April 2010 - Fractint - mailman.xmission.com

Fmod Coloring
by Roger Alexander 22 Apr '10

22 Apr '10

In addition to outside=atan and decomposition, tdis and outside=fmod can be used to provide smooth coloring. In today's post the fmod value was 0.1 instead of the default 0.01. With tdis high bailout values often provide the desired effect. Some formulas have the bailout as a user selectable parameter and I have rewritten some formulas to do this. Anyway on with the show. apr_21.gif { ; high fmod ; blank ; calctime 0:09:09.36 ; created Apr 21, 2010 ; Fractint Version 2004 Patchlevel 9 reset=2004 type=formula formulafile=_o.frm formulaname=Olio_Magnet function=cotan center-mag=-0.09106382978723393/-0.42499582637729420/5333.333 params=0/0 float=y maxiter=2600 inside=0 proximity=0.1 outside=fmod colors=000000111222333333444555666777777888999AAAAAABBBCCCDDDDDDEEEFFFGG\ GHHHHHHIIIJJJJJJKKKLLLMMMMMMNNNOOOPPPPPPQQQRRRRRRSSSTTTUUUUUUVVVWWWWWWXX\ XYYYYYYZZZ______``````aaabbbbbbcccddddddeeeeeeffffffggghhhhhhiiiiiijjjjj\ jkkkkkkllllllmmmmmmnnnnnnoooooopppppppppqqqqqqrrrrrrrrrssssssssstttttttt\ tuuuuuuuuuvvvvvvvvvwwwwwwwwwwwwxxxxxxxxxxxxxxxyyyyyyyyyyyyyyyyyyyyyzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzyy\ yyyyyyyyyyyyyyyyyyyxxxxxxxxxxxxxxxwwwwwwwwwwwwvvvvvvvvvuuuuuuuuutttttttt\ tsssssssssrrrrrrrrrqqqqqqpppppppppoooooonnnnnnmmmmmmllllllkkkkkkjjjjjjii\ iiiihhhhhhgggffffffeeeeeeddddddcccbbbbbbaaa``````______ZZZYYYYYYXXXWWWWW\ WVVVUUUUUUTTTSSSRRRRRRQQQPPPPPPOOONNNMMMMMMLLLKKKJJJJJJIIIHHHHHHGGGFFFEE\ EDDDDDDCCCBBBAAAAAA999888777777666555444333333222111000 } Olio_Magnet (XAXIS) { z = pixel : z = z + p1 + 0.5 z = z * fn1(pixel) z = sqr(1/z) |z| < 4 ;SOURCE: olio.frm Go to http://maxitersfractalfollies.blogspot.com for the finished fractal _________________________________________________________________ Live connected. Get Hotmail & Messenger on your phone. http://go.microsoft.com/?linkid=9724462

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FOTD 22-04-10 (Steppes of the East [6.5])
by Jim Muth 22 Apr '10

22 Apr '10

FOTD -- April 22, 2010 (Rating 6.5) Fractal visionaries and enthusiasts: Today's iterated expression subtracts 1/4 part of (1/Z) from 3/4 part of Z^3 then adds straight C. The parent fractal consists of a group of large irregular but connected bays with some areas critical and some not. Like so many fractals produced by the MandAutoCritInZ formula, this fractal is impossible to adequate- ly describe in words. In this type of fractal, an orbit check is often the best way to see what kind of minibrots will be found in a given region. Today's scene lies on the shore line of a bay sprouting eastward from what appears to be the East Valley of a kind of Mandelbrot main cardoid. In the closest part of this bay the periodicity is 3; in the middle it is chaotic, while in the farthest part it is 8. Today's scene is located near the point where the periodi- city shifts from 3 to chaos. The greenish parts of the image consist of 'inside' stuff made visible by the 'fmod' inside fill. The mathtolerance entry was needed because the extreme magnitude of the image could cause the scene to calculate at a lesser magnitude, producing a wrong image. The terraced appearance was achieved by setting the 'outside' to 'tdis'. The rating of 6-1/2 shows my indecision. If I had worked a bit harder on the coloring, I might have been able to raise the rating to at least a 7. The name "Steppes of the East" invokes feelings of the Gobi desert, though I can see no logical connection between that part of the world and today's fractal. The calculation time of just under 2 minutes is not too slow. Neither is the trip to see the finished image on the FOTD web site at: <http://www.Nahee.com/FOTD/> A near-perfect day prevailed here at Fractal Central on Wednes- day. The hazy sunshine, gentle winds and temperature of 68F 20C made it feel almost like a day in June. But June turned to April at 6pm, when a gusty shower moved in from the west and the temperature dropped to 55F 13C. The fractal cats found a bit of excitement when Nicholas caught sight of a crow hopping around in the yard and Cassie came running to see what Nico was chattering at. The rest of the time the duo spent sleeping, chasing one another up and down the hallway and asking for food. The next FOTD, maybe better or maybe not, will be posted in 24 hours. Until then, take care, and be a fool. Being a fool is more fun. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Steppes_of_theEast { ; time=0:01:57.76-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=MandAutoCritInZ function=ident passes=1 center-mag=+0.9225736401877659/-0.1695063536240019\ /1.96e+013/1/-152.5/0 params=0.75/3/-0.25/-1.0/0/0\ /0/0 float=y maxiter=1500 inside=fmod outside=tdis proximity=0.5 periodicity=6 mathtolerance=0.05/1 colors=000MW_SSXYOVcKSiGQoDOW65bPyfMxjKxnHxrFxvDxv\ Ptv`qvlmvxjisiYniMiiAeiEhaHjVKmONoHQqAVjF_cKcYOhRT\ mKYqEav7fx1jr2di2ZZ3TY3NS4UR4SKAPKFOK0KK08JU7MZ6zz\ DzmMzmVzmczPzzmzzVzzmIzWzzmzpWzpXzzXzqXzkTzfPz`LzW\ IkQEkLAjG7jTMbVJYWHTYFPZDK`BFa9Bc76d52`tURYbHCkCI_\ 8OP4UE0Z36_2C`2H`1Na1Sa0Yb0bb0v`8uc6tf4si2rk0ta7uS\ DvIKw8QURzUUzUXzU_zUbzUezUhzUkzUnzUqzUtzUwzUzzOKQQ\ KQSKQUKPWKPYKP_KPaKScKUeMXfOZgQahTclVfpYht_kwamnej\ eigYme_nc`nabn_cnYenXfnVgnTioRjoPloOmoMooKpoIqoHpX\ XpFknMcmTXl_PjfIimAht3iq4in4il5ji5jg5jd6ZHLZMPZSUZ\ XYYbaYhfYmjYsnYxrLeNOcLRbJU`IX_GZYFaXDdVBgUAjS8lR7\ jP9hNBgLCeKEdIGbGHaFJ_DKYBMXAOV8PU6RS5TR3UP1WO0XR2\ WU4WX5W_7Wb9VeAVhCV30g93cE5`K7YP9VUBS_DPdFMiHJmLGp\ ODsSAvV7kS7aQ7SN7IL78J79I6AH6BH5BG5CF4DF4DE3EE3FD2\ FC2GC1HB1HB1IE4IH7IKAINDIQGITJIWMIYOGTOEOOzzOKzGzz\ 8NgCz_GzzJz_OKWiF_fAcdG_a } 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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Subject No Subject (fractal noise) and the Droste Effect
by Roger Alexander 21 Apr '10

21 Apr '10

JackOfTradeZ noted he couldn't do anything with my post Apr. 18. Good thing too. It was meant to illustrate one aspect of chaotic systems-regular inputs can produce highly irregular outputs. I chose it because it superficially is apparent noise. Zooming in repeatedly produces noisy images each unconnected to the last without apparent repetition or structure. Let's all salute the flexibility of self-referential iteration! This post's fractal is an example of the Droste effect (named after a Dutch cocoa manufacture) whose design of their tins and boxes had progressively smaller copies of the labels placed recursively on itself. Go to http://en.wikipedia.org/wiki/Droste_effect for an example. Two sizes of the finished product are at http://maxitersfractalfollies.blogspot.com 800x600 and 3200x2400. Zoom in on the big one to verify the recursive nature of the fractal. fract045.gif { ; Droste effect ; blank ; calctime 0:03:36.30 ; created Apr 20, 2010 ; Fractint Version 2004 Patchlevel 9 reset=2004 type=formula formulafile=esc-ifs.frm formulaname=Diamont center-mag=-4.44089e-016/4.30211e-016/15.50142 params=2/0 float=y maxiter=1200 inside=0 proximity=1 outside=fmod colors=000000111222333333444555666777777888999AAAAAABBBCCCDDDDDDEEEFFFGG\ GHHHHHHIIIJJJJJJKKKLLLMMMMMMNNNOOOPPPPPPQQQRRRRRRSSSTTTUUUUUUVVVWWWWWWXX\ XYYYYYYZZZ______``````aaabbbbbbcccddddddeeeeeeffffffggghhhhhhiiiiiijjjjj\ jkkkkkkllllllmmmmmmnnnnnnoooooopppppppppqqqqqqrrrrrrrrrssssssssstttttttt\ tuuuuuuuuuvvvvvvvvvwwwwwwwwwwwwxxxxxxxxxxxxxxxyyyyyyyyyyyyyyyyyyyyyzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzyyyyyyyyyyyyyyyxxxxxxxxxxx\ xxxxwwwwwwwwwwwwwwwwwwvvvvvvvvvvvvvvvuuuuuuuuuuuuuuutttsstsssrrsrrrqqrpp\ qppqoopoopnnommommnllnllmkkmkkljjliikiikhhjhhiggiffhffheegeegddfccfccebb\ ebbdaadaac``c__b__bZZaZZaYY`XX`XX_WW_WWZVVZUUYUUXTTXTTWSSWSSVRRVQQUQQUPP\ TPPTOOSNNSNNRMMRMMQLLQKKPKKPJJOJJOIINIINHHMGGMGGLFFKFFKEEJDDJDDICCICCHBB\ HAAGAAG99F99F88E88E77D66D66C55C55B44B33A33A229229118007 } Diamont {; Use p1=2 to get the image z=pixel, j=(0, -1), k=(-1, 0), l=(0, 1), m=(1, 0): x=real(z) y=imag(z) y1=(y>.5) x1=(x>.5) y2=(y<-.5) x2=(x<-.5) z1=(y1==0 && x1==0) a=y1*j b=x1*(y1==0)*k c=z1*y2*l d=(z1>0 && y2==0)*x2*m p=a+b+c+d z=p1*z+p |z|<=100 ;SOURCE: esc-ifs.frm } _________________________________________________________________ Hotmail & Messenger are available on your phone. Try now. http://go.microsoft.com/?linkid=9724461

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FOTD 21-04-10 (Fractalized Ash [?])
by Jim Muth 21 Apr '10

21 Apr '10

FOTD -- April 21, 2010 (Rating ?) Fractal visionaries and enthusiasts: I might have been thinking of the current volcano excitement when I named today's image "Fractalized Ash". The image pictures a foreground haze through which a nearly-obscured quadratic minibrot can vaguely be made out. My first impression is that the starting point of 0,0 is not a critical point of this formula, but I have never been able to actually track down one of these background minibrots by changing the starting point. Doing so merely makes all traces of the obscured minibrot vanish from sight. The parent fractal appears as a slightly distorted and not quite critical Mandelbrot set with a tiny bit of chaotic debris at the center of the main bay. Today's scene is located in this debris. Curiously enough, other smaller minibrots are scattered all through the debris filling the image, and surprisingly, these minibrots are variations of the cubic. I rated the entire scene at a question mark. Almost all of the value is in the mathematical aspect; very little value is in the artistic. The calculation time of 5-1/3 minutes might be more than the image is worth, but it is still interesting to watch the scene unfold as the hidden minibrot gradually appears. If appearing minibrots are not all that exciting, any remaining curiosity may be quickly satisfied by visiting the FOTD web site at: <http://www.Nahee.com/FOTD/> and viewing the finished image there. Tuesday brought a repeat of Monday's weather to Fractal Central here in Central Pennsylvania. The sun was bright, the tempera- ture reached 66F 19C, and the fractal cats were as happy as cats can be, though I'm not quite sure how happy that might be. My day was average, which might or might not be boring. The next FOTD will be posted in 24 hours. It's sure to be a good one. Until then, take care, and if Santa Claus exists only in the mind, what then is Santa made of? (If anyone says thought, I will simply ask what is thought made of.) Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Fractalized_Ash { ; time=0:05:22.41-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=FinalDivideBrot function=recip passes=1 center-mag=-0.1736589885/+0.0014729311/81042.99/1/\ 2.5/0 params=3/-10/1000/0 float=y maxiter=15000 inside=0 logmap=42 periodicity=6 colors=000zYAvYArYBmYBhYBcYBZYBUYBPYBKYBFYBAYB6YC6\ YC6YC6YC6YC6YC6YC6YC7YC7YC7YD7YD7YD7YD7YD7YD7YD8YD\ 8YD8YD8YE8YE8YE8YE8YE8YE8YE9YE9YE9YE9YF9YF9YF9YF9Y\ F9YF9YFAYFAYFAYFAYGAYGAYGAYGAYGAYGBYGBYGBYGBYGBYHB\ YHBYHBYHBYHBYHCYHCYHCYHCYHCYHCXICXICXICXIDXIDXIDXI\ DXIDXIDXIDXJDXJDXJDXJEXJEXJEXJEXJEXJEXJEXKEXKEXKFX\ KFXKFXKFXKFXKFXKFXKFXLFXLFXLGXLGXLGXLGXLGXLGXLGXLG\ XMGXMGXMHXMHXMHXMHXMHXMHXMHXMHXNHXNIXNIXNIXNIXNIXN\ IXNIXNIXNIXOIXOJXOJXOJXOJXOJXOJXOJXOJXOJXPKXPKXPKX\ PKXPKXPKXPKXPKXPKXPKXQLXQLXQLXQLXQLXQLXQLXQLXQLXQN\ ULMVNMWOLXQLXRKYSKZUJZVJ_WI`YI`ZHa_HbaGbbGccFdeFef\ EegEfiDgjDgzChzCizBizBjzAkz9jzAkzAkzAkzAkzAkzAkzAk\ zAkzAkzAkzAkzAkzAkzAlzAlzAlzAlzAzzAzzAzzAzzAzzAzzA\ zzAzzAzzBzzBzzBzzBzzBzzBzzBzzBzzBzzBzzBzzBzzBzz4zz\ 4zz3zz3zz3zz3zz3zz2zz3zz3zz3zz3zz3zz3zz3zz3zz3zz4z\ z4zz4zz4zz4zz4zz4zz4zz4zz } frm:FinalDivideBrot { ; Jim Muth z=(0,0), c=pixel, a=-(real(p1)-2), esc=(real(p2)+16), b=imag(p1)+0.00000000000000000001: z=(-b)*(z*z*fn1(z^(a)+b))-c |z| < esc } END PARAMETER FILE=========================================

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Mr. Fatso Brot
by Roger Alexander 20 Apr '10

20 Apr '10

Argggghh! My last post didn't have a subject line and that messes things up a bit. Proof read everything,checked my spelling, checked my url, checked email formatting, it still got thru. I proof read as badly as a drunken leprechaun with myopia. Leprechaun? Yes everone knows leprechauns can't read English. Last week I posted a mutant big headed minibrot. Now it's an obese waddler of a minibrot. Indeed I call him Mr. Fatso Brot. Go to http://maxitersfractalfollies.blogspot.com to see the finished product. fract042.gif { ; Mr. Fatsobrot ; blank ; calctime 0:00:50.22 ; created Apr 19, 2010 ; Fractint Version 2004 Patchlevel 9 reset=2004 type=formula formulafile=_t.frm formulaname=tangent_rjr function=sinh center-mag=-0.1602/-0.0628247/0.8503401 params=0/0/0/0 float=y maxiter=1500 inside=0 colors=00000000100300400600800900B00C00E00G00H00J00K00M00O00P00R00T00U00\ W00X00Z00`00a00c00d00f00h00i00k00m01m03m04n06n07o09o0Ao0Cp0Ep0Fq0Hq0Iq0K\ r0Lr0Ns0Ps0Qs0St0Tt0Vu0Wu0Yu0Zv0`v0bw0cw0ew0fx0hx0iy0ky0mz1mz3mz5nz7nz9o\ zBozDozFpzHpzJqzLqzNqzPrzRrzTszVszXszZtz`tzbuzduzfuzhvzjvzlwznwzpwzrxztx\ zvyzxyzzzzyzzxzzwzzuzztzzszzqzzpzzozzmzzlzzkzzizzhzzgzzezzdzzczzbzz`zz_z\ zZzzXzzWzzVzzTzzSzzRzzPzzOzzNzzLzzKzzJzzIzzGzzFzzEzzCzzBzzAzz8zz7zz6zz4z\ z3zz2zz0zz0yz0xz0wz0uz0tz0sz0qz0pz0oz0mz0lz0kz0iz0hz0gz0ez0dz0cz0bz0`z0_\ z0Zz0Xz0Wz0Vz0Tz0Sz0Rz0Pz0Oz0Nz0Lz0Kz0Jz0Iz0Gz0Fz0Ez0Cz0Bz0Az08z07z06z04\ z03z02z00z00y00x00w00v00u00t00s00r00q00p00o00n00m00l00k00j00i00h00g00f00\ e00d00c00b00a00`00_00Z00Y00X00W00V00U00T00S00R00Q00P00O00N00M00L00K00J00\ I00H00G00F00E00D00C00B00A009008007006005004003002000000 } tangent_rjr {; Scientific American puzzle. z=pixel c=pixel: z=z*fn1(z)+c+p1 |z| <=4+p2 ;SOURCE: crocker.frm } _________________________________________________________________ Got a phone? Get Hotmail & Messenger for mobile! http://go.microsoft.com/?linkid=9724464

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Re: [Fractint] (no subject) (Roger Alexander)
by JackOfTradeZ＠comcast.net 20 Apr '10

20 Apr '10

. fract031.gif WTF ?!? I can't do anything with it. Zooming in loox exactly the same (hey - ain't that a REAL fractal??), 3D and RDS give nothing. However, zoom OUT a bit and you are floating in the asteroid belt with collision imminent! It does sound cool when run thru AudioPaint though ...... .

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FOTD 20-04-10 (Eight Times Around [7])
by Jim Muth 19 Apr '10

19 Apr '10

FOTD -- April 20, 2010 (Rating 7) Fractal visionaries and enthusiasts: Today's image is named "Eight Times Around" I gave it this name because the elements surrounding the central minibrot are indeed arranged in the expected grouping of multiples of 2, which after all is not so surprising. I rated the image at a 7, which is somewhat above average, though not exceptionally so. The parent fractal can be described as vaguely resembling a classic Mandelbrot set, even though it has no East Valley and no negative spike. It does have lots of chaos on its eastern side however, and today's image is located in this chaos. The image is notable for the chaos in the background. Actually however, this chaos is not total. When it is enlarged, some degree of order does appear in certain places. The calculation time of 1-1/2 minutes is appropriately brief. Equally brief is the trip to the FOTD web site at: <http://www.Nahee.com/FOTD/> where the completed image is or soon will be posted. Except for a slight chill in the air, Monday was a near perfect day here at Fractal Central. The Kodachrome blue of the sky was emphasized by a scattering of puffy white decorator clouds of the cumulus variety, while the temperature hovered around 64F 18C and the fractal cats sat on their shelf, wishing they could go out. My day, as well as FL's day was slightly slow, though still busy enough to keep boredom at bay. And at lunch, I wisely avoided getting drawn into another philosophical discussion about a ques- tion that cannot possibly be answered. The next FOTD will be posted in a brief 24 hours. Until then, take care, and what kind of good luck has fate sent your way today? Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Eight_Times_Around { ; time=0:01:29.80-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=FinalDivideBrot function=recip passes=1 center-mag=+0.8072128463303313/+0.0009535175175191\ /1.919037e+008/1/-69/0 params=1.2/1.1/100/0 float=y maxiter=1600 inside=0 logmap=82 periodicity=6 colors=000GAcB8g7AjBJlEPnIXpLfrOptazz_uzYnzWhtUboS\ YjQTeOP`MNYKNWKLUKJSKHQKFOKDMKDKKDKFDKJDKNDKRDKVDK\ ZDKbDLfDHjDEzzzzzBzwAzp9zfEzXJvTOuOStNStNStMSsMSsL\ SsLSsLSoKTkKUgJVcJW_IXWIYSHZPH_MZjP`gRbdTcbWe_YfY_\ zVazTYhPVzLSfIPeEMzAJc7Gb3Dz0IY7NpDSQzXMzaIzfEzjBz\ aJzUQzMXzEczDWzCPzBIzBBzBCzBCzBDzBDzBDzRWzU_zXbzZf\ zaizdmzfpzitzkwzlszmoznkzogzsJzpczq_zhQzjRzkSzlTzm\ UzoVzpWzqXzrOzrRzrTzrVzCyzJtzPpzVlz`hzfdzl`zgnzjiz\ mezp`zpYzqXzqXzqXzrXzrXzrXzNMzSOzXQz`RzeTziUznWzmP\ znRzoTzpUzqWzBCzIFzOIzULz`OzfRzlUz_SzfUzlWzalzdizg\ fzjdzmazpZzj5zmFzpOzfFzhIziKzkMzlOznRzoTzqVzDDzOIz\ YNzhSzHzzJGzPJzVMz`PzfSzlVzoTzDUzRVzdWzgczibzjazl`\ zm_znZzpYzqXzLIzXNzgSzIGzQKzXNzdRzkUz2lzegzjczn_zA\ EzGHzMJzRMzXOzbQzgTzmVzkCzmIzoNzqSz4xzFrzPlzZgzhaz\ M8zXHzgPzR5z`FziOzbRzeSzgTziUzlVznWzpXzTZz_YzeYzlX\ zBAzXMzzEzvOz07zJGzPDzKBz } frm:FinalDivideBrot { ; Jim Muth z=(0,0), c=pixel, a=-(real(p1)-2), esc=(real(p2)+16), b=imag(p1)+0.00000000000000000001: z=(-b)*(z*z*fn1(z^(a)+b))-c |z| < esc } END PARAMETER FILE=========================================

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FOTD 19-04-10 (Things and Things [6])
by Jim Muth 19 Apr '10

19 Apr '10

FOTD -- April 19, 2010 (Rating 6) Fractal visionaries and enthusiasts: Today's image came about when I entered whimsically chosen values into the MandAutoCritInZ formula If something looks wrong with the image, it's no illusion. Some- thing actually is wrong with it. The image does not exist. It has been evaporated and a ghostly pseudo-image substituted in its place. The entire scene consists of trapped 'inside' points made visible by the active 'bof61' inside fill, which I think colors the points according to the number of the iteration that brings the points closest to the origin of the parent. I don't know how close the closest point in today's image comes to the 0,0 origin point of the parent, but the real value of the scene's location is around -962, with an imaginary value around 25. By defining another point as the origin of the parent, I could probably get a totally different image, but this is some- thing I'll try on another day. As is apparent from the coordinates, the parent fractal is grossly enlarged. With its bays, buds and chaos, it vaguely resembles a Mandelbrot set, but there the resemblance ends. Today's parent fractal is near 1000 times the size of the classic M-set, and the amount of chaotic debris around it is vastly increased. Today's scene is located in the debris on the western extremity of the parent. The image shows a curious pattern, which for a change, is in no way associated with a minibrot. The coloring is entirely created by the bof61 inside fill. The other non-flat inside fills make other images of this same scene, though none equal the image created by the bof61 fill. I rated the image at a 6 because I feel it falls short of the past few days' FOTD images. The name "Things and Things" is a spoof on the name of one of those trendy but nearly useless 'gift' shops that just opened in town. The calculation time of under 5 minutes will bring some relief to the yearning fractal heart. Even more relief may be found on the FOTD web site at: <http://www.Nahee.com/FOTD/> where the finished image is or soon will be posted. Sunday was hardly spring-like here at Fractal Central. The heavy clouds, brisk winds and temperature of 50F 10C made it feel more like November than April. The fractal cats were slightly chilly in the morning, but started chasing one another up and down the long hallway around lunch time, and then seemed content for the rest of the day. Meanwhile, my day was average. The next FOTD will be posted in 24 hours. Until then, take care, and if God is imaginary, then he must exist as a model in the minds of those who believe. The question is 'how real are things that exist as models in the mind'. Quantum physicists tell us that our concept of atoms is basically a mental model, and I see no one questioning the existence of atoms. (Hmmm, do I see a spate of philosophizing about God starting to build?) Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Things_and_Things { ; time=0:04:53.72-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=MandAutoCritInZ function=recip passes=t center-mag=-961.6751970513/+25.4920570168/62563/1/\ -5/0 params=-1.75/-1.01/-0.175/-11.1/0/1e+100/0/0 float=y maxiter=1600 inside=bof61 periodicity=6 colors=0008Xm9WmA`mAasBdzCguCnzDjzEtzEnzFxzGyzGzzM\ zzRLOW3GT6IR8KPBLNDNLGPJIQGLSENUCQVASX8VZ6X_9_bCbe\ FdhHgkKinNlqPntMlqKjnIhkGfhEdeCbbA`_8ZX6XU8US9SQBP\ OCNMELLNFUHGHIDFKBEL9CN6AO48P27IIDCYJ6mO9jMCgKEeIH\ bGK`EMYDPVBST9UQ7XO5_L3aJ2dH8gGEjEKmDQpCWlFYiIZfK`\ cNa`QcXSdUVfRXgO_iLbjHdlEgmBjo8lp5or2qs4no6ll7ii9g\ fBdcCb`E_YjeWjcXj`YjYYjWZjT_jR_jO`jMajJajGbjEcjBcj\ 9dj6ej4el8emCenGeoKepOeqSerVetZeubevfewjexneyrezue\ xqbvm_tjXsfUqbRo_OmWLlSIjPFhLCfH9eE6bC9ZACW8ES6HP4\ KL2NI1PN3XS4dX5la6tdFpfOmhXjjeflncnw`jsagpacma`jaX\ gaUdaTebSebRebQecPecOecMhYNecNchOanO_sOYxcccLWvKVu\ JUuITtHSs8ZzGRsVGtOJlHLdANXMSOXWGUXJSYLQYNNZPLZRJ_\ TRF_H_VaCq7tRp7aqB`rF_sJZsMZtQYuUXuXXCcdBbcBacB_cA\ ZbAYb9Xa9Wa9Ua8T`8S`7R_7Q_7P_7QY7RX7SW7TV7UU7VT7WS\ 7XR7YQ7ZP7_O7`M7aL7bK7cJ7dI7eH7fG7gF7hE7iD7jCCiDGh\ EKhFOgGTfHXfI`eJddKUKUlYF } 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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(no subject)
by Roger Alexander 19 Apr '10

19 Apr '10

Todays fractal is not pretty,it's a graphic demonstration of chaos.It looks like a picture of true noise. It has no discernible structure or patten. It is the characteristic of the ziggidy-zaggidy sensitivity of chaotic processes to initial conditions taken to the extreme. The algorithm that produces the convuluted outline of the mandelbrot set, so serpentine that an object with finite area has an infinitely long boundary,is outdone by this process which apparently produces pure randomness. Go to http://maxitersfractalfollies.blogspot.com to see it already made. Roger Alexander fract031.gif { ; White noise! ; Now this is chaos. ; calctime 0:44:24.72 ; created Apr 17, 2010 ; Fractint Version 2004 Patchlevel 9 reset=2004 type=formula formulafile=_num.frm formulaname=9jRoger function=cotanh/cos center-mag=0.0481928/1.38778e-016/7.304324 params=0.7061983092745751/-0.5189672536393323/-0.7412030396435438/1.4590\ 5941953795 float=y maxiter=1500 inside=0 periodicity=0 colors=00000000000000011111111111122222222222233333333333344444444444455\ 5555555555666666666666777777777777888888888888999999999999AAAAAAAAAAAABB\ BBBBBBBBBBCCCCCCCCCCCCDDDDDDDDDDDDEEEEEEEEEEEEFFFFFFFFFFFFGGGGGGGGGGGGHH\ HHHHHHHHHHIIIIIIIIIIIIJJJJJJJJJJJJKKKKKKKKKKKKLLLLLLLLLLLLLLLMMMMMMMMMMM\ MNNNNNNNNNNNNOOOOOOOOOOOOPPPPPPPPPPPPQQQQQQQQQQQQRRRRRRRRRRRRSSSSSSSSSSS\ STTTTTTTTTTTTUUUUUUUUUUUUVVVVVVVVVVVVWWWWWWWWWWWWXXXXXXXXXXXXYYYYYYYYYYY\ YZZZZZZZZZZZZ____________````````````aaaaaaaaaaaabbbbbbbbbbbbccccccccccc\ cddddddddddddeeeeeeeeeeeeeeeffffffffffffgggggggggggghhhhhhhhhhhhiiiiiiii\ iiiijjjjjjjjjjjjkkkkkkkkkkkkllllllllllllmmmmmmmmmmmmnnnnnnnnnnnnoooooooo\ ooooppppppppppppqqqqqqqqqqqqrrrrrrrrrrrrssssssssssssttttttttttttuuuuuuuu\ uuuuvvvvvvvvvvvvwwwwwwwwwwwwxxxxxxxxxxxxyyyyyyyyyyyyzzz } 9jRoger { z=pixel: z=(p2*fn2(z)+z)*z/(fn1(z)+p1)*p2, |z|<=4 ;SOURCE: my_frms.frm } _________________________________________________________________ Hotmail & Messenger. Get them on your phone now. http://go.microsoft.com/?linkid=9724463

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FOTD 18-04-10 (Green Conflagration [8])
by Jim Muth 18 Apr '10

18 Apr '10

FOTD -- April 18, 2010 (Rating 8) Fractal visionaries and enthusiasts: Due to an unsurprising antiquing expedition, today's image is a little late, but it rates another eight, and as long as I can keep these eights coming, the results will be worth the effort. The parent fractal of today's image begins in its East Valley area as a Mandelbrot set. But as we advance westward, things start getting progressively more wrong. To begin, the main bud is far too large. In fact, it's larger than the main bay itself. And the second bud is no longer a single bud. It has split into two parts. Finally, to make things even worse, instead of a single straight negative spike, we have two curved filaments, one shooting out, curving toward the north-northwest, the other toward the south-southwest. Today's image lies on the west side of the northern branch of the valley separating the oversized main bud from the split second bud. The overall pattern resembles the stuff found in Scepter Valley, but nothing like those open, chaos-filled holes can be found in the true Scepter Valley. The rating of an 8 reflects my opinion of the image. The name "Green Conflagration" refers to the strong emerald green areas surrounding the beige central pattern. The calculation time of under 7 minutes might be considered slow by the more impatient fractalists. The way to avoid this minor delay is to surf out to the FOTD web site at: <http://www.Nahee.com/FOTD/> and view the finished image there. Saturday turned most un-springlike here at Fractal Central, with heavy clouds hanging overhead all day, occasional sprinkles of rain, a biting northwest wind and a temperature of 48F +9C. The fractal cats slept through it. My day was busy but otherwise not too bad. The next FOTD will be posted in 12 hours. That's not a promise, but far more likely than not. Until next FOTD, take care, and would the real truth please stand up. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= GreenConflagration { ; time=0:06:56.01-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=FinalDivideBrot function=recip passes=1 center-mag=-4.426676332106418/+0.483618434342954/\ 709845.2/1/-37.5/0 params=0.8/2/84/0 float=y maxiter=7500 inside=0 logmap=244 periodicity=6 colors=000KGAKHAKIAKJAKKAKLAKNAKPAMUAOZAQcASh9Um6Z\ r3cv0hz5mzArzFvzKzzPzzUzzZzzczzhzzmzzrzzvzzzEMIEQC\ FTEFVGGYHG_JGbLHdMHgOIiPIlRInTJqUJsWJuXKsTKrPKqMKp\ IKnEKmBKl7Kk4Ji5Ig5He5Gc5Fa5E_5DY5CW5BU5EUAHUEKUIN\ UNPURSUVVU_YUc_UgbUleUphUtjUxiWwiYvh_uhathcsgerggq\ fipfkoflnhioifokcpl`pmYqoVqpSrqPrsMstJsuGtwDtxAuy8\ usJknUaoVdpWgpXiqYlqZnp_lp`koajobiochndgnefmfemgdm\ hclibljakk`kl_klZjjYihXhgXgeWgdVfbVeaUd_TcZTcXSbWR\ aUR`TQ_RP_QPVUSRYVM`XId_Dhb9kd8ig7gi6el5cn4aq3_s2Y\ u4Xs6Wq8VpAUnBUlDTkFSiHRgIRfHUaGXYFZTzaPzcLzbKzaKz\ `Kz_KzZKzYKzXKzWKzVKzUKzTKzSKzRKzTIzVzzXzzZzz`zzbz\ zdzzfzzhzzjzzlzznzzozzqzztzzwzzzzzzBzzCzzDzzEzzFzz\ GzzHzzIzzzzzzzzzzzzzzzzzzzzzzzzzzdzzgzzjzzmzzozzgz\ z`zzR8zH9z7Gz5Nz4Uz3`z2fz1_zdgzeozfnz_mzTlzMkzFjz8\ fzBbzEZzHVzKRzNNzPJzSFzVBzY7z`4zb5zb5zc6zc7zd7zd8z\ e8ze9zdAzcBzbCzaDz`Ez_EzZ } frm:FinalDivideBrot { ; Jim Muth z=(0,0), c=pixel, a=-(real(p1)-2), esc=(real(p2)+16), b=imag(p1)+0.00000000000000000001: z=(-b)*(z*z*fn1(z^(a)+b))-c |z| < esc } END PARAMETER FILE=========================================

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