April 2007 - Fractint - mailman.xmission.com

FW: [philofractal] Jim Muth's FOTD Anniversary !!
by Hal Lane 12 Apr '07

12 Apr '07

Congratulations on a great Fractint decade, Jim! - Hal Lane ######################### # hallane(a)earthlink.net <mailto:hallane@earthlink.net> # ######################### >-----Original Message----- >From: Paul N. Lee [mailto:Paul.N.Lee@Worldnet.att.net] >Sent: Thursday, April 12, 2007 6:42 PM >To: fractint(a)mailman.xmission.com >Cc: philofractal(a)lists.fractalus.com >Subject: [philofractal] Jim Muth's FOTD Anniversary !! > > >Greetings!! > > >Well, today was the start of the eleventh year of Jim's posting the FOTD >to the fractal related discussion email lists. > >He has completed ten full years (though not all days within that period >were able to have their own FOTD). But the volume of images is around >3,000 and the main web page has been accessed 279,640 times (averaging >around 76.5 times per day). > >The 5 most popular months have been: > > February, 2005 http://home.att.net/~Paul.N.Lee/FotD/FotD_05-02.html > January, 1999 http://home.att.net/~Paul.N.Lee/FotD/FotD_99-01.html > April, 1999 http://home.att.net/~Paul.N.Lee/FotD/FotD_99-04.html > May, 1999 http://home.att.net/~Paul.N.Lee/FotD/FotD_99-05.html > December, 2001 http://home.att.net/~Paul.N.Lee/FotD/FotD_01-12.html > >The 5 most popular days have been (not counting the anniversary date): > > May 31, 2001 http://home.att.net/~fractals_2/FotD_01-05-31.html > August 30, 2000 http://home.att.net/~fractals_2/FotD_00-08-30.html > November 10, 1999 http://home.att.net/~fractals_1/FotD_99-11-10.html > January 29, 2002 http://home.att.net/~fractals_2/FotD_02-01-29.html > May 26, 2000 http://home.att.net/~fractals_2/FotD_00-05-26.html > > >Sincerely, >P.N.L. >------------------------------------------------- >http://home.att.net/~Paul.N.Lee/PNL_Fractals.html >http://www.Nahee.com/Fractals/ >--------------------------------------------------------------------- -- No virus found in this outgoing message. Checked by AVG Free Edition. Version: 7.5.446 / Virus Database: 269.2.0/757 - Release Date: 4/11/07 5:14 PM

1 0

FOTD 12-04-07 (Spider-Web Arms [8])
by Jim Muth 12 Apr '07

12 Apr '07

FOTD -- April 12, 2007 (Rating 8) Fractal visionaries and enthusiasts: Today we introduce a new formula, which will replace the old MandelbrotMix4 formula. The new formula is named MandAutoCritInZ. This is short for "Mandelbrot -- Automatic Critical value of Initial Z". And this is exactly what the old M-Mix4 formula did. The new formula adds an additional variable parameter to the old formula, which allows an extra adjustment to initial Z. This is necessary because some functions of the type handled by the new formula have two critical points, and the formula calculates only one of them. A drawback of the new formula is that it can not initialize Z to the second critical point automatically. To do this, both critical points must be manually calculated and the difference entered as the adjustment to Z. This may be done graphically or mathematically. The graphic method is far more fun. Sometimes both critical points produce identical fractals; sometimes the identical fractals are mirror images of each other; sometimes the two critical points produce totally different fractals. Finding out is much of the fun of the new formula. Today's image was created by subtracting Z^(2.6) from Z^(2.4) and adding C. I named it "Spider Web Arms" because the pattern in the four angular arms around the central midget reminds me of spider webs. The spider-webs are actually open-inside areas decorated by the 'fmod' inside fill. I rather like the image, so I rated it at an 8. Today's image is a slow one, with a calculation time of over 43 minutes. But the wait may be avoided by visiting the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> where the completely rendered image is or soon will be posted for instant viewing. In tomorrow's FOTD I'll discuss all the MandelbrotMix formulas and what they are supposed to do. A sunny mild morning turned into a cloudy mild afternoon here at Fractal Central on Wednesday. The temperature reached 52F 11C, which is still well below normal. Rain moved in at nightfall, but by then the fractal cats had finished their evening treats and were more concerned with washing each other's faces and chasing each other up and down the hallway. My day was actually not too unpleasant. And the above-average fractal for today shows it. The next fractal, hopefully also above average, will appear here in 24 hours. Until then, take care, and don't get lost in an ocean of iterations. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Spider-Web_Arms { ; time=0:43:47.58--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandAutoCritInZ function=ident passes=t center-mag=-2.14487395538943600/+0.299702679142293\ 80/4.74766e+008/1/25/9.6356e-006 float=y logmap=228 params=1/2.4/-1/2.6/0/0/0/0 maxiter=5000 inside=fmod proximity=0.05 periodicity=10 colors=0000009L0BO0CR0DU0EY0G`0Hc0If0Jh0Pj0VkA_nKe\ pUksfpxmuzszzztwzotjjqiemh`hgWcfRZeMUdHPcCKbAOd8Te\ 7Yf5bg4gh2li1qj2lh3gf3bd4Yb4Ua5P_5KY6FW6BV9GSCLPEP\ MHUJKZGMbEQ`JTZOWYTZWYbUbeTghRlkPqnOvIJPJKNJKMJKLJ\ LKJLJJLHJMGJMFJMEJMDNUMR`VK4IKAMKIQKMSKPXKS_KVcKYg\ K`gKchKehKhiKkjKnjKqkKskSeCUbBV`BWZBYXBZVB_SBaQBbO\ BcMBeKBfHBgFBiDBjBBk9Bl7BkAEkDHjFJjIMiKPiNRhPUhSXg\ VZgXaf_dfafediefkY_wXYoWXhVWaUUUTTNSSGQSJPSLOSNNSP\ LSSKSUJSWISYGS`FSbESdDSfImYHnVHoTHpRHpPGqNGrLGsIGs\ GFtEFuCFvAFv8ZuCNcFQmIUkMYhP`eSdbVh`ZkYaoVdrTgqVfw\ XfcZfp`foafocfzzfngfnhfmdgm`hmXilTjlPklLllHmhJkeLj\ bMi_OhXQgURfRTeOVdLWcIYbFZaLV`RR_WNZaJYfFXaD_XBaSA\ dO8fJ7iE5kA4mFK`K_OOnBJhCEbD9YEATNBOWARTATRAWPAYMA\ `KAbI9eF9gD9jB9l89o69q49s28r28q28q28p28o28o28n28m2\ 8m2Dn6HnALnE`s9ox4nhHnUUmFfm0sl4pl7nkAkkDijGgjKdiN\ biQ_hTYhWWg_TgbRfeOfhM8Vb } 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=========================================

2 1

FOTD 11-04-07 (Odd Fractal Out [6])
by Jim Muth 11 Apr '07

11 Apr '07

FOTD -- April 11, 2007 (Rating 6) Fractal visionaries and enthusiasts: I'll soon be posting a discussion about how I choose good parameters for the MandelbrotMix4 formula. I had hoped to have it ready today, but the truth is I am not sure exactly how I find my parameters. I would have assumed that the exponents in today's formula are too close together to do much of interest, but I entered them in the M-Mix4 formula anyway. Today's parameters define a formula that combines Z^(1.95) with Z^(2.05) and adds straight C. I chose the exponents because the average of 1.95 and 2.05 is 2, and since Z^2+C is the classic Mandelbrot formula, I wondered if a formula where the average of the exponents is 2 would have anything special to offer. As it turned out nothing unusual appeared. The parent fractal resembles one of the perturbed Mandelbrot sets, with a very non- critical look about it that makes the search for interior midgets almost useless. But even though there are no midgets in the parent fractal, there are many interesting nooks and crannies, with much to explore. Today's image is located very near the negative X-axis of the parent fractal, in a blunt valley centered on the axis and pointing east. I named it "Odd Fractal Out", since it has no midgets hidden within it and I could think of nothing better. The rating of a 6 might be a bit liberal, but the image really is rather striking, and the calculation time of 9-1/2 minutes is marginally within reason. Those do not calculate Fractint parameter files may view the image on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> where it is posted for sheer enjoyment. I have updated the MandelbrotMix4 formula, and starting tomorrow I'll retire the old workhorse and switch to the new version for most of my fractals. The newer version will be able to draw the fractals that result when Z is initialized to a second critical point of the formula. Heavy clouds and continued chilly temperatures in the 40's F (around 8C) made Tuesday far less than ideal here at Fractal Central. The fractal cats must have agreed, for they were unusually sulky most of the day. It took extra tuna to raise their spirits. My day was actually quite pleasant, at least compared to the way things have been for the past couple months. And tomorrow looks to be a repeat. I already have tomorrow's FOTD fractal, and it's a pretty good one, so check back here in 24 hours for a fractal surprise. Until then, take care, and search for those patterns in the void. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Odd_Fractal_Out { ; time=0:09:25.19--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=ident center-mag=-0.68373061187701090/-0.000464846373378\ 43/3556049 params=1/1.95/1/2.05/0/0 float=y maxiter=1500 inside=0 periodicity=10 colors=000WaSVaTTaURaVQ`WO`XN`YL`ZJ`_I``G`aXL_OTaF\ `b3fa5gb7gc9hdBheDifFifHigIjhKjiMkjOkkQkkSllUlmVmn\ XmoZnp`npbnqdorfosgptipukpumqvoqwqrxsrytryrqwqpvop\ unotlnsknrimqhlpflnekmcjlbjk`ij_hiYhhXggVffUfdSecR\ dbPdaOc`Mb_LbZJaYJc_IaXH`VG_TFYREXPDWMCVKBTIASG9RE\ 8QB7O96N75M52K14L35L56L77L88MA9MCAMEBMFCMHDNJENLFN\ MGNOHOQIOSJOTKOVLOXMPZNP_OPaPPcQQeRQfSQhTQjUQlVRmW\ RoXRqYRsbSw`RuZRtYRsWQrVQqTQpSQoQPnOPmNPlLOkKOjIOi\ HOhQQkYRnfSpnTswVvvUuuTuuTttStsSssRsrRrrQrqPqpPqpO\ poOpnNonNomMnmLnlLmkKmkKljJllKmjJliJkhIjgIifIheHgd\ HfcHebGdaGc`Gb_FaZF`YF_XEZWEYVDXUDWTDVSCURCTQCSPBR\ OBQNBPMAOLANKAMJ9LI9KH9KJBLLCMNENPFORHPSIQUJRWLSYM\ T_OUaPVbQWdSXfTYhVZjW_jUZkX`l_bmbdndfoghpjjqmlrons\ rpturuxtvzvtstrmsqgqoapmWnlQmjKkiEjlGenI`qJXsLSuMO\ vLMwKJxJHRV`OS_LPZKO_IMYHLWGJUFISEHQDFOCEM2AIBDLKF\ NhbJfbKebLcbMbaN`aOZaPYaQ } 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=========================================

1 0

FOTD 10-04-07 (Galactic Circles [5])
by Jim Muth 10 Apr '07

10 Apr '07

FOTD -- April 10, 2007 (Rating 5) Fractal visionaries and enthusiasts: Today's image takes us into the parent fractal that results when the formula Z^(1.25)+C is iterated 220 levels up the logarithmic ladder. This parent fractal is a near shapeless thing with one large main bay and only hints of higher-period buds. It is so shapeless that it must be studied carefully before its Mandeloid characteristics become evident. Today's image is located in the circle-filled debris piled along the western shore of the main bay of its parent. I named the image "Galactic Circles" because it is filled with tight little spiral circles that almost resemble tiny satellite galaxies. But it takes more than a horde of circles to make a fractal worth a high rating, and I could find nothing extra in today's image -- thus the rating of 5. The render time of 4-3/4 minutes is relatively fast as fractals go. And even better, the finished image is posted for viewing on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> It has been asked how I fing good parameters to enter into the MandelbrotMix4 formula. In tomorrow's FOTD, we'll start discus- sing this question. Monday was another raw chilly day here at Fractal Central. The sky was cloudy, and the temperature, which should have been near 59F 15C, never made it above 43F 6C. The only thing mis- sing was the snow flurries. The fractal cats didn't mind the conditions one bit. They stayed cozy warm by the heat. My day was actually close to normal for a change. And with any luck at all, things will stay this way. The next FOTD will appear in 24 hours. Until then, take care, and where there's fractals there's hope. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Galactic_Circles { ; time=0:04:41.66--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotBC2 passes=1 center-mag=-0.49534375705044250/-0.526598078447610\ 50/5502.968/1/142.5/-1.55795903955535664e-010 params=1.25/0/220/0 float=y maxiter=3600 inside=0 outside=tdis periodicity=10 colors=000OjJOkLPlMQmNQnPRoQSpRSqSYhWc`ZiSbnKelJdj\ IdhIcfHcdHbbGbaGb_FaYFaWE`UE`SD_RD_PC_NCZLBZJBYHAY\ GAYOGbVLgaQkhVpo_ttPcsQarR`qRZpSYoSWnTVmTUlUSkURjV\ PiVOhWNgXLfXKeYIdYHcZFbZEa_D`_B_`AZ`8Ya7Ya6Z_8ZY9Z\ WA_UB_SC_QD`OF`MG`LHaJIaHJaFKbDMbBNb9Oc7Pc5Qc4RZFV\ UQZP`aKkeGvhFrjFokElmEinDfpDcqC`sCYtBVvBSwEVtHXrJZ\ oM`mPcjRehUgfXicZlaanZdkXflVgmXgmZgk`gibggdgefhchh\ ajh_lhYnhWphUrhStgUmfVgeXadYWc_Qb`KabE`c8_d248C4AD\ 4BE4CF4EGWHHaMIbRKcWLe`MhcNkfOngQqhRtiSvkTwlUxmWyn\ XzpYzqZzr_zsYzuWzvUzwUzxUzyUzzZzzczzfzzizzlzzozzrz\ zuzzzxzztzzpzyksxgowcju_esV`qRWoNRmIMpEHrACu67wC7s\ I7oN7lT7mZ7mc7mi7mo7mt7m9WrBTwCRwEPwFMwHKwIIrKFoLD\ lNBiO9fPBcPDcQFZQGURIPRKKRMJSNLSPNTRPTTRTUSUVRUVRV\ WQVWQVWPWXPWXOWXOXYNXYNYZMYZMYZLZ_LZ_KZ_K_`J_`J_`J\ b_OdZSgYWzjzzjzzjzzjzzjzzjzzjzzjzzjzzjzzjzzjzzjzzj\ zzjzzjzzjzzjzzjzzjzzjzzjz } frm:MandelbrotBC2 { ; by several Fractint users e=p1, a=imag(p2)+100, p=real(p2)+PI q=2*PI*floor(p/(2*PI)), r=real(p2)-q Z=C=Pixel: Z=log(Z) IF(imag(Z)>r) Z=Z+flip(2*PI) ENDIF Z=exp(e*(Z+flip(q)))+C |Z|<a } END PARAMETER FILE=========================================

1 0

FOTD 09-04-07 (FOTD for April 09, 2007 [No Rating])
by Jim Muth 09 Apr '07

09 Apr '07

FOTD -- April 09, 2007 (No Rating) Fractal visionaries and enthusiasts: Today's image shows the type of fractal I was fascinated with about 15 years ago. It is a scene on the northern shoreline of the Mandelbrot set, just west of the large northern bud. But it does not resemble this area as we know it. (To see a more familiar view of the same scene, change both parameters to zero and recalculate the image.) The strange appearance indicates that the image is a scene in a perturbed M-set. The fossilized buds that form the ghostly remains of the 'true' M-set are plainly visible as background shadows, but they are partly obscured by the surging low-iteration 'perturbed' stuff that is swiftly overwhelming the scene. If the parameters are changed ever so slightly, the purplish foreground stuff will shift position dramatically. But if the fossil buds in the back- ground are visible at all, they will be in the same position. The background buds do not change position when the starting point is changed because in perturbed sets, regardless of where points begin their travels, if they do not escape first, they will eventually settle into the same orbits as points that start at zero. There is much more to tell about the fossil buds visible in today's image, but that will have to wait until a slower day. For now, I must point out that today's scene is neither named nor rated. And its calculation time is just under 15 minutes. But as always, the completed image is or soon will be available for quick viewing on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> The weather continued most un-springlike here at Fractal Central on Easter Sunday, with cloudy skies, temperatures hovering around 36F 2C, and flurries of snow throughout the day. The fractal cats noted the snowflakes, but were more interested in seeing how much turkey they could beg. They were courteous at first, but when Cassie leaped onto the table and started helping herself to the turkey, they were banned from the dining room for the duration. Guests don't appreciate cats of any variety snatching slices of turkey from their plates. I managed to get through the whole dinner affair somehow. And now that it is behind me, I can look forward to things returning to normal in the upcoming week. The next grand FOTD will appear in 24 hours. Check back then to enjoy or ignore it. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= FOTD_for_Apr_09_97 { ; time=0:14:53.51--SF5 on a P200 reset=2004 type=mandel passes=t center-mag=-0.2117\ 8372638/+0.64346029754/1504.395/1/-8.5/3.63894e-012 params=0.75/-0.75 float=y maxiter=325000 bailout=5 inside=255 logmap=62 periodicity=10 colors=00002ci3x03ch4w05cg5v06cf7v07cf8u08ce9t0Acd\ As0BccCs0CcbDr0EcbEq0FcaFq0Gc`Hp0Hc_Io0JcZJn0KcZLn\ 0LcZMm0McYNl0OcYOk0PcXQk0QcYRj0ScXSi0TcXTi0UcWVh0V\ cWWg0XcWXf0YcVZf0ZcU_e0_cW_e0_cS_b0__O_X0_WL_S0_PH\ _M0_JD_G0_D9_A0_89`A9aBAaCAbDAcEBcFBdGBeHCeICfKCgL\ DgMDhNEhOEiPEjQFjRFkSFlUGlVGmWGnXHnYHoZIo_Ip`IqaJq\ cJrdJseKsfKtgKuhLuiLvjLvkMujNtiNshOsgOrfPqePqdQpcQ\ obRoaRn`Sm_TmZTlYUkXUkWVjVViUWhTWhSXgRXfQYfPZeOZdN\ _dM_cL`bK`bJaaIa`Hb`Gb_FcZEbZFcZEcZEcZEcZEcZEcZEcZ\ EcZEcZEcZEdZEdZEdZEdZEdZEdZEdZEdZEdZEdZEdZEeZEeZEe\ ZEeZEeZEeZEeZEeZEeZEeZEfZEfZEfZEfZEfZEfZEfZEfZEfZE\ fZEfZEg_Eg`EgaEgbEgcEgdEgeEgfEggEghEgiEhjDikDilDjm\ EjnFkoGkpHlqIlrJmsKmtLnuMnvNowOowPpwQqwRqwSrwTrwUs\ wVswWtwXtwYuwZuw_vw`vwawwbxwcwxexxgxxixxkxymyyoyyq\ yyryzszztzzuzzvzzwzzxzzyzzzzzzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzz00I } END PARAMETER FILE=========================================

1 0

Re: FOTD 06 Apr 07
by Jim Muth 08 Apr '07

08 Apr '07

At 10:07 AM 4/8/07 -0700, you wrote: >Jim, > >what is the plural? Hast? The plural of 'hath' is 'have'. 'Hast', as used in 'hast thou' means 'do you have . . .?' >- Bud > >----- Original Message ----- >From: "David M Fisher" <sunfish(a)intercom.net> >To: "Fractint and General Fractals Discussion" ><fractint(a)mailman.xmission.com> >Sent: Saturday, April 07, 2007 16:43 >Subject: [Fractint] Re: FOTD 06 Apr 07 > > >Jim, > Just finished checking the list, and read your comment for 06 Apr FOTD. ><Hath> is singular and <numbers> is plural. Either drop the <s> on numbers >( which in context would not make much sense) or use the plural <have>. I >know it's old English, but that only makes the precedent more correct. > >David M Fisher sunfish(a)intercom.net > > >---------------------------------------------------------------------------- >---- > > >> _______________________________________________ >> Fractint mailing list >> Fractint(a)mailman.xmission.com >> http://mailman.xmission.com/cgi-bin/mailman/listinfo/fractint >> > > > >_______________________________________________ >Fractint mailing list >Fractint(a)mailman.xmission.com >http://mailman.xmission.com/cgi-bin/mailman/listinfo/fractint >

1 0

Re: FOTD 06 Apr 07
by David M Fisher 08 Apr '07

08 Apr '07

Jim, Just finished checking the list, and read your comment for 06 Apr FOTD. <Hath> is singular and <numbers> is plural. Either drop the <s> on numbers ( which in context would not make much sense) or use the plural <have>. I know it's old English, but that only makes the precedent more correct. David M Fisher sunfish(a)intercom.net

2 1

Re: FOTD 06 Apr 07
by Jim Muth 08 Apr '07

08 Apr '07

At 07:43 PM 4/7/07 -0400, David Fisher wrote: >Jim, >Just finished checking the list, and read your >comment for 06 Apr FOTD. <Hath> is singular and ><numbers> is plural. Either drop the <s> on >numbers or use the plural <have>. I know it's >old English, but that only makes the precedent >more correct. Dave: I checked the dictionary and found that you are right and 'hath' is wrong. I'll have to note this as another of the many little inaccuracies that have appeared in the FOTD over the past 10 years. Jim Muth

1 0

FOTD 08-04-07 (FOTD for April 08, 2007 [No Rating])
by Jim Muth 08 Apr '07

08 Apr '07

FOTD -- April 08, 2007 (No Rating) Fractal visionaries and enthusiasts: My apologies for a late Easter Sunday FOTD. In fact, today's FOTD is both brief and late. But Easter will soon pass, the heavy graphic work is already finished, and with any luck at all, things will be back in their accustomed routine by Tuesday. The fractal for today takes us to the Z^(1.25) Mandeloid as it appears 121 levels up the logarithmic spiral. At this lofty level, the fractal resembles little more than a shapeless blob with a few hints of equally-shapeless buds. The active little midget, which appears to be exploding near the center of today's image, is located just inland of the ragged bud on the northeast shoreline of the main bay of its shapeless parent fractal. With almost no time to devote to fine-tuning today's image, I could not give it a name or rating. But luckily the image is a fast one, rendering in only 2-1/3 minutes on my worn-out 10-year- old computer, which is well past the point of no return. So if the image disappoints, little time and effort will have been wasted. It is never a wasted effort however to visit the FOTD web page at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> and view the finished FOTD images there. Saturday brought cold temperatures, some sunshine, heavy clouds and snow squalls to Fractal Central. The fractal cats interrup- ted their usual activities long enough to watch the snow fall, then, satisfied that all was well, they returned to their fun and games. My day was not too busy with serious work, but it was far from slow. Against my advice, fractal lady invited some friends to Easter dinner on Sunday, and I was selected to purchase the supplies. Oh well, unlike the FOTD, Easter comes only once a year. BTW, the next FOTD will appear in 24 hours. Until then, take care, and search for the meaning of fractals. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= FOTD_for_Apr_08_07 { ; time=0:02:21.66--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotBC2 center-mag=+0.7104895602\ 1611750/+0.34294555698040560/333.8528/1/5/2.061385\ 78429104768e-012 params=1.25/0/121/0 float=y maxiter=1200 inside=0 outside=tdis periodicity=10 colors=000X`CXbFWeIWgLWiOVlRVnUUqXUs_UuaVr`Vp`Wm`W\ k`Xh`Xf_Yc_Ya_YZ_ZX_ZUZ_SZ_PZ`NZ`KZ`IZZNWYSUXXSWaP\ UfNTkLSpIRuGQzEPuDPpDPlDOgCObCOZCNUBNPBNLBMGAMBAM7\ ANHDOQGPZJQgMQpPUnWXlaYf_Z`Y_VW_PUaQWcQXeQYgQZiQ_f\ Q`cRa`RbYRc_RdaRebRfaSbaT_`UX`VU`VRI5qFDoCKn9Sm6Zl\ 3fk0mj7gfDacKX_QRXXMTbGQhBNN0yV5jaAXhFJoK5E9jH9nK9\ qN9tQ9wF5l52a97WDCQGGKKLENP9LO6lx3gr4cm4_g4Vb4RX4N\ S4KAEJBDJCDJCCJDCJEBJEBJFAJFAJG9JH9JH8JI8JJ7JJ7JK6\ JK6JL5JM5JM4JN4sG42XK3WJ4WI5VH6VH6UG7UF8TE9TE9SDAS\ CBSCCRBDRADQ9EQ9FP8GP7GO6HO6IN5JN40gI2eH3dG4cF5bE6\ aE7`D8ZC9YBAXBBWACV9DU8ES7FR7GQ6HP5IO4M4FL7DLABKDA\ KF8sIoqKmpMknOilQgjSehUcgVbeX`cZZa`X_bVZdTXfRVhPTj\ NSkMTdOTYQTRSTLUSMSRMQQMPQNNPNLONKNOINOGMOFLPDLPBK\ PAJQ8IQ6IQ5HR3GR1GR0NZKTfbSe`SdZRcYRbWQaVQ`TP_SP_Q\ PZPOYNLM6OXMNWKNVJMUHMTGMTELSDLRBKQAKP8JO7JN5wzZrv\ VnrSjnPfjMbfJZT6ZT3YW6YY9 } frm:MandelbrotBC2 { ; by several Fractint users e=p1, a=imag(p2)+100, p=real(p2)+PI q=2*PI*floor(p/(2*PI)), r=real(p2)-q Z=C=Pixel: Z=log(Z) IF(imag(Z)>r) Z=Z+flip(2*PI) ENDIF Z=exp(e*(Z+flip(q)))+C |Z|<a } END PARAMETER FILE=========================================

1 0

FOTD 07-04-07 (FOTD for April 07, 2007 [6])
by Jim Muth 07 Apr '07

07 Apr '07

FOTD -- April 07, 2007 (Rating 6) Fractal visionaries and enthusiasts: Today's image came about when I combined 4 negative parts of Z^(-1.25) with 0.2 negative parts of Z^(-6.67) and added (1/C). This mixture produced an oversized parent fractal consisting of 4 large bays and a very prominent 'fan'. Many baby Mandelbrot sets lie along the outer edge of this 'fan', with today's image lying deep in the East Valley of the largest of these midgets. Due to the computer problem here at F.C. I had little time to work on today's image, which means I could give it no name. I did give the colors a bit of attention however, which justifies the rating of a 6. I have some bad news and some good news. The bad news is that the image takes 37 minutes to calculate on my 10-year-old P200 machine; the good news is that the completed image may be viewed almost instantly on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> An unseasonable temperature of 37F 3C and flurries of snow made Good Friday an appropriately somber day here at Fractal Central. But the main FC computer is repaired, reconnected, and running as good as new. The problem was what we suspected -- a block of memory had worked loose. Now all I must do is make up the time that was lost while the fast machine was in the shop. I have also decided that it might be time to pick up a new computer and switch the aging 2300mhz machine to fractal work. The fractal cats do not concern themselves with computers. Their main concern is to keep as warm as possible, which they did quite well most all day. The next FOTD will be posted in 24 hours. Until then, take care, and become one with the infinite, whatever that means. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= FOTD_for_Apr_07_07 { ; time=0:37:01.08--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=recip center-mag=+3.34629969641900300/-1.386021735753816\ 00/1.114633e+010/1/-137.5/-6.09703004501929713e-005 params=-4/-1.25/-0.2/-6.67/0/0 float=y maxiter=7200 inside=0 periodicity=10 colors=000aiP`iO_iNZiMp`JsfFleLfeQ`emVe_OedIeiCen6\ es0jx1fs1go1gk1hg2hc2im2iW2jm2kO3km3lG3lm3m83m47k6\ Bi7Eh9IfALeCPcDSbFW`G_ZIbYJfWLiVMmTOpSPjOSdKVZGVTC\ `N8YO7aO7XO6`P6WP6_P5VP5_Q5UQ4ZQ4TR4YR3SQ3XP3QP6TO\ 8OOBQOELNHOMJJMLKKOGIRFGUCIXAL_8Ob5Rd5UgAXhF_jKblP\ enUhoZkqcnrhqtmturwwvzxzrcknPjjOigOidOiaNiZNiWNhTM\ hQMhNMhKLhHLgELgBKg8Kg5KgBLaHLWNLRTLLZLFdLAbM9`M8Z\ N8YN7WO7UO6TO6OIJJCWF7gE7gICfLHeGDwHEtHErHFpHFnIGl\ IGjIHgIHeJIcJIaJJ_JJYLLXMMWOOWPPVQRUSSUTUTVVSWXSXY\ RZ_Q_`QabPbcOceOefNfhMhiMikLjlLhkKgkJejJdjIbjIaiH_\ iHZhGYhGWhFVgFTgESfEQfDPfDOeCMeCLdBJdBIdAGcAFc99YA\ Ec9Ih8Nm7Rv6Rr7Ro7Rk7Rh7Rd7Ra7RY8RV8RR8RO8RK8OD9RH\ 8UK7WN7ZR6`U5cX5e_4hc3jf3mi2ol25bDJUKWMRhEXiFWiGVj\ HUjITkJSkJRlLSlMTmNUmOUnPVnQWoRWoSXpTYpUYpVZqX_qY_\ rZ`r_as`asabtbctccubduaeu`es_drZcqYbpXaoW`rZ_mUZlV\ YjSXaEOhQVgPUfOTeNSdMRcKQ } 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=========================================

1 0