November 2005 - Fractint - mailman.xmission.com

(Fractint) Paul Lee's web site
by Barry Smith 05 Nov '05

05 Nov '05

Has Paul's site been down for a few days? I don't mind rendering for just a few minutes, but .... -------------------- Barry W Smith P O Box 442, Jamison Centre ACT 2614, Australia Tel. (Home & answering machine) (02) 6251 2119 International +61 2 6251 2119 e-mail: bsmith(a)cyberone.com.au

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Re: [Fractint] (Fractint) Paul Lee's web site
by nick.grasso＠nasrecruitment.com 04 Nov '05

04 Nov '05

Barry Smith wrote: >>>Has Paul's site been down for a few days? I don't mind rendering for just a few minutes, but ....<<< Works fine for me, although it looks like fractals for Nov. 3 or Nov. 4 haven't been posted yet. Nick

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FOTD 04-10-05 (Inner Viol [6])
by Jim Muth 04 Nov '05

04 Nov '05

FOTD -- November 04, 2005 (Rating 6) Fractal visionaries and enthusiasts: Yesterday's discussion was brief indeed. But there is no need for alarm. I am not running out of ideas, nor am I growing bored with fractals. The unexciting explanation is that there was a power glitch just as I had finished the regular longer discussion. The glitch caused my tired old computer to recycle before I had a chance to save the discussion that I had just finished. With a sizable job waiting I had no time to rewrite the FOTD. As a result I got mad and took about two minutes to gather the parameter info and write a brief discussion outline. The main point of the lost discussion led from the magnified difference between very close exponents of Z in the range of 0.6, to the existence of unanswerable questions of life. Unfor- tunately, I do not recall most of what I wrote, but there were no earth-shaking new philosophical insights included. As for today's fractal, it is a scene in the western extremity of yesterday's fractal, which is the parent fractal of today's image. The name "Inner Viol" indicates that yesterday's image is shaped somewhat like an ancient stringed instrument. The unusually intricate pattern of filaments in today's image raises the rating to a little-above-average 6. The render time of 7-1/2 minutes means that not too much time will have been wasted if the image proves disappointing. And for those whose new-fangled computers are allergic to Fractint, the completed GIF image is available on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Blue skies streaked with angel-hair cirrus and a temperature of 66F 19C made outdoor conditions near perfect here at Fractal Central on Thursday. The cats approved heartily and spent the afternoon taking it easy in the holly thicket. Today is starting sunny and even warmer. The duo will rejoice. And all fractal fans will rejoice when the next FOTD appears in 24 hours. Until then, take care, and look to the fractal side. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Inner_Viol { ; time=0:07:29.79--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=ident passes=1 center-mag=-0.74977525674683410/+0.360637169020974\ 40/5.954354e+010/1/-5.00148649754509389/0.00723513\ 747033688315 params=100/0.6/-100/0.61/0/300 float=y maxiter=950 inside=0 logmap=156 periodicity=10 colors=000M6IK6HJ6GI6FH6EJ8DKADMBDNDCPFCQGCRIBTKBU\ LBWNAXPAZQA_S9`T9bV9cX8eY8f_8ha7ib7jd7lf6mg6oi6pk5\ rl5sm5tn5rm7rl9okBljCjiEghGegHceJadL_cMYbOWaQU`SS_\ TQZUOWVMUVKSVIQVGOVENWCMX3KZALYGLXNJUTPT_ISfNQlHNr\ GLzFKzHJzIKyKLxLMwNMvONuQOtRPtTPsUQsWRrXSrYSr_Tq`U\ qbVpccremtfwvhzxmzzwzzzzzzzxszvpztn`rl_pkZniYohXof\ XoeWocVpbUp`TpZSpYSqWRqVQqTPqSOrQNrPNrNMrLLsKKsIJs\ HIsFItEHtCGtBFt9Ev19t8ErFJpMOnSTlZYjebikghhehfcgda\ gb`f`ZfZXeXVeVUdTSdRQdPOcNNcLLbJJbHHaFGaDE`BC`9A`7\ 9b8Ad8Af9Bg9BiABkAClBCnBDpCDqCDsDEuDExACvDEuFGtIIs\ KKrMLqPNpRPoURnWTmYUk`WjbYie_hgagibfldenfdqhcsj`yj\ bukdqkemkgikiekjaklYknUkoQkqMksIktEkvAkx6ky3knCicL\ hSUhTTgTTgTTgUSgUSgUSgVRgVSgVUgVWgWYgWZgW_fX`fXafX\ bfXcfYcfYcfYcfZdfZefZffZgfWhcUi_RkXPmTNoQLqSJsUHuW\ FwYEx_QzRazIlz9IzEKzILzLMzOUzRWzVczYkz`nzcpzftzgoz\ hoziizjizkdzlczmZznZzoTzp } 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 03-10-05 (Viol [6])
by Jim Muth 04 Nov '05

04 Nov '05

FOTD -- November 03, 2005 (Rating 6) Fractal visionaries and enthusiasts: To be brief: Today's fractal is named "Viol". It rates a 6. It renders in 28 seconds. The finished image is available on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Wednesday was a perfect day for the cats. The next FOTD arrives in 24 hours. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Viol { ; time=0:00:28.89--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=ident center-mag=7.26135/0/0.136612 params=100/0.6/-100/0.61/0/300 float=y maxiter=500 inside=0 logmap=yes symmetry=xaxis periodicity=10 colors=000M6IK6HJ6GI6FH6EJ8DKADMBDNDCPFCQGCRIBTKBU\ LBWNAXPAZQA_S9`T9bV9cX8eY8f_8ha7ib7jd7lf6mg6oi6pk5\ rl5sn5tn5qm7ol9mkBkjCiiEghGegHceJadL_cMYbOWaQU`SS_\ TQZVOXXMWYKV_IUaGTbESdCRf3PkAQgGQfNNaTSY_KVfPSlHOr\ GLxFIwHJwIKvKLvLMuNMuONuQOtRPtTPsUQsWRrXSrYSr_Tq`U\ qbVpcWpeWofXohYoiZnkZnl_mn`moampann`nl_nkZniYohXof\ XoeWocVpbUp`TpZSpYSqWRqVQqTPqSOrQNrPNrNMrLLsKKsIJs\ HIsFItEHtCGtBFt9Ev19t8ErFJpMOnSTlZYjebikghhehfcgda\ gb`f`ZfZXeXVeVUdTSdRQdPOcNNcLLbJJbHHaFGaDE`BC`9A`7\ 9b8Ad8Af9Bg9BiABkAClBCnBDpCDqCDsDEuDExACvDEuFGtIIs\ KKrMLqPNpRPoURnWTmYUk`WjbYie_hgagibfldenfdqhcsj`yj\ bukdqkemkgikiekjaklYknUkoQkqMksIktEkvAkx6ky3knCicL\ hSUhTTgTTgTTgUSgUSgUSgVRgVRgVRgVRgWQgWQgWQfXPfXPfX\ PfXPfYOfYOfYOfZNfZNfZNfZNfWOcUP_RQXPRTNSQLUSJWUHYW\ F_YE`_QhRapIlx9ILEKMILQLMUOUYRWaVceYki`nhcpmftjgoi\ hofiicji`kdYlcUmZRnZOoTLp } 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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Re: [Fractint] quaternion product correction
by Russell Walsmith 03 Nov '05

03 Nov '05

Tim, Your mention of POVRay (below) inspires me to inquire if Fractint can be enabled to provide the kind of looks at 3D objects such as are seen in this 'T-set' video at http://ixitol.com/html/videos.html This object, rendered in POVRay, is generated by the formula T-set { x=real(pixel), y=imag(pixel), v=p1 x1=y1=v1=0: a = x1^2 + 2*y1*v1 b = v1^2 + 2*x1*y1 c = y1^2 + 2*x1*v1 x1 = a+x, y1 = b+y, v1 = c+v z = x1^2 + y1^2 + v1^2 z < 100 } Perhaps it is a function of my still limited familiarity with Fractint, but thus far only 2D slices of this object have rendered therein, and those views only in planes perpendicular to one of the three axes. Does Fractint offer functionalities in this respect of which I am yet unaware? If not, would it be possible perhaps to port over some of the pertinent POVRay code? It would be awesome if this kind of 3D imaging were possible "in house". Ciao, Russell ----- Original Message ----- From: "Tim Wegner" <twegner(a)swbell.net> To: "Fractint and General Fractals Discussion" <fractint(a)mailman.xmission.com> Subject: Re: [Fractint] quaternion product correction Date: Tue, 25 Oct 2005 21:13:27 -0600 > > More concerning my correspondence with Wes Loewer. > > One of the things that attracted me to Hypercomplex numbers was that > there is a general way to calculate a function on the hypercomplex > numbers from the analogous complex function. Wes showed me how to do > the same thing with quaternions. It isn't quite as elegant, but it's > not hard. This means I could add fractal types quaternion and > quaternionj that are exact analogues (with equal generality) of the > hypercomplex and hypercomplexj types. (These are general because they > use a function variable that can be set to a variety of analytic > functions.) There are some quaternion types already in fractint but > they are less general. > > I guess I should check out POVray also for the same generalization > possibility. > > I'm enjoying the possibility of this project since I haven't > contributed any code to fractint for a long time. Jonathan has been > holding down the fort by himself. > > Tim > > > _______________________________________________ > Fractint mailing list > Fractint(a)mailman.xmission.com > http://mailman.xmission.com/cgi-bin/mailman/listinfo/fractint

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FOTD 02-10-05 (Diced Midget [5])
by Jim Muth 02 Nov '05

02 Nov '05

FOTD -- November 02, 2005 (Rating 5) Fractal visionaries and enthusiasts: It looks like a very busy day coming up here at F.C., so today's discussion will be short, to the point, and perhaps a bit too intuitive. For today's image I returned to the workhorse MandelbrotMix4 formula, which has been almost totally ignored during the past month. Exponents of Z between zero and one do not usually make fractals, but when the difference between two exponents in this range is magnified, as it is in today's formula, a fractal surprisingly results. Today's image is based on the tiny difference between the square root of Z, which is Z^0.5, and Z^0.5001. It reminds me of diced vegetables, so I named it "Diced Midget". The wildly clashing colors might work well as party decorations, but they do not make a great fractal. As a result, I could rate today's image no higher than a 5. The surprising thing about differences between exponents of Z in the range between 0 and 1 is that, like negative exponents, they produce fractals that are sensitive to changes in the bailout radius. If the bailout (imag[p3]+100) of today's image is raised, the image soon breaks apart and evaporates. But unlike the fractals that result from negative exponents, the empty 'inside' area that is left over from images such as today's has little of interest that might be revealed by an inside fill such as 'bof61'. Hopefully, the preceding analysis is reasonably correct, with the rush that is expected, I wrote it without checking. One thing certain however is that the image takes almost 29 minutes to render on my machine. But this render time may be avoided by downloading the finished image from: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Another very pleasant day on Tuesday here at Fractal Central left the cats satisfied. They enjoted themselves in the holly patch until sunset, which is just after 5pm at this time of year. My day was reasonably satisfactory. Today is starting sunny and only slightly chilly. Until the next FOTD, which will appear in 24 hours, take care, and look for light. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Diced_Midget { ; time=0:28:51.14--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=ident passes=1 center-mag=+5.91382457401014100/+2.748610007654852\ 00/343217.3/1/-172.5/8.37328130443015795e-009 params=10/0.5/-10/0.5001/1150/25 float=y maxiter=7500 inside=0 outside=summ periodicity=10 colors=000Q_ePUbOP`NKYIiYKZXLPWHW4IT9JQEKNILKNMHSa\ dVYZWVUWSPWPKW4SNANQGJTcL1B3DE9GHEIKJKNOMQTPTYRWbT\ YgV5fEChJJiOQkTXlYcnbjogpplkihfbeaWaXPZSIWQXjPUgOR\ eOPcNMaNK_MHYMgSMcTM_TMXUMTUMPVMMVMIWQW6PTAPRDOPGO\ NJNLNNJQMHTQA2PCAODHNEPtPHoNJkMLfLNbKPZIRUHTQGVAQL\ DNOFLQIJSKHUKh2Lb8LXEMRKMLQMQvOnvNbmMRdnVP_NTOycNs\ bNmaNg`Na_MWZMQYMKXW3BT6HR9MOCR2nC5iF7eHA`KCXMFSPH\ ORKJUNWuMTqMRmMOiMMfMJbMHZ2Yh6Ue9RcCOaGL_JIYUC_SDZ\ RDYQEYOEXNFWEghFcfG_dHXcITaJP_KMZLIXBT4DQ9FOEHMIJJ\ NLHSMcCMZGMUKMPOMKSYzeWscUlbSe`RZ_PSYNLXTRDPLNe2px\ l6ncDdWJVNQV1oFzOJbSE4qG7lI9hJBcLD_wEGjFMYFRWhxRUi\ vjhlbdcVaVNZ4pL7iNAcPDYRGRTJLVgKIaIMXHPRGT5`U8XVBT\ VEQVHMWKIWdoQ`hRYbSVXTSRUPLV8WqATmCRjEOgGMdIJaKHZl\ oScbUVRVolAieFcZJYSOSLS7UFARICPKENNGLPIJSKHUwWKrTM\ mRNhPPdNQ_LSVJTQHVlMUhLVdKV`JVXIWTHWPGWNJzMHoMGe_X\ RXUSVRTTOUQLVOIWUomSijRdg } 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 01-10-05 (Diamond in the Rough [5)
by Jim Muth 02 Nov '05

02 Nov '05

FOTD -- November 01, 2005 (Rating 5) Fractal visionaries and enthusiasts: Today's image shows a squared Mandelbrot midget. Yes, I know that the Mandelbrot set results from squaring Z, but today's unlikely formula squares the entire Mandelbrot set. More correctly, the formula scrunches and stretches the set. And it changes the entire set into a diamond shape, along with its midgets. It wreaks total havoc with the normally placid iteration bands. Today's image shows one of the midgets deep in East Valley of the large midget on the negative stem of the parent M-set, which itself has been changed into a diamond. To add a bit of depth, I rendered the image with the outside set to 'tdis'. As for the formula itself. It was not written by me, and I have no idea what the original author was trying to do. I named the image "Diamond in the Rough", and rated it at an average 5. I could not rate it higher because too little effort was put into adding diamond-like sparkle. The name is a bit misleading, as diamonds in the rough have an irregular shape. They do not take on the typical diamond shape until they have been carefully cut by a master craftsman, which is one reason why they are so costly. The fractal diamond's almost non-existent sparkle may be seen by running the attached parameter file and waiting a few minutes, or by downloading the finished GIF image from the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> The sunny 73F 23C weather on Monday was perfectly perfect here at Fractal Central. The cats were near perfectly happy. I cannot claim absolute happiness for the cats because who knows what goes on in a cat's mind. But with the work under control, my day was satisfactory. Today is starting the same as yester- day. I expect good things. Until tomorrow, when the next FOTD appears, take care. The Halloween hauntings have ended; the saints have arrived. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= DiamondInTheRough { ; time=0:08:47.12--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=C4G passes=1 center-mag=-1.74996259251\ 672100/0/7.855169e+008/0.7484 params=1/0.8 float=y maxiter=16000 inside=0 outside=tdis symmetry=xaxis periodicity=10 colors=000Lj`Ji_IhYHgWFfVEeTCdRBcPAbO8aM7`K6_J4ZH3\ YF2YE4XF6XG7WG9WHAVHCVIDVIFUJGUJITKKTLLSLNSMOSMQRN\ RRNTQOUQOWQPWPPXPQZORYORZNSYNSZNTYMT_MU`LUbLVcKWcL\ VbMUaNT_NSZORYPRWQQXQPYROYSNYTMYTMYULWVKWVJVWITXHS\ YHRYGQZFO_EN`DM`CKaCJbBIcAGc9Fd8Ee7Cf5De7Ed8FcAGbB\ HaCH`EI_FJZGKYILXJLXKMWMNVNOUOPTQPSRQRSRQUXmLVlKUk\ KTjKRiKQhJPgJOfJMeJLdJKcIIbIHaIG`IF`II_JK_JN_JP_KS\ _KU_KW_KZZL`ZLcZLeZMhZMjZMlZMAKS9JR9IR8IQ7HQ7GP6GP\ 5FO5EO4EN3DN2EM3DN3CN3CN3BO3BO4AO4AP49P49P48Q58Q57\ Q57R56R56R65S65S64S64T63T63TA5UD7UG8UJAUMCUPDUSFVV\ GVYIV`KVcLVfNVgOViOVVTBUWETYHS_KScLRaMQ_NPYOOXPNVQ\ NTQMRRLQSKOTJMUIKVMEUIJVEOWATX3_V7XYBU_FSbJPdNNgRK\ iVHkZFnbCpfAsj7uo4yn5wm5ul6sl6qk7pj7ni8li8jh9hg9gf\ AefAceBadB_cCZcCXbDVaDT`ER`EQ_FOZFMYGKYGKYGJZJMZMP\ ZPRZSUZVW__Z_da_hc_mf_rh`vkmzzmyzmxzmwzhvwcutZtqXs\ pWrnUqlTpkSoiQngPmeNldMkb } frm:C4G {; p1 is (plus or minus) 1 or i x=real(pixel), y=imag(pixel)*p1 a=b=0: a1 = a^2-p1^2*b^2 b1 = 2*a*b a=a1+x, b=b1+y z = sqrt(a^2 + b^2) z < 4 } END PARAMETER FILE=========================================

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