June 2010 - Fractint - mailman.xmission.com

Return of Tdis - The Sequel (Part 2)
by Roger Alexander 15 Jun '10

15 Jun '10

More scaly veggieness. Well if not exactly veggie it's certainly green which brings me to my final point - three cheers for tdis! Speaking of three cheers celebrate the convenience of the internet and view the completed fractal at http://maxitersfractalfollies.blogspot.com fract256.gif { ; tdis scales ; blank ; calctime 0:13:08.23 ; created Jun 15, 2010 ; Fractint Version 2004 Patchlevel 9( reset=2004 type=formula formulafile=_m.frm formulaname=mand2_zdif center-mag=+0.08868716627491702/+0.63494407427012580/245.142 params=0/0/3000/0 float=y maxiter=1500 inside=0 outside=tdis colors=000lz5lz5kz5kz5kz4jz4jz4iz4iz4iz4hz3hz3hz3gz3gz3gz3fz2fz2fz2ez2ez\ 2dz1dz1cz1bz1ay1`y1_y1_x1Zx1Yx1Xw1Ww1Vw1Uv1Uv1Tv1Su1Ru1Qu1Pt1Ot1Ot1Nt1Ms\ 1Ls1Ks1Jr1Ir1Ir1Hq1Gq1Fq1Ep1Dp1Cp1Co1Co1Cn1Cn1Cm1Cm1Cl1Bk1Bk1Bj1Bj1Bi1Bi\ 1Ah1Ag1Ag1Af1Af1Ae19e19d19c19c19b19b18a18a18`18_18_18Z17Z17Y17Y17X17W17W\ 16V16V16U16U16T16S15S15R15R15Q15Q15P14O14O14N14N14M13L03L03M03M03N04N04O\ 04O04P05Q05Q05R05R06S06S06T06T07U07V07V07W07W08X08X08Y08Y09Z09_09_09`0A`\ 0Aa0Aa0Ab0Bc0Bc0Bd0Bd0Ce0Ce0Cf0Cf0Cg0Dh0Dh0Di0Di0Ej0Ej0Ek0Ek0Fl0Fm0Fm0Fn\ 0Gn0Go0Go0Gp0Hq0Iq0Jr0Kr0Lr0Ms0Ns0Ns0Ot0Pt0Qt0Ru0Su0Tu0Tu0Uv0Vv0Wv0Xw0Yw\ 0Zw0Zx0_x0`x0ay0by0cy0dz1dz1ez1ez1fz2fz2gz2gz2hz3hz3iz3iz3jz4jz4kz4kz4lz\ 5mz5mz5nz5nz6oz6oz6pz6pz7qz7qz7rz7rz8sz8sz8tz8uz9uz9uz9tz9tz9tz9sz9sz8sz\ 8rz8rz8rz8qz8qz7qz7pz7pz7oz7oz7oz6nz6nz6nz6mz6mz6mz5lz5 } frm:mand2_zdif(XAXIS_NOIMAG) { ;p2 is the bailout (default=127) b=p2,b=b+(b==0)*127 z=j=c=pixel: k=z z=z*z+j*c-p1 j=z-k |z|<b ;SOURCE: mandhack.frm } Roger Alexander _________________________________________________________________ Look 'em in the eye: FREE Messenger video chat http://go.microsoft.com/?linkid=9734386

1 0

FOTD 14-06-10 (Pint-Sized Quartic [8])
by JimMuth＠aol.com 15 Jun '10

15 Jun '10

FOTD -- June 14, 2010 (Rating 8) Fractal visionaries and enthusiasts: This is a test to see how well AOL works with the FOTD. Today's blindingly fast image is surprisingly simple, yet it delivers more than seems possible in a mere 10 seconds. In fact it is one of the best quartic minibrots I have ever seen. The parent fractal is a Mandelbrot set caught well along the way of morphing into the Z^4+C Mandeloid. Today's image lies quite deep on the negative X-axis of the parent fractal. The rating of an 8 is justified. Though the image is little more than a quartic minibrot with radiating arms, it has a certain something that sets it apart from the crowd. The name "Pint-Sized Quartic" is a play on words that refers to the unusually large magnitude of the image and the corresponding small size of the minibrot. The calculation time of 10 seconds hardly seems possible, but this is how fast the image runs on my optimized, fractal-dedica- ted 2000mhz computer. The trip to see the finished image on the FOTD web site at: <_http://www.Nahee.com/FOTD/_ (http://www.Nahee.com/FOTD/) > will take a bit longer, but the minor hassle of setting up and running the parameter file will be eliminated. A mix of clouds and sun, oppressive humidity and a temperature of 88F 31C made things pretty uncomfortable here at Fractal Central on Sunday. A brief but heavy rain shower just after noon added to the unpleasantness. The fractal cats suffered no unpleasantness however as they passed the day sleeping on the cool floor. My day was about average; the same is true for FL. Unless something goes wrong, the next FOTD will be posted in 24 hours. Until then, take care, and after the world ends, will the Mandel- brot set still exist? Jim Muth _jamth(a)mindspring.com_ (mailto:jamth@mindspring.com) _jimmuth(a)aol.com_ (mailto:jimmuth@aol.com) START PARAMETER FILE======================================= Pint-Sized_Quartic { ; time=0:00:10.26-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=FinDivBrot-2 function=recip center-mag=-1.188028881200462/0/4.56327e+011/1/180 params=4/-4/0/0 float=y maxiter=1500 inside=0 symmetry=xaxis periodicity=6 mathtolerance=0.05/1 colors=000dKdoMzlKoiIdgGUdEJnZvbD8_IAYNBVSCTWEQ`FO\ eGDj1MiHZvaXq_WmYUiW7Ni7V2WfRTeVQdZNcbLcfIbjFanC`r\ 4cyA`vGZtMXrSVoYTmmOPiPXfQcbRkdSxbRvaRt8BaAEcCGeEI\ gGKiKMkOOmSRoWWo_`qcfsgoulyzzzzyszuovqirncmjYhfRcc\ La_F_U2LU6SX9YTCUU7UUBcQFiGJoRPz8Uz7Zz7cz7hz7mzNYh\ KYeaZeKZdaZdKUdaUdKUcaUcKUcaUcKUbaUbKUbaUbKUammamm\ ammamm`mm`mm`mm`mm_mm_mm_mm_mmZmmZmmZmmZmmYaeYaeYa\ eYaeXafXafXafXafWagWagWagWagVagEahVahVahVzhUziUziU\ ziUziTzjTzjTzjTzjSzkSzkSzkSzkRzkRzlRzlRzlQzmVzmWzm\ WzmWzmYzmRzmKzmPzmUzmZzmczmwzmrzmmzmh_mz_mz_mz_mza\ mzbmzcmzdmzemzfmzumzgmzUmzGmz2mz3mz4mz5mz6mz7mzomz\ omz5mz7mz9mzBmzDmzFmzHmzMmzKmzImzGzPCzIDzNEzSFzXGz\ a5ztHzeSzSoz4hz9bzEXzJRzOIzRKzTNzVPzWSzYUz_5z8EzIN\ zRWz`jzegzgezhczi`zjZzkTzwXzl_zaczRozJfzHZzGRzFGza\ JzEPzGUzI_zKdzMjzOozQiz4tzRlzTezVmzmZzXEzTHzPJzLLz\ HNzEPzARz6Tz3WzGYzTUzf_ze } frm:FinDivBrot-2 { ; Jim Muth z=(0,0), c=pixel, a=-(real(p1)-2), esc=(real(p2)+16), b=imag(p1): z=(b)*(z*z*fn1(z^(a)+b))+c |z| < esc } END PARAMETER FILE=========================================

3 2

Blue Scales
by Roger Alexander 15 Jun '10

15 Jun '10

What to call these structures? I call 'em scales, Jim Muth calls 'em terraces. It is my suggestion that someone go to the expense and bother of convening an international conference on standardizing fractal graphic nomenclature. I'd volunteer but I'm quite busy at the moment. Until then I'll have to make it up as I go along. As I am a creature of habit I have posted the completed fractal at http://maxitersfractalfollies.blogspot.com fract257.gif { ; remix ; blank ; calctime 0:12:34.07 ; created Jun 14, 2010 ; Fractint Version 2004 Patchlevel 9 reset=2004 type=formula formulafile=fotdv1.frm formulaname=contest4a center-mag=-1.45759282649133000/+0.00712563729151517/5934.286/1/90/3.885\ 78058618804789e-016 params=-1.194830164494766/-0.1142918179876095/4000/0 float=y maxiter=4000 inside=0 outside=tdis colors=00048F49F59G5AH5AI5BJ6BK6CK6CL6DM7DN7EO7EP7FP8FQ8GR8GS9HT9HU9IUAI\ VAJWAJXBKXBKYBLYCLZCMZCM_DN`DN`DOaDOaEPbEPbEQcFQcFRdFReGReGSfGSfHTgHTgHU\ hIUiIViIVjIWjJWkJXkJXlKYlKYmLZnLZnM_oM_oM`oN`pNapOaqObqPbrPcrPcrQdsQdsRe\ tRetRftSftSgtTguThuUhuUivVivVjvVjvWkwXkwYlwYlwZmxZmx_nx_nx`ox`oxapyapybq\ ybqycrydryesyeszftzgtzhuzhuzivzjvzkwzmwznxzpxzqyzryzuzzuzzryzqyzoxznxzmw\ zkwzjvzivziuzhuzgtzftzfszesydrycrybqybqyapyapy`ox_ox_nxZnxZmxYmwYlwXlwXk\ wWkwVjvVjvVivVivUhvUhuTguTguSfuSftRetQesQdsQdrPcrPcrObqObqOapNapN`oN`oM_\ nM_nMZmLZmLYlLYlKYlKXkJXkJWjJWjIViIViIUhHUhHTgHTgGSfGSfFRfFReFQdFQcEPcEP\ bEObDOaDNaDN`CM_CM_BLZBLZBKYAKYAJXAJWAIV9IU9HU9HT8GS8GR8FR8FQ7EP7EO7DN7D\ M6CL6CL6BK6BJ5AI5AH59G59G48F48E47D37C36B36A35A25924824723613512412411301\ 200100000101211312412413523624724825935936A36B37C47D48E } frm:contest4a {; Kerry Mitchell (variable bailout by JM) ; formulaname appended to "a" to differentiate from ; previously posted contest4 formula ; slightly optimized version of Contest formula z=p1, c=pixel: z2=sqr(z), z=z*z2+c*(1+z-z2), |z| <= p2 } Roger Alexander _________________________________________________________________ Game on: Challenge friends to great games on Messenger http://go.microsoft.com/?linkid=9734387

1 0

FOTD 15-06-10 (Cranky Calculation [No Rating])
by JimMuth＠aol.com 15 Jun '10

15 Jun '10

FOTD -- June 15, 2010 (No Rating) Fractal visionaries and enthusiasts: Things were rather disorganized here at FC on Monday, as we shifted things to different machines. For some reason, the new fractal machine will not connect to mindspring, which explains why I am sending this through my AOL address. The problems are being solved one at a time however, and within a day or two, we should be up and running on the same old schedule. But another big change is not far off. I am putting the fractal dedicated unit on a DSL line, most likely with a new URL address. As for today's fractal, I doubt that it's worth a rating. The image is a simple minibrot in a valley of one of the Z^(1.7)+C parent fractals. I named it "Crabby Calculation", which rather describes my mood after fighting with disobedient computers all day. The image, for all its worth, fails to earn a rating, but with its calculation time of 2-1/2 minutes, not much will be lost if the image fails to satisfy. Calculation may be avoided by viewing the finished image on the FOTD web site at: <_http://www.Nahee.com/FOTD/_ (http://www.Nahee.com/FOTD/) > With a temperature of 84F 29C and reasonable humidity, Monday was fairly pleasant here at Fractal Central. Too many clouds kept it from being an outstanding day however. The next FOTD will be posted in 24 hours. Hopefully, by then I'll be back in the familiar fractal routine. But if no image appears, it will be a sign that we ran into more computer problems. P.S. The fractal cats had a sulky day. They didn't like all the disorganization. Jim Muth _jamth(a)mindspring.com_ (mailto:jamth@mindspring.com) _jimmuth(a)aol.com_ (mailto:jimmuth@aol.com) START PARAMETER FILE======================================= Crabby_Calculation { ; time=0:02:34.77-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=MandelbrotBC3 function=floor center-mag=-0.058531449501/+0.648142658462/2264403 params=1.7/0/19/0 float=y maxiter=7500 inside=0 logmap=206 periodicity=6 colors=000yFYwJWvKVuKUtKSrKRqKQpKOoKNnKPmKSlKVkKYk\ L`kNckPckRbkSakU_kWZkXYjXXjXVjWUjVTjUSjTQhSPfRSdQT\ bPU`QVZRWXSXVUYTVZRW_PX`NYaLZbJ_cKaeKbfKcgKdhKeiKf\ jKgkKhlKimJjlIjlHkkHkkGkjFljFliEliDmhDmhCmhBngBngA\ oh9om9or8pv7pz7pv6qr5qm5qh6od7me8lf9jfAigBghCfhDdi\ EcjFajG`jHZkIXlJWmKYnL_nMaoNcpOepNgqMirLjrKkm_jhXi\ cUhZRgUOfPLeKQdFTgBXjC_lEcmF_mGWlYYmV_mTalRbkPdjNf\ iLhhKigKjfKkeKldKmcOmbNlaMl`Nl_NkZMkYMkXMjYLjXKkWK\ kVJlUIlTHmSOlRNlQMlTMkWLkZLkaKjeJjhJjkIinIhmKglKfk\ KejKdiKchKcgKcfKceKccKZZKUUKPPKKLJ90EB3FD6FF9FHBFI\ EFKHFMJFOMGPPGRSGTUGVXGW_GYaG_dHagHbjHdlHfoHhrHl7M\ QHzTMtVQoXVjZZeac`cgWelRgpMJdyMnxOouPosQopSpnTpkUp\ iWqfXqdYqb_r_`rYarVcsTdsQesOgtLhtJltZktYktXktWktVk\ tVktUktTjtSjtRjtRjtQjtPjtOjtOjtNiuMivLiwKixKiyJizI\ izH8z9AzACzADzAFzBGzBIzBKzCLzCNzCOzDQzDRzDTzEVzEWz\ EYzFZzF`zFbzGczGezGfzHhzH } frm:MandelbrotBC3 { ; by several Fractint users e=p1, a=imag(p2)+100 p=real(p2)+PI q=2*PI*fn1(p/(2*PI)) r=real(p2)+PI-q Z=C=Pixel: Z=log(Z) IF(imag(Z)>r) Z=Z+flip(2*PI) ENDIF Z=exp(e*(Z+flip(q)))+C |Z|<a } END PARAMETER FILE=========================================

1 0

Six Fold Almost Symmetry
by Roger Alexander 14 Jun '10

14 Jun '10

Symmetrical on the outside, asymmetrical on the inside. I'm sure there is some profound meaning in that observation.If I try hard enough I'm sure I can work in "duality" or "dichotomy". Ready for viewing at the usual suspect http://maxitersfractalfollies.blogspot.com frac254.gif { ; symmetrical,not symmetrical ; blank ; calctime 0:07:26.43 ; created Jun 13, 2010 ; Fractint Version 2004 Patchlevel 9 reset=2004 type=formula formulafile=_rc2.frm formulaname=Carr2075 center-mag=-4.44089e-016/2.22045e-016/0.8912656 params=0/0/0/0/0/0 float=y maxiter=1000 colors=000000000000000000000000000000000100100200400500700900B00D00G00I0\ 0L00O10Q10T10W10Z10a10e10h20k20o20r20v20y20z30z50z60z80z90zB0zC0zE0zF0zH\ 0zI0zK0zL0zN0zO0zQ0zR0zT0zU0zW0zX0zZ0z_0za0zb0zd0ze0zg0zh0zj0zk0zm0zn0zp\ 0zq0zs0zt0zv0zw0zy0zz1zz3zz4zz6zz7zz7zy7zx7zx7zw7zv7zv7zu7yt7ys7ys7yr7yq\ 6yq6yp6yo6yo6xn6xm6xl6xl6xk6xj6xj6xi5xh5wh5wg5wf5we5we5wd5wc5wc5vb5va5va\ 5v`4v_4vZ4vZ4vY4vX4uX4uW4uV4uV4uU4uT4uS3uS3uR3tQ3tQ3tP3tO3tO3tN3tM3tL3sL\ 3sK3sJ2sJ2sI2sH2sH2sG2sF2rE2rE2rD2rC2rC2rB1rA1rA1r91q81q71q71q61q51q51q4\ 1q31p20p20o20n20m20m20l20k20j20j20i20h20g20g20f20e20d20d20c20b20a20a20`2\ 0_20Z20Z20Y20X20W20W20V20U20T20T20S20R20Q20Q20P20O20N20N20M20L20K20K20J2\ 0I20H20H20G20F20E20E20E20D20D20C20C20C20B20B20A20A20A2092092092082082072\ 0720720620620520520520420420420320320220220220120120010 } frm:Carr2075 {; Modified Sylvie Gallet frm. c=pixel-conj(0.10/pixel)-flip(0.010/pixel) z=pixel*sqr(pixel)-sqr(conj(0.10/pixel))-(flip(0.010/pixel)) compt=0, limit=real(p1/(1/cos(pixel/5))), bailout=4 cinv=p2/(z+p3) p=(-0.743380900000982,-0.131850030300002): test=(compt<limit) c=c*test+p*(1-test) z=z*z+c compt=(compt+1) |z|<=bailout ;SOURCE: 42bcarr.frm } Roger Alexander _________________________________________________________________ Game on: Challenge friends to great games on Messenger http://go.microsoft.com/?linkid=9734387

1 0

FOTD 23-05-10 (Wretchedly Colorful [7])
by Jim Muth 13 Jun '10

13 Jun '10

FOTD -- May 23, 2010 (Rating 7) Fractal visionaries and enthusiasts: Today's super brilliant image is also super fast, calculating in an unbelievable 8 seconds. It is also a rather good image, well worth the minor task of setting up this letter as a parameter file and running it in Fractint. The parent fractal was created with the FinDivBrot-2 formula. It appears as a Mandelbrot set surrounded by rings of rather interesting extra stuff, which were created by the Z^(-10) in the iterated expression. Today's scene lies at -6.2 on the negative X-axis, rather deep in some of the rather interesting extra stuff. The rating of a 7 is not bad, especially for an image that comes about with almost no effort. I thought of the name "Wretchedly Colorful", while I was still working on the colors. Since then I have gotten the colors good enough to meet FOTD standards, but the name shall remain forever. Viewing the finished image on the FOTD web site at: <http://www.Nahee.com/FOTD/> will eliminate a bit of computer work, but it could hardly shorten the 8-second wait to see the finished image. Lots of clouds marred the sky here at Fractal Central on Saturday. But the temperature reached 73F 23C and it stayed dry all day, so I guess the day ended up a success. The most mentionable event here at FC on Saturday was when FL suggested that we go on Facebook and I disagreed. When she replied that everyone is doing it, I told her that this is a good reason not to. People get ahead in the world when they do what everyone else is NOT doing, not when they join the crowd like a flock of sheep. Then she told me that with all the stuff I write in my FOTD discussions, we might as well be on Facebook. This might be true, but not nearly as many on Facebook have been writing daily discussions about fractals for over 13 years. The fractal cats purred agreement. The next FOTD will be posted in 24 hours. Until then, take care, and the cognitive scientist tells me that I have a brain. The priest tells me that I have a soul. The mystic tells me that I have a spirit. But what is the "I" that possesses all these things? Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= WretchedlyColorful { ; time=0:00:08.30-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=FinDivBrot-2 function=recip inside=255 center-mag=-6.238184136922903/0/1.7683e+011 float=y params=-10/1000000000/100/0 maxiter=300 logmap=35 symmetry=xaxis periodicity=6 mathtolerance=0.05/1 colors=000TelYjqdvxmzzporjfdngVlXLdQJWTH3IFZHD7EOA\ 00CKQENWGQbIThKWoMYuLTtLOsLJrLEqL9qPDpSGpWJoZMobQo\ eTniWnlZniZmfZldZkaZj_Zi`ah`dgaggajfbmeboeOgfA_gNg\ g_ogkwgzskkpozmskjvzmobpizscUuYzuYUuXzuXUuXzuWUuWz\ uWUuWzuVUuVzuVUuUzuUUuUzuUUuTzuTTuJzuTUuSzuSUuSzuS\ UuRUuRUuRUuQUuQUuQUuQUuPUuPUuPUuOUuOUuOUuOUuNUuNUu\ NUuMUuMUuMUuMUuLUuLUuLUuKUuKUuKqzNpzMpzMpzMozMozMo\ zMnzMnzMnzMmzMmzMmzMlzMlzMlzMkzMkzMkzMjzMjzMjzMizM\ izMizMizMhzLhzLhzLgzLgzLgzLfzLfzLfzLezLezLezLdzLdz\ LdzLczLczLczLbzLbzLbzLazLazLazLazL`zK`zK`zKhzJizOi\ zSjzWjz_hzXgzUezSdzPbzNazK`zI2zuAzpIzlQzhXzcdz_lzW\ szSrzVrzXqz_qzapzdyzgtzfpzflzfhzfcze_zeWzeFzhMzfSz\ eZzddzbkzaqz`MzfZzckzawz_xzIszLnzNjzQezShzZdzWazUZ\ zSWzQSzOPzMMzKpz8_zDJzIAzk7zb4zU2zM3zP4zR4zT5zV6zX\ xzuXzi6zZDzSKzL`z9RzE3zE8zGDzIIzJNzLSzNbzEXzOSzYMz\ gHzqCzzHzrMzkRzdWzY8zjzzz } frm:FinDivBrot-2 { ; Jim Muth z=(0,0), c=pixel, a=-(real(p1)-2), esc=(real(p2)+16), b=imag(p1): z=(b)*(z*z*fn1(z^(a)+b))+c |z| < esc } END PARAMETER FILE=========================================

3 2

The Friendly Minibrot
by Roger Alexander 13 Jun '10

13 Jun '10

Today's fractal is another nomadic minibrot, waiting to be adopted at http://maxitersfractalfollies.blogspot.com. fract253.gif { ; the wandering minibrot ; blank ; calctime 0:17:54.18 ; created Jun 12, 2010 ; Fractint Version 2004 Patchlevel 9 reset=2004 type=formula formulafile=_m.frm formulaname=Mandel_alt passes=1 center-mag=-1.41413466833541900/+0.00000000000000000/1666667 float=y maxiter=1500 inside=0 proximity=1 outside=fmod colors=000000000000000000000000jvzivziuzhuzgtzftzfszesydrycrybqybqyapyap\ y`ox_ox_nxZnxZmxYmwYlwXlwXkwWkwVjvVjvVivVivUhvUhuTguTguSfuSftRetQesQdsQd\ rPcrPcrObqObqOapNapN`oN`oM_nM_nMZmLZmLYlLYlKYlKXkJXkJWjJWjIViIViIUhHUhHT\ gHTgGSfGSfFRfFReFQdFQcEPcEPbEObDOaDNaDN`CM_CM_BLZBLZBKYAKYAJXAJWAIV9IU9H\ U9HT8GS8GR8FR8FQ7EP7EO7DN7DM6CL6CL6BK6BJ5AI5AH59G59G48F48E47D37C36B36A35\ A25924824723613512412411301200100000101211312412413523624724825935936A36\ B37C47D48E48F49F59G5AH5AI5BJ6BK6CK6CL6DM7DN7EO7EP7FP8FQ8GR8GS9HT9HU9IUAI\ VAJWAJXBKXBKYBLYCLZCMZCM_DN`DN`DOaDOaEPbEPbEQcFQcFRdFReGReGSfGSfHTgHTgHU\ hIUiIViIVjIWjJWkJXkJXlKYlKYmLZnLZnM_oM_oM`oN`pNapOaqObqPbrPcrPcrQdsQdsRe\ tRetRftSftSgtTguThuUhuUivVivVjvVjvWkwXkwYlwYlwZmxZmx_nx_nx`ox`oxapyapybq\ ybqycrydryesyeszftzgtzhuzhuzivzjvzkwzmwznxzpxzqyzryzuzz } frm:Mandel_alt { ;(c) 1993 by: ; ; LRCMIKE(a)LRC.OLDSCOLLEGE.AB.CA ; ; Michael G. Wareman ; P.O. Box 1856 ; Olds, Alberta, Canada ; T0M 1P0 z = c = pixel: z = z * z + c |z - pixel| < 4 ;SOURCE: frame.frm } Roger Alexander _________________________________________________________________ Look 'em in the eye: FREE Messenger video chat http://go.microsoft.com/?linkid=9734386

1 0

FOTD 13-06-10 (Least Likely Fractal [6])
by Jim Muth 13 Jun '10

13 Jun '10

FOTD -- June 13, 2010 (Rating 6) Fractal visionaries and enthusiasts: Today's image takes us back to the tiny parent fractal of the FOTD image for June 7, where we check into a valley in the degen- erate bud on the northeast shore line of the main bay. Like the minibrots in that image of 6 days ago, the order of the minibrot at the center of today's image is ambiguous. At first glance, the elements around the minibrot appear to be arranged in the expected quadratic 2,4,8... series, but the image is filled with discontinuities, which totally confuse things. The rating of a 6 means I consider the image to be just a little above FOTD average. The name "Least Likely Fractal" means nothing at all, since it gives no hint of what the fractal is least likely to be. The calculation time of 10-1/2 minutes is somewhat slow by FOTD standards, but the wait may be avoided by viewing the finished image on the FOTD web site at: <http://www.Nahee.com/FOTD/> Things turned a bit too warm here at Fractal Central on Satur- day, as the temperature reached 91F 33C. The fractal cats ignored the heat and passed the day on the cool floor in the kitchen. My day was another uneventful one. The next FOTD will be posted in 24 hours. Until then, take care, and keep cool. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= LeastLikelyFractal { ; time=0:10:37.74-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=FinDivBrot-2 function=recip passes=1 center-mag=+0.00994432744737835/+0.010338677909109\ /1.384924e+012/1/-150/0 params=1.99/-0.95/1000/0 float=y maxiter=22500 inside=0 logmap=960 periodicity=6 mathtolerance=0.05/1 colors=000K`IK`HKaHKaIKbJKbKKcKKdLKeMKfMKgNKhOKiOH\ jPEkQBhQ8fR5dS2bS9`PGZNNXKWVIaSFgQDfSHgUKgVNhXQhZT\ i_Wia_jbbjdekfhkgjlilljmjhmhfjgdgebdc``bZY`YVZWSYU\ PWSLUQITOFRMCQL9PK8NJ8LJ8JI8HH8FH8EG8EG8DF8CE8BE8A\ D89C88C87B87B8BF8EI8HL8JO8LR8OU8QX8TWCUWGWWKXVNZVR\ _VV`UZbUacUeeTifTmgTpdRmaPjZNgWMdTKaQIZNHWKFTHDQEC\ ONFKWIHcLElOBmR8nV7hZ6ba5Xe4Rh3Ll2Fo2Ek5Eh7DdADaCC\ YECVHBRJBOMAKOAHQ9DT9AV86Y83_80aC1cF2eJ3fM3hP4iT5k\ W5lZ6nb7pe8qh8sl9toAvrAwsCssEptFmtHjtIguKduLauNZvP\ VvQSwSPwTMwVJxWGxYDxZAklOZza_pW`fRYdUWcWTaZR_`OYbM\ WeJUgHTiJRmLPmNNmOMmQKmSImUGrVFvXDwZBz`9za8zc6ze4z\ g2zh1zi5zi9zjCzjGzkJzkNzlQzlUzmYzm`4nd3ng3ok2on2pr\ 1pu1ot4ns7nrAmqDlpGloJknMkmPlmNmmmnmmnmmommpmmpmmo\ mmnmmmmmlmmkmmjmmimmhmmgmmfmmemxZmzSmzMmzFmz8mz2mz\ 8mzEmzKmzPmzNmzLmzJmzHmzGmzHmzImzJmzJmzKmzLmzLmzMm\ zNmzNmzOmzPmzPmzMmzKmzkmz } frm:FinDivBrot-2 { ; Jim Muth z=(0,0), c=pixel, a=-(real(p1)-2), esc=(real(p2)+16), b=imag(p1): z=(b)*(z*z*fn1(z^(a)+b))+c |z| < esc } END PARAMETER FILE=========================================

1 0

Three Fold
by Roger Alexander 12 Jun '10

12 Jun '10

The irregularity of the natural world reflected by the fractal algortithm-almost but not quite perfect tri-radial symmetry. Tri-radial,I learned that word from Wikipedia today. Don't hesitate go to http://maxitersfractalfollies.blogspot.com for the finished product. There are plenty of photons for everbody. fract251.gif { ; a three armed something ; blank ; calctime 0:06:07.94 ; created Jun 11, 2010 ; Fractint Version 2004 Patchlevel 9 reset=2003 type=formula formulafile=_p.frm formulaname=Phoenix2-1_rjr_c center-mag=-0.00351492/-0.0175803/1.598307 params=0.9733878597369304/0.1380352183599352 float=y maxiter=1600 bailout=360 inside=0 outside=atan invert=0.0841253791708796/0/0 periodicity=0 colors=0FNyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyxxxxxxxxxxxxxxxxxxxxxxx\ xxxxwwwwwwwwwwwwwwwwwwwwwwwwvvvvvvvvvvvvvvvvvvuuuuuuuuuuuuuuuuuuuuuttttt\ ttttttttttssssssssssssssssssrrrrrrrrrrrrrrrqqqqqqqqqqqqqqqqqqppppppppppp\ ppppoooooooooooonnnnnnnnnnnnnnnmmmmmmmmmmmmmmmllllllllllllkkkkkkkkkkkkkk\ kjjjjjjjjjjjjiiiiiiiiiiiihhhhhhhhhhhhggggggggggggffffffffffffeeeeeeeeeee\ eddddddddddddccccccccccccbbbbbbbbbbbbaaaaaaaaaaaa`````````____________ZZ\ ZZZZZZZYYYYYYYYYYYYXXXXXXXXXXXXWWWWWWWWWVVVVVVVVVVVVUUUUUUUUUTTTTTTTTTSS\ SSSSSSSSSSRRRRRRRRRQQQQQQQQQPPPPPPPPPPPPOOOOOOOOONNNNNNNNNMMMMMMMMMMMMLL\ LLLLLLLKKKKKKKKKJJJJJJJJJIIIIIIIIIHHHHHHHHHGGGGGGGGGFFFFFFFFFEEEEEEEEEEE\ EDDDDDDDDDCCCCCCCCCBBBBBBBBBAAAAAAAAA99999999988888877777777766666666655\ 5555555444444444333333333222222222111111111000000000000 } frm:Phoenix2-1_rjr_c { ; This is the Phoenix formula as described by ; Shigehiro Ushiki. mutated by rjr z = pixel zold = (0.0, 0.0): zt = z * z + (p1 * zold) zold = z z = zt |z| < 4 ;SOURCE: phoenix2.frm } Roger Alexander _________________________________________________________________ Look 'em in the eye: FREE Messenger video chat http://go.microsoft.com/?linkid=9734386

1 0

FOTD 12-06-10 (Pits and Bieces [7])
by Jim Muth 12 Jun '10

12 Jun '10

FOTD -- June 12, 2010 (Rating 7) Fractal visionaries and enthusiasts: Today's image is named "Pits and Bieces", which is a play on the words 'bits and pieces'. The reason for the name will be obvious as soon as the image is seen, and with a calculation time of 1-1/4 minutes, the wait will not be long. The parent fractal is a degenerate Mandelbrot set. Today's scene is located some distance east of the remains of the East Valley of the parent. Little East Valley stuff remains in the image, though a few hints appear here and there. Surprisingly, the image is extremely sensitive to changes in the escape radius, imag(p3), which in the image is the formula default of 100. As the escape radius is increased or decreased, the image changes dramatically. It evaporates and vanishes entirely when the value of imag(p3) is increased to about 8500. When imag(p3) is set to -13.92, the image takes the shape of a Maltese cross. Any negative value greater than this gives a blank screen. Before experimenting with the escape radius however, be warned that the calculation time increases dramatically as the ER is increased. When imag(p3) is set to substantially greater values, the calculation time increases to more than 15 minutes. At an escape radius of over 8500 or so, the result is a blank screen consisting totally of 'inside' stuff. But even here all hope is not lost. Using an active inside fill such as 'bof61' brings the blank screen to life. But here again, the calcula- tion time grows even longer. The rating of a 7 seems about right. Calculation may be avoided entirely by viewing the finished image on the FOTD web site at: <http://www.Nahee.com/FOTD/> Near perfect outside conditions kept the fractal cats happy here at Fractal Central on Friday, even though they are inside cats. Partly cloudy skies, low humidity and a temperature of 79F 26C are near perfect by any human's or any cat's standards. In my area, the rush died out in the morning, followed by a slow afternoon. The next FOTD will be posted in 24 hours. Until then, take care, and don't be caught with your fractals down. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Pits_and_Bieces { ; time=0:01:15.73-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=MandAutoCritMinZ function=recip center-mag=+0.2794802820587657/+0.0280646118234618\ /6.298586e+008/1/180 params=1/1/3/-1/0/0/0/0 float=y maxiter=1500 inside=0 periodicity=6 colors=000mVHsPGxHCzCAz68z06``P0ze4zkGsoRks`dvkXzv\ PzzHzzAzzAvzAizAVzAHxA2vA0o00i00b00X000Eu0AmA6eP4Z\ HLeAbk2ss0zx0zzJzskzgzuZCXz6Xz2Xz0Xz0Xz0Xz0Xz0RzCN\ zPJzbGziPzqXzvdqzeezgVzgJzi8zi0zk0zk0zb0kT0VJ0EC0C\ C4ACNACe2Eg0Ei0Gk0Gm0Gm0Ag06d00`00V00R00N00T00Z00b\ 42gA6mGAqLEvRGzzzvzsuqdugPuZ8uP0uG0uoLo0LV0RX4VXH`\ ZTdZegZsm`zq`zu`mxiJzq0zxkxqdovZezRXzLNzGGzdPzzZzz\ gzzixiiqPki6kb8bXAVRALNCEHE6CE08G02G00N0C000`0Ze0i\ k0ui0mg4ggXbebXedRdeLdgGXiERkEJiEEgE6eE0dETbC0bk0L\ T0C8026006004004000000400E00N00X00e00o0Tq0Tz00z0Tz\ PTz8TzUTvRTs`Tzd0zf0zh0zjCzpEzsExuEzz0izE`zTKuzLzz\ XuzezzouzxzzzzzzzzzzzzzzzzzzzzzzzgzzdzzNzz8mT0ZT0J\ TTPTzzzzkzxgzqeziizbmzv`ozP`zXdodebkgPszCzk0zm0zo0\ mk0Pg00d00b00gH0mb0sv0xz0zz0sz0iz0`z8RzGHzN8xV0v`0\ 4z0Cz0JuARmJZeTeZbmRkuJuzEzqkZgz2izEkzPmzZoziqzusz\ zuzzZv4XsAVqGToLTmP`eLe`J } frm:MandAutoCritMinZ {; 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=========================================

1 0