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FOTX -- May 18, 2016
by Jim Muth 19 May '16

19 May '16

FOTX -- May 18, 2016 (Rating A-7,M-6) Fractal visionaries and enthusiasts: Today's formula, the MandelbrotMix3 is about eight years old and mixes four different powers of Z into one hopefully superb fractal. I rarely use it because it requires the critical points to be calculated by hand. In today's image we mix Z^(1.8), Z^(-0.8), (Z), and Z^(+0.8). This unlikely mixture creates a parent fractal that at first glance appears to have little promise. And to make matters worse, we check one of the least promising areas. But fractals hold no end of surprises and today's image shows what sometimes lurks in the depths of fractals that appear dead on the surface. No one was more surprised than myself when a universe filled with floating eggs appeared as I rotated the color palette. I immediately named the image "Quantum Egg World". I am currently quite interested in the debates going on in the field of quantum mechanics. Quantum stuff is also quite trendy among the general population. No one knows exactly what quantum theory is, but judging by how the word is so carelessly tossed about, the general feeling is that it must be something almost magical. I'll have much more to say about the quantum conclusions I have arrived at over the past 15 months or so. Like everyone else, I will have no proof for any of the sometimes outrageous things I might say, but then, I will merely be expressing my personal opinions, not trying to convert anyone to mysticism or fight the rise of irrationality. The only thing I am now absolutely certain of is that if someone wants to know more about quantum theory, they should check something like 'quantum decoherence' on the internet. They will come away knowing even less than before they checked. It was another overcast day here at Fractal Central. The high temperature of 64F 18C was well below the average high of 77F 25C. The fractal cats complained when I offered them a can of quantum cat food, which turned out to be both empty and filled at the same time. FL is getting impatient with the continued chilly, damp weather, which is slowing the growth of her flowers. The next FOTX will be posted in a few days. The FOTX artistic quality will be going up in a few days (I hope!). Until next time, take care and be happy with things the way they are. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Quantum_Egg_World { ; time=0:16:04.49 SF5 at 200MHZ reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotMix3 function=recip passes=1 center-mag=-0.34313191980537870/-0.226238684265287\ 00/2.485808e+008/1/-49.9999996942864371/-3.8593382\ 255258657e-007 params=0.4/1.8/2/-0.8/-1/1/2/0.8/\ 1.1003729163945/0 float=y maxiter=1800 inside=bof60 colors=000RnBMsDIwEQ2HP2IP2JP2JO2KO2KO2LO2LN2MN2MN\ 2NN2NM2Oorznqzmpzlozkmzjkziizhgwgetfdqecndbkcahb`e\ a_c`Za_X_ZWYYUWXSUVQSTOQRMOOKMLIK000000MJEMMCMPAMS\ 8MV7MW8MY9M_9NaANcANeBNfCNhCNjDNlDNnENoEPkHQgKScMT\ _PVWRWSUXPWWT`WWdW_iWbmWfrWivWlzSjykhxjcxiawh`vgZu\ fXteVsdTscRqaQo_PmYOkWNiULhSKfQJdOIbMH`LH_KGYLHXMI\ WNJVOKUPLTQMWRN_SObTPeUQhVRkWRfXNaYJXZFS_BOlSKsgGz\ wCzqBzlAzf9za8zX7zR6zM5zH4zB3z62z12X4D37O8DLDJJHPH\ MUFR_CVeA_k8cp6doBdoFdnJdnOemSemWel`eldfkhfkmfjqfj\ ucitaht_gsYfsWerUdrScrQbqOaqM`pK_pI_pXPejEVx4Lv9Ou\ DQtISsMVrRXqVZo_anccmhellhkqjjuldckzzjzzjzzkzzkzzk\ zzlzzlzzlzzlzzmzzmzzmzznzznzznzznzzRzzQzzQzzQzzQzz\ QzzQzzQzzQzzPzzPzzPzzPzzPzzPzzPxzPuzRzzSzzTzzUzzWz\ zXzzYzzZzz`zzazzbzzczzezzfzzgzzhzzMzz0zz4zz8zzBzzF\ zzJzzMzzQzzUzzXzz`zzdzzgzzkzznzzSzzVzzXzzZzzazzczz\ ezzhzzjzzlzz6zz6zz6zzAzzD } frm:MandelbrotMix3 {; Jim Muth z=p5, c=fn1(pixel), a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=real(p3), h=imag(p3), j=real(p4), k=imag(p4): z=(a*(z^b))+(d*(z^f))+(g*(z^h))+(j*(z^k))+c, |z| <= 100 } END PARAMETER FILE=========================================

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Re: [Fractint] Please do yourself a huge favor and take the free Win 10 upgrade.
by Timothy Wegner 18 May '16

18 May '16

This tidbit is horrifically off topic I know so forgive me, I don't want to hijack the wonderful resumption of fractal discussion that Jim Muth has triggered (thanks Jim) with a big Windows discussion. I know there are many strongly held opinions on this subject. Just to say that apparently when you upgrade to Windows 10, your old Windows 7 or 8.1 license still works. So I created a backup image of the pre-upgrade OS, and burned it back to a different SSD. I have a Kingwin replacement for my floppy drive that allows plugging in SSDs. So in an instant I can run either Windows 10 or Windows 8.1 depending on which SSD I plug in. I have kept both patched and up to date. I do this so, among other things, I can download data from my old Polar HRM that uses IrDA. IrDA support was removed without warning when Windows 10 was released. I can also use Media Center on the old version, which is protected from upgrade with Steve Gibson's Never10 utility. I have given up on Windows XP because that old machine sadly died, along with my Fractint development environment. I need to create a new Fractint development environment, maybe in a virtual Machine. I have another machine with Windows 7 because I use Media Center heavily. The point is you can have your cake and eat it too and keep your old OS when you upgrade. Good idea to have a backup anyway before upgrading. Tim (PS I see Mark has now weighed in. I don't want to prohibit Windows discussion since it has come up, but let's do let the OS discussion die down before too long, Tim says after having just continued it!)

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Windows 7 / 10
by David W Riccio 18 May '16

18 May '16

I have a number of machines running Dual Win10 and Win7 boot drives. If you have room in your case for multiple drives you can install both a Win 7 boot drive and a Win 10 boot drive in the same box and use the BIOS boot setting to select the drive the machine will boot to when you start your machine. And/or you can swap drives like Timothy is doing. On using XP ... It will install in Virtual Box on Win 7 and/or Win 10 and works fine in either environment. Also true for FreeDOS (and the FreeDOS - Fractint VM) I have also tested WinXP, Win7 and Win10 in VirtualBox on a MacPro Workstation and they all work fine. The Virtual Box Extensions allow XP to be very versatile in configuring your display settings so Fractint can use a big display context. On Never10 - I have tested it on a number of Win7 machines and it works great I am loving all the wonderful Fractal discussions and new fractals! (That said, I don't mind a bit of the off topic posts) -- -David www.lemoncreekdigital.com

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Re: [Fractint] Please do yourself a huge favor and take the free Win 10 upgrade.
by Harold Lane 18 May '16

18 May '16

> > I'm not as happy with the anti-aliasing I've been able to do with > > tools on this Win 8.1 computer compared to those on my Win XP machine. > Please do yourself a huge favor and take the free Win 10 upgrade. Good idea, David. I'm seriously considering doing that. I also want to avoid the rush in July. Since my Win 8.1 (8-core) machine has become both sluggish & erratic, I guess I should do a backup, format, and install a "completely fresh" version of the Win 10 op sys. I'm not looking forward to all the app re-installs and loss of app configuration. I had to do a Factory Restore recently & it was very disruptive & stressful. - Hal Lane ######################## # hallane(a)earthlink.net ######################## -----Original Message----- From: Fractint [mailto:fractint-bounces@mailman.xmission.com] On Behalf Of David Jones Sent: Wednesday, May 18, 2016 2:36 AM To: Fractint and General Fractals Discussion <fractint(a)mailman.xmission.com> Subject: Re: [Fractint] FOTX -- May 16, 2016 // GIF Animation! // Please do yourself a huge favor and take the free Win 10 upgrade. The deadline is approaching in July sometime. The 8.x set should never have been released. David W. Jones gnome(a)hawaii.rr.com authenticity, honesty, community http://dancingtreefrog.comOn May 17, 2016 15:59, Harold Lane <hallane(a)earthlink.net> wrote: > > I'm not as happy with the anti-aliasing I've been able to do with > tools on this Win 8.1 computer compared to those on my Win XP machine. > I'm still experimenting and I've improved it somewhat. > > Thanks for clicking the images to prevent resampling. > > Jim's FOTX: > http://www.emarketingiseasy.com/TESTS/FOTD/2016/F160516.jpg > > Jim's "...obvious minibrot at the top center edge of the frame." > "An order 7 minibrot with quadratic surroundings!?" > http://www.emarketingiseasy.com/TESTS/FOTD/2016/F160516A.jpg > > Hal's investigations: > "Reaching for Infinity": > http://www.emarketingiseasy.com/TESTS/FOTD/2016/F160516B.jpg > > Wow! In this zoom into "Reaching for Infinity," if you count the > number of fat blue arms that extend most of the way to the edge of the > image, and also include in your count the slightly shorter blue arms > midway between them, you get 8. > Now, count the number of yellow-green splats forming a slightly > smaller circle inside the blue arms, and you get 7. > Now, count the number of arms on the black minibrot/Mandeloid, and you > get 6 (called "order 7".) There's a symmetry factor for everyone in > this image!: > http://www.emarketingiseasy.com/TESTS/FOTD/2016/F160516C.jpg > > Jim says: "...raise the already huge imag(p1) parameter a few orders > of magnitude and watch the order 7 minibrot gradually morph into a > quadratic one." > > // GIF animation // of imag (p1) raised in 11 steps from: 2x10^(10) to > 2x10^(20) in steps of a factor of 10 greater each step in Jim's > "...obvious minibrot at the top center edge of the frame.": > Not anti-aliased. > http://www.emarketingiseasy.com/TESTS/FOTD/2016/F160516P.gif > > Out the negative X-axis, the largest bud with an "attracting cycle of > period 2" has islands: > http://www.emarketingiseasy.com/TESTS/FOTD/2016/F160516S.jpg > > And just to its left: > http://www.emarketingiseasy.com/TESTS/FOTD/2016/F160516T.jpg > > - Hal Lane > > ######################## > # hallane(a)earthlink.net > ######################## > > -----Original Message----- > From: Fractint [mailto:fractint-bounces@mailman.xmission.com] On > Behalf Of Jim Muth > Sent: Monday, May 16, 2016 7:45 PM > To: fractint <fractint(a)mailman.xmission.com> > Subject: [Fractint] FOTX -- May 16, 2016 > > > FOTD -- May 16, 2016 (Rating A-7,M-9) > > Fractal visionaries and enthusiasts: > > Today's image is strange. The strangeness does not appear on the > surface, which is a simple image of the large minibrot on the main > stem of the Mandelbrot set. But do not yet give up hope. To see > something strange indeed, check the obvious minibrot at the top center > edge of the frame, on the filament extending from the northern bud of the large minibrot. > > What is this we find?! An order 7 minibrot with quadratic surroundings!? > > Assuming that you have already seen the mysterious 'brot, how is it > possible? The minibrot is of order 7, nothing at all like the > quadratic minibrot from which its filament extends. In fact, > everything deeper in the same parent fractal is of order 7, while > everything closer to the surface has a quadratic nature. The formula does it all. > > As an extra surprise, raise the already huge imag(p1) parameter a few > orders of magnitude and watch the order 7 minibrot gradually morph > into a quadratic one. > > Another bonus with this formula, which is several years old, is that > it is possible to generate minibrots of fractional orders with none of > the discontinuities that spoil scenes and minibrots created the easy > Z^(2.5)+C way. > > The day here at Fractal Central began clear and frosty. It was > reported that this morning's low of 34 was the coldest it has ever > been in Central Pennsylvania this late in May. But once the sun got > to work later in the morning, the temperature reached a rather > pleasant 68F 20C. And yes, we do have kittens under the fractal back > porch. Their mother had them out exploring the fractal yard this afternoon. > > Well, I guess that's it for now. I'm sorry to hear that I should take > it easy on the divisive philosophy for fear of causing too much > off-topic debate. But as I see it, according to the scientists who > have spent their lives studying such things, the sub-atomic world and > fractals are actually the same things -- the mental images created in > people's minds by the underlying numbers, and it's hard to accept a > real objective world or a real fractal world made of building blocks > that are no more solid than mathematical abstractions. If I'm wrong > here, squelch the debate in the bud by showing where my thinking has gone astray. > > If I see things getting too contentious on the list, I might start my > own mailing list, where fractal philosophy will come first. I hope > not, since I'm working on a few very interesting new Fractint formulas. > > The next FOTX will be posted in a couple days. Until then, take care, > and why does merely discussing reality cause such intense feelings? > Maybe it's not fractally correct. > > > Jim Muth > jimmuth(a)earthlink.net > > > START PARAMETER FILE======================================= > > Strange_Mystery { ; time=0:00:33.40 SF5 at 200MHZ > reset=2004 type=formula formulafile=basicer.frm > formulaname=FinDivBrot-2 function=recip float=y > center-mag=-1.76264/0/34.7844 params=7/20000000\ > 000.0/0/0 maxiter=1500 inside=0 periodicity=6 > colors=000J36NUURtpVsqZrrbrsfqtjqtflrbgpZcoVZmRVlN\ > QjJMdGIbFG_DFWACQ89J56D236ke3WS2GE1rYPRHCGT`DOUAJO\ > 8EI59C246VUmPPdKKXFFPAAG558VmxOckIU_CKO6AC26F15C14\ > A137025012dzJWmFO`BGP78C3O60J40E309204105aQ4WM3RI2\ > LE2GB1A7053OkaCOJ8lGY2_T1UO1PJ1KE0F90A405atCJS6Im3\ > Fd2CX29P16G1380pNjQBNrzvjqmbheV_XNRPFIG798SQ4MK3GF\ > 2BA1550u9Ul7Pd6LX5HO3CG28814e41_30V30Q20L20F10A105\ > 00ZuoGInAfq5LRABG558rRxhMm_IcRDUI9K94AgOraLkXIdRFY\ > MCRG9KB6D536SaBMU8GM6BF4572PUH5A6TeTOZOJSJELE9E947\ > 4amMVdIPXEJPBCG7683rUZ_KNIABN8kJ6cF5WB4O72G3183aJ2\ > WG2RD1LA1G80A5052oF1Jt3Ca26J1b89W67Q56J44D23611eVW\ > VNOLFGA78RPSNLOJHKFEGBAC778334a11X00S00N00J00E0090\ > 0400K55H44E33B228225112007vX5gO3TG1E8oXRhSNbOKWKGQ\ > GDJCAD86643g12Z01Q01H00800WSoQNfLIYGEQA9H548g2v_1l\ > T1bM1TE0J709M59G36B24512RPgNLaKIXGFRDCMA9G66B335ZY\ > vQPgHHT88Ex0Mp0Jh0Ga0DU0B } > > 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========================================= > > > > _______________________________________________ > Fractint mailing list > Fractint(a)mailman.xmission.com > https://mailman.xmission.com/cgi-bin/mailman/listinfo/fractint > > > --- > This email has been checked for viruses by Avast antivirus software. > https://www.avast.com/antivirus > > > _______________________________________________ > Fractint mailing list > Fractint(a)mailman.xmission.com > https://mailman.xmission.com/cgi-bin/mailman/listinfo/fractint _______________________________________________ Fractint mailing list Fractint(a)mailman.xmission.com https://mailman.xmission.com/cgi-bin/mailman/listinfo/fractint --- This email has been checked for viruses by Avast antivirus software. https://www.avast.com/antivirus

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Re: [Fractint] FOTX -- May 16, 2016 // GIF Animation! //
by David Jones 18 May '16

18 May '16

Please do yourself a huge favor and take the free Win 10 upgrade. The deadline is approaching in July sometime. The 8.x set should never have been released. David W. Jones gnome(a)hawaii.rr.com authenticity, honesty, community http://dancingtreefrog.comOn May 17, 2016 15:59, Harold Lane <hallane(a)earthlink.net> wrote: > > I'm not as happy with the anti-aliasing I've been able to do with > tools on this Win 8.1 computer compared to those on my Win XP > machine. I'm still experimenting and I've improved it somewhat. > > Thanks for clicking the images to prevent resampling. > > Jim's FOTX: > http://www.emarketingiseasy.com/TESTS/FOTD/2016/F160516.jpg > > Jim's "...obvious minibrot at the top center edge of the frame." > "An order 7 minibrot with quadratic surroundings!?" > http://www.emarketingiseasy.com/TESTS/FOTD/2016/F160516A.jpg > > Hal's investigations: > "Reaching for Infinity": > http://www.emarketingiseasy.com/TESTS/FOTD/2016/F160516B.jpg > > Wow! In this zoom into "Reaching for Infinity," if you count the number of > fat blue arms that extend most of the way to the edge of the image, and also > include in your count the slightly shorter blue arms midway between them, > you get 8. > Now, count the number of yellow-green splats forming a slightly smaller > circle inside the blue arms, and you get 7. > Now, count the number of arms on the black minibrot/Mandeloid, and you get 6 > (called "order 7".) > There's a symmetry factor for everyone in this image!: > http://www.emarketingiseasy.com/TESTS/FOTD/2016/F160516C.jpg > > Jim says: "...raise the already huge imag(p1) parameter a few orders of > magnitude and watch the order 7 minibrot gradually morph into a quadratic > one." > > // GIF animation // of imag (p1) raised in 11 steps from: 2x10^(10) to > 2x10^(20) in steps of a factor of 10 greater each step in Jim's > "...obvious minibrot at the top center edge of the frame.": > Not anti-aliased. > http://www.emarketingiseasy.com/TESTS/FOTD/2016/F160516P.gif > > Out the negative X-axis, the largest bud with an "attracting cycle > of period 2" has islands: > http://www.emarketingiseasy.com/TESTS/FOTD/2016/F160516S.jpg > > And just to its left: > http://www.emarketingiseasy.com/TESTS/FOTD/2016/F160516T.jpg > > - Hal Lane > > ######################## > # hallane(a)earthlink.net > ######################## > > -----Original Message----- > From: Fractint [mailto:fractint-bounces@mailman.xmission.com] On Behalf Of > Jim Muth > Sent: Monday, May 16, 2016 7:45 PM > To: fractint <fractint(a)mailman.xmission.com> > Subject: [Fractint] FOTX -- May 16, 2016 > > > FOTD -- May 16, 2016 (Rating A-7,M-9) > > Fractal visionaries and enthusiasts: > > Today's image is strange. The strangeness does not appear on the surface, > which is a simple image of the large minibrot on the main stem of the > Mandelbrot set. But do not yet give up hope. To see something strange > indeed, check the obvious minibrot at the top center edge of the frame, on > the filament extending from the northern bud of the large minibrot. > > What is this we find?! An order 7 minibrot with quadratic surroundings!? > > Assuming that you have already seen the mysterious 'brot, how is it > possible? The minibrot is of order 7, nothing at all like the quadratic > minibrot from which its filament extends. In fact, everything deeper in the > same parent fractal is of order 7, while everything closer to the surface > has a quadratic nature. The formula does it all. > > As an extra surprise, raise the already huge imag(p1) parameter a few orders > of magnitude and watch the order 7 minibrot gradually morph into a quadratic > one. > > Another bonus with this formula, which is several years old, is that it is > possible to generate minibrots of fractional orders with none of the > discontinuities that spoil scenes and minibrots created the easy Z^(2.5)+C > way. > > The day here at Fractal Central began clear and frosty. It was reported > that this morning's low of 34 was the coldest it has ever been in Central > Pennsylvania this late in May. But once the sun got to work later in the > morning, the temperature reached a rather pleasant 68F 20C. And yes, we do > have kittens under the fractal back porch. Their mother had them out > exploring the fractal yard this afternoon. > > Well, I guess that's it for now. I'm sorry to hear that I should take it > easy on the divisive philosophy for fear of causing too much off-topic > debate. But as I see it, according to the scientists who have spent their > lives studying such things, the sub-atomic world and fractals are actually > the same things -- the mental images created in people's minds by the > underlying numbers, and it's hard to accept a real objective world or a real > fractal world made of building blocks that are no more solid than > mathematical abstractions. If I'm wrong here, squelch the debate in the bud > by showing where my thinking has gone astray. > > If I see things getting too contentious on the list, I might start my own > mailing list, where fractal philosophy will come first. I hope not, since > I'm working on a few very interesting new Fractint formulas. > > The next FOTX will be posted in a couple days. Until then, take care, and > why does merely discussing reality cause such intense feelings? Maybe it's > not fractally correct. > > > Jim Muth > jimmuth(a)earthlink.net > > > START PARAMETER FILE======================================= > > Strange_Mystery { ; time=0:00:33.40 SF5 at 200MHZ > reset=2004 type=formula formulafile=basicer.frm > formulaname=FinDivBrot-2 function=recip float=y > center-mag=-1.76264/0/34.7844 params=7/20000000\ > 000.0/0/0 maxiter=1500 inside=0 periodicity=6 > colors=000J36NUURtpVsqZrrbrsfqtjqtflrbgpZcoVZmRVlN\ > QjJMdGIbFG_DFWACQ89J56D236ke3WS2GE1rYPRHCGT`DOUAJO\ > 8EI59C246VUmPPdKKXFFPAAG558VmxOckIU_CKO6AC26F15C14\ > A137025012dzJWmFO`BGP78C3O60J40E309204105aQ4WM3RI2\ > LE2GB1A7053OkaCOJ8lGY2_T1UO1PJ1KE0F90A405atCJS6Im3\ > Fd2CX29P16G1380pNjQBNrzvjqmbheV_XNRPFIG798SQ4MK3GF\ > 2BA1550u9Ul7Pd6LX5HO3CG28814e41_30V30Q20L20F10A105\ > 00ZuoGInAfq5LRABG558rRxhMm_IcRDUI9K94AgOraLkXIdRFY\ > MCRG9KB6D536SaBMU8GM6BF4572PUH5A6TeTOZOJSJELE9E947\ > 4amMVdIPXEJPBCG7683rUZ_KNIABN8kJ6cF5WB4O72G3183aJ2\ > WG2RD1LA1G80A5052oF1Jt3Ca26J1b89W67Q56J44D23611eVW\ > VNOLFGA78RPSNLOJHKFEGBAC778334a11X00S00N00J00E0090\ > 0400K55H44E33B228225112007vX5gO3TG1E8oXRhSNbOKWKGQ\ > GDJCAD86643g12Z01Q01H00800WSoQNfLIYGEQA9H548g2v_1l\ > T1bM1TE0J709M59G36B24512RPgNLaKIXGFRDCMA9G66B335ZY\ > vQPgHHT88Ex0Mp0Jh0Ga0DU0B } > > 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========================================= > > > > _______________________________________________ > Fractint mailing list > Fractint(a)mailman.xmission.com > https://mailman.xmission.com/cgi-bin/mailman/listinfo/fractint > > > --- > This email has been checked for viruses by Avast antivirus software. > https://www.avast.com/antivirus > > > _______________________________________________ > Fractint mailing list > Fractint(a)mailman.xmission.com > https://mailman.xmission.com/cgi-bin/mailman/listinfo/fractint

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FOTX -- May 16, 2016
by Jim Muth 17 May '16

17 May '16

FOTD -- May 16, 2016 (Rating A-7,M-9) Fractal visionaries and enthusiasts: Today's image is strange. The strangeness does not appear on the surface, which is a simple image of the large minibrot on the main stem of the Mandelbrot set. But do not yet give up hope. To see something strange indeed, check the obvious minibrot at the top center edge of the frame, on the filament extending from the northern bud of the large minibrot. What is this we find?! An order 7 minibrot with quadratic surroundings!? Assuming that you have already seen the mysterious 'brot, how is it possible? The minibrot is of order 7, nothing at all like the quadratic minibrot from which its filament extends. In fact, everything deeper in the same parent fractal is of order 7, while everything closer to the surface has a quadratic nature. The formula does it all. As an extra surprise, raise the already huge imag(p1) parameter a few orders of magnitude and watch the order 7 minibrot gradually morph into a quadratic one. Another bonus with this formula, which is several years old, is that it is possible to generate minibrots of fractional orders with none of the discontinuities that spoil scenes and minibrots created the easy Z^(2.5)+C way. The day here at Fractal Central began clear and frosty. It was reported that this morning's low of 34 was the coldest it has ever been in Central Pennsylvania this late in May. But once the sun got to work later in the morning, the temperature reached a rather pleasant 68F 20C. And yes, we do have kittens under the fractal back porch. Their mother had them out exploring the fractal yard this afternoon. Well, I guess that's it for now. I'm sorry to hear that I should take it easy on the divisive philosophy for fear of causing too much off-topic debate. But as I see it, according to the scientists who have spent their lives studying such things, the sub-atomic world and fractals are actually the same things -- the mental images created in people's minds by the underlying numbers, and it's hard to accept a real objective world or a real fractal world made of building blocks that are no more solid than mathematical abstractions. If I'm wrong here, squelch the debate in the bud by showing where my thinking has gone astray. If I see things getting too contentious on the list, I might start my own mailing list, where fractal philosophy will come first. I hope not, since I'm working on a few very interesting new Fractint formulas. The next FOTX will be posted in a couple days. Until then, take care, and why does merely discussing reality cause such intense feelings? Maybe it's not fractally correct. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Strange_Mystery { ; time=0:00:33.40 SF5 at 200MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=FinDivBrot-2 function=recip float=y center-mag=-1.76264/0/34.7844 params=7/20000000\ 000.0/0/0 maxiter=1500 inside=0 periodicity=6 colors=000J36NUURtpVsqZrrbrsfqtjqtflrbgpZcoVZmRVlN\ QjJMdGIbFG_DFWACQ89J56D236ke3WS2GE1rYPRHCGT`DOUAJO\ 8EI59C246VUmPPdKKXFFPAAG558VmxOckIU_CKO6AC26F15C14\ A137025012dzJWmFO`BGP78C3O60J40E309204105aQ4WM3RI2\ LE2GB1A7053OkaCOJ8lGY2_T1UO1PJ1KE0F90A405atCJS6Im3\ Fd2CX29P16G1380pNjQBNrzvjqmbheV_XNRPFIG798SQ4MK3GF\ 2BA1550u9Ul7Pd6LX5HO3CG28814e41_30V30Q20L20F10A105\ 00ZuoGInAfq5LRABG558rRxhMm_IcRDUI9K94AgOraLkXIdRFY\ MCRG9KB6D536SaBMU8GM6BF4572PUH5A6TeTOZOJSJELE9E947\ 4amMVdIPXEJPBCG7683rUZ_KNIABN8kJ6cF5WB4O72G3183aJ2\ WG2RD1LA1G80A5052oF1Jt3Ca26J1b89W67Q56J44D23611eVW\ VNOLFGA78RPSNLOJHKFEGBAC778334a11X00S00N00J00E0090\ 0400K55H44E33B228225112007vX5gO3TG1E8oXRhSNbOKWKGQ\ GDJCAD86643g12Z01Q01H00800WSoQNfLIYGEQA9H548g2v_1l\ T1bM1TE0J709M59G36B24512RPgNLaKIXGFRDCMA9G66B335ZY\ vQPgHHT88Ex0Mp0Jh0Ga0DU0B } 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=========================================

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Re: [Fractint] FOTX -- May 16, 2016 // GIF Animation! //
by Harold Lane 17 May '16

17 May '16

I'm not as happy with the anti-aliasing I've been able to do with tools on this Win 8.1 computer compared to those on my Win XP machine. I'm still experimenting and I've improved it somewhat. Thanks for clicking the images to prevent resampling. Jim's FOTX: http://www.emarketingiseasy.com/TESTS/FOTD/2016/F160516.jpg Jim's "...obvious minibrot at the top center edge of the frame." "An order 7 minibrot with quadratic surroundings!?" http://www.emarketingiseasy.com/TESTS/FOTD/2016/F160516A.jpg Hal's investigations: "Reaching for Infinity": http://www.emarketingiseasy.com/TESTS/FOTD/2016/F160516B.jpg Wow! In this zoom into "Reaching for Infinity," if you count the number of fat blue arms that extend most of the way to the edge of the image, and also include in your count the slightly shorter blue arms midway between them, you get 8. Now, count the number of yellow-green splats forming a slightly smaller circle inside the blue arms, and you get 7. Now, count the number of arms on the black minibrot/Mandeloid, and you get 6 (called "order 7".) There's a symmetry factor for everyone in this image!: http://www.emarketingiseasy.com/TESTS/FOTD/2016/F160516C.jpg Jim says: "...raise the already huge imag(p1) parameter a few orders of magnitude and watch the order 7 minibrot gradually morph into a quadratic one." // GIF animation // of imag (p1) raised in 11 steps from: 2x10^(10) to 2x10^(20) in steps of a factor of 10 greater each step in Jim's "...obvious minibrot at the top center edge of the frame.": Not anti-aliased. http://www.emarketingiseasy.com/TESTS/FOTD/2016/F160516P.gif Out the negative X-axis, the largest bud with an "attracting cycle of period 2" has islands: http://www.emarketingiseasy.com/TESTS/FOTD/2016/F160516S.jpg And just to its left: http://www.emarketingiseasy.com/TESTS/FOTD/2016/F160516T.jpg - Hal Lane ######################## # hallane(a)earthlink.net ######################## -----Original Message----- From: Fractint [mailto:fractint-bounces@mailman.xmission.com] On Behalf Of Jim Muth Sent: Monday, May 16, 2016 7:45 PM To: fractint <fractint(a)mailman.xmission.com> Subject: [Fractint] FOTX -- May 16, 2016 FOTD -- May 16, 2016 (Rating A-7,M-9) Fractal visionaries and enthusiasts: Today's image is strange. The strangeness does not appear on the surface, which is a simple image of the large minibrot on the main stem of the Mandelbrot set. But do not yet give up hope. To see something strange indeed, check the obvious minibrot at the top center edge of the frame, on the filament extending from the northern bud of the large minibrot. What is this we find?! An order 7 minibrot with quadratic surroundings!? Assuming that you have already seen the mysterious 'brot, how is it possible? The minibrot is of order 7, nothing at all like the quadratic minibrot from which its filament extends. In fact, everything deeper in the same parent fractal is of order 7, while everything closer to the surface has a quadratic nature. The formula does it all. As an extra surprise, raise the already huge imag(p1) parameter a few orders of magnitude and watch the order 7 minibrot gradually morph into a quadratic one. Another bonus with this formula, which is several years old, is that it is possible to generate minibrots of fractional orders with none of the discontinuities that spoil scenes and minibrots created the easy Z^(2.5)+C way. The day here at Fractal Central began clear and frosty. It was reported that this morning's low of 34 was the coldest it has ever been in Central Pennsylvania this late in May. But once the sun got to work later in the morning, the temperature reached a rather pleasant 68F 20C. And yes, we do have kittens under the fractal back porch. Their mother had them out exploring the fractal yard this afternoon. Well, I guess that's it for now. I'm sorry to hear that I should take it easy on the divisive philosophy for fear of causing too much off-topic debate. But as I see it, according to the scientists who have spent their lives studying such things, the sub-atomic world and fractals are actually the same things -- the mental images created in people's minds by the underlying numbers, and it's hard to accept a real objective world or a real fractal world made of building blocks that are no more solid than mathematical abstractions. If I'm wrong here, squelch the debate in the bud by showing where my thinking has gone astray. If I see things getting too contentious on the list, I might start my own mailing list, where fractal philosophy will come first. I hope not, since I'm working on a few very interesting new Fractint formulas. The next FOTX will be posted in a couple days. Until then, take care, and why does merely discussing reality cause such intense feelings? Maybe it's not fractally correct. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Strange_Mystery { ; time=0:00:33.40 SF5 at 200MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=FinDivBrot-2 function=recip float=y center-mag=-1.76264/0/34.7844 params=7/20000000\ 000.0/0/0 maxiter=1500 inside=0 periodicity=6 colors=000J36NUURtpVsqZrrbrsfqtjqtflrbgpZcoVZmRVlN\ QjJMdGIbFG_DFWACQ89J56D236ke3WS2GE1rYPRHCGT`DOUAJO\ 8EI59C246VUmPPdKKXFFPAAG558VmxOckIU_CKO6AC26F15C14\ A137025012dzJWmFO`BGP78C3O60J40E309204105aQ4WM3RI2\ LE2GB1A7053OkaCOJ8lGY2_T1UO1PJ1KE0F90A405atCJS6Im3\ Fd2CX29P16G1380pNjQBNrzvjqmbheV_XNRPFIG798SQ4MK3GF\ 2BA1550u9Ul7Pd6LX5HO3CG28814e41_30V30Q20L20F10A105\ 00ZuoGInAfq5LRABG558rRxhMm_IcRDUI9K94AgOraLkXIdRFY\ MCRG9KB6D536SaBMU8GM6BF4572PUH5A6TeTOZOJSJELE9E947\ 4amMVdIPXEJPBCG7683rUZ_KNIABN8kJ6cF5WB4O72G3183aJ2\ WG2RD1LA1G80A5052oF1Jt3Ca26J1b89W67Q56J44D23611eVW\ VNOLFGA78RPSNLOJHKFEGBAC778334a11X00S00N00J00E0090\ 0400K55H44E33B228225112007vX5gO3TG1E8oXRhSNbOKWKGQ\ GDJCAD86643g12Z01Q01H00800WSoQNfLIYGEQA9H548g2v_1l\ T1bM1TE0J709M59G36B24512RPgNLaKIXGFRDCMA9G66B335ZY\ vQPgHHT88Ex0Mp0Jh0Ga0DU0B } 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========================================= _______________________________________________ Fractint mailing list Fractint(a)mailman.xmission.com https://mailman.xmission.com/cgi-bin/mailman/listinfo/fractint --- This email has been checked for viruses by Avast antivirus software. https://www.avast.com/antivirus

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Re: [Fractint] list your favorite fractal books. (REPLY)
by John Wilson 17 May '16

17 May '16

That "short intro" is just part of the title of a series of books published by Oxford University Press. It's not very short and appears to cover most of the basics contained in the books I once owned. It's written by a very high power mathematician—Professor of Pure Mathematics at the University of St Andrews. I'm not one of those! Then, too, the book is new to me, so I'm quickly lost. However, for CDN$6.34 it's a bargain, and I can keep it available for reference in my computer. Jovan Trujillo <jovan.trujillo3(a)gmail.com> to fractint Did you learn anything new from that short intro book?

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Re: [Fractint] list your favorite fractal books
by Jovan Trujillo 17 May '16

17 May '16

Did you learn anything new from that short intro book? Sent from my iPhone > On May 17, 2016, at 11:00 AM, fractint-request(a)mailman.xmission.com wrote: > > Send Fractint mailing list submissions to > fractint(a)mailman.xmission.com > > To subscribe or unsubscribe via the World Wide Web, visit > https://mailman.xmission.com/cgi-bin/mailman/listinfo/fractint > or, via email, send a message with subject or body 'help' to > fractint-request(a)mailman.xmission.com > > You can reach the person managing the list at > fractint-owner(a)mailman.xmission.com > > When replying, please edit your Subject line so it is more specific > than "Re: Contents of Fractint digest..." > > > Today's Topics: > > 1. FOTX -- May 16, 2016 (Jim Muth) > 2. List your favorite Fractal books (John Wilson) > > > ---------------------------------------------------------------------- > > Message: 1 > Date: Mon, 16 May 2016 19:44:54 -0400 (GMT-04:00) > From: Jim Muth <jimmuth(a)earthlink.net> > To: fractint <fractint(a)mailman.xmission.com> > Subject: [Fractint] FOTX -- May 16, 2016 > Message-ID: > <5051414.1463442295064.JavaMail.wam(a)elwamui-rustique.atl.sa.earthlink.net> > > Content-Type: text/plain; charset=UTF-8 > > > FOTD -- May 16, 2016 (Rating A-7,M-9) > > Fractal visionaries and enthusiasts: > > Today's image is strange. The strangeness does not appear on > the surface, which is a simple image of the large minibrot on > the main stem of the Mandelbrot set. But do not yet give up > hope. To see something strange indeed, check the obvious > minibrot at the top center edge of the frame, on the filament > extending from the northern bud of the large minibrot. > > What is this we find?! An order 7 minibrot with quadratic > surroundings!? > > Assuming that you have already seen the mysterious 'brot, how is > it possible? The minibrot is of order 7, nothing at all like > the quadratic minibrot from which its filament extends. In > fact, everything deeper in the same parent fractal is of order > 7, while everything closer to the surface has a quadratic > nature. The formula does it all. > > As an extra surprise, raise the already huge imag(p1) parameter > a few orders of magnitude and watch the order 7 minibrot > gradually morph into a quadratic one. > > Another bonus with this formula, which is several years old, is > that it is possible to generate minibrots of fractional orders > with none of the discontinuities that spoil scenes and minibrots > created the easy Z^(2.5)+C way. > > The day here at Fractal Central began clear and frosty. It was > reported that this morning's low of 34 was the coldest it has > ever been in Central Pennsylvania this late in May. But once > the sun got to work later in the morning, the temperature > reached a rather pleasant 68F 20C. And yes, we do have kittens > under the fractal back porch. Their mother had them out > exploring the fractal yard this afternoon. > > Well, I guess that's it for now. I'm sorry to hear that I > should take it easy on the divisive philosophy for fear of > causing too much off-topic debate. But as I see it, according > to the scientists who have spent their lives studying such > things, the sub-atomic world and fractals are actually the same > things -- the mental images created in people's minds by the > underlying numbers, and it's hard to accept a real objective > world or a real fractal world made of building blocks that are > no more solid than mathematical abstractions. If I'm wrong > here, squelch the debate in the bud by showing where my > thinking has gone astray. > > If I see things getting too contentious on the list, I might > start my own mailing list, where fractal philosophy will come > first. I hope not, since I'm working on a few very interesting > new Fractint formulas. > > The next FOTX will be posted in a couple days. Until then, take > care, and why does merely discussing reality cause such intense > feelings? Maybe it's not fractally correct. > > > Jim Muth > jimmuth(a)earthlink.net > > > START PARAMETER FILE======================================= > > Strange_Mystery { ; time=0:00:33.40 SF5 at 200MHZ > reset=2004 type=formula formulafile=basicer.frm > formulaname=FinDivBrot-2 function=recip float=y > center-mag=-1.76264/0/34.7844 params=7/20000000\ > 000.0/0/0 maxiter=1500 inside=0 periodicity=6 > colors=000J36NUURtpVsqZrrbrsfqtjqtflrbgpZcoVZmRVlN\ > QjJMdGIbFG_DFWACQ89J56D236ke3WS2GE1rYPRHCGT`DOUAJO\ > 8EI59C246VUmPPdKKXFFPAAG558VmxOckIU_CKO6AC26F15C14\ > A137025012dzJWmFO`BGP78C3O60J40E309204105aQ4WM3RI2\ > LE2GB1A7053OkaCOJ8lGY2_T1UO1PJ1KE0F90A405atCJS6Im3\ > Fd2CX29P16G1380pNjQBNrzvjqmbheV_XNRPFIG798SQ4MK3GF\ > 2BA1550u9Ul7Pd6LX5HO3CG28814e41_30V30Q20L20F10A105\ > 00ZuoGInAfq5LRABG558rRxhMm_IcRDUI9K94AgOraLkXIdRFY\ > MCRG9KB6D536SaBMU8GM6BF4572PUH5A6TeTOZOJSJELE9E947\ > 4amMVdIPXEJPBCG7683rUZ_KNIABN8kJ6cF5WB4O72G3183aJ2\ > WG2RD1LA1G80A5052oF1Jt3Ca26J1b89W67Q56J44D23611eVW\ > VNOLFGA78RPSNLOJHKFEGBAC778334a11X00S00N00J00E0090\ > 0400K55H44E33B228225112007vX5gO3TG1E8oXRhSNbOKWKGQ\ > GDJCAD86643g12Z01Q01H00800WSoQNfLIYGEQA9H548g2v_1l\ > T1bM1TE0J709M59G36B24512RPgNLaKIXGFRDCMA9G66B335ZY\ > vQPgHHT88Ex0Mp0Jh0Ga0DU0B } > > 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========================================= > > > > > > ------------------------------ > > Message: 2 > Date: Mon, 16 May 2016 22:25:43 -0700 > From: John Wilson <1stdiscus(a)gmail.com> > To: Fractint and General Fractals Discussion > <fractint(a)mailman.xmission.com> > Subject: [Fractint] List your favorite Fractal books > Message-ID: > <CANoY1O84SL+nb=fsA_A3LYxPQHZp+4CuuG4PRnmvudTd57Ln5A(a)mail.gmail.com> > Content-Type: text/plain; charset=UTF-8 > > I was not involved in the recent discussion regarding the listing of "your > favorite fractal books". Mainly because I gave away my library a few > years ago?through this forum. I only retained one book? "Fractal > Creations Second Edition" complete with a CD signed by Tim Wegner. Tim > generously supplied this CD to all members who requested a copy, back in > 2003. > > My library has just doubled. I have downloaded a Kindle title "Fractals. > A Very Short Introduction" > One of the Oxford University publications "----- a VSI books list", this > one by Kenneth Falconer. Looks O.K. > > John W. > > > ------------------------------ > > Subject: Digest Footer > > _______________________________________________ > Fractint mailing list > Fractint(a)mailman.xmission.com > https://mailman.xmission.com/cgi-bin/mailman/listinfo/fractint > > > ------------------------------ > > End of Fractint Digest, Vol 159, Issue 13 > *****************************************

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List your favorite Fractal books
by John Wilson 16 May '16

16 May '16

I was not involved in the recent discussion regarding the listing of "your favorite fractal books". Mainly because I gave away my library a few years ago—through this forum. I only retained one book— "Fractal Creations Second Edition" complete with a CD signed by Tim Wegner. Tim generously supplied this CD to all members who requested a copy, back in 2003. My library has just doubled. I have downloaded a Kindle title "Fractals. A Very Short Introduction" One of the Oxford University publications "----- a VSI books list", this one by Kenneth Falconer. Looks O.K. John W.

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