February 2006 - Fractint - mailman.xmission.com

Winfract update
by Tim Wegner 20 Feb '06

20 Feb '06

Jonathan Osuch, bless him, took the ancient Winfract program (The Windows 3.1 port of fractint) that Bert Tyler wrote and merged it with the latest Fractint source. This is still very rough, and there are things that don't work. Winfract is located at http://www.fractint.org/ftp/experimental/Winfract.zip We'd appreciate it is some of of you fractint experts systematically looked at the program an let us know what is not working. Some things we have already noticed: 1. doesn't toggle to arbitrary precision 2. Keystrokes that involve ctrl keys don't work. 3. the Cellular type doesn't display in the window, although it seems to run. 4. The types that load a file, such as formula, lsys,.. cause a segfault. 5.The winfrac docs are hopelessly out of date. 6. Numerous menus need to be added or updated. Keep in mind we are not talking about improvbing Winfract at this point, just getting it to work right. It's a strange program, kind of a hybrid of a very early Windows programming effort by Bert and a port of the character-based fractint interface to Windows. But because you can see the DOS menus in Winfract, it's not so bad to use if you are familiar with the DOS. Tim

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ICM 2006 Benoit Mandelbrot Fractal Art Contest
by Damien M. Jones 18 Feb '06

18 Feb '06

ICM 2006 Benoit Mandelbrot Fractal Art Contest Call for Fractal Artists To coincide with the International Congress of Mathematicians (ICM) 2006 event held in Madrid, Spain at the end of August, a collection of fractal art will be exhibited as well. Professor Benoit Mandelbrot himself has agreed to lend his name to the exhibition (and he will be a plenary speaker at ICM). Many of the artworks to be included in this exhibition will be selected from the results of a contest--this contest. ANYONE MAY PARTICIPATE! We invite you to submit up to three (3) images to be considered for inclusion in this exhibition. A panel of judges will review all the entries and select ones to be printed, framed, and put on display. For complete details, included all the rules, please visit the contest web site: http://www.fractalartcontests.com/2006/ Please pay particular attention to the size requirements; if your artwork is selected, you will need to be able to provide a high- resolution version of your image for printing. Post-processing of images IS ALLOWED but you absolutely must be able to send a larger version. As a special note, although this is the "Benoit Mandelbrot" Fractal Art Contest, we don't require your submissions to be from the Mandelbrot set. All fractals are welcome submissions. We don't care what software you use, we want to see your best fractal art. We're accepting submissions from now through May 1, so you've got plenty of time to create something special. This notice is freely distributable, provided it is not altered. It would be helpful, but is not required, to let me know where else you post it so I can avoid duplication. Damien M. Jones dmj(a)fractalus.com http://www.fractalus.com/gallery/ http://www.damienmjones.com/

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FOTD 17-02-06 (Un-named, Un-Rated)
by Jim Muth 17 Feb '06

17 Feb '06

FOTD -- February 17, 2006 (Unrated) Fractal visionaries and enthusiasts: The work is once again piling up, and once again it will be necessary to take a short break in the FOTD. As a result, the next FOTD will appear on Tuesday, February 21. Today's image is a scene in the fractal that results when various portions of Z^(-1.4) and Z^(-7.7) are combined, and (1/C) is added. Having put almost no effort into the image, I gave it no name and no rating. The render time of 12 minutes is a bit slow, but this slight delay may be avoided by downloading the completed GIF file from the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Warm sun, gentle breezes and a temperature of 66F 19C were just what the fractal cats ordered on Thursday. But the yard is still covered by wet, half-melted snow, and by deep mud where the snow has melted. The cats went onto the porch to enjoy the sun, which is just skimming the tops of the holly trees. After checking the ground with their sensitive paws, they decided not to venture farther. My day was unacceptably busy, so busy in fact that I must take several days off of the FOTD to get caught up. But have no fear. The next FOTD will appear in four days on Tuesday, February 21. Until then, take care, and something is nigh. I just have not yet found out what. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= FOTD_for_17-02-06 { ; time=0:12:14.41--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=recip passes=1 center-mag=+2.23787354579008500/+0.001234010529961\ 90/106388.4/1/-25/-1.57640629716571112e-010 params=1/-1.4/0.4/-7.7/0/0 float=y maxiter=900 inside=255 logmap=48 periodicity=10 colors=000MXwPYxSZxV_xY`y`aycbzfczhdzjevkeslepmemn\ ejoegqecre`seYteVueSvePweMrcKmaIh_GdYE_WCVUAQS8MQ6\ HO4CM28L0CN4GO8KPBOQFSRJWSM_TQcUUgVXkW`oXdsYgpZcmZ\ `jZYgZVd_Sa_PZ_MW_JUTNTMRSFVRKUROUQSUQWTP_TPcTOgTO\ kSNoSNsSNwSLsVKoYIk_HhbFddE`gDXjBUlAQo8Mq7It6FvAGv\ EGvIGvMGvQGvUGvYHvaHveHviHvmHvqHvuHvfToSchEnaDnaFp\ TGqLIrDJs5b15eHGhWRkkamzlYa`JEQIFOHFNGFMFFKEFJDFIC\ FHRKSdPbrTmURP6Q15P55P85PC4PF4PJ4PM2Ph8QdER`KSYQTU\ WUQaVNgWJmWGhUPcSXZQdVOl`LkfJjlGirEhxChmHacMVUQPKV\ IA_B0c57_7DX8KU9QRAWOCbLDhIEnFFiLKdQO_WSV`XQf`LkdH\ phx62s8DnAOjCZeEiaFsPQiC`_0jQ4a_8ThCKqFCzq4TfAYXFb\ MLfCQk2VoHGlV2jP5iK8iFBiAEi5GifN8_TBbXId`OfdUig`kk\ fmolorrnjlmcflX`kPVjIPiBJi4Ea9IVDMOHPGLT9PX2T_trCG\ gWLhVPiVTjVYkValVemVimVepbbsj_vrXxyYhpYUhYF`Y0TV4W\ T8ZRCaOGcMKfKOiIRke_XNUc4Pi5Re6Ta7VY8XU9ZQA`MBbIBc\ FR_MfWTuSZgScUShSOgRLfmmz } 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 16-02-06 (No Name, No Rating)
by Jim Muth 16 Feb '06

16 Feb '06

FOTD -- February 16, 2006 (No Rating, No Name) Fractal visionaries and enthusiasts: I think this is the first time I have used the JuliaMixRecip formula, which I wrote a number of years ago to calculate the Julia sets of the c=recip fractals drawn by the MandelbrotMix4 formula. The JMR formula does this, though in a rather laborious way. Today's iterated expression starts with Z^(-1.5), combines it with 1/4 as much Z^(-6.5), then adds (1/C). The resulting parent Mandeloid fractal is one of the typical indescribable things created by negative powers of Z, with the usual array of circular disks and zig-zag curvy filaments. Today's Julia set is associated with a valley of its correspond- ing Mandeloid. From the looks of the image, I would assume the valley is of the Seahorse variety. I put very little effort into the image, so I do not consider it worth a name or rating. The render time of over 16 minutes is true on my ancient fractal computer. On a more up-to-date unit, it will finish in a couple minutes. The most efficient way to see the image is to download it from the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> With the inside heat back on and the outside temperature at 57F 14C, Wednesday proved pleasant for the fractal cats. The snow is still piled deep however, so they did little exploring. My day was quite busy, a condition that will prevail for several months to come. The next FOTD will appear in 24 hours. Until then, take care, and be consistent. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= FOTD_for_16-02-06 { ; time=0:04:35.17--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=JuliaMixRecip passes=1 periodicity=10 center-mag=0.803292/0.592572/8.083552/1/25/-5.0501\ 269832637e-014 params=1/-1.5/0.25/-6.5/5.383/-0.082 float=y maxiter=1000 inside=0 outside=tdis colors=000RZqS`pSbpSdoTfoThnUjnUlmUmmSkjRihQgfPecO\ caNa_M_YKYVJWTIURHSPGQMFOKEMICKFBIDAGB9E98C67A4682\ 5709A4DD8GGCKIGOLKRONVQRYTVaWZeYbh`elcipemshqwkuzm\ xylwylwylwxlwxlvxlvwlvwlvwluvluvluvluultultulttltt\ lstlsslsslsslrrlrrlrrlrzowrlrjjmbhiWfdOc_GaW8_R0WL\ 1YN1ZO1`P1aQ1cR2dS2fT2gU2iV2jW3lX3mY3oZ3p_3r`4sa4u\ b4vc4xd4ye4zf7ye9yeByeDydFydHydJycLycNycPybRybUybW\ yaYya_yaay`cy`ey`gy_iy_ky_my_nwYnvXouWotVprUpqTqpS\ qoRrmQrlPskOsjNsiMzkLzmKueJudIvmHvmGwmFw_ExYDxXCyW\ ByVAyU9xTBxSDxSFxRGxRIxQKxQMxPNxOPxORwNTwNUwMWwMYw\ LZwK`wKbwJdwJewIgvIivHkvGlvGnvFpvFrvEsvEuvDwvDxwJm\ xObyTSzYIzZIz_Iz`IzaI_dW9gi8ij8jj8kj8lk7nk7ok7pl7q\ l6sl6tm6um6vm9thBrdDp`GnXImSKkONiKPgGRfCVjFZnIbqKf\ uNixPRqR8kTCjWFjZIj`LicOieSihVijYhm`hochrfhtWOoM4k\ GAcAFW4KOAOLGSJMVHSZFYbDbeBadEacGacIabLaaN`aP``R`_\ U`_W`ZY_Y__Yb_Xd_Wf_WhZTc } frm:JuliaMixRecip {; Jim Muth z=pixel, c=p3, a=real(p1), b=imag(p1), d=real(p2), f=imag(p2): z=(a*(z^b))+(d*(z^f))+(1/c), |z| <= 100 } END PARAMETER FILE=========================================

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FOTD 15-02-06 (No Name, Rating 7)
by Jim Muth 15 Feb '06

15 Feb '06

FOTD -- February 15, 2006 (Rating 7) Fractal visionaries and enthusiasts: Fractal Central is quite chilly today due to a failure of the area gas main, which somehow filled with water and cut the supply. But despite the indoor temperature of 57F 14C, the fractal of the day is hot. Today's fractal trip takes us rather deep into East (Elephant) Valley of the Mandelbrot set, where the elements are quite pinched off. After a brief search, we find and check a tiny midget surrounded by seashell-like features. I gave the image no name, but despite the minimum effort I put into it, the result is worth a rating of a 7, which is how I rated it. The render time of 3-3/4 minutes will be cut to a matter of seconds on the present day fireball units, assuming, that is, that the fireball unit in question is not over-qualified or vesa-deprived. In any case, the completed GIF image is posted on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> from where it may be downloaded at leisure for viewing. With the temperature inside dropping toward the temperature outside, the fractal cats were hard pressed to find warm comfort. Luckily, an emergency space heater saved the day for them. For me, the work room was quite chilly, but the work was accomplished. With the crew from the gas company still trying to figure things out, tomorrow is likely to be another chilly but productive day. Until next FOTD, which is due in 24 hours, take care, and keep a stiff but not frozen upper lip. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= FOTD_for_15-02-06 { ; time=0:03:49.26--SF5 on a P200 reset=2004 type=mandel passes=b center-mag=+0.2500\ 9435507823240/-0.00000148471698750/1.173282e+011/1\ /110/0.00016038707256020579 params=0/0 float=y maxiter=200000 bailout=5 inside=255 periodicity=10 colors=0000P40K20F00B0050000s0To0Qk0Og0Ld0J_0IW0FS\ 0CO09J06F05902500000OFWG9O95F205zpTyhOo`JeUFVL9KD5\ 840ze`zaXuZVpVSkSPfPL`LJWIFQDCKB8F65820000JJzFFsCC\ k99d66W44O00F0050UP0PK0KG0FCzzzxxwwuuurssoqqlooiml\ fhhaddXZ_SUUNOqaZrcXsdWueVwfVwgUyhTziSzjQzkPzlPrTU\ f5Zg6`h6ci8ej8gk8il9kl9nn9poBrpBtqBwrCysCzsCzoBw00\ Uk9sh8od6j`6gX5cU4ZP2UL0PI0LD0G80B405000kzofwi`odW\ hZQ`TKUNFLG8D9042XD0SB0N80I50C20oz0lw0grTakPXfLT`I\ OUDIOBCI6692020NfpJ`iGVcCQW9KQ5DJ28B002kfzhcwe_saX\ oZUjVQfSOaOKXKGSGDNC9I85C42600004q00QPzhNzeLwcJs_I\ oXGjUDgSCcOBZL8UJ6PF4LC2G80B5050000z4wq2lg0cW0UL0J\ 8060zz0yy0ss0ll0gg0``0VV0OO0II099zzozukupholekhagd\ Zd`V_XSWTOSQKNNGGKCBB8554000qpVfeOWVIKK98820P00B00\ z004T0oz0kz0gt5`n2Sa0IP06Bw5zp4sj2ne0g_0aU0VN0PG0I\ 90B20200W00U00S00P00O00Lz0Jz0Gz9FzNCzZ9zi6zt50z20z\ 00w00rF0nC0iB0e90a80X6000 } END PARAMETER FILE=========================================

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FOTD 14-02-06 (No Name, No Rating)
by Jim Muth 14 Feb '06

14 Feb '06

FOTD -- February 14, 2006 (Not Rated) Fractal visionaries and enthusiasts: Today's image, with its striking 7-pointed stars, is a Julia set of the Z^(1.05)+C Mandeloid as it appears 100 levels up the spiral ramp. I gave it neither name nor rating. The best point of today's FOTD might be its extremely brief render time, which was achieved by rendering it with 'passes=b'. The image has been posted on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> A sunny cold day with deep snow kept the fractal cats snug indoors on Monday. There was enough work to keep me busy also. The next FOTD will be posted in 24 hours. Until then, take care, and beware of stray Julia sets. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= FOTD_for_14-02-06 { ; time=0:00:45.09--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=JuliaBC passes=b center-mag=0.272078/0.421181/0.6642625 params=1.05/0/100/3500/-0.27/0.38/0/0 float=y maxiter=1500 inside=255 logmap=31 periodicity=10 colors=0000kk0jk0ik0hk0gkzzzywzwuuurnrpgpnanlVljOj\ gJgeDeb6c`0aZ0_W0XU0VQ0QJ0SQ0SW0S`0Qb0Sd0Vc0Xa0__0\ aV0aS0cQ0eO0gJ0rH0zF0z_0zD080FF0BO08V26_64cB2gH0lM\ 0pQ0uV0za0w_0n_0e_4__BQXHHXO8XV2Xa0Vg0Vn0Vu0zz0Vz0\ 0a00B00H00O00S00_00c00j00n00u00z00z00z02z04z06z0Bz\ 0Fz0Hz0Mz0Qz0Sz0Xz0az0cz0gz0lz0nz0rzAuzKyzUzzczzcz\ zhzzhzzmzzmzzrzzwzzauz_nzXgzVczSXzQQzOJzMDzJ8zH2zF\ 0wD0w20zD0zM0zV0ze0zn0zw0zz0zz0zz0zy0zw0zu0zr0zp2z\ n4zl8zjDzgHzeMzcQzaVzXVzaXzcXzgXzjXznXzpXzuXzwXzzX\ zzXzzXzzXzzXzzXzzXzz0zy0zu0zr0zn0zl4zg8zeDzaHz_JzJ\ cu6ue0zO0zQ0zQ0zS0yS0wV0rV0nX0jX0e_0c_0_a0Va0Qc0Mc\ 0Jc0O_0SV0VQ0_M0aH0eD6gBHl6Sp2cr6nwSyynzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\ zzzzwzznzwgzu_zrQznJzlBzj4ze0zc0za0z_0yS0nM8cFQSBg\ H4y60z00zueBpeDjeFegJ_gMVgOQjSJjVFjX8la4lc0yj0leM_\ agMXz8Sz02z0Fz0Qz0a8DgB8c } frm:JuliaBC { ; Formula by Andrew Coppin e=p1, p=real(p2)+PI, q=2*PI*floor(p/(2*PI)), r=real(p2)-q, C=p3, Z=Pixel: Z=log(Z) IF(imag(Z)>r) Z=Z+flip(2*PI) ENDIF Z=exp(e*(Z+flip(q)))+C |Z|< p4+100 } END PARAMETER FILE=========================================

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FOTD 13-02-06 (No Name, Rated 7)
by Jim Muth 13 Feb '06

13 Feb '06

FOTD -- February 13, 2006 (Rating 7) Fractal visionaries and enthusiasts: Today's search takes us to a Julia set 80 levels up the logarith- mic hyperspiral of the Z^(sqrt(2))+C Julibrot. The image we find there is a rather delicate network of finely-divided 'outside' stuff. I gave the image no name, though I did give it a rating. IMO, the image rates a 7. The render time of under 2 minutes is brief enough so that no one should be afflicted with impatience while rendering it. Another way to avoid impatience is to download the completed GIF image from the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> About one foot, or 30cm, of snow fell Saturday night here at Fractal Central. The fractal cats sneaked onto the porch this afternoon and checked the conditions for about one minute before determining that the day would be better spent indoors. My day was spent clearing snow and drinking coffee. The next FOTD will appear in 24 hours. Until then, take care, and what's it all about? Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= FOTD_for_13-02-06 { ; time=0:01:51.72--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=JuliaBC passes=1 center-mag=0.0603662/\ -0.0127642/0.9150369/1/117.5/3.885780586188048e-016 params=1.4142/0/80/0/-0.131/0.0124/0/0 float=y maxiter=1000 inside=0 logmap=yes periodicity=10 colors=0000Wz0Vy2Ux3Tw3Sv3Ru3Qt3Ps3Or3Nq0Mp0Lo0Kn0\ Jm0Ik0Hi0Gg0Fe0Ec0Da0C_0BY0AW09U5AXACSFESKGRPERUCR\ XAUO9WH8YA7_46aICYWHVZGV`GVbFVdFVgEViEVkDVmDViERfE\ OcEK`EHYEEVEASE7PE4FBV68u9ErCJoEOmRNecMYpMQsQavTly\ WwpWogWgZW_QWSHWLTbLciLopLzzLywKxtKwoKvjJueJt`JsXJ\ t_MubPvdSwgVxjYxl`mm_cn_Un_RcVPURNKMLAIJEMHIQFMTDQ\ XBU`9Yc7ag5ejBghGhfMidRkcXlaam_fnZboV_pRXqNUrKLTKK\ QQKNVKK_KHdKEiQJeVNa`RYeVVjZRpbNufJzjGvaCsU8pM5nQ7\ lU9jYBh`CfdEdhGblIaoJYlLVjNRgPOeRKbTH`VEZXDY_DXaCW\ dCWfCViBUkBTnBTp8Oo4Fl27i1Bf1Ec0H`0KYPAKm16l88lF9l\ MAkSBkZCkeDkkEliKmgPnfUod_pbdpaiZgUHmE_uIWuMSuPOuS\ KuVGuYCu`8uc5uf7mc9e`AYYCQVEISFBPCDUAEZ8Fc6Gg4Hl2I\ q0Ju7OcDTMJY5PZ6UZ6__6d_6j_7o`7u`7z`7XpLVnPUlSTkVS\ iYQgaPfdOdgNcjRbdVa_YaVa`Qd`LnbNxdOsRIoDCk07h5De9I\ bDN`HSTIMLIGDIA6I49N7CS9EXCH`EKeGMjJPoLRsNVsTZsYbs\ cfshjsnmssotbpuMovKowKowK } frm:JuliaBC { ; Formula by Andrew Coppin e=p1, p=real(p2)+PI, q=2*PI*floor(p/(2*PI)), r=real(p2)-q, C=p3, Z=Pixel: Z=log(Z) IF(imag(Z)>r) Z=Z+flip(2*PI) ENDIF Z=exp(e*(Z+flip(q)))+C |Z|< p4+100 } END PARAMETER FILE=========================================

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FOTD 12-02-06 (No Name, No Rating)
by Jim Muth 12 Feb '06

12 Feb '06

FOTD -- February 12, 2006 (Not Rated) Fractal visionaries and enthusiasts: Today's image illustrates several of those overlapping midgets that I find so interesting. But these overlapping fractals are natural. They are not layers created artificially by the program. And BTW, it *is* possible for Fractint to create fractals consisting of two layers, though I have never used this feature. The image was created by adding (1/Z) to half as much Z^(1.3), then adding C. I gave the image no name and no rating. I could find nothing in it worth a name or a rating. The render time of 1-1/4 hours on my ancient fractal machine will be reduced to well under one hour on the newer units, but this is still quite slow for such an unimpressive image, so to make things more convenient, I have sent the finished image on ahead to Paul at the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> where it is available for instant viewing. Cloudy chilly weather in the morning and light wet snow in the afternoon kept the fractal cats indoors all day Saturday. The snow grew heavier as night fell, so I doubt they will have much quality outdoor time for several days. My day was kept quite busy with odds and ends. If all goes well, the next FOTD will appear in all its unglory in 24 hours. Until that unglorious moment arrives, take care, and look for light. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= FOTD_for_12-02-06 { ; time=1:14:18.63--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=ident passes=1 center-mag=+0.88591873573364850/-0.056354097741100\ 40/511.7917/1/-142.5/-1.0555584184501754e-012 params=1/-1/0.5/1.3/0/0 float=y maxiter=16000 inside=0 logmap=188 symmetry=none periodicity=10 colors=000UK0000<7>000<4>000zz0<4>zz0zz0zz0000z00\ <10>z00<4>z00zz0<4>zz0zz0000<82>000<4>00000z<32>0\ 0z<4>00z<14>0Uz<3>0az1cz2ez3gz4iz<3>BqzDszFuzHwzJ\ yz<15>nzzpzzrzz<3>zzzwzzxzzyzz<22>zzz } 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 11-02-06 (Freezing Rain [9])
by Jim Muth 11 Feb '06

11 Feb '06

FOTD -- February 11, 2006 (Rating 9) Fractal visionaries and enthusiasts: Many years ago I posted a FOTD which illustrated a fractal tree covered with snow. That image is still one of my favorites. Today's image is a near repeat of that 9-year-old image. The image is a Julia set of the Z^(1.5)+C Mandeloid as it appears PI levels up the logarithmic spiral, or more accurately at ground level of the spiral. When studying the image, I had the impression of a tree covered with a thin coating of ice, such as might be deposited by freezing rain. I named the image "Freezing Rain". Since the image really is quite striking, I decided to give it a rating of an impressive 9. The render time of under 2 minutes means that no one will become impatient while running the parameter file. Impatience may be totally eliminated by downloading the completed GIF image from the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Slightly milder weather here at Old Fractal Central on Friday gave the fractal cats almost two hours in the holly patch. While the cats were lurking there, a flock of about 100 robins descended on the holly trees to feast on the ripe berries. The dynamic duo chattered at the birds but decided not to stalk them. My day was once again quite busy. Unless something goes very wrong, the next FOTD will appear in 24 hours. Until then, take care, and search for divinity. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Freezing_Rain { ; time=0:01:58.26--SF5 on a P200 reset=2004 type=julzpower passes=1 center-mag=0.248742/0.516361/12.43454/0.784 params=-0.203/0/1.5/0 float=y maxiter=73 inside=253 logmap=yes periodicity=10 colors=000KmzKmzKmzKmzKmzKmzKmzKmzKmzKmzKmzKmzKmzK\ mzKmzKmzKmzKmzKmzKmzKmzKmzKmzKmzKmzKmzKmzKmzKmzKmz\ KmzKmzKmzKmzKmzKmzKmzKmzKmzKmzKmzKmzKmzKmzKmzKmzKm\ zKmzKmzKmzhROhRQiRRiRPhROgQNeQNcPMaOLZOKVMISKGPIEM\ HDJFBGD9DC8IJANPBccczzzzzzzzzzzzggDhdBhbAi_8iY7jV5\ jT4kQ2kO1kM0gN1dN1aN1ZO1WO1SO1PO1MP2JP2GP2CP29Q26Q\ 23Q20Q24R78SBBSFFTJJTOMUSQUWUV_XWc`WhdXlgXpkYtnYxK\ Q_LKTMFMNAGNEYNHnMMlLQkKUiJZhJbfIfeHkcGobGsaHtbHtc\ ItdItdIteJtfJtfJtgKuhKuhLuiLujLujMukMulMulKtiJtgHt\ eGscFsaDsZCsXArV9rT8rR6rO5qM3qK2qI1qG5mE9jCDgAHd8K\ a7OZ5SW3WT1ZQ0YO4XN8XMBWLFVKJVJMUIQTGUTFXSE`RDdRCg\ QBkQAnS9lU9kW8jY8i_8ga7fb7ed6df6bh6aj5`l5_m5Zk8ZiB\ ZgEZeHZcKZaNZ_PZYQ`WRaVSbTSdSTeQUfOUhNViLWjKWkQUfW\ TaaSXfRTdTTbWT`ZTYaTWcTUfTSiTQlTOnTRlVUjXXiZ_g`aeb\ dddgbfjahl_joYlrXnuVpwUrnc_emIXw0Wq7VkEUeLT_STVYST\ _RSaQRbPQdpaPq`RKmz`Ura_s } END PARAMETER FILE=========================================

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FOTD 10-02-06 (A Squared Square [7])
by Jim Muth 10 Feb '06

10 Feb '06

FOTD -- February 10, 2006 (Rating 7) Fractal visionaries and enthusiasts: The parent fractal of today's image came about when I combined (1/Z) with 1/2 part of Z^(1.3) and added C. I will not attempt to describe this parent fractal, which may quickly and easily be reproduced. Today's scene is located on a side filament of the tiny negative stem of its parent. Though I put almost no effort into the image, it still earns a rating of a 7. It also seems worth a name, so I gave it the name, "A Squared Square." The reason for the name will be immed- iately apparent when the image is seen. The insignificant render time of 54 seconds on my 10-year-old machine will become even more insignificant on a newer unit. The brief render time may be eliminated entirely by downloading the finished GIF image from the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Continued routine winter weather limited the cats' outdoor time to under one hour here at Old Fractal Central on Thursday. The heavy work limited my free time to under one hour also. The next FOTD has an 87-1/2 percent chance of being posted in 24 hours. Until then, take care, and be at ease. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= A_Squared_Square { ; time=0:00:54.32--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=ident center-mag=-1.23418273295020500/+0.031146616623795\ 07/12899.22/1/160/-1.29940921564375422e-008 params=1/-1/0.5/1.3/0/0 float=y maxiter=400 inside=0 periodicity=10 colors=000KmBNhEPcHSYKVTNYOQ_JTbOUdTUfYUhbUeWieXee\ XaeYYeYUeZQeZNzmJz_Fmczzz7ez3e`0ah4Yp8UwBSnIQfOOZV\ MQ`KIgIAjG2fH7bIBYF9T00LHIaAEVAAAHczEQzCPm9Ph7Oc4N\ Z2MU0MM5LaALzBMzCMzCNzDNzEOzEOzFPzFPzGQzHQzHRzIRzI\ RZKWbM`fOeiQjmSopUttVxwXwuZvt`vsburdtpftohsnismkrk\ mqjoqiqphsofuoewndxnct`SpNGmA4j97h9Af9Dd9Fb9I_8LY8\ NW8QU8TS8VP7YN7`L7bJ7eH7hF7jI6iL6iO6iQ6iT6iW6iZ6i`\ 6ic6if6ii6ik6ii9ghBegDcfFbdH`cJZbMXaOW_QUZSSYUQXWP\ ZYO`_Oa`NcbNecNfeMhfMjhMkjLmkLomLpnKrpKsqKkgVdYeYO\ p`QncSlfTjiVhkWgnYeqZct`ava`rd_of_lhZhjZelYbnYZpXW\ rXTtWQvWbfMnRDjQGgPIcPL`ONXNQUNSQMVNLXJL_GKaCJd9Jf\ 5Ii2Ik8SdDaYIkSNWWRGZGLl5Pz6Rw7St8Tr9UoAVmBWjCXgDY\ eEZbF_`G`YHaVIbTJcQKdOQ`TWXYaUbfQglNlrJqwGuuHotIjs\ IdrJ_qKVpKPoLKnLFoPMoTToW_o_foblfefYgaPjWGlRHjTIhU\ JfWKdXLaZM__NYaOWbPUdQSeRPgSNhTLjUJkVHmWFnYGlZGk`G\ jaGhbGgdHfeHeGwCFx8Ex4Hr8 } 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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