG0GFF00FFF0FFF00EEE0\ EEE00EED0DDD00DDD0DCC00CCC0CCC00BBB0BBB00BBA0AAA00\ AA909990099909880088808880077707770077606660066606\ 55005550544004440444003330333003320222002220211001\ 1101000 } Default { ; Anybody want to write a neg function? ; colors=(a)orbit.map reset=2004 type=formula formulafile=roarbit.par formulaname=club_lambda function=zero/ident passes=t center-mag=-0.274835/0/0.7025121/1.214/90/3.885780\ 58618804789e-016 params=3/0 float=y maxiter=255 fillcolor=1 periodicity=-1 showorbit=yes colors=000<4>00000000zzz0000<4>000z000zzz0zzz00zzz\ 0zyy00yyy0yxx00xxx0xww00www0www00www0wvv00vvv0vuu0\ 0uuu0utt00ttt0tss00sss0sss00sss0srr00rrr0rqq00qqq0\ qpp00ppp0poo00ooo0ooo00ooo0onn00nnn0nmm00mmm0mll00\ lll0lll00kkk0kkk00kkk0kjj00jjj0jii00iii0ihh00hhh0h\ hh00hhg0ggg00ggg0gff00fff0fee00eee0edd00ddd0ddd00d\ dc0ccc00ccc0cbb00bbb0baa00aaa0aaa00```0```00``_0__\ _00___0_ZZ00ZZZ0ZYY00YYY0YYY00XXX0XXX00XXX0XWW00WW\ W0WVV00VVV0VUU00UUU0UUU00TTT0TTT00TTT0TSS00SSS0SRR\ 00RRR0RQQ00QQQ0QQQ00QQP0PPP00PPP0POO00OOO0ONN00NNN\ 0NNN00MMM0MMM00MML0LLL00LLL0LKK00KKK0KJJ00JJJ0JJJ0\ 0III0III00IIH0HHH00HHH0HGG00GGG0GFF00FFF0FFF00EEE0\ EEE00EED0DDD00DDD0DCC00CCC0CCC00BBB0BBB00BBA0AAA00\ AA909990099909880088808880077707770077606660066606\ 55005550544004440444003330333003320222002220211001\ 1101000 } Birdie_In_Clouds { ; Fine textures like this are the worst kind of ; thing to anti-alias, because some of those pixels ; should not be there at all in smaller sizez. reset=2004 type=formula formulafile=roarbit.par formulaname=club_lambda function=asinh/cos passes=t center-mag=0.399734/0/2.794855/0.6074 params=4/0 float=y maxiter=1024 inside=0 invert=0.0424031880653419/0.915407712354034/0 symmetry=xaxis periodicity=0 colors=(a)diag.map }

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Re: [Fractint] Surprising Shrine
by JackOfTradeZ＠comcast.net 25 Apr '11

25 Apr '11

Jim's image reminds me of the "MayanBrot" from a little while ago; also when I backed out I did not see Albrecht original Shrine image (or am I not supposed to?). They are not so deep, but can back out to e-005, for 9-10 total orders - maybe I can do a zoom-in animation.

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Multifractal_10 (Default Mandel)
by Albrecht Niekamp 25 Apr '11

25 Apr '11

Hi, a few days ago I presented the Default Julia, to be used for the creation of own images. Today the Default Mandel, which is easier to handle for obvious reasons. To show whats possible there is one image created within a few seconds, using the double mandel. Only Real(p2) has been changed and maxiter to 3072. A zoomout was necessary + new colours of course. Use V2 (single mandel) if you want the image twisted 90degrees, head upwards. Albrecht =========================start par============== Mandefv1 { ; Default Double Mandel ; Use for creation of own images ; Time 02.09 1600/1200 reset=2004 type=formula formulafile=mfr.frm formulaname=multifractal_10 function=sin/sin/exp/sin passes=t center-mag=-0.521196/0.0032193/0.8832254/0.8831 params=-0.05825983458967864/0.3785210730307932/20000.32\ 595710002/25234.0311020602/151024.0204808192/384.327685\ 24288/384.00482000595/128.1007683001/256.1007683001/512\ .1007683001 float=y maxiter=1024 inside=maxiter outside=tdis logmap=4 periodicity=0 rseed=-2436 colors=n0B00z<78>vv4ww3ww2<2>zz0zz0zy0<77>z40z30z20z20z\ 10z00<9>s07r08q08<3>n0Cm0Dl0E<59>50u40v30w<3>00z000 } Mandefv2 { ; Default Single Mandel ; Use for creation of own images ; Time 02.28 1600/1200 reset=2004 type=formula formulafile=mfr.frm formulaname=multifractal_10 function=sin/sin/exp/sin passes=t center-mag=0.116637/0.0032193/1.136382/1.1324/-90/3.885\ 78058618804789e-016 params=-0.05825983458967864/0.3785210730307932/20000.32\ 595700002/25234.0311020602/151024.0204808192/384.327685\ 24288/384.00482000595/128.1007683001/256.1007683001/512\ .1007683001 float=y maxiter=1024 inside=maxiter outside=tdis logmap=4 periodicity=0 rseed=-2436 colors=n0B00z<78>vv4ww3ww2<2>zz0zz0zy0<77>z40z30z20z20z\ 10z00<9>s07r08q08<3>n0Cm0Dl0E<59>50u40v30w<3>00z000 } 76183 { ; Fast Newton ; Time 12.54 1600/1200 ; Input Demonstration reset=2004 type=formula formulafile=mfr.frm formulaname=multifractal_10 function=sin/exp/exp/sin passes=t center-mag=-0.121805/0.0260963/0.5580172/0.8831 params=-0.05825983458967864/0.3785210730307932/76183.32\ 595750003/25234.0311020602/151024.0204808192/384.327685\ 24288/384.00482000595/128.1007683001/256.1007683001/512\ .1007683001 float=y maxiter=3071 inside=maxiter outside=tdis periodicity=0 rseed=-2436 colors=000PJo<2>_5fc0ce7_jFRoNIzb0zj0000zr0zz1zzC<2>zzz\ <3>jqdfo_blU<3>Mb8<3>LQ8KM8KJ8<2>I88H44G00<3>TA5WD6ZF7a\ I8eLAhMBiODjQF<3>qeBriAtm9vq8xu7zz5zz4zz3<4>zj4zg4zc4<3\ >zS5zP5zL6zI6zE6wE6tD6<6>vAIv9Kv9M<3>x7Sy7Uy6Wz6Yz5_<3>\ f5Ma5IW4E<2>_4H<3>P3DN2CK2A<3>805G0BO0G<3>g0Ul0Xq0`v0d<\ 2>y0fz0gy0h<3>u1mt1ns1or2q<2>v2u<3>c5eZ6`U6X<2>F9LAAG7F\ O4KW0Qc<3>5Xc6Zc7`c7aa7c_7eY<3>FcgHciJbl<3>S_v<3>civflv\ invlqvotvsww<2>zzz<3>rwzovzhsw<3>Gch8_d8Xa<3>8JP8FL8CI<\ 3>SCCXCAaB9<3>uA2zA0xA0<12>SA1QA1NA1<3>D92<6>UXAW`BYcC<\ 3>hrI<3>UnXRm_NlcJkgFfpAaz<2>LOr }

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FOTD 25-04-11 (Neptune Rising [8])
by Jim Muth 25 Apr '11

25 Apr '11

FOTD -- April 25, 2011 (Rating 8) Fractal visionaries and enthusiasts: Today's image takes us on a journey to Triton, the large moon of the planet Neptune, where we find ourselves in a fractal valley, gazing into the distance toward the giant planet, which is just visible through the haze as it rises slowly above the horizon. Actually, the image is a fractal of the evaporated variety that was created by the MandNewt06a formula and brought to life by the 'atan' inside fill. I rated it at an 8, mostly because I enjoy images that resemble scenes on other worlds. The name "Neptune Rising" needs no explanation. And for the comfort of those whose knees start knocking at the mere thought of the paranormal, the name has no connection to the controvers- ial discipline of Astrology. The calculation time of 3-1/4 minutes will pass in a relativis- tic flash. Those who enjoy art more than relativity may see the image, already calculated, on the new Fractal Central FOTD web site at: <http://www.crosscanpuzzles.com/Archives.html> There is another benefit of visiting the FC web site: the FOTD discussions posted to the web site will frequently contain controversial stuff omitted from the version posted to the Fractint mailing list. For a high definition view of the image visit Hal's web site at: <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> Paul's original site may be accessed at: <http://www.Nahee.com/FOTD/> Easter Sunday began with clouds and light rain here at Fractal Central, keeping the Easter finery under wraps and the fractal cats in sulk posture. By afternoon the sun peeked through and the temperature reached 75F 24C, but by then the gaudy colors were gone and it had turned into just another Sunday afternoon in Central Pennsylvania. The humans made it through the day with no outstanding events to make the day memorable. We are not too concerned about idleness however. If things ever get too slow, there is always that FOTD web site in progress to keep us busy. The next FOTD will be posted in 24 hours. Until then, take care, and never forget that we have not a ghost of a chance of ever reaching those distant planets and stars, but despite this bad news, the ghosts don't give a sheet. Jim Muth jamth(a)mindspring.com START PARAMETER FILE======================================= Neptune_Rising { ; time=0:03:14.71-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=MandNewt06a passes=1 center-mag=62.313\ /-35.172/0.006458334/1/140/0 params=5.14/-3.78/\ 5.05/7.17/3.54/0.58/6e-029/0 float=y maxiter=500 inside=atan periodicity=0 colors=000IhzKpzLzzmzzzzzzzzQLGRIDSFATC7RgMThPVhRW\ hTYhVZhX`iZbi`ciceiefigzzzzjkkzmmjznjqjirghrdhragr\ ccsUAKUAKUAKUAKUAKFP6JN6MM5QL5TJ5XI5_G4cF4fE4jC4mB\ 3q93t83w73v82v92vA2vB2vC2vD2vD2vE2vF2vG2vH2vI2uJ2u\ J2uK2uL2uM2uN2uO2uP2uP2uQ2uR2uS2tT1tU1tV1tV1tW1tX1\ tY1tZ1t_1t`1t`1ta1sb1sc1sd1se1sf1sf1sg1sh1si1sj1sk\ 1sk1rh5rf8qdCqbFp`JpYMoWQoUTnSXnQ_kOZhNYeMXbLW_KVY\ JVVIUSHTPGSMFRKERHDQECPBBO8AN69N7AO8AP8AP9AQ9AQABR\ ABSBBSCBTCBTDCUDCVECVECWFCWFCXGDYHDYHDZIDZID_JE`JE\ `KEaLEaLEbMFcMFcNFdNFdOFeOFePEcQEaQE_REZSEXSEVTEUT\ ESSEQSEPSENRELRDKQDIQDGQDFPDDPDBPDAPD8PD6PD5QD3QD1\ QD0PE1PE2QE3QE4QF4QF5QF6QF7RF7RG8RG9SGASGATGBUHCUH\ DWHEVHEWIFWIGXIHWIHXIIXJJYJKXJKXJLXJMXKNWKNWKOWKPW\ LQWLRVLRVLSVLTVMUUMUUMVUMWUMXTNXTNYTNZTN_TN_VOZWPZ\ XPZYQYZQY_RY`RXaSXbTXcTWeUWfUWgVVhVViWVjXUkXUlYUmY\ TnZTpZTq_Sr`Ss`StaRuaRvbR } frm:MandNewt06a {; Jim Muth z=c=(pixel*p1): a=z^3+(c-p2)*z-c b=p3*z^2+c-1 z=z-1*a/b p4 < |a| } END PARAMETER FILE=========================================

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FOTD 24-04-11 (Surprising Shrine [No Rating])
by Jim Muth 24 Apr '11

24 Apr '11

FOTD -- April 24, 2011 (No Rating) Fractal visionaries and enthusiasts: On Saturday I checked deeper into a recently posted image named 'The Shrine', which was created by Albrecht and is one of the most impressive fractal shrines I have ever seen. I would have rated it a 9. Not all that deep into the Shrine image I found the quadratic minibrot at the center of today's FOTD image, something I would never have expected to find. Actually, I had already found a quartic minibrot in one of the multifractal_10 images, so maybe I should not have been so surprised. Anyway, here is the 'image in the image' in all its fractal glory. Since the parent of today's FOTD image and most of its color palette are not of my own creation, I could give the image no rating. The name I finally chose, "Surprising Shrine", should surprise no one. The multifractal_10 formula, which is more like a fractal program than a mere formula, is too long to include in the parameter file. But it is readily available on the Fractint list. The calculation time of 7-1/2 minutes is rather slow. The calculation wait may be avoided however by viewing the finished image on the FOTD web site at: <http://www.crosscanpuzzles.com/Archives.html> A much longer discussion also appears on the above web site, where I discuss science and mysticism. The image is available in high definition 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/> though it is not up to date. Heavy clouds and morning rain made Saturday a day to be forgotten here at Fractal Central. The fractal cats forgot the day almost before it began. The first thing they wanted was breakfast. The humans had a more relaxing day, since they had no need to meow for their food. The next FOTD will be posted in 24 hours. Until then, take care, recognize nonsense when you see it, and realize that such nonsense may sometimes be true. Jim Muth jamth(a)mindspring.com START PARAMETER FILE======================================= Surprising_Shrine { ; time=0:07:32.04-SF5 on P4-2000 reset=2004 type=formula formulafile=multi.frm formulaname=multifractal_10 function=tan/exp/exp/\ sin passes=1 center-mag=+0.32969507160254110/0/\ 82537.09/1/180 params=-0.05825983458967864/0.37852\ 10730307932/56715.06595750222/14235.4911030602/\ 152048.0404808048/384.1604894048/384.00482000595/\ 128.1007683001/256.1007683001/512.1007683001 float=y maxiter=3000 inside=maxiter outside=tdis logmap=7 symmetry=xaxis periodicity=0 rseed=-2436 colors=000zU0AzGBSHBmHBzzzz0BPHBOHBOHCNHCMHCLICLIC\ KICJICJIDIIDHIDGIDGIDFJDEJDEJEDJECJEBJEBJEAJE9JD8I\ E9JE9JE9KEAKEAKEALEBLEBLEBMECMECNFCNFCNzDzFDOFDOFE\ PFEPFEPFFQFFQFFRFFRGGRGGSGGSGHSGHTGHTGIUGIUGIUGIVG\ JVGJVHJWHKWHKWHKXHLXHLYHLYHLYHMZHMZHMZHN_IN_IN`IO`\ IO`IOaIOaIPaIPbIPbIQbIQcJQcJRdJRdJRdJSeJSeJSeJSfJT\ fJTgJTgJUgKUhKUmKVmKVmKVmKVmKWwKWwKWwKXwKXwKczLczL\ czLczLczLczLczLczLczLczLczLczLczMczMczMczMmzMmzMmz\ MmzMmzMmzMmzMmzNmzMmzMmzMmzMmzMmzMmzMmzMmzMmzLmzLm\ zLmzLmzLmzLmzLmzLmzLmzLmzKmzKmzKmzKmzKmzKmzKmzKmzK\ mz000MWITYH__GfaEmcDseCn`BjWAeR9aM8XH7TC6O75K24P9B\ UFIZLP0008UZ8QW8NS8JP8FL8CIDCHICFNCESCCXCAaB9fB7kB\ 6pA4uA2zA0xA0uA0sA0pA0nA0kA0iA0fA1dA1aA1_A1XA1VA1S\ A1QA1NA1LA1IA2G92D92FC3IG4KJ5NN7PQ8SU9UXAW`BYcC`gE\ ckFenHhrIdqMapQYoTUnXRm_NlcJkgFfpAazEXwITuLOrPJoSF\ lWAi_5fc0ce7_jFRoNIzb0wg0 } END PARAMETER FILE=========================================

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Re: [Fractint] FOTD repeats itself?
by Jim Muth 24 Apr '11

24 Apr '11

At 12:32 AM 4/24/2011 -1000, you wrote: >Richard wrote: >> Compare 2000.03.15 to 2009.03.29 >> >> <http://www.xmission.com/~legalize/fractals/fotd/2000/03/2000.03.15-Rolling_ Grassland.jpg> >> <http://www.xmission.com/~legalize/fractals/fotd/2000/03/2000.03.15-Rolling_ Grassland.par> >> >> <http://www.xmission.com/~legalize/fractals/fotd/2009/03/2009.03.29-Poppy_Fi elds_of_Oz.jpg> >> <http://www.xmission.com/~legalize/fractals/fotd/2009/03/2009.03.29-Poppy_Fi elds_of_Oz.par> > >Looks like it does, only difference is coloration. Perhaps Jim returned >to the old one to improve the colors? Yes, I sometimes do return to older images and make changes, especially when time is shore and there is much other stuff to do. JIM

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Multifractal_10 (House of Wonders)
by Albrecht Niekamp 24 Apr '11

24 Apr '11

Thanks, David I needed that kick in the ass. What I wanted to say is..not that much time to waste.., but if you look closely there is not much of a difference. So, instead of a discussion - although I´m still hoping for some reply - here are 3 new images, XXX if you ask me. I´m scratching a bit deeper into the surface. The "House of Wonders" and two zooms. Fractals are fun! Albrecht =================start par================================ 51765a { ; House of Wonders ; The perfect zooming playground ; Time 41.30 1600/1200 ; mmods-secant-newton-phoenix-mmods reset=2004 type=formula formulafile=mfrn.frm formulaname=multifractal_10 function=sqr/exp/exp/sin passes=t center-mag=0.510595/0.295055/18.16551/1/60.000000000000\ 0071/-3.77822773067748585e-014 params=-0.05825983458967864/0.3785210730307932/51765.03\ 595750222/14235.4911030602/152048.0404808048/384.160489\ 4048/384.00482000595/128.1007683001/256.1007683001/512.\ 1007683001 float=y maxiter=3072 inside=maxiter outside=tdis periodicity=0 rseed=-2436 colors=000LOr<3>_5fc0ce7_jFRoNIzb0zj0000zr0zz1zzC<2>zzz\ <3>jqdfo_blU<3>Mb8<3>LQ8KM8KJ8<2>I88H44G00<3>TA5WD6ZF7a\ I8eLAhMBiODjQF<3>qeBriAtm9vq8xu7zz5zz4zz3<4>zj4zg4zc4<3\ >zS5zP5zL6zI6zE6wE6tD6<6>vAIv9Kv9M<3>x7Sy7Uy6Wz6Yz5_<3>\ f5Ma5IW4E<2>_4H<3>P3DN2CK2A<3>805G0BO0G<3>g0Ul0Xq0`v0d<\ 2>y0fz0gy0h<3>u1mt1ns1or2q<2>v2u<3>c5eZ6`U6X<2>F9LAAG7F\ O4KW0Qc<3>5Xc6Zc7`c7aa7c_7eY<3>FcgHciJbl<3>S_v<3>civflv\ invlqvotvsww<2>zzz<3>rwzovzhsw<3>Gch8_d8Xa<3>8JP8FL8CI<\ 3>SCCXCAaB9<3>uA2zA0xA0<12>SA1QA1NA1<3>D92<6>UXAW`BYcC<\ 3>hrI<3>UnXRm_NlcJkgFfpAazEXwITu } 51765az1 { ; Breathless ; This is what I was when I saw it ; Time 38.12 1600/1200 ; Albrecht Niekamp Apr23,2011 reset=2004 type=formula formulafile=mfrn.frm formulaname=multifractal_10 function=sqr/exp/exp/sin passes=t center-mag=+0.50884515423879840/+0.29404511406465920/36\ 3.3101/1/59.9999999999997442/-2.15889806032265597e-013 params=-0.05825983458967864/0.3785210730307932/51765.03\ 595750222/14235.4911030602/152048.0404808048/384.160489\ 4048/384.00482000595/128.1007683001/256.1007683001/512.\ 1007683001 float=y maxiter=3072 inside=maxiter outside=tdis periodicity=0 rseed=-2436 colors=000LOr<3>_5fc0ce7_jFRoNIzb0zj0000zr0zz1zzC<2>zzz\ <3>jqdfo_blU<3>Mb8<3>LQ8KM8KJ8<2>I88H44G00<3>TA5WD6ZF7a\ I8eLAhMBiODjQF<3>qeBriAtm9vq8xu7zz5zz4zz3<4>zj4zg4zc4<3\ >zS5zP5zL6zI6zE6wE6tD6<6>vAIv9Kv9M<3>x7Sy7Uy6Wz6Yz5_<3>\ f5Ma5IW4E<2>_4H<3>P3DN2CK2A<3>805G0BO0G<3>g0Ul0Xq0`v0d<\ 2>y0fz0gy0h<3>u1mt1ns1or2q<2>v2u<3>c5eZ6`U6X<2>F9LAAG7F\ O4KW0Qc<3>5Xc6Zc7`c7aa7c_7eY<3>FcgHciJbl<3>S_v<3>civflv\ invlqvotvsww<2>zzz<3>rwzovzhsw<3>Gch8_d8Xa<3>8JP8FL8CI<\ 3>SCCXCAaB9<3>uA2zA0xA0<12>SA1QA1NA1<3>D92<6>UXAW`BYcC<\ 3>hrI<3>UnXRm_NlcJkgFfpAazEXwITu } 51765az5 { ; Not an Overlay ; But it looks like one ; Time 18.54 1600/1200 ; Albrecht Niekamp Apr23,2011 reset=2004 type=formula formulafile=mfrn.frm formulaname=multifractal_10 function=sqr/exp/exp/sin passes=t center-mag=+0.49346993613142690/+0.28310225667760690/12\ 843.26/1/112.499999999993094/5.52182605195739029e-012 params=-0.05825983458967864/0.3785210730307932/51765.03\ 595750222/14235.4911030602/152048.0404808048/384.160489\ 4048/384.00482000595/128.1007683001/256.1007683001/512.\ 1007683001 float=y maxiter=3072 inside=maxiter outside=tdis periodicity=0 rseed=-2436 colors=000LOr<3>_5fc0ce7_jFRoNIzb0zj0000zr0zz1zzC<2>zzz\ <3>jqdfo_blU<3>Mb8<3>LQ8KM8KJ8<2>I88H44G00<3>TA5WD6ZF7a\ I8eLAhMBiODjQF<3>qeBriAtm9vq8xu7zz5zz4zz3<4>zj4zg4zc4<3\ >zS5zP5zL6zI6zE6wE6tD6<6>vAIv9Kv9M<3>x7Sy7Uy6Wz6Yz5_<3>\ f5Ma5IW4E<2>_4H<3>P3DN2CK2A<3>805G0BO0G<3>g0Ul0Xq0`v0d<\ 2>y0fz0gy0h<3>u1mt1ns1or2q<2>v2u<3>c5eZ6`U6X<2>F9LAAG7F\ O4KW0Qc<3>5Xc6Zc7`c7aa7c_7eY<3>FcgHciJbl<3>S_v<3>civflv\ invlqvotvsww<2>zzz<3>rwzovzhsw<3>Gch8_d8Xa<3>8JP8FL8CI<\ 3>SCCXCAaB9<3>uA2zA0xA0<12>SA1QA1NA1<3>D92<6>UXAW`BYcC<\ 3>hrI<3>UnXRm_NlcJkgFfpAazEXwITu }

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FOTD repeats itself?
by Richard 24 Apr '11

24 Apr '11

Compare 2000.03.15 to 2009.03.29 <http://www.xmission.com/~legalize/fractals/fotd/2000/03/2000.03.15-Rolling_…> <http://www.xmission.com/~legalize/fractals/fotd/2000/03/2000.03.15-Rolling_…> <http://www.xmission.com/~legalize/fractals/fotd/2009/03/2009.03.29-Poppy_Fi…> <http://www.xmission.com/~legalize/fractals/fotd/2009/03/2009.03.29-Poppy_Fi…> -- "The Direct3D Graphics Pipeline" -- DirectX 9 draft available for download <http://legalizeadulthood.wordpress.com/the-direct3d-graphics-pipeline/> Legalize Adulthood! <http://legalizeadulthood.wordpress.com>

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FOTD 22-04-11 (Composition-101 [No Rating])
by Jim Muth 24 Apr '11

24 Apr '11

FOTD -- April 22, 2011 (No Rating) Fractal visionaries and enthusiasts: Today's image is strange indeed. It holds no fine detail, consisting totally of a smooth blending of colors, as smooth, that is, as can be achieved with the 256 colors of the GIF format. And unlike recent images, today's appears much the same at all resolutions including the lowly 640x480. I named the image "Composition-101". Composition is one of the basic things that makes a picture a work of art, and one of the first things taught in art courses is that the 1/3-1/3 points of a frame are powerful places to place the center of interest of a picture. I have placed the obvious center of interest of today's image 1/3 of the distance down from the top and 1/3 of the way across from the left -- just where the art instructor would approve. With next to no detail to latch onto, I could not give a rating to today's image, which creates more of an intuitive feeling than a visual impression. The color palette was largely borrowed from one of Albrecht's images, with only a slight tweaking of a few registers to add as much smoothness as possible. I suspect that the variation between color monitors will probably undo much of the tweaking however. The calculation time of under 3-1/2 minutes is borderline slow. This slight inconvenience may be avoided by viewing the already- calculated image at a resolution of 640x480 on the official but unfinished FOTD web site at: <http://www.crosscanpuzzles.com/Archives.html> The image may be seen in high definition on Hal's web site at> <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> But with today's image, little improvement will be noticeable. Paul's web site is still up at: <http://www.Nahee.com/FOTD/> though it is about 5 months behind. I read recently on the list that the four greatest achievements of man are: the invention of Calculus, the theory of relativity, the theory of quantum mechanics, and the discovery of fractals. Each of these things has vastly changed the way we look at the reality of the world we live in, and in some cases has questioned the actual truth of the concept of reality itself. In upcoming FOTD's I will discuss some of my ideas about these topics. But don't expect my (crackpot?) ideas to agree with the conventional rational scientific doctrine. Lots of sun, a brisk wind and a chilly temperature of 59F 15C made Thursday an acceptable day here at Fractal Central. The fractal cats spent the day watching for the aggressive tomcat that sprayed their front door on Wednesday. Luckily for the aggressive cat, he never showed up. The day of the humans was busy but reasonably under control. The next FOTD will be posted in 24 hours. Until then, take care, and be at peace with things as they are. Jim Muth jamth(a)mindspring.com START PARAMETER FILE======================================= Composition-101 { ; time=0:03:24.21-SF5 on P4-2000 reset=2004 type=formula formulafile=mandnewt.frm formulaname=MandNewt06a passes=1 center-mag=-1132.\ 856309823943/-5.111210744837869/28562/1/-92.5/0 params=1/2/3/3/2/1/2e-029/0 float=y maxiter=500 inside=atan periodicity=0 colors=000432653874A85CA6EC7GE8IF9KHAMJBOLCQMDSOEU\ QFWSGYTH_VIaXJcZKe_LgaMicNkeOmfPohQqjRslSunTwpVxqW\ zrXxqWvpVtnUrlTpjSniRlgQjePhcOfbNd`MbZLaYK_WJYUIWS\ HURGSPFQNEOLDMKCKIBIGAGE9ED8CB7A968756544432210004\ 00600800A00C00E00G00I00K00M00O00Q00S00U00W00Y00_00\ a00c00e00g00i00k00m00o00q00s00u00w00x00y50x00v00t0\ 0r00p00n00l00j00h00f00d00b00a00_00Y00W00U00S00Q00O\ 00M00K00I00G00E00C00A00800600400211322334454666878\ 999BBBDEDFGFHIHJKJLLLMNMOOOQQPRRRTTSVVVXXWZYZ___aa\ accceeegfghhhiiijjjlllnnnpppqqqqrqqqqpppnnnllljjji\ iigggfeecdcbbb```Z_ZYYYWWVTUTSSSRQRPPPNNNLMLKKKIJI\ GIGFGEDEDBCB9A978755544422200001203404606807A09C0A\ E0CG0DI0FK0GM0IO0JQ0LS0MU0OW0PY0R_0Sa0Uc0Ve0Xg0Yi0\ _k0`m0bo0cq0es0gu0hw0jx0kz0jx0hv0gt0er0dp0bn0al0_j\ 0Zh0Xf0Wd0Ub0Ta0R_0QY0OW0NU0LS0KQ0IO0HM0FK0EI0CG0B\ E09C08A068056034022000000 } frm:MandNewt06a {; Jim Muth z=c=(pixel*p1): a=z^3+(c-p2)*z-c b=p3*z^2+c-1 z=z-1*a/b p4 < |a| } END PARAMETER FILE=========================================

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FOTD 23-04-11 (Frosty Snowflakes [8])
by Jim Muth 23 Apr '11

23 Apr '11

FOTD -- April 23, 2011 (Rating 8) Fractal visionaries and enthusiasts: Today's image takes us back to the fantastic world of evaporation as seen through the MandNewt06a formula. The image consists mostly of inside stuff, though it appears to be a 50-50 inside-outside mixture. All that remains of the outside stuff in fact is the dots. The rest has pretty much evaporated away. I really like today's image, which I think deserves an honest rating of an 8. The name "Frosty Snowflakes" refers to the white dots scattered about parts of the scene. These dots are the remains of the outside stuff, which has all but totally evaporated away. The calculation time of 3-3/4 minutes is a bargain, considering that the result rates an 8. For the convenience of those who would rather not calculate the images, the finished image may be found on the FOTD web site at: <http://www.crosscanpuzzles.com/Archives.html> A hi-def version is posted at: <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> The original web site with all the bells and whistles is at: <http://www.Nahee.com/FOTD/> It is not up to date, though Paul has just posted a message to the Fractint list, letting us know he is still around. The formula that creates today's image appears to behave differently when used with different programs and math routines. So I cannot guarantee that the image generated on all systems will be identical to the image on the web sites. Some alternate renderings actually appear to be better than my own however. Recent messages on the list have my philosophical urges once again rising. I have read that the four greatest achievements of the human mind are the invention of Calculus, the theory of relativity, the theory of quantum mechanics, and the discovery of fractals. I pretty much agree. Each of these advances has expanded our view of the world we live in and at the same time raised new questions about the nature of reality. The Calculus demonstrated that, in some mysterious fashion, the laws and workings of the physical world can be encoded into the abstractions we call numbers. The encoding works so well that we can often learn more by working with the numerical models than we can by direct observation. Relativity demonstrated that time and space are not what they seem. According to relativity, time, space, mass, energy, acceleration, gravity, and so on are not the absolute fixed independent things they appear to be from our limited perspec- tive, but are united in higher dimensions into different aspects of a single thing. Relativity has so far passed all the tests devised to check it. Quantum mechanics has found that the sub-atomic particles making up the physical world do not appear as actual particles until we look to see them. When we are not looking, nothing exists but energy fields of varying strength that can be represented only as numbers. This raises the perplexing question of how things that exist only when someone is looking can be the building blocks of physical objects that are assumed to continue existing even when no one is looking. Quantum mechanics has also passed all the tests devised to check it. Unfortunately for the peace of mind of theoretical physicists, relativity and the quantum do not fit comfortably together. The two theories predict the existence of things that are incompat- ible with each other, and so far have defied all efforts to blended them into a single theory of everything except the self-awareness of those seeking the theory. Fractals demonstrate that simple everyday numbers are indeed capable of creating entire infinite universes. (We must remem- ber that complex numbers are made of simple numbers.) When we work with fractals, we see the behavior of reiterated complex numbers being transformed by machines into abstract shapes that have all the features of real physical objects except actual objective existence other than as pictures. This leads me to wonder whether much the same thing is happening in our everyday lives. Are our conscious minds like computers? Are our minds actually computing machines, constantly transform- ing the behavior of the far-more-complex quantum numbers into the mental images we take to be solid objects filling the four- dimensional spacetime world that we appear to live in? I'll have more to say about this stuff in upcoming discussions. And be assured that my ideas will respect no sacred cows of either science, religion or politics. Now on to the weather report. Friday began with clouds moving in here at Fractal Central. Rain moved in during the afternoon, while the temperature hovered around an unseasonably chilly 46F +8C. The fractal cats disapproved of the chilly wet conditions -- from the comfort of their indoor shelf of course. The humans' day was acceptable, though nothing to applaud. The next FOTD will be posted in 24 hours. Until then, take care, eat, drink and enjoy fractals, for tomorrow we . . . Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Frosty_Snowflakes { ; time=0:03:47.45-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=MandNewt06a passes=1 center-mag=-554.8\ 55/-35.6804/0.001919476/1/-22.5/0 params=1/2/3/-3/2/1/1e-028/0 float=y maxiter=500 inside=bof61 periodicity=0 colors=0009osClrEiqGfqGcoG`mGYkGViGSgGPeGCdA0OJH_K\ FYLCVIATN7RB0FL9TWGYZTaebghkjnoossrwvzzzzVBJUBJUCJ\ TCJTAISDISDIRBHR9HREHQEGQAGPAGPFGOFFOBFN8FNEENEEMB\ EM7ELDDLDDKBDK9CJECJECIBBJ9CJECJECJACJ9CJDCJDDJ9DJ\ 9DJEDJDDJ8DJADJFEJFEJ9EJBEJFEJFEJAEJAFJFFJFFJBFJBF\ JFFJEGJCGJCGJEGJEGJDGJDGJDHJDHJDHJDHJCHJCHJCHJCIJC\ IJBIJBIJBIJBIJBIJAJJAJJAJJAJJAJJ9JJ9KJ9KJ9KJ9KJ9KJ\ 8KJ8KJ8LJ8LJ8LJ7LJ7LJ7LJ7LJ7MJ6MJAMJ6MJ6MJ6MNFKJ6M\ L7NO8OXKPT9RVASXBTcPUaCWdDXfEYoUZkF`mGarHbvZczHezI\ dzIdzcdzJczJcvJctZbqKbqKbpKapUaoLaoL`nL`mQ`mM_lM_l\ M_kNZkNZjNZjNZiOYiOYhOYhPXgPXgPXfPWeQWeQWdQVdQVcRV\ cRUbRUbSUaSTaST`ST`TS_TS_TSZTSYURYURXURXVQWVQWVQVV\ PVWPUWPUWOTWOTXOSXNSXNRYNQYMQYMPYMPZLOZLOZLNZLN_KM\ _KMcKLcJLcJKcJKmIJmIImIzmHzmHzmHzmGGmGzmGFmFzqFEtF\ zwEDzECzEBz9CzBCzCCzDCzECzGzzHDzIzzJDzLzzMDzNEzOzz\ QzzREzSzzLzzLzzLzzKzzKzzK } frm:MandNewt06a {; Jim Muth z=c=(pixel*p1): a=z^3+(c-p2)*z-c b=p3*z^2+c-1 z=z-1*a/b p4 < |a| } END PARAMETER FILE=========================================

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<Paul> I'm very happy to see your familiar signature, P.N.L.
by Hal Lane 22 Apr '11

22 Apr '11

Paul, I'm very happy to see your familiar signature, P.N.L., on a Fractint post! I'm not so happy to learn the reasons why you've had to be away from the Fractint Forum. Thanks for sharing some of the nature of your recent medical challenges. I'm of the personal opinion that sharing some of these with friends can reduce their burden a little bit. I'm continuing to calculate and post Jim's images in a jumbo size (on a poor format web site), and, as I'm sure you're aware, Jim's just now gotten a FOTD site going himself, so please don't worry about working on your FOTD site for the time being. Again, I'm really happy to see you back. - Hal Lane ######################### # hallane(a)earthlink.net # #########################

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General Discussion
by Albrecht Niekamp 22 Apr '11

22 Apr '11

Hi, referring to the latest editon of the general discussion.As no objections received I´m going on. qte:Violence in life and in media and suicide by atomic disasters are symptoms of an apokalyptic end time scenario. I have my own theory about religion and human behaviour, only vagely connected to fractals. Not sure if it´s ok to discuss it here. Tell me.unqte When life came to earth it was just one cell, some molecules inside some kind of skin. But this organism was capable to take energy from the outside and reproduce itself. It could do that because it´s parts were capable of some kind of communication in order to achieve this common goal. The next step, a multicellular organism was much more complex, it could interact with others and build up "sexual" behaviour.It´s parts, the living cells had their own meaning and task to serve the organism. And they still used the same way of communication. The next step was the swarm, many organisms, fish or birds for example, acting like one single organism. Birds, so far away from each other that they cannot see the ones at the far end of the swarm still perform the same movements, simultenously! The medium carrying these informations has not been detected as far as I know. But it is still the same as that one in the single cell. Later, when intelligence occurred the individuals started talking and giving names to things. They discovered that something was there to guide them in their swarm. - They called it GOD. - But it was still the same as in the single cell organism. Within short time some individuals discovered that they could make others do what they wanted if they said it was GOD who wanted that. >From there it´s a straight way to all the horrors produced by the christian church in the name of GOD. I stick to the christian church for good reasons. The ""holy"" wars, the burning of witches, the condemnation of sex and the rapture of small boys which is one and the same thing. And terrorizing the people by that never ending banging from their churches. And the "swarm behaviour" is still alive, we all have seen the pictures. That´s it, simple and full of logic. And it helps if you´re having a bad conscience thinking of throwing it all overboard... I havent read the book "the swarm" although my little sister told me to do that. And the connection to fractals? See my message apr,11 addressed to jim qte: Also for me fractals are a big mystery, which possibly never can be fully explained on our level of existence. Maybe to understand we will have to go to the level of elementary particles, if ever. Imagine that everything is one big "fractal" unity and on this level there are no distances between systems...unqte I think, possibly fractals are part of the universe of elementary particles like many other things, ghosts, self similarity between members of a species. Think of that pair of particles, one on the moon and the other one on earth.If one changes it´s status, the other one changes simultaneously. What do you think? Sincerely, Albrecht

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Multifractal_10 (Default Image)
by Albrecht Niekamp 22 Apr '11

22 Apr '11

Hal, referring to your message Apr,20: - Have you ever had an image that could not be computed with the block of comments included in the formula definition be calculated correctly when the block of comments was deleted? Do I interprete you correctly that the comments lines are out of memory during calculation? I think so. So here I repeat the formula once again including the input section, attached, to avoid additional line breaks. In addition the expanded and readable version of the inputs - suitable for printing twisted 90degrees - and some other explanations. The addon has virtually unlimited versatility, so I hardly can scratch the surface and I´m still hoping that other users are going to explore it. Therefore I include a "default" par using only one frm, which can be used to generate own images adding and changing the input values one by one. All questions are welcome. Sincerely, Albrecht ============================start par====================== juliadef { ; Default Julia ; use to generate own images ; Time 0.4.39 1600/1200 ; Albrecht Niekamp Apr22, 2011 reset=2004 type=formula formulafile=mfr.frm formulaname=multifractal_10 function=sin/exp/exp/sin passes=t center-mag=0.0659115/0.0324086/0.8529121/1.0222/90/3.88\ 578058618804789e-016 params=-0.05825983458967864/0.3785210730307932/40000.32\ 595700002/25234.0506020602/151024.0204808192/384.327685\ 24288/384.00482000595/256.1007683001/512.1007683001/768\ .1007683001 float=y maxiter=1024 inside=maxiter outside=tdis logmap=4 periodicity=0 rseed=-2436 colors=000047049<5>0BL0DN0DP<4>0KZ0L`0Mb0Nd0Of0Qh<3>0Up\ 4Yr8atCgvGkxKqz<3>4_s0Vq0Uo<12>0FQ0DO0DM<3>08E06C06A048\ 046024012000100<12>R0LT0NV0PX0P<3>d0Wf0Yh0Z<3>p0e<3>xOt\ zUxyOuwIquCns6iq0g<2>k0bi0`g0_e0Z<3>Y0SW0RU0O<5>I0FG0EE\ 0CC0A<3>304102010<4>0B10D10F10H20J20L20N2<2>0T40V40X3<3\ >0d40f50h5<3>0p6<3>WxZczeUyY<2>0s8<4>0i60g60e60c4<2>0Y4\ 0W30U4<5>0I20G20E20C20A1081<3>0000101221532653863A84DA5\ EB5HB<2>7NG8PI8RJ9TKAVNAXM<3>DdTDfVEhWFjYFlYGn_Gp`Prd<3\ >zzz<2>_ulRsgHqaHo`GmZFkXFiX<5>BYOAWMAUL9SK<4>6IC5GB5DA\ <5>121000001023025 }

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Multifractal_10 (The Shrine)
by Albrecht Niekamp 21 Apr '11

21 Apr '11

Hi, I´m posting this one "in between". If I used Jim´s rating it definitely would get a 10. It´s a zoom into Newton-mandala3, this time using the tan function. For me it has some kind of hypnotic effect which hardly can be escaped, but maybe that´s only for me. Fractals are fun! Albrecht =======================start par========================= 56715ww2 { ; The Shrine ; Time 20.31 1600/1200 ; Colours Lee Skinner ; Albrecht Niekamp Apr21, 2011 reset=2004 type=formula formulafile=mfr.frm formulaname=multifractal_10 function=tan/exp/exp/sin passes=t center-mag=+0.32962098912388370/-0.00000000000000013/16\ 4.1695/1/-90/3.88578058618804789e-016 params=-0.05825983458967864/0.3785210730307932/56715.06\ 595750222/14235.4911030602/152048.0404808048/384.160489\ 4048/384.00482000595/128.1007683001/256.1007683001/512.\ 1007683001 float=y maxiter=3072 inside=maxiter outside=tdis periodicity=0 rseed=-2436 colors=000000zr0zz1zzC<2>zzz<3>jqdfo_blU<3>Mb8<3>LQ8KM8\ KJ8<2>I88H44G00<3>TA5WD6ZF7aI8eLAhMBiODjQF<3>qeBriAtm9v\ q8xu7zz5zz4zz3<4>zj4zg4zc4<3>zS5zP5zL6zI6zE6wE6tD6<6>vA\ Iv9Kv9M<3>x7Sy7Uy6Wz6Yz5_<3>f5Ma5IW4E<2>_4H<3>P3DN2CK2A\ <3>805G0BO0G<3>g0Ul0Xq0`v0d<2>y0fz0gy0h<3>u1mt1ns1or2q<\ 2>v2u<3>c5eZ6`U6X<2>F9LAAG7FO4KW0Qc<3>5Xc6Zc7`c7aa7c_7e\ Y<3>FcgHciJbl<3>S_v<3>civflvinvlqvotvsww<2>zzz<3>rwzovz\ hsw<3>Gch8_d8Xa<3>8JP8FL8CI<3>SCCXCAaB9<3>uA2zA0xA0<12>\ SA1QA1NA1<3>D92<6>UXAW`BYcC<3>hrI<3>UnXRm_NlcJkgFfpAaz<\ 3>PJoSFlWAi_5fc0ce7_jFRoNIzb0zj0 }

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<Richard>Re: "I am working on a prototype for a formula compiler"
by Hal Lane 21 Apr '11

21 Apr '11

Richard, all, You said: > ...I am working on a design/prototype for > a compiler for the formulas that will produce native code at the moment. > That's gelling together nicely... This is great news! Presumably this will solve the issue where certain fractal formulas aren't handled properly -- e.g.: MandelbrotBC3. I calculate each of Jim Muth's FOTDs (at a higher resolution than Jim does) with Fractint for Windows beta 5 and I really enjoy its ability to run in the Windows environment. When Fint4WinB5's image differs from Jim's image, I revert to calculating the image I post using DOS Fractint -- calculated using Disk Video mode -- because I have problems with my graphics card at higher resolutions. > I put in time on it when I can... I hope you can also address the aspect ratio problem of rotated images as I documented in your Iterated Dynamics Issue Tracker. I also gave a quick overview of the problem with some screen caps: http://www.emarketingiseasy.com/TESTS/FOTD/Rotated_zmBoxes_DOS_Fint4Win_beta 5.html or: http://tinyurl.com/zoom-boxes - Hal Lane ######################### # hallane(a)earthlink.net # #########################

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Multifractal_10 (Newton-Mandala)
by Albrecht Niekamp 21 Apr '11

21 Apr '11

Hi, saw that my mail got corrupted. So I repeat it as attachment, hoping it now is clear.Please tell me, if not. Albrecht

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Multifractal_10 (Newton-Mandala)
by Albrecht Niekamp 21 Apr '11

21 Apr '11

Hi, this is another mandala, the Newton-Mandala, similar to Next Generation except a slightly reduced complexity by removing the "warp" effect from inside3. The zoom adds a reset to inside 1 and 2. The third par adds a "warp" effect to the basic shape, and it´s a special one that once more shows the versatility of Multifractal_10. No other changes! Be surprised! I have made up my mind what a kind of software multifractal_10 represents, as it is not a formula, it contains 9 frms itself and it´s not a program as it is designed to work inside Fractint, use most of it´s facilities and possibilities. It´s an add-on that further multiplies the unlimited versatility of the best fractal program in the world. Fractals are fun! Albrecht =======================start par================== 56715 { ; Newton-Mandala ; Time 0.3.33 1600/1200 ; Colours Lee Skinner ; Albrecht Niekamp apr20, 2011 ; mmods-phoen-newt-sec-mmods reset=2004 type=formula formulafile=mfrn.frm formulaname=multifractal_10 function=sin/exp/exp/sin passes=t center-mag=0.29146/0/0.705929/1/90/3.88578058618804789e-016 params=-0.05825983458967864/0.3785210730307932/56715.06595750002/14235.4 \ 911030602/152048.0404808048/384.1604894048/384.00482000595/128.100768300 \ 1/256.1007683001/512.1007683001 float=y maxiter=3072 inside=maxiter outside=tdis periodicity=0 rseed=-2436 colors=000000zr0zz1zzC<2>zzz<3>jqdfo_blU<3>Mb8<3>LQ8KM8KJ8<2>I88H44G00<3 \ >TA5WD6ZF7aI8eLAhMBiODjQF<3>qeBriAtm9vq8xu7zz5zz4zz3<4>zj4zg4zc4<3>zS5zP \ 5zL6zI6zE6wE6tD6<6>vAIv9Kv9M<3>x7Sy7Uy6Wz6Yz5_<3>f5Ma5IW4E<2>_4H<3>P3DN2 \ CK2A<3>805G0BO0G<3>g0Ul0Xq0`v0d<2>y0fz0gy0h<3>u1mt1ns1or2q<2>v2u<3>c5eZ6 \ `U6X<2>F9LAAG7FO4KW0Qc<3>5Xc6Zc7`c7aa7c_7eY<3>FcgHciJbl<3>S_v<3>civflvin \ vlqvotvsww<2>zzz<3>rwzovzhsw<3>Gch8_d8Xa<3>8JP8FL8CI<3>SCCXCAaB9<3>uA2zA \ 0xA0<12>SA1QA1NA1<3>D92<6>UXAW`BYcC<3>hrI<3>UnXRm_NlcJkgFfpAaz<3>PJoSFlW \ Ai_5fc0ce7_jFRoNIzb0zj0 } 56715f { ; Newton-Mandala2 ; Time 0.3.33 1600/1200 ; mmods-phoenix-newton-secant-mmods ; Albrecht Niekamp apr20, 2011 ; Zoom-Additional resets reset=2004 type=formula formulafile=mfr.frm formulaname=multifractal_10 function=sin/exp/exp/sin passes=t center-mag=0.29146/-1.11022e-016/14.11858/1/90/3.88578058618804789e-016 params=-0.05825983458967864/0.3785210730307932/56715.06595750222/14235.4 \ 911030602/152048.0404808048/384.1604894048/384.00482000595/128.100768300 \ 1/256.1007683001/512.1007683001 float=y maxiter=3072 inside=maxiter outside=tdis periodicity=0 rseed=-2436 colors=000000zr0zz1zzC<2>zzz<3>jqdfo_blU<3>Mb8<3>LQ8KM8KJ8<2>I88H44G00<3 \ >TA5WD6ZF7aI8eLAhMBiODjQF<3>qeBriAtm9vq8xu7zz5zz4zz3<4>zj4zg4zc4<3>zS5zP \ 5zL6zI6zE6wE6tD6<6>vAIv9Kv9M<3>x7Sy7Uy6Wz6Yz5_<3>f5Ma5IW4E<2>_4H<3>P3DN2 \ CK2A<3>805G0BO0G<3>g0Ul0Xq0`v0d<2>y0fz0gy0h<3>u1mt1ns1or2q<2>v2u<3>c5eZ6 \ `U6X<2>F9LAAG7FO4KW0Qc<3>5Xc6Zc7`c7aa7c_7eY<3>FcgHciJbl<3>S_v<3>civflvin \ vlqvotvsww<2>zzz<3>rwzovzhsw<3>Gch8_d8Xa<3>8JP8FL8CI<3>SCCXCAaB9<3>uA2zA \ 0xA0<12>SA1QA1NA1<3>D92<6>UXAW`BYcC<3>hrI<3>UnXRm_NlcJkgFfpAaz<3>PJoSFlW \ Ai_5fc0ce7_jFRoNIzb0zj0 } 56715g { ; Newton_mandala3 ; Time 0.45.33 1600/1200 ; Colours Lee Skinner ; Albrecht Niekamp apr20, 2011 ; same as mandala2 except.. ; warp function changed into sqr reset=2004 type=formula formulafile=mfr.frm formulaname=multifractal_10 function=sqr/exp/exp/sin passes=t center-mag=0.282953/-1.11022e-016/14.11858/1/-90/-1.23373533611470521e-0 \ 14 params=-0.05825983458967864/0.3785210730307932/56715.06595750222/14235.4 \ 911030602/152048.0404808048/384.1604894048/384.00482000595/128.100768300 \ 1/256.1007683001/512.1007683001 float=y maxiter=3072 inside=maxiter outside=tdis periodicity=0 rseed=-2436 colors=000000zr0zz1zzC<2>zzz<3>jqdfo_blU<3>Mb8<3>LQ8KM8KJ8<2>I88H44G00<3 \ >TA5WD6ZF7aI8eLAhMBiODjQF<3>qeBriAtm9vq8xu7zz5zz4zz3<4>zj4zg4zc4<3>zS5zP \ 5zL6zI6zE6wE6tD6<6>vAIv9Kv9M<3>x7Sy7Uy6Wz6Yz5_<3>f5Ma5IW4E<2>_4H<3>P3DN2 \ CK2A<3>805G0BO0G<3>g0Ul0Xq0`v0d<2>y0fz0gy0h<3>u1mt1ns1or2q<2>v2u<3>c5eZ6 \ `U6X<2>F9LAAG7FO4KW0Qc<3>5Xc6Zc7`c7aa7c_7eY<3>FcgHciJbl<3>S_v<3>civflvin \ vlqvotvsww<2>zzz<3>rwzovzhsw<3>Gch8_d8Xa<3>8JP8FL8CI<3>SCCXCAaB9<3>uA2zA \ 0xA0<12>SA1QA1NA1<3>D92<6>UXAW`BYcC<3>hrI<3>UnXRm_NlcJkgFfpAaz<3>PJoSFlW \ Ai_5fc0ce7_jFRoNIzb0zj0 }

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FOTD 21-04-11 (A Fascinating Mess [3])
by Jim Muth 21 Apr '11

21 Apr '11

FOTD -- April 21, 2011 (Rating 3) Fractal visionaries and enthusiasts: In today's image I tried something I have rarely if ever tried before. I created a fractal with the inside set to 'startrail'. I'm not sure what to make of the result. After a few minutes pondering, and with nothing better in mind, I named it "A Fasci- nating Mess" The formula is the Mystic2, which draws nothing but empty circles that must be brought to life by an active inside fill. In today's image I chose the image created by the 'startrail' fill, though the other active inside fills also draw interesting images well worth further investigation. With so many hairline tendrils, the image looks best when rendered at the highest resolution available. At the default 640x480 the tendrils break up into little more than scattered dots. The scene is filled with interesting nooks to zoom into and explore. In a few days I might find something down in there worth the exalted status of FOTD, though for all I know, it could be a dead end. Don't be put off by the rating of a humble 3. It is equal to a 5 on the old scale, and the calculation time of only 10 seconds means that no effort will have been wasted if the image is disappointing. The finished image is available on the FOTD web site at: <http://www.crosscanpuzzles.com/Archives.html> a high-definition version is available at: <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> The original FOTD web site may be found at: <http://www.Nahee.com/FOTD/> A cloudy morning here at Fractal Central gave way to a bright sunny afternoon, with a pleasant temperature of 73F 23C. The fractal cats approved of the outside conditions but did not approve of a stray tomcat who sprayed their front door. They responded with thrashing tails. The humans had a reasonably peaceful day, though no day here at FC is ever totally peaceful. The next FOTD will be posted in 24 hours. Until then, take care, and sometimes miracles happen when least expected. Jim Muth jamth(a)mindspring.com START PARAMETER FILE======================================= A_Fascinating_Mess { ; time=0:00:10.05-SF5 on P4-2000 reset=2004 type=formula formulafile=jim.frm formulaname=Mystic2 function=recip passes=1 float=y center-mag=0/0/0.99/1/90/0 params=5/4/-0.6/6/-3/\ -0.5 maxiter=500 inside=startrail periodicity=6 colors=000MDVJLTCFRBKPAMNAAMGFJMKGSbDYcBcm8im5czzU\ wchvceu9btB_tDXsFUrHRqJOqLLpNIoPFnRCnSAlU9kV8iW7hX\ 6fY5eZ4c_3b`2`a1_b0Zc4V`8RYCNVGJSKFPNCNTLQYTSc`Vhh\ XmpZIDbMC_PAWT9TX8Q`6Nd5Kg4HiBNkHSmNXoTaqZfsdkujpw\ puxvzvnuugpt_lrTglI_qLbaQfcPedOdeNdfMchLbiKbjJakI`\ mH`nG_oFZ7bTC_UGYVKWVOTWSRWXPX`NXdKYhIYlGZ5HNAGPEG\ QJGRNFSRFTWFU_FVcEWhEXlEYqUFpQKpMPpIUX_ZaUZfPZkJZk\ `ZlXZmTZnPZoLZpHZTGRdFVWR_YQZZPZ`OZaNZbMZdLZeKZgKZ\ hJZiIZkHZlGZnFZoEZrlpqVgLOvONtQMrTLpVKnYKl_JjbIidH\ ggHeiGclFanE_sa_rUZqMZBJpEInHImKIlNHkPHjSHhVGgYGf`\ GebFdeFbhFakE`nE_E1EH2GJ3HM4IO5KR6LT6MW7OY8P_9QbAS\ dATgBUiCWlDXnEYROjTNiVMhXLgZKf`KebJddIcfHbhHajG`lF\ _nEZMvjOsiQphSmgUjgWgfYee_bda_dcXceUbgSaiPakM`mJ_o\ GZJygMufOreQoeTldVidXecZbba_bcXaeUagQ`jN_lK_nHZ2fa\ 8c`D``IY`NV_SS_XP_aMZfJZkGZnbLo`NoZOoXPoVQoTRoRSpP\ TpNUpLVpJWpHXGSaFR_FQZEQX } 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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Mac port
by Tim Wegner 21 Apr '11

21 Apr '11

We just received an Xfractint patch for the Mac from Marcus Pallinger Very few changes are needed. We'll have to see how it works. Tim

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Re: [Fractint] General discussion
by JackOfTradeZ＠comcast.net 20 Apr '11

20 Apr '11

. Stop moaning you two guys. I'm not too far behind either. So what. Time marches on. Chronologically over 50, body is around 35-40 (active lifestyle benefit) Mind is perpetually 14-18; as long as I can slip an Iron Maiden CD in, crank it up all the way, and rock into it I figure I'm still ok. Constantly driving 15 over the limit w/o getting nabbed helps too. Age is in the mind and spirit. Many people past 50 can't do much technical or mathematic, but you (and I and others) are immersed in the 4th and most recent mathematical and philosophical breakthru in history (the others being calculus, relativity and quantum mechanix). Fractals are a graphical depiction of a very broad and ever expanding field which used to be (sometimes still is) called Chaos Theory, but now referred to as "complex systems" or "non-linear dynamics". It will only get bigger in the years to come. So stay on it! I intend to. BTW, for those interested in the broader aspects of this, and have some coding skills (BASIC or PASCAL), I recommend a book called "Chaos Cookbook". It is somewhat hard to get now, but Amazon has it by 3rd party sellers. Get it while you can! Stay Amazed JoTz .

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Re: [Fractint] FOTD 20-04-11 (Fractal Evaporation [7])
by Brian Prentice 20 Apr '11

20 Apr '11

Recently I showed an image of the FOTD for April 15th rendered by Fracton. You can read Mike Frazer's comments about this here: http://www.fracton.org/fotdtesting.html Here is a rendering by Fracton of today's FOTD: http://linuxenvy.com/bprentice/Fracton/Fractal%20Evaporation.png As you can see it shows features similar to those of the earlier image (Something From Nothing). Do you have any comments on this matter Jim Muth? Does any other reader of this list use Fracton? Brian Prentice

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General Discussion
by Albrecht Niekamp 20 Apr '11

20 Apr '11

HI, thanks, Jim good to know, I´m not alone with this. qte: IMO, "What is the meaning of life?" is the greatest unanswered question facing mankind. And neither religion nor science has anything near an answer that is both believable and satisfying. With this kind of despairing mindset prevailing, no wonder the world is in such turmoil and so many are seeking relief in drugs and trivial distractions such as the plague of violent games now infesting our culture. unqte These are good words. Violence in life and in media and suicide by atomic disasters are symptoms of an apokalyptic end time scenario. I have my own theory about religion and human behaviour, only vagely connected to fractals. Not sure if it´s ok to discuss it here. Tell me. qte: As to how I maintain my interest in fractals, I do nothing. I have never lost the original fascination I felt when I saw the Scientific American article about the Mandelbrot set back in 1984. I have always loved math, mysteries and exploration. What better place to find these things than in the infinitely infinite world of fractals. unqte I must admit that after seven years of abscence from fractals the virus again has caught me. In addition is creativity the most healthy thing you can do for yourself. I think you´ll agree. So I´ll go on. Sincerely, Albrecht

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Anyone have any info re diffs in the DOS environment between WinXP & Win98?
by Hal Lane 20 Apr '11

20 Apr '11

I believe that there may be some significant differences in the DOS environment that DOS programs "see" between WinXP and Win98 (where you could actually boot into the Win98 version of DOS.) I've had a situation with fractals that *would* calculate successfully at 640x480 in Disk Video Mode, but become corrupted when two copies of FRACTINT.EXE were running (calculating different fractals) in two 32-bit WinXP DOS CMD windows at the same time. I seem to remember that I could have several fractals being calculated simultaneously in DOS fractint in separate DOS windows (on the Win98 Windows desktop) and they would all calculate correctly. When doing the same thing in WinXP I find that one fractal will corrupt another being calculated at the same time -- almost as if the two copies of Fractint in the two 32-bit WinXP DOS CMD windows were sharing some of the same memory. Does anyone have any comments or info about this? - Hal Lane ######################### # hallane(a)earthlink.net # #########################

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Hal Lane - A Couple of questions
by Albrecht Niekamp 20 Apr '11

20 Apr '11

Repeating my message as possibly only Hal could see it. Hal, 1st question: Yes, it is 2nd question: Yes, in DOS mode which I have on another machine.I have to leave the "Newdos Commander" to start calculating. With shorter versions it is not necessary. But possibly you´re right and the input section is not the problem. Anyway I´m getting that "insufficient memory" error if I dont close the DOS commander so it´s certain that the limits have been reached. Albrecht -----Original Message----- From: Hal Lane [mailto:hallane@earthlink.net] Sent: Mittwoch, 20. April 2011 04:55 To: Niekamp, Albrecht; Fractint_msg Subject: <Albrecht> A couple of questions. > ...if one or more of the images > using my formulas cannot be generated, ... > Generally I suggest, to delete the input section from the formulas ... > as the fractint buffer reaches its limits. A couple of questions: - Is the "input section" you refer to above the block of comments (";") discussing inputs? - Have you ever had an image that could not be computed with the block of comments included in the formula definition be calculated correctly when the block of comments was deleted? - Hal Lane ######################### # hallane(a)earthlink.net # #########################

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Re: [Fractint] Multifractals
by JackOfTradeZ＠comcast.net 20 Apr '11

20 Apr '11

. keep the formulas coming they are awesome! I especially like flying pyramid. .

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<Albrecht> A couple of questions.
by Hal Lane 20 Apr '11

20 Apr '11

> ...if one or more of the images > using my formulas cannot be generated, ... > Generally I suggest, to delete the input section from the formulas > ... as the fractint buffer reaches its limits. A couple of questions: - Is the "input section" you refer to above the block of comments (";") discussing inputs? - Have you ever had an image that could not be computed with the block of comments included in the formula definition be calculated correctly when the block of comments was deleted? - Hal Lane ######################### # hallane(a)earthlink.net # #########################

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FOTD 20-04-11 (Fractal Evaporation [7])
by Jim Muth 20 Apr '11

20 Apr '11

FOTD -- April 20, 2011 (Rating 7) Fractal visionaries and enthusiasts: NEW FORMULA ALERT! Today's image was created by a new formula, which I tweaked up Tuesday. The formula appears at the end of this message. Delete the initial <frm:> and copy it into your favorite formula file. The formula is the same as the original MandNewt06 except for the new p4 parameter, which adds a variable bailout capabil- ity. Increasing the value of p4 evaporates the images; decreas- ing the value solidifies them. (The exponent is negative and works in reverse.) The image was calculated with a bailout value of 2*(10^-29), a value at which the background has broken up into dots but not yet totally evaporated. Lowering the negative exponent actually increases the parameter value and causes the background dots to become more numerous. Increasing the exponent has the opposite effect. The name "Fractal Evaporation" describes the action. The rating of a 7 would be an 8 on the old scale. I actually think the image is pretty attractive. The calculation work may be avoided by viewing the finished image on the official but unfinished FOTD web site at: <http://www.crosscanpuzzles.com/Archives.html> The image may be seen in hi-def at: <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> The original FOTD web site is still to be found at: <http://www.Nahee.com/FOTD/> but it has not been updated for several months. Weather misery prevailed here at Fractal Central on Tuesday, as a steady rain fell all day and the temperature hardly budged from a chilly 48F +9C. The fractal cats spent the day doing things other than watching the rain. The day of the humans was near normal. The next FOTD will be posted in 24 hours. Until then, take care, and keep checking the new FOTD web site. You never know when some outrageous stuff might be posted there. Jim Muth jamth(a)mindspring.com START PARAMETER FILE======================================= FractalEvaporation { ; time=0:03:30.93-SF5 on P4-2000 reset=2004 type=formula formulafile=mandnewt.frm formulaname=MandNewt06a passes=1 center-mag=-489/\ 448/0.001246667/1/180 params=1/2/3/3/2/1/2e-029/0 float=y maxiter=500 inside=atan periodicity=0 colors=200211322334454666878999BBBDDDFFFHHHJJJLKLM\ MMOOOQQPRRRTTSVVVXXWZYZ___aaaccceeegfghhhiiijjjlll\ nnnpppqqqsssqqqpppnnnllljjjiiigggeeecccbbb```ZZZYY\ YWWWUUUSSSRRRPPPNNNLLLKKKIIIGGGEEEDDDBBB9997775554\ 4422200001203404606807A09C0AE0CG0DI0FK0GM0IO0JQ0LS\ 0MU0OW0PY0R_0Sa0Uc0Ve0Xg0Yi0_k0`m0bo0cq0es0gu0hw0j\ x0kz0jx0hv0gt0er0dp0bn0al0_j0Zh0Xf0Wd0Ub0Ta0R_0QY0\ OW0NU0LS0KQ0IO0HM0FK0EI0CG0BE09C08A068056034022000\ 211432653874A85CA6EC7GE8IF9KHAMJBOLCQMDSOEUQFWSGYT\ H_VIaXJcZKe_LgaMicNkeOmfPohQqjRslSunTwpVxqWzsXxqWv\ pVtnUrlTpjSniRlgQjePhcOfbNd`MbZLaYK_WJYUIWSHURGSPF\ QNEOLDMKCKIBIGAGE9ED8CB7A9687565444322100040060080\ 0A00C00E00G00I00K00M00O00Q00S00U00W00Y00_00a00c00e\ 00g00i00k00m00o00q00s00u00w00x00z00x00v00t00r00p00\ n00l00j00h00f00d00b00a00_00Y00W00U00S00Q00O00M00K0\ 0I00G00E00C00A00800600400 } frm:MandNewt06a {; Jim Muth z=c=(pixel*p1): a=z^3+(c-p2)*z-c b=p3*z^2+c-1 z=z-1*a/b p4 < |a| } END PARAMETER FILE=========================================

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Re: [Fractint] General discussion
by Jim Muth 20 Apr '11

20 Apr '11

At 07:42 AM 4/19/2011 +0200, Albrecht wrote: >Hi, >I´m referring to my (admittedly provocative) statement >some days ago that the fractint forum is dead. >Of course it´s not, otherwise I wouldn´t be doing >this. On the other hand it seems true that the forum >has converted from a community of active members >into a collection of consumers. Yes, I agree. The enthusiasm that prevailed back in the early 1990's such as it did on the old Compuserve Fractint forum has largely vanished. Fractals have become more of a 'look ma, I'm an artist' thing rather than the exploration of new worlds that they were in the beginning. >If you think I´m wrong then prove it. No, I think you're right. >I´m 70 of age and dont have that much time left. I'm in the same age group -- ditto with the remaining time. >And I´m getting tired of throwing my creations into >the void and hoping that by sheer gravity >something returns. I often share the same feeling. >Do you think that my stuff >is junk and not worth discussing? Then say so. Not me. I think your stuff is great. >What´s the reason for this [lack of response]? I think people are simply overwhelmed by your formulas. One of the first comments I read was something like "did somebody actually write that formula", followed by "but there's some incredible detail down there in the image," which shows that your images are much admired. >Are people so involved >in their daily struggle for survival that there´s >no energy left for other activities? Many people are this involved. Sometimes I am almost one of them. >It should be the other way around: I agree. >If nothing else is left then what´s the reason >for living? IMO, "What is the meaning of life?" is the greatest unanswered question facing mankind. And neither religion nor science has anything near an answer that is both believable and satisfying. With this kind of despairing mindset prevailing, no wonder the world is in such turmoil and so many are seeking relief in drugs and trivial distractions such as the plague of violent games now infesting our culture. >Jim, how do You handle this situation. As for the meaning of life, I think about it, and read about it, and then think some more about it. When the thoughts get too intense, I boot Fractint and let the fractals do their thing. As to how I maintain my interest in fractals, I do nothing. I have never lost the original fascination I felt when I saw the Scientific American article about the Mandelbrot set back in 1984. I have always loved math, mysteries and exploration. What better place to find these things than in the infinitely infinite world of fractals. >I´m really interested to know - and please dont talk >about rumours if it´s me who has brought this up. I think that everybody, in the back of their minds, is concerned about the same things you are. As to why you get little response to your great fractals, I feel that people do appreciate your images, but just don't feel like making the small effort to post a comment. JIM

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Anyone have any ideas about this multifractal_10 problem?
by Hal Lane 20 Apr '11

20 Apr '11

I've had a situation where I could calculate an image using multifractal_10 at 640x480 with DOS Fractint under 32-bit WinXP, but when I tried to use Disk Video at the *same* (or higher) resolution, DOS Fractint failed. I had all the memory options for the DOS Properties of FRACTINT.EXE set to Auto. Does anyone have any comments or info about this? - Hal Lane ######################### # hallane(a)earthlink.net # #########################

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FOTD 19-04-11 (Escalator to Heaven [7]) - Multifractal_10 (Escalator)
by Albrecht Niekamp 19 Apr '11

19 Apr '11

Hi, this is my escalator. I did it on the same day, no kidding. Albrecht ==================start par============================== 51615c { ; Escalator ; Zoom into Next Generation Mandala ; Time 39.26 ; Colours Lee Skinner ; Albrecht Niekamp reset=2004 type=formula formulafile=mfr.frm formulaname=multifractal_10 function=sin/exp/exp/sin passes=t center-mag=+0.82264981623092790/+0.00000000000000034/67\ .2826/1/90/-1.23373533611470521e-014 params=-0.05825983458967864/0.3785210730307932/51615.06\ 595760008/14235.4911030602/152048.0404808048/384.160489\ 4048/384.00482000595/128.1007683001/256.1007683001/512.\ 1007683001 float=y maxiter=3072 inside=maxiter outside=tdis periodicity=0 rseed=-2436 colors=000LOr<3>_5fc0ce7_jFRoNIzb0zj0000zr0zz1zzC<2>zzz\ <3>jqdfo_blU<3>Mb8<3>LQ8KM8KJ8<2>I88H44G00<3>TA5WD6ZF7a\ I8eLAhMBiODjQF<3>qeBriAtm9vq8xu7zz5zz4zz3<4>zj4zg4zc4<3\ >zS5zP5zL6zI6zE6wE6tD6<6>vAIv9Kv9M<3>x7Sy7Uy6Wz6Yz5_<3>\ f5Ma5IW4E<2>_4H<3>P3DN2CK2A<3>805G0BO0G<3>g0Ul0Xq0`v0d<\ 2>y0fz0gy0h<3>u1mt1ns1or2q<2>v2u<3>c5eZ6`U6X<2>F9LAAG7F\ O4KW0Qc<3>5Xc6Zc7`c7aa7c_7eY<3>FcgHciJbl<3>S_v<3>civflv\ invlqvotvsww<2>zzz<3>rwzovzhsw<3>Gch8_d8Xa<3>8JP8FL8CI<\ 3>SCCXCAaB9<3>uA2zA0xA0<12>SA1QA1NA1<3>D92<6>UXAW`BYcC<\ 3>hrI<3>UnXRm_NlcJkgFfpAazEXwITu }

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General discussion
by Albrecht Niekamp 19 Apr '11

19 Apr '11

Hi, I´m referring to my (admittedly provocative) statement some days ago that the fractint forum is dead. Of course it´s not, otherwise I wouldn´t be doing this. On the other hand it seems true that the forum has converted from a community of active members into a collection of consumers. If you think I´m wrong then prove it. I´m 70 of age and dont have that much time left. And I´m getting tired of throwing my creations into the void and hoping that by sheer gravity something returns. Do you think that my stuff is junk and not worth discussing? Then say so. What´s the reason for this? Are people so involved in their daily struggle for survival that there´s no energy left for other activities? It should be the other way around: If nothing else is left then what´s the reason for living? Jim, how do You handle this situation, I´m really interested to know - and please dont talk about rumours if it´s me who has brought this up. Sincerely, Albrecht

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FOTD 19-04-11 (Escalator to Heaven [7])
by Jim Muth 19 Apr '11

19 Apr '11

FOTD -- April 19, 2011 (Rating 7) Fractal visionaries and enthusiasts: I recently saw on the list a fractal vaguely resembling a stair- way, an image that brought out my full philosophizing tendencies and condensed them into the automated stairway that is today's FOTD image. The image resembles a stairway to heaven. But this is no every- day stairway. It curves upward so sharply that I decided to name it "Escalator to Heaven". And a person does not need to hold any particular beliefs to ride to the top of the fractal escalator. The image was created by the Mystic formula, one that I wrote many years ago, then filed away when I wrote the Mystic2 formula. The parent fractal is little more than an amorphous mass of stuff, with today's escalator on the west side and a smaller stairway on the east side. (This smaller stairway luckily leads nowhere in the other direction.) The rating of a 7 is equal to the old rating of an 8. The calcu- lation time of only 33 seconds will pass in a flash. But the best way to view the image is to go to the official but far from complete FOTD web site at: <http://www.crosscanpuzzles.com/Archives.html> or to Hal's web site at: <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> where the image is posted in high definition. The original FOTD web site, with the entire back-library of images previous to November 2010 is still up and running at: <http://www.Nahee.com/FOTD/> Monday dawned bright and clear here at Fractal Central, but clouds moved in by 9am and hung around the rest of the day. The temperature of 64F 18C was mild enough, but would have been more enjoyable if there had been sun to go with the mild conditions. The fractal cats, who care not at all about outside conditions, kept themselves happy indoors. Nicholas spent the afternoon as a lump under an afghan. Cassandra slept on the couch. The humans had an average day, which is all that can be hoped for. The next FOTD will be posted in 24 hours. Until then, take care, and don't blame me if I use the logical mind God gave me to think logically about religion. Jim Muth jamth(a)mindspring.com START PARAMETER FILE======================================= EscalatorTo_Heaven { ; time=0:00:33.06-SF5 on P4-2000 reset=1960 type=formula formulafile=basicer.frm formulaname=Mystic function=ident/asin passes=1 center-mag=-0.4235/0/3.205128/1/90/0 params=0.75/0\ /0/0/1/0 float=y maxiter=100 inside=bof60 logmap=yes periodicity=6 colors=00066j66i66h76g76f76e77d87c87b87a87`97_97Z9\ 7Y97XA7WA7VA8UA8TB8SB8RB8QB8PC8OC8NC8MC8LD8KD9JD9I\ D9HE9GE9FE9EE9DFADGADHADIBDJBEKCELCEMDENDFOEFPEFQF\ FRFFSGGTGIUHKVHMXIOYIQZIS_JU`JWaKYbKZcLZdLZeMcfMcg\ NchNciOcjOckPclQhmShnUmnUmnXmnXro`vo`zo`zoczoczocz\ ohzphzphzpmzpmzpmzprzprzprzqwzrwzszztzzuzzvzzwzzxz\ zyzzzzzpEKpGJpHJpIIpJIpKHpMGpNGpOFpPFpQEpSEoTDoUCo\ VCoWBoXBoYAo_9o`9oa8ob8oc7od6of6og5oh5oi4oj4mi6lh8\ jg9ifBgeCfdEdcGcbHaaJ``K__MYZOXYPVXRUXSSWURVVPUXOT\ ZNS_LRaKQbIPdHOfFNgEMiCLjBKlAKm9Ln9Mn9Mn9Nn8No8Oo8\ Po8Po8Qo8Qo8Ro8So7Sp7Tp7Tp7Up7Vp7Vp7Wp7Xq6Xq6Yq6Yq\ 6Zq6_q6_q6`q5`r5ar5br5br5cr5cr5dr5er4es4fs4fs4gs4g\ s5ft6et7et8dt9ctAbtBbtCatD`tE`tF_tGZtHZtIYtJXtKWtL\ WtMVtNUtOUtPTtQStRRtSRtTQtUPtVPtWOtXNtYNtZMt_Lt`Kt\ aKtbJtbJtaLraNqaPpaRoaTnaVmaWkaYja_iaahacgbbjb`lb_\ naWq45q45p55o55n55m65l65k } frm:Mystic {; Jim Muth c=pixel, z=sqr(pixel)+(p1*(pixel)): z=sqr(sqr(z)+(p2*(c)))+(p3*(fn1(c))) c=fn2(c), LastSqr <= 100 } END PARAMETER FILE=========================================

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Multifractal_10
by Albrecht Niekamp 18 Apr '11

18 Apr '11

Hi, the name Next Generation Mandala has proved absolutely correct. I had a feeling it would turn out that way, cause I knew that using the mmods formula twice in an image creates unlimited complexity. Hail to Linda Allison! Does anyone know what has become of her? This one came about after some maximum zooms into the center and then into one of the outside circles. Jack, how about a new edition of Mandalaz ?? The zooms are reasonably fast so I think it should be possible, but you know better. Fractals are fun! Albrecht ======================start par========================== 51615dz1 { ; Brot Wearing Jeans ; Deep Zoom into an outer circle ; Time 09.51 ; Lee Skinner Colours ; Albrecht Niekamp Apr18, 2011 reset=2004 type=formula formulafile=mfr.frm formulaname=multifractal_10 function=sin/exp/exp/sin passes=t center-mag=+0.00000017410676834/+0.00010542350380415/11\ 2948.6/1/90/-1.23373533611470521e-014 params=-0.05825983458967864/0.3785210730307932/51615.06\ 595760008/14235.4911030602/152048.0404808048/384.160489\ 4048/384.00482000595/128.1007683001/256.1007683001/512.\ 1007683001 float=y maxiter=3072 inside=maxiter outside=tdis periodicity=0 rseed=-2436 colors=000LOr<3>_5fc0ce7_jFRoNIzb0zj0000zr0zz1zzC<2>zzz\ <3>jqdfo_blU<3>Mb8<3>LQ8KM8KJ8<2>I88H44G00<3>TA5WD6ZF7a\ I8eLAhMBiODjQF<3>qeBriAtm9vq8xu7zz5zz4zz3<4>zj4zg4zc4<3\ >zS5zP5zL6zI6zE6wE6tD6<6>vAIv9Kv9M<3>x7Sy7Uy6Wz6Yz5_<3>\ f5Ma5IW4E<2>_4H<3>P3DN2CK2A<3>805G0BO0G<3>g0Ul0Xq0`v0d<\ 2>y0fz0gy0h<3>u1mt1ns1or2q<2>v2u<3>c5eZ6`U6X<2>F9LAAG7F\ O4KW0Qc<3>5Xc6Zc7`c7aa7c_7eY<3>FcgHciJbl<3>S_v<3>civflv\ invlqvotvsww<2>zzz<3>rwzovzhsw<3>Gch8_d8Xa<3>8JP8FL8CI<\ 3>SCCXCAaB9<3>uA2zA0xA0<12>SA1QA1NA1<3>D92<6>UXAW`BYcC<\ 3>hrI<3>UnXRm_NlcJkgFfpAazEXwITu }

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Multifractal_10
by Albrecht Niekamp 18 Apr '11

18 Apr '11

Hi, this is another zoom into the "Next Generation Mandala". Phoenix is the middle part, secant on inner and outer side. I used Lee Skinner´s colours. It is what I call an "overnight fractal", especially if you´re using line by line generating, but worth waiting, definetly. Sincerely, Albrecht =======================start par======================== 51615d { ; Phoenix Division ; phoenix part of n.g.mandala ; mmods-secant-phoenix-secant-mmods ; time 1.19.22 ; using Lee´s colours reset=2004 type=formula formulafile=mfr.frm formulaname=multifractal_10 function=sin/exp/exp/sin passes=t center-mag=+0.82383982258501190/+0.00988986571121139/49\ 4.725/1/32.5000000000011369/-1.90794602339394714e-012 params=-0.05825983458967864/0.3785210730307932/51615.06\ 595760008/14235.4911030602/152048.0404808048/384.160489\ 4048/384.00482000595/128.1007683001/256.1007683001/512.\ 1007683001 float=y maxiter=3072 inside=maxiter outside=tdis periodicity=0 rseed=-2436 colors=000LOr<3>_5fc0ce7_jFRoNIzb0zj0000zr0zz1zzC<2>zzz\ <3>jqdfo_blU<3>Mb8<3>LQ8KM8KJ8<2>I88H44G00<3>TA5WD6ZF7a\ I8eLAhMBiODjQF<3>qeBriAtm9vq8xu7zz5zz4zz3<4>zj4zg4zc4<3\ >zS5zP5zL6zI6zE6wE6tD6<6>vAIv9Kv9M<3>x7Sy7Uy6Wz6Yz5_<3>\ f5Ma5IW4E<2>_4H<3>P3DN2CK2A<3>805G0BO0G<3>g0Ul0Xq0`v0d<\ 2>y0fz0gy0h<3>u1mt1ns1or2q<2>v2u<3>c5eZ6`U6X<2>F9LAAG7F\ O4KW0Qc<3>5Xc6Zc7`c7aa7c_7eY<3>FcgHciJbl<3>S_v<3>civflv\ invlqvotvsww<2>zzz<3>rwzovzhsw<3>Gch8_d8Xa<3>8JP8FL8CI<\ 3>SCCXCAaB9<3>uA2zA0xA0<12>SA1QA1NA1<3>D92<6>UXAW`BYcC<\ 3>hrI<3>UnXRm_NlcJkgFfpAazEXwITu }

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Re: [Fractint] 67156d Fractal tower
by JackOfTradeZ＠comcast.net 18 Apr '11

18 Apr '11

. I dont see a staircase, but the image is quite chaotic. Try zooming back out - it is interesting. At around E-004 it looks like a brite red curtain over a spherical "universe" unfolding, then further back out a series of concentric circles. Strange. .

2 1

FOTD 18-04-11 (Belief in the Outcome [4])
by Jim Muth 18 Apr '11

18 Apr '11

FOTD -- April 18, 2011 (Rating 4) Fractal visionaries and enthusiasts: Today's image rates a 4. But this is on the new scale. On the old scale it would rate a respectable 6. The name "Belief in the Outcome" means whatever the fractal fan wishes. The actual image shows a minibrot rather deep in the parent fractal that results when the formula Z^(1.75)+C is iterated just one level down the logarithmic ladder. This parent fractal is a lopsided thing squashed on the X-axis, with one large mis-shaped bud on the north side and two buds on the south side. Today's scene is located in a kind of East Valley of an out-of-place but large minibrot just inland of the northeast shore line of the main bay. The calculation time of 8-1/2 minutes is admittedly more than the image is worth. The way out of this dilemma is to view the already-calculated image on the FOTD web site at: <http://www.crosscanpuzzles.com/Archives.html> and in high definition at: <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> The classic FOTD web site, with all the past images, may still be accessed at: <http://www.Nahee.com/FOTD/> though I would not count on it being there forever. After Saturday's downpour, Sunday's scattered heavy clouds seemed fair indeed here at Fractal Central. The temperature of 59F 15C was spoiled by a strong wind however, which made it feel quite chilly in the open. The fractal cats chased the sun during the times it was out, and slept when the clouds moved in. The humans took it easy most all day. The next FOTD will be posted in 24 hours. Until then, take care, and rational thinkers believe in quarks, which no one has seen, and at the same time, do not believe in ghosts, which many have seen. I guess it's all in the mind. Jim Muth jamth(a)mindspring.com START PARAMETER FILE======================================= BeliefInTheOutcome { ; time=0:08:24.22-SF5 on P4-2000 reset=2004 type=formula formulafile=jim.frm formulaname=MandelbrotBC3 function=ident passes=1 center-mag=+0.9062916652297548/+0.3114101611961053\ /7.976225e+010/1/-97.5/0 params=1.75/0/-1/0 float=y maxiter=5200 inside=0 logmap=632 periodicity=6 colors=000PGPPJHPIAPG2PZmPEcPEKPFIPThPN_PHR4BI259u\ jmmdffZ`_TVTNPLHIEBC706zcUkKlcHdWDXOcOGcG8c8ccEmcC\ zcAUc8Mc6Fc47c2LcRIUNFUKDUGAUD7UA5zm2zm5zm3zm2zm1z\ 1HzMDzHAzD6z83z4qzIRz9xzsdzOUzIzzCzz6zzMzzJzzGzzDz\ zBzz8zz5zz2zzNzzezzgzzizzjzzlzzmzznzzhzzczzZzzUzzO\ zzRzzUzzZzzczzhzzmzzmzzrzzvzzzzzzzzzzzzzzzzzzUNHUM\ YULWUKUUJSUIQUHOUGMUFKT2ATp5MCLNHzKFImCmDACus96563\ 23C5VA4R93N73J62F41B317103e_A_U8UP7OK5IF4CA2651x`Q\ WcPRYLMSHIMEDHA9B7453PjQLdMIZJFTGCND9H96B6353dHj6X\ N4QI3JD2D91640cI000027013EJXAEO79G348q3f_2SI1EzvCs\ nAlg9d_7YT6MM4EE3771xncUPKmaP`SIPJCC96psqkpicjaW_U\ OPNGEF877PmpXpWObOGQG8D88p46z35q24U23M12F1170uCWi9\ PY7JN4CB26gD0mB0V90z70I50C30610dcxrcR0cqNcnJceFcYB\ cP7cH3c8PcnKceGcYCcP8cH4c8mgw`zhPzUCzFzzyoznezdzzV\ zzKzzAzz6zz4zz2zz0zz0zz0zz07zz4zz2zzCzzAzz9zz7zz6z\ z4zz3zz1zzszzYzzTzzPzzLzz } 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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Multifractal_10
by Albrecht Niekamp 17 Apr '11

17 Apr '11

Hi, this is a light zoom into the next generation mandala, as impressive as the complete one. Please try your own zooms into the hypercomplex parts and present them if you like. Sincerely, Albrecht ===========================start par===================== 51615a { ; Fireworks ; mmods-sec-phoen-sec-mmods ; time 0.43.58 ; zoom into the next g.mandala ; Albrecht Niekamp Apr 17, 2011 reset=2004 type=formula formulafile=mfr.frm formulaname=multifractal_10 function=sin/exp/exp/sin passes=t center-mag=0.839658/3.05311e-016/5.786304/1/90/3.885780\ 58618804789e-016 params=-0.05825983458967864/0.3785210730307932/51615.06\ 595760008/14235.4911030602/152048.0404808048/384.160489\ 4048/384.00482000595/128.1007683001/256.1007683001/512.\ 1007683001 float=y maxiter=3072 inside=maxiter outside=tdis periodicity=0 rseed=-2436 colors=20009C<3>034022000<8>IF9KHAMJBOLCQMDSOE<8>icNkeO\ mfP<3>unTwpVxqWzsX<25>CB7A96875<3>000400<23>o00q00s00<3\ >z00<25>C00A00800<3>000<11>LLLNNNPPPQQQSSSUUU<6>fffgggi\ iijjjlll<3>sss<25>BBB999777<2>222000012<22>0_k0am0bo0cq\ <3>0jx0kz0jx<23>0BE }

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Multifractal_10
by Albrecht Niekamp 17 Apr '11

17 Apr '11

Hi, no words needed about this one. Judge yourself. Sincerely, Albrecht ========================start par======================== 51615 { ; Next Generation Mandala ; mmods-sec-phoen-sec-mmods ; time 0.40.33 ; Albrecht Niekamp Apr,17 2011 reset=2004 type=formula formulafile=mfr.frm formulaname=multifractal_10 function=sin/exp/exp/sin passes=t center-mag=0.29146/0/0.705929/1/90/3.88578058618804789e\ -016 params=-0.05825983458967864/0.3785210730307932/51615.06\ 595760008/14235.4911030602/152048.0404808048/384.160489\ 4048/384.00482000595/128.1007683001/256.1007683001/512.\ 1007683001 float=y maxiter=3072 inside=maxiter outside=tdis periodicity=0 rseed=-2436 colors=20009C<3>034022000<8>IF9KHAMJBOLCQMDSOE<8>icNkeO\ mfP<3>unTwpVxqWzsX<25>CB7A96875<3>000400<23>o00q00s00<3\ >z00<25>C00A00800<3>000<11>LLLNNNPPPQQQSSSUUU<6>fffgggi\ iijjjlll<3>sss<25>BBB999777<2>222000012<22>0_k0am0bo0cq\ <3>0jx0kz0jx<23>0BE }

1 0

Multifractal_5 - MXD2001Z
by Albrecht Niekamp 17 Apr '11

17 Apr '11

Hi, when I saw Lee´s fantastic image, I couldn´t resist. Hope you dont mind, Lee. In some parts it seems to be a pointillistic painting. That does not mean Fractint has reached it´s limits. There are more complexities hidden underneath! Wow! Sincerely, Albrecht ======================start par=========================== MXD2001Z { ; Flying Pyramid ; Zoom into Lee Skinner´s MXD2001 ; Time 0.48.47 XP DOS Shell ; Antique FRM Version ; Use ONLY for this purpose reset=2004 type=formula formulafile=mfr.frm formulaname=multifractal_5 ismand=y function=exp/exp/exp/sin passes=t center-mag=1.52675/0.00263504/18.29747/1/-90/3.88578058\ 618804789e-016 params=-0.1156346324045534/-0.5338602862636189/14237.32\ 00001/72500.13140216052/2048.02048/384.0000049/768.0002\ 4/128.0076800000001/768.0076800000001/1024.00768 float=y maxiter=2048 inside=maxiter outside=tdis logmap=4 symmetry=none periodicity=0 rseed=-2436 cyclerange=2/255 colors=000000zr0zz1zzC<2>zzz<3>jqdfo_blU<3>Mb8<3>LQ8KM8\ KJ8<2>I88H44G00<3>TA5WD6ZF7aI8eLAhMBiODjQF<3>qeBriAtm9v\ q8xu7zz5zz4zz3<4>zj4zg4zc4<3>zS5zP5zL6zI6zE6wE6tD6<6>vA\ Iv9Kv9M<3>x7Sy7Uy6Wz6Yz5_<3>f5Ma5IW4E<2>_4H<3>P3DN2CK2A\ <3>805G0BO0G<3>g0Ul0Xq0`v0d<2>y0fz0gy0h<3>u1mt1ns1or2q<\ 2>v2u<3>c5eZ6`U6X<2>F9LAAG7FO4KW0Qc<3>5Xc6Zc7`c7aa7c_7e\ Y<3>FcgHciJbl<3>S_v<3>civflvinvlqvotvsww<2>zzz<3>rwzovz\ hsw<3>Gch8_d8Xa<3>8JP8FL8CI<3>SCCXCAaB9<3>uA2zA0xA0<12>\ SA1QA1NA1<3>D92<6>UXAW`BYcC<3>hrI<3>UnXRm_NlcJkgFfpAaz<\ 3>PJoSFlWAi_5fc0ce7_jFRoNIzb0zj0 } FRM:multifractal_5 { ; Albrecht Niekamp 230603 ; da=real(p2) dd=trunc(da) da=round((da-dd)*10000000)+11111 d=trunc(dd/10000) ex0=d>5 d=d-5*ex0 vb=(d==3)+(d==4) dd=dd-d*10000 d=trunc(dd/1000) ex1=d>0 dd=dd-d*1000 rs1=d>5 d=d-5*rs1 v1m=(d==3) v1j=(d==4) dd1=(d==2)+(d==4) d=trunc(dd/100) ex2=d>0 dd=dd-d*100 rs2=d>5 d=d-5*rs2 v2m=(d==3) v2j=(d==4) dd2=(d==2)+(d==4) d=trunc(dd/10) ex3=d>0 dd=dd-d*10 rs3=d>5 d=d-5*rs3 v3m=(d==3) v3j=(d==4) dd3=(d==2)+(d==4) ex4=dd>0 rs4=dd>5 dd=dd-rs4*5 v4m=(dd==3) v4j=(dd==4) dd4=(dd==2)+(dd==4) tt=ex0+ex1+ex2+ex3+ex4 ; mm=trunc(da/100000) da=da-mm*100000 d=trunc(da/10000) ab=(d==2) da=da-d*10000 d=trunc(da/1000) ab1=(d==2) da=da-d*1000 d=trunc(da/100) ab2=(d==2) da=da-d*100 d=trunc(da/10) ab3=(d==2) da=da-d*10 ab4=(da==2) ; d=imag(p2) t=d<0 if (t) d=-d endif dd=trunc(d) d=round((d-dd)*10000000000) pp=trunc(dd/100)/10 dd=dd-1000*pp da=trunc(dd/10) so1=((da==1)+(da==4)==0) so2=((da==2)+(da==4)==0) so3=((da==3)+(da==4)==0) dd=dd-10*da ir1=(dd==1)+(dd==4) ir2=(dd==2)+(dd==4) ir3=(dd==3)+(dd==4) ; p0=trunc(d/100000000)/10 d=d-p0*1000000000 p6=trunc(d/1000000)/10 d=d-p6*10000000 if (t) p6=-p6 endif p7=trunc(d/10000)/10 d=d-p7*100000 p8=trunc(d/100)/100 d=d-p8*10000 p9=d/100 ; d=real(p3) mb=trunc(d) ba=(d-mb)*100000 ; d=imag(p3) sfac=trunc(d) b1=(d-sfac)*100000 b0=b1/2 ; d=real(p4) ofac=trunc(d) b2=(d-ofac)*100000 ; d=imag(p4) mi1=trunc(d) fac1=(d-mi1)*100000 ; d=real(p5) mi2=trunc(d) fac2=(d-mi2)*100000 ; d=imag(p5) mi3=trunc(d) fac3=(d-mi3)*100000 ; bg=((ab+vb)==0) bg1=((ab1+v1j)==0) bg2=((ab2+v2j)==0) bg3=((ab3+v3j)==0) bg4=((ab4+v4j)==0) ; if (ismand) z=0 if (vb) c=0.4*log(sqr(pixel^mm)) else c=pixel endif else if (bg) c=p9 else c=p1 endif z=pixel endif t=0 d3=(ismand==0) u=d3 bo=z p=pp : If (tt) t=t+1 if ((ex0) && bo>b0) u=2*(fn1(t/sfac)) if (ismand) z=z*u if (vb) c=0.4*log(sqr(pixel^mm)) ba=mb else c=pixel endif else z=pixel if (bg) c=p9*u else c=p1*u p=pp+u endif endif ex0=0 tt=tt-1 elseif ((ex1) && bo>b1 && bo<b2) u=2*(fn2(t/ofac)) rs=rs1 ab=ab1 if (dd1) if (rs) z=pixel endif vb=v1j d3=1 if (bg1) c=p9*u else c=p1*u p=pp+u endif else d3=0 z=z*u c=z if (rs) z=0 endif vb=v1m if (vb) if (so1) mm=mm+mm endif c=0.4*log(sqr(pixel^mm)) ba=mb endif endif if (ir1) t=0 endif ex1=0 tt=tt-1 elseif ((ex2) && t>mi1) u=2*(fn2(t/fac1)) rs=rs2 ab=ab2 if (dd2) if (rs) z=pixel endif vb=v2j if (bg2) c=p9*u else c=p1*u p=pp+u endif d3=1 else d3=0 z=z*u c=z if (rs) z=0 endif vb=v2m if (vb) if (so2) mm=mm+mm endif c=0.4*log(sqr(pixel^mm)) ba=mb endif endif if (ir2) t=0 endif ex2=0 tt=tt-1 elseif ((ex3) && t>mi2) u=2*(fn3(t/fac2)) ab=ab3 rs=rs3 if (dd3) if (rs) z=pixel endif vb=v3j if (bg3) c=p9*u else c=p1*u p=pp+u endif d3=1 else d3=0 z=z*u c=z if (rs) z=0 endif vb=v3m if (vb) if (so3) mm=mm+mm endif c=0.4*log(sqr(pixel^mm)) ba=mb endif endif if (ir3) t=0 endif ex3=0 tt=tt-1 elseif ((ex4) && t>mi3) u=2*(fn4(t/fac3)) ab=ab4 rs=rs4 if (dd4) if (rs) z=pixel endif vb=v4j if (bg4) c=p9*u else c=p1*u p=pp+u endif d3=1 else d3=0 z=z*u c=z if (rs) z=0 endif vb=v4m if (vb) if (so2) mm=mm+mm endif c=0.4*log(sqr(pixel^mm)) ba=mb endif endif ex4=0 tt=tt-1 endif endif if (vb) if (d3) n=z^p-1 d=p*z*z z=z-n/d else z2=fn1(z)+c ;Linda Allison q=cos(z2) z=c*(1-q)/(1+q) endif elseif (ab) z=z*z+c+c*c-p7 ;Pusk s Istv n elseif (d3) z1=fn1(z)-c ;Ray Girvan z2=z1^p8-1 z3=p8*(z1^(p8-1)) z=z-(z2/z3) else z2=z*z ;Pusk s Istv n z=z2*z2+(p6+u)*z2+c-p0 endif bo=|z| bo<=ba }

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FOTD 17-04-11 (Multiple Glories [No Rating]) - Multifractal_10
by Albrecht Niekamp 17 Apr '11

17 Apr '11

Ref. FOTD 17-04-11 (Muliple Glories) Hi Jim, thanks for your efforts to create an own image with multifractal. You´re the first one ever! I sincerely hope to encourage you not to give up. There is one fundamental thing you have to understand about Multifractal_10 and it´s preliminary versions: Only the P1 values remain untouched. All other parameters P2 to P5 have been "misused" to serve as variables for multifractal, due to lack of other input possibilities of course. If you set them to zero you´re deleting the variables and cant get anything but a blank screen. Additionally they have been split into several parts, the values before and after the dot. If you look at the inputs section of the frm you´ll notice the comma after the first value which defines the separate parts. The part after the dot (second input) has been split into several single pieces again. In some instances a single digit is an important variable. I´ll explain that with Real(p2): First Input, in front of the dot, defines the 5 numbers of the participating formulas to use in the following order: Shape - outside - inside 1,2,3. These formulas are listed at the end of the of the multifractal "program" to keep the name. - About myself: In the eighty´s and ninety´s I have published some programs for the Atari Xl among others a fractal program with implemented 3d functions and my own kind of "Julia", not knowing the name of course - Second input, after the dot: 6 digits, -2 digits each- basic variables for many mods, phoenix and spider. 1 digit: transition reset for the shape as foll: 0: no reset, 1: double mandel variation 2: iter reset, (counter set to zero) 3: both. Add 5 to these values te enable the "warp effect", this is explained in the "manual" 4 digits: reset values for channels 2-5 as follows: 0: no reset, 1: z_reset, 2: iter_reset, 3: both, add 5 to these values : "warp effect". Transitions means the dot of the image, where the use of another participating formula starts. Here´s the list of the used frms once more: (1) Secant (Mike Wareman) (2) Mandel (Special version Puskas Istvan) (3) Bees (Ray Girvan) (4) Julia (Special version Puskas Istvan) (5) Many mods (Linda Allison) (6) Phoenix (Mike Wareman) (7) Newton (Special Version Puskas Istvan) (8) Spiderjul (John Horner). Using this scheme it should be possible to understand the other inputs. I know I should have done this earlier, but some times you just expect too much. There is one big comment and a commented listing of the program when I published the first version. It´s not uptodate anymore but it may help to understand, what´s going on. If there´s a request I´ll repeat it here. These explanations also included as attachment to keep them available. Sincerely, Albrecht

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FOTD 17-04-11 (Multiple Glories [No Rating])
by Jim Muth 17 Apr '11

17 Apr '11

FOTD -- April 17, 2011 (No Rating) Fractal visionaries and enthusiasts: With nothing better to do on Saturday, I started playing with the monumental multifractal_10 formula. To begin I set all the parameters to zero and all the functions to ident, which means no function. My intention was to see the default starting-point fractal, but the result was a glorious blank screen. Then I turned on the randomizer and randomized both the para- meter values and functions. Again, no luck. So I set the para- meter randomizing range to 10000, and finally a few hints of images appeared on the screen. Nothing worth a FOTD. Next, I turned to one of the posted images, set the center coordinates to 0,0 and turned off the parameters and functions one at a time until the screen turned blank. When I started turning things back on, today's image then appeared as kind of a perpetual image that is immune to function and many parameter changes. I'm not sure that it can be called a default starting point, but it's still a reasonably attractive image, well worth FOTD status. One thing I noticed is that the multifractal_10 formula is basically a stand-alone fractal generating program. The name "Multiple Glories" is more a wish than a fact, but I'm sure the formula has many glories in it. If only I could deter- mine how the bring them out. Since I did basically nothing to create the image but turn things off, I could give it no rating. Luckily, the image has XY-symmetry, which cuts the calculation time to a zippy 44 seconds. The multifractal_10 formula is so long that I did not include it in the parameter file, but the formula is readily available on the Fractint list. The finished image is available, and without calculation, on the currently active FOTD web sites at: <http://www.crosscanpuzzles.com/Archives.html> and <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> The latter site has the image in high-definition. The entire history of the FOTD from April 1997 through October 2010 is available at: <http://www.Nahee.com/FOTD/> Saturday brought all-day heavy rain to Fractal Central. The wetness and chilly temperature of 50F 10C was of minor concern, especially to the fractal cats, who never have been out in the rain and probably never will be. The day of the humans was on the slow side. We could have done more on the web site, but enough is enough, and we'll have ample opportunity to work like fiends on the web site in the upcoming days. As for the next upcoming fractal, it will be posted in 24 hours. Until then, take care, sleep well, and dream happy dreams of sugar-fractals. P.S. I just found a kind of multifractal_10 instruction manual on the list. Maybe it will give a better understanding of the formula. Jim Muth jamth(a)mindspring.com START PARAMETER FILE======================================= Multiple_Glories { ; time=0:00:44.50-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=multifractal_10 function=ident/ident/\ ident/ident passes=t center-mag=0/0/0.5085022 params=0/0/0/10000/151000/0/0/0/0/0 float=y maxiter=3000 inside=maxiter outside=tdis logmap=3 symmetry=xyaxis periodicity=0 rseed=-2436 colors=20000001203404606807A09C0AE0CG0DI0FK0GM0IO0\ JQ0LS0MU0OW0PY0R_0Sa0Uc0Ve0Xg0Yi0_k0am0co0eq0gs0iu\ 0kv0mx0oz0qz0sz0uz0wz0xz0yz0zz0zz0zz0zz0wz0tz0qz0n\ z0kz0iz0gz0ez0cz0az0_z0_z0Yz0Wz0Vz0Uz0Tz0Sz0Rz0Qz0\ Pz0Oz2Nz4Mz6Lz8KzAIzCGzEEzGDzIFvKHrMJmOLhQMcSOZUNV\ WNRYMN_MJaMJcMJeMJgMJiLJkLJlLJmLJmLJnKKnKKnKKoKKoK\ KpJKpJKqJKqJKqJKrJKrILsILsILtILtILtHLuHLuHLvHLvHLw\ EKxFLyFLzGLzGLzHLzHLzIMzIMzJMzJMzJMzKMzKNzLNzMNzNN\ zONzPNzQNzROzSOzTOzUOzVOzWOzXPzYPzZPz_PzaPzcPzePzg\ QziQzkQzmQzoQzqQzsRzuRzvRzwRzzRzzRzzSzzSzzSzzSzzSz\ zSzzSzzTzzTzzTzzTzzTzzTzzUzzUzzUzzUzzmzzmzzmzzmzzm\ zzmzzmzzmzzmzzmzzmzzmzzmzzmzzmzzmzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzz } END PARAMETER FILE=========================================

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Multifractal_10
by Albrecht Niekamp 16 Apr '11

16 Apr '11

Hi, the image may seem a bit chaotic at first glance, pending monitor quality and resolution. If so, watch from a distance. Imagine you´re inside a tower on the highest staircase level and look down through the opening in the middle of the stairs. The effect was achieved by using Phoenix for shape and inside3. Tell me if you like it. Sincerely, Albrecht =======================start par========================== 67156d { ; Fractal tower ; Time 0.9.34 ; phoen-newt-secant-mmods-phoen ; XP DOS Shell ; Albrecht Niekamp, Apr17, 2011 reset=2004 type=formula formulafile=mfr.frm formulaname=multifractal_10 function=sin/exp/exp/sin passes=t center-mag=+0.62465190426710100/-0.53531057873144380/19\ 08.948/1/90/3.88578058618804789e-016 params=-0.05825983458967864/0.3785210730307932/67156.64\ 595777122/14235.4911030602/152048.0404808048/384.160489\ 4048/384.00482000595/128.1007683001/256.1007683001/512.\ 1007683001 float=y maxiter=3072 inside=maxiter outside=tdis periodicity=0 rseed=-2436 colors=20009C<3>034022000<8>IF9KHAMJBOLCQMDSOE<8>icNkeO\ mfP<3>unTwpVxqWzsX<25>CB7A96875<3>000400<23>o00q00s00<3\ >z00<25>C00A00800<3>000<11>LLLNNNPPPQQQSSSUUU<6>fffgggi\ iijjjlll<3>sss<25>BBB999777<2>222000012<22>0_k0am0bo0cq\ <3>0jx0kz0jx<23>0BE }

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Multifractal_10
by Albrecht Niekamp 16 Apr '11

16 Apr '11

Hi, for those of you who are interested in multifractals here is an expanded, readable version of the Multifractal_10 inputs. I did not have it on my computer anymore, but found it in Lee´s formula collection. THANK you, Lee! Sincerely, Albrecht

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Re: [Fractint] 6mxd2001
by Albrecht Niekamp 16 Apr '11

16 Apr '11

Lee, ref. 6mxd2001 To be certain I put your par into my own database and changed the formula base to mfr.frm. Could detect no difference at all inspite of calculating with tesseral (about 30Min). To check yourself I include my version. IT´s a fantastic image! Albrecht -----Original Message----- From: Lee H. Skinner [mailto:skinner@thuntek.net] Sent: Samstag, 16. April 2011 01:56 To: Albrecht Niekamp Cc: bprentice(a)webenet.net; Hal Lane; Richard Subject: Re: [Fractint] Multifractal_10 Albrecht, You once posted an image called Mixdown2. My MIXDOWN2.PAR (in skinner_multifractals.zip) is an example of what I came up with when I played with zooming in and out of one of your posted images. My 6mxd2001.gif is the same as yours, except that I've used a different color map. Attached are the thumbs for all 24 of my images in MIXDOWN2.PAR. My Multifractal images on Sylvie's website are just the tip of the iceberg. I hope your e-mail can receive the two thumbnail images which can verify if you are getting the same image. I'd also be glad to send you the full 1600x1200 image of any of these that you want. I'm also copying this to some other dedicated Fractint users. Lee

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FOTD 16-04-11 (Blithe Eidolon [5])
by Jim Muth 16 Apr '11

16 Apr '11

FOTD -- April 16, 2011 (Rating 5) Fractal visionaries and enthusiasts: In today's image we venture into the parent fractal that comes about when the formula Z^(1.15)+C is calculated at a level 11.5 turns down the complex logarithmic hyperspiral when no function is applied. The name "Blithe Eidolon", is a fancy way of saying 'happy ghost'. It refers to the parent fractal, which resembles a chubby but happy ghost flitting merrily off to the east- northeast, its short plump arms protruding through its sheet. Today's image is located in a stream of chaotic debris extending from the ghost's upper arm. Actually, it's a bit incredible that such fractals exist at all. The value of iterated Z in today's generating expression is 1.15, which is perilously close to unity, a value that cannot create fractals unless it is combined with some other value. There might or might not be a minibrot at the center of today's image. The signs are there, and all the way down it has appeared as though a minibrot would become visible on the next dive, but here we are at the limit of resolution and no minibrot has yet appeared. Actually, we need no minibrot. The image stands on its own merits, and rates a 5, which on the old scale would be a 7. The calculation time of 4-1/3 minutes borders on slowness, leaving it to the individual fractal visionary to decide whether the result might be worth the effort. For those in doubt, the finished image may be viewed on my FOTD web site at: <http://www.crosscanpuzzles.com/Archives.html> The image is also available for viewing on Hal's web site at: <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> Paul's venerable FOTD web site is still up at: <http://www.Nahee.com/FOTD/> Though it is currently inactive. Another fine spring day prevailed here at Fractal Central on Friday, though with a temperature of 61F 16C, it was not quite as warm as on Thursday. The fractal cats did not concern them- selves with the outside conditions, but enjoyed the inside conditions to the best of their ability. Their only excitement came in the afternoon, when Nicholas sensed a stray cat passing through the yard and leaped to the window to be sure the cat continued on its way. The day of the humans was about average. The next FOTD will be posted in 24 hours. Until then, take care, and when was it determined that ghosts do their haunting wearing old bed-sheets instead of regular clothes? Jim Muth jamth(a)mindspring.com START PARAMETER FILE======================================= Blithe_Eidolon { ; time=0:04:20.68-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=MandelbrotBC3 function=ident passes=1 center-mag=-0.8500552192825902/+1.261034003596572/\ 2.19456e+011/1/-157.25/0 params=1.15/0/-11.5/36 float=y maxiter=640 inside=255 logmap=375 periodicity=6 mathtolerance=0.05/1 colors=000HTMGSLFRKEQJEPIDOHCNGCMFBLEAKD9JC9IB8HB7\ GA7FA6E05C04B0490370260240130010YZJxVzpRrhNjaJbUFV\ MBNF7F73AKvgJsdIpbHn`GkUFiaEfVDdTDaQCZOBXMAUK9SI8P\ G7N96K76H45F24C03A0270150020k_CaS7SL3KE0D70x50u40r\ 40p40m40k30h30f30c30a30Z20X20U20R20P20M10K10H10F1m\ C1mA0m70m50m20mICmGAmE9mD8mB7m96m85m64m43m32m11uP6\ uN5uM5uL5uK4uJ4uI4uH4uG3uZDpfJpnPpmSplVpkXpjUpjUpi\ UphUpgUpgUpfUpeUpdUpdUpaUpZUpXUpUUpSUpPUpNXpKTp53z\ HPpFMpCIzAEz7Bz57z23zfGpbEpZDpWCpSApP9pL8pH6pE5zA4\ z72z31zUUpcUpcUpcUpaUp_UpYYpWWpTTpRRpPPpNNpLLpJJzH\ HzEEzCCzAAz88z66z44z22zDEzABz78z55z22zI0pEKpAYp7Np\ 3BzC2zA1z91z71z61z40z30z10zG0pF0pEcpEcpDcpCcpCcpBc\ pAapAZp9Xp8Up8Sp7Qp6Np6Lp5Jp4GpmUzmUzmUzmUzmUzmUzm\ UzmUzmUzmUzmUzmUzmUzmUzmUzmUzmUzmUzmUzmUzmUzmUzmUz\ mUzmUzmUzmUzmUzmUzmUzmUzmUzmUzmUzmUzmUzmUzmUzmUzmU\ zmUzmUzmUzmUzmUzmUzmUzmUz } 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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Multifractal_10
by Albrecht Niekamp 15 Apr '11

15 Apr '11

Hi, ...and a zoom... Albrecht =======================start par========================== 68157j { ; Network-Zoom ; Phoen-spid-sec-mmods-newt ; Time 0.13.51 XP Dos Shell reset=2004 type=formula formulafile=mfr.frm formulaname=multifractal_10 function=sin/exp/exp/sin passes=t center-mag=+1.15598034341295400/-0.63361677233143900/8.\ 56973e+007/1/129.999999977067489/1.31401029383748646e-0\ 07 params=-0.05825983458967864/0.3785210730307932/68157.64\ 595777122/14235.4911030602/152048.0404808048/384.160489\ 4048/384.00482000595/128.1007683001/256.1007683001/512.\ 1007683001 float=y maxiter=3072 inside=maxiter outside=tdis periodicity=0 rseed=-2436 colors=974kdI<9>eU6dT5dS3cR2bP0<24>TB4TA4T94<3>R75Q66Q6\ 6<24>J22J22J22<4>H00G00G00F00F00E00E00D00D00<3>B42A5296\ 3874<13>641641530530530<10>B96B96CA7<4>DB9ECAECA<71>jji\ kkjkkj<8>qrprsqstr<2>uvtvwuvwt<10>vwivwhvwgvwfuvdvwc<15\ >leK }

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Multifractal_10
by Albrecht Niekamp 15 Apr '11

15 Apr '11

Hi, just an image. Albrecht =========================start par======================= 68157f { ; Network ; Phoen-spid-sec-mmods-newt ; Time 0.12.13 XP Dos Shell ; Albrecht Niekamp, Apr 14th, 2011 reset=2004 type=formula formulafile=mfr.frm formulaname=multifractal_10 function=sin/exp/exp/sin passes=t center-mag=+1.15597634611702500/-0.63361745464132820/11\ 4417.9/1/-119.999999999822919/-3.15154416452578801e-010 params=-0.05825983458967864/0.3785210730307932/68157.64\ 595777122/14235.4911030602/152048.0404808048/384.160489\ 4048/384.00482000595/128.1007683001/256.1007683001/512.\ 1007683001 float=y maxiter=3072 inside=maxiter outside=tdis periodicity=0 rseed=-2436 colors=20009C<3>034022000<8>IF9KHAMJBOLCQMDSOE<8>icNkeO\ mfP<3>unTwpVxqWzsX<25>CB7A96875<3>000400<23>o00q00s00<3\ >z00<25>C00A00800<3>000<11>LLLNNNPPPQQQSSSUUU<6>fffgggi\ iijjjlll<3>sss<25>BBB999777<2>222000012<22>0_k0am0bo0cq\ <3>0jx0kz0jx<23>0BE }

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FOTD 15-04-11 (Something From Nothing [8])
by Jim Muth 15 Apr '11

15 Apr '11

FOTD -- April 15, 2011 (Rating 8) Fractal visionaries and enthusiasts: For today's image I took a trip back in time to 1996 or so, when I was involved with the MandNewt series of formulas (formulae for the over-educated). I brought up formula number 6 in the series of 12 and entered the parameters 3,2,1,1,2,2. I had intended on making the final parameter a 3, but struck the 2 by mistake. I didn't notice the error until I had already found the image, and I was certainly not going to correct it then. Serendipity strikes again! The image is a most unusual one -- not a solid image but more a series of clouds of vapor filled with vague patterns. To keep things from turning too ghostly, a few areas of solid interest are scattered through the scene, with the large dumb-bell shape being most obvious. I have long since forgotten what I was trying to accomplish with the MandNewt formulas, but they do make some very interesting images, so they are now a permanent part of my formula collec- tion, always ready to produce a surprise or two. The name "Something from Nothing" is true of fractals in gen- eral. Fractals are made of numbers, and numbers are pure abstractions. And from what I am able to gather from the popularized quantum books, the sub-atomic world is also made of numbers -- numbers that do not solidify into particles until we look for them. The universe is made of numbers -- what a coinci- dence. The universe might be the world's greatest fractal. The rating of an 8 would also be an 8 on the old scale. I was considering a rating of a 9, but at the last minute decided to turn conservative. An image like today's always looks best when viewed in high definition, so calculate it at the highest definition available. The finished image may be viewed on Hal's web site at: <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> or on my web site at: <http://www.crosscanpuzzles.com/Archives.html> The last I checked, Paul's original web site was still up at: <http://www.Nahee.com/FOTD/> Though I have almost given up hope that Paul will ever be able to bring it up to date. Spring arrived in full force here at Fractal Central on Thurs- day, with sunny skies, light winds and a temperature of 70F 21C. This was ideal for the fractal cats, who purred their approval as they were served their regularly scheduled treats. FL, who has been eager to get to work on the 2011 version of the fractal garden, took full advantage of the ideal conditions and raked like crazy. My day was busy. I guess most every day will be busy until my web site is up to date, which at the present rate will take a year or so. For now, the next FOTD will be posted in 24 hours, give or take a few. Until then, take care, and be happy in your play. Jim Muth jamth(a)mindspring.com START PARAMETER FILE======================================= SomethinFromNothin { ; time=0:01:34.80-SF5 on P4-2000 reset=2004 type=formula formulafile=mandnewt.frm formulaname=MandNewt06 passes=1 periodicity=0 center-mag=-1.06865/5.81989/0.0461874/1/60/0 params=3/2/1/1/2/2 float=y maxiter=256 inside=atan colors=000KKUgUqrhzuuzeYMf_LhaKjcIkeHmgGniFogEoeDo\ cDoaCo_BoYBpWApUApS9pQ8pO8pM7pK7lI8hG8dF9`D9XCATAA\ P8BL7BH5CmcCC5FC5HC6JC6LC6NC7PC7RC7TB8VB8XB9ZB9`B9\ bBAdBAfBAhGDeKFcOIaSK_WMY_PVcRTgTRkWPoYNs_LmYLgWLb\ ULXSLSRLT_AUg0Vd5WaAX_EYXJZUO_SS`PXaMabKecHjdEoeCs\ gEphGmiIjkKglMdmOaoQZpSXqUUsWRtYOu_LwaIxcFydDwcEuc\ EtcFrbFqbGobGnaHlaHkaHjWNiQShLXgFagAfjDdmFcpIarK`u\ NZxPYzRXuPYqOYmNYhMYdKZ`JZWIZSHZOF_JE_FD_BC_7B_I9U\ T7Oc6Jn4Dx38gIOSWcCirEelFbgGZbIWYJSTKPOLMJMPJMSJMU\ JNXJN_JNbJOdIOgIOjIPmIPoIPrIQuIQxIQzIOwLMtOKqQInTG\ kVFhYDe`Bbb9_e7Xg5Uj4Rl5Qm6Qm7Qm8Qn9QnAQnBQoBPoCPo\ DPpEPpFPpGPqHPqHOqIOrJOrKOrLOsMOsNOsNOsOPpOQnPRlPS\ jQShQTfQUcRVaRW_SWYSXWSYUTZRT_PU_NU`LVaJVbHVcEWcCW\ dAXe8Xf6Xf4Sh6Oi8KkAGlCCnE8oG4qI0rJ2pK4oL5mM7lM9kN\ AiOChPEgPFeQHdRJcRKaSM`TO_UPYURXVTWWUUWWTXYSYZQZ`P\ ZbO_cM`eL`gKahIbjHclGcYNT } frm:MandNewt06 {; Jim Muth z=c=(pixel*p1): a=z^3+(c-p2)*z-c b=p3*z^2+c-1 z=z-1*a/b 0.000000000000000000000000000001 <= |a| } END PARAMETER FILE=========================================

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Re: [Fractint] Multifractal_10
by Albrecht Niekamp 14 Apr '11

14 Apr '11

Hi Lee, done. The colours dont look so good, if watched under windows. If you still have XP you might try to run Fractint in the DOS Shell. As far as I know, all Nvidia cards have Vesa support. Albrecht -----Original Message----- From: Lee H. Skinner [mailto:skinner@thuntek.net] Sent: Donnerstag, 14. April 2011 21:56 To: Albrecht Niekamp Subject: Re: [Fractint] Multifractal_10 Albrecht, Can you e-mail that image to me? I upgraded my computer and no longer have a DOS partition that can run Fractint. Lee

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Multifractal_10
by Albrecht Niekamp 14 Apr '11

14 Apr '11

Hi Lee, done. The colours dont look so good, if watched under windows. If you still have XP you might try to run Fractint in the DOS Shell. As far as I know, all Nvidia cards have Vesa support. Albrecht

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Re: [Fractint] Fractint and NTFS
by JackOfTradeZ＠comcast.net 14 Apr '11

14 Apr '11

. Fractint worked on my Alienware with WinXP Media from day one, and rather well at that. This always intrigued me since DOS and NTFS don't see each other. I still have no explanation but what the hey - it's cool! As for USB, the only thing reliable about it (at least in my experience) is that on all my systems with multiple USB ports, most of them stop working after a few months and I don't know why. I have to install PCI cards with USB jacks to get USB functionality. No big deal, but I shouldn't have to do that! .

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Multifractal_10
by Albrecht Niekamp 14 Apr '11

14 Apr '11

Hi, The basic image is not pleasant, but zoom into the "dust". You may need 8 or more maximum zooms to find the treasures, but they are there. Treasure hunting is a special game with multifractal, excitement guaranteed. I wish Lee Skinner was around, he used to be a master at this. For the formula and the inputs please use my mailing Apr 9th. Sincerely, Albrecht =======================start par========================= 21547Basic { ; Basic Image ; mandel-secant-mmods-jul-newt ; Time 0.13.03 ; XP DOS Shell ; Apr,13 2011 reset=2004 type=formula formulafile=mfr.frm formulaname=multifractal_10 function=sin/exp/exp/sin passes=t center-mag=-0.489028/0/0.6666667 params=-0.05825983458967864/0.3785210730307932/21547.64\ 595767025/14235.4911030602/152048.0404808048/384.160489\ 4048/384.00482000595/128.1007683001/256.1007683001/384.\ 1007683001 float=y maxiter=3071 inside=maxiter outside=tdis periodicity=0 rseed=-2436 colors=200QQQ<8>BBB999777<2>222000012<22>0_k0am0bo0cq<3\ >0jx0kz0jx<24>09C08A068<2>022000211<21>icNkeOmfP<3>unTw\ pVxqWzsX<25>CB7A96875<3>000400<23>o00q00s00<3>z00<25>C0\ 0A00800<3>000<12>NNNPPPQQQ<8>fffgggiiijjjlll<3>sss<15>S\ SS } 21547z4c { ; Bacteria ; mandel-secant-mmods-jul-newt ; Time 0.16.49 ; XP DOS Shell ; Apr,13 2011 reset=2004 type=formula formulafile=mfr.frm formulaname=multifractal_10 function=sin/exp/exp/sin passes=t center-mag=-0.49414523343331390/+0.06872069228797970/87\ 4317/1/34.9999999997509903/7.11811998233002896e-011 params=-0.05825983458967864/0.3785210730307932/21547.64\ 595767025/14235.4911030602/152048.0404808048/384.160489\ 4048/384.00482000595/128.1007683001/256.1007683001/384.\ 1007683001 float=y maxiter=3071 inside=maxiter outside=tdis periodicity=0 rseed=-2436 colors=000<28>000000000<2>000111223<23>W_eX`fZbh<3>cho<\ 9>FHKDFHACD<3>000<11>Q0KS0LV0N<3>c0U<30>907806705<2>403\ 302000<22>YYU__V``W<10>qqlrrmtto<2>xxszzuyyt<11>aaX__VY\ YT<10>CCBAA9887<2>222000000<41>000 } 21547z7c { ; Easter Egg ; mandel-secant-mmods-jul-newt ; Time 0.17.49 ; XP DOS Shell ; Apr,13 2011 reset=2004 type=formula formulafile=mfr.frm formulaname=multifractal_10 function=sin/exp/exp/sin passes=t center-mag=-0.49414379254877790/+0.06872045163412974/3.\ 583266e+007/1/5.00000001174191677/-4.73648326532183361e\ -008 params=-0.05825983458967864/0.3785210730307932/21547.64\ 595767025/14235.4911030602/152048.0404808048/384.160489\ 4048/384.00482000595/128.1007683001/256.1007683001/384.\ 1007683001 float=y maxiter=3071 inside=maxiter outside=tdis periodicity=0 rseed=-2436 colors=aCD<3>hLPiNSkPV<3>sZguajwcm<9>ZFVXDTUAS<3>K0K<3>\ AAF8DE5FD3IC0LA<3>0N60O50O40P30Q2<3>2Q23Q23P2<2>5P2<3>N\ Z1R`1Wc1<2>hj0<3>eh0dh0cg0<3>Zf1Ye1Xe1Wd1<3>Pa2O`2M`3<7\ >AU48T46S4<3>0P5<8>KI4NI4PH4<3>YE3`D2`D5<3>d9H<4>R59O48\ L36<3>A00<3>L04N06Q07<3>`0C<20>tldunfvqg<3>zzm<3>zuUztP\ zrKyoJxlH<3>qY9pV8nR6lN4jJ2<10>ZB5YA5X95<3>T67<4>dNCfQD\ iUE<3>sfJuiLxmMzpN<3>jmVelWakYYj_Uia<9>JVGIUEHSC<3>CM3A\ K0BJ0<8>M90O80P70<3>U30<2>_A9 }

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Fractint and NTFS
by Jay Litwyn 14 Apr '11

14 Apr '11

Is it just me, or does everybody hav problems with flaky USB hardware? I recently unplugged my USB key, because it was already disconnected (according to my computer, trying to make directories on it that already existed), so after plugging it in again, I am keeping it as an unreliable backup...like aren't they all, anyway? My two month old USB hard drive is about the same way, only worse, because the blue light on it reliably goes out when I access more than five files at once, so it also, will usually be disconnected. I recently copied everything to my SATA drive (C--always too small), and only recently did I realize that FRACTINT should not be working with drive C, because it is NTFS. It does, anyway. So, I am thinking that either FracTint has been upgraded to support NTFS, or NTFS (SP3) haz been upgraded to support software that expects FAT32. Or, maybe the problem is that I haven't tried batch files (simplgif), yet. Or, maybe I was misinformed in the first place, and FracTint was always compatible with NTFS. After all, I don't know any other software with the same (reputed?) problem of incompatibility with NTFS. I am certainly glad that I don't need to repartition drive C.

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Multifractal_10
by Albrecht Niekamp 14 Apr '11

14 Apr '11

Hi, Lee, great you´re still part of this forum. A few weeks ago, watching your images at Sylvie´s homepage I felt the "urge" to do what I´m doing now. I encourage everyone to watch your gallery. Two days ago Jim presented an unsusual spiral, here´s another attack.Hope you like it. Sincerely, Albrecht ========================Start par======================== 67251dc { ; Unusual Spiral ; Phoen-Newt-Mand-Mmods-Secant ; Time 0.14.38 ; XP DOS Shell ; Zoom out to see it complete reset=2004 type=formula formulafile=mfr.frm formulaname=multifractal_10 function=sin/exp/exp/sin passes=t center-mag=-0.92566432656395390/-0.49412907349123510/12\ 17.848/1/120.000000000001776/-1.43722533874068858e-012 params=-0.05825983458967864/0.3785210730307932/67251.64\ 595767025/14235.4911030602/152048.0404808048/384.160489\ 4048/384.00482000595/128.1007683001/256.1007683001/512.\ 1007683001 float=y maxiter=3072 inside=maxiter outside=tdis periodicity=0 rseed=-2436 colors=000f0U<3>Z0MX0KU1I<3>M49J57H75F84EA2<3>7H05J04K0\ 3M0<3>0V50X70Z9<3>1eH1gJ2hM<3>7mU8nVAoXBpYDqZ<3>Lq_Nq_P\ qZSqYUpX<3>blQdkOfjM<3>mcDoaBp`9qZ7rX5tV4tT2uR1<2>vL0wJ\ 0vH0vF0<3>t85s77r69<2>m2Fl1Hj1J<3>b0S`0UZ0V<2>S1ZQ2_O3_\ <2>H7_F8ZEAYCBX<3>5JQ4KO3MM<3>0VD0XB0Z9<3>1e21g12h1<3>7\ m08n0Ao1Bp2<3>Jq9LqBNqDPqF<3>YnO_mQblS<3>jgYkeZmc_<3>rX\ _tVZtTYuRX<2>vLSwJQvHO<3>uAFt8Ds7B<3>m24l12j11<3>b00`00\ Z00<3>Q25O37M49J5B<3>CBJADM8FO<3>3MV2OX1RY1TZ<3>0__0a_0\ cZ1eY1gX<3>5lQ7mO8nMAoKBpI<3>Jq9Lq7Nq5Pq4Sq2<3>_m0bl0dk\ 0fj0<3>mc5oa7p`9qZBrXDtVFtTHuRJ<2>vLQwJSvHU<3>uAZt8_s7_\ r6_p4_<4>h0W }

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Re: [Fractint] Multifractal_10
by JackOfTradeZ＠comcast.net 14 Apr '11

14 Apr '11

. I am investigating these to find the "treasures" and hopefully an opening for an animation. BTW, whatever happened to Lee Skinner? .

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Re: [Fractint] Fractint and NTFS
by jimmckenzie＠earthlink.net 14 Apr '11

14 Apr '11

Jay, I need to ask a few questions here first. What brand of HDD is it? Is it a DIY or a store bought (did you put the USB together yourself or did you buy pre-assembled) and did you format it yourself when you got it? I always format them when I get them (from the command line, don't like the GUI there) and as for the "I put it together myself" approach for some reason they seem to be as buggy as the Amazon right now. Never use the Tandem (2-fer) snap-in SATA hard-drive mounts. If you use 2 in them the speed always suffers and so does the reliablity. BTW which version of NTFS are you using? Don't know if these questions are even relative but hope it helps. Need more info though. -----Original Message----- >From: Jay Litwyn <brewhaha(a)freenet.edmonton.ab.ca> >Sent: Apr 14, 2011 9:15 AM >To: Advanced Paint By Number <fractint(a)mailman.xmission.com> >Subject: [Fractint] Fractint and NTFS > >Is it just me, or does everybody hav problems with flaky USB hardware? > >I recently unplugged my USB key, because it was already disconnected >(according to my computer, trying to make directories on it that >already existed), so after plugging it in again, I am keeping it as an >unreliable backup...like aren't they all, anyway? My two month old USB >hard drive is about the same way, only worse, because the blue light >on it reliably goes out when I access more than five files at once, so >it also, will usually be disconnected. > >I recently copied everything to my SATA drive (C--always too small), >and only recently did I realize that FRACTINT should not be working >with drive C, because it is NTFS. It does, anyway. So, I am thinking >that either FracTint has been upgraded to support NTFS, or NTFS (SP3) >haz been upgraded to support software that expects FAT32. Or, maybe >the problem is that I haven't tried batch files (simplgif), yet. Or, >maybe I was misinformed in the first place, and FracTint was always >compatible with NTFS. After all, I don't know any other software with >the same (reputed?) problem of incompatibility with NTFS. > >I am certainly glad that I don't need to repartition drive C. > > > >_______________________________________________ >Fractint mailing list >Fractint(a)mailman.xmission.com >http://mailman.xmission.com/cgi-bin/mailman/listinfo/fractint

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FOTD 14-04-11 (Fireworks Explosion [6])
by Jim Muth 14 Apr '11

14 Apr '11

FOTD -- April 14, 2011 (Rating 6) Fractal visionaries and enthusiasts: Today's image resembles an explosion in a fireworks factory. At least, that's what it reminds me of. I named it "Fireworks Explosion" to make things perfectly clear. Actually, the image is part of a Julia set of the (-Z)^2.003+C Mandeloid. The corresponding point in the Mandeloid lies in the East Valley of the split-apart large minibrot on the fractalized stem of the parent. The image is a close relative of the 'mysterious rectangle' fractal, but the sign of iterated Z has been switched. The rating of a 6 might have been higher, but a certain amount of muddiness spoils the colors and keeps a cap on things. To view the image, run the included parameter file and watch the action. To avoid running the parameter file, take a trip to my new FOTD web site at: <http://www.crosscanpuzzles.com/Archives.html> where the finished image is posted. The site is still in its baby stages, but will grow rapidly as we continue working on it. The image may also be seen on Hal's web site at: <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> where he is posting hi-def renderings of the FOTD images. The original FOTD web site is at: <http://www.Nahee.com/FOTD/> but I haven't checked in some time to see how it is doing. Wednesday began with a chilly rain here at Fractal Central, which continued all morning. And then, occasional showers spoiled the afternoon. The sky showed no signs of clearing until sunset, but by then the day was over. The temperature of 48F +9C added to the fractal cats' ill tempers. Only an extra treat of tuna and cheddar kept trouble from breaking out among them. The humans had a typically busy day. But this was not so bad. After all, if we had not been busy, we might have had time to watch one of the TV news channels and hear that the world is about to end. (Come to think of it, the end of the world would not be so bad either.) Assuming that the world does not end, the next FOTD will be posted in 24 hours. Until then, take care, and pass the time with fractals while waiting for the sim- mering Yellowstone volcano to erupt. Jim Muth jamth(a)mindspring.com jimmuth(a)earthlink.net START PARAMETER FILE======================================= FireworksExplosion { ; time=0:00:40.80-SF5 on P4-2000 reset=2004 type=formula formulafile=allinone.frm formulaname=SliceJulibrot5 center-mag=-0.000139571\ /0.000418933/29.9 params=90/90/90/90/-1.74713/0/0/\ -0.0945085/2.003/0 float=y maxiter=500 inside=255 logmap=yes symmetry=none periodicity=6 colors=0007A58A59A5AA5BA5CA5DA5EA5FA5FA5FA5FA5FA5F\ A6FA8000110220330440552664776888A8AC8BE8CG9CI9BN9B\ S9BWAB_AAcA9gA8kA7mA6oA5qA4sA3uA2wA1yB0xC0xD0xD0xE\ 0xE2xF4xF6xG8xGAwHCwHEwIGwIIwJKwJMwKOwKOwLPwLPuQOt\ UNrYNqbMofMnjLloLksKjwKksIloGlkEmgCmcBn_9nW7oS5oP4\ mO5kO6iO7gO7eO8cO9aOA_OAYOBWOCVOCTNDRNEPNFNNFLNGJN\ HHNIFNIDNJBNKANKCLHEJFFIDHGBJE9KD7MB5O93P81S94UA6W\ A8ZBA`CCbCFeDHgEJiELlFNnGQpGSsHUuIWwIYqLZkO_eQ__T`\ UV`OYaI_aLabNcbPecSgcUidWkdZme`oebqecpdcoccncdnbdm\ bdlaekaek`ej`fi_fh_fhZggZgfYgeYheXhdXhcWhcWhcXidXi\ dYjdZjd_zz0zzckeapkfleah`XdVS_PORJJNEEI89J9CMAETCH\ UDKWEMXFPZGR_HUaJXbKZdLaeMdhKhgMfePedRccTbaV``YZ__\ YYaWXcVWfTUhRTjQSlOQoNPqLQqLRqKSqKTqKTqJUqJVqJWqIX\ qIYqIZqI_qH`qHaqHaqGbqGcqGdqFeqFeqFdpGcoGcoGbnGbnH\ amH`mH`lH_lHZkHZkHYjIYjIziIWzIWhIVzIUgIUgJTfJTfJSe\ JRdJRdJQcJQcKPbKObKg_jzzz } 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=========================================

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FOTD 13-04-11 (Patterns in Space [8])
by Jim Muth 12 Apr '11

12 Apr '11

FOTD -- April 13, 2011 (Rating 8) Fractal visionaries and enthusiasts: Today's image is a departure from my usual fare of escape-time images. It was created by the type=dynamic formula of Fractint, a formula that draws time-discrete dynamic system images. I have done very little investigation into this kind of stuff, though today's image shows that I might have been unnecessarily neglecting these images. Who knows, these images, which form regular repeating but ever-changing patterns, could be used as the basis for some award-winning quilting. The name "Patterns in Space" describes today's image, which is a pattern filling the otherwise empty space of the screen. The rating of a new-scale 8 indicates that I consider the image to be notably above average. The calculation time of 53 seconds will pass in a flash when the unexpected 'passes' algorithm begins working. The trip to a Hal's currently active web site at: <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> or my own new site at: <http://www.crosscanpuzzles.com/Archives.html> to see the finished image posted there will be equally as brief. The original FOTD web site may be accessed at: <http://www.Nahee.com/FOTD/> Tuesday began glumly with a steady rain here at Fractal Central. The rain ended at 10am, and the sun appeared at noon, but by 3pm the clouds moved back in, and the rain returned by sunset. The temperature of 55F 13C was reasonable, though it would have seemed more spring-like with more sun. The ever-present fractal cats had a typical cat day. Nicholas had a moment of excitement when he got his foot stepped on, but a few consoling words let him know that no harm was intended. The humans also had a routine day. More of the same is expec- ted tomorrow. Now that the FOTD web site is finally off the ground, I am considering what to do with it. I am presently considering a picture gallery of the fractal cats in action. Yes, the fractal cats are real living cats, not simply invented fictions to fill space in the FOTD discussions. The next FOTD will be posted in 24 hours. Until then, take care, and is that a Boltzmann brain lurking over there in the shadows? Cosmologists tell us that such entities might not be total fantasies. Jim Muth jamth(a)mindspring.com START PARAMETER FILE======================================= Patterns_in_Space { ; time=0:00:53.39-SF5 on P4-2000 reset=2004 type=dynamic function=sin maxiter=750 center-mag=0/0/0.0518672/1.3333 params=125/0.05/1/3 float=y bailout=7 inside=16 logmap=yes colors=000Wz0az0gz0pz6vsNzig6WNTYamamz0pz0sz3sz8vz\ EvzB0zH6zKKzQazWpzYzasKzz00z00z00z00z00z00z00v0Uc0\ zz3zUH00T00g00vc0z0m00c03WiNQzTWzYazcgzimmpsavyNyz\ Bzm0za0zN0zB0gT0Hi00yY0zz0zzcz00HK00z00m00T008800N\ 00TE0YT0cg6ivKpzWszgczmQzpBps0cy0Tz0Hz08z00Nc00z00\ z00i00T00B00000z0z00000600g00a00Y00z0mz0HKBQHKaBTi\ 8WsNYyaYzpmUc806T0Ti0sz0zz0zW00a00g00m00p00v00z60z\ H0zT0zzTzzYzzczzizzpzvszsYzsHzp0zp0zc0zW6zNKzEWzKi\ sNvgTzWWzcgziszszzyzzzzyzzvizzHWz00z00z00z0Ez0az0z\ z0zz0zz0zz6zzQmzgWzYHzQ6zH0y80m00a0Uzc0Hc08m00Q00i\ 00z00z00z80zH0zTpzQ8zYYzz0zzNcizigzmgzpgzsgzyczzcz\ zczzm0zi0zgTz0zz0zz0zz0zz0zz8zzKzzWzaB0gH3mKBpQNvT\ WyYgzap00a06g0Bi0HmENpYTspYv0z00z0Bz0Nz0Yz6ivQvmgy\ 0vz0yz6yzNy00z00zN0ziEz000000m00K03Y0HiBWvQi0s00p0\ 0m8HiQgggcTcmWisYpzavE00N00T00a00g06m6KvHYzTmK0Ni0\ gszYz0000z00zN0ziEz0yYNz0 } END PARAMETER FILE=========================================

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FOTD 12-04-11 (Attack of the Spiral [New 6, Old 7])
by Jim Muth 12 Apr '11

12 Apr '11

FOTD -- April 12, 2011 (Rating New 6, Old 7) Fractal visionaries and enthusiasts: Today's image features a wild spiral, with more nooks and crannies than the maze of the Minotaur. Perhaps I exaggerated a bit when I named it "Attack of the Spiral", but some of its nooks look absolutely threatening, not to mention its crannies. The image rates a 6, which is equal to an old rating of a 7. This is the last day I will list both the new and old ratings. >From now on I will simply list the new rating. But remember that images with new ratings will usually appear better than expected. For some reason I tend to avoid spirals, perhaps because they are so trendy, especially with contest participants, but occa- sionally, as happened today, even I fall prey to the temptation to check a spiral for hidden goodies. The goodies in today's image are not exactly hidden however. They are there on the surface for the whole world to see. The parent fractal came about when I calculated the Z^(1.5)+C Mandeloid as it appears 0.5 levels up the complex logarithmic hyperspiral when no function is applied. This parent fractal appears as a Mandeloid rotated so that its main bud faces north. Both its main bay and main bud are squashed, with a lively broad spiral extending from the northeast shore line of the main bay. Today's scene is located at only a small depth in this broad spiral. The calculation time of 34 seconds is surprisingly fast. The finished image may be viewed without the task of calculation, on the active FOTD web site at: <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> The original classic FOTD web site may be accessed at: <http://www.Nahee.com/FOTD/> My own web site may now be accessed at: <http://www.crosscanpuzzles.com/Archives.html> but the site is still in the early stages, and today's FOTD will not be posted for a day or so. Suggestions for improvement will always be considered, so feel free to make helpful comments. You might also check FL's puzzles on the site. She deserves a little return for all the work she has done helping to get the web site up and running. With a high temperature of 81F 27C, Monday was the warmest day of the spring so far here at Fractal Central in central Pennsyl- vania. In fact, it was warmer outside than inside. The fractal cats considered the temperature just right, but their relation- ship must have left something to be desired. In the evening they were spotted at opposite ends of the fractal hallway in full sulk posture, their sulks directed at each other. The day of the humans was busier than expected. Most of the extra work involved making last minute tweaks to the FOTD web page. The next FOTD image is due to be posted in 12 hours or so. Until then, take care, and what will be, will be, but we don't have to sit down and helplessly take whatever comes. Jim Muth jamth(a)mindspring.com START PARAMETER FILE======================================= Atack_Of_TheSpiral { ; time=0:00:34.77-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=MandelbrotBC3 function=ident passes=1 center-mag=+0.76882629/+0.54538622/266/1/180 params=1.5/0/0.5/0 float=y maxiter=288 inside=255 logmap=27 periodicity=6 colors=200LNUKMTJLSIKRHJQGIPFHOEGNDFMCELBDKADJ9CI8\ BH7AG69E68D56B44955B57D58F5AH5BJ5DL5EN5GP5HR5JT5KV\ 5MX5NZ5P`5Qb5Sd5Tf5Vh5Wj5Yl5Zn5`p5ar5ct5dt5ft5gt5g\ t5gt5gt5gt5gt5gt5gt5gt5gt5gt5gt5gt5gt5gt5gt5gt5gt5\ lt5lt5lt5lt5lt5lt5lt5lt5lt5lt5lt5lt5lt5lt5lt5lt5qt\ 5qt5qt5qt5qt5qt5qt5qt5qt5qt5qt5qt5qt5qt5qt5qt5qt5q\ t5qt5qt5qt5qt5qt5qt5qt5qt5qt5qt5qt5qt5qt5qt5qt5qt5\ qt5qt5qt5qt5qt5qt5qt5qt5qt5qt5qt5qt5qt5qt5qt5qt5qt\ 5qt5qt5qt5qt5qt5qt5qt5qt5qt5qt5qt5qt5qtBqt9qt7qt5q\ t9qtBqtDqtFqtHqtJqtLqtNqtPqtRqtTqtVqtRmtRmtRmtRmtR\ mtRmtRmtRntRntRntRntRntRntRntQptRotRntRmtRltRltRkt\ RjtRitRhtRhtRgtRftSesSesSdsScrSbrSarSaqS`qS_qSZpSY\ pSYpTXoTWoTVoTVnTUnTTnTSmTRmTRmTQlTPmTOmUNmTOmTOmT\ PmTPmTQmTQmTRmSRmSSmSSmSSmSTmSTmSUmSUmRVmRVmRWmRWm\ RXmRXmRXmRYmQYmQZmQZmQ_mQ_mQ`mQ`mP_mQ`mQ`mQ`mRamRa\ mRamSbmSbmSbmTbmTcmTcmUcm } 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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Re: [Fractint] Multifractal_10
by Jim Muth 12 Apr '11

12 Apr '11

At 02:22 AM 4/11/2011 +0200, Albrecht wrote: >Hi, > > >To be honest, how many users are able to produce own images with your >sophisticated formulas? >The multifractal "mini-program" to use your expression is capable of >the same complexity even with a single formula. To prove this I have >included two pars using one formula only. >Also, of course, it creates images that in NO other way can be >obtained by adding several complexities to one that supersedes the >single ones. >For me fractals are part of my leizure time and should be fun to play >with. It´s even possible to just take any five numbers, like a >blind monkey - see what comes out and zoom in. You will get an >absolutely unique image within minutes. > >What do YOU think? The images in your most recent posting are impressive indeed. But I am even more impressed by the complexity and potential of the Multifractal-10 formula. JIM

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Multifractal_10
by Albrecht Niekamp 11 Apr '11

11 Apr '11

Hi, Qte Jim: Myself, I wonder what all the excitement over Fractint's demise is about. I have never lost the awe and wonder that came and still does come with every new image. All of my present-day images are not located in the Mandelbrot set, the fractal that brought the first fractal excitement, but most are created by a small group of simple, short formulas. . One thing I have never been tempted to do is write one of those mini-program formulas with hundreds of lines, which in the end draws just another complex fractal image. I am more concerned with the things complex numbers do on their own, without human intervention.unqte Of course you´re right, Jim, from your point of view. Also for me fractals are a big mystery, which possibly never can be fully explained on our level of existence. Maybe to understand we will have to go to the level of elementary particles, if ever. Imagine that everything is one big "fractal" unity and on this level there are no distances between systems... To be honest, how many users are able to produce own images with your sophisticated formulas? The multifractal "mini-program" to use your expression is capable of the same complexity even with a single formula. To prove this I have included two pars using one formula only. Also, of course, it creates images that in NO other way can be obtained by adding several complexities to one that supersedes the single ones. For me fractals are part of my leizure time and should be fun to play with. It´s even possible to just take any five numbers, like a blind monkey - see what comes out and zoom in. You will get an absolutely unique image within minutes. What do YOU think? ========================start par========================= Phoenix1 { ; Single Formula ; Time 0.12.00 ; XP DOS Shell ; Apr,11 2011 reset=2004 type=formula formulafile=mfr.frm formulaname=multifractal_10 function=exp/sin/exp/sin passes=t center-mag=+0.10921424934341250/-0.56152114679917940/28\ 6.2014/1/-52.4999999999994742/-4.57613114068777804e-013 params=-0.05825983458967864/0.3785210730307932/60000.32\ 565700023/25234.0506030602/151024.0204808192/384.327685\ 24288/384.00482000595/256.1007683/512.1007683001/768.20\ 07680082311 float=y maxiter=1024 inside=maxiter logmap=5 periodicity=0 rseed=-2436 colors=WWSKKWGKSOGSKGC84848KKGSCGSGGOGGS884ckg_c_Wc_KOC\ __Wcc_SWcOW_OSOS_WGSWGKKGS_KSWOSWKOWGOSGGC_ScSW_GO_COOG\ OG8CCGCOGKWCGWCCOCCCCC4GCKCOS8CS8COC4C448_gcOSKkkgKSK8G\ 8C8KCKKKOKCG8GKGCGC8KOCKWCKSGOWKSS88KSScKO_GKO8GSCGOCCK\ KW_KS_CKO4CO4CC4C4CK_8GW8CK8CG44COKKKOGKKCC8CCC8CGG4044\ 8C804400GK84CGGOO8GG48G4840444880800408KWGGWCCS8GOCGK88\ G88C44G408004ggkcccWWWSSSKKKGGG888444000<12>000<4>000KK\ 8OOG_SWc_cC88OKCKGKGCCC84KGGG4COKGccgkokSKSc__G8GgggSOC\ GG4SOGcWcC48SKCSSKSSGkgkGSSKWW4C88GCkkkgkkW_WKKGOOKSOS_\ W_WOWWSSOKOW_cSO__Wc__cSOOGC8SKWKGOWWc_WWWO_C8G048SSO8C\ 4844KG8GCGkoo_ccgkgCG4CKG_ocSWWOSSGKCgko_Wg___SSWKKSKOO\ 4CKWW__S_WOSWOG440COWSOWWSWOOWOOSGGK8KSOKWKKOOKSGG884Cg\ oocggKSOcgkGOKCKCWScOS_W__OWWSWS8C8KK_WS_S__OWSKOS8GK88\ OSS_OO_OOOOOCCCGGK_ } Newton { ; Single Formula ; Time 0.06.49 ; XP DOS Shell ; Apr,11 2011 reset=2004 type=formula formulafile=mfr.frm formulaname=multifractal_10 function=exp/sin/exp/sin passes=t center-mag=0.332423/0.00308737/1.230666/1/-90/3.8857805\ 8618804789e-016 params=-0.05825983458967864/0.3785210730307932/70000.32\ 595700023/35234.0506030602/151024.0204808192/384.327685\ 24288/384.00482000595/256.1007683/512.1007683001/768.20\ 07680082311 float=y maxiter=1024 inside=maxiter outside=tdis logmap=2 periodicity=0 rseed=-2436 colors=200432<20>icNkeOmfP<3>unTwpVxqWzsX<25>CB7A96875<\ 3>000400<23>o00q00s00<3>z00<25>C00A00800<3>000<6>DDDFFF\ HHH<10>___aaaccc<3>iiijjjlll<3>sss<25>BBB999777<2>22200\ 0012<24>0bo0cq0es<3>0kz<25>09C08A068<2>022000211 } Please use the formula file from my previous mailing. Sincerely, Albrecht

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FOTD 11-04-11 (Split Personality [New 8, Old 8])
by Jim Muth 10 Apr '11

10 Apr '11

FOTD -- April 11, 2011 (Rating New 8, Old 8) Fractal visionaries and enthusiasts: Today's image is an improved sample of the type of minibrot that appeared in yesterday's FOTD. It is located rather deep on the southern side of East Valley of the Mandelbrot set, so deep in fact that it requires arbitrary precision math, which increases the calculation time by a factor of around 1500. But, at least in my opinion, the extra time is worth the effort. The image is an obvious example that not all minibrots at this depth are surrounded by little more than concentric circles of elements. The outer parts are obviously characteristic of the elements in East Valley, while the inner part shares the sharp spikes of a scene on the main spike. The minibrot at the center is not fully resolved. I left it un- resolved to improve the spacing of the color bands. The name "Split Personality" comments on the schizophrenic mix- ture of East Valley and main spike features surrounding a single minibrot. The rating of a new 8 is equal to the old rating of an 8. The calculation time of a lengthy 44 minutes is perhaps more time for some than the image is worth. But the wait may be avoided by viewing the finished image on the active FOTD web site at: <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> The original FOTD site may be accessed at: <http://www.Nahee.com/FOTD/> The address of my new FOTD web site will be posted in tomorrow's FOTD. The clouds continued here at Fractal Central on Sunday. The temperature of 59F 15C was about normal, but without sun the day brought little impression of spring. The fractal cats got into a spat during the afternoon, leaving Nicholas with a scratch on his head. A half-hour later all was back to normal however. The humans had an uneventful day, which is the way we like it. Most of the time was spent fine-tuning the new web site, a process that most likely will never be finished. The next FOTD will be posted in 24 hours. Until then, take care, and I'm waiting for the government to grant me equality, but I'm not sure what I want to be made equal to. Jim Muth jamth(a)mindspring.com START PARAMETER FILE======================================= Split_Personality { ; time=0:44:14.38-SF5 on P4-2000 reset=2004 type=mandel center-mag=0.26758003792428\ 46212227875/-0.0039097831278057311114401/8.87e+020 params=0/0 float=y maxiter=5700 inside=0 logmap=2456 periodicity=6 colors=000GK_HK_IKZJKZKKZLKYMKYMKXNKXOKXPKWQKWRKVS\ KVTKVUKUVKUWJTXJTYJSZJS_JS`JRaJRbJQcJQdJQdJPeJPfJO\ gJOhJOiINjINkIMlIMmIMnILoILpIKqIKrIKsIJtIJuIIuIItI\ IsHHrHGqHGpGFnGFlGEjGEhFDgFDeFCcECbEB`EBZEAYDAWD9U\ D9TC8RC8PC7PC7OC7RE7UG7WI7ZK7aM7cO8fP9iQAkRAmRAkRA\ iQAgPAeOAcMAaKA_JAYJAWJAVIAVIAWIAWIAWHAXH9XH9XG8YG\ 8YG7TF9WE8YG7`J7bL6eN6gQ5jS5lU4oX4qZ3s`3q_4o_4n_5l\ _5jZ6iZ6gZ7eZ7dY8bY8`Y8_Y9YX9WXAVXATXBRWBQWCOWCSR9\ NWCI`FDeI8jL4uQ3rO3oN3lM3iK3fJ3cI3`H3YF3VE2SD2PC2M\ A2J92G82D72A5274243101222333443554664775885996AA6B\ B7CD8DE8FL`hoWzzUtqQrmSphUndVl_XjWZhS`fNadJcbEe`Ag\ Z6hY9fYBeYDcYGbYIaYK_YNZYPYXRWXUVXWTXYSX`RXbPXdOXf\ NUbNRZNOVNLRNJNNGJNDFNABN77N54N43R43U43Y43c43m43z4\ 3z43zDKzLizOkzRlzUnzXoz_pz_nz_lz_kz_izZhzcXecWgcUi\ cSkcRlcPnmOpmMrmFumHtvJtzLswNzwPzwQzrmzvmzzmzzmzzm\ zzmzzmzzmzzmzzmzzmzzmzzmz } END PARAMETER FILE=========================================

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FOTD 10-04-11 (Star of Something [New 4, Old 6])
by Jim Muth 10 Apr '11

10 Apr '11

FOTD -- April 10, 2011 (Rating New-4, Old 6) Fractal visionaries and enthusiasts: I have seen rumors floating around the area that Fractint is dead. Well, maybe it's not the program itself that is supposed to be dead, but at least the Fractint list, where the traffic sometimes slows to nearly nothing. And I also see regrets about the vanished 'good old days', when every new image was an object of wonder and every new scene in the Mandelbrot set, a major discovery. Myself, I wonder what all the excitement over Fractint's demise is about. I have never lost the awe and wonder that came and still does come with every new image. All of my present-day images are not located in the Mandelbrot set, the fractal that brought the first fractal excitement, but most are created by a small group of simple, short formulas. One thing I have never been tempted to do is write one of those mini-program formulas with hundreds of lines, which in the end draws just another complex fractal image. I am more concerned with the things complex numbers do on their own, without human intervention. A number of years back I experimented with the black-square- white-square capability of Fractint, which divides the screen into a checkerboard pattern and draws pseudo-multi-layered images like those created by some of those 'other' Windows-based fractal programs. But like what happened with the old Fractint 3-D transforms, my interest in the black-white checkerboard soon waned. All I saw was double exposures. So how can I regret the passing of the 'good old days' when fractals were new? Here at Fractal Central, the old days have never departed, and every fractal still is new. (If this were not true, what has kept the FOTD going for 14 years?) As for today's image, it is a scene in the Mandelbrot set, at just about the limit of the range of the conventional math routine. It is located on a filament on the northwest shore line of the main bay, just beyond the tip of the spike of a minibrot. The rating of a 4 on the new scale is equal to a 6 on the old scale. The calculation time of one second is insignificant. The name "Star of Something" refers to the star-like appearance of the pattern surrounding the central minibrot. The finished image is available on the FOTD web site 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/> The address of my new FOTD web site will be announced April 12. As suspected, an antiquing trip did erupt on Saturday, which explains the lateness of today's FOTD. The weather on Saturday was cloudy and chilly, with a temperature of 48F +9C. With no one around FC to keep the fractal cats occupied, they spent most of the day doing what cats do best. They slept. The next FOTD, a much deeper and improved version of today's image, will be posted in about 8 hours. Until then, take care, and every person's idea of what made the 'good old days' so good is different. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Star_of_Something { ; time=0:00:01.43-SF5 on P4-2000 reset=2004 type=mandel center-mag=-0.6960909132026\ 418/+0.4750231045822381/1.412646e+013/1/-87.3/0 params=0/0 float=y maxiter=1800 inside=0 logmap=286 periodicity=6 mathtolerance=0.05/1 colors=00050I50J50K51L52M53N54O55P56P57P58P6AQ7CR8\ ES9GVAIYAJ_AKaALcAMeBNgCOiDPkEQmFUoGXqH`sIbtJdwKcz\ L_zKazIUqFKhDGZCEPBEFAGF9IF8JF7LFANFFPAKR5PS1U_CZg\ NcoYhvhmrZroQvkHzh8vdCr`GmYJhUNcQRZNUUJYPFaLCdIFZQ\ IUYLOeOJmRDuU8hNAWHCJBE65GB9HFDHKHHOLHSPHXTH`XHe`H\ idHmhHrlHvpHzsHvpIsmJpjKlhLieMfbNb_O_YPXVQTSRQPSNN\ TJKUGHVDFWCN_CUcCagChkConBniAme9ma8lY7lU6kP5kL4jH3\ jD2i91i53g65f77e89c9BbADaBF`CGZDIYEKXFMWGOUHQTISSJ\ TRKRLBPF3OK9NOFNSKMWQL`WLd`KhfKlkIecGZXESQCLJAECBH\ ABK9CN8CP7DS6DV5EX4E_3Fb2Fd1HVTJMtMNpOOlROhTPdWQ`Y\ QX`RTbSPeSLgTHiTDjZKkcRkhYlmdlrkmninjgogfpcdq_brXa\ sT_tPYtMXeM`SMdEMh0MlQIknFjpGdrGZsGTuHNvHHxHByH6tG\ 8oGAkGBfFDbFFYFGUEIPEKLELODMQCNTBOVAOX9P_8Qa7Rd6Rf\ 5Sh4Tk3Um2Up1Vr0Wt0Wr8TqGRoOPnWNmcKkkIjsGizEhxGhzI\ gzJgzLfzMfzOezQezRdzTdzUezTezSezSezRezRezQfzPfzPfz\ OfzOfzNfzNezUcz`bzgaznUzi } END PARAMETER FILE=========================================

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Re: [Fractint] MultiFractalZ
by JackOfTradeZ＠comcast.net 10 Apr '11

10 Apr '11

. They are awesome! The complexity is amazing - try zooming in. Too bad they take too long to generate, and so many parameters with complex numbers; I would like to try animating them but I dont think it can be done realistically. :( Cheers .

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Multifractal_10
by Albrecht Niekamp 10 Apr '11

10 Apr '11

Hi, this ends the series of multifractal mails. As I think, the Fractint Forum is dead- the lethal dose possibly was that "spam assasin", I dont expect any feedback. I´m doing this for myself and in order to have the finalization of my multifractal project stored in the fractint archives. A few words though about multifractal_10. It is the final version, it handles 8 basic fractal formulas and combines ANY 5 to one multifractal image. (1) Secant (Mike Wareman) (2) Mandel (Special version Puskas Istvan) (3) Bees (Ray Girvan) (4) Julia (Special version Puskas Istvan) (5) Many mods (Linda Allison) (6) Phoenix (Mike Wareman) (7) Newton (Special Version Puskas Istvan) (8) Spiderjul (John Horner). An easy tweak is real(p2) (Z-screen), just list 5 numbers of above list in front of the dot. Multiple entries of the same number or any other combinations are possible. To get the basic image just use one number followed by 4 zeros. The sequence of the five numbers defines following: Shape - outside - inside1 - inside2 - inside3. To activate S.Gallet´s "Lake Effect" type "1" in front the dot image(p5) and after the dot 6 digits as stated below. I did some exploring and testing, did not detect any fractint error. Exploring cant be complete. there are far too many possibilities, found that any combination delivered an image ready to zoom into. Inputs Multifractal_10: ; ;p1 (spider)julia-seed ;real(p2) 5digits : (1)shape (2)outside (3)inside1 (4)inside2 (5)inside3 ;0_off 1_secant 2_mand 3_bees 4_jul 5_m_mods 6_phoen 7_newt 8_spider ; input2: 2digits_many-mods 2digits_phoenix 2digits_spider ; 1digit_shapereset:0_no 1_dblmandel 2_iter-reset 3_both +5_warp ; 4digits reset : 0_no 1_z-reset 2_iter-reset 3_both +5_warp ;imag(p2)(-) 5digits_colour(bailout) number ; input2 : 4digits(-)_mand/jul 2digits_secant 4digits_bees ;real(p3) 2digits_newt 4digits_colour1, 5digits_colour2 5digits_colour3 ;imag(p3) shape : factor (fn1), 5digits_colour4 6digits_colour5 ;real(p4) outside: factor (fn2), 4+1digits_bord-out 4digits+fract_bord-in ;imag(p4) inside1: maxit1, 1digit_use:1_maxit 2(7)_bord-out 3(8)_bord-in ; 5digits_factor1 (fn2) 4digits+fract_border1 ;real(p5) inside2: maxit2, 1digit_use:1_maxit 2(7)_bord-out 3(8)_bord-in ; 5digits_factor2 (fn3) 4digits+fract_border2 ;imag(p5) inside3: maxit3, 1digit_use:1_maxit 2(7)_bord-out 3(8)_bord-in ; 5digits_factor3 (fn4) 4digits+fract_border3 ; optional: 1_lake effect, 2digits_frquency 2digits_level 2digits_ampl ;fn(1) shared by many-mods+bees ==================start par=============================== MFR345o { ; The Big Circle - basic shape ; Time 0.2.0 ; XP Dos Shell ; 1600/1200 ; Apr 7th, 2011 reset=2004 type=formula formulafile=mfr.frm formulaname=multifractal_10 function=sin/exp/exp/sin passes=t center-mag=0.0016085/-0.00563554/0.5690132/1/-90/3.8857\ 8058618804789e-016 params=-0.05825983458967864/0.3785210730307932/15367.64\ 595767025/14235.4911030602/152048.0404808048/384.160489\ 4048/384.00482000595/256.1007683001/512.1007683001/768.\ 1007683001 float=y maxiter=3071 inside=maxiter outside=tdis periodicity=0 rseed=-2436 colors=200034022000<8>IF9KHAMJBOLCQMDSOE<8>icNkeOmfP<3>\ unTwpVxqWzsX<25>CB7A96875<3>000400<23>o00q00s00<3>z00<2\ 5>C00A00800<3>000<11>LLLNNNPPPQQQSSSUUU<6>fffgggiiijjjl\ ll<3>sss<25>BBB999777<2>222000012<22>0_k0am0bo0cq<3>0jx\ 0kz0jx<27>056 } Phoenix { ; Big Circle Zoom ; Time 0.7.11 ; XP Dos Shell ; 1600/1200 ; Apr 7th, 2011 reset=2004 type=formula formulafile=mfr.frm formulaname=multifractal_10 function=sin/exp/exp/sin passes=t center-mag=-1.50145448596800800/+0.10016964702423030/18\ 65.617/1/75.0000000000048601/-6.20805490347819955e-012 params=-0.05825983458967864/0.3785210730307932/15367.64\ 595767025/14235.4911030602/152048.0404808048/384.160489\ 4048/384.00482000595/256.1007683001/512.1007683001/768.\ 1007683001 float=y maxiter=3071 inside=maxiter outside=tdis periodicity=0 rseed=-2436 colors=200034022000<8>IF9KHAMJBOLCQMDSOE<8>icNkeOmfP<3>\ unTwpVxqWzsX<25>CB7A96875<3>000400<23>o00q00s00<3>z00<2\ 5>C00A00800<3>000<11>LLLNNNPPPQQQSSSUUU<6>fffgggiiijjjl\ ll<3>sss<25>BBB999777<2>222000012<22>0_k0am0bo0cq<3>0jx\ 0kz0jx<27>056 } FRM:multifractal_10 { ; Albrecht Niekamp Jan2005 ; le=0 z=pixel da=real(p2) dd=trunc(da) da=round((da-dd)*100000000000)+11111 dd=dd+11111 d=trunc(dd/10000) dd=dd-d*10000 d3=(d==4)+(d==5)+(d==8)+(d==9) d4=d3==0 vb=d>5 sc=d==2 mo=d==6 px=d==7 ab=px+(d==3)+(d==5)+(d==9) d=trunc(dd/1000) dd=dd-d*1000 ex1=d>1 sc1=d==2 mo1=d==6 px1=d==7 v1m=mo1+px1 v1j=d>7 dd1=v1j+(d==4)+(d==5) ab1=px1+(d==3)+(d==5)+(d==9) d=trunc(dd/100) dd=dd-d*100 ex2=d>1 sc2=d==2 mo2=d==6 px2=d==7 v2m=mo2+px2 v2j=d>7 dd2=v2j+(d==4)+(d==5) ab2=px2+(d==3)+(d==5)+(d==9) d=trunc(dd/10) ex3=d>1 sc3=d==2 mo3=d==6 px3=d==7 v3m=mo3+px3 v3j=d>7 dd3=v3j+(d==4)+(d==5) ab3=px3+(d==3)+(d==5)+(d==9) d=dd-d*10 ba=imag(p5) mi3=trunc(ba) dd=(d>1)+(mi3>1) ex4=dd==2 sc4=d==2 mo4=d==6 px4=d==7 v4m=mo4+px4 v4j=d>7 dd4=v4j+(d==4)+(d==5) ab4=px4+(d==3)+(d==5)+(d==9) ; mm=trunc(da/1000000000) da=da-mm*1000000000 ph=trunc(da/10000000)/100 da=da-ph*1000000000 sp=trunc(da/100000)/100 da=da-sp*10000000 d=trunc(da/10000) ex0=d>4 da=da-d*10000 d=d-5*ex0 dm=(d==2)+(d==4) ir0=(d==3)+(d==4) d=trunc(da/1000) w1=d>4 da=da-d*1000 d=d-5*w1 rs1=(d==2)+(d==4) ir1=(d==3)+(d==4) d=trunc(da/100) w2=d>4 da=da-d*100 d=d-5*w2 rs2=(d==2)+(d==4) ir2=(d==3)+(d==4) d=trunc(da/10) w3=d>4 da=da-d*10 d=d-5*w3 rs3=(d==2)+(d==4) ir3=(d==3)+(d==4) d=round(da) w4=d>4 d=d-5*w4 rs4=(d==2)+(d==4) tt=ex1+ex0+ex2+ex3+ex4 ; d=real(p3) dd=trunc(d) da=(d-dd)*10000000000 pp=trunc(dd/10000) ba1=dd-10000*pp ba2=trunc(da/100000) ba3=da-100000*ba2 ; d=imag(p3) sfac=trunc(d) da=(d-sfac)*100000000000 ba4=trunc(da/1000000) ba5=da-ba4*1000000 ; d=real(p4) ofac=trunc(d) da=(d-ofac)*10000000000 bh=trunc(da/100000)/10 bl=(da-bh*1000000)/10 bs=bl/2 ; d=imag(p2) t=d<0 if (t) d=-d endif dd=trunc(d) da=round((d-dd)*10000000000) d=trunc(dd/10000) dd=dd-d*10000 bb0=ba1*(d==1)+ba2*(d==2)+ba3*(d==3)+ba4*(d==4)+ba5*(d==5) d=trunc(dd/1000) dd=dd-d*1000 bb1=ba1*(d==1)+ba2*(d==2)+ba3*(d==3)+ba4*(d==4)+ba5*(d==5) d=trunc(dd/100) dd=dd-d*100 bb2=ba1*(d==1)+ba2*(d==2)+ba3*(d==3)+ba4*(d==4)+ba5*(d==5) d=trunc(dd/10) dd=dd-d*10 bb3=ba1*(d==1)+ba2*(d==2)+ba3*(d==3)+ba4*(d==4)+ba5*(d==5) d=round(dd) bb4=ba1*(d==1)+ba2*(d==2)+ba3*(d==3)+ba4*(d==4)+ba5*(d==5) ; d=da p0=trunc(d/100000000)/10 d=d-p0*1000000000 p6=trunc(d/1000000)/10 d=d-p6*10000000 if (t) p6=-p6 endif p7=trunc(d/10000)/10 d=d-p7*100000 dp=p6+p0/100 p8=trunc(d/100)/100 d=d-p8*10000 p9=d/100 ; d=imag(p4) mi1=trunc(d) da=(d-mi1)*100000000000 d=trunc(da/10000000000) bt1=d>6 da=da-d*10000000000 d=d-5*bt1 dt1=d>1 iv1=d==3 fac1=trunc(da/100000) da=da-fac1*100000 bo1=(da/100000)/10 ; d=real(p5) mi2=trunc(d) da=(d-mi2)*100000000000 d=trunc(da/10000000000) bt2=d>6 da=da-d*10000000000 d=d-5*bt2 dt2=d>1 iv2=d==3 fac2=trunc(da/100000) da=da-fac2*100000 bo2=(da/100000)/10 ; if (mi3==1) d=(ba-mi3)*1000000 fr=round((trunc(d/10000))*10) ;lake effect by S.Gallet d=d-fr*1000 lv=(trunc(d/100))/100 d=d-lv*10000 am=d/100 u=real(rotskew*pi/180) t=exp(-flip(u)) bo=1/real(magxmag) q=bo/0.75*imag(magxmag) dd=tan(imag(rotskew*pi/180)) da=2*q*t rs=2*bo*(dd+flip(1))*t zz=center+(-q-bo*dd-flip(bo))*t z=z-zz d=imag(conj(da)*z)/imag(conj(da)*rs) le=d<=lv if (le) dd=lv-d z=z+2*dd*(1+am*sin(fr*dd^0.2))*rs endif z=z+zz else da=(ba-mi3)*100000000000 d=trunc(da/10000000000) bt3=d>6 da=da-d*10000000000 d=d-5*bt3 dt3=d>1 iv3=d==3 fac3=trunc(da/100000) da=da-fac3*100000 bo3=(da/100000)/10 endif ; if (vb) if (d3) if (ab) z=z*le+pixel*(le==0) ;Spider c=p1 else z=z*le+pixel*(le==0) c=p1 ;newton endif elseif (ab) c=z ;Phoenix z=z*le+pixel*(le==0) else c=0.4*log(sqr(z^mm)) ;many mods z=0 endif elseif (d3) if (ab) c=p1 ;Julia z=z*le+pixel*(le==0) else ;bees c=p1 z=z*le+pixel*(le==0) endif elseif (ab) c=z ;Mandel z=0 else c=z ;Secant z=z*le+pixel*(le==0) endif t=0 bo=|z| p=pp z0=p7 zold=(0.0,0.0) cb=p9 ba=bb0 : if (tt) t=t+1 if (ex0) ex0=t<mi1 if (bo>bs) u=2*(fn1(t/sfac)) ex0=0 if (ir0) t=0 endif if (d4) z=z*u if (mo) c=0.4*log(sqr(z^mm)) else c=pixel endif else z=z*le+pixel*(le==0) cb=p9*u c=p1*u p=pp*u endif tt=tt-1+ex0 endif elseif ((ex1)&&bo>bl) if (bo<bh) d3=dd1 ba=bb1 ab=ab1 ex1=0 tt=tt-1 if (w1) u=2*(fn2(t/ofac)) else u=1,0 endif if (ir1) t=0 endif if (d3) vb=v1j if (rs1) z=pixel cb=p9*u c=p1*u p=pp*u else c=p1 z=z*u cb=p9 endif else vb=v1m if (rs1) c=z*u z=pixel*(sc1+px1) z0=p7*u ph=ph*u else c=z z=z*u endif if (mo1) c=0.4*log(sqr(z^mm)) endif endif endif elseif (ex2) if (dt1) if (iv1) d=bo>bo1 else d=bo<bo1 endif if (bt1) d=d+(t>mi1) endif else d=t>mi1 endif if (d) ab=ab2 d3=dd2 ba=bb2 ex2=0 tt=tt-1 if (w2) u=2*(fn2(t/fac1)) else u=1,0 endif if (ir2) t=0 endif if (d3) vb=v2j if (rs2) z=pixel cb=p9*u c=p1*u p=pp*u else cb=p9 c=p1 z=z*u endif else vb=v2m if (rs2) c=z*u z=pixel*(sc2+px2) z0=p7*u ph=ph*u else c=z z=z*u endif if (mo2) c=0.4*log(sqr(z^mm)) endif endif endif elseif (ex3) if (dt2) if (iv2) d=bo>bo2 else d=bo<bo2 endif if (bt2) d=d+(t>mi2) endif else d=t>mi2 endif if (d) ab=ab3 d3=dd3 ba=bb3 ex3=0 tt=tt-1 if (w3) u=2*(fn3(t/fac2)) else u=1,0 endif if (ir3) t=0 endif if (d3) vb=v3j if (rs3) z=pixel cb=p9*u c=p1*u p=pp*u else cb=p9 c=p1 z=z*u endif else vb=v3m if (rs3) c=z*u z=pixel*(sc3+px3) z0=p7*u ph=ph*u else c=z z=z*u endif vb=v3m if (mo3) c=0.4*log(sqr(z^mm)) endif endif endif elseif (ex4) if (dt3) if (iv3) d=bo>bo3 else d=bo<bo3 endif if (bt3) d=d+(t>mi3) endif else d=t>mi3 endif if (d) ab=ab4 d3=dd4 ba=bb4 ex4=0 tt=0 if (w4) u=2*(fn4(t/fac3)) else u=1,0 endif if (d3) vb=v4j if (rs4) z=pixel cb=p9*u c=p1*u p=pp*u else cb=p9 c=p1 z=z*u endif else vb=v4m if (rs4) c=z*u z=pixel*(sc4+px4) z0=p7*u ph=ph*u else c=z z=z*u endif if (mo4) c=0.4*log(sqr(z^mm)) endif endif endif endif endif if (vb) if (d3) if (ab) z=z*z+c ;Spiderjul John Horner c=c*sp+z else z1=z^p-1 ;Quasinewton Puskas Istvan z2=p*z*z z=z-z1/z2 endif elseif (ab) z1=z*z+0.56+ph/100-0.5*zold ;Phoenix Mike Wareman zold=z z=z1 else z2=fn1(z)+c ;Many_mods Linda Allison z1=cos(z2) z=c*(1-z1)/(1+z1) endif elseif (d3) if (ab) z2=z*z ;Julia Puskas Istvan z=z2*z2+p6*z2+c-p0 else z1=fn1(z)-cb ;Bees Ray Girvan z2=z1^p8-1 z3=p8*(z1^(p8-1)) z=z-(z2/z3) endif elseif (ab) if (dm) z=z*z+c+c*c-dp ;Double Mandel else z2=z*z ;Mandel Puskas Istvan z=z2*z2+p6*z2+c-p0 endif else z3=z ;Secant Mike Wareman z1=z0*z0*z0*z0-1 z2=z*z*z*z-1 z=z-z2*(z-z0)/(z2-z1) z0=z3 endif bo=|z| bo<ba }

3 3

correct FOTD 09-04-11 (A Trinity of Piece [New 5, Old 7])
by Jim Muth 09 Apr '11

09 Apr '11

FOTD -- April 09, 2011 (Rating new-5, old-7) Fractal visionaries and enthusiasts: Notice the big announcement below the address of the original FOTD web site. And also notice my new return email address. The fractal itself is a scene in the large minibrot on the west branch of the filament extending from the large north bud of the large minibrot on the main spike of the parent, which is almost a Mandelbrot set. On its surface, the parent fractal is a normal Mandelbrot set, but in its depths it gradually takes on quartic characteristics. Today's image lies at the extreme depth of 2*(10^12), a depth where the quartic nature totally predominates. The image also contains strong anti-minibrot trends. I'll leave it to the individual fractalist to find these trends. The image rates a 5, which is right at FOTD average and equals the old rating of a 7. The name "A Trinity of Piece" makes little sense, since I used another spelling of the final word to avoid unintended religious connotations. The calculation time of 1-1/3 minutes will pass in a flash, even for those with less-than-SOTA machines. And the finished image may be viewed on the currently active web site at: <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> without the need to calculate it. The original FOTD web site can be accessed at: <http://www.Nahee.com/FOTD/> BIG ANNOUNCEMENT! -- The debut date of my own FOTD web site has been set! The web address will be announced in the FOTD for April 12. Heavy clouds, steady rain and a chilly temperature of 41F +5C made Friday here at Fractal Central a day to be forgotten. Not only are the local farmers complaining that they cannot work their fields, but the schools are complaining that they cannot play their scheduled games. The fractal cats are just complain- ing generally. The day of the humans, (a good name for a sci-fi horror movie), was once again busy, but this is the way we like to see it. The next FOTD will be posted in 24 hours, that is unless it is post- poned because of an antiquing trip. Until next time, take care, and when things go wrong, make them go right. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= A_Trinity_of_Piece { ; time=0:01:22.39-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=FinDivBrot-2 function=recip passes=1 center-mag=-1.758922148621982/+0.01911085321254484\ /2.512392e+012/1/-45/0 params=4/200000/0/0 float=y maxiter=1500 inside=255 logmap=149 periodicity=6 mathtolerance=0.05/1 colors=000302403504605706807908A09C0AE0BG0CI0DK1EM\ 2FO3GR3HU4IY4J`5Kc5Lf6Mi7Nm7Op8Ps8Qv9Ry9SzBQvCOrDM\ mFKhGIcIGZLEUNCPPBLUCKYDKcEKhFKgEKbEK`EKZEKWEKUEHS\ ECQE8OEANGCNHENJGNKHNMJNNLNPNNQONSQNTSNVUNWVNXSOYQ\ PZNPZLQ_JR_GR`ES`CTa9Ta7Ub5UbBVcGWdLWeRXfWYg`YhfZi\ c`h`bgYdfVfeShdPjcMmbKnaIn_InYImWIlUJlSJkQJjOhjMhi\ KhhJhhHmgFmfDmfCmeAmd8md7mc5mb3mb2mc4mc5mc7zd8zdAz\ dBzdCzeEzeFzeHzeIzfJzfLzfMzfOzgPzgQzgSzhTzhVzhWzhY\ ziZzi_ziazibzjdzjezjfzjhzkizkkzklzfjzilzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzhjzfizehzcgz\ afz_ezZdzXczVczTbvSarQ`mO_hMZcLYZJXPH`JF`JE_JCZJAY\ K8XK7WK5VK3UL1VK2UK2TK2TK3SK3SK3RP3VP4VP4UP4UP5TP5\ TP5SP5RP6RP6QP6QP7PP7OP7OP7NO8NO8CO8CO8BO9AO9AO99O\ A9OA8OA7OA7OB6OB6OB5OC5OC4OC3OC3OD2OD2OD1OD1PE3QE4\ QF5RF7RF8SG9TGATGCUHDUHEVIGVIHWIIXJJXJLYJMYKNZKOZL\ Q_LR`LS`MUaMVaMWbNXbNZmzz } frm:FinDivBrot-2 { ; Jim Muth z=(0,0), c=pixel, a=-(real(p1)-2), esc=(real(p2)+16), b=imag(p1): z=(b)*(z*z*fn1(z^(a)+b))+c |z| < esc } END PARAMETER FILE=========================================

1 0

FOTD 09-04-11 (A Trinity of Piece [New 5, Old 7])
by Jim Muth 09 Apr '11

09 Apr '11

FOTD -- April 09, 2011 (Rating new-5, old-7) Fractal visionaries and enthusiasts: Notice the big announcement below the address of the original FOTD web site. And also notice my new return email address. The fractal itself is a scene in the large minibrot on the west branch of the filament extending from the large north bud of the large minibrot on the main spike of the parent, which is almost a Mandelbrot set. On its surface, the parent fractal is a normal Mandelbrot set, but in its depths it gradually takes on quartic characteristics. Today's image lies at the extreme depth of 2*(10^12), a depth where the quartic nature totally predominates. The image also contains strong anti-minibrot trends. I'll leave it to the individual fractalist to find these trends. The image rates a 5, which is right at FOTD average and equals the old rating of a 7. The name "A Trinity of Piece" makes little sense, since I used another spelling of the final word to avoid unintended religious connotations. The calculation time of 1-1/3 minutes will pass in a flash, even for those with less-than-SOTA machines. And the finished image may be viewed on the currently active web site at: <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> without the need to calculate it. The original FOTD web site can be accessed at: <http://www.Nahee.com/FOTD/> BIG ANNOUNCEMENT! -- The debut date of my own FOTD web site has been set! The web address will be announced in the FOTD for April 12. Heavy clouds, steady rain and a chilly temperature of 41F +5C made Friday here at Fractal Central a day to be forgotten. Not only are the local farmers complaining that they cannot work their fields, but the schools are complaining that they cannot play their scheduled games. The fractal cats are just complain- ing generally. The day of the humans, (a good name for a sci-fi horror movie), was once again busy, but this is the way we like to see it. The next FOTD will be posted in 24 hours, that is unless it is post- poned because of an antiquing trip. Until next time, take care, and when things go wrong, make them go right. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= A_Trinity_of_Piece { ; time=0:01:22.39-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=FinDivBrot-2 function=recip passes=1 center-mag=-1.758922148621982/+0.01911085321254484\ /2.512392e+012/1/-45/0 params=4/200000/0/0 float=y maxiter=1500 inside=255 logmap=149 periodicity=6 mathtolerance=0.05/1 colors=000302403504605706807908A09C0AE0BG0CI0DK1EM\ 2FO3GR3HU4IY4J`5Kc5Lf6Mi7Nm7Op8Ps8Qv9Ry9SzBQvCOrDM\ mFKhGIcIGZLEUNCPPBLUCKYDKcEKhFKgEKbEK`EKZEKWEKUEHS\ ECQE8OEANGCNHENJGNKHNMJNNLNPNNQONSQNTSNVUNWVNXSOYQ\ PZNPZLQ_JR_GR`ES`CTa9Ta7Ub5UbBVcGWdLWeRXfWYg`YhfZi\ c`h`bgYdfVfeShdPjcMmbKnaIn_InYImWIlUJlSJkQJjOhjMhi\ KhhJhhHmgFmfDmfCmeAmd8md7mc5mb3mb2mc4mc5mc7zd8zdAz\ dBzdCzeEzeFzeHzeIzfJzfLzfMzfOzgPzgQzgSzhTzhVzhWzhY\ ziZzi_ziazibzjdzjezjfzjhzkizkkzklzfjzilzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzhjzfizehzcgz\ afz_ezZdzXczVczTbvSarQ`mO_hMZcLYZJXPH`JF`JE_JCZJAY\ K8XK7WK5VK3UL1VK2UK2TK2TK3SK3SK3RP3VP4VP4UP4UP5TP5\ TP5SP5RP6RP6QP6QP7PP7OP7OP7NO8NO8CO8CO8BO9AO9AO99O\ A9OA8OA7OA7OB6OB6OB5OC5OC4OC3OC3OD2OD2OD1OD1PE3QE4\ QF5RF7RF8SG9TGATGCUHDUHEVIGVIHWIIXJJXJLYJMYKNZKOZL\ Q_LR`LS`MUaMVaMWbNXbNZmzz } FinDivBrot-2 { ; Jim Muth z=(0,0), c=pixel, a=-(real(p1)-2), esc=(real(p2)+16), b=imag(p1): z=(b)*(z*z*fn1(z^(a)+b))+c |z| < esc } END PARAMETER FILE=========================================

1 0

(Fractint) Fractint for windows
by Albrecht Niekamp 08 Apr '11

08 Apr '11

Hi Richard, maybe you have read my mails about multifractals. As preliminary versions run well with fractint for windows I wonder, if it is possible to increase the size of the internal buffer, as I get a "Buffer overrun" error if I try to load multifractal_10. Sincerely, Albrecht

2 1

FOTD 08-04-11 (Rhythm in Chronons [New 6, Old 7])
by Jim Muth 07 Apr '11

07 Apr '11

FOTD -- April 08, 2011 (Rating new-6, old-7) Fractal visionaries and enthusiasts: Today's image is lies in the same parent fractal that gave us yesterday's image. But instead of lying in the fan itself, today's scene is located in a field of chaos extending from a spurious bud just beyond the eastern limit of the parent's 'fan'. The rating of a 6 on the new scale is about equal to an old rating of a 7. The name "Rhythm in Chronons" came to mind a chronon after I decided to name the image. The 4-D spacetime universe actually extends in time as well as in space, and just as the Plank length is the shortest possible spatial distance, a chronon is the smallest possible duration of time. The calculation time of 1-3/4 minutes is neither notably fast nor slow. It is about what would be expected for a fractal on a 2000mhz machine. All problems connected with fractal calculation may be avoided by checking the finished image on the currently active FOTD web site at: <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> The original FOTD web site, which has existed for 14 years, is located at: <http://www.Nahee.com/FOTD/> My own web site is very nearly ready. One remaining problem is that a lot of the old links are no longer valid. (Do I hear murmurs that my site has supposedly been nearly ready for months? Very soon these doubters will have to eat their doubts. [But I'm not sure how a doubt might be seasoned.]) The rain ended Wednesday night here at Fractal Central, but the clouds hung on all day Thursday. When the temperature got no higher than 48F +9C Thursday afternoon, the fractal cats grew disgusted and released their frustration tearing up a carpet and chasing each other up and down the long hallway. The humans' day was quite busy also. The next FOTD will be posted in 24 hours. Until then, take care, and be eager to experience whatever may happen. Jim Muth jamth(a)mindspring.com START PARAMETER FILE======================================= Rhythm_in_Chronons { ; time=0:01:47.82-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=MandAutoCritInZ function=recip float=y center-mag=+4.9806165564949/-0.675127991569/2.6679\ 75e+009/1/52.5/0 params=-5.5/-1.2/-0.02/-11.3/0/0/\ 0/0 maxiter=2400 inside=0 logmap=247 periodicity=6 colors=000E0YF0WF0UF0SF0QF0PF0NF0LF0JF0IHALJ0NKHQM\ 0SNPUPAXR`ZPGUWhCmTCRqCO_CzqMLZBJmBGVBEjBBSA9hA6OA\ 4gA9WDEeGJ`JOcMcdPHbIamUA`BcjCDVDE8DFNEHBFILFJFGKH\ HLIHLFILCJPBJL7KP5TO7OR9STAVWCZYEa`FecHieJlhKpgMsm\ OwmPziXlhd_YlNmiAVrDrkGZpJzlMbnPzmSflVvkYvj`ricnhf\ hdcb`aYY_SUYMQWHNUBJI5FG0CEFHHTRTUQUVQVVQWWQWXPXXP\ YYPZZPZZO__O``Oa`OaaNbbMccLccKddKeeJefIffHggGghGhi\ Fii9ij8jk7kk7khJie0gb0e`0cU2RY0W`0`c0ef0ji0ol0th0p\ e3lb8h_DdWI`TSXQXTNaPPZOQWORPNTMNUJMVHMSILQJLPMGOK\ LOJPOHUOGYNEaNDfNBjJ6qNAnQDlTGiWJg_MdbPbeS_hVYkYWh\ VXeSYbPZ_M_XJ`UGaQBcREaSG_TIYUKWVMUWPSXTQXXOY`MZdK\ _iI`kGamEboCcqAer7cs8at8_u8Zv8Xw8cx8cy8cz7cz7cz7cz\ 7cz7cz7mz7mz7mz7mz7mz7mz7mz7mz7mz5mz7mz9mzBmzDmzFm\ zHmzJzzKzzMzzOzzQzzSzzUzzWzzYzz`zzZzzXzzVzzTzzRzzP\ zzNzzLvzJzzLzzNzzOzzQzzSzzTzzXzz`zzdzzgzzkzzozzszz\ vzzjzzjzzjzzjzzjzzjzzjzzj } 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 07-04-11 (Augmented Ideation [New 4, Old 6])
by Jim Muth 06 Apr '11

06 Apr '11

FOTD -- April 07, 2011 (Rating new 4, old 6) Fractal visionaries and enthusiasts: Today's image is named "Augmented Ideation", whatever that might mean. It is located in a minor valley on the edge of the 'fan' of the parent fractal that is created when 5.5 negative parts of Z^(-1.2) are combined with 0.02 negative parts of Z^(-11.3) and (1/C) is added. The resulting fractal consists of a main part, which is almost all 'fan', and a disconnected 'ring' lying some distance to the northeast. Today's image was given a quick extra kick by rendering it with the outside set to 'tdis'. Other options give different render- ings, though none are much better than the 'tdis' The rating of a 4 is not as bad as it seems. The rating is on the new scale. On the old scale it would rate a 6. The calculation time of 9 minutes is slower than ideal. But the ideal situation seldom prevails in this less-than-perfect world, so a bit of patience will be required. Impatience may be kept to a minimum by viewing the image on the currently active FOTD web site at: <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> where the finished image is posted. The original FOTD web site is at: <http://www.Nahee.com/FOTD/> The address of my own web site will be posted as soon as we get the April images up to date. The new images will then be posted on a real-time everyday basis. It will take a while to get the entire 14-year FOTD history posted however. A sunny morning here at Fractal Central on Wednesday gave way to a cloudy midday and rainy afternoon. The temperature of 43F +6C felt like anything but spring. The fractal cats were aware of the conditions but chose to ignore them, concentrating instead on the quest for food. The humans' day was busy enough, mostly with putting the finish- ing touches on the soon-to-appear new FOTD web site. (As soon as we correct one deficiency, another appears.) The next FOTD will be posted in 24 hours. Until then, take care, and for a new view on life, look to the negative side. Jim Muth jamth(a)mindspring.com START PARAMETER FILE======================================= Augmented_Ideation { ; time=0:09:07.72-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=MandAutoCritInZ function=recip float=y center-mag=+3.775590862684/+0.015254391512/2.5e+08\ /1/-137.5/0 params=-5.5/-1.2/-0.02/-11.3/0/0/0/0 maxiter=15000 inside=0 outside=tdis periodicity=6 colors=000zqMLZBJXBGVBETBBSA9QA6OA4PA9SDEVGJYJOaMT\ dPYhSakUAhBCdCD6DE8DFAEHBFIDFJFGKHHLIHLFILCJLAJL7K\ L5KO7OR9STAVWCZYEa`FecHieJlhKpjMsmOwoPziXlcd_YlNTt\ AVrDXqGZpJ`oMbnPdmSflVhkYjj`licnhfhdcb`aYY_SUYMQWH\ NUBJS5FQ0COFMRTWTUVUVVVVVWWVWXUXXUYYUZZUZZT__T``Ta\ `TaaSbbRccQccPddPeeOefNffMggLghLhiKiiJijIjkHkkHkhT\ iecgbne`ycUCRYAW`8`c7ef5ji3ol2th8peDlbIh_NdWS`TXXQ\ aTNfPPcOQ`ORZNTWNUTMVRMSSLQTLPWGOULOTPORUOQYNOaNNf\ NLjJGqNKnQNlTQiWTg_WdbZbea_hdYkgWhdXeaYbZZ_W_XT`UQ\ aQLcROaSQ_TSYUUWVWUWZSX`QXbOYdMZfK_iI`kGamEboCcqAe\ r7cs8as8_s8Zs8Xs8Vs8Us8Tq7So7Sm7Rl7Rj7Qh7Pf7Pe7Oc7\ Oa7N_7MZ7MX7LV7MV5LU7KT9KSBJRDJQFIQHIPJHOKGNMGMOFM\ QFLSEKUEJWDIY7F`DIZJKXPNVVPT_SReUPkXNqZLv`JocLifNc\ iOYlQSoSMrTQmXUi`Yed`agdXkhTolPsoLvUGjTGjSGjSGjRGj\ QGjQGjPGjOFlPGjPHhPIfPJdPKcPLaPM_PNYPOXRS_TVaUYdWa\ fXdhZak`kmYfDWaCgVCRaCO_C } 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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Fractint - MFR345G
by Albrecht Niekamp 06 Apr '11

06 Apr '11

Hi, Have fun! MFR345G {; Zooming Playground ; 4.4.2011, Albrecht Niekamp ; Time 0.13.33 ; XP Dos Shell 1600/1200 reset=2004 type=formula formulafile=MFR345G.par formulaname=multifractal_10 function=sin/exp/exp/sin passes=t center-mag=-0.0887779/2.498e-016/13.33333 params=-0.05825983458967864/0.3785210730307932/35187.64\ 595767025/14235.4911030602/152048.0404808048/384.160489\ 4048/384.00482000595/256.1007683001/512.1007683001/768.\ 1007683001 float=y maxiter=3071 inside=maxiter outside=tdis periodicity=0 rseed=-2436 colors=200034022000<8>IF9KHAMJBOLCQMDSOE<8>icNkeOmfP<3>\ unTwpVxqWzsX<25>CB7A96875<3>000400<23>o00q00s00<3>z00<2\ 5>C00A00800<3>000<11>LLLNNNPPPQQQSSSUUU<6>fffgggiiijjjl\ ll<3>sss<25>BBB999777<2>222000012<22>0_k0am0bo0cq<3>0jx\ 0kz0jx<27>056 } FRM:multifractal_10 { ; Albrecht Niekamp Jan2005 ; le=0 z=pixel da=real(p2) dd=trunc(da) da=round((da-dd)*100000000000)+11111 dd=dd+11111 d=trunc(dd/10000) dd=dd-d*10000 d3=(d==4)+(d==5)+(d==8)+(d==9) d4=d3==0 vb=d>5 sc=d==2 mo=d==6 px=d==7 ab=px+(d==3)+(d==5)+(d==9) d=trunc(dd/1000) dd=dd-d*1000 ex1=d>1 sc1=d==2 mo1=d==6 px1=d==7 v1m=mo1+px1 v1j=d>7 dd1=v1j+(d==4)+(d==5) ab1=px1+(d==3)+(d==5)+(d==9) d=trunc(dd/100) dd=dd-d*100 ex2=d>1 sc2=d==2 mo2=d==6 px2=d==7 v2m=mo2+px2 v2j=d>7 dd2=v2j+(d==4)+(d==5) ab2=px2+(d==3)+(d==5)+(d==9) d=trunc(dd/10) ex3=d>1 sc3=d==2 mo3=d==6 px3=d==7 v3m=mo3+px3 v3j=d>7 dd3=v3j+(d==4)+(d==5) ab3=px3+(d==3)+(d==5)+(d==9) d=dd-d*10 ba=imag(p5) mi3=trunc(ba) dd=(d>1)+(mi3>1) ex4=dd==2 sc4=d==2 mo4=d==6 px4=d==7 v4m=mo4+px4 v4j=d>7 dd4=v4j+(d==4)+(d==5) ab4=px4+(d==3)+(d==5)+(d==9) ; mm=trunc(da/1000000000) da=da-mm*1000000000 ph=trunc(da/10000000)/100 da=da-ph*1000000000 sp=trunc(da/100000)/100 da=da-sp*10000000 d=trunc(da/10000) ex0=d>4 da=da-d*10000 d=d-5*ex0 dm=(d==2)+(d==4) ir0=(d==3)+(d==4) d=trunc(da/1000) w1=d>4 da=da-d*1000 d=d-5*w1 rs1=(d==2)+(d==4) ir1=(d==3)+(d==4) d=trunc(da/100) w2=d>4 da=da-d*100 d=d-5*w2 rs2=(d==2)+(d==4) ir2=(d==3)+(d==4) d=trunc(da/10) w3=d>4 da=da-d*10 d=d-5*w3 rs3=(d==2)+(d==4) ir3=(d==3)+(d==4) d=round(da) w4=d>4 d=d-5*w4 rs4=(d==2)+(d==4) tt=ex1+ex0+ex2+ex3+ex4 ; d=real(p3) dd=trunc(d) da=(d-dd)*10000000000 pp=trunc(dd/10000) ba1=dd-10000*pp ba2=trunc(da/100000) ba3=da-100000*ba2 ; d=imag(p3) sfac=trunc(d) da=(d-sfac)*100000000000 ba4=trunc(da/1000000) ba5=da-ba4*1000000 ; d=real(p4) ofac=trunc(d) da=(d-ofac)*10000000000 bh=trunc(da/100000)/10 bl=(da-bh*1000000)/10 bs=bl/2 ; d=imag(p2) t=d<0 if (t) d=-d endif dd=trunc(d) da=round((d-dd)*10000000000) d=trunc(dd/10000) dd=dd-d*10000 bb0=ba1*(d==1)+ba2*(d==2)+ba3*(d==3)+ba4*(d==4)+ba5*(d==5) d=trunc(dd/1000) dd=dd-d*1000 bb1=ba1*(d==1)+ba2*(d==2)+ba3*(d==3)+ba4*(d==4)+ba5*(d==5) d=trunc(dd/100) dd=dd-d*100 bb2=ba1*(d==1)+ba2*(d==2)+ba3*(d==3)+ba4*(d==4)+ba5*(d==5) d=trunc(dd/10) dd=dd-d*10 bb3=ba1*(d==1)+ba2*(d==2)+ba3*(d==3)+ba4*(d==4)+ba5*(d==5) d=round(dd) bb4=ba1*(d==1)+ba2*(d==2)+ba3*(d==3)+ba4*(d==4)+ba5*(d==5) ; d=da p0=trunc(d/100000000)/10 d=d-p0*1000000000 p6=trunc(d/1000000)/10 d=d-p6*10000000 if (t) p6=-p6 endif p7=trunc(d/10000)/10 d=d-p7*100000 dp=p6+p0/100 p8=trunc(d/100)/100 d=d-p8*10000 p9=d/100 ; d=imag(p4) mi1=trunc(d) da=(d-mi1)*100000000000 d=trunc(da/10000000000) bt1=d>6 da=da-d*10000000000 d=d-5*bt1 dt1=d>1 iv1=d==3 fac1=trunc(da/100000) da=da-fac1*100000 bo1=(da/100000)/10 ; d=real(p5) mi2=trunc(d) da=(d-mi2)*100000000000 d=trunc(da/10000000000) bt2=d>6 da=da-d*10000000000 d=d-5*bt2 dt2=d>1 iv2=d==3 fac2=trunc(da/100000) da=da-fac2*100000 bo2=(da/100000)/10 ; if (mi3==1) d=(ba-mi3)*1000000 fr=round((trunc(d/10000))*10) ;lake effect by S.Gallet d=d-fr*1000 lv=(trunc(d/100))/100 d=d-lv*10000 am=d/100 u=real(rotskew*pi/180) t=exp(-flip(u)) bo=1/real(magxmag) q=bo/0.75*imag(magxmag) dd=tan(imag(rotskew*pi/180)) da=2*q*t rs=2*bo*(dd+flip(1))*t zz=center+(-q-bo*dd-flip(bo))*t z=z-zz d=imag(conj(da)*z)/imag(conj(da)*rs) le=d<=lv if (le) dd=lv-d z=z+2*dd*(1+am*sin(fr*dd^0.2))*rs endif z=z+zz else da=(ba-mi3)*100000000000 d=trunc(da/10000000000) bt3=d>6 da=da-d*10000000000 d=d-5*bt3 dt3=d>1 iv3=d==3 fac3=trunc(da/100000) da=da-fac3*100000 bo3=(da/100000)/10 endif ; if (vb) if (d3) if (ab) z=z*le+pixel*(le==0) ;Spider c=p1 else z=z*le+pixel*(le==0) c=p1 ;newton endif elseif (ab) c=z ;Phoenix z=z*le+pixel*(le==0) else c=0.4*log(sqr(z^mm)) ;many mods z=0 endif elseif (d3) if (ab) c=p1 ;Julia z=z*le+pixel*(le==0) else ;bees c=p1 z=z*le+pixel*(le==0) endif elseif (ab) c=z ;Mandel z=0 else c=z ;Secant z=z*le+pixel*(le==0) endif t=0 bo=|z| p=pp z0=p7 zold=(0.0,0.0) cb=p9 ba=bb0 : if (tt) t=t+1 if (ex0) ex0=t<mi1 if (bo>bs) u=2*(fn1(t/sfac)) ex0=0 if (ir0) t=0 endif if (d4) z=z*u if (mo) c=0.4*log(sqr(z^mm)) else c=pixel endif else z=z*le+pixel*(le==0) cb=p9*u c=p1*u p=pp*u endif tt=tt-1+ex0 endif elseif ((ex1)&&bo>bl) if (bo<bh) d3=dd1 ba=bb1 ab=ab1 ex1=0 tt=tt-1 if (w1) u=2*(fn2(t/ofac)) else u=1,0 endif if (ir1) t=0 endif if (d3) vb=v1j if (rs1) z=pixel cb=p9*u c=p1*u p=pp*u else c=p1 z=z*u cb=p9 endif else vb=v1m if (rs1) c=z*u z=pixel*(sc1+px1) z0=p7*u ph=ph*u else c=z z=z*u endif if (mo1) c=0.4*log(sqr(z^mm)) endif endif endif elseif (ex2) if (dt1) if (iv1) d=bo>bo1 else d=bo<bo1 endif if (bt1) d=d+(t>mi1) endif else d=t>mi1 endif if (d) ab=ab2 d3=dd2 ba=bb2 ex2=0 tt=tt-1 if (w2) u=2*(fn2(t/fac1)) else u=1,0 endif if (ir2) t=0 endif if (d3) vb=v2j if (rs2) z=pixel cb=p9*u c=p1*u p=pp*u else cb=p9 c=p1 z=z*u endif else vb=v2m if (rs2) c=z*u z=pixel*(sc2+px2) z0=p7*u ph=ph*u else c=z z=z*u endif if (mo2) c=0.4*log(sqr(z^mm)) endif endif endif elseif (ex3) if (dt2) if (iv2) d=bo>bo2 else d=bo<bo2 endif if (bt2) d=d+(t>mi2) endif else d=t>mi2 endif if (d) ab=ab3 d3=dd3 ba=bb3 ex3=0 tt=tt-1 if (w3) u=2*(fn3(t/fac2)) else u=1,0 endif if (ir3) t=0 endif if (d3) vb=v3j if (rs3) z=pixel cb=p9*u c=p1*u p=pp*u else cb=p9 c=p1 z=z*u endif else vb=v3m if (rs3) c=z*u z=pixel*(sc3+px3) z0=p7*u ph=ph*u else c=z z=z*u endif vb=v3m if (mo3) c=0.4*log(sqr(z^mm)) endif endif endif elseif (ex4) if (dt3) if (iv3) d=bo>bo3 else d=bo<bo3 endif if (bt3) d=d+(t>mi3) endif else d=t>mi3 endif if (d) ab=ab4 d3=dd4 ba=bb4 ex4=0 tt=0 if (w4) u=2*(fn4(t/fac3)) else u=1,0 endif if (d3) vb=v4j if (rs4) z=pixel cb=p9*u c=p1*u p=pp*u else cb=p9 c=p1 z=z*u endif else vb=v4m if (rs4) c=z*u z=pixel*(sc4+px4) z0=p7*u ph=ph*u else c=z z=z*u endif if (mo4) c=0.4*log(sqr(z^mm)) endif endif endif endif endif if (vb) if (d3) if (ab) z=z*z+c ;Spiderjul John Horner c=c*sp+z else z1=z^p-1 ;Qusinewton Pusk s Istv n z2=p*z*z z=z-z1/z2 endif elseif (ab) z1=z*z+0.56+ph/100-0.5*zold ;Phoenix Mike Wareman zold=z z=z1 else z2=fn1(z)+c ;Many_mods Linda Allison z1=cos(z2) z=c*(1-z1)/(1+z1) endif elseif (d3) if (ab) z2=z*z ;Julia Pusk s Istv n z=z2*z2+p6*z2+c-p0 else z1=fn1(z)-cb ;Bees Ray Girvan z2=z1^p8-1 z3=p8*(z1^(p8-1)) z=z-(z2/z3) endif elseif (ab) if (dm) z=z*z+c+c*c-dp ;Double Mandel else z2=z*z ;Mandel Pusk s Istv n z=z2*z2+p6*z2+c-p0 endif else z3=z ;Secant Mike Wareman z1=z0*z0*z0*z0-1 z2=z*z*z*z-1 z=z-z2*(z-z0)/(z2-z1) z0=z3 endif bo=|z| bo<ba } Sincerely, Albrecht

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FOTD 06-04-11 (A Paradox of Time [New 5, Old 7])
by Jim Muth 05 Apr '11

05 Apr '11

FOTD -- April 06, 2011 (Rating new 5, old 7) Fractal visionaries and enthusiasts: With today's image we start a new rating scale. The new scale will run from one to ten just as the old scale did, but in the new scale a rating of one will indicate an image just barely worth FOTD status, whereas in the old scale, anything under a 4 was discarded as too poor to be an FOTD. Today's image shows a cubic minibrot with quadratic tendencies. It is located in the area of the large minibrot on the main stem of the parent fractal, which is a Mandelbrot set caught morphing into a cubic Mandeloid. The name "A paradox of Time" has nothing to do with relativity or time travel. In fact, it has nothing to do with the image at all. It is simply what came out when I sat at the keyboard to write a name. Actually, I rather enjoy the somber dark blues areas and spider- like networks surrounding the central minibrot. It all creates an atmosphere of pleasant sadness. The calculation time of 45 seconds is almost beyond belief for an image of such magnitude created by the FinDivBrot-2 formula. It means that the first pass of the image will fill the screen before it can shift to Super-VGA mode. As equally effortless way to see the image is to surf down to the active FOTD web site at: <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> where the finished image is posted. The original FOTD web site may be accessed at: <http://www.Nahee.com/FOTD/> but it is far from up to date. My own web site is close, but has not yet arrived. An unex- pectedly busy day on Tuesday prevented us from applying the intended final corrections. Tuesday here at Fractal Central began with rain and ended with sun. However the temperature fell short of what it should be at this time of year, reaching a high of only 43F 11C. The fractal cats' moods improved with the increasing sun. By mid afternoon they were as happy as indoor cats could be. The day of the humans was too busy to be as pleasant, though the work went well and was finished with an hour or so to spare. If all goes equally as well, and why should it not, the next FOTD will be posted in 24 hours. Until then, take care, and a thoughtful philosopher once said that it is a terrible waste for unconscious matter to persist for billions of years, while we conscious humans exist only a few score years, and die just when we are beginning to figure out what the world is all about. The philosopher should have distracted his mind from this harshness of reality by purchasing the latest wireless internet devices or by taking drugs. Jim Muth jamth(a)mindspring.com START PARAMETER FILE======================================= A_Paradox_of_Time { ; time=0:00:45.54-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=FinDivBrot-2 function=recip float=y center-mag=-1.758490804171659/+0.00016810265582086\ /1.5e+011/1/85.5/0 params=3/25/0/0 periodicity=6 maxiter=750 inside=0 logmap=98 mathtolerance=0.05/1 colors=00000A10C20E20G31I42K53M64O75Q86S97UA8XD8cF\ 9hI9kLAoNAsQBwSBzVFvYJr_NnbQjdUfgYbjaZzcczyRzwNzuJ\ vsGzpSmmbcfQU_DKU1`c7znCulGqkJmiMihQefTaeWYc_UbbQ`\ eMZzIWzEUzFUtGUkHQcIJ_JHWKFTLOPMULN_HOeDOeAPdEQdHR\ dKScNTcRUcUVbXWb_XbbScYNcTIcODcJ8cFC`KGZPKXUNVZRcz\ VczZczacz_czZczYczWKcVK_UJXTITRIPQHMPHIUGEMFBZF7ZE\ 3JE0ZF7cFDcFJmFPmFVzG`zGfzGlzGrzGxzHszInzIizJezJ`z\ KWzKSzJQzIOzHMzGLzFJzEHzDFzCEzBCzAAz98z87z75z63z62\ zA6WD9VHCVKFUOJURMTVPTYSS`WSdZRgaRkdQnhQrkPunPxqK3\ jI7hHBgFFfEJdCNcBRb9V`8Z_6bZ5fYH`TTWOdRJpMEsQ9vT5y\ W1tX3oX5jY6eY8aY9`Z8_Z7Z_7Y_6X_5W`5V`zUazTazSazRbz\ QbzPbzNazL`zK`zI_zHZzFZzDYzCXzAXz9Wz7Vz6VzeXzXezOn\ zFvzAwz5xz1yz7vzDtzIrzOpzUnzZlzdmzjmzomzumzzmzpzzZ\ zzIzzmzzmzzmzzmzzmzzmzzmzzmzzzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzz } frm:FinDivBrot-2 { ; Jim Muth z=(0,0), c=pixel, a=-(real(p1)-2), esc=(real(p2)+16), b=imag(p1): z=(b)*(z*z*fn1(z^(a)+b))+c |z| < esc } END PARAMETER FILE=========================================

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Fractint - MFR133
by Albrecht Niekamp 05 Apr '11

05 Apr '11

Hi Jack, yes, we do. As a multifractal image it consists of several parts (separate fractal formulas). Zoom out and you´ll see. Sincerely, Albrecht

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Re: [Fractint] MFR133 The Mirror
by JackOfTradeZ＠comcast.net 05 Apr '11

05 Apr '11

. It's a cool image, but do we really need that humongous FRM file ?? How do people write these things....... .

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FOTD 05-04-11 (Extra Redundancy [7])
by Jim Muth 05 Apr '11

05 Apr '11

FOTD -- April 05, 2011 (Rating 7) Fractal visionaries and enthusiasts: The skewed minibrot in today's image lies in the Z^(2.1)+C Mandeloid as it appears PI levels up the complex logarithmic hyperladder when no function is applied. This parent Mandeloid closely resembles the minibrot at the center of today's image, though it is rotated so that the main period-2 bud lies on the north side of the main bay. This bud has small valleys on its east and west sides. Today's image lies in the western valley. The name "Extra Redundancy" is a play on words. Since the word 'redundant' implies an overabundance, the word 'extra' is itself redundant. Today's exponent of 2.1 is also redundant, since it is more than enough to draw the classic Mandelbrot set, which, at least IMO, is the world's best fractal. Today's image rates a 7. The rating of a 7 is getting to be all too routine, so I might recalibrate the rating scale so that a present rating of 7 would become a new rating of a 5. Then, a present 6 would equal a new 4, and so on. Today's image calculates in 5-1/2 minutes, somewhat slower than ideal, but still fast enough to prevent a big disappointment. Those who wish to view without calculating may do so by hopping down to the currently active FOTD web site at: <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> and viewing the finished image there. The original web site is still available at: <http://www.Nahee.com/FOTD/> My own FOTD web site is still in the building, checking and adjusting stage, but I have a feeling that I may post the web address in tomorrow's FOTD. Lots of clouds spoiled Monday here at Fractal Central, though the temperature reached a mild 63F 17C. The fractal cats spent several hours waiting for the sun to appear. Finally, when it did not, they made sympathetic faces and asked for extra treats. In the human department, the day was average busy, the web site made progress, and nothing unexpected turned up. If all goes well, tomorrow could be the same. The next FOTD fractal will probably be posted in 24 hours. Until then, take care, and I read in the morning paper that some scientists are seriously considering intentionally altering the earth's atmosphere in an attempt to slow 'man-made' global warming. If they actually try to do so, we will know who to blame for any subsequent disasters due to severe weather. (Lawyers start advertising now.) Jim Muth jamth(a)mindspring.com START PARAMETER FILE======================================= Extra_Redundancy { ; time=0:05:32.79-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=MandelbrotBC3 function=ident passes=1 center-mag=-0.35834972189/+0.92985649615/393902/1/\ 137.5/0 params=2.1/0/3.14159265358979/0 float=y maxiter=15000 inside=0 logmap=240 periodicity=6 colors=000KkZLlYMnXNoW`_XnKXlIVkGTjERiCPhANg9LcDM_\ HMWLMSPMPSMOULOWKOYKO_JNaINcINeHNgGNiGMkFMmEMoEMqD\ MrDSlGYfIbaKhWMmROsLQxGS0vr5unAukEuhJteOtaStZXsWas\ TesQfqUfoXfm_fkbfiffgifelfcohfijhcljZnlTooNqqIssCu\ uAvwKwwUxxcyymzuwxrrvmmthhrccpZZmUZlPZlK`jHbiFdhJf\ fOheTjdXlbanafp`jrZotYtvXxxWurVsmUpgTnbSkXRiSQfMPd\ HOaBN_6NY1QX4SW7VW9XVC_UFaUHdTKfTMiSPkRSnRUpQXsP_u\ PaxOdzOfwMgtLhrJioIjLBcNBhQBmSBrVCnXDjZEf`EbbFZdGV\ fHRhHNbGKXGIRFFLFDFEA9E83E64H84JA5LC5ND6PF6RH7TJ7V\ K8XM8ZO9`Q9bRCcUFcXHdZKdaMdcPefRehUfkWfmZfp`grcgue\ gwddvdavcZvcXvcUvbRvbOvbMvaJvaGvaEv_HvYKvWNvUQvUTv\ UVvUYvM`vUcvcfvchvckvcnvcqvctvcvvmtwmrxmqymozmmzml\ zrjzzizzfzzdzzbzz`zzZzzXzzYzzZzm_zmazmczmezmgzmizm\ kzmmzmozmqzmszmuzmwzmwzmwzmwzmwzmwzmwzmwzmwzmwzmwz\ mwzzwzzwzzwzzwzzwzzwzzwzzwzzwzzwzzwzzwzzwzzwzzwzzw\ zzwzzwzzwzzwzzwzzwzzwzzwz } 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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FOTD 04-04-11 (Briefly Beautiful [6])
by Jim Muth 04 Apr '11

04 Apr '11

FOTD -- April 04, 2011 (Rating 6) Fractal visionaries and enthusiasts: Today's image rates only a 6, and the major part of that rating was earned when I rendered the scene with the outside set to 'tdis'. The parent fractal is a grossly oversized thing with a 'fan' and lots of filaments terminating in rings, the features that are typical of fractals created by double negative powers of Z. Today's image lies inside one of these terminal rings. I named the image "Briefly Beautiful" because at one time I found a color palette that would have raised its rating to an 8. But when I struck the wrong key, I lost the palette. Rather frustrated, I substituted today's lackluster 'tdis' palette. The calculation time of 2-1/2 minutes is brief enough that little effort will have been wasted if the image turns out disappointing. And as always, the finished image may be found on the current FOTD web site 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/> My own web site is coming. No, it is not just a fantasy; it really is under construction. The delay is due to unexpected problems that keep arising. Sunday began pleasant enough here at Fractal Central, but things went downhill as the day progressed, and by afternoon heavy clouds filled the sky. Luckily, the rain held off until after dark. The fractal cats approved of the temperature of 54F 12C, though they would have enjoyed a bit more sun. I passed the day getting caught up in a pile of loose ends, while FL pondered this year's garden. The next FOTD will be posted in time to be thoroughly enjoyed. Until whenever, take care, and could the so-called obesity epidemic be a sign that our technology is turning on its creators like a Frankenstein monster? Jim Muth jamth(a)mindspring.com START PARAMETER FILE======================================= Briefly_Beautiful { ; time=0:02:31.88-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=MandAutoCritInZ function=recip passes=1 center-mag=+198.7100824673263/+516.0210595923169/\ 1.568941e+007/1/-82.5/0 params=-1.1/-4.2/-4.4/-1.2\ /0/0/0/0 float=y maxiter=1500 inside=0 outside=tdis periodicity=0 colors=000zkVzkTzkRzkPzjOzjMWjKYjIZiGziEbiCdiAzi9z\ j8zk7zl7zmzzn5znzzo4zpzzq3zrzzs1zszzr3zrzzr5zqzzq8\ zqzzpAzpBzpDzoEzoFzoGznIznJznKzmLzmNzmOzlPzlQzlSzk\ THkUGkVHlSHlQHmOImMInJInHJoFJoDJoCJoBKnELmHLlKMkNN\ jPNiSOhVOgYPf_QebQdeRchSdkRcjQbjQbiPaiP`iO`hN_hNZh\ MZgMYgLYgKXfKWfJWeJVeIUeHUdHTdGSdGScFRcDPdFRcHScJT\ cLUbNWbPXbRYaTZaV_aWa`Yb`_c`ad_ce_eg_ghZiiZkjZlkZh\ i_eh_af`Ze`VcaSbaQXgPaaOfWOkRNpLNuGPtJRsMTrPVrSXqV\ YpY_o`aoccnfemigllhlnfjldhkcfjadi_bhZ`gXZfVXeUVdST\ cQSbPQaNO`LM_KKZIIYGGXFEWDCVBAU98VA9TB9RBAPCANCALD\ BJDBHEBFFCDFCBGC9GD7HD5IC1HD3HE4HF6HG7HH9HIAGJBGKD\ GLEGMGGNHHMHGOIFPIEQIDSICTJBUJAVJ9XJ8YJ7ZK6`K5aK4b\ KKTf4cK5aL6_M6ZM7XN8WN8UO9SPARPAPQBOQBMRCLRDJSDHTE\ GTFEUFDUGBVE9XGAVHBUICTJDSKERLFQMGPNHOOINPJMQKKRLJ\ SMITNHUOGLKPKLPKNQJPRJRSJSTIUUIWVHYWHZWG`XGbYGdZFe\ _Fg`EiaEkbCmdElbGl`IlZKlX } 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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fractint_multifractal
by Albrecht Niekamp 04 Apr '11

04 Apr '11

Hi, T H A N K you Hal for your support. Hopefully I got it. I haven´t plaid with Fractint since 6 or 7 years, doing other things. For example my own kind of fractal music, "never" ending self similar rhythms and melodies created using the RGB values of fractal images. If anyone is interested I´ll try to place an example here, problem is the 50KB limitation. If there is some interest from other fractalists I´ll submit some more of my favorite or maybe new multifractal images in the near future. "The Mirror" IS one of my favorites. I´ve tested it using the bootable DOS of another machine, the image generates 10 min faster, although the CPU is slower, but I prefer to use the DOS shell, because I can switch between Windows and DOS vv. I use a Nvidia Geforce GTX460, which has full Vesa support, the latest NV driver had to be installed. I skipped the input section of my formula, dont expect somebody to create own images with it. Correct me if I´m wrong. MFR133 {; The Mirror ; Albrecht Niekamp 3.4.11 ; Time 1.15.38 AMD Athlon X4 620 ; XP Dos Shell 1600/1200 reset=2004 type=formula formulafile=mfr133.par formulaname=multifractal_9 function=sin/sin/exp/sin passes=t center-mag=+0.80171336679346910/-0.00196806836550609/72\ 3857.6/1/-59.9999999999812559/1.45008234586629925e-010 params=-0.05825983458967864/0.3785210730307932/21222.32\ 595705021/15423.0506030602/51024.02048000094/384.044969\ 0484/384.0242000145/256.1007683001/512.1007683001/768.1\ 007683001 float=y maxiter=3072 inside=maxiter outside=tdis logmap=4 periodicity=0 rseed=-2436 colors=200012<24>0bo0cq0es<3>0kz<25>09C08A068<2>0220002\ 11<21>icNkeOmfP<3>unTwpVxqWzsX<25>CB7A96875<3>000400<23\ >o00q00s00<3>z00<25>C00A00800<3>000<21>bbbdddfffgggiiij\ jj<3>qqqsssqqq<24>BBB999777555444222000 } FRM:multifractal_9 { ; Albrecht Niekamp 050903 ; da=real(p2) dd=trunc(da) da=round((da-dd)*100000000000)+11111 dd=dd+11111 d=trunc(dd/10000) dd=dd-d*10000 d3=(d==4)+(d==5)+(d==8)+(d==9) d4=(d3==0) vb=d>5 ab=(d==3)+(d==5)+(d==7)+(d==9) d=trunc(dd/1000) dd=dd-d*1000 ex1=d>1 v1m=(d==6)+(d==7) v1j=d>7 dd1=(d==4)+(d==5)+v1j ab1=(d==3)+(d==5)+(d==7)+(d==9) d=trunc(dd/100) dd=dd-d*100 ex2=d>1 v2m=(d==6)+(d==7) v2j=d>7 dd2=(d==4)+(d==5)+v2j ab2=(d==3)+(d==5)+(d==7)+(d==9) d=trunc(dd/10) ex3=d>1 v3m=(d==6)+(d==7) v3j=d>7 dd3=(d==4)+(d==5)+v3j ab3=(d==3)+(d==5)+(d==7)+(d==9) d=dd-d*10 ex4=d>1 v4m=(d==6)+(d==7) v4j=d>7 dd4=(d==4)+(d==5)+v4j ab4=(d==3)+(d==5)+(d==7)+(d==9) ; mm=trunc(da/1000000000) da=da-mm*1000000000 ph=trunc(da/10000000)/100 da=da-ph*1000000000 sp=trunc(da/100000)/100 da=da-sp*10000000 d=trunc(da/10000) ex0=d>4 da=da-d*10000 d=d-5*ex0 ir0=(d==3)+(d==4) d=trunc(da/1000) w1=d>4 da=da-d*1000 d=d-5*w1 rs1=(d==2)+(d==4) ir1=(d==3)+(d==4) d=trunc(da/100) w2=d>4 da=da-d*100 d=d-5*w2 rs2=(d==2)+(d==4) ir2=(d==3)+(d==4) d=trunc(da/10) w3=d>4 da=da-d*10 d=d-5*w3 rs3=(d==2)+(d==4) ir3=(d==3)+(d==4) d=round(da) w4=d>4 d=d-5*w4 rs4=(d==2)+(d==4) tt=ex0+ex1+ex2+ex3+ex4 ; d=real(p3) dd=trunc(d) da=(d-dd)*10000000000 pp=trunc(dd/10000) ba1=dd-10000*pp ba2=trunc(da/100000) ba3=da-100000*ba2 ; d=imag(p3) sfac=trunc(d) da=(d-sfac)*10000000000 ba4=trunc(da/100000) ba5=da-ba4*100000 ; d=real(p4) ofac=trunc(d) da=(d-ofac)*10000000000 bh=trunc(da/100000)/10 bl=(da-bh*1000000)/10 bs=bl/2 ; d=imag(p2) t=d<0 if (t) d=-d endif dd=trunc(d) da=round((d-dd)*10000000000) d=trunc(dd/10000) dd=dd-d*10000 bb0=ba1*(d==1)+ba2*(d==2)+ba3*(d==3)+ba4*(d==4)+ba5*(d==5) d=trunc(dd/1000) dd=dd-d*1000 bb1=ba1*(d==1)+ba2*(d==2)+ba3*(d==3)+ba4*(d==4)+ba5*(d==5) d=trunc(dd/100) dd=dd-d*100 bb2=ba1*(d==1)+ba2*(d==2)+ba3*(d==3)+ba4*(d==4)+ba5*(d==5) d=trunc(dd/10) dd=dd-d*10 bb3=ba1*(d==1)+ba2*(d==2)+ba3*(d==3)+ba4*(d==4)+ba5*(d==5) d=round(dd) bb4=ba1*(d==1)+ba2*(d==2)+ba3*(d==3)+ba4*(d==4)+ba5*(d==5) ; d=da p0=trunc(d/100000000)/10 d=d-p0*1000000000 p6=trunc(d/1000000)/10 d=d-p6*10000000 if (t) p6=-p6 endif p7=trunc(d/10000)/10 d=d-p7*100000 p8=trunc(d/100)/100 d=d-p8*10000 p9=d/100 ; d=imag(p4) mi1=trunc(d) da=(d-mi1)*100000000000 d=trunc(da/10000000000) bt1=d>6 da=da-d*10000000000 d=d-5*bt1 dt1=d>1 iv1=(d==3) fac1=trunc(da/100000) da=da-fac1*100000 bo1=(da/100000)/10 ; d=real(p5) mi2=trunc(d) da=(d-mi2)*100000000000 d=trunc(da/10000000000) bt2=d>6 da=da-d*10000000000 d=d-5*bt2 dt2=d>1 iv2=(d==3) fac2=trunc(da/100000) da=da-fac2*100000 bo2=(da/100000)/10 ; d=imag(p5) mi3=trunc(d) da=(d-mi3)*100000000000 d=trunc(da/10000000000) bt3=d>6 da=da-d*10000000000 d=d-5*bt3 dt3=d>1 iv3=(d==3) fac3=trunc(da/100000) da=da-fac3*100000 bo3=(da/100000)/10 ; mo=vb>ab mo1=v1m>ab1 mo2=v2m>ab2 mo3=v3m>ab3 mo4=v4m>ab4 ; sc=((ab+vb)==0) sc1=((ab1+v1m)==0) sc2=((ab2+v2m)==0) sc3=((ab3+v3m)==0) sc4=((ab4+v4m)==0) ; px=((ab+vb)==2) px1=((ab1+v1m)==2) px2=((ab2+v2m)==2) px3=((ab3+v3m)==2) px4=((ab4+v4m)==2) ; if (d4) z=0 if (vb) if (mo) c=0.4*log(sqr(pixel^mm)) else c=pixel z=pixel endif else c=pixel z=pixel*sc endif else c=p1 z=pixel endif t=0 bo=|z| p=pp z0=p7 zold=(0.0,0.0) cb=p9 ba=bb0 : if (tt) t=t+1 if (ex0) ex0=t<mi1 if (bo>bs) u=2*(fn1(t/sfac)) ex0=0 if (ir0) t=0 endif if (d4) z=z*u if (mo) c=0.4*log(sqr(pixel^mm)) else c=pixel endif else z=pixel cb=p9*u c=p1*u p=pp*u endif endif tt=tt-1+ex0 elseif ((ex1)&&bo>bl) if (bo<bh) d3=dd1 ba=bb1 ab=ab1 ex1=0 tt=tt-1 if (w1) u=2*(fn2(t/ofac)) else u=1,0 endif if (ir1) t=0 endif if (d3) vb=v1j if (rs1) z=pixel cb=p9*u c=p1*u p=pp*u else c=p1 z=z*u cb=p9 endif else vb=v1m if (rs1) c=z*u z=pixel*(sc1+px1) z0=p7*u ph=ph*u else c=z z=z*u endif if (mo1) c=0.4*log(sqr(pixel^mm)) endif endif endif elseif (ex2) if (dt1) if (iv1) d=bo>bo1 else d=bo<bo1 endif if (bt1) d=d+(t>mi1) endif else d=t>mi1 endif if (d) ab=ab2 d3=dd2 ba=bb2 ex2=0 tt=tt-1 if (w2) u=2*(fn2(t/fac1)) else u=1,0 endif if (ir2) t=0 endif if (d3) vb=v2j if (rs2) z=pixel cb=p9*u c=p1*u p=pp*u else cb=p9 c=p1 z=z*u endif else vb=v2m if (rs2) c=z*u z=pixel*(sc2+px2) z0=p7*u ph=ph*u else c=z z=z*u endif if (mo2) c=0.4*log(sqr(pixel^mm)) endif endif endif elseif (ex3) if (dt2) if (iv2) d=bo>bo2 else d=bo<bo2 endif if (bt2) d=d+(t>mi2) endif else d=t>mi2 endif if (d) ab=ab3 d3=dd3 ba=bb3 ex3=0 tt=tt-1 if (w3) u=2*(fn3(t/fac2)) else u=1,0 endif if (ir3) t=0 endif if (d3) vb=v3j if (rs3) z=pixel cb=p9*u c=p1*u p=pp*u else cb=p9 c=p1 z=z*u endif else vb=v3m if (rs3) c=z*u z=pixel*(sc3+px3) z0=p7*u ph=ph*u else c=z z=z*u endif vb=v3m if (mo3) c=0.4*log(sqr(pixel^mm)) endif endif endif elseif (ex4) if (dt3) if (iv3) d=bo>bo3 else d=bo<bo3 endif if (bt3) d=d+(t>mi3) endif else d=t>mi3 endif if (d) ab=ab4 d3=dd4 ba=bb4 ex4=0 tt=0 if (w4) u=2*(fn4(t/fac3)) else u=1,0 endif if (d3) vb=v4j if (rs4) z=pixel cb=p9*u c=p1*u p=pp*u else cb=p9 c=p1 z=z*u endif else vb=v4m if (rs4) c=z*u z=pixel*(sc4+px4) z0=p7*u ph=ph*u else c=z z=z*u endif if (mo4) c=0.4*log(sqr(pixel^mm)) endif endif endif endif endif if (vb) if (d3) if (ab) z=z*z+c ;Spiderjul John Horner c=c*sp+z else z1=z^p-1 ;Qusinewton Pusk s Istv n z2=p*z*z z=z-z1/z2 endif elseif (ab) z1=z*z+ph-0.5*zold ;Phoenix Mike Wareman zold=z z=z1 else z2=fn1(z)+c ;Many_mods Linda Allison z1=cos(z2) z=c*(1-z1)/(1+z1) endif elseif (d3) if (ab) z2=z*z ;Julia Pusk s Istv n z=z2*z2+p6*z2+c-p0 else z1=fn1(z)-cb ;Bees Ray Girvan z2=z1^p8-1 z3=p8*(z1^(p8-1)) z=z-(z2/z3) endif elseif (ab) z2=z*z ;Mandel Pusk s Istv n z=z2*z2+p6*z2+c-p0 else z3=z ;Secant Mike Wareman z1=z0*z0*z0*z0-1 z2=z*z*z*z-1 z=z-z2*(z-z0)/(z2-z1) z0=z3 endif bo=|z| bo<ba }

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<Albrecht> Thanks for the MFR020F valentine!
by Hal Lane 03 Apr '11

03 Apr '11

Albrecht, All, Thanks for the MFR020F par file. I'm pretty sure that my DOS Fractint calculated it correctly (it's a red heart). I'm glad that your Fractint email list serve problems appear to be over. You said: > saw that the par-file was corrupted again. ... > Maybe someone can tell me how to avoid this bug. My understanding is that many email systems don't like long lines in their text. The email system automatically divides long lines into two or more pieces and places them onto separate lines. Fractint has a feature that allows controlling the length of the lines written when writing out a fractal's parameter file. I don't know whether any other fractal software has this feature. To control the line length when writing out parameter files in Fractint: - while viewing an image, - type <b> - type <down-arrow> to highlight the "Maximum line length" setting. - I set this to 55 and this length doesn't seem to bother email systems. - set any other parameters as needed - type the <Enter> key to write out the file. This long line length problem is most bothersome when a very long web address is cut in half and only the first half is treated as a link by the email system. (What the email system thinks is a link is usually underlined and colored blue.) When a "half-an-address" is clicked on, the intended web page *fails* to load. In these situations one can manually copy and paste the 2nd half of the web address onto the end of the 1st half of the address in your browser's address bar (address text window) to get the page to load. By the way, I also had to correct the name of the formula in the *parameter* definition to make the case of the letters exactly match the case of the letters in the formula definition: Multifractal_ni versus: multifractal_ni to get the parameter and formula file accepted by DOS Fractint. - Hal Lane ######################### # hallane(a)earthlink.net # #########################

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FOTD 03-04-11 (Deceptively Simple [8])
by Jim Muth 03 Apr '11

03 Apr '11

FOTD -- April 03, 2011 (Rating 8) Fractal visionaries and enthusiasts: Today's image appears to show a minibrot near the surface of the Mandelbrot set, most likely the large minibrot on the west branch of the filament extending out from the large period-3 bud on the north side of the main bay. Well, in a way this is right, but appearances can be deceiving. The scene does show such a minibrot, however the filament it lies on does not extend from the main period-3 bud, it extends from the period-3 bud of a minibrot near the tip of the main spike of the M-set, at a depth of over 10^33, a depth that is not to be sneezed at. The thing that granted the image the honor of being declared FOTD is the smoothness of the color bands, almost giving the impression of a true-color image. (Such as those *other* fractal programs create.) A curious change may be achieved by resetting the bailout to the default 4. In fact, some may prefer the added detail achieved, though I prefer the pseudo-true-color smoothness. The name "Deceptively Simple" refers to the surprisingly large magnitude of the scene. The smoothly blended coloring earned the rating of an 8. If I had worked harder, I might have totally eliminated the color bands and raised the rating to an 8-1/2. The calculation time of 11-1/2 minutes is quite fast considering the arbitrary precision math and the magnitude. The finished image may be viewed on the active FOTD web site at: <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> Don't forget the original web site with all the past images at: <http://www.Nahee.com/FOTD/> My own web site needs only a brief written introduction to fractals before it will be ready to face the judgement of the fractal world. Saturday turned rather pleasant and sunny enough, though a bit chilly for the season. The fractal cats would have preferred things a bit warmer, but were happy enough with the temperature of 52F 11C. The day of the humans was busy, which is getting to be a routine condition here at FC. The next FOTD will be posted in 24 hours. Until then, take care, and never be a slave to common sense. Jim Muth jamth(a)mindspring.com START PARAMETER FILE======================================= Deceptively_Simple { ; time=0:11:29.09-SF5 on P4-2000 reset=2004 type=mandel center-mag=-1.9999999999999\ 999871592241601197050530338/4.6074197e-35/9.27e+35\ /1/37.5/0 params=0/0 float=y maxiter=5200 bailout=36 inside=0 logmap=-388 periodicity=6 colors=000c0za0z_1zY2yU3yT4xS5xR6wQ7wP8vO9uNAtMBsL\ CrKDqNDoRDlVDjZDg`De_Ge_HeZJeYIeXHePIcIHbBGa4F`7Gd\ 9KhBOlDToFXtH_xJazG_yEVzBQy9Ly7Hz4Ex49z02x12r13m24\ h25c26Z2BS2GL2KE2N72Q14S55W96ZE8`G9aKAcLKeSUhWcl_m\ mcppgspUsoGnt2ixKhqRgjYgcdfUkdLrbJm`HcZFUXDKVBAX86\ Y56Z26_06W28T39Q4AN5BJ7DG8ED9FAAGDBKGBNJBRMCUPCYSC\ `VDdYDg`DkcEnfEriEuhEuhEuhEuhEuhEuhSuhEuhEuhEuhMvh\ EvhEvhVvgDvgQvg_vgDvgMvgPvgUvgUwgUwgVwgWwgXwfXwfXw\ fXwfXwfXwfYxfYxfYxfYxfYxfYxfYxfYxeYxeZxe_xe`yeayeb\ yecyeeyegyeiyekyemydoydqydszduzdwzdyzdzzdzzdzzdzzd\ zzdzzdzzazzZzzWzzTzzQzzNzzOzzPzzQzzNzzLzzJzzGzzEzz\ CzzAzz7zz5zz3zz1zz2zz2zz2zz2zz3zz3zz3zz3zz4zz4zz4z\ z4zz5zz5zz5zz5zz6zz6zz6zz6zz7zz7zz7zz7zz8zz8zz8zz8\ zz9zz9zz9zz9zzAzzAzzAzzAzzBzzBzzBzzBzzCzzCzzCzzCzz\ DzzDzzDzzDzzDzzEzzEzzFzzFzzGzzGzzHzzHzzHzzIzzIzzJz\ zJzzKzzKzzKzzLzzLzzMzzMzz } END PARAMETER FILE=========================================

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Fractint - Love-san
by Albrecht Niekamp 03 Apr '11

03 Apr '11

Hi, saw that the par-file was corrupted again. In order to run press "delete" at the end of the line previous to the "\", so it is at the correct spot. Maybe someone can tell me how to avoid this bug. sincerely, Albrecht

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Fractint - Japan
by Albrecht Niekamp 02 Apr '11

02 Apr '11

Hi, all this is a second try to send this message mfr020f { ; Love-san ; Albrecht Niekamp Sep.05 ; Time 00.10.51.53 AMD3500+ 1600/1200 ; Fractint Version 2004 Patchlevel 2 reset=2004 type=formula formulafile=mfrn.frm formulaname=multifractal_ni ismand=y function=cosxx/conj/cosxx passes=t debugflag=322 center-mag=-1.52935713874380600/+0.22685868455183180/2558954/1/97.499999 \ 9950250924/6.25112616531309229e-009 params=-0.8940855128635518/0.8105868709372235/384/256.1133/4094.00016/76 \ 8.0003400000001/768.0076800000001/256.01024/18937.52/5 float=y maxiter=3072 inside=maxiter outside=tdis logmap=7 periodicity=0 rseed=-2436 colors=200444222000<25>0bo0cq0es<3>0kz<25>09C08A068<2>022000211<24>oiQqj \ RslS<3>zsX<25>CB7A96875<3>000400<23>o00q00s00<3>z00<25>C00A00800<3>000<2 \ 5>iiijjjlll<3>sss<25>BBB999777555 } FRM:Multifractal_ni { ; Albrecht Niekamp 24.3.03 ; d=real(p2) fac1=trunc(d) b1=(d-fac1)*100000 ; d=imag(p2) da=d<0 if (da) d=-d endif mi1=trunc(d) d=round((d-mi1)*10000) p6=trunc(d/100)/10 d=d-1000*p6 if (da) p6=-p6 endif p7=d/10 ; d=real(p3) ba=trunc(d) mm=round((d-ba)*100000) ; d=imag(p3) fac2=trunc(d) b2=(d-fac2)*100000 ; d=real(p4) mi2=trunc(d) fac3=round((d-mi2)*100000) ; d=imag(p4) b3=trunc(d) mi3=round((d-b3)*100000) ; da=real(p5) t=da<0 if (t) da=-da endif start=2-t dd=trunc(da) da=round((da-dd)*100) if (dd<5) start=0 vb=(dd==3)+(dd==4) else d=trunc(dd/10000) vb=(d==3)+(d==4) dd=dd-d*10000 d=trunc(dd/1000) or1=d>5 d=d-5*or1 vv1=(d==3) vv2=(d==4) dd1=(d==2)+(d==4) dd=dd-d*1000 d=trunc(dd/100) or2=d>5 d=d-5*or2 vv3=(d==3) vv4=(d==4) dd2=(d==2)+(d==4) dd=dd-d*100 d=trunc(dd/10) inr1=d>5 d=d-5*inr1 v1=(d==3) v2=(d==4) d1=(d==2)+(d==4) dd=dd-10*d d=trunc(dd) inr2=d>5 d=d-5*inr2 v3=(d==3) v4=(d==4) d2=(d==2)+(d==4) endif ; d=trunc(da/10) da=da-10*d ab=d>=5 d=d-5*ab bb1=(d==1) bb2=(d==2) dd=da>=5 da=da-5*dd ab=ab+dd ab1=(da==1) ab2=(da==2) ; d=imag(p5) dd=trunc(d) d=round((d-dd)*1000000) le=d>10000 da=trunc(dd/10) so1=((da==1)+(da==3)==0) so2=((da==2)+(da==3)==0) dd=dd-10*da wo=dd>=5 dd=dd-5*wo ir1=(dd==1)+(dd==3) ir2=(dd==2)+(dd==3) if (le) freq=round((trunc(d/10000))*10) ;frequency_lake effect by S.Gallet d=d-freq*1000 level=(trunc(d/100))/100 ;water level d=d-level*10000 ampl=d/100 ;amplitude of the wave u=real(rotskew*pi/180) t=exp(-flip(u)) bo=1/real(magxmag) q=bo/0.75*imag(magxmag) dd=tan(imag(rotskew*pi/180)) d3=2*q*t rs=2*bo*(dd+flip(1))*t z2=center+(-q-bo*dd-flip(bo))*t z=pixel-z2 d=imag(conj(d3)*z)/imag(conj(d3)*rs) if (d<=level) da=level-d z=z+2*da*(1+ampl*sin(freq*da^0.2))*rs endif z=z+z2 endif if (ismand) if (vb) c=0.4*log(sqr(pixel^mm)) z=z*le else c=z*le+pixel*(le==0) z=0 endif else c=p1 z=z*le+pixel*(le==0) endif t=0 d3=(ismand==0) u=d3 : if (vb) if (d3) z=(z*z-real(c))^(z*u+imag(c)) else z2=fn1(z)+c ;Linda Allison q=cos(z2) z=c*(1-q)/(1+q) endif elseif (ab) z=z*z+c+c*c-p7 ;Pusk s Istv n elseif (d3) z2=z*z z=z2*z2+(p6+u)*z2+c else z2=z*z ;Pusk s Istv n z=z2*z2+(p6+u)*z2+c-p1 endif bo=|z| If (wo) t=t+1 if ((t<mi1)+(bo>b1)) u=2*(fn1(t/fac1)) if (ismand) z=z*u if (vb) c=0.4*log(sqr(pixel^mm)) else c=z*le+pixel*(le==0) endif else z=z*le+pixel*(le==0) c=p1*u endif wo=0 if (ir1) t=0 endif endif elseif (start) t=t+1 if (start==2) if (bo>b2) u=2*(fn2(t/fac2)) rs=or1 ab=bb1 if (dd1) if (rs) z=pixel endif c=p1*u vb=vv2 d3=vb else d3=0 z=z*u c=z if (rs) z=0 endif vb=vv1 if (vb) if (so1) mm=mm+mm endif c=0.4*log(sqr(pixel^mm)) endif start=1 endif elseif (t>mi2) u=2*(fn2(t/fac2)) rs=inr1 ab=ab1 if (d1) if (rs) z=pixel endif c=p1*u vb=v2 d3=vb else d3=0 z=z*u c=z if (rs) z=0 endif vb=v1 if (vb) if (so1) mm=mm+mm endif c=0.4*log(sqr(pixel^mm)) endif endif start=1 if (ir2) t=0 endif endif elseif (bo>b3) u=2*(fn3(t/fac3)) ab=bb2 rs=or2 if (dd2) if (rs) z=pixel endif c=p1*u vb=vv4 d3=vb else d3=0 z=z*u c=z if (rs) z=0 endif vb=vv3 if (vb) if (so2) mm=mm+mm endif c=0.4*log(sqr(pixel^mm)) endif start=0 endif elseif (t>mi3) u=2*(fn3(t/fac3)) ab=ab2 rs=inr2 if (d2) if (rs) z=pixel endif c=p1*u vb=v4 d3=vb else d3=0 z=z*u c=z if (rs) z=0 endif vb=v3 if (vb) if (so2) mm=mm+mm endif c=0.4*log(sqr(pixel^mm)) endif endif start=0 endif endif bo<=ba } http://www.poincianacc.org/images/Japan_Prayer.jpg Sincerely, Albrecht

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fractint - blacklist
by Albrecht Niekamp 02 Apr '11

02 Apr '11

Received a message from mailman.xmission.com that I´m whitelisted again. This is a test. Albrecht

1 0

FOTD 02-04-11 (An Island Universe [7])
by Jim Muth 02 Apr '11

02 Apr '11

FOTD -- April 02, 2011 (Rating 7) Fractal visionaries and enthusiasts: The minibrots in some fractals are connected to the main body of the larger fractal in which they exist. The minibrots surround- ing the Mandelbrot set are all connected by thin filaments to the main body of the M-set in this manner. Other minibrots have no connection to the rest of their fractal, and exist as island universes, scattered around the fractal's main body like moons frozen in time. Today's FOTD image shows one of these disconnected minibrots. The parent fractal is a tiny Mandelbrot set surrounded by a cloud of minibrots, which in turn are surrounded by smaller clouds of minibrots, etc, etc., all the way down. The image shows a minibrot near a larger minibrot in one of these sub- clouds. Since the larger minibrot is itself disconnected, the pattern surrounding the minibrot in today's image consists of disconnec- ted patches, filled with still smaller clouds of minibrots, all of which are well beyond resolution. In my fractals, I usually try to avoid overly busy and brilliant colors, but in today's image the excessively gaudy color palette actually seems to improve the overall appearance. If I had had more time, I might have gotten a bit more action from the under- lying iteration bands, but even as the image is, it earns its place as FOTD for April 02. The name "An Island Universe" tells it like it is. The image is part of an island, and it has a universe within its depths. The rating of a 7 is becoming so common that the FOTD rating system is starting to become redundant. The calculation time of a fireball 18 seconds seems too good to be true, but take my word, the image calculates in just that time. Another way to see the image is to view it in finished form on the currently active FOTD web site at: <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> The venerable original FOTD web site is still available at: <http://www.Nahee.com/FOTD/> My own web site is almost ready. All I want to do is prepare a proper home page with a brief introduction to the world of fractals. I have also decided to include a gallery of several hundred images that I saved to disks in the years before I began the FOTD. These old images, which go back to the late 1980's, were created with various fractal programs. Most have no parameter information embedded. They are not up to current standards, but they are still interesting images, showing how I launched my fractal explorations. Friday here at Fractal Central began with wet snow that melted as it fell. By midday the snow had changed to rain, which slacked off to sprinkles in mid-afternoon and ended by sunset. The temperature reached a chilly high of 43F +6C, keeping the fractal cats within leaping distance of the heat. The rest of the day was filled with routine everyday stuff such as making money. The next FOTD will likely be posted in 24 hours. Until then, take care, and if you know what a lemac is, you're probably not a teen-ager. Jim Muth jamth(a)mindspring.com START PARAMETER FILE======================================= An_Island_Universe { ; time=0:00:18.56-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=MandAutoCritInZ function=ident float=y center-mag=-4.027874401682518/+0.4760310157376794/\ 2.0925e+11/1/117.5/0 params=3/0.75/0.8/-3.3/0/0/0/0 maxiter=1500 inside=0 logmap=67 mathtolerance=/1 colors=000UOUURcKSWSVMOdUrmmeVLSJEEC7zU6jM4QF3D71p\ 4kKxGFhCAU85F4aTXIkK44f33h22T1104zQz04aC3P82C41zz0\ gONTGFE87ec`SQOEDCJbQCQH6D8`_AII5CW68L44N2agCTXALO\ 8891abvPQbCDJWCXO9OG6G838Ad65K3kGiO8NpKIbFDQA9D543\ Hw18UqtK_aDIJ6455_AwyA`d6OK3Cf8qS5_E2I5jUPQiCDNeIR\ m2Qos8be6QS4DE2L6KY0`P0RH0I809SujIaV9JFv4dT2KEp_7Q\ IPWgCGMNeuBLTB`M7OE3C73iu2Yf1NT0BEnfMYSEHE7A_l7R_5\ IO29CnNbPBJOEiG9U84FUyNMiHFVB7F5fCJW9EOYcSccYhbXic\ WicWicVjcVjcUjcUjcTkcTkcSkcSlcRlcRlcQlcQmcPmcPmcOm\ cOncNncNncMocMocLocLocKpcKpcJpcJpcIqcIqcHqcHrcGrcG\ rcFrcFscEscUscUscUtcUtcUtcUucUucUuccuccvccvccvccub\ cvccvccvcmvcmvcmvcmvcmvcmwcmwcmwcmwcmwcmwcmwdmwdmx\ dmxdmxdmxdmxdzxdzxdzxdzxdzydzydzydzyezyezyezyezyez\ zezzezzezzezzezzezzezzezzezxdzzdzzdzzdzzdzzdzzczzc\ zzczzczzczzczzczzbzzbzzbzzbzzbzzbzzazzazzazzazzazz\ azzazz`zz`zz`zz`zz`zz`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, 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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<Albrecht>Is this the correct fractal?
by Hal Lane 01 Apr '11

01 Apr '11

Albrecht, all, You said: > hope YouÂ´ll like this image. I do. > Please advise, if You have any difficulties generating. > Probably will not run under Windows. If the image I calculated is the one you created, then, yes, I like it a lot. Is this (below) the correct fractal, Albrecht? I adjusted the .PAR info and calculated the image using DOS Fractint 20.04.4 under WinXP. Here's the adjusted version of your .PAR file that I used: http://www.emarketingiseasy.com/TESTS/FOTD/MFR149F.PAR I also applied Damiscena Korwin's Leather Gem color map. Her 1998 Fractal Art Contest entry Leather Gem is here: http://www.fractalartcontests.com/1998/entries/01-013.htm My anti-aliased 1200x900 pixel image is here: http://www.emarketingiseasy.com/TESTS/FOTD/MFR149G.jpg For the adventuresome who might be interested in the greater (unanti-aliased) detail in the image before it was downsampled, here's the 3MB 4096x3072 version: http://www.emarketingiseasy.com/TESTS/FOTD/MFR149F.gif Both Firefox & IE7 can show the large file OK on my WinXP system. Be sure to click the image once to see it at full size. (I like to use an image viewer that allows me to "drag" different areas of an oversize image onto the screen -- instead of having to find and "aim for" and exactly "hit" the scroll bars in my browser.) - Hal Lane ######################### # hallane(a)earthlink.net # #########################

2 1

FOTD 01-04-11 (Pentagon Parameters [7])
by Jim Muth 31 Mar '11

31 Mar '11

FOTD -- April 01, 2011 (Rating 7) Fractal visionaries and enthusiasts: The soon-to-appear FOTD web site is making great progress. With today's image, I will try to return to the usual every-day schedule of FOTD's. I make no promises however -- not in this world where the unexpected can always go wrong. Normally, not much can be done with quintic minibrots. They tend to all look the same. But when calculated with the FinDivBrot-2 formula, the quintics can really come to life. Today's scene shows one of these quintic minibrots doing a good deal more than would be expected from it. The parent fractal is a corrupt Mandelbrot set, well on the way to becoming an order-5 Mandeloid. Today's scene is located in a tiny spurious valley on the negative X-axis. The name "Pentagon Parameters" is little more than a play on words. The rating of a 7 might be a little excessive, but so what? Tomorrow, I might decide the image is worth only a 5. The image may be seen and appreciated by running the included parameter file. The running time of a mere 30 seconds will make the task a minor one. The image may be accessed without the need for calculation at the currently active web site at: <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> The original FOTD web site may still be accessed at: <http://www.Nahee.com/FOTD/> The address of my own web site will be announced in a matter of a day or two. Thursday proved to be very unpleasant here at Fractal Central. Heavy clouds filled the sky, while the temperature hovered around 39F +4C and a misty drizzle fell most all day. The forecast is for several inches of wet sloppy snow overnight and on Friday. The fractal cats were unconcerned with outside conditions, and spent the day wishing they could have the excite- ment the old fractal cats had when they spent their days back at Old FC, exploring the holly hollow at the bottom of the yard. (Actually, the two pairs of fractal cats never met.) The day of the humans on Thursday was once again busy, mostly with ironing out the pesky problems that keep arising on the new FOTD web site. The next FOTD will be posted in 24 hours, or maybe 48 hours if unexpected problems arise. Until next time, take care, and if two people dream they are observing the Statue of Liberty, is it the same statue image they are experiencing? Jim Muth jamth(a)mindspring.com START PARAMETER FILE======================================= PentagonParameters { ; time=0:00:30.26-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=FinDivBrot-2 function=recip maxiter=400 center-mag=-1.380477612401757/+0.0031445704992233/\ 5.8e+12/1/-4.25/0 params=5/500/0/0 float=y inside=0 logmap=82 periodicity=6 mathtolerance=0.05/1 colors=00089UAAUCCUEEUGGUIIULLUOOURRUUUUZYVcaPheKm\ iLrmOppRssUvvXzzzzzzzzzzzz00FztFupDqlCnh9kd6i_3jW5\ kT6kQ7iN8eJ9cGAaDB_ACYBIWBOUBUSB_QBeOUCHzzGuzFqzFn\ zEjmEfcDcUD_OCXHCTFBPDBMCAIAAF9EDGHCUKBcOAmR9zU8zc\ BzmDzmGz_IoaKpbNpcPpeRpfUphWqiYqk`qlbqmdqUOsA8uBBq\ CEnCHkDKgENdEQaFTZGWVGZSHaPHcMJgPLjSMnUOqXPtZKikGZ\ wJXuMWsPVqSUoVTmYSk`RicQgfOeiNclMaoL_rKYuJWxIUzHTt\ LSnOSiRScUSZXST_SObSIeSDhS7kS2nS5jU7fVAbXCZYEVZHR`\ JNaMJcOFdQCeNEcKGbII`FJ_CLZANX7PW5QV9RXDSZHT`LUbPV\ cTWeXXg`YidZjh_ll`npapsaqp`mm_jjZggYdzXazWZzVWzUSz\ TPzSMzRJzQGzmDzmAzm7zm7zm7zm7zm7zm7zm7zm7zm7zm8zm8\ zm8zm8zm8zm8zm8zm8zm8zm8zm8zm8zm8Gm8Gm8Gm8jmEimDhm\ DhmDgmDgmDfmDfmDemDemDdmCdmCcmC7zyuz5hzkgzjfzjezjd\ zjczjbzjgzmbzjZzhUzeQzcLz`HzZ5zI9zQDzXHzdLzkLzsOzr\ QzrSzrUzrWzrQznLzjGzfBzcmzynzvnztnzqnzoozmozjozhwz\ gtzfqzfozflzfFzADzBCzBBzC } frm:FinDivBrot-2 { ; Jim Muth z=(0,0), c=pixel, a=-(real(p1)-2), esc=(real(p2)+16), b=imag(p1): z=(b)*(z*z*fn1(z^(a)+b))+c |z| < esc } END PARAMETER FILE=========================================

1 0

Multifractal MFR149
by Albrecht Niekamp 31 Mar '11

31 Mar '11

Hi, hope You´ll like this image. I do. Please advise, if You have any difficulties generating. Probably will not run under Windows. MFR149 {; Time 0.12.13 (XP Dos-shell) reset=2004 type=formula formulafile=mfrn.frm formulaname=multifractal_5 ismand=y function=cos/exp/exp/sin passes=t center-mag=-0.302531/-0.00478368/0.842554/1.0685/180 params=-0.1156346324045534/-0.5338602862636189/19287.3210001/53000.13140 \ 81613/2048.02048/384.0000135/768.00056/128.0076800000001/768.00768000000 \ 01/1024.00768 float=y maxiter=2048 inside=maxiter outside=tdis logmap=4 periodicity=0 rseed=-2436 colors=000<2>110110000KA4<7>gcOjgRmjT<3>zzc<9>UOFRKDOGA<3>A00<9>f0Ci0Dl0 \ F<3>z0K<6>Z0EV0DR0C<3>A08004000<26>000<4>000<9>X0a_0dc0h<3>p0w<4>_0dX0aU \ 0Y<2>K0NH0JG0NE1R<3>7UX6`Z4h_2oa0wc<11>2TG2RE3OC<3>4D3<17>kkammcpoe<3>zw \ m<6>cYO`UKYQG<3>KA0000<43>000<4>000330<12>110 } FRM:Multifractal_5 { ; Albrecht Niekamp 230603 ;only integers as first input, second input 5 digits to the right ;real(p2) 5digits: shape, outside, in1, in2, in3 ; 0_off 1_mand 2_jul/bees 3_many_mods 4_newtjul +5_reset digit1: +5_warp ; input2 : 2digits_many_mods 5digits_frm2 use : 0_no 1_yes ;imag(p2)(-) 2-4digits : quasinewton input (max 2000) ; 1digit : many_mods multipl. off 1_out 2_in1 3_in2 4_all ; 1digit : iter-reset 1_out 2_in1 3_in2 4_all ; input2 : 4digits(-)_frm1 2digits_frm2 4digits_bees ;real(p3) many_mods bailout, bailout ;imag(p3) shape : factor (fn1), outside : border-in ;real(p4) outside : factor (fn2), border-out ;imag(p4) inside1 : maxiter1, factor1 (fn2) ;real(p5) inside2 : maxiter2, factor2 (fn3) ;imag(p5) inside3 : maxiter3, factor3 (fn4) ; da=real(p2) dd=trunc(da) da=round((da-dd)*10000000)+11111 d=trunc(dd/10000) ex0=d>5 d=d-5*ex0 vb=(d==3)+(d==4) dd=dd-d*10000 d=trunc(dd/1000) ex1=d>0 dd=dd-d*1000 rs1=d>5 d=d-5*rs1 v1m=(d==3) v1j=(d==4) dd1=(d==2)+(d==4) d=trunc(dd/100) ex2=d>0 dd=dd-d*100 rs2=d>5 d=d-5*rs2 v2m=(d==3) v2j=(d==4) dd2=(d==2)+(d==4) d=trunc(dd/10) ex3=d>0 dd=dd-d*10 rs3=d>5 d=d-5*rs3 v3m=(d==3) v3j=(d==4) dd3=(d==2)+(d==4) ex4=dd>0 rs4=dd>5 dd=dd-rs4*5 v4m=(dd==3) v4j=(dd==4) dd4=(dd==2)+(dd==4) tt=ex0+ex1+ex2+ex3+ex4 ; mm=trunc(da/100000) da=da-mm*100000 d=trunc(da/10000) ab=(d==2) da=da-d*10000 d=trunc(da/1000) ab1=(d==2) da=da-d*1000 d=trunc(da/100) ab2=(d==2) da=da-d*100 d=trunc(da/10) ab3=(d==2) da=da-d*10 ab4=(da==2) ; d=imag(p2) t=d<0 if (t) d=-d endif dd=trunc(d) d=round((d-dd)*10000000000) pp=trunc(dd/100)/10 dd=dd-1000*pp da=trunc(dd/10) so1=((da==1)+(da==4)==0) so2=((da==2)+(da==4)==0) so3=((da==3)+(da==4)==0) dd=dd-10*da ir1=(dd==1)+(dd==4) ir2=(dd==2)+(dd==4) ir3=(dd==3)+(dd==4) ; p0=trunc(d/100000000)/10 d=d-p0*1000000000 p6=trunc(d/1000000)/10 d=d-p6*10000000 if (t) p6=-p6 endif p7=trunc(d/10000)/10 d=d-p7*100000 p8=trunc(d/100)/100 d=d-p8*10000 p9=d/100 ; d=real(p3) mb=trunc(d) ba=(d-mb)*100000 ; d=imag(p3) sfac=trunc(d) b1=(d-sfac)*100000 b0=b1/2 ; d=real(p4) ofac=trunc(d) b2=(d-ofac)*100000 ; d=imag(p4) mi1=trunc(d) fac1=(d-mi1)*100000 ; d=real(p5) mi2=trunc(d) fac2=(d-mi2)*100000 ; d=imag(p5) mi3=trunc(d) fac3=(d-mi3)*100000 ; bg=((ab+vb)==0) bg1=((ab1+v1j)==0) bg2=((ab2+v2j)==0) bg3=((ab3+v3j)==0) bg4=((ab4+v4j)==0) ; if (ismand) z=0 if (vb) c=0.4*log(sqr(pixel^mm)) else c=pixel endif else if (bg) c=p9 else c=p1 endif z=pixel endif t=0 d3=(ismand==0) u=d3 bo=z p=pp : If (tt) t=t+1 if ((ex0) && bo>b0) u=2*(fn1(t/sfac)) if (ismand) z=z*u if (vb) c=0.4*log(sqr(pixel^mm)) ba=mb else c=pixel endif else z=pixel if (bg) c=p9*u else c=p1*u p=pp+u endif endif ex0=0 tt=tt-1 elseif ((ex1) && bo>b1 && bo<b2) u=2*(fn2(t/ofac)) rs=rs1 ab=ab1 if (dd1) if (rs) z=pixel endif vb=v1j d3=1 if (bg1) c=p9*u else c=p1*u p=pp+u endif else d3=0 z=z*u c=z if (rs) z=0 endif vb=v1m if (vb) if (so1) mm=mm+mm endif c=0.4*log(sqr(pixel^mm)) ba=mb endif endif if (ir1) t=0 endif ex1=0 tt=tt-1 elseif ((ex2) && t>mi1) u=2*(fn2(t/fac1)) rs=rs2 ab=ab2 if (dd2) if (rs) z=pixel endif vb=v2j if (bg2) c=p9*u else c=p1*u p=pp+u endif d3=1 else d3=0 z=z*u c=z if (rs) z=0 endif vb=v2m if (vb) if (so2) mm=mm+mm endif c=0.4*log(sqr(pixel^mm)) ba=mb endif endif if (ir2) t=0 endif ex2=0 tt=tt-1 elseif ((ex3) && t>mi2) u=2*(fn3(t/fac2)) ab=ab3 rs=rs3 if (dd3) if (rs) z=pixel endif vb=v3j if (bg3) c=p9*u else c=p1*u p=pp+u endif d3=1 else d3=0 z=z*u c=z if (rs) z=0 endif vb=v3m if (vb) if (so3) mm=mm+mm endif c=0.4*log(sqr(pixel^mm)) ba=mb endif endif if (ir3) t=0 endif ex3=0 tt=tt-1 elseif ((ex4) && t>mi3) u=2*(fn4(t/fac3)) ab=ab4 rs=rs4 if (dd4) if (rs) z=pixel endif vb=v4j if (bg4) c=p9*u else c=p1*u p=pp+u endif d3=1 else d3=0 z=z*u c=z if (rs) z=0 endif vb=v4m if (vb) if (so2) mm=mm+mm endif c=0.4*log(sqr(pixel^mm)) ba=mb endif endif ex4=0 tt=tt-1 endif endif if (vb) if (d3) n=z^p-1 d=p*z*z z=z-n/d else z2=fn1(z)+c ;Linda Allison q=cos(z2) z=c*(1-q)/(1+q) endif elseif (ab) z=z*z+c+c*c-p7 ;Puskas Istvan elseif (d3) z1=fn1(z)-c ;Ray Girvan z2=z1^p8-1 z3=p8*(z1^(p8-1)) z=z-(z2/z3) else z2=z*z ;Puskas Istvan z=z2*z2+(p6+u)*z2+c-p0 endif bo=|z| bo<=ba } Sincerely, Albrecht

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FOTD 31-03-11 (Little Lost Orphan [No Rating])
by Jim Muth 31 Mar '11

31 Mar '11

FOTD -- March 31, 2011 (No Rating) Fractal visionaries and enthusiasts: NOTICE! Do not try to recreate today's image from the included parameter file, which contains only the 3-D transform informa- tion. To view the image, you must go to the FOTD web site at: <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> where Hal has posted it. Today's image is named "Little Lost Orphan" because it has lost its parent fractal. It is an image from years ago, when I briefly experimented with making 3-D transforms of type=plasma images. Such transforms can make rather convincing landscapes, but for some reason I quickly grew bored with the icy images. A few rather impressive scenes showed up before I turned to the 4-D Julibrot stuff however. The type=plasma image to which the transform was originally applied was long ago discarded, but today's parameter file may be applied to any other type=plasma image (or any Fractint image at all) to create different landscapes, so feel free to create as many scenes as your adventurous heart desires. (The process is a bit convoluted, so I recommend reading the 3-D transform instructions.) I have no idea how today's image might compare with what might be possible using the 3-D transform feature on type=plasma images, so I could give the image no rating. The calculation time of 3-1/3 minutes is the time it took for the original transform to calculate on the old 80486-100mhz machine. On modern units, the image would finish in a matter of seconds. A bit of good news is that the start of my own FOTD web site has been uploaded and needs only a bit of link-tweaking before being made public. In view of all this excitement, do not forget the original web site at: <http://www.Nahee.com/FOTD/> Tuesday brought lots of sun and a temperature of 50F 10C to Fractal Central. Wednesday brought heavy clouds and similar temperatures. The fractal cats enjoyed the sun on Tuesday and complained about the lack of it on Wednesday. My day, as well as FL's day, was quite busy both Tuesday and Wednesday. Things that do not work right keep popping up on the web site. But the goal is in sight, so all that patience will soon be rewarded. The next FOTD will be posted in 48 hours or so. Until then, take care, and I have lots of answers but I've lost the questions. Jim Muth jamth(a)mindspring.com START PARAMETER FILE======================================= Little_Lost_Orphan { ; time= 0:03:20.36-SF5 on P4-2000 3d=yes scalexyz=125/100 roughness=125 waterline=45 filltype=6 lightsource=1/-1/1 smoothing=7 randomize=5 ambient=20 rotation=73/0/0 perspective=160 xyshift=0/0 colors=muz9IU9IU9IU9IU9IW9JW9JW9JW9JW9JW9JX9JX9KX9\ KX9KX9JX9JZ9JZ9JZ9JZ9LZ9LZ9L_9K_9K_9K_9K_9L_9La9La\ 9La9Ka9Ka9KaALcALcALcBLcBLcBLcDLcDLcDMcEMcEMcFMcFM\ cFMcFMcGMcGOcGOcHOcHOcHOcJOcJOcJOcJPcJPcKPcKPcKPcK\ PcKPcLPcLRcLRcLRcLRcMRcMRcMRcMRcMTcMTcOTcOTcOTcOTc\ OTcQTcQUcQUcQUcQUcRUcRUcRUcRUcRVcTVcTVcTVcTVcTVcUV\ cUXcUXcUXcUXcVXcVXcVXcVXcVYcXYcXYcXYcXYcXYcYYcYYcY\ _cY_cY_cY_c__c__c__c__c_ac`ac`ac`ac`ac`acbacbacbbc\ bbcbbcdbcdbcdbcdbcdbcedcedcedcedcedcfdcfdckgckgckg\ cmecmecm`ccjychyeeyjhyeeyjhyefyjiyegyegyclycbycglh\ glcglhglcglhglallfglaglfglaglfglaglfdledledledledl\ eblebleblebldbldbldbldbldbldaldaldacbacbacbacbacba\ lbalb_lb_l`_l`_l`_b`_l`_l`_l`_l`Yc_Yc_Yc_Yc_Yc_Yc_\ Yc_Yc_YcYYcYXcYXcYXcYXcYXcYXcYXcXXcXXcXVcXVcXVcXVc\ XVcXVcVVcVVcVVcVUcVUcVUcVUcVUcUUcUUcUUcUUcUTcUTcUT\ cUTcTTcTTcTTcTTcTTcTRcTRc } END PARAMETER FILE=========================================

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FOTD 29-03-11 (FOTD Failure [*7])
by Jim Muth 29 Mar '11

29 Mar '11

FOTD -- March 29, 2011 (Rating *7) Fractal visionaries and enthusiasts: Today's image is a failure. Long ago in 1997 it failed to measure up to the then current FOTD standards, so I filed it away and forgot it. But now, 14 years later, I have re-visited the old stuff and decided it is worth a second chance. The image was created with the Mystic2 formula, a formula that produces only empty circles of radius 1. But the blank inside of these circles comes to life when rendered with an active inside fill, such as the 'bof60' I used in today's scene. The name "FOTD Failure" points out the failure of the image to make the grade on its first attempt. The rating of a 7 with an asterisk indicates that I now consider the old failure worth a 7. Actually, the image is rather incredible. It appears to have no organization or overall theme at all. A zoom into any part will reveal detail unlike that of any other part, making it one of the most varied images in FOTD history. The calculation time of 49 seconds is true on the 2000mhz unit. On the old 100mhz machine the image took almost 20 minutes to finish. Of course, all calculation problems may be avoided by viewing the finished product on the currently active FOTD web site at: <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> Paul's original FOTD web site may be accessed at: <http://www.Nahee.com/FOTD/> My own FOTD web site is very near readiness. Watch for the address to be posted in an upcoming FOTD. The weather on Sunday and Monday here at Fractal Central was sunny but chilly, with afternoon temperatures in the 30's F, around +2C. The fractal cats checked the outside a few times to be sure no unwanted stray cats were around, but spent most of the time taking it easy. The next FOTD will be posted whenever I get the chance -- probably on the 31st. Until then, take care, and I'm still waiting for the final theory of (almost) everything to be announced. Jim Muth jamth(a)mindspring.com START PARAMETER FILE======================================= FOTD_Failure { ; time=0:00:49.00-SF5 on P4-2000 reset=1950 type=formula formulafile=jim.frm formulaname=Mystic2 function=cos passes=1 center-mag=-0.7639004447870409/-0.641592723009405/\ 305.51/1/50/0 params=1/1/1/1/1/1 float=y maxiter=90 inside=bof60 logmap=yes periodicity=0 colors=000MgFKdCI_9GX6EU3CR2AP1AM1AK1AI1AG1AE1AD1A\ C1AB1AB1AB1AB1AB1AB1AB1AB1AB1AB1AC1AD1AE1BF3CH5EJ7\ GL8KMAMNCOODQQFSSHUVJXXK_ZMb_Oe`PhbRkcTneVpfWrhYti\ _ujavh`ue_q__lUZiPZkMUlPQnSLpUHpX2pYDqYOrYZsYcrYhp\ XflWeiVcfUbcT``S_YRYVQXSPVPOUMNSJLRGLPDKOCLNCMNCNN\ COMCPMCQMCRLCSLCTLCUKCVKCWKCXJBYJBZJB_IB`IBaIBbHBc\ HBdHBeGBfGBgGBhFBiF9lDBjFCiGEhHFgIHfKIeLKdMLcNMbOO\ aQP`RR_SSZTUXVVWWXVXYUYZTZ`S`aRacQbdPcfOegNfiMgjLh\ kKilJhmIgmHfnHeoGdoFcpFbqEaqD`rC_sCZsBYtAXuAWu9Vv8\ Uw6Wv8Uv9TvARvBQvCPvDNuEMuFLuGJuHIuJHuKFuLEtMDtNBt\ OAtP9tQ7tR6xR2tS5qT7nT9kUBhUDeVFbWI_WKXXMUXORYQOYS\ LZVI_XF_ZC``9`b6ad3af6be8beAceCceEddGddIedKedMfdOf\ cQgcSgcUgcWhcYhb_ibaibcjbejbgkaikaklamlaolalkajkah\ kafkadkaaka_kaYkaWjaUjaRjaPjaNjaLjaJjaHjaKh_MgYPfX\ ReVTcUWbSYaQ_`PbZNdYMfXKiWIkUHmTFpSErRCsS7tQBilAfl\ BckBakCZkCWjDUjERiEOiFOlI } 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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FOTD 27-03-11 (Golden Oldies [*6])
by Jim Muth 27 Mar '11

27 Mar '11

FOTD -- March 27, 2011 (*6) Fractal visionaries and enthusiasts: I realize that three days have passed since the I posted the last FOTD, but we have been quite busy on regular work and the upcoming FOTD web site here at FC these past few days. Today's image is a blast from the past, from around the time of the start of the FOTD in fact, though it never quite made FOTD status. The image is one of those indescribable things created by the MandNewt formulas -- formula number 12 to be exact. It is typical of the easy (by today's standards) stuff I was doing at that time, when my machine was a 100mhz 80486. The name "Golden Oldies" looks back with nostalgia on those days of yore. But since the image is not a new one, I had to add an asterisk to its rating of a 6. The calculation time of 1-1/2 minutes on the 2000mhz unit would have been closer to 1/2 hour on the original machine. The easiest way to view the finished image is to hop down to the current FOTD web site at: <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> and view it, finished, there. The old original FOTD site is available at: <http://www.Nahee.com/FOTD/> My own web site is nearing readiness, but not quite ready. I'll post the address as soon as I feel it is ready. Saturday was sunny but unusually cold here at Fractal Central. The temperature rose from 19F -7C at daybreak to an afternoon high of a meager 37F +3C. The fractal cats chose the sun. The next FOTD will be posted as soon as I get a chance. Until then, take care, and did anyone lose their mind? I saw one lurking under the porch stairs this morning. Jim Muth jamth(a)mindspring.com START PARAMETER FILE======================================= Golden_Oldies { ; time=0:01:32.06-SF5 on P4-2000 reset=1950 type=formula formulafile=basic.frm formulaname=MandNewt12 float=y maxiter=430 passes=1 center-mag=3.44291/0/0.216444/1/90/0 params=3/2/5/0.5/-0.5/-1 bailout=100 inside=bof60 logmap=8 periodicity=0 colors=000jjj```kkklllmmmnnnoooqqqtttwwwzzzrrrmmmh\ hhcccZZZVWTTURQROOPMMNKKLIHJGFHEDECBCA8A8686464242\ 663984DA4GC5KE6NG6QH7UJ8XL8`N9cPAgRAjTBmUBlVCkWDjW\ DiXEhXEgYFfYFeZGdZGc_Hb_Ha`I``I_aJZaJYbKXbKWcLVcLU\ dMTdMYaLbZLgWLlTKqQKvNKzLKwKMtKOrKPoKRlJSjJUgJWdJX\ bIZ_I_YIaVIcSIdQHfNHgKHiIHkFGlCGnAGo7Gq5Gr6Jq6Mp6P\ o6Sn6Vm6Yl6`k6cj6fi6ih6lg6of6qeGn_QkU_hOieJecLbaN_\ _OWYQTWRQUTMSVJQWGOYCMZ9K`6Ia7Kb7Lb7Mc7Nc7Pc7Qd7Rd\ 7Se7Ue7Ve7Wf7Xf7Yg7_g7`g8ah8bh8dh8ei8fi8gj8hj8jj8k\ k8lk8ml8ol8pl8qm8rm8smAjkCbjDUhFMgHDeI5dM4bQ4`T3ZX\ 3X`3Vc2Tg2Rj2Qi4Sh6Tg8UfAWeBXdDYcFZbH`aIa`Kb_MdZOe\ YPfXRgWTiVVjUWkTYmS_nRaoQbpPdrOfsNhtNiuMhtLgsLfrKe\ qJdpJcoIbnHamH`lG_kFZjFYiEXhDWgDVgCUfBTeBSdARc9Qb9\ Pa8O`7N_7MZ6LY5KX5JW4IV3HU3HU5GV7FV9FWBEWDEWFDXHDX\ JCXKCYMBYOBYQAZSAZU9ZW9_Y8_Z8_aC`dG`gKajOalRboVbrZ\ cubcwecvfbvgbvhaviavj`vk` } frm:MandNewt12 {; 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-1)*(z-b) j=c*z^d+g z=z-e*h/(f*j), .0000000000000000000000000000005 <= |h| } END PARAMETER FILE=========================================

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FOTD 24-03-11 (Where in the World [No Rating])
by Jim Muth 24 Mar '11

24 Mar '11

FOTD -- March 24, 2011 (No Rating) Fractal visionaries and enthusiasts: Do not be alarmed when you run today's parameter file and the screen stays blank for a couple minutes. Due to the passes=t and the lack of detail at the edge of the frame, the image is a slow one to get started, but things pick up once the calcula- tion reaches the actual central crescent. Today's FOTD is an image of the entire Mandelbrot set. Well, the entire set is in there somewhere, but it has been so distorted by the 'invert' feature of Fractint that it has been reduced to a horse shoe crescent. The center of the scene lies somewhere in the Seahorse Valley area of the large minibrot on the main stem of the M-set, though one would never guess it from what appears on the screen. The name "Where in the World" refers to the difficulty of deter- mining exactly where in the M-set today's scene is located. Since I believe this is the first time I have used Fractint's 'invert' feature in an FOTD, I have almost no idea of what is possible with this option, so I could give today's image no rating. The rather slow calculation time of 11 minutes is mostly due to the very large maxiter of 2,500,000. This slowness may be avoided however by viewing the finished image on the FOTD web site at: <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> The old original FOTD web site may be accessed at: <http://www.Nahee.com/FOTD/> Wednesday began with slushy snow here at Fractal Central. By midday the snow changed to rain, which made the slush even slushier. To end the day with a grand finale, a thunder-shower passed over at 6pm. The temperature held steady around 34F +1C most of the day. The fractal cats took a few glances at the unpleasant outside conditions, but spent most of the time close to the heat. In the human department, our day was busy, yet under control. I'll try to post the next FOTD in 48 hours, but since the future is unpredictable, there are no promises. Until whenever, take care, and take a moment to wonder why there is a vast universe instead of simply nothing. Jim Muth jamth(a)mindspring.com START PARAMETER FILE======================================= Where_in_the_World { ; time=0:11:03.50-SF5 on P4-2000 reset=2004 type=mandel passes=t float=y center-mag=-16.8104/0.928124/0.06579086/1/87.5/0 params=0/0 maxiter=2500000 inside=0 outside=real invert=0.0001/-1.7685/0.0008 periodicity=0 colors=000VITUKUSNVRPWPSXOUYNXZLZ`KaaIcbHfcFhdEkeD\ mfFndHncInaKn`Mn_NnYPnXRnWSnUUnTWnRXnQZnP`nNanMcnL\ enJfnIhnGjnFknEmnConBpnAheH`YOTPULH`D8g50m82fA3`C5\ VE6PG9OHBNIDMKGLLIKMKJNNIPPHQRGRUFSWEUYDV`CWbBYdAZ\ g9_i8`k7bn6cp5dr4et4fr6gq8gpAhoChnEimGilIjkKjjMkhO\ kgQlfSleUmdWmcYnb_naao`co_enbameYlgTkjPjlLioHhrDgt\ 9fw5ey1hw8jvEluKntQprWrqatpgvomsmjqkhoifmgdkfbid`g\ bZe`WcZUaYS_WQYUOWSMURKWQJXPIYOIZOH_NHaMGbLFcLFdKE\ eJEgIDhICiHCjGBkGBmKAnO9pR8qV7sZ6ta5pb4mb4jb4gc4dc\ 4ac4Zd3Wd3Td3Qe3Ne3Ke3He3Kf7MgBOhFQiJTjNVkRXlVZmZa\ nbcofepjgqnfrlfsketjeuidvhdwgbkja_m`Op_Cr`Fs`Is`Ls\ `OtaRtaUtaXta_uabubeubhvbkvbnvbqvdntekrghqheojcnk`\ lmYjnVipSgqQfVyGXtHZpI_kJagKbbLdZMeVNgQOiMPjHQlDRm\ 8So4Tp0To4Tn7TmBTlETkITjLTiPTiSThVTgZTfaTeeTdhTclT\ boTbrTprJosKosLnsMnsMntNmtOmtOltPluQluQkuRkuShUeeN\ 9gWEhdJjmO6ayCdtIgoOjjUme } END PARAMETER FILE=========================================

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FOTD 22-03-11 (Square Root of Nothing [6])
by Jim Muth 22 Mar '11

22 Mar '11

FOTD -- March 22, 2011 (Rating 6) Fractal visionaries and enthusiasts: Today's FOTD is late. This usually means things are unusually busy here at FC, as is true at the present time. The name of today's image, Square root of Nothing", refers to the power of Z that created the parent fractal. This parent fractal resembles a Mandelbrot set with a triangular main bud on the northwest side of the main bay and a zigzag filament extending out from the bud, and terminating some distance to the northwest. A cut-off nest of filament fragments lies some distance to the east of the main fractal. Today's scene is located in this cut-off nest of filaments. Due to a shortage of time, I was unable to find the best color- ing for the image, but the colors I did find are sufficient to show the nature of the scene and allow a rating of a 6. The calculation time of 3 minutes should cause no one undue dis- tress. To make matters even better, the pre-calculated image may be viewed at the FOTD web site at: <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> The original web site may be accessed at: <http://www.Nahee.com/FOTD/> Settled and near normal conditions prevailed here at FC on Sunday, with partly cloudy skies and a temperature of 50F 10C. Monday brought similar temperatures, but was spoiled by morning rain and afternoon clouds. The fractal cats took it all in stride. The next FOTD is scheduled in about 32 hours. Who knows if it will actually be ready in time? Jim Muth jamth(a)mindspring.com START PARAMETER FILE======================================= SquareRootOfNothin { ; time=0:03:05.16-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=MandelbrotBC3 function=ident center-mag=+1.294065337556993/+0.8218935124636804/\ 7.008061e+008/1/70/0 params=1.4142/0/2/0 float=y maxiter=2400 inside=0 logmap=198 periodicity=6 colors=000pcgmcckc_icWg`Se`Ob`K``KZ`KX`KV`JU_IT_HV\ _AS_FPZJMYNJXRHVVEUZBTb8Sf6Rj8Vk9YkA`kCckDgkEjkGmk\ HpkIskGrjEriDrhBrg9rf8re6rd5rd6df6Sg6Eh61iGFkPTmZf\ ogtqfomejideecaacXZbSVaOR`JN_EJ_AGd8Jh7Ml5Pp4St3Vp\ 2Mm1Dj04nADrKLvUTyc`v`XsYUpVRmSNjQKgNHdKDaHAaE7kC4\ nP6q`7tdGwhOzlXzpdzslzvrzzzuxzvwqwulusjsqiqoirmism\ hslhtlhtkgukgujgujgpgdleahbZd`W`YTXWQTTNPRKUXQZaVc\ f_hkempjruowztoqjhhaa_SVRJOI9H90BJ56T91aD8YIFUNLQS\ SMXZIadEeTlWVmVWmUXmTYmTZmS_mR`mQamQbmPcmOdmObjNag\ N_dNZaMXZMWWMUUMTRLROLQLLOIKNFKLCKKAKM9IO8HQ7FS7EU\ 6DW5BY4A_49Y9DXEHWJLVOPUTTTYXSb`RgdTfeVffXfgYfh_fi\ afjbfkdflffmgfnifokfplfp9OIDEAH43M62Q82UA2ZC2bE2fG\ 2gN6hUAi`EjfIkmMltQmzU2_GEUSQOc`IoaNkbRgcVdcZ`dbYe\ fUejQfnNgrJgvGjpKlkNofQqaTsXWmmUmmSmmQmmOmmMmmKmmI\ mmGgrEfrCerBgrGhrKirPjrTkrYmzanzfozjpzoqzsmzjmzamz\ RmzGmz5mzoszsyzwvzstzorzk } 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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FOTD 20-03-11 (It's All Circles [6])
by Jim Muth 20 Mar '11

20 Mar '11

FOTD -- March 20, 2011 (Rating 6) Fractal visionaries and enthusiasts: The scale of minibrots lying very deep in the Mandelbrot set is incredible enough, even awesome. At the scale of today's image the entire M-set would be as large as the entire galaxy, if not many times larger. It well might be as large as the entire visible universe, which is about 27,000,000,000 light years in circumference. It is large enough that the chance of today's scene having ever appeared on any screen is effectively zero. But with all this awesome size behind the image, why does it rate only a 6? The answer lies in the name of the image -- "It's All Circles". Just as the very high order Mandeloids tend to develop a boring similarity, these super-deep minibrots tend to grow boringly similar. As today's image shows, they tend to consist of layer upon layer of concentric circles, with minor changes in the circular decorations, but with an overall similarity that is striking at first glance but soon grows boring. (Not all mini- brots at this depth are boring circles however. There are exceptions, some of which I might post as future FOTD's.) Still, the fact that today's circular image lies at a depth of 2*(10^34) makes the effort of running the parameter file worthwhile. The image is located in the basin of a larger minibrot in the basin of a still larger minibrot in the basin of an even larger minibrot on a filament extending inland from the northeast shore line of the large minibrot on the main stem of the Mandelbrot set. The calculation time of 19-2/3 minutes is surprisingly fast for such a deep scene. And even this reasonable time may be saved by viewing the finished image on the FOTD web site at: <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> The original FOTD web site is still available at: <http://www.Nahee.com/FOTD/> Friday here at Fractal central was summer-like, with lots of sun and a temperature of 77F 25C. The new fractal cats, who have a much less adventurous life than the old fractal cats had, spent Friday watching for stray cats and worrying about their next meal. Saturday dawned cloudy, but the clouds cleared away by midday, leading to a pleasant afternoon with a high of 50F 10C. The next FOTD will be posted in 48 hours, more or less. Until whenever, take care, and be with it, fractal pro. Jim Muth jamth(a)mindspring.com START PARAMETER FILE======================================= It's_All_Circles { ; time=0:19:42.06-SF5 on P4-2000 reset=2004 type=mandel passes=1 center-mag=-1.740745628752070677391923435253000819\ 49/0.011627426705656461304987086921212283982/1.967\ 708e+034/1/170/0 params=0/0 float=y maxiter=15000 bailout=25 inside=0 periodicity=6 colors=000fTdiPflLinIlqEosBqoEmlGjhIfeLcaN_ZPXVRUS\ UQOWNLYJH`GEbCAd97f6FhBNiGVjKbkPjlTrmYznaxiaveauaa\ sYaqTapPanLalHakDalH`lK_mOZmRYnVXnYWoaVodUogTpiRpj\ QplOqmNqoLqpKrrIrsHrtGnpFjlEfiEbeDZaCVZCRVBNRAJOAF\ K9BG88D8AFCCGFEHIGILIJOJKRLLUNMXPO`RPcSQfURiWSlYTo\ _Ur`VucZrebpgfnijlknjcZWWKHO53N9DMDMMHOLLQLPWKTbKX\ iJ`hMamPcfUc`ZcVcbPhbJkbDjaCi`Bh_BgZAfYAeX9cW9aU8_\ S7UQ7QM6MI6KF5FA5A54000000O2ZqNopJkpFgpCcp8_p5WmCa\ jJfgQkdXpabuZcrWcpUcnRdkOdiMdgJdeGebEe`BeZ9eX8fU8f\ S8fP8fN7gL7gI7gG7gEGjCPlBYo9fq8ot6xv5wr6vo6uk6th6s\ d6ra6qZ6pV7oS7nO7mL7lH7kE7kB7nKFqTMtaUwj`zsgxtcwt_\ vtWutSttOrtKqtGptCzt8zt5zl2ze0zg3Zh5Wi8UkARlCOmFMo\ HJpKGqMErOReIcTDaRH_PLZNPXMTVKXUI`SHcRFgPDkNCoMAsK\ 8wJ7zM6wP6tS5qU5nX5k_4ha4fd4cg3`j3Yl3Vo2Sr2Pt2Np1Q\ l1Sh1Vd1Xa3Z_5_Y6`W8aTAcRBdPDeNFfLGgIIiGKjELkCNlAO\ m9Th8Yb7aY6fS5kM4pH3uB3y6 } END PARAMETER FILE=========================================

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FOTD 20-03-11 (It's All Circles [6])
by Jim Muth 20 Mar '11

20 Mar '11

FOTD -- March 20, 2011 (Rating 6) Fractal visionaries and enthusiasts: The scale of minibrots lying very deep in the Mandelbrot set is incredible enough, even awesome. At the scale of today's image the entire M-set would be as large as the entire galaxy, if not many times larger. It well might be as large as the entire visible universe, which is about 27,000,000,000 light years in circumference. It is large enough that the chance of today's scene having ever appeared on any screen is effectively zero. But with all this awesome size behind the image, why does it rate only a 6? The answer lies in the name of the image -- "It's All Circles". Just as the very high order Mandeloids tend to develop a boring similarity, these super-deep minibrots tend to grow boringly similar. As today's image shows, they tend to consist of layer upon layer of concentric circles, with minor changes in the circular decorations, but with an overall similarity that is striking at first glance but soon grows boring. (Not all mini- brots at this depth are boring circles however. There are exceptions, some of which I might post as future FOTD's.) Still, the fact that today's circular image lies at a depth of 2*(10^34) makes the effort of running the parameter file worthwhile. The image is located in the basin of a larger minibrot in the basin of a still larger minibrot in the basin of an even larger minibrot on a filament extending inland from the northeast shore line of the large minibrot on the main stem of the Mandelbrot set. The calculation time of 19-2/3 minutes is surprisingly fast for such a deep scene. And even this reasonable time may be saved by viewing the finished image on the FOTD web site at: <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> The original FOTD web site is still available at: <http://www.Nahee.com/FOTD/> Friday here at Fractal central was summer-like, with lots of sun and a temperature of 77F 25C. The new fractal cats, who have a much less adventurous life than the old fractal cats had, spent Friday watching for stray cats and worrying about their next meal. Saturday dawned cloudy, but the clouds cleared away by midday, leading to a pleasant afternoon with a high of 50F 10C. The next FOTD will be posted in 48 hours, more or less. Until whenever, take care, and be with it, fractal pro. Jim Muth jamth(a)mindspring.com START PARAMETER FILE======================================= It's_All_Circles { ; time=0:19:42.06-SF5 on P4-2000 reset=2004 type=mandel passes=1 center-mag=-1.740745628752070677391923435253000819\ 49/0.011627426705656461304987086921212283982/1.967\ 708e+034/1/170/0 params=0/0 float=y maxiter=15000 bailout=25 inside=0 periodicity=6 colors=000fTdiPflLinIlqEosBqoEmlGjhIfeLcaN_ZPXVRUS\ UQOWNLYJH`GEbCAd97f6FhBNiGVjKbkPjlTrmYznaxiaveauaa\ sYaqTapPanLalHakDalH`lK_mOZmRYnVXnYWoaVodUogTpiRpj\ QplOqmNqoLqpKrrIrsHrtGnpFjlEfiEbeDZaCVZCRVBNRAJOAF\ K9BG88D8AFCCGFEHIGILIJOJKRLLUNMXPO`RPcSQfURiWSlYTo\ _Ur`VucZrebpgfnijlknjcZWWKHO53N9DMDMMHOLLQLPWKTbKX\ iJ`hMamPcfUc`ZcVcbPhbJkbDjaCi`Bh_BgZAfYAeX9cW9aU8_\ S7UQ7QM6MI6KF5FA5A54000000O2ZqNopJkpFgpCcp8_p5WmCa\ jJfgQkdXpabuZcrWcpUcnRdkOdiMdgJdeGebEe`BeZ9eX8fU8f\ S8fP8fN7gL7gI7gG7gEGjCPlBYo9fq8ot6xv5wr6vo6uk6th6s\ d6ra6qZ6pV7oS7nO7mL7lH7kE7kB7nKFqTMtaUwj`zsgxtcwt_\ vtWutSttOrtKqtGptCzt8zt5zl2ze0zg3Zh5Wi8UkARlCOmFMo\ HJpKGqMErOReIcTDaRH_PLZNPXMTVKXUI`SHcRFgPDkNCoMAsK\ 8wJ7zM6wP6tS5qU5nX5k_4ha4fd4cg3`j3Yl3Vo2Sr2Pt2Np1Q\ l1Sh1Vd1Xa3Z_5_Y6`W8aTAcRBdPDeNFfLGgIIiGKjELkCNlAO\ m9Th8Yb7aY6fS5kM4pH3uB3y6 } END PARAMETER FILE=========================================

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FOTD 18-03-11 (Chunky Peanut Butter [6])
by Jim Muth 18 Mar '11

18 Mar '11

FOTD -- March 18, 2011 (Rating 6) Fractal visionaries and enthusiasts: Today's image takes us on a quick trip rather deep into the west side of Scepter Valley of the Mandelbrot set, which is the valley at -1.25 on the X-axis. In this area we find the tiny things I call 'peanut holes'. These holes appear to be far more plentiful than minibrots, though with an infinity of both, this is not mathematically true. Anyone who has ever enjoyed a bag of fresh roasted peanuts in the shell knows that most peanuts have two 'nuts' in a shell, but some freaky ones have only one nut in a shell, while others have three and rarely four nuts in a single shell. The peanuts in today's image are the 'three-in-a-shell' kind, and they surround the minibrot, growing ever smaller and more numerous the closer to the minibrot we look. Actually, these peanuts are not really trapped points at all, since they fill-in when the maxiter is raised. When rendered in the normal manner, today's image falls kind of flat, so to add some life, I calculated the image with the outside set to 'real'. The result turned out to be too busy and disorganized for a rating higher than a 6, but with a calcula- tion time of only 1-2/3 minutes, not much effort will have been wasted if the result proves disappointing. The name "Chunky Peanut Butter" seemed appropriate when I noticed the number of tiny peanut holes filling the screen. The task of calculation may be avoided by viewing the finished image on the FOTD web site at: <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> The original web site may be accessed at: <http://www.Nahee.com/FOTD/> Pleasant conditions prevailed here at Fractal Central on Thurs- day as the sun shone brilliantly and the temperature reached 61F 16C. The sun is now climbing high enough during the midday hours that it misses the back edge of the fractal cats' window shelf, so they spent the afternoon on the front part of their shelf, watching for stray cats to wander by. With the spring jobs coming in, my day was rather busy, but I still found time to find a fractal. The next FOTD will be posted in two days, more or less. Until then, take care, and be wary of e-mails that want you to stand in as the heir to an abandoned sum of 26-million U.S. dollars. Jim Muth jamth(a)mindspring.com START PARAMETER FILE======================================= ChunkyPeanutButter { ; time=0:01:46.73-SF5 on P4-2000 reset=2004 type=mandel passes=1 float=y center-mag=-1.250000626757216/+0.0003126618705661/\ 1.95e+011/1/11/0 params=0/0 maxiter=150000 bailout=16 inside=0 outside=real periodicity=6 colors=000U91T81S80R80P70P70S70R60P60P50N50M50K40K\ 40I40L30L30K30J20I20I20C10B10C00B10B20B20130B40B40\ B50L60L60L70L80L80L90LA0LA0LC1LE1KF2KH3KK3KL4KN4KP\ 5KQ5KQ6KQ6KO7KO7KO8KN8KO9KP9KOAKPAJPBJPCJPCJQDJQDJ\ REJSEJSFJTFJUGJUGJVHJWHJWIJXIJYJJYJJZKI_LI_LI`MIaM\ IaNIbNIcOIcOIdPIePIeQIfQIgRIgRIhSIiSIiTHjUHkUHkVHl\ VHmWHmWHoXRqXRsYRuY`vZ`wZjx_jx_ty`ty`tzatzatt`ts`j\ s`jr_jr_jq_jqZ`pZ`pZ`oY`oY`nYKnXKmXKlXLlWLkWLkWLjV\ LjVMiVMiUMhUMhUMgTNgTNfTNeTNeSNdSOdSOcROcRObRObQPa\ QPaQP`PP`PP_PQZOQZOQYOQYNQXNRXNRWMRWMRVMRVLSULSULS\ TLSSKSSKTRKTRJTQJTQJTPIUPIUOIUOHUNHUNHVMGVLGVLGVKF\ VKFWJFWJEWIEWIEWHDXHDXGDXGCXFCXECYECYDBYDBYCBYCAZB\ AZBAZA9ZA9Z99_98_88_78_77_67`67`56`56`46`45a35a35a\ 24a24a14`02a13a14a24b25b26b36tU7tU8tU8tU9tUAtUAtUB\ tUCtUCtUDzUEzUEzUFzUFzUGz9Ht9HtAItAJtAJtD5tD5tC5tC\ 4tC4tB4tB3tA3tA2tA2t92t91 } END PARAMETER FILE=========================================

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FOTD 16-03-11 (Back to the Past [5.5])
by Jim Muth 16 Mar '11

16 Mar '11

FOTD -- March 16, 2011 (Rating 5.5) Fractal visionaries and enthusiasts: My web site is progressing, but I had no idea how much progress was needed. Accurate time forecasts are futile, so all I can say is that the time is not too far off, and the wait will be worth the impatience. Today's image is another return to the world of 12 years ago. I brought up the Mandnewt07 formula and set it loose to find today's image. I have no idea what this series of formulas was originally intended to do, but they certainly do make some interesting images, as today's rather disorganized image demonstrates. With more time I might have done a better coloring job. As it is, I could rate the finished product no higher than a 5-1/2, which is just a tiny bit above average. The name "Back to the Past" refers to the age of the generating formula. The calculation time of 1-3/4 minutes means little effort will be needed to run the parameter file. The image may also be seen on the FOTD web site at: <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> The original web site may be accessed at: <http://www.Nahee.com/FOTD/> My own web site will soon be coming at: <address to be revealed> Tuesday here at Fractal Central featured morning sun, afternoon clouds, and light rain in the evening. The fractal cats kept themselves busy chasing each other up and down the hallway. My day was about average. The next FOTD, likely an improved one, is scheduled to be posted in 48 hours. If nothing goes wrong, it might appear on time. Until whenever, take care, and I hear the duck has lost his job. Jim Muth jamth(a)mindspring.com START PARAMETER FILE======================================= Back_to_the_Past { ; time=0:01:44.20-SF5 on P4-2000 reset=2004 type=formula formulafile=mandnewt.frm formulaname=MandNewt07 passes=1 periodicity=0 center-mag=-6.78166/-12.3172/0.07303401/1/-92.5/0 params=2/3/3/1/1/-1 float=y maxiter=255 inside=atan colors=00005W15Q35K45E65D75D95CA5CC5CD5DF5DG5EI5EJ\ 5FLAFMFGOHGPJHRLISNIUPJVRJXTKYUK_VL`WLbXMcYMeZNf_O\ h_Pi`QkaRlaSnbTobUpcVpdWpdXpeYpfZpf_qg`qhaqhbqicqj\ dqjeqkfrlgrlhrmirnjrnkrolspmspnsqosrpsrqssrststttt\ uutvutvutwutxuuxuuyuuzuuzuuzuuzuuzutzttxstvrstqssp\ sqoronrmmrklqjkqhjqfiqdhpbgpafp_eoYdoWcoVbnTanR`nP\ _nNZmMYmKXmIWlGVlEUlDTkBSk9Rk7Qk6Pj7Oi7Ni7Mh8Lg8Lg\ 8Lf9Le9Le9LdALcAKcAKbBKaBKaBK`BK_CK_CKZCKYDKYDKXDJ\ WEJWEJVEJUFJPFJKGJFHHAIF8ID6JB4J92K70L50L41L43L45K\ 46K48K49K4BJ4DJ4EJ4GJ4HJ4JI4LI4MI4OI4QH4RH4TH4UH4W\ H4YG4ZG4`G4aG4cF4eF4fF4hF4oH0iF4dE8_DCVCFPBJKANF9R\ 86V97UA8UB8TB9TC9TDASDASEBSFBRFCRGCRHDQHEQIEQJFPJF\ PKGOLGOMHOMHNNINOINOJMPJMQKMQLLRLLSMLSMKTNKUNKUOJV\ OJWPIXPIXQIYRHZRHZSH_SG`TG`TGaUFbUFbVFcUFdTFcRFbPF\ aNF`LFZJFWHHUCJQ6LM7NL8PK9PJAPJBPKCPaWJZUIWTHSSGPR\ FLPEIODFNCBMB8KA4J91I80H7 } frm:MandNewt07 {; Jim Muth z=c=(pixel*p1): a=z^3+(c-p2)*z-c b=3*z^2+c-1 z=z-p3*a/b 0.000000000000000000000000000001 <= |a| } END PARAMETER FILE=========================================

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FOTD 14-03-11 (Shadow Dance [6])
by Jim Muth 13 Mar '11

13 Mar '11

FOTD -- March 14, 2011 (Rating 6) Fractal visionaries and enthusiasts: Things have been very wet here at Fractal Central these past few days, wet enough in fact to flood the FC basement 10cm deep. But by Sunday the water had subsided, and things were getting back to normal. In the fractal department, I have returned to an old formula for today's image -- the Mystic2 formula, which is at least 12 years old. When the inside is set to a flat color, this formula draws nothing but empty circles, but when an active coloring such as the 'bof61 is applied to the inside, strange things begin happen- ing. Today's image shows some of these strange things. The image consists entirely of inside stuff made visible by the 'bof61' inside fill. It is very sensitive to changes in the inside fill, the function and the p3 parameter. The p1 and p2 parameters have a far lesser effect. The name "Shadow Dance" sounds kind of Native Americanish, but it has little to do with the appearance of the image. Due to the lack of organized colors, I could rate it no higher than a 6. The finished image soon will be available on the current FOTD web site at: <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> The original FOTD web site may be found at: <http://www.Nahee.com/FOTD/> My own FOTD web site will soon be up and running, though due to problems dealing with the flooded basement, it has made no progress since the last report. Sunday brought clouds and a temperature of 43F +6C to Fractal Central. The fractal cats took it all in stride. They were more interested in being fed. My day was spent recuperating from the flooded basement and watching far greater disasters on TV. The next FOTD will be posted in a couple days. Until then, take care, and no matter how bad things seem, they are never so bad that they could not get worse. Jim Muth jamth(a)mindspring.com START PARAMETER FILE======================================= Shadow_Dance { ; time=0:01:31.62-SF5 on P4-2000 reset=2004 type=formula formulafile=jim.frm formulaname=Mystic2 function=cotan passes=1 center-mag=0/0/31 params=1/-3/3/4/3/5.899 float=y maxiter=255 inside=bof61 periodicity=6 colors=000TETTFRTHPTIMTJKTLIoMGTNETOCPQFzZ0jALHSJG\ eHFQGDOECNDBMB9LA8J87I7zH54G43E21D10C00H01C3C003DB\ ztF5Fm6EO7Fm8FW9G`AGdBHhCHlEIeGIZIJSKJLLJEOICRHAUG\ 8XF6_E4bD2dD0cE4bE7aEB`FE`FH_FLZGOYGSYGVXHYWHaVHdV\ HgYEb_BYa8Uc5Pe2Kg0GX9IMIKBRM1_O4ZM7YK9XICWGEVEHUC\ JTAMS8OR6RQ4TP2WO0YN0`M0bM0aL2`K9_JGZIOYHVXGaXFhPD\ THBD9A0II5RPB_XIgcOddMbeL`fKYgIWhHUiGSjFLaOFUW9Mc3\ EkBFZJGMRH9ZI0QT0Ic0`RKEhUJYSNNQRCPV1NZ0MY0OX1PW6R\ WASVFUUKVTPWTTYSYZRb`QgaQkbSgaTcaV`aWXaXUaZQa_Na`J\ abGacCad9a`6YX3VU1SQ0OM0LJ0ILIKNfMGcWA`eAacAaaAb_A\ bZAcXAcVAcUD_SGWRISPLOOOKNQGLTCKV9JXAHYBFZBD_CB`D9\ aD8bE6cF4dF2eG0fG0UN0HT05Z08W0AU0DR1FP1IM2KK3MI3PF\ 4RD5UA6W86Z57`38b18U49M79E995C90F90H90G80G80F70F73\ E66E69E6BD5ED5HC4KC4MC4LC4JC3HC3GD2ED1CD1BD09D07D0\ 6E04E02E01E00E00E00D01D22D43D74DA5DC6DF7DH8DK9DNAD\ PBDSCDUBBQB9MA7IA5F94B927 } 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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Astroid Out
by Mike Frazier 10 Mar '11

10 Mar '11

Here is a link to a web page with an image: http://www.fracton.org/fmlposts/astroid_out.html The formula for this fractal is called True_Astroid and is based on the original Astroid_Mset by Paul Carlson. The original draws an "inside out" astroid curve while this one draws it in true form. The orbit trap formula is modified to use the polar form instead of the parametric form. The changes to the formula were suggested by Gerald Dobiasovsky. The parameter file used to make this image is below: Astroid_Out { ; Exported from Fracton. reset=2004 type=formula formulafile=fracton.frm formulaname=True_Astroid passes=1 float=y center-mag=-1.265578607178311/0.1218562499999997/2\ 22.222225/1/0/0 params=0.01/0.59/8/30/0/0/0/0/0/0 maxiter=500 inside=255 outside=summ colors=000fOz<28>I0Kz0f<28>O08z88<28>O00zW0<28>c40\ zz0<28>aG00zR<28>0C40zz<28>0CCGGz<28>00O000<12>000\ z88 } frm:True_Astroid { ; Based on ; Astroid_Mset copyright (c) Paul W. Carlson, 1997 ; Modified for compatibility with Fractint 20.04 and ; Fracton by Mike Frazier, 2011 ; Additional improvements by Gerald Dobiasovsky ;**************************************************** ; Always use floating point math and outside=summ. ; ; Parameters: ; real(p1) = a factor controlling the width of the curves ; imag(p1) = radius of the astroid ; real(p2) = number of color ranges ; imag(p2) = number of colors in each color range ; ; Note that the equation variable is w, not z. ; Initialize cindex to the index of the background color ; Formula modified to avoid color index 0 which can not ; be used with outside=summ in FractInt v20.04 ;**************************************************** w=0, c=pixel, z=0, cindex=254,; Background color 254 bailout=0, iter=0, range_num=0, i=(0,1), r=imag(p1), ;**************************************************** ; In the accompanying par file, ; we have 8 color ranges with 30 colors in each range ; for a total of 240 colors. The first range starts at ; color 1. Pixels will use color 254 when |w| > 1000. ; Other values can be used here as long as the product ; of num_ranges times colors_in_range is less than 255. ; Color 254 is reserved for the background color and ; color 255 can be used for the inside color. ;**************************************************** num_ranges=real(p2), colors_in_range=imag(p2), ;**************************************************** ; Real(p1) controls the width of the curves. ; These values will usually be in the range 0.001 to 0.1 ;**************************************************** width=real(p1), index_factor=(colors_in_range-1)/width: ;**************************************************** ; The equation being iterated. Almost any equation ; that can be expressed in terms of a complex variable ; and a complex constant will work with this method. ; This example uses the standard Mandelbrot set equation. ;**************************************************** w=w*w+c, ;**************************************************** ; The orbit trap curve. This example uses an "astroid" ; curve (which has absolutely nothing to do with huge ; rocks in outer space). Any two-dimensional curve can ; be used which can be expressed in parametric form in ; terms of the angle from the origin. ;**************************************************** ; ang is really tan(ang) here ang=imag(w)/real(w), astroid=r*sqrt((ang^2+1)/(|ang|^(1/3)+1)^3), ;**************************************************** ; If the orbit point is within some distance of the curve, ; set z to the index into the colormap and set the bailout ; flag. ;**************************************************** distance=abs(|w|-|astroid|), if(distance<width&&iter>1), cindex=index_factor*distance+range_num*colors_in_range+1, bailout=1, endif, ;**************************************************** ; Cycle through the range numbers (0 thru num_ranges - 1) ; With two color ranges, even iterations use color ; range 0, odd iterations use color range 1. ;**************************************************** range_num=range_num+1, if(range_num==num_ranges), range_num=0, endif, ;**************************************************** ; Since we are using outside=summ, we have to subtract ; the number of iterations from z. ;**************************************************** iter=iter+1, z=cindex-iter, ;**************************************************** ; Finally, we test for bailout ;**************************************************** bailout==0&&|w|<1000 } -- Mike Frazier www.fracton.org

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FOTD 10-03-11 (Forevermore Fractal [7])
by Jim Muth 10 Mar '11

10 Mar '11

FOTD -- March 10, 2011 (Rating 7) Fractal visionaries and enthusiasts: The FOTD web site is just about ready to upload. (Annoying little problems keep popping up and delaying things.) My original plans were to start with the earliest FOTD's and keep going until I got caught up to date. But a little math shows that it would be over a year before I reached the point where I would start posting the new FOTD images as I find them. So I will slow down on the old stuff and begin posting the new stuff the same day as I find it. That way, the old stuff will not be advancing toward an ever receding finish line. The last images to be posted to the web site will be those of February 2011. Then it will be back to an all-new FOTD most every day. Today's image lies in the same parent fractal that held the image of March 08. But instead of lying inside the fan, it lies on the bay side of the valley separating the fan from a large bay just to its south. The name "Forevermore Fractal" implies that fractals go on forever, which most of them do. The rating of a 7 indicates that I consider the image to be worth at least a quick glance. That glance may be enjoyed by running the attached parameter file or by visiting the current FOTD web site at: <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> The old original web site is posted at: <http://www.Nahee.com/FOTD/> but it is far from being up to date. The clouds increased here at Fractal Central on Wednesday as the forecasted torrential rain approached. The fractal cats enjoyed a day by the heat since the outside temperature never rose above 39F +4C. The forecast calls for major flooding by Friday, so we will see how it goes. The forerunner light rain arrived at 6pm, mixed with a few half-melted flakes of snow. Meanwhile, both FL and I had a very busy day, both with commercial work and getting the web site up and running. The next FOTD will be posted in a couple days. Until then, take care, and let's hear it for technology. Jim Muth jamth(a)mindspring.com START PARAMETER FILE======================================= ForevermoreFractal { ; time=0:0X:XX.XX-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=MandAutoCritInZ function=recip passes=1 center-mag=+0.6626183470281375/-2.030395519434738/\ 3.192119e+008/1/-155/0 params=-4/-1.3/-0.8/-5.3/0/\ 0/0/0 float=y maxiter=3500 inside=0 logmap=605 periodicity=6 colors=000YOKXOKXPKWPJWQJVQJVQJURITRITSISSISSHRTHR\ THQUHQUGPUGPVGOVGOWFOVGOUGOTGOTGOSGORGOQGOQGOPGOOG\ OOGONGOMGOLGOLGOKGOJHOJHOIHOHHOGHOGHOFHOEHOEHODHOC\ HOBHOBHOAHO9HL6IM7HN8HN8HO9HO9HPAHQBHQBHRCGRCGSDGT\ EGTEGUFGUFGVGGWHFWHFXIFXIFYJFZKFZKF_LF_LE`MEaNEaNE\ bOEbOEcPEeQFdPEcPEbODbODaOD`NC`NC_MCZMBZMBYLBXLAXL\ AWKAVK9VJ9UJ9TJ8TI8SI7RI7RH7QH6PG6PG6OG5NF5NF5MF4L\ E4LE4KD3JD3JD3IC2HC2HC2ID3JD4KE5KE6LE7MF8NF9NG9OGA\ PGBPHCQHDRIESIFSIFTJGUJHUKIVKJWKKXLLXLLYMMZMNZMO_N\ P`NQaORaORbOScPTdPUdQVeQWfQXfRXgRYhSZiS_iS`jTakTbk\ UblUcmUdnVenVfoWgpWhpWhqWdqW`rWXrWTrWPsWLsWHtWDtW9\ tW5uY7uZ9u`AuaCucEvdFvfHvgJviKvjMyjKxkLwkMwkMvkNvk\ NukOukOtkPtkPslQslQrlRrlRqlSplTplcolcolcnmcnmcmmcm\ mclmclmmkmmkmmjmmknmjmmimmilmhlzhkzgkzgjzfjzfizeiz\ eizdhzchzcgzbgzbfzafzaez`ez`dz_dz_dzZczYczYbzXbzXa\ zWazW`zV`zV_zU_zU_zTZzSZz } 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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<David>, Friends-Fractint's evolver on Mar 4, 2011 FOYD(Emerald)
by Hal Lane 09 Mar '11

09 Mar '11

David, Friends, I used Fractint's evolver on Jim's March 4th, 2011 FOYD (Emerald) and created 81 thumbnail-sized variations on his fractal. It's on the FOTD site named E110304A.gif in the "Hal's Variations..." (far right column) of the March 2011 FOYD web page at: http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html This fractal has a lot more parameter space left to explore... While we're on "interesting things to try," try putting these two images in adjacent tabs in your browser: http://www.emarketingiseasy.com/TESTS/FOTD/F110308U.gif and http://www.emarketingiseasy.com/TESTS/FOTD/F110308T.jpg (make sure you maximize both of them by clicking each image once!), then move the focus between the two tabs with: <ctrl><pg-up> and <ctrl><pd-down> to see the effect of anti-aliasing and sharpening on this variation on Jim's March 8, 2011 FOTD. - Hal Lane ######################### # hallane(a)earthlink.net # #########################

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FOTD 08-03-11 (Taking a Break [5])
by Jim Muth 08 Mar '11

08 Mar '11

FOTD -- March 08, 2011 (Rating 5) Fractal visionaries and enthusiasts: Things turned quite busy here at FC on Monday, with lots of snow to clear away and plenty of other work to clear up also. When things turned too hectic, I decided I needed a break from the routine of getting the early FOTD images and parameter files ready to be posted to my FOTD web site, which involves boring and repetitious things such as taking out the carriage returns in the discussions. (Recoloring the old images is a lot more fun.) Unless we get flooded or something else happens, the web site should appear late this week. What better way to take a break than to find an all-new fractal? I named it "Taking a Break" because that's what I was doing when I found it. It's not much of an image, rating only only a hum- drum 5, but it's all new, and that's what counts. The image lies near a larger minibrot in the 'fan' of the frac- tal that results when 4 negative parts of Z^(-1.3) are combined with 0.8 negative part of Z^(-5.3) and (1/C) is added on each iteration. The calculation time of only 36 seconds is blessedly brief. Another way to see the image is to visit Hal's FOTD web site at: <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> where the finished image is posted. Paul's web site is still located at: <http://www.Nahee.com/FOTD/> but it is far from up to date. Rain fell all day Sunday here at Fractal Central. At nightfall it changed to heavy snow, which fell all night. Monday dawned with a clearing sky and 13 inches, (32cm) of fresh snow on the ground, with drifts over one meter high. Luckily, the rest of Monday turned quite mild. The temperature of 43F +6C and strong sun did away with much of the snow. The fractal cats were puz- zled by the changed appearance of the outside world, but fully enjoyed the sun on their window shelf. My day was hectic; FL's was pretty much the same. The next new FOTD will be posted whenever I again need a break from setting up the web site. I will continue to post the old FOYD's every couple days while working on the site. Until whenever, take care, and if science is wrong, then what is right? Jim Muth jamth(a)mindspring.com START PARAMETER FILE======================================= Taking_a_Break { ; time=0:00:36.14-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=MandAutoCritInZ function=recip center-mag=+2.09990941577677900/-1.443549276860739\ 00/2.165757e+009/1/-82.4995882901815349/0.00083256\ 2149663956808 params=-4/-1.3/-0.8/-5.3/0/0/0/0 float=y maxiter=1500 inside=0 logmap=144 symmetry=none periodicity=6 cyclerange=12/255 sound=off mathtolerance=0.05/1 colors=00029f4Af6Be8CiADmCEqEFuGGyGHzGIzGJzhEVfDTW\ DQTCNJCLLBI6BG7GE8KD8OC9TA9X9A`8Ad7CeADeDFeGGeJHfM\ JfPKfSLfUReSXeQbdPhdNncLscKrgPqkUpnZorcouglpYikOff\ Eca5UX9KSDANH0JL8MNFOPNQRUST`VVhXXoZZv`_ZSdCKhsNko\ RikUhhXfd_eabcYebVhaWicXjdYkfYkgWkaUkXSkSRkMPkHNkC\ Mk7WrEdyLhsPkmSZ_cMNoAAz7Mg4YQ1i85bB9WEDQHHJKLDNP6\ QS0SQ8XOF`MMeLUiJ`nHgrGnvvXbmUYeRUYOPQMLTZZWkkYwx`\ uvctufrtiqslpqonprmoulndfQVeRMeRDdS4dSFb_Qag`_ojZw\ lbrnemphhrlctoZurVcwofxfhxYkyPmyGKGSNKWPNZRRbTUeWY\ iY`l_dpags`ap_WnZRlYQiXQfWPcVP`UOYUOWfTTrXRgcNYiJO\ oGOlIOiKOgMOdOObQO_SOYUCka0yh2og4ef6Xf8Ne9EeEN_IVU\ NbORjIWrC_z6UmCO`HIOMCCRADN9EJ8FF6GB5H74H42zX4zS6z\ O8zKAzGzzCzz8zz4zz6zz8zzAzzHzzNCzzEzzGzzIzzKzzLzzF\ zzDzzzzzzzzzzzzzzzzzzzzzzzzzzzzLzzQzzVzz_zzdzzizzn\ zzgzzazzVzzPzzIzzCzzIzzNzzSzzYzzbzzgzzjzzmzzpzzqzz\ rzzrzzszzszzuzzvzzWzz`zzY } 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 06-03-11 (Europa)
by Jim Muth 06 Mar '11

06 Mar '11

FOYD -- March 06, 2011 (Rating 9*) Fractal visionaries and enthusiasts: Today's blast from the past is a fractalized imaginary scene on Europa, the ice-covered moon of Jupiter. It first appeared in June of 1997. It appears again today in an updated version, which will likely be worked on a bit more before making it to the new FOTD web site. The name "Europa" says it all. Since the image is a repeat, I could give it no rating, though if I had rated it, a rating of 9 would have been justified. The effect of a distant sun reflect- ing off a surface of rough ice is remarkably convincing, though I doubt that the wispy clouds could exist in such a scene, since Europa has no atmosphere. The formula is a test that I discarded long ago, but it had a few good images in it, so here it is in all its unglory. The image may be seen by running the included parameter file or by visiting the current FOTD web site at: <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> BTW, plans are to have the first page of my FOTD web site up and hopefully running sometime this week. We'll see how it goes. Stay tuned for imminent excitement. Saturday brought lots of clouds to Fractal Central, but it also brought a temperature of 59F 15C, which kept the fractal cats satisfied. The rest of the day went along routinely. Sunday brought a chilly rain, with a steadily dropping temperature. The next FOYD will be posted in a few days. Until whenever, take care, and balance that budgie. Jim Muth jamth(a)mindspring.com START PARAMETER FILE======================================= Europa { ; time=0:01:36.72-SF5 on P4-2000 reset=1960 type=formula formulafile=jim.frm formulaname=man-yz-xz passes=1 center-mag=-0.00000686598512544/-1.845082873438826\ /8.246947e+010/-5.121e-005/359.999056918636597/\ -89.9990597420641762 params=0/0/1/0 float=y maxiter=5000 inside=255 logmap=yes periodicity=10 colors=0007Ry7Rx8Qw8Qv9Qt9PsAPrAPqBOpBOoCNnCNmDNkD\ MjDMiEMhELgFLfFLeGKcGKbHKaHJ`IJ_IJZIIYJIWJIVKHUKHT\ LGSLGRMGQMFPNFNNFMOELOEKOEJNEJNEJMEJMEJLDJLDJLDJKD\ JKDJKDJJDJJCJICJICJICJHCKHCKGCKGBKGBKFBKFBKFBKEBKE\ BKDAKDAKDAKCAKCAKBAKBAKBAKA9KA9K99K99K99K89K89K88K\ 78K78K68L68L68L58L57L47L47L47L37L37L37L26L26L16L16\ L16L27M27N38N38O49O49P4AQ5AQ5AR6BR6BS6CS7CT7CU8DU8\ DV8EV90W90XA0XA1YA2YB3ZB4ZC5_C6`C7`D8aD9aDAbEBcECc\ FDdFEdFFeGGeGHfHIgHJgHKhILhIIiJNjJOjJPkKKkKQlLRlLR\ mLRnMRoNKpNSpNTqNVzJazJezKhzUhzOfzGdzGbzK`zMZzSPvS\ SwTYxTYyTYyTZzU_z0czV`zV`zV`zWazWazWazXbzXbzYczYcz\ YczZdzZdz_ez_ez_ezZdzZdzZdzYdzYdzYczYcztzzvzzxzzzz\ zzzzzzzWbzWbzVbzVbzVazVazUazUazUazUazTazT`zT`zT`zS\ `zS`zS`zS`zR_zR_zR_zR_zQ_zQ_zQ_zQZzPZzPZzPZzPZzOZz\ OYzOYzOYzNYzNYzNYzNYzMXzMXzMXzMXzLXzLXzLXzLWzKWzKW\ zKWzKWzJWzJWzJVzJ`zJazJaz } frm:Man-YZ-XZ {; Jim Muth, Thanks to Benno ; p2 = 0 = Julibrot YZ plane ; p2 = 1 = Julibrot XZ plane ; p2 = >0 <1 = Oblique planes z=real(pixel)+flip(real(p1)), c=imag(pixel)+flip(imag(p1)), a=p2, b=flip(cos(asin(p2))): z=sqr(z)+((a+b)*c), |z| <= 25 } END PARAMETER FILE=========================================

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Folium
by Mike Frazier 04 Mar '11

04 Mar '11

Here is a link to a web page with an image: http://www.fracton.org/fmlposts/folium.html The formula for this fractal is called Folium_Curve and is based on the formula Astroid_Mset by Paul Carlson. It generates a Folium Of Descartes curve which looks like a line with a loop in it. This curve was picked to demonstrate that it is possible to generate curves with loops using the cartesian form as suggested by Gerald Dobiasovsky. The image looks best drawn large and anti-aliased. The parameter file used to make this image is below: Folium { ; Exported from Fracton. reset=2004 type=formula formulafile=fracton.frm formulaname=Folium_Curve passes=1 float=y center-mag=-0.5721775288599359/0.6474535253927753/\ 17.777778/1/-5/0 params=1e-05/1/5/30/0.375/0/0/0/0/0 maxiter=500 inside=255 outside=summ colors=000fOz<22>N5TM4RL3Q<3>I0Kz0f<22>W0FV0ET0D<3\ >O08z88<22>W22V11T11<3>O00zW0<22>hA0g90f80<3>c40zz\ 0<22>fQ0eO0dM0<3>aG00zR<22>0N90L80J7<3>0C40zz<22>0\ NN0LL0JJ<3>0CCGGz<22>33W33V22T<3>00O000<7>000<4>00\ 0z88 } frm:Folium_Curve { ; Folium of Descartes example by Mike Frazier based on ; Astroid_Mset copyright (c) Paul W. Carlson, 1997 ; Additional improvements by Gerald Dobiasovsky ;**************************************************** ; Always use floating point math and outside=summ. ; ; Parameters: ; real(p1) = a factor controlling the width of the curves ; imag(p1) = radius of the curve ; real(p2) = number of color ranges ; imag(p2) = number of colors in each color range ; real(p3) = folium constant ; ; Note that the equation variable is w, not z. ; Initialize cindex to the index of the background color ; Formula modified to avoid color index 0 which can not ; be used with outside=summ in FractInt v20.04 ;**************************************************** w=0, c=pixel, z=0, cindex=254,; Background color bailout=0, iter=0, range_num=0, i=(0,1), r=imag(p1), ;**************************************************** ; In the accompanying par file, ; we have 8 color ranges with 30 colors in each range ; for a total of 240 colors. The first range starts at ; color 1. Pixels will use color 254 when |w| > 1000. ; Other values can be used here as long as the product ; of num_ranges times colors_in_range is less than 255. ; Color 254 is reserved for the background color and ; color 255 can be used for the inside color. ;**************************************************** num_ranges=real(p2), colors_in_range=imag(p2), ;**************************************************** ; Real(p1) controls the width of the curves. ; These values will usually be in the range 0.001 to 0.1 ;**************************************************** width=real(p1), index_factor=(colors_in_range-1)/width: ;**************************************************** ; The equation being iterated. Almost any equation ; that can be expressed in terms of a complex variable ; and a complex constant will work with this method. ; This example uses the standard Mandelbrot set equation. ;**************************************************** w=w*w+c, ;**************************************************** ; The orbit trap curve is an epicycloid. ; Any two-dimensional curve can ; be used which can be expressed in parametric form in ; terms of the angle from the origin. ;**************************************************** xx=r*real(w),yy=r*imag(w), a=real(p3), ;**************************************************** ; If the orbit point is within some distance of the curve, ; set cindex to the index into the colormap and set the bailout ; flag. Note: the way we use the "distance" here has ; the effect of turning the curves inside-out in the image. ;**************************************************** distance=|xx^3+yy^3-3*a*xx*yy|, if(distance<width&&iter>1), cindex=index_factor*distance+range_num*colors_in_range+1, bailout=1, endif, ;**************************************************** ; Cycle through the range numbers (0 thru num_ranges - 1) ; With two color ranges, even iterations use color ; range 0, odd iterations use color range 1. ;**************************************************** range_num=range_num+1, if(range_num==num_ranges), range_num=0, endif, ;**************************************************** ; Since we are using outside=summ, we have to subtract ; the number of iterations from z. ;**************************************************** iter=iter+1, z=cindex-iter, ;**************************************************** ; Finally, we test for bailout ;**************************************************** bailout==0&&|w|<1000 } -- Mike Frazier www.fracton.org

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FOTD 04-03-11 (Emerald)
by Jim Muth 04 Mar '11

04 Mar '11

FOYD -- March 04, 2011 Fractal visionaries and enthusiasts: Today's blast from the past is from way back -- May 06, 1997. But the image we see today is far different than the old one I posted almost 14 years ago. I have reworked it to bring out the effect of translucency at the edges. The formula behind the action is the MandNewt10, one in a series of formulas that I wrote many years ago and have since almost forgotten about. I never did figure out exactly what they do. I have dropped the rating system for the FOYD's. It's hard to give proper ratings to images that are mere tweakings of earlier scenes. The name "Emerald" is obviously based on the color scheme. The calculation time of all these old images is quite brief. After all, when I began the FOTD I was using a 100mhz-80486 machine. To see the image without the need for calculation, check Hal's web site at: <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> Paul's site still has the old version of the image posted. My own FOTD web site is moving along. The design is pretty well worked out. In fact, the first month is almost ready. We will upload it in a couple days and see how it flies. I'll post the address as soon as the first month is online and we see that it's working. If nothing goes wrong, there will be only 166+ more months to get posted! Thursday was quite chilly but sunny here at Fractal Central. The temperature rose from a morning low of 14F -10C to an after- noon high of only freezing. The fractal cats fully enjoyed the warm sun, but they would have preferred a bit less draft from the window. The next FOYD will be posted in a couple days. Until next time, take care, and I hear that the world is due to end on May 21. Jim Muth jamth(a)mindspring.com START PARAMETER FILE======================================= Emerald { ; time=0:00:57.26-SF5 on P4-2000 reset=1950 type=formula formulafile=basicer.frm formulaname=MandNewt10 center-mag=-0.106416/0/2.38\ /1/90/0 params=5/-1/1/0.5/1/5e-031 float=y passes=1 maxiter=430 inside=255 logmap=yes periodicity=0 colors=0008H78H78H78H78H77I67I67J67J6A66A86AA6AC6A\ E6AG6AI6AJ6AK5AL5AM5AN5AO5AP5AQ5AR59S58T57U56U56U5\ 6U56U56U56U56U55U45U45U45U45U45U45U45U45U45U45U45U\ 45U45V45W45X45Y45Z44_34_34`34`34a34a34a34b34b34c34\ c34c34d34d34d34e34e35f36f27f28g29g2Ag2Bh2Ch2Di2Ei2\ Gi2Ij3Kk3Mk3Ol4Qm4Sn4Un4Wo4Yp4_q5aq5cr5es5gs5it6ku\ 6mv6ov6qw6tx6wy7zz7wz7tz7qy8oy8my8ly9ky9jy9ix9hx9g\ xAfxAexAdxAcxAbxBaxB`xB_wBZwCYwCXwCWwCVwCUwDUwDUwD\ UwDUvDUvEUvETvETvETvETvFTvFTvFTvFTvFSuGSuGSuGSuGSu\ GSuHSuHSuHRuHRuIRtIRtIRtIRtIRtJRtJQtJQtJQtJQtKQsKQ\ sKQsKQsKPsLPsLPsLPsLPsLPsMPsMPrMOrMOrMOrNOrNOrNOrN\ OrOOrONrONqONqONqPNqPNqPNqPNqPMqQMqQMqQMqQMpQMpRMp\ RMpRLpRLpRLpSLpSLpSLpSLoSLoTKoTKoTKoTKoUKoUKoUKoUK\ oUJnVJnVJnVJnVJnVJnWJnWJnWInWInWInXImXImXImXImXImY\ HmYHmYHmYHmYHmZHlZHlZHlZGl_Gl_Gl_Gl_Gl_Gl`GlbGleFl\ hFmkFmnFnqFntFowFozFpzFpz } frm:MandNewt10 {; Jim Muth z=g=pixel, a=real(p1), b=imag(p1), c=real(p2), d=imag(p2), k=real(p3), f=imag(p3): h=z^a+(g-b)*z-g j=c*z^d+g z=z-k*h/j, f <= |h| } END PARAMETER FILE=========================================

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Jim Muth's Mar 2, 2011 FOYD is on the site
by Hal Lane 03 Mar '11

03 Mar '11

Friends, The image for Jim Muth's March 2, 2011 Fractal of YesterDay (and a copy of his discussion) are on the current site now: http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html - Hal Lane ######################### # hallane(a)earthlink.net # #########################

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Test -- IGNORE
by Jim Muth 03 Mar '11

03 Mar '11

At 01:34 PM 2/28/2011 -0500, you wrote: > >This is a continuing test to determine >if the blocking problem has been resolved. Jim

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FOYD for March 02, 2011
by Susan Brown 02 Mar '11

02 Mar '11

FOYD -- March 02, 2011 (No Rating) Fractal visionaries and enthusiasts: Well, what do we have here? It's not an FOTD, it's an FOYD. This is not a typo, its a new breed of animal. I am now posting FOYD's -- Fractals of YesterDay. As I recently mentioned, I am reworking some of the old images to give my upcoming web site something out of the ordinary. Today's image is a 14-year-old one first posted in April, 1997 under the name Fractal Fern. A comparison of that old image with the improved version that I am posting in this FOYD makes it very clear that some of the old FOTD images have a lot of room for improvement. Since the work on the web site will leave little time to find new images, I will post some of the old ones that have been sig- nificantly improved by a second effort. But I cannot honestly call the old images 'Fractals of the Day', so I have decided to call them 'Fractals of YesterDay'. The latest news about the soon-coming web site is that FL has agreed to help me get it up and running when she has the time. In return I will include on my site a link to her pet project -- a word-search-puzzle site -- and she will do the same on her site. Fair is fair. My present plans are to post simple 640x480 images, along with the discussions and parameter files. But the images will not be mere duplicates of those on the old web site. The images on my site will be reworked to bring them up to my present standards. When I get the site up to date I will resume posting new FOTD images, perhaps in high definition, but this will be some distance in the future. Finally, I must state that things are still at a rudimentary stage. Most likely plans will change as we find out what will work and what will not. The weather here at Fractal Central on Tuesday was near perfect -- total sun and a temperature of 43F +6C. The fractal cats were quite frisky for some reason, and at one time I thought I heard them quarreling. My day and FL's day as well were quite busy, mostly working out web site problems. The next FOYD will be posted in a day or two, whenever I make enough improvement in some old image to make it worth posting at once. Until then, take care, and keep the fractal faith. Jim Muthjamth(a)mindspring.com START PARAMETER FILE======================================= Fractal_Fern { ; time=0:00:13.40-SF5 on P4-2000 reset=1950 type=formula formulafile=oldforms.frm formulaname=fracfern passes=1 center-mag=2.85889/0\ /0.0847159/1/90/ float=y maxiter=10000 inside=bof60 logmap=yes periodicity=6 colors=00070800D57F4BK3GP4MU5UZ6Zc6ch7hm8mr9rvAvzz\ zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\ zzzwzzwzzwzzwzzwzzwzzwzzwzzwzzwzzwzzwzzwzzwzzwzzwz\ zwzzwzzwzzwzzwzzwzzwzzwzzvzzuzztzzszzrzzqzzpzzozzm\ zzlzzkzzjzzizzhzzgzzfzzezzdzzczzczzczzczzczzczzczz\ czzczzczzczzczzczzczzczzczzczzczzczzczzczzczzczzcz\ zczzczzczzczzczzczzczzczzczzczzczzczzczzczzczzdzyd\ zxezwfzvgzuhztizsizrjzqkyplxomwnmvmmtlmskmrjmpimoh\ mmgmlfmkemidmhcngbneand`nc_naZn`YnZXnYWnXVnVUnUTnU\ SnVRmVRmWRmWQmXQmXQmYPmYPmZPmZOm_OmZOmYNmXMmWLmVKm\ UJmTImSHmRGmQFmPElODkNCjMBiLAhK9hJ8gI7fH6eG5eF4dE3\ cD2bC1aB0`A0_90Z80Y70X60WmEVnEUnDUoDToDTpCTpCSpCSq\ BRqBRrBQrAQsAPsAPt9Ot9Ou9Nu8Nv8Mv8Mw7Lw7Lw7Lx5Mw6M\ v7Lu9LtAKsBKrCJqDJpFIoGIoHInIHmJHlLGkMGjNFiOFhPEgR\ EfSDeTDCHABHAAGAAG99F98F9 } frm:fracfern {; Jim Muth z=c=pixel: z=z^1000*(c^(-1002))+c, |z| <= 10000 } END PARAMETER FILE=========================================

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Re: [Fractint] Test from FC
by JackOfTradeZ＠comcast.net 01 Mar '11

01 Mar '11

I am (and have been) receiving everything .......

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Fw: FOTD web site progress
by juanw＠shaw.ca 01 Mar '11

01 Mar '11

"Many of the more recent discussions contain controversial off- topic stuff that I omitted from the versions I posted to the Fractint list. The discussions that will be posted on the new web site will include this deleted stuff that is sure to offend the more sensitive fractalists, or those with 'sacred cows', such as conservative or liberal politics, religion, rational thinking, science and technology, or political correctness in general." Great. Can't wait for you to kick some sacred cows. Like the good old days! Fair winds and following seas. John W.

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FOTD web site progress
by Susan Brown 01 Mar '11

01 Mar '11

Fractal visionaries and enthusiasts: When I sent a test to the Fractint list through my mindspring address this morning, I found that the access block had been removed. But when I tried to send this message later in the day, it bounced. Apparently, the block is still in effect, but sometimes my messages take a different route through a server that is not blocked. Until I am sure the block is totally removed, I will post through this business address. With the list problem hopefully winding down, things are getting back to normal here at FC. Ideas for my upcoming FOTD web site are starting to take shape. To speed things up, I will re-use the main page I designed for Paul's FOTD web site. I am already reworking some of the images from April, 1997, which was the month when I began the FOTD. It will not be too much work since many images are already fine as is. I will post the address of the web site as soon as I have the month of April, 1997 up and running to my satisfaction. The discussions I wrote at this early point of the FOTD are rudimen- tary by current standards, but I will post them as is. Many of the more recent discussions contain controversial off- topic stuff that I omitted from the versions I posted to the Fractint list. The discussions that will be posted on the new web site will include this deleted stuff that is sure to offend the more sensitive fractalists, or those with 'sacred cows', such as conservative or liberal politics, religion, rational thinking, science and technology, or political correctness in general. As for the ongoing FOTD -- as soon as I get the month of April 1997 completely up and ready for viewing on the web site, I will try alternating days of working on the web site with days of posting new FOTD images and discussions. I really was at the boiling point when the Feb 27 FOTD bounced, and I feel I acted hastily when I completely scrapped the FOTD. It is hard to estimate the time required to get the first month ready. I hope to finish in a week or so. But with 168 months of back FOTD's to work on, and finishing one month a week, it will be over 3 years before the web site is up to date. We will find short cuts as we go along of course, and FL has volunteered to help when things are slow, so this time will probably be cut. As for things here at Fractal Central on Monday -- the day began with heavy rain and thunder. The rain ended by midday but the clouds hung on until nightfall, while the temperature ranged around 50F 10C. The fractal cats, who were lying low while I was in a bad mood, were quite playful as they chased each other up and down the hallway, ducking in and out of the book stacks on the hall shelf. I'll keep in touch on the list as the web site takes shape. And the FOTD is not quite as dead as earlier claimed. I will post it on an every-other-day basis as soon as the first month's FOTD's are up and running on the new FOTD web site. Until when- ever, take care, and this little episode might have been just the kick in the butt I needed to get really moving on the web site. Jim Muthjamth@mindspring.comjimmuth@earthlink.net

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Test from FC
by Jim Muth 28 Feb '11

28 Feb '11

This is the first if a series of tests to determine when the blocking problem has been resolved. Jim Muth

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FW: An exchange between Hal & Jim re FOTD
by Hal Lane 27 Feb '11

27 Feb '11

Friends, Jim Muth and I maintained a correspondence over a "back channel" about various aspects of my putting his FOTD images and discussions onto my server: http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html Jim authorized me to post our most recent exchange to the Fractint list and it appears below. - Hal Lane ######################### # hallane(a)earthlink.net # ######################### > -----Original Message----- > From: Jim Muth [mailto:jamth@mindspring.com] > Sent: Sunday, February 27, 2011 1:50 PM > To: hallane(a)earthlink.net > Subject: Re: Would you be willing to consider... > > > Hal: > > If you wish to forward this entire letter or just parts to > the list, feel free to do so. > > At 10:28 PM 2/26/2011, you wrote: > > >Sorry this posting business has been such a trial for you. > > So am I. > > Hal wrote: > >You (Jim) said: > > >> I will continue to find fractals and write about them, but > >> I will hold them on file until my own web page is up... > > >In addition to holding them for your site, would you > >be willing to continue to send me the FOTD parm files, > >images (and any discussion), so I can put them up on the > >current FOTD site -- until you get your web site going? > > There will be no more FOTD images or discussion to send. > > >...so that there's no "gap in coverage" in FOTD's appearing > day by day. > > There can be no FOTD coverage gap, since the 'gap' is actually > the end. The situation is not that I will never be able to send > to the list. Both Earthlink and xmission are aware of the > situation and working to resolve it. I will probably be able to > send stuff to the list as always by the end of this week. I'll > send a short test to the list every day so that I will know when > the problem is solved. > > The situation is that after what happened here Saturday, I have > decided to abandon posting FOTD fractals and discussions to the > Fractint list on a daily basis. If you want to imagine the > details of what happened Saturday, imagine how you would react > if, after writing what I described in the final FOTD, you tried > to post the FOTD to the list and it bounced again. I have moved > on from the FOTD and am now organizing plans for my upcoming web > site. > > >I'm also willing to temporarily continue to post the > >parm file (and any discussion) to the Fractint list serve. > >This takes me very little time to do. > > Many thanks, but there will be nothing to post. > > >You could consider temporarily shortening your FOTD > >discussion to free up time for your web site development... > > With no FOTD at all, I will have ample time for the development. > > >Everyone on the Fractint list would be very sad if you > >permanently had no presence there. > > I will still have a presence. I will remain a subscriber and > join in any interesting discussions. If I turn up a really > great image, I will post it just as I always have posted the > FOTD's. What I am ending is the every-day posting schedule. > > >I feel like many (perhaps most) of the current lurkers > >and posters on the Fractint list serve are primarily drawn > >by the smooth flow of your FOTD fractals, as well as the > >convenience of viewing them with just a click or two. > > Then they will be equally drawn to the upcoming web site, which > if my present plans work out, will include improved, recolored, > anti-aliased (if needed) versions of every one of the 5000 or so > past FOTD images. I can now do a far better job on many of the > earlier images. But obviously, this is a huge task that will > not be completed in a week or two. > > >I have a grave concern that the list could fall into > >a deep, dark place without your presence. > > If the list is in this delicate a condition, then it is in > effect already dead. > > > >I forgot to mention that Gmail email addresses are easy > >to obtain. > > Yes, we use gmail for our business also. Check the full address > of the Susan Brown subscription. > > Do not think I am punishing the list for something some spammer > is responsible for. I am simply taking the latest turn of > events as a sign that the time has arrived to move on to my long- > planned FOTD web site. > > I will send the address of the upcoming web site to the list as > soon as we find the best host, get the design worked out, and > have enough stuff posted on it to make a trip worth the effort. > > > Jim Muth > > -----

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Re: [Fractint] Thanx Jim!
by JackOfTradeZ＠comcast.net 27 Feb '11

27 Feb '11

. I will echo other's opinions and amplify it by mathematical expression: . (I am sure I speak for not only myself when I say that I want to thank you for the many years of beautiful and fantastic visuals and thought provoking comments you have provided to all fractal lovers...many thanks Jim. Can't wait for your website. Thanks Jim for all the great fractals over the years. No one else gave so much. I like many others have been inspired by your work.) ^2 .

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Web Loops
by Mike Frazier 27 Feb '11

27 Feb '11

Here is a link to a web page with an image: http://www.fracton.org/fmlposts/web_loops.html I used the Epicycloid_Mset formula to make this image. A spiderweb like fractal with epicycloid loops. There is also a zoom animation Quicktime movie: Quicktime Movie 10.0 MB, 30 sec, 640 x 480 http://web.me.com/gigagraphica/fimage/web_loops_640.mov The parameter file used to make this image is below: Web_Loops { ; Exported from Fracton. reset=2004 type=formula formulafile=fracton.frm formulaname=Epicycloid_Mset passes=1 float=y center-mag=0.4707827378458914/0.3478907363901677/3\ 809523857142.857/1/186/0 params=0.14/0.86/7/30/8/0.25/0/0/0/0 maxiter=1000 inside=255 outside=summ colors=000fOz<28>I0Kz0f<28>O08z88<28>O00zW0<28>c40\ zz0<28>aG00zR<28>0C40zz<28>0CCGGz<28>00O000<12>000\ z88 } frm:Epicycloid_Mset { ; Epicycloid_Mset based on Astroid_Mset ; Astroid_Mset copyright (c) Paul W. Carlson, 1997 ; Epicycloid_Mset by Mike Frazier, 2011 ;**************************************************** ; Always use floating point math and outside=summ. ; ; Parameters: ; real(p1) = a factor controlling the width of the curves ; imag(p1) = radius of the curve ; real(p2) = number of color ranges ; imag(p2) = number of colors in each color range ; real(p3) = number of cusps, even integers ; imag(p3) = cusp amplitude (0 to 1) ; ; Note that the equation variable is w, not z. ; Initialize cindex to the index of the background color ; Formula modified to avoid color index 0 which can not ; be used with outside=summ in FractInt v20.04 ;**************************************************** w=0, c=pixel, z=0, cindex=254,; Background color bailout=0, iter=0, range_num=0, i=(0,1), r=imag(p1), f=real(p3)+1, b=imag(p3), ;**************************************************** ; In the accompanying par file, ; we have 8 color ranges with 30 colors in each range ; for a total of 240 colors. The first range starts at ; color 1. Pixels will use color 254 when |w| > 1000. ; Other values can be used here as long as the product ; of num_ranges times colors_in_range is less than 255. ; Color 254 is reserved for the background color and ; color 255 can be used for the inside color. ;**************************************************** num_ranges=real(p2), colors_in_range=imag(p2), ;**************************************************** ; Real(p1) controls the width of the curves. ; These values will usually be in the range 0.001 to 0.1 ;**************************************************** width=real(p1), index_factor=(colors_in_range-1)/width: ;**************************************************** ; The equation being iterated. Almost any equation ; that can be expressed in terms of a complex variable ; and a complex constant will work with this method. ; This example uses the standard Mandelbrot set equation. ;**************************************************** w=w*w+c, ;**************************************************** ; The orbit trap curve is an epicycloid. ; Any two-dimensional curve can ; be used which can be expressed in parametric form in ; terms of the angle from the origin. ;**************************************************** ang=atan(imag(w)/real(w)), astroid=r*(cos(ang)-b*cos(f*ang)+i*(sin(ang)-b*sin(f*ang))), ;**************************************************** ; If the orbit point is within some distance of the curve, ; set cindex to the index into the colormap and set the bailout ; flag. Note: the way we use the "distance" here has ; the effect of turning the curves inside-out in the image. ;**************************************************** distance=abs(|w|-|astroid|), if(distance<width&&iter>1), cindex=index_factor*distance+range_num*colors_in_range+1, bailout=1, endif, ;**************************************************** ; Cycle through the range numbers (0 thru num_ranges - 1) ; With two color ranges, even iterations use color ; range 0, odd iterations use color range 1. ;**************************************************** range_num=range_num+1, if(range_num==num_ranges), range_num=0, endif, ;**************************************************** ; Since we are using outside=summ, we have to subtract ; the number of iterations from z. ;**************************************************** iter=iter+1, z=cindex-iter, ;**************************************************** ; Finally, we test for bailout ;**************************************************** bailout==0&&|w|<1000 } -- Mike Frazier www.fracton.org

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Good-Bye to the Fractint list
by Susan Brown 27 Feb '11

27 Feb '11

Fractal fans: The FOTD for February 27, which Hal lane will soon post, will be the last one I post to the list perhaps forever. Just when I thought the problem had been solved, the FOTD for Feb 27 bounced back. I have had it with fractal frustration. it is taking too big a toll on things here at FC. It has been enjoyable posting to the list these past 14 years, but all good things must come to an end. I will continue to find fractals and write about them, but I will hold them on file until my own web page is up and running to my satisfaction. With the extra time available, my web site should be ready sooner rather than later. If earthlink does get the problem solved in a few days, as they said they would do when I talked with them, I will again be able to post to the list, but by then I will be well into the task of building my FOTD web site, and will have no time to write the FOTD. I will keep reading the list and lurking however, so this is a chance for all budding fractalists to show their stuff. I'll post the address of my web site as soon as I feel it is ready. Jim (the frustrated to the limit) Muth

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Jim's Muth's Feb 27, 2011 FOTD text
by Hal Lane 27 Feb '11

27 Feb '11

Friends, Jim authorized me to post this text for the Feb 27, 2011 Fractal of the Day that he got to me through the "back channel." - Hal Lane ######################### # hallane(a)earthlink.net # ######################### ###### Jim's Feb 27, 2011 FOTD text ######################### FOTD -- February 27, 2011 (Freak_in_the_Night -- Rating 6.5) Fractal visionaries and enthusiasts: I think the problem about my inability to post directly to the Fractint list has been solved. An xmission customer contacted xmission customer support and explained the problem. Customer support then pushed a few buttons and the xmission spam filter permitted my posts to the Fractint list to pass through. How simple when one knows just what to do. Compare this to my own efforts to solve the problem. My first thought was that some big spammer had forged my email address as the point of origin of their junk mail, so I set up a new ad- dress. Unfortunately, when I subscribed under the new address, the new address didn't work either. Next, I went on the Earthlink chat line and explained the problem. The woman at the other end told me to phone Earthlink technical support. But when I phoned technical support, I was connected to a man apparently in some overseas country, (my guess is India), who could barely speak English and had even less ability to under- stand my problem. When he told me I could not get connected because my payments were behind, I said 'thank you' and hung up. The payments are charged automatically to a credit card. Then I subscribed to the Fractint list through the FC business email address. This new address got through to the list, but the business machine is at a different location, and is usually tied up with other tasks. By this time I was receiving other ideas from the list. (I could receive but not send.) Ideas varied -- it was xmission's fault, it was Earthlink's fault, my email address was at fault, my computer had been hijacked and unknown to me was sending out masses of spam. (Unlikely for a 10-year-old machine with a dial-up connection that is online only a couple minutes a day.) I even heard that a hacker (who must have hated fractals) was behind the blockage. At this time I wondered whether I was being given a sign from above that I should suspend the FOTD and put the extra time to getting my own web site up and running. (Due to a lack of time, the web site is woefully lagging.) But then I decided to try the Earthlink technical help chat line once again. This time I was connected to a technician who under- stood the problem but could not explain it. He asked me to send the entire header for him to examine. (Did you ever try to accurately type an entire email header with an impatient helper on the other end of the line and a hungry cat at your feet ask- ing for food.) When I finally sent the header, he took another 5-minute break, then told me that xmission had blocked my Earth- link mail server because it had been sending too much spam to xmission, something I already knew. At this point, I replied with the big threat -- discontinuing service -- and he said to wait 5 minutes while he took my problem to a 'higher authority'. About 8 minutes later, he returned with a report that apparently, someone was abusing Earthlink's mail service, and replied that it would take several days to clear up things. Leap forward to Saturday morning, one week after the problem appeared. When I checked my morning email, I found a letter forwarded from the Fractint list stating that the problem had been resolved. Unfortunately, my old address, jamth(a)mindspring.com is the only one that presently gets through to the list, though I assume that my new address, jimmuth(a)earthlink.net, will work once Earthlink settles the entire situation in a few days. I'm now out of steam from writing. As for today's image, it's a scene with a bizarre minibrot in the Z^(1.25)+C Mandeloid. I have put a bit of extra coloring effort into the image, so enjoy it while it lasts. The name "Freak in the Night" refers to the freakish shape of the minibrot as well as the overall somber hues. The rating of a 6.5 credits me for 1/2 point of the coloring worth. The calculation time of 1-1/3 minutes is a real bargain, and even the small inconvenience of running the included parameter file may be avoided by viewing the finished image on the current FOTD web site at: http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html The original web site with all the images and discussions since April 1997 may be accessed at: http://www.Nahee.com/FOTD/ But I have not heard from Paul in several months, and I have no idea how long his web site will remain up. Morning sun and afternoon clouds made Saturday a day of variety here at Fractal Central. The fractal cats passed most of the day watching for unwanted cats to appear in the yard. Their thrashing tails indicated that the unwanted cats were about. Except for left-over frustration about the fractal situation, my day was reasonably settled. FL was feeling a bit below par, so we took no antiquing trip. The next FOTD is scheduled to appear in 24 hours. Hopefully, it will. Until then, take care, and why must simple things be made so difficult? Jim Muth jamth(a)mindspring.com START PARAMETER FILE======================================= Freak_in_the_Night { ; time=0:01:20.14-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=MandelbrotBC3 function=ident passes=1 center-mag=+0.56035189/+3.4634472/795/1/27.5/0 params=1.25/0/3/0 float=y maxiter=32000 inside=0 logmap=40 periodicity=6 colors=00000g00e00c00b00`00Z02X04W06Y08Z0A`0Ca0E`0\ G_0IZ0KZ0MY0OX0QW0SW0UY0W_1Za2ac3de5gg7ki6mk5im5eo\ 4`p4Xq3Tq2Or2Kr1Gs1Bs07t03t22p32m42j52g62d72`82YA2\ VB2SC2PD2LE2IF2FG4CH89LCEOGJRKOVMTYOY`QbdSggUljVqm\ WvfYu`ZtV_sP`sNaqMboKcmJelJgnIiqHksHmvGkxGqzFrwEsu\ EtsDupDvnCwlCxiBygBzeFydJxcNwcRvbVubYuaataes`iq`mp\ _po_qnYrmWrmUsmSsmQtmOtmMumKumIvmHvmFwmDwmBzr2xr9x\ r7yrUyrUzrUnrUorUprUprUqmUqmUrmUrwUswUswUtwVtwTuwQ\ vwNvwLwwIwwFxwDxwAyw7yw5zw2DzvGzrJzoLzlOziRzfTzcWz\ `ZzY`zVczRezOhzLkzImzFpzCsz9uz6xz3xzGyzFyzEyzEyzDy\ zDyzCyzCyzByzByzAyz9yz9yz8yz8zz7zz7zzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzczzczzczzczzbzzjzzrzzkzzlzzlz\ zmzzmzznzznzzozzozzpzzpzzqzzqzzrzzrzzszzszzszztzzt\ zzuzzuzzvzzvzzwzzwzzxzzxzzyzzyzzzzzzzzmzzmzzmzzmzz\ mzzmzzmzzmzzmzzmzzPzzRzzTzzVzzXzz_zzazzczzezzgzziz\ zkzznzzpzzrzztzzvzzxzzczz } 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========================================= ###### End of Jim's Feb 27, 2011 FOTD text ################

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FOTD for Feb 26 -- test
by jamth＠mindspring.com 26 Feb '11

26 Feb '11

FOTD -- February 26, 2011 (Rating 7.5) Fractal visionaries and enthusiasts: This FOTD will be coming through an indirect route. But I think the problem with the blocked e-mail direct to the Fractint list has been solved. Earthlink says it will take several days for me to regain access to xmission however, so I am still not claiming that the problem has ended. Today's rather striking image lies in the parent fractal that results when the simple formula Z^(1.5)+C is iterated 3 levels up the logarithmic ladder and no function is applied. This parent consists of a reasonably recognizable main bay with a disconnected fragment of a filament lying some distance to the southwest. Today's scene lies near a larger minibrot on this fragment. Most of the 'striking' effect is due to my coloring, which explains the extra half point I awarded to myself. The rather suggestive name 'A Deep Dark Mystery' refers to the location of the scene in its parent fractal. The calculation time of 2-1/2 minutes is almost blazingly fast, especially considering that the image is not a type=mandel, which I think uses machine language. Those who would rather not calculate may view the finished image on the FOTD web site 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/> Morning rain and afternoon wind marked Friday here at Fractal Central. The fractal cats didn't mind the rain, but they got a bit skittish when trash cans started blowing around in the after- noon. The temperature of 37F +3C was near normal for the day; the wind made it feel much colder however. The next FOTD is schedule to be posted in 24 hours. Until then, take care, and beware of fraudulent fractals. Jim Muth jamth(a)mindspring.com START PARAMETER FILE======================================= A_DeepDark_Mystery { ; time=0:02:30.10-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=MandelbrotBC3 function=ident center-mag=-0.9990997088247993/-0.8321559193735784\ /5.35472e+009 params=1.5/0/3/0 float=y maxiter=4500 inside=0 logmap=322 periodicity=6 colors=0008A89B9ACABDBCECDFDEGEFHFGIFHJGIKHJLIKMJL\ NKMOLNPLOQMPRNQSORTPSUQTVRSWSSXSRYTQZUP_VO`WNaXMbY\ McYLdZLe_Ke`Kf`JgaJgbIhbIicHidHjdGkeGkfFlfFmgEmhEo\ hDqiDskCumCvoFwqKxsPyuUzwZzxczyhzzmzzrzzzzzzzzcAmu\ iGfYCTN8EB49IL4UADg9YTKPLFUEAc75oFSdBFT8BJ57923NYV\ BHFqT4_J2I91YH`H8I8b29s9lEXW9MG4BHVWCNz8FG478ANj6F\ V37FFCLB9F76AW35pcjjVcVPRFCDANb9Ns52L21A9ZB6N73B3s\ `ieRYSINE9BL5RaJFJ97_dU`NyOFdC7KesaVeSLSJAE98ev6Vg\ 4LT2AEIJS99EnufPTLeSjVLZLENA7BLssASSmBMGhDAU85F4J4\ G9280H3081yqvd_bKIJszugkhHJHr6Sz4LR3ED171zo0VQ02F0\ 17HnhpKPQAC7Tk5L_3EO17CA7a53JL2`F1RA1I509mFmXAXG5G\ ri__UOIFCkPM_IGOCBC65P8pE_u9Oa4CJVoxFQUwZqUHRUlETZ\ OLQIEHC786lBW_8OO5GC28hyHUdBFK52Do18Y04HXK8MD5B62q\ yW`AVO6KC3AxcucQaKDJ1JFFXug2zX1jM1VB0FIZoDQb9HQ48D\ 0_n0Ra0IP09CZb9HJ4VRiNKYPvLRtLTqLVoLYlL_jLagLceLfc\ Lh`LjZLlWLoULqRLsPLuNLqRJ } 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=========================================

2 1

FOTD 26-02-11 (A Deep Dark Mystery [7.5])
by Jim Muth 26 Feb '11

26 Feb '11

FOTD -- February 26, 2011 (Rating 7.5) Fractal visionaries and enthusiasts: This FOTD will be coming through an indirect route. But I think the problem with the blocked e-mail direct to the Fractint list has been solved. Earthlink says it will take several days for me to regain access to xmission however, so I am still not claiming that the problem has ended. Today's rather striking image lies in the parent fractal that results when the simple formula Z^(1.5)+C is iterated 3 levels up the logarithmic ladder and no function is applied. This parent consists of a reasonably recognizable main bay with a disconnected fragment of a filament lying some distance to the southwest. Today's scene lies near a larger minibrot on this fragment. Most of the 'striking' effect is due to my coloring, which explains the extra half point I awarded to myself. The rather suggestive name 'A Deep Dark Mystery' refers to the location of the scene in its parent fractal. The calculation time of 2-1/2 minutes is almost blazingly fast, especially considering that the image is not a type=mandel, which I think uses machine language. Those who would rather not calculate may view the finished image on the FOTD web site 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/> Morning rain and afternoon wind marked Friday here at Fractal Central. The fractal cats didn't mind the rain, but they got a bit skittish when trash cans started blowing around in the after- noon. The temperature of 37F +3C was near normal for the day; the wind made it feel much colder however. The next FOTD is schedule to be posted in 24 hours. Until then, take care, and beware of fraudulent fractals. Jim Muth jamth(a)mindspring.com START PARAMETER FILE======================================= A_DeepDark_Mystery { ; time=0:02:30.10-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=MandelbrotBC3 function=ident center-mag=-0.9990997088247993/-0.8321559193735784\ /5.35472e+009 params=1.5/0/3/0 float=y maxiter=4500 inside=0 logmap=322 periodicity=6 colors=0008A89B9ACABDBCECDFDEGEFHFGIFHJGIKHJLIKMJL\ NKMOLNPLOQMPRNQSORTPSUQTVRSWSSXSRYTQZUP_VO`WNaXMbY\ McYLdZLe_Ke`Kf`JgaJgbIhbIicHidHjdGkeGkfFlfFmgEmhEo\ hDqiDskCumCvoFwqKxsPyuUzwZzxczyhzzmzzrzzzzzzzzcAmu\ iGfYCTN8EB49IL4UADg9YTKPLFUEAc75oFSdBFT8BJ57923NYV\ BHFqT4_J2I91YH`H8I8b29s9lEXW9MG4BHVWCNz8FG478ANj6F\ V37FFCLB9F76AW35pcjjVcVPRFCDANb9Ns52L21A9ZB6N73B3s\ `ieRYSINE9BL5RaJFJ97_dU`NyOFdC7KesaVeSLSJAE98ev6Vg\ 4LT2AEIJS99EnufPTLeSjVLZLENA7BLssASSmBMGhDAU85F4J4\ G9280H3081yqvd_bKIJszugkhHJHr6Sz4LR3ED171zo0VQ02F0\ 17HnhpKPQAC7Tk5L_3EO17CA7a53JL2`F1RA1I509mFmXAXG5G\ ri__UOIFCkPM_IGOCBC65P8pE_u9Oa4CJVoxFQUwZqUHRUlETZ\ OLQIEHC786lBW_8OO5GC28hyHUdBFK52Do18Y04HXK8MD5B62q\ yW`AVO6KC3AxcucQaKDJ1JFFXug2zX1jM1VB0FIZoDQb9HQ48D\ 0_n0Ra0IP09CZb9HJ4VRiNKYPvLRtLTqLVoLYlL_jLagLceLfc\ Lh`LjZLlWLoULqRLsPLuNLqRJ } 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=========================================

1 0

Fwd: mail from xmission support
by Richard 26 Feb '11

26 Feb '11

1 0

Jim's Muth's Feb 22-24, 2011 FOTD parm files
by Hal Lane 26 Feb '11

26 Feb '11

Friends, Below are the parameter files for Jim Muth's FOTD for Feb 22 - Feb 24, 2011. I had received them from Jim on the "back channel" and had posted them on the FOTD web site previously, but had not forwarded them on to the Fractint list serve. Now that I have Jim's permission, here they are on the list serve. I do not have any commentary by Jim on the fractals generated by these parm files or about any "goings on" at Fractal Central. - Hal Lane ######################### # hallane(a)earthlink.net # ######################### ### Jim's Feb 22-24, 2011 FOTD parm files ############# ///////////////////////////////////////////////////// \\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\ ///////////////////////////////////////////////////// FOTD -- February 22, 2011 (An_Old_Friend) An_Old_Friend { ; time=0:00:41.36-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=MandAutoCritInZ function=ident center-mag=+2.6343292065912/-0.0003337941617046/\ 6.814826e+010/1/167.5/0 params=1/3/-2/2/0/0/0/0 float=y maxiter=1500 logmap=121 periodicity=6 colors=000zzzEEUFFZGGcHKhIPmJUrKcvLmzLvzLzzzLLzLzz\ zLzzz000555888BBBEEEHHHKKKOOOSSSWWW___ccchhhmmmsss\ zzzp0zp0zs0zu0sv8nvBfzGVzLGxP0zT0zZ0zb0zg0zl0zq0zz\ czzozzz0zV0zj0zz0jz0Vz0GzVVzbVzjVzrVzzVzzVrzVjzVbz\ VVzbVzjVzrVzzVrzVjzVbzVVzVVzbVzjVzrVzzVwzVzzVtzhnz\ lmzqhzuhzzhzzhuzhqzhlzhhzlhzqhzuhzzhuzhqzhlzhhzhhz\ lhzqhzuhzzhuzhqzhlz00S70SE0SL0SS0SS0LS0ES07S00S70S\ E0SL0SS0LS0ES07Y00c00m70zE0mL0cS0US0KS07SEESHESLES\ OESSESSEOSELSEHSEESHESLESOESSEOSELSEHSEESEESHESLES\ OESSEOSELSEHSKKSMKSOKSQKSSKSSKQSKOSKMSKKSMKSOKSQKS\ SzQczOczMczKczKSzKSzKSzKSzKQSKOSKMS00G40G80GC0GG0G\ G0CG08G04G00G40G80GC0GG0CG08G04G00G00G40G80GC0GG0C\ G08G04G88GA8GC8GE8GG8GG8EG8CG8AG88GA8GC8GE8GG8EG8C\ G8AG88G88GA8GC8GE8GG8EG8CG8AGBBGCBGDBGFBGGBGGBFGBD\ GBCGBBGCBGDBGFBGGBFGBDGBCGBBGBBGCBGDBGFBGGBFGBDGBC\ G000000000000000000000000 } 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 } ///////////////////////////////////////////////////// \\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\ ///////////////////////////////////////////////////// FOTD -- February 23, 2011 (UnlikelyMinibrot) UnlikelyMinibrot { ; time=0:00:02.01-SF5 on P4-2000 reset=2004 type=mandel center-mag=-0.1543378525208\ 854/+1.030798699292368/2.566606e+011/1/-15/0 params=0/0 float=y maxiter=1500 bailout=16 inside=0 logmap=329 periodicity=6 colors=000G3KH4KI5KJ6KK7KL8KM9KNAKOBKPCKQDKREKSFKT\ GKUHKVILWKMXMNYOOZQP_SQ`URaWSbYTc_UdaXecZfeaggchif\ ikhlljmmXnnUooRppOqqPrrUssZttcuuhvvmwwrxxvyyyzzzzz\ zF`W8g_4MIhFQ`CLUAHM7DF58724XKAUI9SH8QG8OF7MD6KC6I\ B5GA5E84C73A63852631421210XZ3RT2MN2GH1BB1550v7Xl5R\ b4MT3GJ2B915Oj4Kb3GV2CN28F1470QWkJO_DGO68C6W44L22A\ 1cGbWCVO9NG6F837itCdnA_h9Wb8RY7NS6IM4DH39B2451rBCd\ 89R56D23ixIYhDNU9BF4KbiI_eGXaFUZDRVCOSALO9IL7FH6CE\ 49A3671339uE8oC7iB6c95Y84T73N52H41B2051UYYRVVOSSMP\ PJMMGJJFHHDFFBDDABB8996775553331118yU6lO4`I3OC1C69\ jm7ce6XZ5QS3KL2DE167MteKpbJl_HiYGeVFbSDZQCWNBSL9OI\ 8LFxU4yV4pQChLJ`HQTCYL7dD3kB2fA2b92Y81U67271Q51L41\ H30D208104Bq38f26W14L12A0O3FC17VfNSbLQ_JNXHLTFJQEG\ NCEJABG89D7795LWNIUUGS_DQeBPkJzlQzlXzmczmjznqznxzn\ xzixzdxz_tzaqzbmzcjzdgzeazaWzYQzULzQFzM9zI4zEFzXPz\ nIzeBzY4zQJzPXzPkzOyzOmzT } ///////////////////////////////////////////////////// \\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\ ///////////////////////////////////////////////////// FOTD -- February 24, 2011 (On_And_Off_TheStem) On_And_Off_TheStem { ; time=0:00:02.70-SF5 on P4-2000 reset=2004 type=mandel center-mag=-1.7857641506358\ 77/+0.00000001252263632/2.315613e+010/1/-160/0 params=0/0 float=y maxiter=5400 bailout=16 inside=0 logmap=579 periodicity=6 mathtolerance=0.05/1 colors=00000200300400500600700800900A00B00C00D00E1\ 1F22G33H44I55J66K77L88M99OAAPBBQCCRDDTEEUFFVGGWHHX\ IIZJJ_KK`LLaMMcNNdOOePPfQQgRRkSSlSUlTWlTYmU_mUamVc\ mVdnWfnWhnXjnXloYnoYpoYqoXnnWlmVjmUhlUflTdkSbkR_jQ\ YjQWiPUiOShNQhMOgMMgONjPOlQPnSQpTRrUStVSvXVtZXs__q\ aapcdndfmfikhkjinhkpgmsenudmtemtemtemsfmsfmsfmzimz\ lmzorzrvzuzzwzzzzzzUUUtCO5DgSJRICI969JC1E909604303\ EF3CT29L16E037uxsac`JKIV_nFIP`e`ILIglGTWAEG5MN_GHR\ BBI559pLMZEEH77lOw8am4JPOGdC8KB3c82U51K20ATOdJGR98\ DFBO75CxJDhE9U96F43l4QYYCMM8BB40aN0JBk7gO3MfHgSBTE\ 5EKb_DQO6DCt_SSIEY2IM1CB0684zq2iR1NH94B62531V2GK1A\ A05vDlg9_T6OE3CJnpCYZ6HHgioTUYEFHdcKKKAjfpNLQQMmDB\ PLpnFbaAQP5DCGg4AT25E1aXePMSCBEmVTPFEO4y8NL5FE277B\ plJAAC66633MwYEcM7KB2uU1fM1TF0E7DXB6G5TRzLKjEDV76F\ WiLLUEAF75aspDeZ8SH4EnHBFOF5cGzADGVWCNO8FG478QRRHI\ I899vu4TT2p5Nb3HQ2BD15Xcf } //////////////////////////////////////////////////// //////////////////////////////////////////////////// //////////////////////////////////////////////////// //////////////////////////////////////////////////// #### End of Jim's Feb 22-24, 2011 FOTD parm files #####

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Jim's Muth's Feb 21, 2011 FOTD text
by Hal Lane 26 Feb '11

26 Feb '11

Friends, Below is the "text" for Jim Muth's FOTD, for Feb 21, 2011. I had received this FOTD text from Jim on the "back channel" and had posted it on the FOTD web site previously, but had not forwarded on the Fractint list serve. Now that I have Jim's permission, here it is on the list serve. - Hal Lane ######################### # hallane(a)earthlink.net # ######################### ###### Jim's Feb 21, 2011 FOTD text ######################### FOTD -- February 21, 2011 (The_Bottomless_Pit -- Rating 5) Fractal visionaries and enthusiasts: I have been having some trouble lately getting Xmission to accept the FOTD's I send to the Fractint mailing list through Earthlink. Apparently, Xmission has put Earthlink on some kind of blacklist because of excess spam. We'll see how it goes. I have also created a new e-mail address, which I might or might not switch to, to cut down the amount of spam I receive. Today's image is a very quick one, showing a minibrot in the parent fractal that results when the formula Z^(1.1)+C is iterated 11 levels up the complex logarithmic hyperladder with no function applied. I can find little in the image to recommend, which leaves me with no choice but to rate it at an average 5. The calculation time is a very reasonable 43 seconds however. The minor task of setting up and running the parameter file may be avoided by going to the active FOTD web site at: http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html and viewing the finished image there, for all if anything it is worth. The classic FOTD web site may be found at: http://www.Nahee.com/FOTD/ Lots of sun with a temperature of 36F +2C made Sunday feel quite seasonable here at Fractal Central. But the forecast calls for snow late tonight. The fractal cats enjoyed the sun while it was shining. My day was quite busy getting some chores caught up. The next FOTD will be posted in 24 hours. Until then, take care, and where is the big breakthrough? Jim Muth jamth(a)mindspring.com START PARAMETER FILE======================================= The_Bottomless_Pit { ; time=0:00:43.11-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=MandelbrotBC3 function=ident inside=0 center-mag=-2.44794736/+2.79046077/1095/1/-90/0 params=1.1/0/11/525 float=y maxiter=1500 outside=imag periodicity=6 colors=000ZOZ`RYbUXdXXf_WhbVjeVlhUnkTomTZgUIaU2WU_\ tIWpKTmMQjOMfQJcSG`UDYVMVXUSZaP`iMbqJdyHfwIguJgtKh\ rLhqMioNimOjlPjjQkiRkgSlfSleRieRgeReeRceRadRZdRXdR\ VdRTdRRcROcRMcRKcRIcRG_UJWXLSZNsjoeVfTGYG1QL3SQ5UV\ 7V_9XdBZiD_nFarGblDcfBda9eW6fR4gL2hG0iV8phFvgIpgKj\ gMdgP_gRUgTOgVJnJfmLbmN_mPXmRTmTQmVNlXJlZGl`Dlb9ld\ 6lf3lg0cY4VP7MGAE7DI7FM7HQ7JT7LX7N`7Pc7RaBP_EOYHNW\ KMUOLSRKRUIPXHN`GLcFJfEHiDGlCKaQORcSHpLTiEdc7oYApW\ DqVGrTIrSLsQOtPQtNTuMWvKZwJ`wHcxGfyEhyDgxHgwLgvPgu\ SftWfs_frcfrfdmdcicbeb```_X_ZTZXOXWKWVGVUJWUMXUOYT\ RZTU_TW`TZaSabSccSfdRieRkfRngRphPqiNqjLrkJrlHrlFsm\ DsnBto9to7tp5uq3ur2ur8sqDrqIqpNopSnoXmoVllUljTlhSl\ fRlcQlaPl_OlYMkVLkTKkRJkPIkMHkKGkIFkGQfQ`bZkZhvVqs\ UqqTqoTqmSqkRqiRqfQqdQqbPq`OqZOqXNqVNq_QqcTqgWqcZp\ _apWdpSfpSgpShpRjqRkqRlqRmqRnqRoqRqrRrrRsrRtrRurRv\ rQsoPqmOnjNlhMjeLgcVI_XLZ } 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========================================= ###### End of Jim's Feb 21, 2011 FOTD text ##################

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Jim's Muth's Feb 26, 2011 FOTD text
by Hal Lane 26 Feb '11

26 Feb '11

Friends, Below is the "text" for the Jim Muth FOTD, Feb 26, 2011. I didn't see a post of his for Feb 26 making it through to the Fractint list serve as of right now, so I'm going ahead and posting the FOTD text that he got to me through the "back channel." With Jim's permission, here is his Feb 26, 2011 FOTD text: - Hal Lane ######################### # hallane(a)earthlink.net # ######################### ###### Jim's Feb 26, 2011 FOTD text ######################### FOTD -- February 26, 2011 (A_DeepDark_Mystery -- Rating 7.5) Fractal visionaries and enthusiasts: This FOTD will be coming through an indirect route. But I think the problem with the blocked e-mail direct to the Fractint list has been solved. Earthlink says it will take several days for me to regain access to xmission however, so I am still not claiming that the problem has ended. Today's rather striking image lies in the parent fractal that results when the simple formula Z^(1.5)+C is iterated 3 levels up the logarithmic ladder and no function is applied. This parent consists of a reasonably recognizable main bay with a disconnected fragment of a filament lying some distance to the southwest. Today's scene lies near a larger minibrot on this fragment. Most of the 'striking' effect is due to my coloring, which explains the extra half point I awarded to myself. The rather suggestive name 'A Deep Dark Mystery' refers to the location of the scene in its parent fractal. The calculation time of 2-1/2 minutes is almost blazingly fast, especially considering that the image is not a type=mandel, which I think uses machine language. Those who would rather not calculate may view the finished image on the FOTD web site 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/ Morning rain and afternoon wind marked Friday here at Fractal Central. The fractal cats didn't mind the rain, but they got a bit skittish when trash cans started blowing around in the after- noon. The temperature of 37F +3C was near normal for the day; the wind made it feel much colder however. The next FOTD is schedule to be posted in 24 hours. Until then, take care, and beware of fraudulent fractals. Jim Muth jamth(a)mindspring.com START PARAMETER FILE======================================= A_DeepDark_Mystery { ; time=0:02:30.10-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=MandelbrotBC3 function=ident center-mag=-0.9990997088247993/-0.8321559193735784\ /5.35472e+009 params=1.5/0/3/0 float=y maxiter=4500 inside=0 logmap=322 periodicity=6 colors=0008A89B9ACABDBCECDFDEGEFHFGIFHJGIKHJLIKMJL\ NKMOLNPLOQMPRNQSORTPSUQTVRSWSSXSRYTQZUP_VO`WNaXMbY\ McYLdZLe_Ke`Kf`JgaJgbIhbIicHidHjdGkeGkfFlfFmgEmhEo\ hDqiDskCumCvoFwqKxsPyuUzwZzxczyhzzmzzrzzzzzzzzcAmu\ iGfYCTN8EB49IL4UADg9YTKPLFUEAc75oFSdBFT8BJ57923NYV\ BHFqT4_J2I91YH`H8I8b29s9lEXW9MG4BHVWCNz8FG478ANj6F\ V37FFCLB9F76AW35pcjjVcVPRFCDANb9Ns52L21A9ZB6N73B3s\ `ieRYSINE9BL5RaJFJ97_dU`NyOFdC7KesaVeSLSJAE98ev6Vg\ 4LT2AEIJS99EnufPTLeSjVLZLENA7BLssASSmBMGhDAU85F4J4\ G9280H3081yqvd_bKIJszugkhHJHr6Sz4LR3ED171zo0VQ02F0\ 17HnhpKPQAC7Tk5L_3EO17CA7a53JL2`F1RA1I509mFmXAXG5G\ ri__UOIFCkPM_IGOCBC65P8pE_u9Oa4CJVoxFQUwZqUHRUlETZ\ OLQIEHC786lBW_8OO5GC28hyHUdBFK52Do18Y04HXK8MD5B62q\ yW`AVO6KC3AxcucQaKDJ1JFFXug2zX1jM1VB0FIZoDQb9HQ48D\ 0_n0Ra0IP09CZb9HJ4VRiNKYPvLRtLTqLVoLYlL_jLagLceLfc\ Lh`LjZLlWLoULqRLsPLuNLqRJ } 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========================================= ###### End of Jim's Feb 26, 2011 FOTD text ##################

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<Barry>Are you able to open the Feb FOTD page again?-Hal
by Hal Lane 25 Feb '11

25 Feb '11

Barry, You said: > BTW, Hal's February page wouldn't open this morning > (Australian time). Are you able to open the February FOTD page again? I don't seem to have problems here viewing the page in North Carolina, USA. My FOTD server is in Chicago, USA. Perhaps the packets got wet going across the Pacific... Or missed their satellite relay and went off into space. - Hal Lane ######################### # hallane(a)earthlink.net # #########################

2 1

Fwd: The incredible vanishing FOTD
by Lee H. Skinner 25 Feb '11

25 Feb '11

-------- Original Message -------- Subject: The incredible vanishing FOTD Date: Thu, 24 Feb 2011 09:42:54 -0500 From: Jim Muth <jimmuth(a)mindspring.com> To: skinner(a)thuntek.net Lee: Please forward this message to the Fractint list. The list will not accept my messages. Fractal fans: I AM, I repeat *AM* continuing to post the FOTD's to the list as I have been doing for 14 years. But instead of appearing on the list, they have been vanishing into the ether for several days. There is no problem here at Fractal Central. I joined the list from the business computer and sent a test message from the new machine. The test posting appeared back in the mail box of the original machine as expected. But the business machine is at a different location, and I cannot use it as the FOTD machine. The only hint I have is the following cryptic stuff that appeared in the header of the last FOTD that I received back from the list. If anyone can decipher it, maybe I will be able to solve the problem. (It looks like something somewhere along the line has been blacklisted for sending too much spam.) ======================================================= SMTP error from remote mailer after RCPT TO: <fractint(a)mailman.xmission.com>: host mx.xmission.com [166.70.12.20]: 550-XM-RJCT22: [207.69.200.58] is prohibited from connecting to XMission mail 550-servers due to high spam volume. See the following for more information:550 http://postmaster.xmission.com/senders/rbls.html?check_rbl= Submit&address=207.69.200.58 ======================================================= What the heck machine is 207.69.200.58? Jim (I'm still here) Muth

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Re: [Fractint] Arcade_Sound_Sampler.wmv
by Jay Litwyn 25 Feb '11

25 Feb '11

Bill Jemison mentioned a possible problem with my upload. I will check at the library later this morning, and if I find a problem, then I will upload from my USB key and notify the list when the problem is corrected. I do not hav the bandwidth to do that, now. If the problem turns out to be on Bill's end, then I think I also recently got some software for M4Vs, which means that I should consider putting those videos on my podcast. Last time I tried that format, M4V, I did not get near the compression ratio of a wmv, though, and my taste runs to choosing the best format, rather than supplying five. I think that is what Bill Gates is trying to do with WMV, uh, besides commoditize it in hardware under the HighMath name. AVI is actually at least ten different formats, each with codecs for you to download. DivX, for example, is one of them. Jemison also posted a variation that tries to use OPL and quantization. I never tried that, because I realized that connected orbits reprezent glides, which quantize on shelves or in chromatic runs. In other words, quantization does not accurately reflect continuous lines. For the heck of it, I did try the OPL without quantization. It was not as good to my ears as what is probably a very good simulation of the PC speaker. Since it is controlled by wave volume, and not FM, I am guessing that this PC speaker thing is a simulation, and I am getting woefully out of touch with what is under the hood in these things. Mandelcloud, with unquantized pitch, is among the things that inspired sample-wise, variable-length glides in my software synthesizer. I had intended in my last piece to use my own synthesizer with a just intonation and such glides, but Jemison's six part polyphony was much easier, and I could probably extend code in FRACTINT to do what I want more easily than extending my own very rudimentary soft-synth. Now that I've heard non-quantized sound from OPL, though, I wunder, and I suspect that my synth, especially under post-processing in Nero WaveEdit, would be a different flavour, plus I can connect orbits in any fractal type that creates output with orbitsave=yes. Maybe the difference is in the bitrate for OPL commands, which is probably not 1.4Mbps. _______ http://ecn.ab.ca/~brewhaha/Sound/

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Arcade_Sound_Sampler.wmv
by Jay Litwyn 25 Feb '11

25 Feb '11

http://ecn.ab.ca/~brewhaha/finance/Arcade_Sound_Sampler.wmv 1:24s at 536,398 kbps. Peak Variable Bit Rate (VBR) is 770kbps (I think). Is the OPL command set capable of panning? Arcade_Sampler { ; This works nicely under DOSbox. reset=2003 type=mandelcloud passes=1 center-mag=-0.5/0/0.6666667 params=-37 float=y maxiter=100 inside=0 periodicity=3 hertz=360 sound=x/pc/fm attack=1 decay=0 sustain=15 srelease=0 showorbit=yes orbitdelay=1 debug=4020 debug=70 } That's the version I wrote for a Pentium II, back in 2005. My video haz x on the left channel, and y on the right channel. Just about any mandelcloud with connected orbits will work to make fast, oscillating glides, although I think the sweet parts are on the right end. One thing I don't like about DOSbox: It does not seem to know how to automatically saturate one processor of a dual core: Saturating both cores without a programmer's intent should not even be attempted, because you will end up spending a lot of time saving state information. I suspect that DOSbox is running in debug mode, because when I manually adjust it towards saturating my processor: "cycles: 30000", it is still a lot slower than cmd.exe. It is great for capturing stuff, though. DOSbox is something Micro$oft should've written ten years ago. It emulates a soundblaster/OPL card, which is not my hardware. It emulates VESA BIOS, so that FRACTINT works above 360by480. It can capture audio and video, including a simulation of that old PC speaker. It supports a graphics window, so it does not need to switch into full screen mode to operate FRACTINT. It is configured by default with 16MB of EMS and XMS that fractint can use for either enabling users to shell out or for performance with that 2048 pixel square disk video mode, uh, whenever authors figure out how to efficiently spend more time slices. I can run CWSDPMI under DOSbox for the space that simplgif uses in its potential to make gigapixel imajez. It is under two megabytes, so it is not hours of downloading over dial-up. It has some keys for slowing itself down, in case a big batch job is consuming too much power. It comes off the net in one-click form; no wizards, no warnings, except when I installed the AVI codec. Overall, it is a wonderful environment, except when it comes to completely disabling code for downspeeding, so for now, I will run batch files with good old cmd.exe, and when I want to let my friends watch a tesseral rendering over a wmv, then I hav no other way than DOSbox. _______ http://ecn.ab.ca/~brewhaha/ Organized Babble

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Open_sOrserOr.wmv
by Jay Litwyn 25 Feb '11

25 Feb '11

http://ecn.ab.ca/~brewhaha/finance/Open_sOrserOr.wmv - - Derivative works encourajed. I owe Bill Jemison for a scale mapping in "The Sorceress". In fact, all I did to his sound-screen parameters was turn off my PC speaker. You might prefer a strong beat with the PC speaker on. The eight in main (z-screen) parameters is mine, and so is an iteration limit of two, to make the music's length reasonable, when, like a lot of synthetic music, a beginning, middle and end are not all that clear. My audio and video are very different. I turned off viewwindows (downscaling), and increased an iteration limit to 740 to get video. I forget whether x is on left or right, and y is on the opposite side. Audio would go on for months under the video limits. Open_sOrserOr.wmv { ; -CC- Released in a creative commons. ; -BY- BrewJay's Babble Bin ; -NC- Some commercial echos need permission. ; -NC- Copies on optical disk must be gifts. ; Fractint Version 2004 Patchlevel 4 reset=2004 type=chip passes=1 center-mag=0/0/0.001754386 params=-15/-19/8 float=y maxiter=2 viewwindows=12/0.75/yes/0/0 cyclerange=1/1 hertz=-200 sound=x/fm/quant attenuate=mid attack=9 decay=8 sustain=14 srelease=10 scalemap=1/4/4/8/8/4/1/4/8/4/4/1 orbitdelay=1000 showorbit=yes colors=(a)order.map } If it was not highlighted, I would've forgotten about http://ecn.ab.ca/~brewhaha/finance/order.map _______ http://ecn.ab.ca/~brewhaha/ BrewJay's Babble Bin Reality is a crutch for people who cannot face up to quantum physics.

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Jim's Muth's Feb 25, 2011 FOTD text
by Hal Lane 25 Feb '11

25 Feb '11

Friends, Jim has been getting FOTD info to me thru a "back channel" and I've been putting that onto the FOTD web site. However, my most recent email to him at: jamth(a)mindspring.com bounced, so I can't communicate bi-directionally with him currently. So, in light of this, and his problems in posting to the Fractint list serve, I'm taking it on my own initiative -- without getting Jim's permission -- to post the Feb 25 FOTD text (below) that I received from him thru the back channel. - Hal Lane ######################### # hallane(a)earthlink.net # ######################### ###### Jim's Feb 25, 2011 FOTD text ######################### FOTD -- February 25, 2011 (A_Very_Quick_Dip -- Rating 6) Fractal visionaries and enthusiasts: Today's image is the third consecutive one based on the same theme, making it worth a point or so under what would otherwise be the case. The scene is in the basin of a larger minibrot in the East Valley area of the large minibrot on the largest star-filament of the period-7 bud on the northeast shore line of the main bay of the Mandelbrot set. The finished image may be accessed at: http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html The original web site may be accessed at: http://www.Nahee.com/FOTD/ Clouds and sprinkles of rain kept a damper on things here at Fractal Central on Thursday. The fractal cats spent most of the day watching two stray cats prowling in the back yard. My day was busy, but I have seen worse. The next FOTD will be posted in 24 hours. Whether it makes it to the list is another question. Jim Muth jamth(a)mindspring.com START PARAMETER FILE======================================= A_Very_Quick_Dip { ; time=0:00:04.23-SF5 on P4-2000 reset=2004 type=mandel center-mag=+0.4048728320090\ 082/+0.1454467522941611/2.79e+012/1/-152.5/0 params=0/0 float=y maxiter=7500 bailout=16 inside=0 logmap=1068 periodicity=6 mathtolerance=0.05/1 colors=000AAQAAQAAPAAPAAOAAOAAOAANAANAANAAMAAMAALA\ BMABMACMACMADMADNAENAENAFNAFNAFOAGOAGOAHOAHOAIOAIP\ AJPBJPCKPDKPEKQFLQGLQHMQIMQJNRKNRLORMORNPROPRPPSQQ\ SRQTSRUTRVUSWVSXWTYXTZYU_ZU`_Ua`VbaVcbWccWcdXceYcf\ Zcg_ch`ciacjbckcckdcleclfcmgdmhenifnjgokhpliqmjsmk\ smltmmumovmqwmsxmuyowzqyztzzwzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzPpQRnQT\ lPVjPXgPZeOacOcaNeZNgXNiVMkTMmRMiTMfUMbWM_XMXZMT_M\ QaMNbMJdMGeMDgM9hM6jM3kM9hKFfILdHRaFX_EbYChVAS`WUe\ RR`POWNLRLIMJFII_ZAmM3fF5_27g9AnGCoNEpUHq`JqgLniKN\ RgQWa6EF7IM9LSAPPCSMDWJF_GKbKUfUcichrmmztmzzmzzmzz\ mzzmzzmtzUG6TP7SU8RY8Sb9UaAZaBcaCzmCzcFzUIzQLsMOqI\ RpFTkJRfMQaPPXSOSVNOYLJ`KEcJ9fI4iH0lG1mJ2nM3oP3pS4\ qV5rY6s`6sc7tf8ui9vl9woAxrByuBzxEzsJznPziUzdZz_czV\ hzQmzLrzHvzIzzIzzIzzIzzIzzJzzJzzJzzJzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzz } END PARAMETER FILE========================================= ###### End of Jim's Feb 25, 2011 FOTD text ################

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Test FOTD...(Barry Smith Inquiry)
by Jay Litwyn 24 Feb '11

24 Feb '11

Author: Susan Brown Date: 2011-02-23 12:16 -700 To: fractint Subject: [Fractint] Test FOTD (snip) What followed was what I came to expect from Jim Muth, Barry, except it was a verbatim repeat. It looks like he dictated it to Susan Brown, and signed it at the end, except in this test, there is no explanation for the gap, nor is there any indication that he was going to hire an editor. I think Jim has made gaps in his work for "antiquing expeditions", before. So, I am as confused as you are. Five days are an exceptional delay.

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Problems receiving FOTD
by Barry Smith 24 Feb '11

24 Feb '11

Fellow fractal enthusiasts: I have been subscribed to this list since April 1998 and while I have been a lurker have greatly enjoyed the FOTD (Thanks, Jim). Can anyone please explain why I have received no FOTD since 20 February? I know that there have been some because they have been on Hal Lane's web site (Thanks, Hal). Meanwhile, there have been over a dozen other messages. I use Thunderbird, and have checked my filters. I have also checked that Jim Muth, fractint-bounces(a)mailman.xmission.com <mailto:fractint-bounces@mailman.xmission.com> and fractint(a)mailman.xmission.com <mailto:fractint@mailman.xmission.com> are all in my Address Book and hence white-listed. In addition, my ISP says if it thinks a message is a scam; this hasn't happened. I am puzzled. *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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Re: [Fractint] Autumn Lilypads
by JackOfTradeZ＠comcast.net 23 Feb '11

23 Feb '11

. Autumn Lilypads Awesome!!! Now lemme see what I can do with that ...... .

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Test FOTD
by Susan Brown 23 Feb '11

23 Feb '11

FOTD -- February 20, 2011 (Rating 5) Fractal visionaries and enthusiasts: An antiquing expedition did happen on Saturday, and it left very little time for a proper fractal search. However, I did manage to find an acceptable image, (rated a 5), in the parent fractal that results when the formula Z^(1.99)+C is iterated just one level up the complex logarithmic hyper-spiral and no function is applied. On its surface, this parent appears to be a normal everyday Mandelbrot set that has been rotated so that its main spike faces northeast instead of west. But problems arise on the negative X-axis, which in today's parent cuts through what is normally the southeast shore line of the main bay. Today's image lies in the mess of discontinuities in this small area. As would be expected, the image consists mostly of discontinui- ties. The name "Out of Order" refers to the fact that it is not normal for the negative X-axis to cut through the southeast shore line of the main bay of the M-set. The calculation time of 3-1/2 minutes may be cut to 2-1/2 minutes by resetting the passes to 'g', but doing so will cause some of the finer detail to be missed. Both speed and accuracy may be achieved by viewing the finished image on the current FOTD web site at: <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> The original web site with all the past FOTD images may be accessed at: <http://www.Nahee.com/FOTD/> Lots of clouds, a strong northwest wind and a steadily falling temperature made Saturday anything but enjoyable here at Fractal Central. When the temperature dropped below freezing late in the afternoon, the fractal cats took to their shelf over the heat, where they enjoyed a comfortable evening. FL and I spent most of the day on an antiquing expedition. With the work just about caught up, the rest of the day was unevent- ful. The next FOTD will be posted in 24 hours. Until then, take care, and be satisfied with less than everything. Jim Muthjamth(a)mindspring.com START PARAMETER FILE======================================= Out_of_Order { ; time=0:03:33.75-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=MandelbrotBC3 function=ident passes=1 center-mag=-0.58310178265/+0.00224032835/223521/1\ /-105/0 float=y params=1.99/0/1/0 logmap=107 maxiter=1750 inside=0 colors=000EJK9DD466I6mF5fD4`B3V93P62I41C206oUYiQUc\ NQYKMSGINDFHABB67533VTuSQpQOlNMgLKcJHZGFVEDQBBM98H\ 76D4482243tP2lL2eI1ZF1SC1L90E6073NfhIY_DPR9HI489z3\ ku2gq2dm2ai2Ze2W`1SX1PT1MP1JL1GG0CC09806403uvdqram\ nZjjXfgUbcS__PWXNTTKPPHLMFIICEEAAB7775332`7nB3lLpl\ JlhIheGebFaZEZWCVTBSQ9OM8LJ7HG5ED4A9276133FDnA8Y54\ H`P3YN2WL2TK2RI2OG2MF1JD1HB1EA1C81960750430210x8Ts\ 7Qn6Oi6Me5K`4HW4FS3DN3BI28E1691440264X53U43R42O32L\ 32I21F21C1191060038vk6lc5bW4TO2JGdAN`BJYBFRAMLATEA\ _8AeNPlacrorxjntfkpbhlYehUbdQ_aItsKmnLfiM_eOT`PMWQ\ FS865D7EirpU_ZFIHry9nt8jp7gl7ch6_d6X`5TX4PS4MO3IK3\ EG2BC1781340guSZiMQYGHNB8B55ld4g`4cY3_U3WR2SN2OK2K\ H1GD1CA086043kVD_N9OF6C73gsoXebMZQBcDdhXZmSTrNNvIH\ zEBz95z4SzdQzaOzZMzWKzUIzRGzOzzLzzJzzGzzDzzAzz8zz5\ zz2zzzzzzzzQzzzzzTzzzzz0zzzzzzzzzzzzzzzzzzzzzzzzzz\ 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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Subscription test
by Susan Brown 23 Feb '11

23 Feb '11

This is a test to see if the subscription worked. Jim Muth

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Micro$oft marjinally supports EMS, XMS, and DPMI.
by Jay Litwyn 23 Feb '11

23 Feb '11

David said: There's also an assortment of DOS extenders which maybe could help? <http://www.thefreecountry.com/programming/dosextenders.shtml> There is an XMS 3.01 specification. Windows XP does not deliver it, even though it was designed long before XP. It supports more than 64meg of RAM (or is the limit on XMS blocks set at 16meg?) with what it calls SXMS blocks. Curiously, DOS 6.22 delivers XMS 3.01, and so does OpenDOS. There is also a DPMI (DOS Protected Mode Interface) 1.0 specificaion (32bit), and Windows only supports version 0.9, which does not include everything you might want to do with a thirty-two bit API. That looks like planned obsolescence to me. There is a GDI+ environment that runs under Windows, and I had or hav a package that requires it. I think the jee stands for gnome: It is designed to port into X-Windows. Half of the trick of programming for a Graphical Application Programmer's Interface (GAPI) is finding the best documentation for it, whether tutorial or reference manual. If you are lucky, someone figured out what best documentation means and donated it to your local library. Beyond that, there is a Software Development Kit (SDK), and a Device Development Kit (DDK). I think the SDK comes with a lot of commercial compilers. I asked about the DDK for Windows 3.1 in 1993. It was over six hundred dollars. DDKs are the only place I know of where M$ bows to open source. IOW, they provide source code for exemplary device drivers. In the open source world, there is DOSbox, so one might be able to figure out how to patch some code from that into winfract for sound. Then again, if you will do that much, then you might as well patch in the code for making DOS sessions into an AVI, and the bit about recording OPL as a wav file, too. Okay...so now I do not know what I want the fractint team to work on, because DOSbox is basically a DOS extender, and there might be a lot of programs that someone might want to record. I am leaning towards linking to DOSbox on the FracTint web page, and if anyone wants to deliver FRACTINT on disk, DOSbox should be included. Oh, and cwsdpmi, too, because DOSbox does not do DPMI. Heh...just ran MSD under DOSbox. It supports XMS driver version 3.01, whereas cmd.exe only supports 2.77. Functionality over performance. _______ QUANDO OMNI FLUNKUS MORITATI (when all else fails, play dead)

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Re: [Fractint] Arcade_Sound_Sampler.wmv
by Jay Litwyn 23 Feb '11

23 Feb '11

I said "1:24s at 536,398 kbps". Actually, that is bps. I believe that is about half the bandwidth on DSL, so realtime on DSL, if traffic allows. http://ecn.ab.ca/~brewhaha/finance/Arcade_Sound_Sampler.wmv I am not sure about DSL-light.

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Autumn Lilypads
by Mike Frazier 22 Feb '11

22 Feb '11

Here is a link to a web page with an image: http://www.fracton.org/fmlposts/autumn_lilypads.html I used the Epicycloid_Mset formula to make this image. The thickness of the curve is adjusted to be so thick that the curve is filled in and turned into a "lily pad". The parameter file used to make this image is below: Autumn_Lilypads { ; Exported from Fracton. reset=2004 type=formula formulafile=fracton.frm formulaname=Epicycloid_Mset passes=1 float=y center-mag=-0.736775091553311/0.2424716796875001/1\ 33.333335/1/0/0 params=0.04/0.15/5/30/8/0.25/0/0/0/0 maxiter=500 inside=255 outside=summ colors=000fOz<28>I0Kz0f<28>O08z88<28>O00zW0<28>c40\ zz0<28>aG00zR<28>0C40zz<28>0CCGGz<28>00O000<12>000\ z88 } frm:Epicycloid_Mset { ; Epicycloid_Mset based on Astroid_Mset ; Astroid_Mset copyright (c) Paul W. Carlson, 1997 ; Epicycloid_Mset by Mike Frazier, 2011 ;**************************************************** ; Always use floating point math and outside=summ. ; ; Parameters: ; real(p1) = a factor controlling the width of the curves ; imag(p1) = radius of the curve ; real(p2) = number of color ranges ; imag(p2) = number of colors in each color range ; real(p3) = number of cusps, even integers ; imag(p3) = cusp amplitude (0 to 1) ; ; Note that the equation variable is w, not z. ; Initialize cindex to the index of the background color ; Formula modified to avoid color index 0 which can not ; be used with outside=summ in FractInt v20.04 ;**************************************************** w=0, c=pixel, z=0, cindex=254,; Background color bailout=0, iter=0, range_num=0, i=(0,1), r=imag(p1), f=real(p3)+1, b=imag(p3), ;**************************************************** ; In the accompanying par file, ; we have 8 color ranges with 30 colors in each range ; for a total of 240 colors. The first range starts at ; color 1. Pixels will use color 254 when |w| > 1000. ; Other values can be used here as long as the product ; of num_ranges times colors_in_range is less than 255. ; Color 254 is reserved for the background color and ; color 255 can be used for the inside color. ;**************************************************** num_ranges=real(p2), colors_in_range=imag(p2), ;**************************************************** ; Real(p1) controls the width of the curves. ; These values will usually be in the range 0.001 to 0.1 ;**************************************************** width=real(p1), index_factor=(colors_in_range-1)/width: ;**************************************************** ; The equation being iterated. Almost any equation ; that can be expressed in terms of a complex variable ; and a complex constant will work with this method. ; This example uses the standard Mandelbrot set equation. ;**************************************************** w=w*w+c, ;**************************************************** ; The orbit trap curve is an epicycloid. ; Any two-dimensional curve can ; be used which can be expressed in parametric form in ; terms of the angle from the origin. ;**************************************************** ang=atan(imag(w)/real(w)), astroid=r*(cos(ang)-b*cos(f*ang)+i*(sin(ang)-b*sin(f*ang))), ;**************************************************** ; If the orbit point is within some distance of the curve, ; set cindex to the index into the colormap and set the bailout ; flag. Note: the way we use the "distance" here has ; the effect of turning the curves inside-out in the image. ;**************************************************** distance=abs(|w|-|astroid|), if(distance<width&&iter>1), cindex=index_factor*distance+range_num*colors_in_range+1, bailout=1, endif, ;**************************************************** ; Cycle through the range numbers (0 thru num_ranges - 1) ; With two color ranges, even iterations use color ; range 0, odd iterations use color range 1. ;**************************************************** range_num=range_num+1, if(range_num==num_ranges), range_num=0, endif, ;**************************************************** ; Since we are using outside=summ, we have to subtract ; the number of iterations from z. ;**************************************************** iter=iter+1, z=cindex-iter, ;**************************************************** ; Finally, we test for bailout ;**************************************************** bailout==0&&|w|<1000 } -- Mike Frazier www.fracton.org

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Astroid_Mset Part 4
by Mike Frazier 22 Feb '11

22 Feb '11

Below is a link to a webpage with images. http://www.fracton.org/fmlposts/astroid_mset_p4.html Astroid_Mset Part 4 - Changing the orbit trap curve In this installment we will change the orbit trap curve from an astroid to an epicycloid. An epicycloid is a circle with bumps on it. I rewrote the formula for an epicycloid so that you can enter the number of cusps and the amplitude of each cusp. These values are changeable in parameter p3 with the real(p3) = number of cusps and imag(p3) = cusp amplitude. The number of cusps should be an even number. If you make the cusp amplitude = 0 you get a circle for the curve. If you want to see the details of the code you can examine the parameter file below. If you are looking for a good source of curves to put in the formula you might try the book A Catalog of Special Plane Curves by J. Dennis Lawrence. It has hundreds of curves complete with illustrations and the parametric form that you need for this formula. I did run into a few issues that will limit the curves that you can use here. It appears that the distance calculation removes loops in the curve in addition to turning them inside out. It might be possible to overcome this limitation but it wasn't obvious to me how to do it. To make more interesting images it is usually better to have more overlap between the curves. To get that, you need a place where there are a lot of minbrots that are close together and all at nearly the same depth. One place where this occurs is in the arms of spirals as in the above image. I did a short animation of changing the number of cusps in the epicycloid. There is a Quicktime and a Flash version of the animation. Quicktime Movie 4.3 MB http://web.me.com/gigagraphica/fimage/epicycloid.mov Flash Animation 26.2 MB http://web.me.com/gigagraphica/fimage/epicycloid.swf This completes the things I tried with the Astroid_Mset. I hope other people get a chance to experiment with this great formula. The parameter file for the image is below: Epicycloid { ; Exported from Fracton. reset=2004 type=formula formulafile=fracton.frm formulaname=Epicycloid_Mset passes=1 float=y center-mag=-0.727258489990811/0.2427890625/189.629\ 632/1/0/0 params=0.02/0.25/8/30/8/0.25/0/0/0/0 maxiter=500 inside=255 outside=summ colors=000fOz<28>I0Kz0f<28>O08z88<28>O00zW0<28>c40\ zz0<28>aG00zR<28>0C40zz<28>0CCGGz<28>00O000<12>000\ z88 } frm:Epicycloid_Mset { ; Epicycloid_Mset based on Astroid_Mset ; Astroid_Mset copyright (c) Paul W. Carlson, 1997 ; Epicycloid_Mset by Mike Frazier, 2011 ;**************************************************** ; Always use floating point math and outside=summ. ; ; Parameters: ; real(p1) = a factor controlling the width of the curves ; imag(p1) = radius of the curve ; real(p2) = number of color ranges ; imag(p2) = number of colors in each color range ; real(p3) = number of cusps, even integers ; imag(p3) = cusp amplitude (0 to 1) ; ; Note that the equation variable is w, not z. ; Initialize cindex to the index of the background color ; Formula modified to avoid color index 0 which can not ; be used with outside=summ in FractInt v20.04 ;**************************************************** w=0, c=pixel, z=0, cindex=254,; Background color bailout=0, iter=0, range_num=0, i=(0,1), r=imag(p1), f=real(p3)+1, b=imag(p3), ;**************************************************** ; In the accompanying par file, ; we have 8 color ranges with 30 colors in each range ; for a total of 240 colors. The first range starts at ; color 1. Pixels will use color 254 when |w| > 1000. ; Other values can be used here as long as the product ; of num_ranges times colors_in_range is less than 255. ; Color 254 is reserved for the background color and ; color 255 can be used for the inside color. ;**************************************************** num_ranges=real(p2), colors_in_range=imag(p2), ;**************************************************** ; Real(p1) controls the width of the curves. ; These values will usually be in the range 0.001 to 0.1 ;**************************************************** width=real(p1), index_factor=(colors_in_range-1)/width: ;**************************************************** ; The equation being iterated. Almost any equation ; that can be expressed in terms of a complex variable ; and a complex constant will work with this method. ; This example uses the standard Mandelbrot set equation. ;**************************************************** w=w*w+c, ;**************************************************** ; The orbit trap curve is an epicycloid. ; Any two-dimensional curve can ; be used which can be expressed in parametric form in ; terms of the angle from the origin. ;**************************************************** ang=atan(imag(w)/real(w)), astroid=r*(cos(ang)-b*cos(f*ang)+i*(sin(ang)-b*sin(f*ang))), ;**************************************************** ; If the orbit point is within some distance of the curve, ; set cindex to the index into the colormap and set the bailout ; flag. Note: the way we use the "distance" here has ; the effect of turning the curves inside-out in the image. ;**************************************************** distance=abs(|w|-|astroid|), if(distance<width&&iter>1), cindex=index_factor*distance+range_num*colors_in_range+1, bailout=1, endif, ;**************************************************** ; Cycle through the range numbers (0 thru num_ranges - 1) ; With two color ranges, even iterations use color ; range 0, odd iterations use color range 1. ;**************************************************** range_num=range_num+1, if(range_num==num_ranges), range_num=0, endif, ;**************************************************** ; Since we are using outside=summ, we have to subtract ; the number of iterations from z. ;**************************************************** iter=iter+1, z=cindex-iter, ;**************************************************** ; Finally, we test for bailout ;**************************************************** bailout==0&&|w|<1000 } -- Mike Frazier www.fracton.org

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Fractint for Windows
by Brian Prentice 21 Feb '11

21 Feb '11

I've just noticed that Hal Lane uses "Fractint for Windows beta 5" to publish Jim Muth's FOTD. Does this program run under Windows 7? Can the size of the control window be changed or set to full screen mode? Brian Prentice

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Astroid Mset Part 3
by Mike Frazier 21 Feb '11

21 Feb '11

Below is a link to a webpage with images. http://www.fracton.org/fmlposts/astroid_mset_p3.html Astroid_Mset Part 3 - Astroid Of The Far North In this installment we will see what happens when the Astroid_Mset is applied to The_Far_North, Jim Muth's Fractal Of the Day for January 14, 2011. Setting the center of the image, zooming in to the required depth, and tweaking a few parameters generated the above image. You can see the purple asteroid ring has period doubled twice since it has 16 lobes. The astroids are much further from the minibrot in this image than the one in Part 1. I think the shallowest minibrots in the image are located inside the biggest astroids. It doesn't appear that there is a minibrot at the center of any of the spirals although the spiral arms have plenty. The noise in the image is from tiny astroids surrounding an infinite number of unresolved minibrots. The 8 lobe astroid can be found by zooming out to a magnification of 1.2E10 and the 4 lobe is at 3.8E8. You can compare this image to Jim's original at: http://www.emarketingiseasy.com/TESTS/FOTD/F110114f.gif In Part 4 we will experiment with a new shape. The parameter file used to generate the image is below: Astroid_OTFN_16 { ; Exported from Fracton. reset=2004 type=formula formulafile=fracton.frm formulaname=Astroid_Mset_v2 passes=1 float=y center-mag=-0.128183294678311/0.649523014799861/19\ 3002911147.3112/1/120/0 params=0.003/0.12/8/30/0/0/0/0/0/0 maxiter=250000 inside=255 outside=summ colors=000fOz<28>I0Kz0f<28>O08z88<28>O00zW0<28>c40\ zz0<28>aG00zR<28>0C40zz<28>0CCGGz<28>00O000<12>000\ z88 } frm:Astroid_Mset_v2 { ; Copyright (c) Paul W. Carlson, 1997 ; Modified for compatibility with Fractint 20.04 and ; Fracton by Mike Frazier, 2011 ;**************************************************** ; Always use floating point math and outside=summ. ; ; Parameters: ; real(p1) = a factor controlling the width of the curves ; imag(p1) = radius of the astroid ; real(p2) = number of color ranges ; imag(p2) = number of colors in each color range ; ; Note that the equation variable is w, not z. ; Initialize cindex to the index of the background color ; Formula modified to avoid color index 0 which can not ; be used with outside=summ in FractInt v20.04 ;**************************************************** w=0, c=pixel, z=0, cindex=254,; Background color 254 bailout=0, iter=0, range_num=0, i=(0,1), r=imag(p1), ;**************************************************** ; In the accompanying par file, ; we have 8 color ranges with 30 colors in each range ; for a total of 240 colors. The first range starts at ; color 1. Pixels will use color 254 when |w| > 1000. ; Other values can be used here as long as the product ; of num_ranges times colors_in_range is less than 255. ; Color 254 is reserved for the background color and ; color 255 can be used for the inside color. ;**************************************************** num_ranges=real(p2), colors_in_range=imag(p2), ;**************************************************** ; Real(p1) controls the width of the curves. ; These values will usually be in the range 0.001 to 0.1 ;**************************************************** width=real(p1), index_factor=(colors_in_range-1)/width: ;**************************************************** ; The equation being iterated. Almost any equation ; that can be expressed in terms of a complex variable ; and a complex constant will work with this method. ; This example uses the standard Mandelbrot set equation. ;**************************************************** w=w*w+c, ;**************************************************** ; The orbit trap curve. This example uses an "astroid" ; curve (which has absolutely nothing to do with huge ; rocks in outer space). Any two-dimensional curve can ; be used which can be expressed in parametric form in ; terms of the angle from the origin. ;**************************************************** ang=atan(imag(w)/real(w)), astroid=r*(cos(ang)^3+i*sin(ang)^3), ;**************************************************** ; If the orbit point is within some distance of the curve, ; set z to the index into the colormap and set the bailout ; flag. Note: the way we use the "distance" here has ; the effect of turning the curves inside-out in the image. ;**************************************************** distance=abs(|w|-|astroid|), if(distance<width&&iter>1), cindex=index_factor*distance+range_num*colors_in_range+1, bailout=1, endif, ;**************************************************** ; Cycle through the range numbers (0 thru num_ranges - 1) ; With two color ranges, even iterations use color ; range 0, odd iterations use color range 1. ;**************************************************** range_num=range_num+1, if(range_num==num_ranges), range_num=0, endif, ;**************************************************** ; Since we are using outside=summ, we have to subtract ; the number of iterations from z. ;**************************************************** iter=iter+1, z=cindex-iter, ;**************************************************** ; Finally, we test for bailout ;**************************************************** bailout==0&&|w|<1000 } -- Mike Frazier www.fracton.org

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Astroid Mset Part 2
by Mike Frazier 20 Feb '11

20 Feb '11

Below is a link to a webpage with images. In this case it will be easier to follow the text if you can see the images. The parameter file is the same as Part 1: http://www.fracton.org/fmlposts/astroid_mset_p2.html Astroid_Mset Part 2 - Parameters and Modifications The main parameters that need to be adjusted are the width (real part of p1) and radius (imaginary part of p1). In order to get the formula to work properly, the parameters need to be within a range that avoids a few pitfalls. The width adjusts the thickness of the curves. If the width is too thick the curve will be totally filled in and not an astroid at all. The radius adjusts the overall size of the curves. If the radius is too small the curve will also be filled in. If the radius is too big what usually happens is an astroid from somewhere off the screen obscures the area you are trying to see. If you get a solid color screen try reducing the radius to see if that fixes the problem. The other parameters in p2 allow you to match the color table with the formula. You will never need to adjust these unless you want to change the number of color ranges in the color table. The image mosaic at the top shows what happens when you adjust the radius between 0.6 at the top left and 0.1 at the bottom right in increments of 0.1. Our image from yesterday is the one in the upper right. The upper left tile shows a red astroid that has come into the image from the left and is overlapping the minibrot in the center. Notice that the red curve is much thicker that our yellow astroid. A lot of the time a very thick offscreen astroid covers the entire image. As you can see from the images across the top the red astroid moves out of the way as you reduce the radius. The center image on the bottom is a noteworthy case. When you adjust the radius and width to just the right values, the tips of the astroid elongate and touch the center of the minibrot. This is useful for zooming into a minibrot you can't see. The bottom right case shows when the radius is just too small for the width you are using. Either increase the radius or reduce the width. Now a quick explanation of why I changed the Astroid_Mset formula. There was a change to FractInt after version 19.6 that affected the clamping for several of the coloring methods including outside=summ that is used by this formula. The result of the clamping change causes the background color to be assigned to color index 1 instead of the intended color index 0. Color index 1 is already used for one of the astroid color ranges. I changed the formula so that it moves the background color to the unused index 254 to avoid this problem. It is fair to mention that the original formula would work if you run it with the old version number as reset in the parameter file. But, if you look through the mail list archives, you will find several cases where people posted the old formula with the new version. So I thought it was worth updating the formula to use the conventions of the latest FractInt version. In Part 3 we will see what happens when the Astroid_Mset is applied to one of Jim Muth's Fractal Of the Day images. -- Mike Frazier www.fracton.org

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Astroid Mset Part 1
by Mike Frazier 20 Feb '11

20 Feb '11

I remember when I first saw one of Paul Carlson's synthetic coloring methods and I was impressed with how it created a 3D visual effect. I picked the Astroid_Mset formula and spend a little time experimenting with the algorithm to try to figure out how it worked. Along the way, I stumbled upon some curious things. I also got to make a few nice images. There was way too much to fit in one post so I decided to break it up in bite sized parts. Part 1 - A Minibrot Detector I will start off with one of the curious things. This formula is a minibrot detector. I mean it draws a big astroid shape around every minibrot in the image. You can adjust the relative size of the astroid versus the size of the minibrot. The yellow shape in the image has four lobes and is the inside out astroid shape surrounding the largest minibrot in the center of the image. Notice that inside the yellow astroid is a magenta period doubled astroid with 8 lobes. As you look toward the center you can see a 16 and 32 lobe astroid before they get too small to see. All the other astroids in the image surround other minibrots that are too small to see. Here is a link to a webpage with an image and a parameter file: http://www.fracton.org/fmlposts/astroid_mset_p1.html In Part 2 I will talk about the formula parameters and why I modified the formula. If you would prefer to draw the image yourself the parameter file is included below: Astroid_Basic { ; Exported from Fracton. reset=2004 type=formula formulafile=fracton.frm formulaname=Astroid_Mset_v2 passes=1 float=y center-mag=-1.626230169678311/0/29.62963/1/0/0 params=0.01/0.4/8/30/0/0/0/0/0/0 maxiter=500 inside=255 outside=summ colors=000fOz<28>I0Kz0f<28>O08z88<28>O00zW0<28>c40\ zz0<28>aG00zR<28>0C40zz<28>0CCGGz<28>00O000<12>000\ z88 } frm:Astroid_Mset_v2 { ; Asteroid_Basic.par ; Copyright (c) Paul W. Carlson, 1997 ; Modified for compatibility with Fractint 20.04 and ; Fracton by Mike Frazier, 2011 ;**************************************************** ; Always use floating point math and outside=summ. ; ; Parameters: ; real(p1) = a factor controlling the width of the curves ; imag(p1) = radius of the astroid ; real(p2) = number of color ranges ; imag(p2) = number of colors in each color range ; ; Note that the equation variable is w, not z. ; Initialize cindex to the index of the background color ; Formula modified to avoid color index 0 which can not ; be used with outside=summ in FractInt v20.04 ;**************************************************** w=0, c=pixel, z=0, cindex=254,; Background color 254 bailout=0, iter=0, range_num=0, i=(0,1), r=imag(p1), ;**************************************************** ; In the accompanying par file, ; we have 8 color ranges with 30 colors in each range ; for a total of 240 colors. The first range starts at ; color 1. Pixels will use color 254 when |w| > 1000. ; Other values can be used here as long as the product ; of num_ranges times colors_in_range is less than 255. ; Color 254 is reserved for the background color and ; color 255 can be used for the inside color. ;**************************************************** num_ranges=real(p2), colors_in_range=imag(p2), ;**************************************************** ; Real(p1) controls the width of the curves. ; These values will usually be in the range 0.001 to 0.1 ;**************************************************** width=real(p1), index_factor=(colors_in_range-1)/width: ;**************************************************** ; The equation being iterated. Almost any equation ; that can be expressed in terms of a complex variable ; and a complex constant will work with this method. ; This example uses the standard Mandelbrot set equation. ;**************************************************** w=w*w+c, ;**************************************************** ; The orbit trap curve. This example uses an "astroid" ; curve (which has absolutely nothing to do with huge ; rocks in outer space). Any two-dimensional curve can ; be used which can be expressed in parametric form in ; terms of the angle from the origin. ;**************************************************** ang=atan(imag(w)/real(w)), astroid=r*(cos(ang)^3+i*sin(ang)^3), ;**************************************************** ; If the orbit point is within some distance of the curve, ; set z to the index into the colormap and set the bailout ; flag. Note: the way we use the "distance" here has ; the effect of turning the curves inside-out in the image. ;**************************************************** distance=abs(|w|-|astroid|), if(distance<width&&iter>1), cindex=index_factor*distance+range_num*colors_in_range+1, bailout=1, endif, ;**************************************************** ; Cycle through the range numbers (0 thru num_ranges - 1) ; With two color ranges, even iterations use color ; range 0, odd iterations use color range 1. ;**************************************************** range_num=range_num+1, if(range_num==num_ranges), range_num=0, endif, ;**************************************************** ; Since we are using outside=summ, we have to subtract ; the number of iterations from z. ;**************************************************** iter=iter+1, z=cindex-iter, ;**************************************************** ; Finally, we test for bailout ;**************************************************** bailout==0&&|w|<1000 } -- Mike Frazier www.fracton.org

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FOTD 20-02-11 (Out of Order [5])
by Jim Muth 20 Feb '11

20 Feb '11

FOTD -- February 20, 2011 (Rating 5) Fractal visionaries and enthusiasts: An antiquing expedition did happen on Saturday, and it left very little time for a proper fractal search. However, I did manage to find an acceptable image, (rated a 5), in the parent fractal that results when the formula Z^(1.99)+C is iterated just one level up the complex logarithmic hyper-spiral and no function is applied. On its surface, this parent appears to be a normal everyday Mandelbrot set that has been rotated so that its main spike faces northeast instead of west. But problems arise on the negative X-axis, which in today's parent cuts through what is normally the southeast shore line of the main bay. Today's image lies in the mess of discontinuities in this small area. As would be expected, the image consists mostly of discontinui- ties. The name "Out of Order" refers to the fact that it is not normal for the negative X-axis to cut through the southeast shore line of the main bay of the M-set. The calculation time of 3-1/2 minutes may be cut to 2-1/2 minutes by resetting the passes to 'g', but doing so will cause some of the finer detail to be missed. Both speed and accuracy may be achieved by viewing the finished image on the current FOTD web site at: <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> The original web site with all the past FOTD images may be accessed at: <http://www.Nahee.com/FOTD/> Lots of clouds, a strong northwest wind and a steadily falling temperature made Saturday anything but enjoyable here at Fractal Central. When the temperature dropped below freezing late in the afternoon, the fractal cats took to their shelf over the heat, where they enjoyed a comfortable evening. FL and I spent most of the day on an antiquing expedition. With the work just about caught up, the rest of the day was unevent- ful. The next FOTD will be posted in 24 hours. Until then, take care, and be satisfied with less than everything. Jim Muth jamth(a)mindspring.com START PARAMETER FILE======================================= Out_of_Order { ; time=0:03:33.75-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=MandelbrotBC3 function=ident passes=1 center-mag=-0.58310178265/+0.00224032835/223521/1\ /-105/0 float=y params=1.99/0/1/0 logmap=107 maxiter=1750 inside=0 colors=000EJK9DD466I6mF5fD4`B3V93P62I41C206oUYiQUc\ NQYKMSGINDFHABB67533VTuSQpQOlNMgLKcJHZGFVEDQBBM98H\ 76D4482243tP2lL2eI1ZF1SC1L90E6073NfhIY_DPR9HI489z3\ ku2gq2dm2ai2Ze2W`1SX1PT1MP1JL1GG0CC09806403uvdqram\ nZjjXfgUbcS__PWXNTTKPPHLMFIICEEAAB7775332`7nB3lLpl\ JlhIheGebFaZEZWCVTBSQ9OM8LJ7HG5ED4A9276133FDnA8Y54\ H`P3YN2WL2TK2RI2OG2MF1JD1HB1EA1C81960750430210x8Ts\ 7Qn6Oi6Me5K`4HW4FS3DN3BI28E1691440264X53U43R42O32L\ 32I21F21C1191060038vk6lc5bW4TO2JGdAN`BJYBFRAMLATEA\ _8AeNPlacrorxjntfkpbhlYehUbdQ_aItsKmnLfiM_eOT`PMWQ\ FS865D7EirpU_ZFIHry9nt8jp7gl7ch6_d6X`5TX4PS4MO3IK3\ EG2BC1781340guSZiMQYGHNB8B55ld4g`4cY3_U3WR2SN2OK2K\ H1GD1CA086043kVD_N9OF6C73gsoXebMZQBcDdhXZmSTrNNvIH\ zEBz95z4SzdQzaOzZMzWKzUIzRGzOzzLzzJzzGzzDzzAzz8zz5\ zz2zzzzzzzzQzzzzzTzzzzz0zzzzzzzzzzzzzzzzzzzzzzzzzz\ 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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FOTD 19-02-11 (Lost And Found [No Rating])
by Jim Muth 18 Feb '11

18 Feb '11

FOTD -- February 19, 2011 (No Rating) Fractal visionaries and enthusiasts: Today's image is quite a discovery, at least as far as I am concerned. The object at the center of the screen is a minibrot in the Z^(-2)+C Mandeloid. Yes, I know, or rather, I have assumed that minibrots can not exist in Mandeloids with single negative exponents of Z. It turns out that I was mistaken. As today's image shows, minibrots do exist in such Mandeloids. And they have the expected number of lobes -- one less than the exponent of Z. In today's image, the exponent of Z is minus 2. One less than minus two is minus three. Therefore we find minus three lobes in the minibrot. I'm not sure what a negative lobe is supposed to look like, it might appear as a peninsula, but why question such a reasonable explanation? Quite a bit of trickery was needed to bring out the minibrot in today's image. To begin, I raised the bailout radius to the point where nearly the entire fractal had evaporated. Then I rendered the remaining scene with the inside set to 'atan'. Finally, I set the periodicity to its most aggressive setting, which causes the stuff that would normally fill the interior of the minibrot to be skipped over and show up as black. The resulting image is not exactly correct, but it does show what I assume to be a minibrot lying in a fractal with a single negative exponent of Z. Since the image is almost entirely of mathematical interest, I could give it no rating. The name "Lost And Found" describes the adventures of all such negative minibrots. The calculation time of 2-1/4 minutes is reasonable. Viewing the finished image on the FOTD web site at: <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> will save a bit of effort. The original FOTD web site may be accessed at: <http://www.Nahee.com/FOTD/> A preview of spring visited Fractal Central on Friday. The warm sun and temperature of 68F 20C made it feel more like mid-April than mid-February. The fractal cats did not bother themselves with time-of-year details however. They spent the day on their shelf in the sun. My day was moderately busy, while FL had a slower day. The next FOTD is due in 24 hours. Only an unexpected antiquing trip could delay it. Until next time, take care, and look for the bright side of the darkness. Jim Muth jamth(a)mindspring.com START PARAMETER FILE======================================= Lost_And_Found { ; time=0:02:16.06-SF5 on P4-2000 reset=2004 type=manzpower passes=1 center-mag=-0.900448534/0/7843.38 params=0/0/-2/0 float=y maxiter=1500 bailout=10000000 inside=atan symmetry=xaxis periodicity=yes colors=000000elJZdGSZDLz9CzJ9zI6aG3bF1bEBUHLLKSANV\ DMYFL_IKbKJeNI000jSGoSHlUGiVGfXGdYGa_FZ`FXbFUcFReF\ OfEMhEJiEGkECkCElEFlFGlG000JmIKmJLnKMnLOnNPnOQoPRo\ QToRUpSVpTWpUXpVXdZXTaZFeXHdVIdTJc000QMcONbMPbLQaJ\ RaHTaGU`EV`CX_AY_9Z_7`Z5aZ4bZ2jY1rX0yW5sTAnR000JdM\ O_KSUIXPGaKDeFBjA9n57m49l4Ak4Cj3Dj3Ei3Gh2Hg2Jg2Kf1\ Le1N000d1Ph1Lk1Hn1Dq19t15w12NiMOmtQjsRgrTdqUapWZoX\ XoZUn_RmaOlbLkcJkeHmgFniDpkBqm9ro7tq5ur3vq7wqAwqDw\ qGwqJwqMwqPwpSwpVwpYwp`wpcwpfwpiwplwhiw`gwTdwLbwMc\ tMcrNdpNdnNdlOejOehPffPfdPfbQg`QgZRhXRhVRhTTjQUkOV\ lMWnKYoHZpF_rD`sBbt8cv6dw4ex2fy0crC`zOYz_VzkTzwPzp\ MziJzbGzXDzSBzN9zI6zEWzv4z92z4v4aozXhzTbzPWzLQzGJz\ CDz86z4yz5nz4dz3Vz2Kz1Az0dzM`zKYzzUzzRzzNzzKzzHzzD\ zzAzz6zz3zz1zz0zz0zz0zz0zz0zzzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzzzz0zz6zz5zz5zz4zz4zz4zz3z\ z3zz2zz2zz2zz1zz1zz0zz000 } END PARAMETER FILE=========================================

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FOTD 17-02-11 (Technicolor Midget [7])
by Jim Muth 18 Feb '11

18 Feb '11

FOTD -- February 17, 2011 (Rating 7) Fractal visionaries and enthusiasts: Today's image is a scene in the Z^(1.99)+C Mandeloid. At first glance, this parent fractal appears as an everyday Mandelbrot set. But a bit of thought will reveal that something is wrong with it. To begin, the main spike has been swallowed up, and an extra valley has appeared where the string of buds along the X-axis should lie. This extra valley is filled with discontinui- ties, though it is not without fractal hope. In fact, today's scene lies in this valley. After a modicum of thought, and a consideration of a name such as 'Chrysanthemum', I named the image "Technicolor Midget". Once the image is seen, the name will be self-explanatory. The rating of a 7 is better than recent days, but still leaves something to be desired. Most of the color was generated by the Fractint program with a stroke of the <enter> key. I did tweak a few registers, but not enough to reward myself the standard half-point bonus. Perhaps the best feature of the image is its fireball calcula- tion time of 57 seconds. An equally fast way to view the scene is to surf to the current FOTD web site at: <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> where the image has been posted in finished form. The original FOTD web site may be accessed at: <http://www.Nahee.com/FOTD/> Lots of sun and a temperature of 48F +9C here at Fractal Central on Wednesday kept the fractal cats quite content. In the human department, things went well enough also. The next FOTD will be posted in 24 hours. Until then, take care, and be of sound con- stitution, but don't make too much noise while you're at it. Jim Muth jamth(a)mindspring.com START PARAMETER FILE======================================= Technicolor_Midget { ; time=0:00:57.97-SF5 on P4-2000 reset=2004 type=formula formulafile=slices.frm formulaname=MandelbrotN center-mag=-1.294675469422\ 403/+0.05488858990964249/1.010264e+011/1/17.5/0 params=1.99/0/0/0/0/0 float=y maxiter=1600 inside=0 logmap=219 periodicity=6 colors=0009EK9DI8BG7AE69C57B469357235123011D0QB0NA\ 0L90J80H70F60D40B309206104002000000000000000000000\ 000000000000000zKCuFBpCAk99f68a47X26S26N25J14F13B1\ 27013009mI6cC3U68Kz7Av65m55c54Z43U33P22K21F11A005p\ zJirHckGWcEPYDMTBJPAHM8EI7BE58B4572231f2nX1hM1ZI1P\ D0K90F405G8INCP1a_0YX0VU0SR0POHWMFSJCNGAIC7E959603\ 32432NZ1LX1KV1JT1IR1GP1FN1EM1DK1CI0AG09E08C07B0690\ 47035023011z0Iz0Hz0Gz0Fz0Ez0Dv0Cr0Bm0Ah09c18U17K16\ A15514403302201100`3gR2XI1M90Bzv0vs0rp0mm0mj0mg0me\ 0mb0c_0cX0cU0US0UP0UM0UJ0KG0KE0KB0A80350120PJJNIIM\ HHLGGKFFJEEIDDHCCFCCEBBDAAC99B88A77966766655544433\ 3222111001Q_0MV0JR0GM0DI09D069034Y7cW6cU6cT6cR5cQ5\ cO5cN4cL4cK4cI3cH3cF3cD2cC2cA2c91c71c61c40c30c1Kc0\ Kn0Kk0Ki0Pg0Ud0Zb0c`0hY0mW0rU0zU5zZAzcFzhKzmPzrUzv\ Zzzczzhzzmzzrzzvzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzz } frm:MandelbrotN {; Jim Muth b=p1, z=p2, c=p3+pixel: z=z^(b)+c, |z| <= 16 } END PARAMETER FILE=========================================

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Re: [Fractint] Detecting MIDI hardware and emulating VESA under windows.
by Jay Litwyn 18 Feb '11

18 Feb '11

Author: Richard Date: 2011-02-16 14:23 -700 To: FractInt Discussion Subject: Re: [Fractint] Detecting MIDI hardware and emulating VESA under windows. > Which feature in fractint are you using that depends on MIDI/sound > output? Press CTRL-F. SW-synth (if you double-click on your speaker icon in your lower right hand corner, then it pulls up your mixer) is also volume control on MIDI file playback. > Can you supply a PAR file that captures the situation you're having > trouble with? Again, press CTRL-F. Disable the PC-speaker. Enable the sound card. My sound card is Intel-IBM-Lanovo, which does not do SoundBlaster. I was trying to get soundblaster emulation with VirtualBox, so that I could record it with low (damn near no) noise. I also wanted VESA support (for graphics modes above 300x400x256). Today, that is a wash, whether by cygwin or VirtualBox. It just focuses me on delivering a flavour of my synthesizer that processes orbitsave files from FracTint, and those will be extremely clean sound files (double precision in my synthesizer is massive overkill, and it makes me feel superior). _______ http://ecn.ab.ca/~brewhaha/Sound/

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FOTD 18-02-11 (The Sub-Continental [8])
by Jim Muth 18 Feb '11

18 Feb '11

FOTD -- February 18, 2011 (Rating 8) Fractal visionaries and enthusiasts: We (meaning I) finally created an image that earns a respectable rating -- that of an 8. The scene lies in the East Valley of the large minibrot on the main stem of the parent fractal, which is the near-Mandelbrot set that results when the formula Z^(2.00001)+C is iterated. On the surface, this parent fractal cannot be distinguished from a true Mandelbrot set. In fact just about the only difference lies along the negative spike, which instead of being a single line, has become infinitely divided. Today's curious scene lies at the edge of this divided spike. Though the generating formula has a fractional exponent of Z, the value is so close to the integer 2 that the discontinuities in the image are rather hard to pick out. (Check the spirals.) The rating of a pretty good 8 may indicate that I am finally out of the recent fractal doldrums. Time will tell. The name "The Sub-Continental" came to mind when something in the image brought to mind the architecture of the Indian Subcontinent. The calculation time of 1-3/4 minutes is gratifyingly brief. Equally brief is the time required to visit the current FOTD web site at: <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> where today's image is posted in finished form. The original FOTD web site may be accessed at: <http://www.Nahee.com/FOTD/> The sun was mostly filtered by a layer of high clouds here at Fractal Central on Thursday, but the temperature of 61F 16C made up for the lack of solar warmth and kept the fractal cats on their window shelf most of the afternoon, from where they kept close watch on the local feral cat activity. My day was slower than average; FL's day was average. The next FOTD will be posted in 24 hours. Until then, take care, and where do the feral human beings hang out? Jim Muth jamth(a)mindspring.com START PARAMETER FILE======================================= TheSub-Continental { ; time=0:01:45.35-SF5 on P4-2000 reset=2004 type=formula formulafile=slices.frm formulaname=MandelbrotN center-mag=-1.749424462413\ 316/+0.00004800200002821/2.245526e+010/1/150/0 params=2.00001/0/0/0/0/0 float=y maxiter=2800 inside=0 logmap=300 periodicity=6 colors=000WTQWVRWWSWYTWZUW`VWaWWcXVeYOgVHiSBkPDmSF\ oUHoWIlYKi_MeaNbcP_eRYhSVjURlWOnXLpZIr`FtaCvbFubHt\ bKtbMsbPscRrcUrcWqcZqc`pdcpdeodhodjndlnbom`qmZtmYv\ lWylUzlTzlVukWqkYmkZhk`bjaYjcRjdPjfNigLiiJiiHihHef\ HadGYbFU`EQZDNXCJVBFRABN97J84FA5AA5AA5AA5AA6AA6AA6\ AA6AA7AB7AC7AD7AE8AF8AG8AH8AIBAJEAKHAKK8KN6KP7JP8J\ PAKPBLPDMQENQFNQHOQIPQKQQLRQMRQOSTPTVQUXRVZSWaTXcU\ YeVZgW_jX`lYanZap_as`auaawbayaaz`az_azZbz_cz`dzadz\ bezcdzdezeezffwgfthgqihnjikkjhlkemlbnl_ojXphUqeRrb\ Os_OsXPtVPtSPtPQuMQuJQuHQvGOwGNxGMyGLzGKyFIwFHtFGr\ FFoFElECiEBeEAcE9cE8cE7eJ8gN9jRAmVBpZCqcDrgEvlFzqG\ zvzwzcswJmsKfrLYoLSkUMhcHdmF_rEXvCWzBVzAUk9Tb8S`7Q\ Y6PV5NT4LS3KQ2LO1NM0PL8RQGTVOS_WUdaWieZneaj`efWgbR\ jZLlVGoRBqNEtJKvFUwIcxLmxOwyRzzUzzXzz_zzbzzdzzazzZ\ zzWzzVzzUzzZzzczzhzzmzzrzzwzzzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzz } frm:MandelbrotN {; Jim Muth b=p1, z=p2, c=p3+pixel: z=z^(b)+c, |z| <= 16 } END PARAMETER FILE=========================================

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Re: [Fractint] Detecting MIDI hardware and emulating VESA under windows.
by Jay Litwyn 17 Feb '11

17 Feb '11

Lots are people are into the game of dropping backward compatibility. I think it is called "planned obsolescence", only most people hav no clue what the schedule for it is. Eventually, I went with VirtualBox rather than cygwin, because cygwin's download manajer crumbles during dial-up retrains. I had to create a bootable CD. Ahead Nero chose Caldera OpenDOS. Unfortunately, their configuration leaves me with 324k, which is enough to run FDISK on a virtual drive. It is not enough to "FORMAT C: /X /S". I was sweating a little bit at that point, double-checking that this was indeed a virtual drive, simulated in space on an NTFS volume. Dir C: ...no used space. The biggest consumer of memory seems to be something called FAT32: 119kB. Does anyone hav a bootable CD image with more memory to spare than that? http://www.allbootdisks.com/downloads/ISO/AllBootDisks_ISO_Image_Downloads2… Ah-ha. Maybe I can even shell out of fractint when I am done. What concerns me is how to move things saved on a virtual C: drive to a real FAT32 partition on my USB drive. I think that's what Oracle calls an attachment. I once ran FRACTINT under the command processor for DOS, which was great in a way, because then I had XMS. Unfortunately, the Dos Protected Mode Interface (DPMI) was broken, so when I ran a batch file, SIMPLGIF broke -- I'd hav to run it under CMD.EXE. It seems like Micro$oft should be doing this stuff, rather than Oracle, but then it would *probably* not be open-source. Lots are people are into the game of dropping support for old versions. _______ Wyszkowski's Second Law: Anything can be made to work if you fiddle with it long enough.

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FOTD 16-02-11 (Blue-Bluer-Bluest [6])
by Jim Muth 16 Feb '11

16 Feb '11

FOTD -- February 16, 2011 (Rating 6) Fractal visionaries and enthusiasts: Like yesterday's parent fractal, the parent fractal of today's image is not a single large Mandeloid, but rather a scattering of Mandeloids of various sizes, with one main central Mandeloid surrounded by smaller Mandeloids. Today's image lies in the detail in the vicinity of one of the smaller Mandeloids. When I first saw today's color palette, I thought it had too much of an overall bluish cast, so I cut back on the blue while increasing the red and green. Then I decided I liked the somber atmosphere created by the blueness, and returned to the original subdued blue version. One would imagine that blue shades, with their higher frequency, would create a feeling of action, but for some reason, the exact opposite is true. Fiery red hues create a feeling of hectic activity; blue hues create a feeling of calmness and serenity. The name "Blue-Bluer-Bluest" simply comments on the blueness of the scene. The rating of a 6 continues the streak of images just a little above average. The calculation time of 1-1/3 minutes is fair enough, but the trip to the active FOTD web site at: <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> will require less effort. The original FOTD web site may be accessed at: <http://www.Nahee.com/FOTD/> The temperature of 36F +2C here at Fractal Central on Tuesday was made much more pleasant by the total sun and light winds. The fractal cats took full advantage of the sun, spending the entire afternoon basking on their shelf in the southwest window. My day was busy but still under control. FL's day was unevent- ful also. The next in the apparently endless series of FOTD images will be posted in 24 hours. Until then, take care, and discover who and what you are. Jim Muth jamth(a)mindspring.com START PARAMETER FILE======================================= Blue-Bluer-Bluest { ; time=0:01:21.06-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=MandelbrotBC3 function=ident passes=1 center-mag=+0.6714632237871783/+0.0609363256784964\ /106666.7 params=1.89/0/13/0 float=y maxiter=1600 inside=0 logmap=105 periodicity=6 colors=000DWYDTVDQTENQEKOEHLFEIFBGF8D05B9AOAFWAKc9\ Pc8UcGZcObhWemcirklzeet`ZcWTYRMWMGVLEWLDWLDWKCWKCW\ KBWKBWJAXJAXJ9XJ9XI8XI8XI7_I7cJ9hKBmKDrLFvLHzMJzML\ zNNzNPzORzOTzPVzPXzQczQhzRkzSfzTdzT`zUZzVZvVYrWYmX\ YgXXeYXcZXaZW__WY`WW`WUaUWaTXaSYaRZbQ_bPabObbNccLd\ cKecJgcIhdHidGjdFkdElcBmb9mb6na4na2nZ4lX5jV7hS8fQA\ dOBbMD`JEZHGXFHVCJTAKR8MP6NO7SR8WT8_W9cYAg`Akb5rQI\ _LVIHWKIWMJWNKWPKWQLXSMXTNXVNXWOXYPYZQY`QYaRYcSYdS\ UeWRfZOgaKheHihEjkBjnFfmIblLZkOVjRRiUNhXJg_FfbBee7\ dgDchJciOcjUcl_cmdcnjcoocmpfkphjpjhplfqoeqqcqsaqu`\ qwStZKvBJmKJdSIW_INgIEoMGpQIqTKqXMr_OrcQsfSsjUtmWt\ kVsiVrhUqfUqeTpcTobSn`Sn_RmYRlXQkVQkURjSSiRTiMUaKV\ UKWMUXEUY7UZ8c_8c`9ca9hb9hcAhcAmcAmcBmcBrcCvcCzcCz\ cDzcDzcDzcEzcEzcFzcFzbFzaGz`Gz_HzZHzYHzXIzWIzVJzUJ\ zTJzPLzMNzJPzGRzDTzAVz7Xz4Yz5Wz6Uz6Sz7Qz7Oz8Mz8Kz9\ Iz9GzAEzACzBAzB9zE8zH7zK7 } 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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FOTD 15-02-11 (Voice of Authority [6])
by Jim Muth 14 Feb '11

14 Feb '11

FOTD -- February 15, 2011 (Rating 6) Fractal visionaries and enthusiasts: With today's image we bid farewell to the parent fractal of the past four days and turn to the fractal that results when the formula Z^(1.88)+C is iterated 12 levels up the complex logarith- mic hyper-ladder. This parent fractal is a multi-part one, a single large Mandeloid surrounded by smaller Mandeloids, with today's image located in a curling filament extending from one of these smaller Mandeloids. After due consideration, I rated today's image at a 6, which lately has pretty much been the average. The name "Voice of Authority" sounds like it means something important. Actually, like a piece of modern art, it means nothing at all. The image itself is a typical fractured thing that results when fractional powers of Z are iterated. I put a little extra effort into the coloring to bring out the reds and oranges as well as the smooth beige interior, though I'm not sure what good it did. The calculation time of 6-1/3 minutes is too slow to be a bargain. I recommend viewing the finished image on the current FOTD web site at: <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> The original web site may be accessed at: <http://www.Nahee.com/FOTD/> The current issue of a leading 'news' magazine has a cover story about a so-called 'singularity' due to arrive in 2045, when the machines man has created will become more intelligent than their creators. According to the technologists, we will then have the ability to transfer our unique stream of awareness into machine bodies, becoming immortal androids. Of course, those unfortu- nate people who don't live that long or who lack the money to pay for the process will be left behind in the dust bin of history. It's a nice fantasy, but for some reason it strikes me as wish- ful thinking. Maybe I'm missing something, but as far as I know, not a single one of these future predictions has yet come true as predicted. As for the current prediction, no one has determined exactly what is the 'stream of awareness' that makes each of us our individual unchanging selves. What is it that we would transfer into the machine bodies? What stays the same while the material of the body and the patterns in the brain constantly change? Oh well, all I can say is, 'have a happy dream'. Monday dawned clear and mild here at Fractal Central, and by midday the temperature had risen to 54F 12C. But shortly after noon heavy clouds moved in and by sunset the temperature was again down near freezing. The fractal cats made the most of the off-and-on sunshine. The rest of the day was uneventful. The next FOTD will be posted in 24 hours. Until then, take care, and if your full faith lies with science and technology, make the down payment today on your new android body. (Do people actually believe this stuff?) Jim Muth jamth(a)mindspring.com START PARAMETER FILE======================================= Voice_of_Authority { ; time=0:06:19.92-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=MandelbrotBC3 function=ident center-mag=-0.7291715568543372/+0.2177151126790068\ /9.079293e+008/1/-135/0 params=1.88/0/12/0 float=y maxiter=12000 inside=0 logmap=414 periodicity=6 colors=000KALKAJKAIKAGKAFKADKAEKAHKAEKAHKAJKALKAMK\ ANKAOKAPKAQKARKASKATKAUKATKASKARKAQKAQKAQKAQIAQJAQ\ KAQKAOLAMMALMAJNAHNAFMADMABL99L8CK8EM8HN8JP7LQ7OS7\ QT7SU6VU6XV6_V6aW5cW5fX5hX5jUAicAGXAHcAIUAJcAKRALc\ ALOAMUANLAOUFPJKPUPRRUSVZTZdUbgVfiWjlXnnYooYqpZno`\ lnbjmdhlefkgdjibij`ilYhnWgoUfzSezQdzOczMbzKczNczPc\ zRczTczWczYcz_cza`qbavc`qc_lcZhcYccY_cXVdWRdVMdVId\ UDdT9dS4dS0bR4aQ8`PCZOGYOKXNOVMSULWTK_SKcUJKUIKVIK\ VHKWHKWGKYGKZFK`FKaEI`EFfDDmDBzE9zW8sC7`A7O87C77FA\ 9ICALEBNHCQJDTLEWOFYQG`SHcVIfXJkZKoaLtcMweNzgOzgPz\ hQzfRxfSveTteUseVrdWqdXpdYocZnc_mc`kbaibbhbchadgae\ gaef`fe`ge_hd_ic_jcZkbZlaZmaYn`Yo_Yp_XqZXrYXsYWtXW\ uWWvWWwVXxVYxWZwX_wY`wZaw_bw_cw`dxaeybfzcgzdhzeizf\ jzgkzhlzimzjnzkozlpzmqznrzoszptzquzrvzswztxzuyzvzz\ wzzxzzyzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\ 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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Fan Overload
by Mike Frazier 14 Feb '11

14 Feb '11

I was looking for a deep zoom fractal to use for a HD video and I stumbled across this one. I named it "Fan Overload" because of the proliferation of structures that look like a hand held fan. I liked the colors and the period doubling fans. Every four rings you get twice as many fans. I am in the process of rendering a high resolution 1080p HD video of a zoom into this fractal. It will take about 2 weeks to render the video on my PPC "render horse" computer. I will update the website and post a link to the video when it is ready. Here is a link to a webpage with an image and a parameter file: http://www.fracton.org/fmlposts/fan_overload.html If you would prefer to draw the image yourself here is the parameter file: Fan_Overload { ; Exported from Fracton. ; Time = 24 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=0.352098153347466029790140852/0.4219317\ 95553932528073787981/5333333399999999/1/94/0 params=0/0/0/0/0/0/0/0/0/0 maxiter=10000 inside=0 proximity=0 colors=000saCr`Cq_Cp_CoZCmYDlXDkWDjVDiUDgTDfTDeSDd\ RDcQDbPD`OE_NEZMEYMEXLEVKEUJETIESHERGEPFF0A00A01A0\ 1A02B12B13B13C14C24C25C25D26D36D37E37E38E48E49F49F\ 4AF5AG5BG5BG5CG6DH6DH6EH7EI7FI7FI7GI8GJ8HJ8HJ8IK9I\ K9JK9JK9KLAKLALLALMAMMBMMBNMBNNBONCONCPOCQODQODROD\ RPDSPESPETQETQEUQFUQFVRFVRFWRGWSGXSGXSGYSHYTHZTHZT\ H_UI_UI`UIaVJbWKcXLdYMeZMf_Ng`OiaPjbQkcRldRmeSnfTo\ gUphVriWsjWtkXulYvmZwn_xo`zpaypaxo`wn_vm_ulZtkYsjX\ riXqhWphVogUnfUmeTldSkcRibRhaQg`Pf_OeZOdZNcYMbXLaW\ L`VK_UJZTIYSIXRHWQGUPF000111333555666888AAABBBDDDF\ FFHHHIIIKKKMMMNNNPPPRRRTTTUUUWWWYYYZZZ```bbbdddeee\ gggiiijjjlllnnnpppooommmllljjjhhhgggeeecccbbb```ZZ\ ZYYYWWWUUUTTTRRRPPPOOOMMMKKKJJJHHHFFFEEECCCAAA9997\ 77555444222000PFFQFFRGFSHFTIFVJFWKFXLFYMF_NF`OFaOE\ bPEcQEeREfSEgTEhUEjVEkWElXEmXDnYDpZDq_Dr`DsaDubDvc\ DwdDxeDzfCyfCxeCwdCvcCubC } -- Mike Frazier www.fracton.org

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FOTD 14-02-11 (Spots Before the Eyes [6])
by Jim Muth 14 Feb '11

14 Feb '11

FOTD -- February 14, 2011 (Rating 6) Fractal visionaries and enthusiasts: Today's image is a half-evaporated one, lying in the same parent fractal that gave us the past 3 days' images. I stick with this parent fractal because of an intuition that it holds some great images. So far however, these great images have proved to be very elusive. Today's image for example, with its rating of a 6, lies in the middle of the FOTD-average range. In addition to being half evaporated, today's image is also unusual in that it has been rendered with its inside parts set to 'atan'. The setting doesn't seem to have done all that much for the image however. The reason for the name "Spots Before the Eyes" will be immedi- ately apparent as soon as the image is seen. The calculation time of 7-2/3 minutes may be cut significantly by rendering the image with the passes reset to 'g', but doing this will eliminate a good number of the spots. Calculation may be avoided entirely by checking the finished image on the current FOTD web site 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/> Sunday was the warmest day in a couple months here at Fractal Central, as the high of 48F +9C gave almost a spring-like feeling to things. The remaining piles of snow and ice kept spring fever at bay however. The fractal cats spent most of the day on their shelf by the heat, while my day was slow enough for laziness to take hold. The next FOTD will be posted in 24 hours. Until then, take care, and what will those who do not enjoy fractals do to keep themselves occupied during the infinite time span of an eternal afterlife? Jim Muth jamth(a)mindspring.com START PARAMETER FILE======================================= SpotsBeforeTheEyes { ; time=0:07:40.55-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=MandAutoCritInZ function=recip passes=1 center-mag=+4.928482180057377/-0.03348163368617062\ /1.871333e+009/1/147.57/0 params=-1.1/-11/-11/-1.1\ /0/5000000000000000.0/0/0 float=y maxiter=4200 inside=atan periodicity=6 colors=000000W6hY7i`8jb8kd9lf9miAnkAomBpp8roBpoEoo\ HnoKmoNloQkoTjoWi000nagndfngenjdnmcnpbpw_nsalockke\ igghcif_jdWlcSnaOp`KrZGtWAuYDuZGu_JuZKtZLtZLtYMsYN\ sYNsYOrXPrXPrXQqWRqWRqWSpWSpVTpVUoVUoUVoUWnUWnUXnT\ YmTYmTZmS_lS_lS`lS`lRZjRYiRXhRWgRVfRTeRSdQRbQQaQP`\ QN_QMZQLYQKXOfFW`McWTkQ_sLeqMfoMfnNflNgkNgiOghOhfP\ hePhcPibQi`Qid7Y_QiTkyVgtXdpYak_ZgaWbbTZdQUeNQgKLi\ HHjEClB8m84j96hA7eB9cCAaDCZEDXFFVGGSHIQHJNILLJMJKO\ GLPEMRCNS9OU7PV1RY5PW8OVBNUFMTILSLKQPJPSHOVGNZFMaE\ KdDJhCIkBHnAGkCIiEJgGKdILbKM`MNZOOWQPUSQSURQVSNXTL\ ZUJ`VGbWEdXCfYAhZ7j_5l`3na1ob3Ka5m`7l_9lZBkYDjYFjX\ GiWIKVKgUMgUOfTQeSSeRUdQVcQXbPZbO`aNb`Md`Mf_LzZKiY\ JkYImXIoWHqWGsVFuUEyRBvUEsWHpYJzzMvzPv0RrzUcccrzZm\ UamzdhcfhziczlcznZxqZzsUwrUuqDsqDppDnoDloDjnDgmDem\ DclDakDZkDXjEViETiEQhEOgEMgEKfEHeEFeEDdEBcE8cE6bE4\ aB1`A0IG3bI3cL4dN4eP5fR5g } 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 13-02-11 (Halfway to Infinity [6])
by Jim Muth 13 Feb '11

13 Feb '11

FOTD -- February 13, 2011 (Rating 6) Fractal visionaries and enthusiasts: Today's image lies "Halfway to Infinity" in the same parent fractal that held the images of the past two days. I'm not sure where halfway to infinity might be located, since infinity has no limit and half of infinity must therefore have no limit also. The image lies on the brink of evaporation. A tiny increase in the imag(p3) parameter, which sets the bailout radius, will send the image over the brink, totally changing its character. A huge increase to one-googol or so will result in a totally evap- orated image, which must be made visible by setting the inside to an active fill such as 'bof61'. The rating of a 6 is fair enough. I might have raised it to a 7 or so if I had not been overtaken by an attack of laziness, and had done more work on the color palette. The calculation time of 1-1/2 minutes is very near FOTD average. This brief wait may be avoided by viewing the finished image on the active FOTD web site at: <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> the original FOTD web site, not up to date, may be accessed at: <http://www.Nahee.com/FOTD/> Morning clouds were followed by afternoon sun here at Fractal Central on Saturday. The temperature reached a high of 37F +3C, but a stiff wind from the northwest kept things feeling quite winter-like. The fractal cats spent most of their time in the sun. My day was about average. The next FOTD will be posted in 24 hours. Until then, take care, and when technological immortal- ity arrives in a half century or so, will it be for everyone or only for those who can afford to pay the sure-to-be-outrageous price? Jim Muth jamth(a)mindspring.com START PARAMETER FILE======================================= Halfway_ToInfinity { ; time=0:01:31.06-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=MandAutoCritInZ function=recip passes=1 center-mag=+2.767698435760548/+0.04501133247478548\ /9.565617e+008/1/-110/0 params=-1.1/-11/-11/-1.1/0\ /6454426000.0/0/0 float=y maxiter=1500 inside=0 colors=000hDgdFZ_HRWJIRLANN2KJ1HG1ED1BA0870540210D\ B0NL0YV0gd0qn0lk8hhGdeO`bWX_cTXkPUrOWlOYgN_aNaXMcR\ MeMTBDQFHOILMLPJOTHRXFU_oUMZXIIZE1`AEkKRvURsTRqTRo\ SRmSRkRRiRRgQReQPaSOZTNWULTWKQXJNYQPTXROaQRbRPbROc\ SMcSLcTKdTIdUH4uq2zuAxnHwgPu`WtV`rSdqQhoNlnLplItkG\ xjEpeLiaRbYXWUcPQiIMoBIuNToZbijlcdh__dWV`SQYOKUKFQ\ GAMC5J8FM7OP6YS5fV4pY3z_3vb6td8rfBzhDnjGllIndNoYRp\ QVqJZrN`sRbtVdtZfubhvfjvjllgpcesUcwLazKdtJfoIijIke\ Hn`GpWGrRLmTPiUUdWY`XaXYfS_jO`nKaznAT`xKdlCg`4jQK3\ WF`PKAZPSOOCR_INLJCEseQ5Zt4AM8Jm7IBGMfAQbZU_DYWFaP\ HhTGeM5NZE`L9JeDWK7MkCRO5SmRTM8NnhQL5MnYTL6UnNWS4X\ qSfoKanDYktllgglVbzIYs5Zv6Ug6Qh6MW7HH7DI14K79LDDMq\ HOPLmzPSYUzzbPbSczzWRFmzJPaMMfQJkTqchdhcSl_8w_GpWN\ iSVbPaWLd27fEDhPIj`Ov2frIanXXnnXkkThiQfgNceK`bHZ`E\ WZBaqCX3kVISST3TV6UX8VYAW_DXaFzzCYfFYbHYYKXUMXPPXL\ RWEUXHTXJSYLRHa4UKVWMSmBo } 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 12-02-11 (At-One-Ment [7.5])
by Jim Muth 12 Feb '11

12 Feb '11

FOTD -- February 12, 2011 (Rating 7.5) Fractal visionaries and enthusiasts: Today's 7.5 rated image lies in the same parent fractal as yesterday's failure of an image. True, it lies in a different part of the parent, but this has little to do with the improve- ment. Most of the improvement is a result of the additional work I put into the coloring. Yesterday's 3-rated image is just a mass of colors scattered haphazardly, with no apparent order, while today's image has a unifying theme of subtlety. There are no patches of brilliant gaudy colors in today's scene, only a rather soothing blend of subtle pastel tints, almost resulting in a gray-scale image. Since it did take a bit of effort to achieve this subtlety, I rewarded myself with a half-point bonus. The name "At-One-Ment" spells 'atonement' when the caps and hyphens are removed. It indicates that today's image is an atonement for the sorry excuse of an image I posted yesterday. The calculation time of 1-1/2 minutes is certainly a far better deal than the 12 minutes required for yesterday's image. And even this brief effort may be avoided by checking the currently active FOTD web site at: <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> where the finished image is posted. The original FOTD web site may be accessed at: <http://www.Nahee.com/FOTD/> but the last time I checked, it was not up to date. Friday here at Fractal Central began with a bone-chilling temper- ature of +5F -15C. It warmed to above freezing in the afternoon but then a veil of clouds moved in, weakening the sun and disap- pointing the two fractal cats. My day was close to normal. FL is quite enthused about the revo- lution in Egypt. I think it has brought back memories of the anti-Vietnam War protests she took part in so many years ago. (Where did those 40 years go?) It will not be 40 years before the next FOTD is posted. It will be more like 24 hours. Until then, take care, and be ready for whatever might be coming. Jim Muth jamth(a)mindspring.com START PARAMETER FILE======================================= At-One-Ment { ; time=0:01:32.22-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=MandAutoCritInZ function=recip center-mag=+4.743324406103668/+1.399148419346652/\ 1.675267e+010/1/-12.5/0 params=-1.1/-11/-11/-1.1/0\ /525/0/0 float=y maxiter=1500 inside=0 logmap=199 colors=000LANK9MK4MJ8LJ4LI7KI4KH6JH4JG5IG4IF5HF4HE\ 5GE4GD5FD4FC5DC4DB5CB4CA4CA4D94E94E84F84G84H84I84I\ 94I95IA5IA6IB6HB7GC7GC8FD8ED9EE9FEAFFAGFAGGAHGAIHB\ JHBJICKICKJDLJDLKEMKFMLFNLGNMGOMHONHPNIPOIQOIQPJRP\ JRQKSQKSRLTRLTSMUSMUTNVTNVUOWUOWVPXVPXWQYWQYXRZXRZ\ YS_YS_ZT`ZT`_Ua_Ua`Vb`VbaWcaWcbXdbXdbXdcYecYedZfdZ\ fe_ge_gf`hf`hgaigaihbjhbjickickjdljdlkemkemlfnlfnm\ gomgonhpnhpoiqoiqpjrpjrqksqksrltrltsmusmutnvtnvuow\ uowvpxvpxwqywqyxrzxrzyszyszztzztzzuzzuzzvzzwzzwzzx\ zzxzzyzzyzzzzzzzzzzzzzzzzzzzzzzzyzzyzzxzzxzzwzzwzz\ vzzvzzvzzvzzuzzuzztzztzyszyszxrzxrzwqywqyvpxvpxuow\ uowtnvtnvsmusmurltrltqksqkspjrpjroiqoiqnhpnhpmgomg\ olfnlfnkemlemmdlndlockpckqbjrbjsaitaiu`hv`hw_gx_gy\ `fzafzbezcezddzedzfdzgczhczibzjbzkazlazm`zn`zo_zp_\ zqZzrZzsYztYzuXzvXzwWzxWzyVzzVzzUzzUzzTzzTzzSzzSzz\ RzzRzzQzzQzzPzzPzzOzzOzzN } 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 11-02-11 (Absolute Chaos [3])
by Jim Muth 11 Feb '11

11 Feb '11

FOTD -- February 11, 2011 (Rating 3) Fractal visionaries and enthusiasts: Today's image came on strong. When I first saw the area of the parent fractal, I thought I was really into something interest- ing. And sure enough, I soon found a minibrot. But for some reason, I simply could not find a color palette able to bring out the hidden worth that I feel lay within the image. So here is today's image, worth only a pathetic lowly 3. Normally, I would not even consider posting such a scene, or I would let it go with no rating, but today I wanted to emphasize that, at least in my opinion, the image is an abject failure. My alibi is a lack of time. If I had had more free time to work with the colors, I might have found a better color palette. On the technical side, the image is an 'evaporated' one, which means it consists totally of 'inside' stuff made visible by the 'bof61' inside fill. The parent fractal certainly holds far better images, and in the next FOTD, with more time to search, I'll hopefully present one of them. But for today, the way to escape the excessive 12-minute calcula- tion time is to view the finished image on the active FOTD web site at: <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> the original but currently inactive FOTD web site may be accessed at: <http://www.Nahee.com/FOTD/> There was no FOTD on Wednesday because I spent the day back at Old Fractal Central searching for the cause of a growing water stain down one of the walls. It took about 15 minutes to trace the cause to a hole at the edge of the roof that probably resul- ted when recent heavy snow pulled down the rain gutter along with part of the roof. The hole is letting water drain down inside the wall. I also noticed that a squirrel has taken up residence in the attic, using the hole as its doorway. I made a very temporary repair. A professional job is needed however, and the squirrel will have to be evicted. The sun was bright here at Fractal Central on Thursday, but the morning temperature of 10F -12C set a very chilly tone to the entire day. The fractal cats approved of the sun and spent the afternoon sharing the warmth of the sunny shelf in the southwest window. My day was fully occupied with getting the work caught up. The next FOTD is due to be posted in 24 hours. In all likelihood, it will appear as scheduled. Until next time, take care, and may the force be with those in the right. (I leave it to the individual to decide who or what is in the right.) Jim Muth jamth(a)mindspring.com START PARAMETER FILE======================================= Absolute_Chaos { ; time=0:12:00.03-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=MandAutoCritInZ function=recip passes=1 center-mag=+1.560838394521583/+2.582196162938022/\ 1.533871e+011/1/-175.5/0 params=-1.1/-11/-11/-1.1/\ 0/1e+100/0/0 float=y maxiter=6000 inside=bof61 logmap=968 periodicity=6 mathtolerance=0.05/1 colors=000KKK6iJAfLEcNI`PMYQQWSUTUXQV`NXdKZhI`lFap\ Cct9ew7fpD`iIWbORWTMPYHVX9_W2fYIl_Yrals_msYmsXnsVn\ sTosSosQptOptNqtLqtJrtIrtGstEstDsrFrpHqoIqmKplLpjN\ oiOogQneSmdTmbVlaWl_YkZZkX`jWajTf`RkSPpJNtAOpDPlGQ\ iJQeMRaPSZSTVVTSYPQaMOdJMgGLjIMgJNeKOcMO`NPZOQXQRV\ RRSSSQUTOVUMWUJYVHZWF_WDYUHWTKURNSQQQOTONXML_KKbII\ eGHhEFlCEoACr8Bu6Ax9EvBHtDLrGOpISnKVlMZjPahRefThdV\ lbYo`_sZavXcyWdxYdw_evaevbfudftfgsggsigrkhqlhpnipp\ ioqjnsjmujmvehq`dlW`gRXcMTZHPUDLQHMPLNPOOPSPOVQOZR\ ObSNeTNiUNlVMpWMsXMkSLdNKYIKREJK9JU4I6KI83UU6FNPN9\ 68GEBIHAJJ9LM8NP7PS5RU4TX3V_2WazSzzTxzUvzVtzWrzXpz\ YnzZlM_jI`hEaXBbV7cT3dS0_T1Vb2Ql2Op4Mp5Lp6Jp7Hp8Gp\ 9EpADpBBpD9pE8pF6pG4pH3pI1pJ0pK__6KhE5pMFnLOmKYkJf\ jIoiIpeLpaOqZQqVTrSWrOYrK`sHcsDetAht6kz3mzAkzHjzNi\ zUgz`fzfezgczgbzgazg`zgZzhYzhXzhWzhUzhTziSziRziPzi\ OzjWzjVzjTzjSziQziPziNziM } 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 09-02-11 (Nitty Gritty [6.5])
by Jim Muth 09 Feb '11

09 Feb '11

FOTD -- February 09, 2011 (Rating 6.5) Fractal visionaries and enthusiasts: In today's image we get down to the nitty-gritty, which is what I named it. This is a picture of a miniature Mandeloid caught in the process of trying to morph itself into a well-defined baby Mandelbrot set. But with an exponent of `Z' of only 1.913, the little fellow lacks the material he needs to pull himself into perfect shape. The intent and effort are there; only the material is lacking. I gave the minibrot a somber gray background to show that regard- less of how hard he tries, he will never reach full mandelhood. But look at the richness he has created in his surroundings in his futile struggles to achieve perfection. His efforts alone certainly rate the 6-1/2. In addition to the lack of a solid `2' for an exponent, the mini- brot at the center of today's image also suffers from a lack of a sufficient maxiter. The rather anemic maxiter of 1750 should be at least doubled if we want to see all the central minibrot has to offer. The calculation time of a little over 2 minutes will pass in less than half a flash. Only then will it be known whether the result was worth the effort. To keep risk of disappointment at a minimum, I recommend viewing the finished image on the active FOTD web site at: <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> The original classic web site may be accessed at: <http://www.Nahee.com/FOTD/> Tuesday brought lots of sun to Fractal Central, but it also brought biting winds and a temperature of 25F -4C. The fractal cats concerned themselves only with the sun, which despite the outside chill, was strong enough to keep them on their shelf in the window most of the afternoon. My day was busy and thankful- ly free of politics. The next FOTD is due in 24 hours, though I hear we have a problem back at Old Fractal Central, and I may need to go there on Wednesday to check things out. Until when- ever, take care, and be satisfied with what you've got. Jim Muth jamth(a)mindspring.com START PARAMETER FILE======================================= Nitty_Gritty { ; time=0:02:10.12-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=MandelbrotBC3 function=ident passes=1 center-mag=+0.7007740040949522/+0.8641796338870031\ /70786.44/1/-90/0 params=1.913/0/-5/0 float=y maxiter=1750 inside=0 logmap=129 periodicity=6 colors=000VTVVTVVTVVTVVTVVTVUSUUSUUSUUSUUSUTRTSQSR\ PRQOQPNPOMONLNMKMLJLKIKJHJIGIHFHGEGFDFECEDBDCACB9B\ A8A999`N2VJ2OF1IB1C70630aXuXSmSOfNK_JGTECL98E447zt\ ymhl`Y`PMOCBCybau_ZqYXnWVjTTfRQcPO_MMWKKTIHPGFLDDI\ BBE98H667AVc2Q6tz3Szzzz4mS3`L2PE1C7gv7Xg5MT3BE1pGr\ nFolEmjEkhDifDgdCebBc`BaZA_XAYV9WT8UR8SP7QN7OL6MJ5\ KH5IF4GD4EB3C92A7285163141025b84_74Y74W63U63S53Q52\ O42M42J32H31F21D21B1091070050sZ4lV3fR3JLgKKiLJkMIm\ NInPHlQHjRGiSGgTFfUFdVFc`CZeAUj7Qo5Lt2Gy0Cu7GqDJnJ\ MjPPgVScaV_gYXm`TscQyfLwhGviBtk6sl1rm8nlEkkKhjRdiX\ ahbZghWgkbYnhOqnEtt4pu8muCjuGgvKdvO`vSYwWVw_SwcPwg\ MshKphHmhFihCfhAchBcjBglBknBpoBoqBosBnuBnvDluGkuJg\ uMetPbtSatV`sY`s`_scVreTrgSriTmkOimNdpN`sMXvLSxLOz\ LJzLFzLBzNEzPGzQIySKxTMwVOwWQwYSxZUx`WyaYyc_ydazac\ z_ezYgzWizTkzRmzPozNqzKszIuzGwzExzByz9zz7zz5zz8zzA\ zzDzzFzzIzzKzzNzzPzzSzz2z } 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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FOTD 08-02-11 (The Missing Linque [8])
by Jim Muth 08 Feb '11

08 Feb '11

FOTD -- February 08, 2011 (Rating 8) Fractal visionaries and enthusiasts: Blue-and-gold color schemes are some of my favorites. These are my old school colors, so I rated today's almost totally blue and gold image at a lofty 8. The name "The Missing Linque" has nothing to do with the study of language or the theory of evolution. It is simply a refer- ence to the arrangement of radiating arms around the central minibrot, some of which are doubled, while others are totally missing. The spelling simply makes the name appear trendy, kind of like the junque (junk) FL and I come upon on our antiquing trips. The image lies in what I assume is the Seahorse Valley of the parent fractal that results when the formula Z^(1.913)+C is iterated at level +7 of the complex logarithmic hyperladder and no function is applied. 1.913 just happens to be very close to the cube root of seven, but this is of no importance in the final appearance of the image. The calculation time of 1-1/2 minutes is brief enough to make the calculation a pleasure. Even greater pleasure may be found at the currently active FOTD web site at: <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> where the finished image is posted. The original FOTD web site may be accessed at: <http://www.Nahee.com/FOTD/> At lunch time on Monday, FL expressed her disappointment with the lack of forceful action by SuperPresident B.O. to aid the oppressed struggling people of Egypt. To avoid another futile discussion, I left the room. But to me the real puzzle is how so many otherwise intelligent people could have been gullible and naive enough to actually believe some kind of near-magical change was coming when B.O. was elected. (Believe me, it's not easy learning to be as cynical as I have become over the years, but the cynical view usually turns out to be right!) A mix of clouds and sun, with an unexpected temperature of 43F +6C, kept both the fractal people and the fractal cats happy here at Fractal Central on Monday. The next FOTD will be posted in 24 hours. Until then, take care, and fill in the blanks of life with wisdom, or your life will be a blank. Jim Muth jamth(a)mindspring.com START PARAMETER FILE======================================= The_Missing_Linque { ; time=0:01:30.13-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=MandelbrotBC3 function=ident passes=1 center-mag=-0.4313243146925733/+0.1339394994731501\ /3.085371e+011/1/-52.5/0 params=1.913/0/7/0 float=y maxiter=1500 inside=0 logmap=133 periodicity=6 colors=00058f69g7Ah8Bi8Cj9DkAElAGmBIoCKqCMsBOqBQoB\ SmBRkBQiBPgBOeBOdBNbBM`BLZBKXBJVBITwwczzPzwMzsKzpH\ zmEyjCwhBvfAud9tb8r`7qZ6pX5oV4mT3lR2kP1jO0iP3iQ5iR\ 8hSAhTDhUFhUIgVKgWNgXPfYSfZUf_Xf_ZfXXfUWfRUfPTfMRf\ JQfGOfDNfBMgGNgLOhQRhUUiZZiccjhhjlmgrrdxvazz_zzXzz\ UzzRzzPvzMrzJszGtzEtzVbljMdz5Yw6Wt6Uq7To7Rl8Pi8Og9\ Md9LaAJ_AHXBGUBESCCPCBMD9KD8JJAJOBITCIYDHbEHgFHlGG\ nGGoGGpGGrGFsGFtGFvGFwGFxGItHKqIMmJOjJQfKTcLV_MXXM\ ZTN`QOcMPeJPgFQiCRk8Sm5SuK4pJ6kJ7fJ9aJAXJCSJDNJFIJ\ GDJI8JJ3JK5IM6IO8IQ9HS47L88NB9OEAQHARKBTNCURDVUDXX\ EY_F_bG`eGacKcbNd`Re_UgYYhX`iVdjUglSkmRnnQqoTnkVkg\ Yhd_e`bbXd_UfXQiUMkRJnOFpLBrJ8oIAmICkIEiIFgHHeHJcH\ KaHM_HOYGQWGRUGTSGVQGWeFbuEirLbpSXnZRkeLilFgs9ez3a\ zA_zBYzCXzDVzDTzESzFQzGPzGNzHzzIzzJzzJzzKzzLzzMzzM\ zzpzzqzzrzzrzzszztzztzzuzzuzzvzzwzzwzzxzzyzzyzzzzz\ zzzozzezzVzzLzzJzzHzzFzzD } 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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Detecting MIDI hardware and emulating VESA under windows.
by Jay Litwyn 08 Feb '11

08 Feb '11

Does anyone know of a good way to figure out how to set the BLASTER variable that I think fractint needs? I wondered if that DosBOX program at sourceforge would read it from somewhere or emulate a soundblaster through Windows Sound System, and the last download of DosBOX I tried had a bad CRC. Anybody got experience with DosBOX and FRACTINT? On my last computer, soundblaster information was available when I enabled soundblaster support in the BIOS. I did not manage to get that old MIDI synth working before it crashed. On my new computer I hav no clue how to fill out the BLASTER VARIABLE. Also, my new computer (a used 3GHz P4 Duo) does not come with VESA support, of all things for IBM/Intel/Lanovo to skip, so it looks like I will be running fractint at 300by400by256 -- might as well. When I really want high res, I might as well use the disk video modes, then there's a hope I can run fractint as a background process (Last time I checked, though, Windows stalls between sections). It's a bummer for producing videos at 640by480 with color-cycling, though, unless I can work out how to do it in batch mode ...might as well...I'm writing the parameter files with a BASIC program, anyway. An option before me, a few seconds ago, was to install cygwin and compile XFractint, and I just looked it up, seeing a message from Jonathan Osuch somewhere in 2005, that it compiles cleanly under cygwin http://mailman.xmission.com/lurker/message/20051127.140158.0c79337a.ja.html Can I install Redhat Program Modules (RPMs) under cygwin? My introduction to cygwin sujested that I had to compile just about anything I wanted, and if Osuch has a binary, then maybe I don't. I think some RPMs are source-only. Which packages do I need for XFractint? I saw fvwm2. I suspect the c or c++ compilers. I am on dialup, although if it goes to gigabytes, then I can drop by a syberkafay with my USB key, and download cygwin binaries on that, first. Oh, and I thot I posted a question about sound support with WinFract. Anyone behind that project, now? The new part of this computer that clinched the deal is that the video guard does 1600by900. I look forward to selecting fractals that make good widescreen.wallpaper.

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FOTD 07-02-11 (In the Wilderness [No Rating])
by Jim Muth 07 Feb '11

07 Feb '11

FOTD -- February 07, 2011 (No Rating) Fractal visionaries and enthusiasts: The parent of today's image is kind of a distorted Mandelbrot set rotated so that its west side faces south. It came into existence when I calculated the formula Z^(1.81712)+C at level 10 of the hyperladder. (1.81712 is the cube root of 6, though this has no significance in the appearance of the image.) The parent fractal has a very large object just north of the main bay. This cut-off object is too large to be called a minibrot, so I consider it a sub-parent. Today's scene lies in a valley of this sub-parent, regardless of what one calls it. I gave the image no rating, since I kind of ran out of fractal steam and drifted into philosophy-land before the image reached its full potential. The name "In the Wilderness" describes my mental state while thinking of the name more than the image itself. The calculation time of over 8 minutes may be reduced signifi- cantly by resetting the passes to 'g', but doing so will cause much of the random decoration to be missed. The calculation may be eliminated totally by viewing the finished image on the FOTD web site at: <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> The original web site may be accessed at: <http://www.Nahee.com/FOTD/> We were caught nearly by surprise here at Fractal Central on Sunday, when the weather turned almost pleasant, with a temperature of 41F +5C and lots of sun. The sun enabled me to easily clear the remaining ice from the fractal driveway, and also gave the fractal cats a very enjoyable afternoon on their shelf in the window, from where they watched me at work. FL added moral support and hot refreshment. The next FOTD will be posted in 24 hours. Until then, take care, and we appear to live in a universe of three dimensions because this number of mental spatial dimensions is what the human consciousness creates for a field of 'outer' activity. Theoretical super-advanced aliens probably create a higher- dimensional mental space for their 'outer' activities. (In all cases the math is contrived to work with what is observed.) Jim Muth jamth(a)mindspring.com START PARAMETER FILE======================================= In_the_Wilderness { ; time=0:08:19.11-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=MandelbrotBC3 function=floor passes=1 center-mag=+0.01155565489096672/+1.143316385076897\ /8.32084e+008/1/155/0 params=1.81712/0/10/0 float=y maxiter=10000 inside=0 logmap=850 periodicity=6 colors=000000SbrTerVgrXisYls_ns`psbsscusewsfyscup`\ qnZmlWijUehRafPYdMUaKQ_HMYFIWCEUAAS76Q52OL5MKALJEK\ JIJIMIIQHHUGHYGGaFFeEFiDEmCEqBDuADyAHmGLaLPQQSFVXJ\ _`NddRihVnlZspbxp`xoYwnWwnUwmRvmPvlNvkKukIujGujEui\ IsWQjZDlUChPBdJA`E9X98T48PA9WF9bLAiQAoZSjfienzakwb\ itbfqbdncakc_hcXedVbdT_dRabPbaOc`Md_LeYJfXIgWGhVFi\ UETgDCtGEoIGkKIgNKcPLZRNVUPRWRNYSI`UEbWAdY6fZ2dX5c\ V8aTA`RDZPFYNIWLKVJNTHPSFSQDUPBXO9ZQBbSDfUEiWGmYIq\ _JtXPnUUiR_cOdZLjTIoOFtJGsLHrMIrOJqPKqQLpSMpTNwUOe\ WPnXQszRm_Sl`TlbUkcUkdKlhBmlAjh9hd8f`7cX7aU6_z5XV4\ VIKTEKRBKQAKP9KO9KN8KM8UL7UK6UJ6UI5UH5UG4UF3cE3cD2\ cD2cC3cC4mB5mB6mA6mA7m98r99v8Az8AzKBzKCzKDzKDzKCzK\ CzUCzUCzUCzUCzUCyUCxUCwUCvUCuUCtUCrUFqWIpYLo_OnaRl\ cTkeWjgZijahldfnfepidrlctobvraxtbzrczpczodzmdzlzzj\ zzizzgzzfzzdzzczzazz`zzDzzNzzXzzfzzpzzzzzizzUzzEzz\ FzzGzzHzzHzzIzzJzzJzzrzzr } 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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