April 2005 - Fractint - mailman.xmission.com

FOTD 30-04-05 (Electric Discharge [5])
by Jim Muth 03 May '05

03 May '05

FOTD -- April 30, 2005 (Rating 5) Fractal visionaries and enthusiasts: With today's image we return to the Mystic2 formula, a formula I have not used in several years. When used in the normal manner, with the inside set to a flat color, this formula draws nothing but empty circles of radius 1. When an active inside fill is used however, such as the 'bof61' of today's image, this formula fills the empty circle with designs and patterns of the most unpredictable nature. The user-defined function included in the formula simply increases the unpredictability. I named today's image "Electric Discharge". The zig-zag white streaks, which resemble stylized lightning bolts, inspired the name. The rating of a 5 indicates that I consider the image to be an average one. The render time of just over one minute on my 10-year-old machine is fast enough for all but the most impatient. Those with one of the new-fangled Fractint- challenged computers may need to download the image from the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> When I was a child, still in my wonder years, I wondered what electricity is. Now that I am a full-fledged grown-up, I see that no one knows exactly what it is. It's energy, sure enough, and energy is the ability to do useful work, but somehow this does not seem to answer the question of what it actually *is*. Clouds and a chilly temperature of 59F 15C kept the fractal cats within dashing distance of the porch all afternoon Friday. But nothing happened to make them dash. They ended the afternoon with their noses in their food dishes. Today is starting rainy, with showers expected for most of the day. The duo will not like this. For me, it's a moderate amount of work before I can get to the fractals. Tomorrow is a new day, a new month, and a new fractal. Until then, take care, and be sensible but don't be a slave to common sense. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Electric_Discharge { ; time=0:01:13.44--SF5 on a P200 reset=2004 type=formula formulafile=jim.frm formulaname=Mystic2 function=cos passes=1 center-mag=-0.00490732/-0.00490988/9.590991/1/17.5\ /-1.23373533611470521e-014 params=1.435/0.218/-1.8\ 82/-0.465/-1.663/1.558 float=y maxiter=95 inside=bof61 logmap=yes periodicity=10 colors=000UMLeHEXvFcfCjR9C4RN6MX8HgACaV7YU3YmzdXvj\ fvzzzoqnoVkh1aPPl5lvc`qhSasE9mKMmVwoOepIOl3In6Fo8C\ pA9uNvWNzcJgjFPmkio_XpOKUHf_FYeEPkDGPeNZSJhKDDN7Qn\ QVF6`E7fD7lC7lk3QhWcSJEkLS_GdOBdCUhCOkCInCCercicTm\ QIfPciLVlINoFFSVP`OJiIDhW8mM71IY7dWN5YV7Rb9KjBDjRv\ nJXqy7qh7qS7VaI`VFfPClI9wbYuWRtPKrIDvqltcZrQLIYYUQ\ PeJG8i8K`7VT7fK7ebukPWTeYaWPiMGOienC4QQncJTQCtXCgc\ CWjCJ4npZJueGdkEOMXlURaaMSiHH_VFdQDhLBmG9vqqtcarQM\ ej7kxnMmYUcRaVKiLDDEnODcYDTgCIQ5`zh3uS5enChdAkV9nL\ 8`qv44gI3nU6_e9LmAvnBioBXpCK2fXKWO`MFd10dvMkZEHjeR\ aX_TOhKFn0lo4Zp8LtFGsEDrDBqC9hKlkHZnELj5Pn9GDrh5NB\ gdvqj4qZ5qN6XOxgIYvgPtXJrMDA8GWAB5eUURIqDjqCXqCKTc\ J_XGeQDkJAyAhuBQiY2kS4mN5oH60peEeXRWOdMFr2tq5gq7Wq\ AJ9fYbFogE`lDMRzdYmWd`OkOFRcghXGkQDnJA98Iz0kKHc`EN\ asUgdMlQE2TGtC7rC7YSrgKVY_ngOTImi_HkeFYkDKl`gnSVpK\ JsVerOUqIIyGlYdWdVNkLFHSS } 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 29-04-05 (A Quarter of Six [6])
by Jim Muth 29 Apr '05

29 Apr '05

FOTD -- April 29, 2005 (Rating 6) Fractal visionaries and enthusiasts: Today's image shows a midget in the Z^(1.5)+C fractal. As is true with all fractals created with fractional powers of Z, the features are discontinuous. This discontinuity prevents any well-defined pattern from emerging around the midgets in the parent fractal, but there are still less-obvious differences to be noticed. Today's image is one of the more striking ones I have found to date in the fractals with exponents between 1 and 2. I named it "A Quarter of Six", which is not the time of day, but refers to the fact that the exponent of Z, which is 1.5, is one-quarter of 6. The fact that the rating is also a 6 and the render time is 6 minutes is purely coincidental. For the convenience of those who do not render, the finished image may be found on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> With lots of sun and a high temperature of 66F 19C, Thursday was mild enough here at Fractal Central. But the wind was quite gusty, and fractal cats do not like high winds, which cover the sound of approaching danger, so their outdoor time was limited to under one hour. Though they did not demand a tuna treat in the evening, I rewarded them with a treat anyway. This morning is starting cloudy and chilly, with showers forecast. It could be another less-than-perfect day for the duo. For me it looks like a rather busy day coming up. The next FOTD will appear in 24 hours. Until then, take care, and know the meaning of things. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= A_Quarter_of_Six { ; time=0:06:26.73--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotBC2 passes=1 center-mag=+1.04687270978214200/+0.627331687174816\ 60/8625017/1/-37.4999999844678555/-1.3790757487364\ 1359e-008 params=1.5/0/0/0 float=y maxiter=1200 inside=0 logmap=167 periodicity=10 colors=000PDYQGVSJTUMRVPOXRMYUJ_XHa_FbbCdeAeg8eg8d\ f8de8ce8cd8bc8ab8ab8`a7``7__7__7ZZ7ZY7YY7XX7X5lV6i\ U7gS8dR9aPAZOBXMCULDRJEOIFMGGJFHGEIEFGCGEAHC9IA7J8\ 6K64L43M21N00O52P93PE4QI6QM7RR8RV9SZBScCTgDTkE_ZXf\ NodLicJdbH_aFV`EQ_CLZAGY8BX76YDB_IF`OJbTOdZSfcWhj`\ jqdlvhmzlnuknqknnjnjjnfincin_inWhoThpPgqLgrIfsEftB\ fs8cr5`r2YoIPmYHkl9heMe_YbUi_OuZQpYSkXUfWWaVYXU_ST\ aNScIReDRf8SmDTtIUzNYpXaffZebXd_UdXScUPbQNbNKaKIaH\ MegOcgQbgSagU`gV_gXZgZYg`XgbWgcVgeUggTgiSgjRgfPdcO\ b_N`XLZTKXQJVMHSJGQFFOCDM8CK5BI99PC7WF5aI3hL2nIBkF\ KhCSf9`c6i`3qZ6n`9kbCidFffIchLajOZkRWmUUoXRq_OsbMu\ eJwgHxfKweNvdQucTubWtaZsaas`dr_gqZjqYmpXpoXroWolWm\ jWkhWifVgcVeaVc_VaYU_VUYTUWRUUPUSNVVRVXVWZYW`aXceX\ ehYglYioReiKbdEZZ7WU1TP3WN4YM6_L7bK8dJAfIBhHCkFEmE\ FoDGrCItBJvAKx9LyBMzDNzFOzGPzIQzKRzMRzNSzPTzRUzTVz\ UWzWXzYXzZUz_Rz`OzaLzbNz_ } frm:MandelbrotBC2 { ; by several Fractint users e=p1, a=imag(p2)+100 p=real(p2)+PI q=2*PI*floor(p/(2*PI)) r=real(p2)-q Z=C=Pixel: Z=log(Z) IF(imag(Z)>r) Z=Z+flip(2*PI) ENDIF Z=exp(e*(Z+flip(q)))+C |Z|<a } END PARAMETER FILE=========================================

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FOTD 28-04-05 (Hopalong Casualty [6])
by Jim Muth 28 Apr '05

28 Apr '05

FOTD -- April 28, 2005 (Rating 6) Fractal visionaries and enthusiasts: Today's image is named "Hopalong Casualty". I'm not quite sure where I got the name. It might be the name of a 'road-runner' cartoon, though I can't remember which particular one. The image is very brilliantly colored, even if not the most creative of all time. The reds and greens, not to mention the blues and yellows, fairly leap off the screen. This brilliancy raises the rating from a merely average 5 to an above average 6. The news is not all good however. The image is a slow one, taking over 41 minutes to render on my admittedly antique fractal machine. But relief for fractal lethargy is always available on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> where the image will soon be posted, ready for download. A high temperature of 70F 21C with lots of sun and less wind kept the fractal cats in a good mood all day Wednesday. They were a bit spooked by the kids playing around the basketball hoop in the driveway next door, but over all, the day turned out to be an enjoyable one for the duo. Today is starting about the same; I expect more of the same from the dynamic duo. For me, the work is moderate and the fractals seem limitless. The next FOTD will appear in 24 hours. Until then, take care, and be reasonable. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Hopalong_Casualty { ; time= 0:41:41.19--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=recip passes=1 center-mag=-1.65635519344256900/-2.044783397791015\ 00/9.195141e+008/1/90/3.88578058618804789e-016 params=-1/-1.1/-0.25/-4.1/0/0 float=y maxiter=5000 inside=0 logmap=823 periodicity=10 colors=000D_TC_VCYVAYV9YV9WW7WW7WW6VW4VW4TY2TY0TY0\ RY0R_0R_0P_0P_0P_0MT2IN6FI9CCA97D62H20K00N00P00T00\ V70WF0YM7_VC``IbiPdpWfybgzgfzifyidxkdtkbpmbnm`kn`g\ n_fp_bpY`pYYrWVrWTtVPtVMvTKvTHxRDxRCyP9yP7yMAvICrH\ DnDHkCIg9Kf6Nb4P_0RW0VT0WP0YN0_M0`K2bI6bI7dHAfFDgD\ FgDIiCKkANkARm9Tn7Wp6Yp6`r4dt2fv0iv0kx0ny0py0tr0xk\ 0zd0zY0zR0zK0zD0z70z00z00z00z20z60z90xC0rF0mI0iM0d\ P0`R0_V0_W0_Y0__0_`2Yd4Yf6Yg7Yi9YkAWnCWpDWrFWtHWvI\ WxITpFRkCNd9M_7IT4HN0DH0CC07I02N47M9CMDHKIKKMPKRF0\ WF0YH0YI0_I0`K0`K0bM0dM0db0_r9VzFVzHPzHMxIIzIFnKCi\ K9dK4`M0WM0RN0MN0KN0IT0bn0xz2yz7yzCyzFyxKzrNznTziW\ zf`zbdzYizVnzPrzMxzHzzDzz9zz6zz2zz4zx4zt4tp4mm4di4\ Yi0Pf4Rb6T_7VW9VTCWPDYNFYKH_HK`DMbANb7Pd4Tf2Vf0Wg0\ Yi0`k0bk0dm0fn0gn0fi0fd0d_0dV0bP0fM0iH0mC0p70t20x0\ 0z00z20z60z70zA0zD0zF2zI6zM9zNCzRFzTKzWNzYRz`VzbYz\ f`zgfzkizmmzppzrtzvzzvFzT } frm:MandelbrotMix4 {; 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, 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 27-04-05 (Purple Shadows [5])
by Jim Muth 27 Apr '05

27 Apr '05

FOTD -- April 27, 2005 (Rating 5) Fractal visionaries and enthusiasts: Today's image takes us to the northwest shoreline of the main bay of the Mandelbrot set, where we find a midget buried in an area of chaos. We then go deep into the East Valley of this midget, where we find a much smaller midget. This smaller midget lies unresolved at the center of today's image, which I have named "Purple Shadows" for no obvious reason. The rating of a 5 indicates that I consider the fractal to be average. The render time of under 3 minutes is within reason. As has been the case for quite a few years, the completed image is available for download on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> While skimming the thousand-page book "Road to Reality" that I recently purchased, I came upon a passage where Roger Penrose, the author, expresses his opinion that the much vaunted 'theory of everything' (except the mind) could very well be a pipe dream. He suspects that multi-dimensional strings and mem- branes, though interesting, are just another dead end. He specu- lates that, before we can find a true theory of everything, we will have to find a way to include the conscious mind in it. This is basically my own opinion also. Before we will ever solve the big questions of philosophy, we will need to surrender our old view of a world filled with objects out there, separate from ourselves, which we observe from inside our bodies. This view gives us a feeling of security about the foundation of our science, but it just ain't so. What do I have to replace this classic world view? That is the question. The skies remained mostly sunny most all day Tuesday here at Fractal Central, which let the temperature reach a high of 70F 21C. But the wind blew quite briskly during the afternoon, holding the fractal cats' outdoor time to under an hour. Their disappointment made a trip to the tuna closet necessary. Today is starting partly cloudy. The cats' day will likely be better. For me, the work is moderate and the fractals are numerous. Until next FOTD, take care, and the universe is *how* old? Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Purple_Shadows { ; time=0:02:42.19--SF5 on a P200 reset=2004 type=mandel mathtolerance=0.05/1 center-mag=-0.44479131953974950/+0.559494324388213\ 20/3.515691e+012 params=0/0 float=y maxiter=30000 bailout=9 inside=0 logmap=-3848 periodicity=10 colors=000NaaNbZNdZNfZQhZVjcZlgcnlhpqlquqszutzrqyo\ ntlkoihjfeecca``XYYSVVNSSIPPDNN9QMATLBWKBYJC`JDcID\ eHEhGFkFFnFGpEHsDHvCIxCItBJqBKmBLjAMfANcAO_APX9QT9\ RQ9SN9TQAUSAUUAUWAUYAU`AUbAUdAUfBVhBVkBVmBVoBVqBVs\ bVzlVzvZzlazbezAhmAkl9nk9qk9tiJpgNkeRecV_aZU_`OYbK\ WcJUdHSfGQgFQhEPjDPkCPlBPmAMpFKrJItOGvSExWCz`Azd8z\ i6zm4zq7zm9xjCsgEmdHhaJcZMZWOTTROQTJNVEKUINTMPSPSS\ TURWXQ_ZQbaPfcOjeOmhNqjMtmMxoLzrKztKzvMzwOzwQzxSzx\ UzyVzyXzzZzz`zzbyzdxzexz`esXOjsC_qBXpBUoBSnBPlBMkB\ KjBHiBEgBCfB9eB6dB4cFAcJGbNMbRSaUYaYc`ai`eo`htKgm4\ gf5ih5kj6lk6nm7oo7qp8rr8tt8uuArsCoqDloFimGfkIciJ`g\ LYfMVdOSbPP`RMZSJXUGVVDUTEWRFXPFYNGZLG`JHaHIbFIcDJ\ eBJf9Kg8KhHSkQ_mYgofoqowswzutztrxspurnrqlnpjkohhof\ endbmbZl`WkZTjXQiVNiSLiVMjXMkIetHetGftEfuDfuCfuAfv\ 9fv8fvAhwCjwElwGnwIpxKrxMtxOvxQwxbtfoqQppVqo_qocom\ aml_kjZjiXhgWffUedTccRabP } END PARAMETER FILE=========================================

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FOTD 26-04-05 (Ace and a Half [5])
by Jim Muth 26 Apr '05

26 Apr '05

FOTD -- April 26, 2005 (Rating 5) Fractal visionaries and enthusiasts: Today's fractal takes us into the wilderness created by the formula Z^(1.5)+C, where we investigate a valley with a tiny midget in it. The name "Ace and a Half" refers to the exponent of Z. All in all it's an average fractal, perhaps with a bit more delicate feathery detail than usual, but still worth no more than a rating of 5. The render time of over 24 minutes is a bit excessive for such an average image, so the better choice may be to download the completed GIF image from the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> My philosophical thoughts continue, but are unorganized. Right now, I am wondering exactly what is meant by statements such as 'the present state of the universe' or 'at the present time, the universe is 15-billion years old'. Relativity shows that there is no such thing as a present moment of time that exists through- out the universe, since everything in it is in relative motion. Are different parts of the universe a different age even though they all supposedly started at the same time in the same 'big bang' event? Are we seeing the 'twin paradox' in action? Per- haps the whole concept of a universe is a fantasy we invented to squeeze things down to a level that is somewhat intuitive. I'll do some pondering on this situation in the days to come. The weather here at fractal headquarters on Monday was partly cloudy, but the high temperature of 63F 17C was a bit chilly and the brisk wind increased the chill. Seeing these conditions, the intrepid cat duo ventured bravely forth into the yard. They met with little excitement there, and were quite satisfied when they returned to civilization an hour later. My day was satis- factorily busy, with the philosophy progressing slowly. Today is starting sunny, but clouds and rain are due by evening. Hopefully, the cats will finish their adventure early. The next FOTD is due in 24 hours, and the chance of it appearing at that time is almost certain. Until then, take care, and what time is it? Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Ace_and_a_Half { ; time=0:24:37.67--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotBC2 passes=1 center-mag=+0.99063222857496640/+0.778814550180425\ 30/4624.491 params=1.5/0/0/0 float=y maxiter=10000 inside=0 logmap=366 periodicity=0 colors=000UvKUvJTwIRxJTwIVtIXqIZnI`kIbhIdeIfbIg_Ii\ XIkUImRIoOIqLIsIIuFIvCIuFIuHIuJItMItOItQIsTIsVIsXI\ sZIraIrcIreIqhIqjIqlIpmFqnIroLspOtqRurUvsXwt_xubyv\ errjysgxtXwqMxqAvoBumBtlCsjCriCqgDpeDodDnbEmaEl_Ek\ YFjXFiVGhUGgSGfQHePHdNHcMIbKIaII`HJ_FJZEJ_FM`GPaHR\ aIUbJXcKZcLadMceNfeOifPkgQnfQqgRpgRpgSpgSpgTpgTpgU\ pgUogVogVogVogWogWogXogXogYngYngZngZng_ng_ng_ng`ng\ bmgdmgfmghmgjmglmgmminmkokmniongqmesmctmaul_vlYwlZ\ xk_yk`zjayjbxjbwicuidtieshfrhgqhgpghoginfjmfklflke\ mjemienhdogdpfcqecrdcrcbsbbtabu`av_aw`cy_awZ`vY_uX\ ZtWYrVXqUWpTVoSUmRTlQSkPRjOQhNPgNOfMNeLMcKLbJKaIJ`\ HIZGHYFGXEFWDEUCDTBCSABRBAQCBRDBSECTFCUGCVHDWIDXJD\ YKEZLE_MF`NFaOFbPGbQGcRGdSHeTHfUIgVIhWIiXJjYJkZJl_\ Km`KnaLnbLocLpdMqeMrgMsiNtkNumOvoOwqOxsPyuPzwPzxRz\ ySzzUzzVzzWzzYzzZzz_zzazzbzzdzzczzczzczzbzzbzzbzza\ zzazzazz`zz`zz`zz_zztzzuz } frm:MandelbrotBC2 { ; by several Fractint users e=p1, a=imag(p2)+100 p=real(p2)+PI q=2*PI*floor(p/(2*PI)) r=real(p2)-q Z=C=Pixel: Z=log(Z) IF(imag(Z)>r) Z=Z+flip(2*PI) ENDIF Z=exp(e*(Z+flip(q)))+C |Z|<a } END PARAMETER FILE=========================================

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FOTD 25-04-05 (Miscount [6])
by Jim Muth 25 Apr '05

25 Apr '05

FOTD -- April 25, 2005 (Rating 6) Fractal visionaries and enthusiasts: Believe it or not, I have just received a telephone call appar- ently from India, informing me that I have been randomly selec- ted to receive a free cell phone. It is a mystery why the phone company had to go so far afield to let me know of my good for- tune. Perhaps they are seeking cheap labor. Or perhaps they are a clandestine alien scout team from another world that has come to irradiate our brains into non-functionality, so that we will be unable to offer effective resistance when the main invasion force arrives to enslave us. ;-) Of course, they could do this just as easily by addicting us to fractals. Today's fractal image shows a Mandelbrot midget that can't get its math right. It is a quadratic midget surrounded by six identical features rather than the expected four. The iterated formula combines portions of Z^(-1.5) and Z^(-4.5) then adds (1/C) to produce another of those sprawling fractal. Today's image was found in a valley of its parent. Judging from the bug-eyed double-spiral features that infest the image, the valley in which it lies must have 'East Valley' char- acteristics. I have no idea why the expected 2,4,8... series of elements has broken down. Maybe the series is still there, but has been disguised by the inconsistent sizes of the features. I named today's image "Miscount" in reference to the wrong number of features around the midget. The image rates a 6, which would appear to be justified. The render time of 5 minutes may be cut drastically by downloading the pre-rendered image from the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Unfortunately for any philosophy fans who yet have hope, my philosophical views are undergoing a change, which I will need to work out. My mistake was that I promised earth-shattering conclusions at a definite time. The philosophy will eventually appear when I get it right. I have no idea when that will be. At this point, my conclusions are so far out as to appear kooky. I am not particularly offended at being considered a kook, but kooky claims, especially earth-shattering ones, must be at least a little believable. With a high temperature of 48F 9C, heavy clouds, blustery winds and occasional light showers, Sunday was anything but spring- like here at Fractal Central. The cats returned inside after only a few minutes in the yard. I had my nose in my book most of the afternoon. The next FOTD will appear here in 24 hours. Until then, take care, and be alert. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Miscount { ; time=0:04:58.14--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=recip passes=1 center-mag=+2.44071194518632700/+0.111691600345395\ 40/693633.5/1/132.5/5.05031376163422863e-008 params=-1/-1.5/-0.25/-4.5/0/0 float=y maxiter=1000 inside=0 logmap=87 periodicity=10 colors=000FRzGTuHQvIMwJJxJGxPMxUSx_Yxdbxjhxonxutxz\ yxrwkkv_cuOXtCQs0Tp1Vm1Xj1Zg1`d1ba1e_2gX2iU2kR2mO2\ oL2qJ2pG6pEAoCEoAIn7MzZQz3UmZrl4Yk6zj9_iB`hDagGbgI\ cfKdeNedPfcRgbUhaWiaYiaWjaUkaTkaRlaPmaOmaMnaKoaJoa\ HpaGp`Ii_KbZMWYOPXQIWSBWT5ZR9`QDcOHeNLgLPjKTlIXoH`\ qFdsEhvClxBpzAtpIjfP`XWRNbHEi8EfBEcDEaFEZHEXJEULER\ OEPQEMSEKUEHWEFYJIZNKZRNZVPZZRZbUZfWZjYZn`ZrbZvdZi\ YZfZYdZXb_W`_WZ`VX`UVaTTaTScRSdPSfNRgLRhJRjHQkFQmD\ QnBQo9SjATfBVaCWYDYTEZPF`KGaGHcBId7Je3K`6LW9LSCMNF\ MJINELNAOO5RO1UOD_ZOehZjrWenT`jQXfarkbsibsgctectcd\ uadu_duZYoUSjPMeKF`F9WA3R5FVBRYGa`LZYQXWVVT_TRdRPh\ dsZfkVhdRjYNlQJnJFpCBkBHfBMaARXAXS9aN9fI9kHGiHMgGS\ eGYcFdaFj_EpYEvW9wO5xHByGHzGMzFSzFYzFbzEhzEmzEnzFo\ zGpzDqzBrz9sz7tz5uz3vz6wz9xzByzEzzHzzJzzMzzOzzRzzU\ zzWzzZzzazzczzfzzhzzfzzdzzezzezzezzfzzfzzfzzfzzgzz\ gzzgzzgzzhzzhzzhzzhzztzzt } frm:MandelbrotMix4 {; 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, 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 24-04-05 (What's up Doctor? [7])
by Jim Muth 24 Apr '05

24 Apr '05

FOTD -- April 24, 2005 (Rating 7) Fractal visionaries and enthusiasts: Today's image is named "What's up Doctor?". This has nothing to do with a certain well-known rabbit. I simply gave it that name because these words were the first to come to mind when I saw the image. (Sometimes I like to leave the room while fast fractals are rendering, and give myself a surprise when I return.) And let's face it, the image is unusual enough to justify the name. The parent fractal, which combines negative portions of Z^(-1.5) and Z^(-3.5), then adds (1/C), is one of those huge sprawling affairs that needs an outzoom before it fits onto the screen. Today's scene is found in the vicinity of a valley, which the parent fractal has many of. Surprisingly, the image was rendered with the outside set to the ancient setting of 'iter'. (No one uses that setting nowadays. We have long ago seen all it has to offer, and far better things are available.) The image is good enough to earn its rating of 7. Its render time of 2-1/2 minutes can be cut to 1-1/2 minutes by switching the passes to g. And if all else fails, the image may be down- loaded from the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Saturday turned out better than expected here at Fractal Central, with ample afternoon sun and a high temperature of 72F 22C. True, a thunder-storm moved in at 6pm, with wind, heavy rain, pea-sized hail and crackling lightning, but by then the cats had completed their daily adventure in the outdoors, and had taken shelter in the large closet. This morning is starting sunny but quite a bit cooler. It should be good enough for the duo. A book arrived in the mail yesterday, "The Road to Reality" by Penrose, which looks quite interesting. I think I'll give it a quick read (if possible) before continuing with my speculative philosophy. There might be something in it that will change one of my opinions. The next FOTD fractal will appear 24 hours from now. Until then, take care, and maybe the reason we can't find reality is because nothing is real. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= What's_Up_Doctor { ; time=0:02:39.34--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=recip passes=1 center-mag=+2.44491651853969700/-1.039215140847656\ 00/571.2366/1/-137.5/-6.58972182376871274e-012 params=-1/-1.5/-0.3/-3.5/0/0 float=y maxiter=500 inside=0 logmap=43 periodicity=10 colors=0004JP6PS6VV6VX4__3c`1gc0jd0of0si0xj0zl0zo0\ zp0zrgzzazjzypzydzyTzyIzy6zp0zi0zV4zF9z0DOizMdyL`u\ JXpISlGOgGLdFG`DCXC7SA3O90J90GA0LC3PD7TFAXGF`IIdJM\ iJPlLTpMXuO`yPczQgzSjzSmzPjzMizJgzGfvDdrAcm9`i6_d3\ Y`0XX0VS0TO0SL0PO0MP0LS0IT0FX0DY1A`37a46d43f60i70j\ 90m90oD0lG0jL0iO0gS0dV0c_0aa0`f0Yi0Xm0Vp0Ts0Ss9QsL\ P`DQI6S00TC0SO_dFr7LvJPyVTzfS00VTPz0`pYiT0vz00sGDl\ YQdoddzY00sGVrCA0OcM0l`Ivi007Iy0OzCTzY4z_Jzizx0uXM\ ioa0Gf3TiDflOsoiv0fy6czM`za00i3MlJiosz7gzVA0zMYxJI\ 30GT`udm6vg0aa0Md0df6vgFzpSrydXzpAzjJzdSz_`yTgpQii\ Oi`LiTJiVapXuvszzmzzgzxazuOP3TjTjVffgjauog4zzz0mzQ\ FLQPidFzpQArTVrXmr9jPMvcXxxzJyx`vjpsI0zgV0amO04CF`\ YOz07jXFpaLvgSzmV6Tz0cpOifjmQMIyzmrzojzpczrV6OTAJX\ c`1zsAzrIzrQzrzzTyDYjdg0zoAzpMzrSDx07z9OzIaxQruaXa\ _ojm_Xigadpg`ym60zGFxPfuvSPilc00zFVx0ro9vpIypQzrz4\ Ym`g`DPV4oXQpYlr0zz4VJ4VM } frm:MandelbrotMix4 {; 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, 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/Xfractint version 20.04 patch 1
by Jonathan Osuch 23 Apr '05

23 Apr '05

The latest patch to Fractint/Xfractint is now available at www.fractint.org. There are no diff files because I restructured the source to make it easier to maintain. I did provide source trees. What new: Added the mathtolerance and orbit_delay parameters to values written to PARs and GIFs. Fixed how a mathtolerance parameter with a slash and a second number, but no first number is read in. The slash was being interpreted as a double. Stole the <p> key for use by passes options. If you are brave enough to try it, printing is still available using <ctl-p>. Put periodicity and orbit delay on the new <p> screen. There are currently two drawing modes available for the passes=orbits option. The rect(angle) method plots the orbits in a rectangle that can be zoomed, rotated, and skewed using the <F6> corner parameter screen, and the straight line method plots the orbits between two points specified on the <F6> corner parameter screen. The orbit interval parameter plots every nth orbit. The maintain screen coordinates parameter lets you zoom into an image changing the coordinates of the line or rectangle used to generate the image, but keeps the display coordinates, set on the <F2> screen, the same. Updated the docs for center-mag and corners because center-mag is now the default. Restructured the source to make it easier to maintain. Jonathan

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FOTD 22-04-05 (Elephant Seahorses [5])
by Vortex Swirling 23 Apr '05

23 Apr '05

On the FOTD page the 22-04-05 par is called "Mainline_Railroad"! With a name like that its almost a good thing it doesn't work either, there is something wrong with the color parameter. But how did this par get there instead of Elephant Seahorses!? -- No virus found in this outgoing message. Checked by AVG Anti-Virus. Version: 7.0.308 / Virus Database: 266.10.2 - Release Date: 4/21/2005 -- No virus found in this outgoing message. Checked by AVG Anti-Virus. Version: 7.0.308 / Virus Database: 266.10.2 - Release Date: 4/21/2005

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FOTD 23-04-05 (Fractal Fade-Out [4])
by Jim Muth 23 Apr '05

23 Apr '05

FOTD -- April 23, 2005 (Rating 4) Fractal visionaries and enthusiasts: The most fun with today's image is not in the finished product -- it is in the rendering. The image was rendered with the passes set to 'b', which traces the boundaries between areas of different color. This option does not work with many images, because it traces around and misses disconnected features, but it works quite well with today's image, where it goes merrily along its way, tracing out a loosely connected shaft of dissipa- ting features. The features are dissipating because they lie over a solid area of 'outside' material with an iteration count around 660, and they will be visible only if their iteration count is under this figure. The iteration count of the shaft increases from right to left, and reaches the count of the background near the left edge of the frame, where the shaft is totally absorbed. The image was done in haste, and as a result can be rated no higher than a 4. I named it "Fractal Fade-Out" because the shaft fades out as it moves from right to left across the screen. The render time of 5 minutes is worth the wait. The passes=b option is quite interesting to watch in action. Those who would rather not render may download the already rendered image from the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> In yesterday's FOTD I wrote that, unless something unexpected happened, the next installment of philosophy would appear in today's discussion. Unfortunately, something unexpected (a load of work) did happen, and the philosophy will not appear for another day or two. Heavy clouds, occasional light rain and a chilly temperature of 50F 10C kept the fractal cats confined to the porch on Friday. They were as happy as could be expected considering the condi- tions. Today is starting cloudy and warmer, but with rain in the forecast. The cats will survive somehow. I still have quite a bit of work to clear away before turning to the land of fractals. The next FOTD will appear in approximate- ly 24 hours. Until then, take care, and fly with the eagles. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Fractal_Fade-Out { ; time=0:05:15.99--SF5 on a P200 reset=2004 type=hypercomplexj function=sqr passes=b center-mag=-0.43712437534315190/+0.155868892368191\ 60/132.931/1/17.5/1.40332190312619787e-013 params=-0.2402112676056374/0.004564196242171182/0.\ 01/0.51/0/0 float=y maxiter=1000 bailout=9 inside=255 outside=imag periodicity=0 colors=000iUofTodSnaRn_QmXPmVOlSNlQMlRLjSLhTLgULeU\ LdVLbWLaXL_XLZYLXZLW_LU_LTcI_fFejClm9rp7xoCqnHkmMe\ lR_lVUk_OjdIiiChn6hr0s_M4Y0ldXTVf9LoCNnEOnGQnIRnKT\ nMUnOVnRXnTYnV_nX`nZbn`cnbdn_ckXchVceSccQc`NcYLcWI\ cTFcQDcNAcL8cI5cF3cDA_KHWQOSWUOa`KggGmmDsMd3KPKJA`\ NCYQEWTFUWHS_JQbKOeMLhNJlPHoRFrSDuUBxV9tYDp`HlcLhf\ PehTakXYn`UqdQthNvlMuhMueMubMt_MtXMtULsRLsOLsLLrIL\ rFLrCImDFhEDdFA_G8WH5RI3NI7NLANOENRHNULNXON_SNbVNe\ ZNhaNkeNnhNpeOmbPj`QgYReWRbTS_QTXOUVLVSJVPGWMDXKBY\ H8ZE6ZCCVRIReNNsaeuowvgpt`jrUdqNYoGSm9Ml9Ll9Ll9Kl9\ Kl9Kl9Jm9Jm9Im9Im9Hm9Hm9HmAInAInBInBInCInCInDInDJn\ DJoEJoEJoFJoFJoGJoGKoGKoHKpHKpIKpIKpJKpJLpKLpKLpKL\ qLLqLLqMLqMMq`QuNMqNMqNMqOMrOMrPMrPNrQNrQNrRNrRNrR\ NsSNsSOsTOsTOsUOsUOsUOsVOtVPtWPtWPtXPtXPtYPtYPtYQu\ ZQuZQu_Qu_Qu`Qu`QuIfGJeHJeIJeIKdJKdKKdKLdLLcMLcMLc\ NMcOMbOMbPNbQNbQNaROaSOaS } END PARAMETER FILE=========================================

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