March 2011 - Fractint - mailman.xmission.com

<Albrecht>Is this the correct fractal?
by Hal Lane 01 Apr '11

01 Apr '11

Albrecht, all, You said: > hope YouÂ´ll like this image. I do. > Please advise, if You have any difficulties generating. > Probably will not run under Windows. If the image I calculated is the one you created, then, yes, I like it a lot. Is this (below) the correct fractal, Albrecht? I adjusted the .PAR info and calculated the image using DOS Fractint 20.04.4 under WinXP. Here's the adjusted version of your .PAR file that I used: http://www.emarketingiseasy.com/TESTS/FOTD/MFR149F.PAR I also applied Damiscena Korwin's Leather Gem color map. Her 1998 Fractal Art Contest entry Leather Gem is here: http://www.fractalartcontests.com/1998/entries/01-013.htm My anti-aliased 1200x900 pixel image is here: http://www.emarketingiseasy.com/TESTS/FOTD/MFR149G.jpg For the adventuresome who might be interested in the greater (unanti-aliased) detail in the image before it was downsampled, here's the 3MB 4096x3072 version: http://www.emarketingiseasy.com/TESTS/FOTD/MFR149F.gif Both Firefox & IE7 can show the large file OK on my WinXP system. Be sure to click the image once to see it at full size. (I like to use an image viewer that allows me to "drag" different areas of an oversize image onto the screen -- instead of having to find and "aim for" and exactly "hit" the scroll bars in my browser.) - Hal Lane ######################### # hallane(a)earthlink.net # #########################

2 1

FOTD 01-04-11 (Pentagon Parameters [7])
by Jim Muth 31 Mar '11

31 Mar '11

FOTD -- April 01, 2011 (Rating 7) Fractal visionaries and enthusiasts: The soon-to-appear FOTD web site is making great progress. With today's image, I will try to return to the usual every-day schedule of FOTD's. I make no promises however -- not in this world where the unexpected can always go wrong. Normally, not much can be done with quintic minibrots. They tend to all look the same. But when calculated with the FinDivBrot-2 formula, the quintics can really come to life. Today's scene shows one of these quintic minibrots doing a good deal more than would be expected from it. The parent fractal is a corrupt Mandelbrot set, well on the way to becoming an order-5 Mandeloid. Today's scene is located in a tiny spurious valley on the negative X-axis. The name "Pentagon Parameters" is little more than a play on words. The rating of a 7 might be a little excessive, but so what? Tomorrow, I might decide the image is worth only a 5. The image may be seen and appreciated by running the included parameter file. The running time of a mere 30 seconds will make the task a minor one. The image may be accessed without the need for calculation at the currently active web site at: <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> The original FOTD web site may still be accessed at: <http://www.Nahee.com/FOTD/> The address of my own web site will be announced in a matter of a day or two. Thursday proved to be very unpleasant here at Fractal Central. Heavy clouds filled the sky, while the temperature hovered around 39F +4C and a misty drizzle fell most all day. The forecast is for several inches of wet sloppy snow overnight and on Friday. The fractal cats were unconcerned with outside conditions, and spent the day wishing they could have the excite- ment the old fractal cats had when they spent their days back at Old FC, exploring the holly hollow at the bottom of the yard. (Actually, the two pairs of fractal cats never met.) The day of the humans on Thursday was once again busy, mostly with ironing out the pesky problems that keep arising on the new FOTD web site. The next FOTD will be posted in 24 hours, or maybe 48 hours if unexpected problems arise. Until next time, take care, and if two people dream they are observing the Statue of Liberty, is it the same statue image they are experiencing? Jim Muth jamth(a)mindspring.com START PARAMETER FILE======================================= PentagonParameters { ; time=0:00:30.26-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=FinDivBrot-2 function=recip maxiter=400 center-mag=-1.380477612401757/+0.0031445704992233/\ 5.8e+12/1/-4.25/0 params=5/500/0/0 float=y inside=0 logmap=82 periodicity=6 mathtolerance=0.05/1 colors=00089UAAUCCUEEUGGUIIULLUOOURRUUUUZYVcaPheKm\ iLrmOppRssUvvXzzzzzzzzzzzz00FztFupDqlCnh9kd6i_3jW5\ kT6kQ7iN8eJ9cGAaDB_ACYBIWBOUBUSB_QBeOUCHzzGuzFqzFn\ zEjmEfcDcUD_OCXHCTFBPDBMCAIAAF9EDGHCUKBcOAmR9zU8zc\ BzmDzmGz_IoaKpbNpcPpeRpfUphWqiYqk`qlbqmdqUOsA8uBBq\ CEnCHkDKgENdEQaFTZGWVGZSHaPHcMJgPLjSMnUOqXPtZKikGZ\ wJXuMWsPVqSUoVTmYSk`RicQgfOeiNclMaoL_rKYuJWxIUzHTt\ LSnOSiRScUSZXST_SObSIeSDhS7kS2nS5jU7fVAbXCZYEVZHR`\ JNaMJcOFdQCeNEcKGbII`FJ_CLZANX7PW5QV9RXDSZHT`LUbPV\ cTWeXXg`YidZjh_ll`npapsaqp`mm_jjZggYdzXazWZzVWzUSz\ TPzSMzRJzQGzmDzmAzm7zm7zm7zm7zm7zm7zm7zm7zm7zm8zm8\ zm8zm8zm8zm8zm8zm8zm8zm8zm8zm8zm8Gm8Gm8Gm8jmEimDhm\ DhmDgmDgmDfmDfmDemDemDdmCdmCcmC7zyuz5hzkgzjfzjezjd\ zjczjbzjgzmbzjZzhUzeQzcLz`HzZ5zI9zQDzXHzdLzkLzsOzr\ QzrSzrUzrWzrQznLzjGzfBzcmzynzvnztnzqnzoozmozjozhwz\ gtzfqzfozflzfFzADzBCzBBzC } 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

Multifractal MFR149
by Albrecht Niekamp 31 Mar '11

31 Mar '11

Hi, hope You´ll like this image. I do. Please advise, if You have any difficulties generating. Probably will not run under Windows. MFR149 {; Time 0.12.13 (XP Dos-shell) reset=2004 type=formula formulafile=mfrn.frm formulaname=multifractal_5 ismand=y function=cos/exp/exp/sin passes=t center-mag=-0.302531/-0.00478368/0.842554/1.0685/180 params=-0.1156346324045534/-0.5338602862636189/19287.3210001/53000.13140 \ 81613/2048.02048/384.0000135/768.00056/128.0076800000001/768.00768000000 \ 01/1024.00768 float=y maxiter=2048 inside=maxiter outside=tdis logmap=4 periodicity=0 rseed=-2436 colors=000<2>110110000KA4<7>gcOjgRmjT<3>zzc<9>UOFRKDOGA<3>A00<9>f0Ci0Dl0 \ F<3>z0K<6>Z0EV0DR0C<3>A08004000<26>000<4>000<9>X0a_0dc0h<3>p0w<4>_0dX0aU \ 0Y<2>K0NH0JG0NE1R<3>7UX6`Z4h_2oa0wc<11>2TG2RE3OC<3>4D3<17>kkammcpoe<3>zw \ m<6>cYO`UKYQG<3>KA0000<43>000<4>000330<12>110 } FRM:Multifractal_5 { ; Albrecht Niekamp 230603 ;only integers as first input, second input 5 digits to the right ;real(p2) 5digits: shape, outside, in1, in2, in3 ; 0_off 1_mand 2_jul/bees 3_many_mods 4_newtjul +5_reset digit1: +5_warp ; input2 : 2digits_many_mods 5digits_frm2 use : 0_no 1_yes ;imag(p2)(-) 2-4digits : quasinewton input (max 2000) ; 1digit : many_mods multipl. off 1_out 2_in1 3_in2 4_all ; 1digit : iter-reset 1_out 2_in1 3_in2 4_all ; input2 : 4digits(-)_frm1 2digits_frm2 4digits_bees ;real(p3) many_mods bailout, bailout ;imag(p3) shape : factor (fn1), outside : border-in ;real(p4) outside : factor (fn2), border-out ;imag(p4) inside1 : maxiter1, factor1 (fn2) ;real(p5) inside2 : maxiter2, factor2 (fn3) ;imag(p5) inside3 : maxiter3, factor3 (fn4) ; da=real(p2) dd=trunc(da) da=round((da-dd)*10000000)+11111 d=trunc(dd/10000) ex0=d>5 d=d-5*ex0 vb=(d==3)+(d==4) dd=dd-d*10000 d=trunc(dd/1000) ex1=d>0 dd=dd-d*1000 rs1=d>5 d=d-5*rs1 v1m=(d==3) v1j=(d==4) dd1=(d==2)+(d==4) d=trunc(dd/100) ex2=d>0 dd=dd-d*100 rs2=d>5 d=d-5*rs2 v2m=(d==3) v2j=(d==4) dd2=(d==2)+(d==4) d=trunc(dd/10) ex3=d>0 dd=dd-d*10 rs3=d>5 d=d-5*rs3 v3m=(d==3) v3j=(d==4) dd3=(d==2)+(d==4) ex4=dd>0 rs4=dd>5 dd=dd-rs4*5 v4m=(dd==3) v4j=(dd==4) dd4=(dd==2)+(dd==4) tt=ex0+ex1+ex2+ex3+ex4 ; mm=trunc(da/100000) da=da-mm*100000 d=trunc(da/10000) ab=(d==2) da=da-d*10000 d=trunc(da/1000) ab1=(d==2) da=da-d*1000 d=trunc(da/100) ab2=(d==2) da=da-d*100 d=trunc(da/10) ab3=(d==2) da=da-d*10 ab4=(da==2) ; d=imag(p2) t=d<0 if (t) d=-d endif dd=trunc(d) d=round((d-dd)*10000000000) pp=trunc(dd/100)/10 dd=dd-1000*pp da=trunc(dd/10) so1=((da==1)+(da==4)==0) so2=((da==2)+(da==4)==0) so3=((da==3)+(da==4)==0) dd=dd-10*da ir1=(dd==1)+(dd==4) ir2=(dd==2)+(dd==4) ir3=(dd==3)+(dd==4) ; p0=trunc(d/100000000)/10 d=d-p0*1000000000 p6=trunc(d/1000000)/10 d=d-p6*10000000 if (t) p6=-p6 endif p7=trunc(d/10000)/10 d=d-p7*100000 p8=trunc(d/100)/100 d=d-p8*10000 p9=d/100 ; d=real(p3) mb=trunc(d) ba=(d-mb)*100000 ; d=imag(p3) sfac=trunc(d) b1=(d-sfac)*100000 b0=b1/2 ; d=real(p4) ofac=trunc(d) b2=(d-ofac)*100000 ; d=imag(p4) mi1=trunc(d) fac1=(d-mi1)*100000 ; d=real(p5) mi2=trunc(d) fac2=(d-mi2)*100000 ; d=imag(p5) mi3=trunc(d) fac3=(d-mi3)*100000 ; bg=((ab+vb)==0) bg1=((ab1+v1j)==0) bg2=((ab2+v2j)==0) bg3=((ab3+v3j)==0) bg4=((ab4+v4j)==0) ; if (ismand) z=0 if (vb) c=0.4*log(sqr(pixel^mm)) else c=pixel endif else if (bg) c=p9 else c=p1 endif z=pixel endif t=0 d3=(ismand==0) u=d3 bo=z p=pp : If (tt) t=t+1 if ((ex0) && bo>b0) u=2*(fn1(t/sfac)) if (ismand) z=z*u if (vb) c=0.4*log(sqr(pixel^mm)) ba=mb else c=pixel endif else z=pixel if (bg) c=p9*u else c=p1*u p=pp+u endif endif ex0=0 tt=tt-1 elseif ((ex1) && bo>b1 && bo<b2) u=2*(fn2(t/ofac)) rs=rs1 ab=ab1 if (dd1) if (rs) z=pixel endif vb=v1j d3=1 if (bg1) c=p9*u else c=p1*u p=pp+u endif else d3=0 z=z*u c=z if (rs) z=0 endif vb=v1m if (vb) if (so1) mm=mm+mm endif c=0.4*log(sqr(pixel^mm)) ba=mb endif endif if (ir1) t=0 endif ex1=0 tt=tt-1 elseif ((ex2) && t>mi1) u=2*(fn2(t/fac1)) rs=rs2 ab=ab2 if (dd2) if (rs) z=pixel endif vb=v2j if (bg2) c=p9*u else c=p1*u p=pp+u endif d3=1 else d3=0 z=z*u c=z if (rs) z=0 endif vb=v2m if (vb) if (so2) mm=mm+mm endif c=0.4*log(sqr(pixel^mm)) ba=mb endif endif if (ir2) t=0 endif ex2=0 tt=tt-1 elseif ((ex3) && t>mi2) u=2*(fn3(t/fac2)) ab=ab3 rs=rs3 if (dd3) if (rs) z=pixel endif vb=v3j if (bg3) c=p9*u else c=p1*u p=pp+u endif d3=1 else d3=0 z=z*u c=z if (rs) z=0 endif vb=v3m if (vb) if (so3) mm=mm+mm endif c=0.4*log(sqr(pixel^mm)) ba=mb endif endif if (ir3) t=0 endif ex3=0 tt=tt-1 elseif ((ex4) && t>mi3) u=2*(fn4(t/fac3)) ab=ab4 rs=rs4 if (dd4) if (rs) z=pixel endif vb=v4j if (bg4) c=p9*u else c=p1*u p=pp+u endif d3=1 else d3=0 z=z*u c=z if (rs) z=0 endif vb=v4m if (vb) if (so2) mm=mm+mm endif c=0.4*log(sqr(pixel^mm)) ba=mb endif endif ex4=0 tt=tt-1 endif endif if (vb) if (d3) n=z^p-1 d=p*z*z z=z-n/d else z2=fn1(z)+c ;Linda Allison q=cos(z2) z=c*(1-q)/(1+q) endif elseif (ab) z=z*z+c+c*c-p7 ;Puskas Istvan elseif (d3) z1=fn1(z)-c ;Ray Girvan z2=z1^p8-1 z3=p8*(z1^(p8-1)) z=z-(z2/z3) else z2=z*z ;Puskas Istvan z=z2*z2+(p6+u)*z2+c-p0 endif bo=|z| bo<=ba } Sincerely, Albrecht

1 0

FOTD 31-03-11 (Little Lost Orphan [No Rating])
by Jim Muth 31 Mar '11

31 Mar '11

FOTD -- March 31, 2011 (No Rating) Fractal visionaries and enthusiasts: NOTICE! Do not try to recreate today's image from the included parameter file, which contains only the 3-D transform informa- tion. To view the image, you must go to the FOTD web site at: <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> where Hal has posted it. Today's image is named "Little Lost Orphan" because it has lost its parent fractal. It is an image from years ago, when I briefly experimented with making 3-D transforms of type=plasma images. Such transforms can make rather convincing landscapes, but for some reason I quickly grew bored with the icy images. A few rather impressive scenes showed up before I turned to the 4-D Julibrot stuff however. The type=plasma image to which the transform was originally applied was long ago discarded, but today's parameter file may be applied to any other type=plasma image (or any Fractint image at all) to create different landscapes, so feel free to create as many scenes as your adventurous heart desires. (The process is a bit convoluted, so I recommend reading the 3-D transform instructions.) I have no idea how today's image might compare with what might be possible using the 3-D transform feature on type=plasma images, so I could give the image no rating. The calculation time of 3-1/3 minutes is the time it took for the original transform to calculate on the old 80486-100mhz machine. On modern units, the image would finish in a matter of seconds. A bit of good news is that the start of my own FOTD web site has been uploaded and needs only a bit of link-tweaking before being made public. In view of all this excitement, do not forget the original web site at: <http://www.Nahee.com/FOTD/> Tuesday brought lots of sun and a temperature of 50F 10C to Fractal Central. Wednesday brought heavy clouds and similar temperatures. The fractal cats enjoyed the sun on Tuesday and complained about the lack of it on Wednesday. My day, as well as FL's day, was quite busy both Tuesday and Wednesday. Things that do not work right keep popping up on the web site. But the goal is in sight, so all that patience will soon be rewarded. The next FOTD will be posted in 48 hours or so. Until then, take care, and I have lots of answers but I've lost the questions. Jim Muth jamth(a)mindspring.com START PARAMETER FILE======================================= Little_Lost_Orphan { ; time= 0:03:20.36-SF5 on P4-2000 3d=yes scalexyz=125/100 roughness=125 waterline=45 filltype=6 lightsource=1/-1/1 smoothing=7 randomize=5 ambient=20 rotation=73/0/0 perspective=160 xyshift=0/0 colors=muz9IU9IU9IU9IU9IW9JW9JW9JW9JW9JW9JX9JX9KX9\ KX9KX9JX9JZ9JZ9JZ9JZ9LZ9LZ9L_9K_9K_9K_9K_9L_9La9La\ 9La9Ka9Ka9KaALcALcALcBLcBLcBLcDLcDLcDMcEMcEMcFMcFM\ cFMcFMcGMcGOcGOcHOcHOcHOcJOcJOcJOcJPcJPcKPcKPcKPcK\ PcKPcLPcLRcLRcLRcLRcMRcMRcMRcMRcMTcMTcOTcOTcOTcOTc\ OTcQTcQUcQUcQUcQUcRUcRUcRUcRUcRVcTVcTVcTVcTVcTVcUV\ cUXcUXcUXcUXcVXcVXcVXcVXcVYcXYcXYcXYcXYcXYcYYcYYcY\ _cY_cY_cY_c__c__c__c__c_ac`ac`ac`ac`ac`acbacbacbbc\ bbcbbcdbcdbcdbcdbcdbcedcedcedcedcedcfdcfdckgckgckg\ cmecmecm`ccjychyeeyjhyeeyjhyefyjiyegyegyclycbycglh\ glcglhglcglhglallfglaglfglaglfglaglfdledledledledl\ eblebleblebldbldbldbldbldbldaldaldacbacbacbacbacba\ lbalb_lb_l`_l`_l`_b`_l`_l`_l`_l`Yc_Yc_Yc_Yc_Yc_Yc_\ Yc_Yc_YcYYcYXcYXcYXcYXcYXcYXcYXcXXcXXcXVcXVcXVcXVc\ XVcXVcVVcVVcVVcVUcVUcVUcVUcVUcUUcUUcUUcUUcUTcUTcUT\ cUTcTTcTTcTTcTTcTTcTRcTRc } END PARAMETER FILE=========================================

1 0

FOTD 29-03-11 (FOTD Failure [*7])
by Jim Muth 29 Mar '11

29 Mar '11

FOTD -- March 29, 2011 (Rating *7) Fractal visionaries and enthusiasts: Today's image is a failure. Long ago in 1997 it failed to measure up to the then current FOTD standards, so I filed it away and forgot it. But now, 14 years later, I have re-visited the old stuff and decided it is worth a second chance. The image was created with the Mystic2 formula, a formula that produces only empty circles of radius 1. But the blank inside of these circles comes to life when rendered with an active inside fill, such as the 'bof60' I used in today's scene. The name "FOTD Failure" points out the failure of the image to make the grade on its first attempt. The rating of a 7 with an asterisk indicates that I now consider the old failure worth a 7. Actually, the image is rather incredible. It appears to have no organization or overall theme at all. A zoom into any part will reveal detail unlike that of any other part, making it one of the most varied images in FOTD history. The calculation time of 49 seconds is true on the 2000mhz unit. On the old 100mhz machine the image took almost 20 minutes to finish. Of course, all calculation problems may be avoided by viewing the finished product on the currently active FOTD web site at: <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> Paul's original FOTD web site may be accessed at: <http://www.Nahee.com/FOTD/> My own FOTD web site is very near readiness. Watch for the address to be posted in an upcoming FOTD. The weather on Sunday and Monday here at Fractal Central was sunny but chilly, with afternoon temperatures in the 30's F, around +2C. The fractal cats checked the outside a few times to be sure no unwanted stray cats were around, but spent most of the time taking it easy. The next FOTD will be posted whenever I get the chance -- probably on the 31st. Until then, take care, and I'm still waiting for the final theory of (almost) everything to be announced. Jim Muth jamth(a)mindspring.com START PARAMETER FILE======================================= FOTD_Failure { ; time=0:00:49.00-SF5 on P4-2000 reset=1950 type=formula formulafile=jim.frm formulaname=Mystic2 function=cos passes=1 center-mag=-0.7639004447870409/-0.641592723009405/\ 305.51/1/50/0 params=1/1/1/1/1/1 float=y maxiter=90 inside=bof60 logmap=yes periodicity=0 colors=000MgFKdCI_9GX6EU3CR2AP1AM1AK1AI1AG1AE1AD1A\ C1AB1AB1AB1AB1AB1AB1AB1AB1AB1AB1AC1AD1AE1BF3CH5EJ7\ GL8KMAMNCOODQQFSSHUVJXXK_ZMb_Oe`PhbRkcTneVpfWrhYti\ _ujavh`ue_q__lUZiPZkMUlPQnSLpUHpX2pYDqYOrYZsYcrYhp\ XflWeiVcfUbcT``S_YRYVQXSPVPOUMNSJLRGLPDKOCLNCMNCNN\ COMCPMCQMCRLCSLCTLCUKCVKCWKCXJBYJBZJB_IB`IBaIBbHBc\ HBdHBeGBfGBgGBhFBiF9lDBjFCiGEhHFgIHfKIeLKdMLcNMbOO\ aQP`RR_SSZTUXVVWWXVXYUYZTZ`S`aRacQbdPcfOegNfiMgjLh\ kKilJhmIgmHfnHeoGdoFcpFbqEaqD`rC_sCZsBYtAXuAWu9Vv8\ Uw6Wv8Uv9TvARvBQvCPvDNuEMuFLuGJuHIuJHuKFuLEtMDtNBt\ OAtP9tQ7tR6xR2tS5qT7nT9kUBhUDeVFbWI_WKXXMUXORYQOYS\ LZVI_XF_ZC``9`b6ad3af6be8beAceCceEddGddIedKedMfdOf\ cQgcSgcUgcWhcYhb_ibaibcjbejbgkaikaklamlaolalkajkah\ kafkadkaaka_kaYkaWjaUjaRjaPjaNjaLjaJjaHjaKh_MgYPfX\ ReVTcUWbSYaQ_`PbZNdYMfXKiWIkUHmTFpSErRCsS7tQBilAfl\ BckBakCZkCWjDUjERiEOiFOlI } frm:Mystic2 {; Jim Muth a=real(p1), b=imag(p1), c=real(p2), d=imag(p2), k=real(p3), f=imag(p3), g=pixel, z=(pixel)^a+(b*(pixel))^c: z=(fn1(z)+(d*(g)))^k+(f*(cos(g))) g=sqr(g), LastSqr <= 100 } END PARAMETER FILE=========================================

1 0

FOTD 27-03-11 (Golden Oldies [*6])
by Jim Muth 27 Mar '11

27 Mar '11

FOTD -- March 27, 2011 (*6) Fractal visionaries and enthusiasts: I realize that three days have passed since the I posted the last FOTD, but we have been quite busy on regular work and the upcoming FOTD web site here at FC these past few days. Today's image is a blast from the past, from around the time of the start of the FOTD in fact, though it never quite made FOTD status. The image is one of those indescribable things created by the MandNewt formulas -- formula number 12 to be exact. It is typical of the easy (by today's standards) stuff I was doing at that time, when my machine was a 100mhz 80486. The name "Golden Oldies" looks back with nostalgia on those days of yore. But since the image is not a new one, I had to add an asterisk to its rating of a 6. The calculation time of 1-1/2 minutes on the 2000mhz unit would have been closer to 1/2 hour on the original machine. The easiest way to view the finished image is to hop down to the current FOTD web site at: <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> and view it, finished, there. The old original FOTD site is available at: <http://www.Nahee.com/FOTD/> My own web site is nearing readiness, but not quite ready. I'll post the address as soon as I feel it is ready. Saturday was sunny but unusually cold here at Fractal Central. The temperature rose from 19F -7C at daybreak to an afternoon high of a meager 37F +3C. The fractal cats chose the sun. The next FOTD will be posted as soon as I get a chance. Until then, take care, and did anyone lose their mind? I saw one lurking under the porch stairs this morning. Jim Muth jamth(a)mindspring.com START PARAMETER FILE======================================= Golden_Oldies { ; time=0:01:32.06-SF5 on P4-2000 reset=1950 type=formula formulafile=basic.frm formulaname=MandNewt12 float=y maxiter=430 passes=1 center-mag=3.44291/0/0.216444/1/90/0 params=3/2/5/0.5/-0.5/-1 bailout=100 inside=bof60 logmap=8 periodicity=0 colors=000jjj```kkklllmmmnnnoooqqqtttwwwzzzrrrmmmh\ hhcccZZZVWTTURQROOPMMNKKLIHJGFHEDECBCA8A8686464242\ 663984DA4GC5KE6NG6QH7UJ8XL8`N9cPAgRAjTBmUBlVCkWDjW\ DiXEhXEgYFfYFeZGdZGc_Hb_Ha`I``I_aJZaJYbKXbKWcLVcLU\ dMTdMYaLbZLgWLlTKqQKvNKzLKwKMtKOrKPoKRlJSjJUgJWdJX\ bIZ_I_YIaVIcSIdQHfNHgKHiIHkFGlCGnAGo7Gq5Gr6Jq6Mp6P\ o6Sn6Vm6Yl6`k6cj6fi6ih6lg6of6qeGn_QkU_hOieJecLbaN_\ _OWYQTWRQUTMSVJQWGOYCMZ9K`6Ia7Kb7Lb7Mc7Nc7Pc7Qd7Rd\ 7Se7Ue7Ve7Wf7Xf7Yg7_g7`g8ah8bh8dh8ei8fi8gj8hj8jj8k\ k8lk8ml8ol8pl8qm8rm8smAjkCbjDUhFMgHDeI5dM4bQ4`T3ZX\ 3X`3Vc2Tg2Rj2Qi4Sh6Tg8UfAWeBXdDYcFZbH`aIa`Kb_MdZOe\ YPfXRgWTiVVjUWkTYmS_nRaoQbpPdrOfsNhtNiuMhtLgsLfrKe\ qJdpJcoIbnHamH`lG_kFZjFYiEXhDWgDVgCUfBTeBSdARc9Qb9\ Pa8O`7N_7MZ6LY5KX5JW4IV3HU3HU5GV7FV9FWBEWDEWFDXHDX\ JCXKCYMBYOBYQAZSAZU9ZW9_Y8_Z8_aC`dG`gKajOalRboVbrZ\ cubcwecvfbvgbvhaviavj`vk` } frm:MandNewt12 {; Jim Muth z=g=pixel, a=real(p1), b=imag(p1), c=real(p2), d=imag(p2), e=real(p3), f=imag(p3): h=z^a+(g-1)*(z-b) j=c*z^d+g z=z-e*h/(f*j), .0000000000000000000000000000005 <= |h| } END PARAMETER FILE=========================================

1 0

FOTD 24-03-11 (Where in the World [No Rating])
by Jim Muth 24 Mar '11

24 Mar '11

FOTD -- March 24, 2011 (No Rating) Fractal visionaries and enthusiasts: Do not be alarmed when you run today's parameter file and the screen stays blank for a couple minutes. Due to the passes=t and the lack of detail at the edge of the frame, the image is a slow one to get started, but things pick up once the calcula- tion reaches the actual central crescent. Today's FOTD is an image of the entire Mandelbrot set. Well, the entire set is in there somewhere, but it has been so distorted by the 'invert' feature of Fractint that it has been reduced to a horse shoe crescent. The center of the scene lies somewhere in the Seahorse Valley area of the large minibrot on the main stem of the M-set, though one would never guess it from what appears on the screen. The name "Where in the World" refers to the difficulty of deter- mining exactly where in the M-set today's scene is located. Since I believe this is the first time I have used Fractint's 'invert' feature in an FOTD, I have almost no idea of what is possible with this option, so I could give today's image no rating. The rather slow calculation time of 11 minutes is mostly due to the very large maxiter of 2,500,000. This slowness may be avoided however by viewing the finished image on the FOTD web site at: <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> The old original FOTD web site may be accessed at: <http://www.Nahee.com/FOTD/> Wednesday began with slushy snow here at Fractal Central. By midday the snow changed to rain, which made the slush even slushier. To end the day with a grand finale, a thunder-shower passed over at 6pm. The temperature held steady around 34F +1C most of the day. The fractal cats took a few glances at the unpleasant outside conditions, but spent most of the time close to the heat. In the human department, our day was busy, yet under control. I'll try to post the next FOTD in 48 hours, but since the future is unpredictable, there are no promises. Until whenever, take care, and take a moment to wonder why there is a vast universe instead of simply nothing. Jim Muth jamth(a)mindspring.com START PARAMETER FILE======================================= Where_in_the_World { ; time=0:11:03.50-SF5 on P4-2000 reset=2004 type=mandel passes=t float=y center-mag=-16.8104/0.928124/0.06579086/1/87.5/0 params=0/0 maxiter=2500000 inside=0 outside=real invert=0.0001/-1.7685/0.0008 periodicity=0 colors=000VITUKUSNVRPWPSXOUYNXZLZ`KaaIcbHfcFhdEkeD\ mfFndHncInaKn`Mn_NnYPnXRnWSnUUnTWnRXnQZnP`nNanMcnL\ enJfnIhnGjnFknEmnConBpnAheH`YOTPULH`D8g50m82fA3`C5\ VE6PG9OHBNIDMKGLLIKMKJNNIPPHQRGRUFSWEUYDV`CWbBYdAZ\ g9_i8`k7bn6cp5dr4et4fr6gq8gpAhoChnEimGilIjkKjjMkhO\ kgQlfSleUmdWmcYnb_naao`co_enbameYlgTkjPjlLioHhrDgt\ 9fw5ey1hw8jvEluKntQprWrqatpgvomsmjqkhoifmgdkfbid`g\ bZe`WcZUaYS_WQYUOWSMURKWQJXPIYOIZOH_NHaMGbLFcLFdKE\ eJEgIDhICiHCjGBkGBmKAnO9pR8qV7sZ6ta5pb4mb4jb4gc4dc\ 4ac4Zd3Wd3Td3Qe3Ne3Ke3He3Kf7MgBOhFQiJTjNVkRXlVZmZa\ nbcofepjgqnfrlfsketjeuidvhdwgbkja_m`Op_Cr`Fs`Is`Ls\ `OtaRtaUtaXta_uabubeubhvbkvbnvbqvdntekrghqheojcnk`\ lmYjnVipSgqQfVyGXtHZpI_kJagKbbLdZMeVNgQOiMPjHQlDRm\ 8So4Tp0To4Tn7TmBTlETkITjLTiPTiSThVTgZTfaTeeTdhTclT\ boTbrTprJosKosLnsMnsMntNmtOmtOltPluQluQkuRkuShUeeN\ 9gWEhdJjmO6ayCdtIgoOjjUme } END PARAMETER FILE=========================================

1 0

FOTD 22-03-11 (Square Root of Nothing [6])
by Jim Muth 22 Mar '11

22 Mar '11

FOTD -- March 22, 2011 (Rating 6) Fractal visionaries and enthusiasts: Today's FOTD is late. This usually means things are unusually busy here at FC, as is true at the present time. The name of today's image, Square root of Nothing", refers to the power of Z that created the parent fractal. This parent fractal resembles a Mandelbrot set with a triangular main bud on the northwest side of the main bay and a zigzag filament extending out from the bud, and terminating some distance to the northwest. A cut-off nest of filament fragments lies some distance to the east of the main fractal. Today's scene is located in this cut-off nest of filaments. Due to a shortage of time, I was unable to find the best color- ing for the image, but the colors I did find are sufficient to show the nature of the scene and allow a rating of a 6. The calculation time of 3 minutes should cause no one undue dis- tress. To make matters even better, the pre-calculated image may be viewed at the FOTD web site at: <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> The original web site may be accessed at: <http://www.Nahee.com/FOTD/> Settled and near normal conditions prevailed here at FC on Sunday, with partly cloudy skies and a temperature of 50F 10C. Monday brought similar temperatures, but was spoiled by morning rain and afternoon clouds. The fractal cats took it all in stride. The next FOTD is scheduled in about 32 hours. Who knows if it will actually be ready in time? Jim Muth jamth(a)mindspring.com START PARAMETER FILE======================================= SquareRootOfNothin { ; time=0:03:05.16-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=MandelbrotBC3 function=ident center-mag=+1.294065337556993/+0.8218935124636804/\ 7.008061e+008/1/70/0 params=1.4142/0/2/0 float=y maxiter=2400 inside=0 logmap=198 periodicity=6 colors=000pcgmcckc_icWg`Se`Ob`K``KZ`KX`KV`JU_IT_HV\ _AS_FPZJMYNJXRHVVEUZBTb8Sf6Rj8Vk9YkA`kCckDgkEjkGmk\ HpkIskGrjEriDrhBrg9rf8re6rd5rd6df6Sg6Eh61iGFkPTmZf\ ogtqfomejideecaacXZbSVaOR`JN_EJ_AGd8Jh7Ml5Pp4St3Vp\ 2Mm1Dj04nADrKLvUTyc`v`XsYUpVRmSNjQKgNHdKDaHAaE7kC4\ nP6q`7tdGwhOzlXzpdzslzvrzzzuxzvwqwulusjsqiqoirmism\ hslhtlhtkgukgujgujgpgdleahbZd`W`YTXWQTTNPRKUXQZaVc\ f_hkempjruowztoqjhhaa_SVRJOI9H90BJ56T91aD8YIFUNLQS\ SMXZIadEeTlWVmVWmUXmTYmTZmS_mR`mQamQbmPcmOdmObjNag\ N_dNZaMXZMWWMUUMTRLROLQLLOIKNFKLCKKAKM9IO8HQ7FS7EU\ 6DW5BY4A_49Y9DXEHWJLVOPUTTTYXSb`RgdTfeVffXfgYfh_fi\ afjbfkdflffmgfnifokfplfp9OIDEAH43M62Q82UA2ZC2bE2fG\ 2gN6hUAi`EjfIkmMltQmzU2_GEUSQOc`IoaNkbRgcVdcZ`dbYe\ fUejQfnNgrJgvGjpKlkNofQqaTsXWmmUmmSmmQmmOmmMmmKmmI\ mmGgrEfrCerBgrGhrKirPjrTkrYmzanzfozjpzoqzsmzjmzamz\ RmzGmz5mzoszsyzwvzstzorzk } 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

FOTD 20-03-11 (It's All Circles [6])
by Jim Muth 20 Mar '11

20 Mar '11

FOTD -- March 20, 2011 (Rating 6) Fractal visionaries and enthusiasts: The scale of minibrots lying very deep in the Mandelbrot set is incredible enough, even awesome. At the scale of today's image the entire M-set would be as large as the entire galaxy, if not many times larger. It well might be as large as the entire visible universe, which is about 27,000,000,000 light years in circumference. It is large enough that the chance of today's scene having ever appeared on any screen is effectively zero. But with all this awesome size behind the image, why does it rate only a 6? The answer lies in the name of the image -- "It's All Circles". Just as the very high order Mandeloids tend to develop a boring similarity, these super-deep minibrots tend to grow boringly similar. As today's image shows, they tend to consist of layer upon layer of concentric circles, with minor changes in the circular decorations, but with an overall similarity that is striking at first glance but soon grows boring. (Not all mini- brots at this depth are boring circles however. There are exceptions, some of which I might post as future FOTD's.) Still, the fact that today's circular image lies at a depth of 2*(10^34) makes the effort of running the parameter file worthwhile. The image is located in the basin of a larger minibrot in the basin of a still larger minibrot in the basin of an even larger minibrot on a filament extending inland from the northeast shore line of the large minibrot on the main stem of the Mandelbrot set. The calculation time of 19-2/3 minutes is surprisingly fast for such a deep scene. And even this reasonable time may be saved by viewing the finished image on the FOTD web site at: <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> The original FOTD web site is still available at: <http://www.Nahee.com/FOTD/> Friday here at Fractal central was summer-like, with lots of sun and a temperature of 77F 25C. The new fractal cats, who have a much less adventurous life than the old fractal cats had, spent Friday watching for stray cats and worrying about their next meal. Saturday dawned cloudy, but the clouds cleared away by midday, leading to a pleasant afternoon with a high of 50F 10C. The next FOTD will be posted in 48 hours, more or less. Until whenever, take care, and be with it, fractal pro. Jim Muth jamth(a)mindspring.com START PARAMETER FILE======================================= It's_All_Circles { ; time=0:19:42.06-SF5 on P4-2000 reset=2004 type=mandel passes=1 center-mag=-1.740745628752070677391923435253000819\ 49/0.011627426705656461304987086921212283982/1.967\ 708e+034/1/170/0 params=0/0 float=y maxiter=15000 bailout=25 inside=0 periodicity=6 colors=000fTdiPflLinIlqEosBqoEmlGjhIfeLcaN_ZPXVRUS\ UQOWNLYJH`GEbCAd97f6FhBNiGVjKbkPjlTrmYznaxiaveauaa\ sYaqTapPanLalHakDalH`lK_mOZmRYnVXnYWoaVodUogTpiRpj\ QplOqmNqoLqpKrrIrsHrtGnpFjlEfiEbeDZaCVZCRVBNRAJOAF\ K9BG88D8AFCCGFEHIGILIJOJKRLLUNMXPO`RPcSQfURiWSlYTo\ _Ur`VucZrebpgfnijlknjcZWWKHO53N9DMDMMHOLLQLPWKTbKX\ iJ`hMamPcfUc`ZcVcbPhbJkbDjaCi`Bh_BgZAfYAeX9cW9aU8_\ S7UQ7QM6MI6KF5FA5A54000000O2ZqNopJkpFgpCcp8_p5WmCa\ jJfgQkdXpabuZcrWcpUcnRdkOdiMdgJdeGebEe`BeZ9eX8fU8f\ S8fP8fN7gL7gI7gG7gEGjCPlBYo9fq8ot6xv5wr6vo6uk6th6s\ d6ra6qZ6pV7oS7nO7mL7lH7kE7kB7nKFqTMtaUwj`zsgxtcwt_\ vtWutSttOrtKqtGptCzt8zt5zl2ze0zg3Zh5Wi8UkARlCOmFMo\ HJpKGqMErOReIcTDaRH_PLZNPXMTVKXUI`SHcRFgPDkNCoMAsK\ 8wJ7zM6wP6tS5qU5nX5k_4ha4fd4cg3`j3Yl3Vo2Sr2Pt2Np1Q\ l1Sh1Vd1Xa3Z_5_Y6`W8aTAcRBdPDeNFfLGgIIiGKjELkCNlAO\ m9Th8Yb7aY6fS5kM4pH3uB3y6 } END PARAMETER FILE=========================================

1 0

FOTD 20-03-11 (It's All Circles [6])
by Jim Muth 20 Mar '11

20 Mar '11

FOTD -- March 20, 2011 (Rating 6) Fractal visionaries and enthusiasts: The scale of minibrots lying very deep in the Mandelbrot set is incredible enough, even awesome. At the scale of today's image the entire M-set would be as large as the entire galaxy, if not many times larger. It well might be as large as the entire visible universe, which is about 27,000,000,000 light years in circumference. It is large enough that the chance of today's scene having ever appeared on any screen is effectively zero. But with all this awesome size behind the image, why does it rate only a 6? The answer lies in the name of the image -- "It's All Circles". Just as the very high order Mandeloids tend to develop a boring similarity, these super-deep minibrots tend to grow boringly similar. As today's image shows, they tend to consist of layer upon layer of concentric circles, with minor changes in the circular decorations, but with an overall similarity that is striking at first glance but soon grows boring. (Not all mini- brots at this depth are boring circles however. There are exceptions, some of which I might post as future FOTD's.) Still, the fact that today's circular image lies at a depth of 2*(10^34) makes the effort of running the parameter file worthwhile. The image is located in the basin of a larger minibrot in the basin of a still larger minibrot in the basin of an even larger minibrot on a filament extending inland from the northeast shore line of the large minibrot on the main stem of the Mandelbrot set. The calculation time of 19-2/3 minutes is surprisingly fast for such a deep scene. And even this reasonable time may be saved by viewing the finished image on the FOTD web site at: <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> The original FOTD web site is still available at: <http://www.Nahee.com/FOTD/> Friday here at Fractal central was summer-like, with lots of sun and a temperature of 77F 25C. The new fractal cats, who have a much less adventurous life than the old fractal cats had, spent Friday watching for stray cats and worrying about their next meal. Saturday dawned cloudy, but the clouds cleared away by midday, leading to a pleasant afternoon with a high of 50F 10C. The next FOTD will be posted in 48 hours, more or less. Until whenever, take care, and be with it, fractal pro. Jim Muth jamth(a)mindspring.com START PARAMETER FILE======================================= It's_All_Circles { ; time=0:19:42.06-SF5 on P4-2000 reset=2004 type=mandel passes=1 center-mag=-1.740745628752070677391923435253000819\ 49/0.011627426705656461304987086921212283982/1.967\ 708e+034/1/170/0 params=0/0 float=y maxiter=15000 bailout=25 inside=0 periodicity=6 colors=000fTdiPflLinIlqEosBqoEmlGjhIfeLcaN_ZPXVRUS\ UQOWNLYJH`GEbCAd97f6FhBNiGVjKbkPjlTrmYznaxiaveauaa\ sYaqTapPanLalHakDalH`lK_mOZmRYnVXnYWoaVodUogTpiRpj\ QplOqmNqoLqpKrrIrsHrtGnpFjlEfiEbeDZaCVZCRVBNRAJOAF\ K9BG88D8AFCCGFEHIGILIJOJKRLLUNMXPO`RPcSQfURiWSlYTo\ _Ur`VucZrebpgfnijlknjcZWWKHO53N9DMDMMHOLLQLPWKTbKX\ iJ`hMamPcfUc`ZcVcbPhbJkbDjaCi`Bh_BgZAfYAeX9cW9aU8_\ S7UQ7QM6MI6KF5FA5A54000000O2ZqNopJkpFgpCcp8_p5WmCa\ jJfgQkdXpabuZcrWcpUcnRdkOdiMdgJdeGebEe`BeZ9eX8fU8f\ S8fP8fN7gL7gI7gG7gEGjCPlBYo9fq8ot6xv5wr6vo6uk6th6s\ d6ra6qZ6pV7oS7nO7mL7lH7kE7kB7nKFqTMtaUwj`zsgxtcwt_\ vtWutSttOrtKqtGptCzt8zt5zl2ze0zg3Zh5Wi8UkARlCOmFMo\ HJpKGqMErOReIcTDaRH_PLZNPXMTVKXUI`SHcRFgPDkNCoMAsK\ 8wJ7zM6wP6tS5qU5nX5k_4ha4fd4cg3`j3Yl3Vo2Sr2Pt2Np1Q\ l1Sh1Vd1Xa3Z_5_Y6`W8aTAcRBdPDeNFfLGgIIiGKjELkCNlAO\ m9Th8Yb7aY6fS5kM4pH3uB3y6 } END PARAMETER FILE=========================================

1 0