May 2011 - Fractint - mailman.xmission.com

Re: [Fractint] FOTD 27-05-11 (An Incredible Hole [8]) Type: Text
by Brian Prentice 27 May '11

27 May '11

A very beautiful image Jim, I hope you spend more time with this fractal and devote future FOTD's to it. There are many more fascinating details to be found, for example my favorite so far is this spiral: http://linuxenvy.com/bprentice/Fractals/Set%2016/BP_16_06d.png which can be found on the edge of the minibrot in the area closest to the hook. Brian Prentice

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FOTD 27-05-11 (An Incredible Hole [8])
by Jim Muth 27 May '11

27 May '11

FOTD -- May 27, 2011 (Rating 8) Fractal visionaries and enthusiasts: Today's image shows one of the many holes that lie near the base of the hook in the image of May 23, when the exponent of the image is lowered from 1.08 to 1.078 and the minibrot tracked down. I named today's image "An Incredible Hole" because in some ways the attributes of the central hole are as unbelievable as some of the kooky claims now circulating among the credulous. (But remember that a claim is not necessarily false simply because rationalists disbelieve it.) To emphasize the hole's unusual qualities, I brought it to active life by rendering the scene with the inside set to 'bof61'. (When the hole appears as a flat black area, some of its impact is lost.) The bluish-pink coloring of the hole is unintentional. It came about by lucky accident. The hole is a true hole, and not simply an artifact of too low a maxiter. I tested the scene with a maxiter of 1,000,000 and found the hole unchanged. The amazing thing about this hole became obvious when I decided to count the number of large lobes around its edge. After several failed attempts to get an exact count, I realized that I would never get the count correct, for the large and small lobes with all their sub- and sub-sub-lobes, are of one and the same series. The total number of lobes is therefore infinite. The inside of the hole in today's image is actually an extension of the minibrot in the original 'minibrot for the ages' image. The original minibrot extends invisibly under the surface debris of the original image, well beyond the hook. The rating of an 8 seems justified. If I had put a bit more effort into the coloring, I might have rated it an 8-1/2. The finished image is available on the internet at: <http://www.crosscanpuzzles.com/Archives.html> and in high definition at: <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> The original web site may be accessed at: <http://www.Nahee.com/FOTD/> Thursday turned into a midsummer-like day here at Fractal Central, with enough heat, haze and humidity to satisfy the most ardent hot weather lover. The high temperature of 90F 32C totally satisfied the fractal cats, who stretched to their full cat lengths to show their pleasure. As of post time, a warning on the TV Weather Channel (I call it the Commercial Channel) of possible tornadoes in the area had proved to be a scare rather than a forecast. The humans had a relatively slow day, which was good in some ways, but not so good in others. If nothing goes wrong, which is usually the case, the next FOTD will be posted in 24 hours. Until then, take care, and yesterday's kookiness sometimes proves to be today's scientific fact, but before the question is settled scientifically, how does one tell the true kookiness from the kooky kookiness? Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= An_Incredible_Hole { ; time=0:08:12.85-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=MandelbrotBC3 function=recip passes=1 center-mag=-0.000750885846/+1.174041344618/144809\ /1/-47.5/0 params=1.078/0/16/525 float=y maxiter=4000 inside=bof61 logmap=-250 periodicity=6 colors=000zf0ze0ze0zc0yb0yb0wa0va0v_0tZ0tZ0sX0qX0q\ W0pW0pU0oT0mT0mR0lR0zhvjQ0iO0zaohN0hM0zUhfK0eI0vNU\ cH0oFNoF0h7F_E0a07ZC0Z07aB0W00W00U70U00T60R00R40Q2\ 0Q00O00N00N00L00J00H00G00F00F00C00A007009005005002\ 00300800A00H00H20N40N60O70Q90QB0RC0TC0TE0UF0UH0WI0\ XK0XM0ZN0_O0_Q0aR0aT0eU0hW0mX0rX0vZ0z_0za0zb0zd0zg\ 0zi0zl0zm0zm0zm0zm0zm0zm0zm0zl0zk0zj0zi0wh0wh0yh0y\ h0zh0zh0zh0zh0zh0zh0zh0zh0zh0zh2zh2yh4wh4ehZehZfh_\ fh_hh_hhaihaihaihajhbjhbjhblhblhblhcmhczUczUczUczU\ czUezUezUezUezUezUfzUfzUfzUfzUfzUfzUhzehzchzbhzahz\ _izZizXizWizUizTizRjzQjzOjzNjzMjzKlzIlzHlzFlzElzCl\ zBmz9mz7mz6mz4mz2oz0oz0oz0oz0zz0zzKzzKzzKzzKzzKzzK\ zzKzzKzzKzzKzzKzzKzzKzzKzzKzzKztKzvKzvKzvKzwKzwKzw\ KzyKzyKzzKzzKzzKzzKzzKzzKzzKzzUzzUzzUzzUzzUzzUzzUz\ zUzzUzzUzzUzzUzzUzzUzzUzzUzzUzzUzzUzzUzzUzzUzzUzzU\ zzUzzUzzUzzUzzUzzUzzUzzUz } 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 26-05-11 (Cells of a Fractal Tree [7])
by Jim Muth 26 May '11

26 May '11

FOTD -- May 26, 2011 (Rating 7) Fractal visionaries and enthusiasts: Today's image takes us back to the original fractal tree that appeared as the FOTD for May 23, 2011. Today, instead of focusing on the entire tree, we venture deep into its fractal wood to check its internal cellular structure. What we find there is a field of strange flattened cells that look like they have been squashed in a press. But even more startling is that the field of cells appears to stretch into the distance toward a horizon, making a scene that could possibly exist on an alien planet circling another star. It's not so unexpected. After all, in the original discussion I did comment that these fractal trees also make good alien landscapes. To bring out the landscape effect, I gave the sky a shade of deep blue, which might be found on a planet with a thinner atmosphere than earth's. Luckily, unlike on Mars, there is no dust in this atmosphere to spoil the purity of the blue sky overhead. The name "Cells of a Fractal Tree" describes the coral-colored objects in the image. The rating of a 7 indicates that I consider the image to be above average but not exceptional. The finished image is available on the internet at: <http://www.crosscanpuzzles.com/Archives.html> and in high definition at: <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> The original web site may be accessed at: <http://www.Nahee.com/FOTD/> Total sunshine prevailed here at Fractal Central on Wednesday. The sun, along with the temperature of 82F 28C, made it one of the finest days of the belated spring. The fractal cats passed the day lazily watching the world go by, but snapped to full alertness when Cassie spotted a bedraggled long-haired white cat prowling in the back yard garden. The humans' day was acceptable. Other than working, I spent much of the day watching the tornado action on the Weather (and advertisement) Channel. FL spent some time working on her 'CrossScan' puzzles and hoping they become a big hit. I helped her hope. The next FOTD will be posted in 24 hours. Until then, take care, and if at first you don't succeed, try and try again -- and then give up. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Fractal-Tree_Cells { ; time=0:01:00.06-SF5 on P4-2000 reset=2004 type=julzpower center-mag=+0.1591795970\ 85/+0.522912404175/5340717/1.4756/2.75/0 params=-0.1964/0/1.5/0 float=y maxiter=1500 bailout=25 inside=0 logmap=122 periodicity=6 colors=0002AU4AW6AY8A_AAaCAbEBdGDfIGhKKjMOlOSnQWpS\ _rUctXevYgxZizYkzYmzZoz_qzaqzdqzgrzjrzmrzmszmszmsz\ mtzmtzmuzmvzmwznxzoyzpzzqzzrzzszztzzcUOfWKdZNc`Qab\ T`eWZgYYi`WlcVnfTphSskQunPwqOysLsoImlFhiCbe9Yb6S_3\ NX9RZFU`LYaR`cXcdbgfhjhnnitqkytlwravqSuoHtn7rcIqTS\ pJaoHcnFemDglBik9kj7mi5oh3qg1sf0ue4vd7vdcdefcghahk\ `inZjpXksWlvUmxTnuUosUopUpnUqlUqiVrgVseVsbVt`VuZVu\ WWvUWwSWwPWxNWxLWvMVuMUtNUrNTqOSpOSnPRmPRlQQkQPiRP\ hROgRNeSNdSMcTMbTL`UK_UKZVJXVIWWIVWHUWHTXERYFQZGPZ\ HN_IM_IL`JJ`KIaLHaLFbMEbNDcOCcOBeSBfVAgYAi`9jc9kf8\ mi8nl7oo7prDjjIecN_XSVQQTPOSONRNLQNJPMIOLGNLEMKDLJ\ BKI9JI8IH6HG5GGAFJFFMKFPPESUEUZEXcD_hDbmDdjCagC_eC\ XbCV`BSYBQWBNTBLQAJOAGLAEJABG99E96B94992FE8KIEPMKU\ RQZVWcZahbfiZhiVjiRliNniKpiGriCti8vi5xayQcoXeecfXi\ eYfdYdcYbbZ`aZZ`ZX__VZ_TY_RWYUUWWSUYRS`PRbNPdLNfKL\ iIJkGImEGoDErBCtaWibZhc`f } END PARAMETER FILE=========================================

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FOTD 25-05-11 (Demystified Midget [6])
by Jim Muth 25 May '11

25 May '11

FOTD -- May 25, 2011 (Rating 6) Fractal visionaries and enthusiasts: In today's FOTD I have another go at the 'Minibrot for the Ages' that appeared as the FOTD for May 21. Well, actually it's not the same minibrot. The May 21 minibrot has an exponent of 1.08, while today's version has an exponent of 1.0745. As the exponent is reduced, the prominent hook changes into an arch, and the entire minibrot moves toward the main bay of the parent fractal, where it is quickly swallowed up. Today's image catches it as it plows through the fine grit on the shore line of its parent's main bay, shortly before it dives into the bay. To get top detail, it was necessary to render today's image at a maxiter of 32,000, which increases the calculation time to an annoying 40 minutes. The image was rendered with the outside set to 'fmod'. This is a mistake, since I wanted to try the scene in the normal outside=iter manner. But by the time I had realized the error, 40 minutes had passed, and the image was finished, and it even looked rather pleasing, so I let it go as FOTD for May 25. The name "Demystified Midget" indicates that all those strange holes around the base of the hook of the original version are actually parts of the second half of the minibrot peeping through. Today's image removes all doubt that half of the original minibrot is actually obscured from view. The rating of a 6 is for artistic value. The mathematical value is closer to a 9. To view the scene, either run the included parameter file or view the finished image on the FOTD web site at: <http://www.crosscanpuzzles.com/Archives.html> A high-def version will soon be posted 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 mix of sun and clouds, and a summer like temperature of 81F 27C made Tuesday a near ideal day here at Fractal Central. The fractal cats must have agreed, for they spent an unusual amount of time watching the outside world, which is a cat's TV. The humans had an uneventful day. This is always a good thing, and if tomorrow is just as good, the next FOTD will be posted in 24 hours. Until then, take care, and never say never. If things keep going as they are, one of these days we may find that one plus one suddenly equals three. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Demystified_Midget { ; time=0:40:43.14-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=MandelbrotBC3 function=recip passes=1 center-mag=-0.20382948/+1.15808753/112/1/-105/0 params=1.0745/0/16/525 float=y maxiter=32000 inside=255 outside=fmod periodicity=6 colors=000QDgQDgQEgPEgPEgPEgPFfPFfPFfOFfOGfOGfOGfO\ GfOHfNHfNHfNHfNIfNIfNIfMIfMJfMJfMJfMJfMKfMKfLKfLKf\ LLfLLfLLfLLfKMeKMeKMeKMeKNeKNeJNeJNeJOeJOeJOeJOeIP\ eIPeIPeIPeIQeIQeIQeHQeHReHReHReHReHSeGSeGSeGSeGTdG\ TdGTdFTdFUdFUdFUdFUdFVdEVdEVdEVdEWdEWdEWdEWdDXdDXd\ DXdDXdDYdDYdCYdCYdCZdCZdCZdCZdB_cB_cB_cB_cB`cB`cA`\ cA`cAacAacAacAacAbc9bc9bc9bc9cc9cc9cc8cc8dc8dc8dc8\ dc8ec7ec7ec7ec7fb7fb7fb6fb6gb6gb6gb6gb6hb6hb5hb5hb\ 5ib5ib5ib5ib4jb4jb4jb4jb4kb4kb3kb3kb3lb3lb3lb3lb4l\ c3hb2db2Xa1Pa1H`09K01K12K23K23K34K45L45M56N67O67P7\ 8Q79R89S9AT9BUABTBCTBDTCDUDEUDEUEFVEGWFGXGHXGIYHHY\ IIZIJZJJYKJYKKYLJYLKYMKYNKYNLYOLYPLYPMYQMYQNYRNYSN\ XSOXTOXUOXUPXVPXWPXWQXXQXXQXYRXZQXZRX_SX`SW`TWaUWb\ UWbVWcWWcWWdXWeYWeYWfZWg_Wg_Wh`Wh`WiaViaViaViaVjaU\ jaUjaUjaUkaTkaTkaTkaTlaSlbSlbSlbSmbSmbRmbRmbRnbRnb\ QnbQnbQobQobPobPocPpcPzzz } 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] MinibrotForTheAges
by JackOfTradeZ＠comcast.net 24 May '11

24 May '11

. ""If you change the real value of parameter 1 from 1.08 to 1.078, draw the midget corresponding to the one you posted today and then look at the south east side of the hook, you will find an area with an infinite number of midgets or holes. "" When I change from 1.08 to 1.078 I just get a pink background with a few jagged islands - no "hook" or main midget. What am I doing wrong? ""Here is a picture of that area: http://linuxenvy.com/bprentice/Fractals/Set%2016/BP_16_06a.png and here is a detail of one of the midgets or holes: http://linuxenvy.com/bprentice/Fractals/Set%2016/BP_16_06b.png"" Awesome pics - could you just post the 2 PARS for them? .

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Re: [Fractint] Fractint Digest, Vol 99, Issue 15
by JackOfTradeZ＠comcast.net 24 May '11

24 May '11

. ""If you change the real value of parameter 1 from 1.08 to 1.078, draw the midget corresponding to the one you posted today and then look at the south east side of the hook, you will find an area with an infinite number of midgets or holes. "" When I change from 1.08 to 1.078 I just get a pink background with a few jagged islands - no "hook" or main midget. What am I doing wrong? ""Here is a picture of that area: http://linuxenvy.com/bprentice/Fractals/Set%2016/BP_16_06a.png and here is a detail of one of the midgets or holes: http://linuxenvy.com/bprentice/Fractals/Set%2016/BP_16_06b.png"" Awesome pics - could you just post the 2 PARS for them? .

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FOTD 24-05-11 (Bubbles in Numbers [6])
by Jim Muth 24 May '11

24 May '11

FOTD -- May 24, 2011 (Rating 6) Fractal visionaries and enthusiasts: When certain people have trouble sleeping, they sometimes count sheep. When I can't sleep however, I begin mentally exploring an imaginary four-dimensional world. My imaginary world is truly four-dimensional; the problem is that I can mentally ex- plore it only one 3-D slice at a time. As our planet earth has a curved two-dimensional surface, my 4-D world has a curved three-dimensional hypersurface. On earth, two coordinates, latitude and longitude, are necessary to posi- tion a point; on my 4-D world, latitude, longitude and lithi- tude, (my own invention), are required. Moving in the lithi- tude direction does not take us into the sky or underground; it moves us in the third dimension, flat along the hypersurface. To reach a given location on this 4-D world, we start at the zero-zero-zero point on the equator, which is a great circle that circles the planet just as earth's equator does, and from there we travel until we reach the correct longitude. Now we find ourselves with a problem. Before we can set off toward the pole, we need to determine in which direction to go. On earth there are two directions, north and south, leading toward the two polar points; on my 4-D world there is a full 360- degree circle of directions extending from the equator, each direction leading to a distinct point on the polar circle. The direction in which we must travel away from the equator is the lithitude. Once we have chosen the lithitude, we need the lati- tude coordinate, which tells us how far to go toward the polar circle in the direction we are traveling before we reach our destination. But even stranger things than this happen on my planet. There is also the matter of rotation. On earth, rotation is a simple thing -- the planet rotates on its axis, a line that extends through the globe from pole to pole. But on my 4-D planet, the axis of rotation is a plane that cuts the hypersurface along the polar circle, a curiosity that causes complications. The problem arises because the polar plane exists in two dimen- sions that are stationary even as the planet rotates around it. The polar plane is therefore free to rotate on itself, with the equator as the axis of its rotation. And in a universe with 4-D gravity, it is unlikely in the extreme that the polar plane does not have at least some degree of rotation. The 4-D planet is subject to two independent rotations at the same time. Every point on the hypersurface as well as every point within the planet is tracing out what is known as a surface of double revol- ution, a kind of 4-D donut. Things on the surface of my planet move in paths resembling spirals, which curve back on themselves into closed loops. This means that the stars in the hypersky must move in helixes. What fun it must be to set up camp in some dark spot on the hypersur- face of my hyperplanet and point a hypertelescope at the hyper- stars and hyperplanets. The hypertelescopic clock-drive would be a complex device, but I'm sure that it could be made. If the two rotations are equal, things get even more complica- ted, but this is a story for another day. For now, we have a fractal to investigate. Today's image lies in the parent fractal that comes about when Z^(1.25) is subtracted from Z^(-1.75) before (1/C) is added on each iteration. This parent is more a field of debris with two large Mandeloids than a single object. Today's scene is located in some debris lying between the two largest Mandeloids. There is not much to be said about the fractal, so I'll let it speak for itself in visual terms. The name "Bubbles in Numbers" refers to the bubbly shapes in today's image and also to the fact that fractals are made of numbers. The rating of a 6 indicates that the image has room for improvement. To view the image, either run the included parameter file or go to the FOTD web site at: <http://www.crosscanpuzzles.com/Archives.html> The high-definition version of the image is posted at: <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> The classic FOTD web site may be accessed at: <http://www.Nahee.com/FOTD/> There were too many clouds at Fractal Central on Monday for the day to be considered a good one. The temperature of 75F 24C was fair enough however. The fractal cats spent the day plotting mischief, but fell asleep before they could put their plot into action. In the afternoon a tornado warning came over the radio, but the storm passed over with only a strong wind squall and a torrential rain. The day of the humans was one more in an unending series of similar days. But the older one grows, the more such uneventful days are appreciated. The next in the unending series of FOTD fractals will be posted in 24 hours. Until then, take care, and when do we get to see the all of fourth spatial dimension in one moment of time? Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Bubbles_in_Numbers { ; time=0:00:30.04-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=MandAutoCritInZ function=recip float=y center-mag=+0.03748573643483764/-0.655971033500649\ /1.5667e+010/1/-35/0 params=-1/1.25/1/-1.75/0/0/0/0 maxiter=500 inside=0 logmap=57 periodicity=6 colors=0000440650962C74F86I9AL7DO5HV4Kd2Nl1cu2tz2h\ ZPK35Q46X47b48h59n5AuKBzPBsKGk8Lc9QXAVjBnkGelKYmOQ\ nSIoWAp_2sWLvSbyOtv`atlJqfMnaOkXQhRTeMVbHXaMa`Qe_V\ iZZmYcqXguXky`lndmdgnVkoLnoBLCIF_J9wKLaUXHceMjmRqu\ WxrSppOimKbkGWhCPf8Id5Bc6Eb7Ha8K`9M_APZBSYBUdjo_il\ WijRigNieIicEi`9iZ5iXPVfgGpz1yy2xx3wx4wvAutGtsLrqR\ qpWonanmfmkiqjlthowgqzajpXdgRZYMTPHNGVVNgbUti`neai\ aacZaZVaTRaOOaIKaDHaDGbDFbDEcDDcHCdLCdPBdTBdXBdYAc\ Z9cZ9cSCaLF_EIY7LW0NV4TS8YQCbNFgLJlINqGQvEMbCIJAF0\ 8E62TGJXLL`QMcVOg_PkdRniSrnUurVqrUmrTksYitagueevic\ wmbxq`toZqnXnlWkkUgjSdhQagPZfPYeQXcQWbQW`QVZQUYRTW\ RTVRSTRRSRQQRQPTOQVMQXKRZIR`GSbESdCSfATh8Tj6Ul4Um2\ Uj5Vh8WfBWcEXaHY_KYXNZVQZTT_QW`OZ`MaaKdaUH0`IDVH2W\ H3XH5YH6ZH8_H9`HBDSaHQYKPVNNSQMPTLLWJIZIFRx_StYTqW\ UnUVkTVhRWePXbOYZMZWKZTI_QH`NFaKD5Qd8PaBO_ENXGNVJM\ SMLQPKORKLUJJUTeOWXJZNDaD } 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 23-05-11 (The Original Tree [No Rating])
by Jim Muth 23 May '11

23 May '11

FOTD -- May 23, 2011 (No Rating) Fractal visionaries and enthusiasts: Today, with time at a premium, it's back to fractals-101. When I booted the first version of Fractint that had the ability to calculate fractional powers of Z, the first formula I tried was the type=manzpower, and the second thing I did was check the Julia set of the point on the negative X-axis where the western shore line of the main bay lies. What I found was a fractal that rather resembles one of those extinct marine animals known as trilobites. But an animal that once oozed through prehistoric sea-floor slime makes a poor model for a fractal. Luckily however, the trilobite was surroun- ded by a ring of graceful though stylized fractal trees. One of these trees appeared as one of the very first FOTD images, though that image was calculated at a much lower maxiter than today's version. The original version cut off the deep spirals that engulf the sides of the crown of the tree. I could not give a rating to today's image. I put relatively little coloring effort into it, and it must be about the eighth fractal tree in FOTD history. The name "The Original Tree" simply reminds the viewer that such a tree was the first of the infinity of fractal trees that I stumbled upon. Actually, this fractal tree stuff is quite common in the fractals created with fractional exponents, and can be turned into several other rather convincing things such as fractal landscapes on alien planets. The finished image is posted, already calculated, at: <http://www.crosscanpuzzles.com/Archives.html> The hi-def version of the finished image is at: <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> The classic original FOTD web site is at: <http://www.Nahee.com/FOTD/> Saturday turned into the most pleasant day in over a week here at Fractal Central, with partly cloudy skies and a temperature of 81F 27C. A few showers were scattered around the area, but they all missed FC. Sunday was not so pleasant. The sky was totally cloudy and the temperature reached only 73F 23C. The fractal cats had two uneventful days, spent mostly sleeping. The next FOTD will be posted in 24 hours. Until then, take care, and do well in your endeavor. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= The_Original_Tree { ; time=0:00:32.35-SF5 on P4-2000 reset=2004 type=julzpower center-mag=0.238352/0.49\ 311/6.45945/1/-1.5/0 params=-0.1964/0/1.5/0 float=y maxiter=1500 bailout=25 inside=0 periodicity=6 colors=000ci__haXgbTfcPecMdcIccEbcBac7`c4__0ZY0YZ3\ XZ3WY3VX3UX3TW2SV2RU2QT2PS2OR2OQ2OO4OQ6PS8QTARVBSX\ DTZFU`HVaIWcKXeMYfOZgR_dU``ZaTcbLgcDid6ie8ffAcgC`h\ EYhFZgH_eJ`cLaaNb_PcYRdVTeSVfPVfMVfJVbIUZHSVGQRFNN\ ELKDJGCHCBE8AC49A188397597797997B97DA7FA7HA7JA7LA7\ NB7PB7RB7TB7VB7XB7ZFC_IG`MKbPOcTSdWWf__gbchfgjikkm\ olpsmswXqkUmlRilPemMbmKZmHVnFSnCOoAKo7Ho5Dp29p06p3\ Bn6Fl9KjCOhFTfIXdHYaGY_GYYFYWFYUEYREYPDYNDYLCYJCYG\ BYEBYCAYAAY88TL9SOARRBQTCPWDOYEN`FMbGLeHKgIJjJJlKQ\ cLXWMcONjGOq8Px0Zj9gXIqJRz5_yIbyUexfhxrkvrhtrfsrdq\ rbor`nrZlrXjrUirSgrQerOdrMbrKarIarHbrGcqFdqEeqDepC\ fpBgoAho9io8in7jn6kn5lm4mm3mm3nl4nl4nl4nl4nk5nk5nk\ 5nk5nk6nj6nj6oj6oj7vRSoi7oi7oi7oi8oi8oh8oh8oh8oh9o\ g9pg9pg9pgApgApfApfApfBpfBpeBpeBpeCpeCqeCqdCqdDqdD\ qdDqdDqcDqcEqcEqcEqbErbFrbFrbFrbFraGraGraGraGr`Hr`\ HdZco_Wy_Ou`Qq`SnaUjaWfbY } END PARAMETER FILE=========================================

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Re: [Fractint] FOTD 21-05-11 (Minibrot for the Ages [8])
by Hal Lane 22 May '11

22 May '11

Brian, Thanks for sharing these images. I like them a lot. Great images, and super coloring. The shrimp-like shapes in your "c" image below remind me of the extinct anomalocaris: http://bygonebeasts.wordpress.com/2010/10/26/anomalocaris/ - Hal Lane ######################### # hallane(a)earthlink.net # ######################### > -----Original Message----- > From: Brian Prentice [mailto:bprentice@webenet.net] > Sent: Sunday, May 22, 2011 1:26 PM > To: Hal Lane > Subject: Re: [Fractint] FOTD 21-05-11 (Minibrot for the Ages [8]) > > > Thanks Hal, I've just posted two more beautiful details: > > http://linuxenvy.com/bprentice/Fractals/Set%2016/BP_16_06c.png > http://linuxenvy.com/bprentice/Fractals/Set%2016/BP_16_06d.png > > Brian >

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Re: [Fractint] FOTD 21-05-11 (Minibrot for the Ages [8])
by Hal Lane 22 May '11

22 May '11

Brian, Nice images -- and coloring. - Hal Lane ######################### (\__/) # hallane(a)earthlink.net # (='.'=) ######################### (")_(") > I've been exploring your fascinating fractal for today. > If you change the real value of parameter 1 from 1.08 > to 1.078, draw the midget corresponding to the one you > posted today and then look at the south east side of > the hook, you will find an area with an infinite number > of midgets or holes. Here is a picture of that area: http://linuxenvy.com/bprentice/Fractals/Set%2016/BP_16_06a.png > and here is a detail of one of the midgets or holes: http://linuxenvy.com/bprentice/Fractals/Set%2016/BP_16_06b.png > Brian Prentice

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