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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 18 May '11

18 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 17 May '11

17 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 16 May '11

16 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 15 May '11

15 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 14 May '11

14 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 13 May '11

13 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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