= on filaments, often filament tips or branching poi= nts. These are easily seen to have sequences of mini Mandelbrots that

shrink toward them. The centers of their cardioids a= ccumulate to them, and the Misiurewicz points lie in the closure of

the set of component centers. That takes care of all p= oints with rational external angle on the boundary of M.

3. He= re we assume that M is locally connected, a conjecture with strong eviden= ce for it, but to the best of my knowledge

not ye= t proven (or disproven). If this is true, all points with irrational exte= rnal angle are accumulation points of points with

= rational external angle, and lie in the closure of the closure of the se= t of component centers. But the closure of a closure

&nb= sp; is the original closure, which puts the whole of the boundary of M in= the component centers' closure.

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------=_NextPart_001_0004_01C103CF.82D38B60-- Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------------------------------------------------------- From: "Multiple Bogeys" Subject: Re: (fractint) Re: July's FOTD Date: 03 Jul 2001 14:55:36 -0400 ------=_NextPart_001_0005_01C103D0.3779E1E0 Content-Type: text/plain; charset="iso-8859-1" Content-Transfer-Encoding: quoted-printable > I meant a month without a *quadratic* midget. Someone here seems to be a prime candidate for public office... :-)

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------=_NextPart_001_0005_01C103D0.3779E1E0 Content-Type: text/html; charset="iso-8859-1" Content-Transfer-Encoding: quoted-printable

> I meant a= month without a *quadratic* midget.

Someone here seems to= be a prime candidate for public office... :-)

Get Your Private, Free E-mail from MSN Hotmail at <= a href=3D"http://www.hotmail.com">http://www.hotmail.com.

------=_NextPart_001_0005_01C103D0.3779E1E0-- Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------------------------------------------------------- From: "Multiple Bogeys" Subject: Re: (fractint) Re: July's FOTD Date: 03 Jul 2001 14:56:48 -0400 ------=_NextPart_001_0006_01C103D0.629FB840 Content-Type: text/plain; charset="iso-8859-1" Content-Transfer-Encoding: quoted-printable > Now there's a thought... quadratic midgets occur in all sorts of formul= as, > but has anyone ever seen, say, a cubic Mandelbrot in any formula other = than > z^3+C? Sure. I constructed a quartic years ago to exhibit one. And I did it deli= berately. And it worked. The only requirement is that the critical point = you use be a zero of the derivative with multiplicity two.

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------=_NextPart_001_0006_01C103D0.629FB840 Content-Type: text/html; charset="iso-8859-1" Content-Transfer-Encoding: quoted-printable

> Now there= 's a thought... quadratic midgets occur in all sorts of formulas,
>= but has anyone ever seen, say, a cubic Mandelbrot in any formula other t= han
> z^3+C?

Sure. I constructed a quartic years ago= to exhibit one. And I did it deliberately. And it worked. The only requi= rement is that the critical point you use be a zero of the derivativ= e with multiplicity two.

= Get Your Private, Free E-mail from MSN Hotmail at http://www.hotmail.com.

------=_NextPart_001_0006_01C103D0.629FB840-- Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------------------------------------------------------- From: Mark Christenson Subject: Re: (fractint) Re: July's FOTD Date: 03 Jul 2001 21:42:57 -0700 At 04:07 PM 7/3/01 -0000, Andrew wrote: >> >On June 15, 2001 Jim Muth wrote... >> > >> >"I have decided that the month of July will me a midgetless month." >> >>I meant a month without a *quadratic* midget. > >Now there's a thought... quadratic midgets occur in all sorts of formulas, >but has anyone ever seen, say, a cubic Mandelbrot in any formula other than >z^3+C? No cubics, but I have witnessed z^4 midgets in one of my gravibrots. Will advise which if you're interested. I could direct you to Bud's Fractal Pages, but they're temporarily offline... Aloha, Bud Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------------------------------------------------------- From: Jim Muth Subject: (fractint) C-FOTD 04-07-01 (Mand-Newt Eruption [8]) Date: 04 Jul 2001 10:04:54 -0400 (EDT) Classic FOTD -- July 04, 2001 (Rating 8) Fractal visionaries and enthusiasts: Today's FOTD image has no quadratic midget. In fact, it has no midget at all. It is simply a design created by number 13 in my series of 14 MandNewt formulae, which use variations of the famous Ikenaga function to create fractals. Formula numbers 13 and 14 are recent additions to the MandNewt series, which until now has consisted of only 12 formulae. Almost the entire image consists of bof60 inside fill. This fill changes an otherwise flat inside area into a series of overlapping bubbles, which can make interesting images. Today's scene is one of these images. It is a rather stately scene with its left-right symmetry. Some may see a series of hot-air balloons filling with a grainy green-and-pink gas; others may see a scene in some surrealistic outer space. I see a kind of eruption, and have therefore named the picture "Mand-Newt Eruption". I rather like the hazy effect created by the bright blue areas. In my opinion, this plus the overall appearance gives the image an exceptional rating of 8, which may be a bit liberal. The 4-minute render time of the parameter file at a resolution of 640x480 is bearable, but this is one of those images that looks best at the highest resolution possible. The download of the GIF image will soon be available on Paul's web site at: and on Scott's site at: The fractal weather today here at Fractal Central was uneventful, with partly cloudy skies and a temperature of 84F (29C). The cats must have approved, for they spent most of the afternoon lounging in the yard. Today however is Independence Day in the USA, and that means fireworks. The cats don't like noise, so I suppose they'll be skittish most of the day. As for myself, I'm simply going to do as little as possible. Until next time, take care, and fractals are fun; arguing politics is not. Jim Muth jamth@mindspring.com START 20.0 PAR-FORMULA FILE================================ Mand-Newt_Eruption { ; time=0:04:22.60--SF5 on a P200 reset=2001 type=formula formulafile=allinone.frm formulaname=MandNewt13 passes=1 center-mag=8.84911\ /-9.84213e-014/3.120633/1/-90 params=-4.159/-3.693\ /-4.144/-0.685/0.119/-0.783 float=y maxiter=90 inside=bof60 logmap=yes periodicity=0 colors=000I8\ UJAXKC_LEbMGeNIhOKkPMnQOqRPtQPwPOxONxNMyMLzLKyKJxJ\ IwIHuHGsGFqFEoEDmDCkCBiBAgA9e98c87a76_65Y07W06U05S\ 04Q03O02M01K00I00G00E0AC0KW3NX5PZ9R`CSaEWcGXeIZhL`\ jNclPemRgnShpWhuUjrUjpSlnSlmRllRmjPmhPmgNncNnaLp`L\ pZLpXKrWKrUIrSIsPGsNGuLEuKEuICvGCvE0w0CvCLuNUsWare\ jpnrnvymzzmzznzznzznzzpzzpzzpzyrz000<158>000 } frm:MandNewt13 {; 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-b)*z-f j=c*z^d+g z=z-e*h/j, 0.000000000000000000000000000001 <= |h| } END 20.0 PAR-FORMULA FILE================================== Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------------------------------------------------------- From: "Andrew Coppin" Subject: Re: (fractint) C-FOTD 04-07-01 (Mand-Newt Eruption [8]) Date: 05 Jul 2001 12:44:03 -0000 >From: Jim Muth Reply-To: fractint@lists.xmission.com To: >fractint@lists.xmission.com CC: philofractal@lists.fractalus.com Subject: >(fractint) C-FOTD 04-07-01 (Mand-Newt Eruption [8]) Date: Wed, 4 Jul 2001 >10:04:54 -0400 (EDT) > > >Classic FOTD -- July 04, 2001 (Rating 8) > >Fractal visionaries and enthusiasts: > >Today's FOTD image has no quadratic midget >I rather like the hazy effect created by the bright blue areas. In my >opinion, this plus the overall appearance gives the image an exceptional >rating of 8, which may be a bit liberal. That is indeed a very cool image! Thanks. Andrew. _________________________________________________________________________ Get Your Private, Free E-mail from MSN Hotmail at http://www.hotmail.com. Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------------------------------------------------------- From: Jim Muth Subject: (fractint) C-FOTD 05-07-01 (Platform in Space [7]) Date: 05 Jul 2001 10:30:32 -0400 (EDT) Classic FOTD -- July 05, 2001 (Rating 7) Fractal visionaries and enthusiasts: Since the FOTD is already late, and it is a slow one, I'll make the discussion short. To begin, in keeping with the theme of a midgetless July, the image has no midget. The iterated formula that drew the image is Z^1.03+C. I named the picture "Platform in Space" because that's what it reminds me of. I rated it at a 7 because I feel it's above average. It's an unusually slow image to render, taking over 2 hours of computer time on a tired old Pentium 200mhz machine. Therefore the best way to view it is to give Paul and Scott a chance to render it and then visit their Web sites at: and: The fractal weather on the Independence Day holiday featured fireworks from nature. A series of heavy thunder-showers in the evening put a damper on the man-made variety. The temperature of 86F (30C) did little to ease the fractal cats' skittishness. And it's now time for an active day doing other things. Until next time, take care, and hope for the best. Jim Muth jamth@mindspring.com START 20.0 PAR-FORMULA FILE================================ Platform_in_Space { ; time=2:01:41.52--SF5 on a P200 reset=2001 type=formula formulafile=allinone.frm formulaname=MandelbrotBC1 function=recip passes=1 center-mag=-8.54499/-3.05261/4.14962/1/-29.999 params=1.03/0/-7.53/800 float=y maxiter=12000 inside=0 logmap=57 symmetry=none periodicity=10 colors=000ZN`YMaXLbWKcVJdUIfTIgSHhRGiQFjPEkODlODmC\ 5PE7NF9MGBKIDJJEHKGGMIENKDOLCNNENOFNQGNRINSJNUKNVM\ NXNNYONZQM`RMaSMcUMdVMeWMgYMhZMj_MkaMlbLncLoeLqfLr\ gLsiLujLvkLxmLynLzoQujVpeZl`cgWheTgcSfbRfaRe_QdZPd\ YPcXOcVObUNaTMaRM`QL`PL_OKZMJZLJYKIZIJYJIYJIYJIYJI\ YJHYJHXJHXJHXKGXKGXKGXKGWKFWKFWKFWKFWLEWLEWLEVLEVL\ DVLDVLDVLDVMCUMCUMCUMCUMBUMBUMBTJCUMBVOBWRAXTAYW9Z\ Y9_`8`b8ad8`bB_aE_`HZ_JYYMYXPXWRWVUWUXVSZVRaUQdTPf\ TOiSMlRLnRKqQJtSHuQIvOJvMKvLKvJLwHMwGMwENwCOwAPx9P\ x7Qx5Rx2Sz4Rz6Rz8QzAQzCPzEPzGPzIOzKOzMNzONzQMzSMzU\ MzWLzYLz_KzaKzcKzZMzUOzPQzKSzFUzBVzBUzCTzDRzZKzZLz\ ZLz_Lz_Lz`Mz`Mz`MzaMzaNzaNzbNzbNzbNz`PzZRzXTzVVzTW\ zRYzP_zNazLbzJdzHfzFhzDizEgzFfzGezHdzIczJbzKazL_zM\ ZzNYzOXzPWzQVzRUzSSzTRzUQzVPzWOzXNzYMzdMzkMzrMzqLz\ pLzoLznKzmKzlKzkJzjJziJzhIzgIzfIzeHzdHzcHzbHzaGz`G\ zeTzdTzcSzbRzbQzaPz`Oz_Nz } frm:MandelbrotBC1 { ; by several Fractint users e=p1, a=imag(p2)+100 p=real(p2)+PI q=2*PI*fn1(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| Subject: Re: (fractint) C-FOTD 04-07-01 (Mand-Newt Eruption [8]) Date: 05 Jul 2001 20:03:01 -0400 ------=_NextPart_001_0001_01C1058D.7ED06A00 Content-Type: text/plain; charset="iso-8859-1" Content-Transfer-Encoding: quoted-printable > Today however is Independence Day in the USA, and that means > fireworks. If you like fJuly 4 fireworks, then there's a particularly apt choice of = sci-fi movie for the night ...

Get Your Private, Free = E-mail from MSN Hotmail at http://www.= hotmail.com.

------=_NextPart_001_0001_01C1058D.7ED06A00 Content-Type: text/html; charset="iso-8859-1" Content-Transfer-Encoding: quoted-printable

> Today how= ever is Independence Day in the USA, and that means
> fireworks.

If you like fJuly 4 fireworks, then there's a = particularly apt choice of sci-fi movie for the night ...

Get Your Private, Free E-mail from MSN H= otmail at http://www.hotmail.com.<= br>

Get Your Private, Free E-mail from MSN Hotmail= at http://www.hotmail.com.
------=_NextPart_001_0001_01C10E58.1C348740 Content-Type: text/html; charset="iso-8859-1" Content-Transfer-Encoding: quoted-printable

> I used Jo= hn Goering's formula to draw the image and do the
> rotating. = This formula can draw more orientations within the
> Julibrot than= any other I know of, though there are still some
> directions that= it cannot reach.

Here's some math that might be useful to devise = a formula to draw any 2D slice of a 4D fractal.

<= DIV>Any plane can be exactly specified by two non-collinear vectors. Two = 4-space vectors can be specified with 8 real values -- 7 if they are= normalized. Four of the formula parameters, say p1-p4, could be used to = give these vectors.

The cheap way to convert= the pixel coordinates into the plane of two vectors v1 and v2 is:

x*v1 + y*v2

Of course= , the resulting image is skewed, aspect mangled, or otherwise distor= ted if v1 and v2 aren't equal in magnitude and perpendicular. However, if= they are not collinear, we can preprocess v2 to be orthogonal to v1 by a= projection calculation:

v2 <- v2 - (v1*v= 2)(v1/|v1|)

where (v1*v2) is the dot product= of v1 and v2 and |v1| is the magnitude of v1, (the square root of v= 1*v1). (Observe that if v2 is already perpendicular to v1, the dot produc= t is zero and v2 is not changed. If v2 and v1 are collinear, the dot prod= uct is |v1||v2|, the term on the right ends up with the direction of v1 (= which is that of v2) and the magnitude of v2 and thus is v2, and v2 becom= es zero, so things go wrong.)

Making them eq= ual length is easy -- replace v1 by v1/|v1| and v2 by v2/|v2| so both hav= e length 1. A simple procedure is then:

v1 &= lt;- v1/|v1|

v2 <- v2 - (v1*v2)v1

v2 <- v2/|v= 2|

I leave the translation of this into a fr= actint formula using four complex variables to represent v1 and v2 as an = exercise for the reader.

At this point, you = get a rectilinear image -- no skew or aspect squashing unless the input c= oordinates (using the zoom box) are themselves subjected to such distorti= on. However, one can still rotate the image by playing with v1 and v2 as = well as by rotating the zoom box. These effects are additive.

Get Your Private, = Free E-mail from MSN Hotmail at http:/= /www.hotmail.com.

------=_NextPart_001_0001_01C10E58.1C348740-- Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------------------------------------------------------- From: "Multiple Bogeys" Subject: Re: (fractint) Another use for fractint Date: 17 Jul 2001 00:53:57 -0400 ------=_NextPart_001_0003_01C10E5A.F5BE00C0 Content-Type: text/plain; charset="iso-8859-1" Content-Transfer-Encoding: quoted-printable > Some time ago, I discovered another practical use for fractint. > I created a batch file f.bat which simply called fractint.The f.bat fil= e was > under the /bat directory, which I included in the path. > Then, when some program under DOS lets the screen in an abnormal state,= for > example with different colors or letter size, I simply type f and when > fractint appears I press Esc. This easily returns the screen to its nor= mal > state. Blind-typing "mode co80" at the prompt will accomplish the same thing :-) (If you want a single-letter command for it, you can put "mode co80" in a= n "f.bat". :-))

Get Your Private, Free E-mail from MSN= Hotmail at http://www.hotmail.com= .

------=_NextPart_001_0003_01C10E5A.F5BE00C0 Content-Type: text/html; charset="iso-8859-1" Content-Transfer-Encoding: quoted-printable

> Some time= ago, I discovered another practical use for fractint.
> I created = a batch file f.bat which simply called fractint.The f.bat file was
>= ; under the /bat directory, which I included in the path.
> Then, w= hen some program under DOS lets the screen in an abnormal state, for
&= gt; example with different colors or letter size, I simply type f and whe= n
> fractint appears I press Esc. This easily returns the screen to= its normal
> state.

Blind-typing "mode co80" at the= prompt will accomplish the same thing :-)

(If you want a sing= le-letter command for it, you can put "mode co80" in an "f.bat". :-))

Get Your Private, Free E-mai= l from MSN Hotmail at http://www.hotma= il.com.

Of course. I only remarked that the same file I = used to=20 call fractint solves this little problem.

----- Original Message -----
From:=20 Multiple=20 Bogeys

To: fractint@lists.xmission.com=20

Sent: Tuesday, July 17, 2001 = 1:53=20 AM

Subject: Re: (fractint) Another = use for=20 fractint

> Some time ago, I discovered another practical use for=20 fractint.
> I created a batch file f.bat which simply called=20 fractint.The f.bat file was
> under the /bat directory, which I = included=20 in the path.
> Then, when some program under DOS lets the screen = in an=20 abnormal state, for
> example with different colors or letter = size, I=20 simply type f and when
> fractint appears I press Esc. This = easily=20 returns the screen to its normal
> state.

Blind-typing "mode co80" at the prompt will accomplish the same = thing=20 :-)

(If you want a single-letter command for it, you can put "mode = co80" in=20 an "f.bat". :-))

Get Your Private, Free E-mail from MSN Hotmail at http://www.hotmail.com.

------=_NextPart_000_002E_01C10EFE.64ECB100-- Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------------------------------------------------------- From: Jim Muth Subject: (fractint) C-FOTD 19-07-01 (Midget by Starlight [4]) Date: 19 Jul 2001 10:31:45 -0400 (EDT) Classic FOTD -- July 19, 2001 (Rating 6) Fractal visionaries and enthusiasts: I named today's rusty-red-and-turquoise FOTD image "Midget by Starlight" because of the very prominent 8-pointed star surrounding the midget. Instead of a star I sometimes see two crossed concave squares with rounded corners surrounding the midget, but "Crossed Squares" just doesn't sound as classy as the actual name. The image has been rated a 6, though some of its worth is due to the presence of the star, which is a result of the coloring, and not something the numbers have done. Yes, I realize that it's a quadratic midget at the center of today's image, and that July is a month with no quadratic midgets, but due to a schedule change made necessary by a train derailment, hazmat spill and fire in a tunnel under the downtown area of the city, I was forced to use one of the images in my vast archives. And those archives are filled with mostly midgets. The formula that drew the image is a mess. For the benefit of the curious, it is: 0.00001(Z^(-1100))+10.1(1/Z)+(1/C), a whimsical expression that means nothing beyond the fractal it creates. The render time of almost 1/4-hour on a Pentium 200mhz machine makes a download of the GIF image the better way of viewing the stellar scene. In an hour or so, the download will be available on the Web at: and at: The fractal weather today was cloudy with occasional heavy showers and a temperature of 75F 24C. The cats found the temperature fair enough, though the rain kept them stranded indoors. As for me, I've still got some catching up to do. The best way to finish is to get busy, so that's what I'll be doing for a good part of the day. Until next time, take care, and keep your cool while having sympathy for a fire department that must fight an underground fire that it can't reach, which has half the city shut down and has been burning for 20 hours already. Jim Muth jamth@mindspring.com START 20.0 PAR-FORMULA FILE================================ MidgetBy_Starlight { ; time=0:14:26.94--SF5 on a P200 reset=2001 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=recip passes=1 center-mag=-315.0304695202377/+33.89218968206931/7\ 59.3559/1/7.499 params=0.00001/-1100/10.1/-1/0/800 float=y maxiter=3600 inside=0 logmap=127 periodicity=10 colors=000GB1GB1IC1KD1ME0OF1QG1SH1UI1WJ1YK1_O1aS1c\ W2eX2gX2gV2gU2gT2gR2gQ2gP2hN3hM3hL3hJ3hI3gH3eF3cE3\ aD3_B4YA4W94U74U64U54U34U24U14xtzvsytsyssxqsxprxnr\ wmrwkrviqvhqvfquequcpubpt`ptZpsYosWosVorTorSnrQnqO\ nqNnpLmpKmpImoHmoFloDlnClnAlm9km7km6kl4kl0lo2km3kl\ 5jk6jj7ii9igAhfCheDgdEgcGfaHf`Jf_KeZLeYNdWOdVQcURc\ TSbSUbQVaPXaOYaNZ`M``Ka_Jc_IdZHeZGgYEhYDjXCkXBmX9n\ Y7mX9lXAkWBjWDiWEhVFgVHgVIfUJeUKdUMcTNbTOaTQ`SR`SS\ _RTZRVYQUXOPWMKVKKUIKUGKTEKSCKRAKQAKPAKOAKEAKIAKLA\ KOAKRAKUDKXGK_JKZMMZOOZPMZPLZPJZQIZQGZQFZRDZRCZRAZ\ S9ZS7`R5_S6ZS6YS6XT7WU7VV7UW7TX8SY8SZ8RZ8Q_9P_AO`C\ N`EMaGLaIKbKKbMJcOIcQHcSGcUGcWIcYKc_McaOccQdeSegUf\ iWgkYhm_ioajqckselugmwimwkmzjmzimzhmzgmzfmzemzdmzc\ mzbmzamzamz`mz_mzZmzYmzXmzWmzVmzUmzTmzTmzSmzRmzQmz\ PmzOmzNmzMmzLmzKmzKmzJmzImzHmzGmzFmzEmzDmzCmzBmz6m\ zBmzFmzKmzEmzHmzLmzOmzRmz } 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 20.0 PAR-FORMULA FILE================================== Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------------------------------------------------------- From: JimMuth@aol.com Subject: (fractint) C-FOTD 20-07-01 (Negative is Positive [6]) Date: 20 Jul 2001 11:21:21 EDT Classic FOTD -- July 20, 2001 (Rating 6) Fractal visionaries and enthusiasts: It's another hectic day here at Fractal Central, so this will have to be a short one. The image was created by the formula -2.5(Z^(-0.4))-25(Z^(-4.4))+(1/C), obviously a whimsical expression. I named the image, which comes from the Fractal Central archives, "Negative is Positive". I gave the image this name because in it, two negative exponents have been added and produced something positive. Then I rated it a 6. The 20-minute render time of the parameter file makes the download more efficient. The download may be found on the Web at: and: The fractal weather today was partly cloudy with a temperature of 82F 28C. The cats must have approved, though I had little time to observe their approval. And now it's back to work. Until next FOTD, take care, and endure. Jim Muth jamth@mindspring.com START 20.0 PAR-FORMULA FILE================================ NegativeIsPositive { ; time=0:20:42.09--SF5 on a P200 reset=2001 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=recip passes=1 center-mag=-5.577462512835426/-2.6019781270348/430\ 8367/1/150 params=-2.5/-0.4/-25/-4.4/0/800 float=y maxiter=3000 inside=0 logmap=367 periodicity=10 colors=000mKzkIyjGwhEuiDsgCqfCodBncBlbBj`Ai_AgYAeX\ 9dW9bU9`T8_R8YQ8WP7VN7TM7RK6QJ6OG4LI6NJ7PK9QLASNCT\ ODVPFXQGYSI_TJ`ULbUKeVMcWObXQ`YR_ZTY_VX`XVaYUb_Sca\ RdcPedOffMghLhjJilJhkIhkHhkHhlGhmGgmFgnFgnEgoEgoDg\ pDfpCfqCfrBfsBftAftAet9es9er8eq8ep7eo7co8bn8am9`l9\ ZjAYiAXiBWhBUhCTgCSgDRfDPfEOeENeFMdFKdGJcGIcHHbHIa\ JI`KJ_LJZMKYNKXOKWPLVQLURMTSMRTMPUNNVNLWOJXOHYPFZP\ D_PB`Q9aQ7bR5cR3dR2eS5dT7dU9dVCdWEdXGdYJdZLd_Nd`Qd\ aSdbUccWcdZce`cfbcgechgciicjlcknclpclpclrcbhgTZjKR\ nJPmIOmINmHMlGLlGKlFJkEIkEHkDFjCEjCDjBCiABiAAi99h8\ 8h84k87h8Af8Cd8Fa8H_8KY8MW8PT8SR8UP8TM8VK8fI5pE8cG\ BPHEPIHNJKMKNMLPJMSHNVEOYAP`7Qc4Re1Sg2Uh2Vi2Wj2Xk2\ Yl2Zm2`n2ao2bp2cq2dr4es6gt8huAivCjwEkxGlvIktKkrMjp\ OjnQilSijUhhWhfYgd_gbaf`cfZeeXgeVidTkdRmcPocNqbLsb\ JuaHwa6xZFyaNzdVzgbzjjzldznZzpTzrNztIzxHzvHzuHztHz\ sHzqHzpHzonz_tzZrzapzcozf } 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 20.0 PAR-FORMULA FILE================================== Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------------------------------------------------------- From: Programmer Dude Subject: Re: (fractint) Re: [philofractal] C-FOTD 11-07-01 (Sea-What[4]) Date: 20 Jul 2001 11:18:50 -0500 "Morgan L. Owens" wrote: >>> Textures in 3-D software like POV-Ray are four-dimensional... >> >> In what sense? > > For each point (X,Y,Z) in space, the texture specifies a fourth number > which which (via the colourmap) gives the colour of that point. Ah, I see what you mean. In that sense, I'd think there was more than four dimensions, because there are other attributes (filtering, transparency, surface normal,...) that are also a part of each X,Y,Z point.... -- |_ CJSonnack _____________| How's my programming? | |_ http://www.Sonnack.com/ ___________________| Call: 1-800-DEV-NULL | |_____________________________________________|_______________________| Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------------------------------------------------------- From: "Morgan L. Owens" Subject: Re: (fractint) Re: [philofractal] C-FOTD 11-07-01 Date: 21 Jul 2001 15:27:32 +1200 At 04:18 21/07/2001, Programmer Dude wrote: >"Morgan L. Owens" wrote: > > >>> Textures in 3-D software like POV-Ray are four-dimensional... > >> > >> In what sense? > > > > For each point (X,Y,Z) in space, the texture specifies a fourth number > > which which (via the colourmap) gives the colour of that point. > >Ah, I see what you mean. > >In that sense, I'd think there was more than four dimensions, because >there are other attributes (filtering, transparency, surface normal,...) >that are also a part of each X,Y,Z point.... More or less; certainly a fully-implemented texture could have an (arbitrary?) number of layers, each with its own colourmap (which in the case of POV-Ray at least maps one quantity into RGBF space - itself four-dimensional!). I think what I really meant to refer to was a pigment like: pigment {granite turbulence 0.4 color_map {[0.000, 0.153 color rgbf <0.729, 0.502, 0.451, 0.000> color rgbf <0.769, 0.686, 0.592, 0.000>] [0.153, 0.398 color rgbf <0.769, 0.686, 0.592, 0.000> color rgbf <0.843, 0.753, 0.718, 0.000>] [0.398, 0.559 color rgbf <0.843, 0.753, 0.718, 0.000> color rgbf <0.780, 0.667, 0.561, 0.000>] [0.559, 0.729 color rgbf <0.780, 0.667, 0.561, 0.000> color rgbf <0.741, 0.659, 0.576, 0.000>] [0.729, 1.001 color rgbf <0.741, 0.659, 0.576, 0.000> color rgbf <0.729, 0.502, 0.451, 0.000>] } } /* T_Grnt0, by Mike Miller */ To be precise: the "granite turbulence 0.4" part, specifying a three-dimensional surface embedded in a four-dimensional space, just as a sphere is a two-dimensional surface embedded in 3-space. The rest is (as the name suggests) the colour map, specifying a (piecewise linear) curve embedded in another four-dimensional space. Morgan L. Owens "Oh, how Euclidean." Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------------------------------------------------------- From: JimMuth@aol.com Subject: (fractint) C-FOTD 21-07-01 (Iterative Serenade [5]) Date: 21 Jul 2001 11:12:00 EDT Classic FOTD -- July 21, 2001 (Rating 5) Fractal visionaries and enthusiasts: With a normal 20-minute trip across town now taking 2 or 3 hours, things are still somewhat hectic here in the Fractal Central part of the world. This leaves little time for fractal fun, but being one who enjoys fun, I somehow managed to find a fractal. Actually, I would not call the discovery 'finding' a fractal. Finding a fractal is like going to the beach and finding a grain of sand. I simply took one of the infinity of fractals that I knew were there. However, with the appearance of yet another July midget, it no longer makes much sense to claim that July will be a midgetless month. Searching for a reason, I can always unroll the old excuse that fate was against me. But the effort to have a month with no midget was not totally futile, for I did produce a few worthwhile fractals with no midgets at the center. Today, we declare the FOTD midgets to once again be legitimate. The formula behind today's image is 6Z^(-1.68)+3.6Z^(-3.11)+(1/C), a whimsical expression that I pecked out totally at random. I colored the scene with the option, and for no obvious reason named the result "Iterative Serenade". Actually, the name is probably the best part of the image, which on its own merit rates only a perfectly average 5. The 6-minute render time from the parameter file is a bit slow for such an average image. The download, which will soon be available at: and at: is far more efficient. The fractal weather today was perfect, with brilliant sun and a temperature of 82F 28C. The fractal cats were happy with the perfection, doing nothing all day but sleep. And I'll be happy when I get the rest of the graphic work wrapped up. But regardless of how other things go, I'll be back next time with another fractal and a few words. Until then, take care, and where did the philosophy go? Jim Muth jamth@mindspring.com START 20.0 PAR-FORMULA FILE================================ Iterative_Serenade { ; time=0:06:00.53--SF5 on a P200 reset=2001 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=recip passes=1 center-mag=+0.67175138564879/+6.985289718906726/2.\ 182875e+007/1/-139.999 params=6/-1.68/3.6/-3.11/0/0 float=y maxiter=1200 inside=0 outside=tdis periodicity=10 colors=000Y_9_Z7`Y6bW8cUAdSCeQEgOFhMHiKJjILkGMbLLV\ PLNTKFXK7`KA_PDZTGYXJXaLWeOViRUnUTrXSvZRzjUoZZqObr\ Cgt1ku4gu6du8auAZuCWuFTuHQuJNuLKuNHuLHrKHoJHlHHiGH\ gFHdEHaCHZBHWAHU8HR7HO6HL5HJAMOERTIVYM_bRcfVhkZlpb\ qufuyXkgNaQc00c00c00c00c00c00`K7jI8tH9tKAtNBtQCtTD\ tWEtZFtaGtdHtgItjJtlJpgHmbGiYEfTDbOB_JAXF9VHBTJCRI\ DQHEOHFMIGLIHJJIHJJGLKEMLCOMBPNERQGSTJTWLUZNeaQfdS\ ggUijXjmZkp`lsZkqYkoXkmWkkVkiUkgTkeRkcQkaPk_OkYNkW\ MkULkSOlTQmUSnUUoVWpWYqW_qXarYcsYetZgu_iv_kw`mw``O\ Vi`kjZgjWdkTakRYlOVlLSmJOmGLnDInBFmHKlMPkSUkXZjbci\ ghhmmhrqkohnl`qiTtfLkZMcRNVKNNCOF5OG9SGDWGH_GLcIOb\ JQaKT`LV_MXZN_YOaXPdXQfWRhVSkUTmTUpSVrRWtRamWgg`ma\ dsWiyQmvTltWkrZjpaimdhkfgiifgledodbrc`ubZwaYw_XwZW\ wYVwXUwVTwUSwTRwSQwRNj6Ll7Km8Jn9HoAGpBFqCErDCsEBtF\ AuG9vGCsFEqEGnEIlDKiCMgCPeBRbAT`AVY9XW8ZU8YXEX_JXb\ OWdTVgZVjcUmhUomXeoVaDW`B } 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 20.0 PAR-FORMULA FILE================================== Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------------------------------------------------------- From: "David Jones" Subject: Re: (fractint) Re: [philofractal] C-FOTD 11-07-01 (Sea-What[4] Date: 21 Jul 2001 09:16:11 -1000 Scientifically speaking, any measurable quantity about something is a dimension - so there are lots of multidimensional things around. Just not to be confused with spatial dimensions. David gnome@hawaii.rr.com On 20 Jul 01 at 11:18, Programmer Dude wrote: > "Morgan L. Owens" wrote: > > >>> Textures in 3-D software like POV-Ray are four-dimensional... > >> > >> In what sense? > > > > For each point (X,Y,Z) in space, the texture specifies a fourth number > > which which (via the colourmap) gives the colour of that point. > > Ah, I see what you mean. > > In that sense, I'd think there was more than four > dimensions, because there are other attributes > (filtering, transparency, surface normal,...) that are > also a part of each X,Y,Z point.... Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------------------------------------------------------- From: "Morgan L. Owens" Subject: Re: (fractint) Re: [philofractal] C-FOTD 11-07-01 Date: 22 Jul 2001 11:48:14 +1200 At 07:16 22/07/2001, David Jones wrote: >Scientifically speaking, any measurable quantity about >something is a dimension - so there are lots of >multidimensional things around. Just not to be confused >with spatial dimensions. Mathematically speaking there's no distinction. Morgan L. Owens "Who insisted on spatial dimensions anyway?" Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------------------------------------------------------- From: "Osher Doctorow" Subject: (fractint) Fractals and Cross-Term Dimensional Analysis Date: 21 Jul 2001 23:53:40 -0700 I have been proving several theorems on phil-logic@bucknell.edu, geometry-research@forum.swarthmore.edu, real-analysis, anzap-l (Australian-New Zealand Applied Probability), and elsewhere which appear to relate fractals to cross-term-dimensional analysis (which I also discovered recently). Ordinary dimensional analysis in (mathematical) physics and engineering (including chemical engineering) and even astrophysics and other fields is mostly concerned with factors inside a single term of a physical equation except to check that different terms reduce to the same dimensions. The products of integer exponents of the dimensions of the factors in a single term, including negative integers corresponding to division by integer powers form an abelian group under multiplication. For example, speed or velocity has dimensions L/T which is usually written LT^(-1) where ^ represents exponent here. L is the dimension of length, T is the dimension of time. Three other dimensions are in common use: M (mass), Q (charge, usually electric), THETA (temperature). If objects behave differently in different spatial directions, the dimension of length is often subdivided into three *independent* dimensions of Lx (backward-forward, say), Ly (left-right, say) and Lz (up-down, say). A typical problem that can be solved in hydrodynamics, for example, is to find how the variables are organized as factors in a single term (whether division or multiplication, and what exponents are involved), provided that one knows the relevant variables or has some theoretical (and hopefully experimental) basis for choosing the variables. Bluman and Kumei in their volume Symmetries and Differential Equations, Springer-Verlag: N.Y. 1989, and the papers on which it is based, revolutionized the study of ordinary and partial differential equations largely by using a generalization of the fact that dimensional analysis in such equations is a special case of Lie Groups. What, then, is Cross-Term Dimensional Analysis (CTDA for short), and why is it needed? Dimensional analysis provides no clue as to why terms in a physical equation have plus or minus (positive or negative) signs. Suppose, for example, that x, y, z, and w are nonnegative variables, and that some equation holds among them which in homogeneous form (all variables moved to the left side of the equation and the left side is set equal to 0) is: 1) w - y + x - z = 0 Where do the + and - signs come from? CTDA attempts to answer this question, and the somewhat remarkable answer appears to be that the signs of terms under the above types of conditions reflect whether a variable is a causing/influencing or a caused/influenced variable as well as (when combined with the enumeration of the number of variables involved) how many steps are involved in the causation or influence. What does all this have to do with fractals? It has to do with the fractals which are generated by iteration, e.g., by composition f(f(.... ). Notice here that the same function is composed with itself. Now look at this rather strange expression: p1(p1(x, y), p1(z, w)). This looks a lot like the above iterated function, especially if we keep iterating (e.g., x = p1(u, w), etc.). However, there is already something remarkable, just with this one expression. Here p1 is the proximity function p1(x, y) = 1 + y - x with y < = x and all variables x, y, z, w between 0 and 1. By evaluating the above expression, we find that: 2) p1(p1(x,y), p1(z,w)) = 1 + p1(z, w) - p1(x, y) = 1 + (1 +(w - z)) - (1 + (y - x)) = 1 + (w - z) - (y - x) This is beginning to look awfully like equation (1). In fact, if we set the left hand side of (2) equal to 1, then we get (1) above: 3) p1(p1(x,y),p1(z,w)) = 1 Moreover, if we go deeper and deeper inward in iteration of (2), we get successively an expression like (2) with 8 variables instead of just 4 (x, y, z, w being 4 variables), and so on (double each time), although there is a specific pattern of + and - differences which yields an algorithm for the n+1 st iteration in terms of the nth iteration. I do not know how many readers recall my original contributions to fractint, but I discussed here and elsewhere the fact that p1(x, y) = 1 + y - x for y < = x and both x, y between 0 and 1 has three simultaneous interpretations (although the objects referred to are not necessarily the same objects in the three interpretations): (1) it is the probable/statistical (Logic-Based Probability or LBP) influence of x on y (or the sets whose probabilities are represented by x and y), in that order, (2) it is the Lukaciewicz fuzzy multivalued logical implication x-->y (*x implies y*) = 1 + y - x (see P. Hajek, Metamathematics of Fuzzy Logics, Kluwer Academic: Dordrecht 1998 for excellent presentations of Lukaciewicz, Product-Goguen, and Godel fuzzy multivalued logics) when x and y are fuzzy multivalued logical propositions, (3) it corresponds geometrically to (one-sided) *nearness* of x to y when x and y are 1 dimensional coordinates, just as ordinary Euclidean distance-function or metric d(x, y) is the two-sided *farness* between x and y. Both have n-dimensional generalizations for n any positive integer. In fact, p1(x, y) is a one-sided partial inverse of d(x, y) which is maximum when d(x, y) is minimum subject to the constraints y < = x and x, y in [0, 1], and vice versa the former is minimum when the latter is maximum. For n dimensions, x and y become n-dimensional vectors and the expressions above are the same except that x and y are replaced in the equations by the average of their respective components, and yi < = xi for i = 1 to n, and all xi, yi components of x, y are between 0 and 1. Notice that we could generate iterated fractals as a special case of an iterated p1 function by setting one of the p1 arguments equal to 0 and possibly changing the range of the p1 function and the other constraint. However, the most interesting part is not this but the fact that fractals appear to be related to the basic causal or influence structure of the mathematical and physical universe through (1) mathematical logic, (2) probability/statistics, (3) geometry. Only by combining fractals or their p1 double-argument generalization and non-fractal or non-p1 expressions do we obtain a complete dimensional analysis of both factors and terms of all physical equations. Osher Doctorow Ph.D. Doctorow Consultants Formerly (and still intermittently in parts) California State Universities and Community Colleges Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------------------------------------------------------- From: Jim Muth Subject: (fractint) C-FOTD 22-07-01 (Silk and Satin [8+]) Date: 22 Jul 2001 09:55:22 -0400 (EDT) Classic FOTD -- July 22, 2001 (Rating 8+) Fractal visionaries and enthusiasts: Things are finally calming down here in the Fractal Central area, though one would never guess it from the unchanged behavior of the fractal cats, who rarely are anything but calm. The disruption has already done its damage however -- my goal of a month without a midget has failed. But now that we've abandoned the goal of a month with no quadratic midgets, the FOTD's are starting to improve. I couldn't decide whether to rate today's image an 8 or a 9, so I decided on an 8+. The expression 1.5(Z^(0.9))-1.35(1/Z)+(1/C) was iterated by the MandelbrotMix4 formula to produce the parent fractal, which appears as a very twisted Mandeloid, with a period-2 main bud so shrunken and misplaced that even identifying it is difficult. But there is no difficulty identifying the area that corresponds to East Valley in this fractal, and today's scene is located way down deep near the tip of a spiral that resembles but fails to actually duplicate an elephant trunk. I named the picture "Silk and Satin". The name was inspired by the satin-like effect, which is especially prominent in the amber areas. This satiny effect is far easier to achieve with several specially designed Fractint coloring options, but as is usually the case, I prefer to do it the hard way, with the good old classic equal-iteration bands. Rendering in 17 minutes, the image is a bit slow, but salvation is on the way in the form of the finished GIF image, which will soon be posted on the Web at: and at: The fractal weather today was perfect, one by-product being happy cats. The temperature of 86F 30C and sunny skies seemed just right for the hottest time of year. Now I see it's time to start thinking of the next FOTD, so until then, take care, and see you soon. Jim Muth jamth@mindspring.com START 20.0 PAR-FORMULA FILE================================ Silk_and_Satin { ; time=0:17:14.19--SF5 on a P200 reset=2001 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=recip passes=1 center-mag=-0.21103269278124330/+0.604572415492978\ 40/9.458008e+009/1/37.5 params=1.5/0.9/-1.35/-1/0/0 float=y maxiter=1800 inside=0 logmap=310 periodicity=10 colors=000NNBLNAKPAJR8IT8IV7GX6FZ6E`5Cb5Bd3Bf3KhBS\ jJ_lPgnWopcpriqnnlgsgVwcKz`NxZOuWQqVSnSSkQVgPWdNZ`\ K_ZJ`VGcSEgOCjLFnQIqVKu_NxdPzlNzkLwkKujJsjIpjGniFk\ iEiiCghBegAcf8ae7_d6Yc5Wb3UaAS`AQ_AOZAMYAKXAIWAGUG\ FTFESFDRFCQFBPFAOF9NFAOFBPEESEFUEIVEJYEK_EN`EOcEPd\ KNdQKdVId`FdgCdkAdq7dv5dw8gwCgwGjwKkwOlwSowVpwZqwb\ tweuwivwlxwpzwszstxotwkuugutcvq_vpVvoSwlOwkJxiFxgB\ xgFtcIp_KlWNiSPeQS`NUYJWUFZQB`N8dP7gS7jU6nW6pY5t_5\ vb3zd3ze3xc6u`7qZAnWBjUCgSFcPG_NIWKKSILPGNOLPOPSOS\ UNYWN`ZNd`LicLleLpgJlcGj`EgZBeW8cU6`S5ZP6VO7SN7PL8\ NK8KJAGIAEGBBFC7EC5CE2BE0AF08F07I0BK0EN0GO0JQ0NS0P\ U0SW1UZ1W`2_b3bd3Wc5Vb5Ve8UiCWlGWoKStYOxgKzlFzkBxe\ FpWIgLK_INSEQJ8SA5V11YLBbcLguVjqZlobokepiisgktgipg\ glggigeegdbibZi`Vi_SiZOiYKkVGnUCpS8sS5uQ2wS7zVBzYG\ z_Kz`PzcSzeYzg`zjezkizjiziizgizgizeizdizcizbiz`iz_\ izZizYizWizVizUizUizdEzgC } 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 20.0 PAR-FORMULA FILE================================== Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------------------------------------------------------- From: "Andrew Coppin" Subject: Re: (fractint) C-FOTD 20-07-01 (Negative is Positive [6]) Date: 23 Jul 2001 11:59:40 +0000 >From: JimMuth@aol.com >Reply-To: fractint@lists.xmission.com >To: fractint@lists.xmission.com >CC: philofractal@lists.fractalus.com >Subject: (fractint) C-FOTD 20-07-01 (Negative is Positive [6]) >Date: Fri, 20 Jul 2001 11:21:21 EDT > >Classic FOTD -- July 20, 2001 (Rating 6) > >Fractal visionaries and enthusiasts: Dam boy, that is HOT! It's worth more than 6, if only because of the very funky colour scheme! Thanks. Andrew. _________________________________________________________________ Get your FREE download of MSN Explorer at http://explorer.msn.com/intl.asp Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------------------------------------------------------- From: "Andrew Coppin" Subject: Re: (fractint) C-FOTD 22-07-01 (Silk and Satin [8+]) Date: 23 Jul 2001 12:06:31 +0000 >From: Jim Muth >Reply-To: fractint@lists.xmission.com >To: fractint@lists.xmission.com >CC: philofractal@lists.fractalus.com >Subject: (fractint) C-FOTD 22-07-01 (Silk and Satin [8+]) >Date: Sun, 22 Jul 2001 09:55:22 -0400 (EDT) > > >Classic FOTD -- July 22, 2001 (Rating 8+) > >Fractal visionaries and enthusiasts: > >I >couldn't decide whether to rate today's image an 8 or a 9, so I >decided on an 8+. Let me help you: That is a pure 9 image. It's lovely! Thanks. Andrew. _________________________________________________________________ Get your FREE download of MSN Explorer at http://explorer.msn.com/intl.asp Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------------------------------------------------------- From: Jim Muth Subject: Re: (fractint) C-FOTD 22-07-01 (Silk and Satin [8+]) Date: 23 Jul 2001 10:21:41 -0400 (EDT) At 12:06 PM 7/23/01 +0000, Andrew Coppin wrote: >Let me help you [rate the image]: That is a pure 9 image. >It's lovely! Andrew: Thanks for the praise. Only my humility keeps me from admitting that it's true. ;-) Jim M. Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------------------------------------------------------- From: Programmer Dude Subject: Re: (fractint) C-FOTD 21-07-01 (Iterative Serenade [5]) Date: 23 Jul 2001 10:05:38 -0500 JimMuth@aol.com wrote: > ...and where did the philosophy go? Same place the light goes when you turn off the switch?? -- |_ CJSonnack _____________| How's my programming? | |_ http://www.Sonnack.com/ ___________________| Call: 1-800-DEV-NULL | |_____________________________________________|_______________________| Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------------------------------------------------------- From: Jim Muth Subject: (fractint) C-FOTD 23-07-01 (Crystal Devils [7]) Date: 23 Jul 2001 10:14:56 -0400 (EDT) Classic FOTD -- July 23, 2001 (Rating 7) Fractal visionaries and enthusiasts: Just after 7am this morning, after 5 days of intense effort, our intrepid firemen extinguished the last burning car in the train tunnel that stretches under the center of town. Now it's a matter of inspecting for structural damage to the tunnel, and also the roads, buildings, storm drains, water mains, utility lines etc. above, and doing repairs. We are told that within a month or so, things will be back to normal, and the cross-town roads will once again be passable. Until then, to get from the east side to the west side, it will be necessary to go around, which is nearly impossible because everyone else wants to do it, and there are not enough roads. Considering conditions on the west side, some say this is a good thing. I am neutral. Fractals are far more fun. Today's FOTD image, which appears to have several layers but actually has only one, pictures another midget, this one lurking in the fractal created by the formula: -1*(Z^(1.1))+Z^(-0.7)+(1/C). This simple expression creates a fractal that consists of two Mandeloids, a large, relatively undistorted figure, with a smaller figure in its northwest suburbs. The smaller figure is quite distorted. For today's FOTD, we dive into an arm of a star of a bud on the southeast shore of the large figure. Well, we don't actually dive into the arm, we go directly to its tip. Of course, the point of the exact end of the arm exists in a fractal fuzziness, which, like quantum objects, cannot be given a precise location. One can come as close as they wish to the end of the arm, but more precision will always show that it is possible to come even closer. In today's image, I have colored the outside parts with the option, an option which, as today's effort shows, I use all too infrequently. The smaller features in the picture remind me of crystals; the large rusty-red background shapes remind me of devils. I therefore named the image "Crystal Devils". I rated it a 7 because I consider it above average. With a render time in the 5-minute range, running the parameter file is not too bad a choice, but in an hour or so the finished GIF image will be available on the Web at: and at: The download from there would be more efficient. The fractal weather today was typical summer, with sunny skies, a temperature of 86F 30C, and lazy cats. It's now time for me to do some un-lazy work, so until next time, take care, and fractals are just as good as we want them to be. Jim Muth jamth@mindspring.com START 20.0 PAR-FORMULA FILE================================ Crystal_Devils { ; time=0:05:38.12--SF5 on a P200 reset=2001 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=recip passes=1 center-mag=+0.026683029720186/-0.41544346140642/2.\ 748383e+008/1/-177.499 params=-1/1.1/1/-0.7/0/800 float=y maxiter=1200 inside=0 proximity=0.0645 outside=fmod symmetry=none periodicity=10 colors=000zhJzhEzh8zoGztLrzTkzZdzPXzIRzAVrNXkZ`dib\ XtfPzhIzdPzbVz`bzZhzXmzZkxZkrZimZihZib`hX`hR`hL`fG\ `fA`f6idNqbbx`rz`zP0PL0TJ8VGEZEL`ATd8Zf6fh1mk0rm0z\ q0zr0zv0zx0zz0zrCzmPzf`x`kqTxkNzdGzZAzd6zi3zo1zt0v\ x0rz0mz0iz0fz0bz0`z060I80LA0PC0RE0XE0`G0dG0hI0kI0q\ J0tJ0xL0zL1zN1zN1zP3zP3zP3zELz1bz0qv3rqGtkTvfdx`oz\ VzzPzzJzzEzvAdo6Gf10Z00`08b0Gd0Lf0Th0`i0fi0dm0dq1d\ r8bvGbxLbzRbzX`zd`zi`zo`ztdzofzihzdiz`kzVozPqzLrzG\ tzAvz6zz0zz0zz0zz0zz0zz0zz0xz0rz0oz6izEdzLZzTVx`Px\ hJvoEtvAtz3rz0qz0qz3izCdxJXiRRX`JJhE3o60v00o30h80`\ CCVGNNJZGNi8Rt1Tz8VzEVxIVtNVqRVmXXi`XffXbiXZoXVrXR\ qZVo`XobZmdbmfdkhfkihiikikmhmohoqfqtfrvdtxdtzftxht\ xhtxitxktxktvmtvmtvotvqtvqttrttttttttvttvttkxfbzRR\ zCIz0VzCfzP`zRXzRTzRPzTLzTIxTExTAxV6vV1vV0vX0tX0tX\ 0tX0q`0md0if0fi0bk0Zo0Vq0Rt0Nv0Js0Ip0Gm0Ej0Cg0Ad08\ a16`33Y61V80SA0P30M30Jf1G } 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 20.0 PAR-FORMULA FILE================================== Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------------------------------------------------------- From: Programmer Dude Subject: Re: (fractint) C-FOTD 22-07-01 (Silk and Satin [8+]) Date: 23 Jul 2001 12:34:32 -0500 Andrew Coppin wrote: > That is a pure 9 image. It's lovely! Hear! Hear! -- |_ CJSonnack _____________| How's my programming? | |_ http://www.Sonnack.com/ ___________________| Call: 1-800-DEV-NULL | |_____________________________________________|_______________________| Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------------------------------------------------------- From: bmc1@airmail.net Subject: Re: (fractint) C-FOTD 22-07-01 (Silk and Satin [8+]) Date: 23 Jul 2001 19:08:07 -0500 fortunately Jim's humility is exceeded only by his talent. ;-) Jim Muth wrote: > At 12:06 PM 7/23/01 +0000, Andrew Coppin wrote: > > >Let me help you [rate the image]: That is a pure 9 image. > >It's lovely! > > Andrew: > > Thanks for the praise. Only my humility keeps me from admitting > that it's true. ;-) > > Jim M. > > -------------------------------------------------------------- > Thanks for using Fractint, The Fractals and Fractint Discussion List > Post Message: fractint@lists.xmission.com > Get Commands: majordomo@lists.xmission.com "help" > Administrator: twegner@fractint.org > Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------------------------------------------------------- From: Jim Muth Subject: (fractint) C-FOTD 24-07-01 (Internet Spy program [6]) Date: 24 Jul 2001 00:25:18 -0400 (EDT) Classic FOTD -- July 24, 2001 (Rating 6) Fractal visionaries and enthusiasts: BUG ALERT!! Well, it's not actually a bug, but before getting into my regular discussion, I must point out that today's parameter file requires special attention before it will draw the correct image. To see today's image correctly, run the parameter file as it is, but when the image is finished, do one maximum in-zoom into the center. You will then be viewing the correct image. This extra step is necessary because the extreme magnitude of the full-sized image causes strange and unpredictable inaccuracies when the parameter file is directly written from it. The very simple formula -1*(Z^(1.1))+Z^(-0.7)+(1/C) drew the parent fractal, which consists of a large Mandeloid with a smaller satellite nearby. Today's scene lies way out at the tip of the negative tail of the large Mandeloid. Actually, it's not really a negative tail, but only the center filament attached to a period-2 bud. Though the magnitude of the image is extreme, the maxiter is a remarkably modest 256, making the logmap feature meaningless. The small maxiter also makes the parameter file a very fast one, which is a good thing, considering that two steps are necessary to draw the correct image. The name "Internet Spy Program" came about when I noticed the many eye-like features surrounding the midget. I had just deleted 4 e-mails that wanted me to buy those learn-anything- about-anyone internet 'spy' programs. I rated the image a 6 because that's what I think it's worth. Running the parameter file and zooming into the resulting image may be the best way of viewing today's finished product. The image will also soon be available at: and at: though I cannot guarantee that the correct image will be posted. The fractal weather today was the normal summer fare for this part of the world. The hot sun and 90F 32C degree temperature had the fractal cats lazy but happy all day. And it's time for me to get on with other projects, such as watching TV. I'm sorry about the inconvenience of the 2-step parameter file, but it's one of those freaky things that will probably never again be necessary. Until tomorrow, take care, and I wouldn't be surprised if the universe proved to be composed of fractals. Jim Muth jamth@mindspring.com START 20.0 PAR-FORMULA FILE================================ InternetSpyProgram { ; time=0:01:30.30--SF5 on a P200 reset=2001 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=recip passes=1 center-mag=+0.02429494176869804/-0.118024956696030\ 00/6.248276e+011/1/32.522/-0.001 params=-1/1.1/1\ /-0.7/0/800 float=y maxiter=256 inside=0 periodicity=10 mathtolerance=/1 colors=000IkhIrmIxq4UX2Sd1Ql0PtCZcOhO_q8cmDgjIjgNn\ cSr`XuY`gkbUxdSudRsdPpdOndMkdLidJfdIddKaeL_fMYgNIZ\ OJePPiQXi`NVkDGv42wVAzwInlOfdTYUYQZbHcg9hlNmMOmKPm\ JQmIMmLJmOGmQDmTAmW7mYBmVEmTImRLmPPmNSmLVmJbmLjmNr\ pPLwRFuM9sH3oDFoGKpJKqMKrRMsWOt_Qu`SvaUwaWxbYyb_zc\ azcczSezNgzIizDkz8mzIozSqzaszkuztwzkyzbzzVzzMzzDzz\ 5zzZzzazzdzzgzzjzzlzzizzfzzczz`zzYzzVzzZzzbzzfzzjz\ znzzszzxzzpzzhzzazzUzzNzzFzz8zzDzzIzzNzzSzzWzzXzzX\ zzXzzYzzYzzYzzazzezzhzzlzzpzzszzwzzzzzxzzwzzuzztzz\ szzqzzpzzozzrzztzzwzzyzzuzzqzznzzjzzfzzczzfzzhzzjz\ zmzzozzqzzrzzszzszztzzuzzuzzszzqzzozzmzzkzzizzgzze\ zzvzzdzzOzzUzzZzzczzhzzmzzrzzwzzMzzMzzMzzLzzLzzZzz\ UzzOzzJzzXzzizzvzzhzzVzzHzzFzzEzzDzzCzzBzzAzzIzzQz\ zXzzczzjzzqzzbzzOzzAzzBzzBzzCzzCzzCzzDzzDzzDzzJzzP\ zzUzz_zzdzzjzzozzJzzOzzTzzYzzazzWzzQzzKzzEzz9zzBzz\ CzzEzzFzzGzzLzzQzzVzzZzzc } 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 20.0 PAR-FORMULA FILE================================== Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------------------------------------------------------- From: "Cerridwen Connelly" Subject: (fractint) saving files Date: 24 Jul 2001 11:04:44 +0100 Does anyone know how to (or if it is possible to) save frames from Fractint as .JPG or .GIF? When I attempt this on my Pentium II/Windows 98, and try to open the saved images in Photoshop or PaintshopPro, they do not open. Back when I was on a 386/windows3.1, it was possible to save files in these formats (can't remember how though) and tweak them in a photo-editor program or art program to obtain the effects on the website listed below. I would like to continue doing this artwork:-) Any help greatly appreciated. Cerridwen http://www.users.bigpond.com/catfishy/CERRIDWEN.HTM Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------------------------------------------------------- From: "Paul N. Lee" Subject: Re: (fractint) saving files Date: 24 Jul 2001 05:23:54 -0500 Cerridwen Connelly wrote: > > Does anyone know how to (or if it is > possible to) save frames from Fractint > as .JPG or .GIF? Not as a JPEG format, but GIF has been the way for most all images since the creation of FractInt. Once the image has completed, just hit the "S" (for Save) on your keyboard and it will be written to whatever directory path you have specified for GIF files in your SSTOOLS.INI file. The first image file save will automatically be called FRACT001.GIF and if you save any others, then they will be sequentially numbered from there. > > When I attempt this on my Pentium II/ > Windows 98, and try to open the saved > images in Photoshop or PaintshopPro, > they do not open. Which version/release/level of FractInt are you using?? And what is the file that you are trying to open in your graphics editor?? How did you create that image file?? Sincerely, P.N.L. http://www.fractalus.com/cgi-bin/theway?ring=fractals&id=43&go Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------------------------------------------------------- From: "Morgan L. Owens" Subject: Re: (fractint) C-FOTD 21-07-01 (Iterative Serenade [5]) Date: 24 Jul 2001 23:23:39 +1200 At 03:05 24/07/2001, Programmer Dude wrote: >JimMuth@aol.com wrote: > > > ...and where did the philosophy go? > >Same place the light goes when you turn off the switch?? You mean the same place dropped Internet packets go? Morgan L. Owens "The landscape here must be littered with 'em" Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------------------------------------------------------- From: "Cerridwen Connelly" Subject: Re: (fractint) saving files Date: 24 Jul 2001 14:08:19 +0100 > Cerridwen Connelly wrote: > > > > Does anyone know how to (or if it is > > possible to) save frames from Fractint > > as .JPG or .GIF? > > Not as a JPEG format, but GIF has been the way for most all images since > the creation of FractInt. Once the image has completed, just hit the > "S" (for Save) on your keyboard and it will be written to whatever > directory path you have specified for GIF files in your SSTOOLS.INI > file. SSChoice.exe is the closest thing in the list of program parts to SSTOOLS.INI (which isn't there at all). >The first image file save will automatically be called > FRACT001.GIF and if you save any others, then they will be sequentially > numbered from there. This FRACT001.GIF does not appear on the bar with flashing dos-like cursor. Nothing appears until I type something in. > > > > > When I attempt this on my Pentium II/ > > Windows 98, and try to open the saved > > images in Photoshop or PaintshopPro, > > they do not open. > > Which version/release/level of FractInt are you using?? 20.0 > And what is the > file that you are trying to open in your graphics editor?? ONE.GIF > How did you > create that image file?? I ran (for example) mandel, cycling and altering colours with Enter key, then hit spacebar to capture a still, pressed s, and saved on that bar with the blinking cursor as ONE.GIF The error message in Photoshop reads: "could not open because the file-format module cannot parse the file". Cerri http://www.users.bigpond.com/catfishy Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------------------------------------------------------- From: "cybersue" Subject: Re: (fractint) saving files Date: 24 Jul 2001 10:59:00 -0400 Hello, Cerridwen (what a wonderful Celtic (?) name!) , The easiest way to do what you want is perhaps to save just the frame layers as a separate UPR, deleting all others (after saving, of course! :-)). Then render the frame UPR using the "Render to disk" command! The result will be a jpg file which you could then put into Photoshop and erase the center background black to transparent to use as a second layer over your own photos! (I'm assuming that's what you want to do?) I hope my humble answer helps you a little bit! I believe every little bit helps some! :-) Sharon cybersue@accesstoledo.com "Freedom Rules!" Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------------------------------------------------------- From: "cybersue" Subject: Re: (fractint) saving files Date: 24 Jul 2001 11:02:24 -0400 So sorry, Cerridwen, I just realized that I was reading my "Fractint" mail, not my "UltraFractal" mail! the solution I gave works in UF but I'm not experienced enough to know is there is a similar procedure for Fractint! I'm sorry I jumped too soon. Perhaps someone else on this list knows the answer to this one. Good luck. Sharon cybersue@accesstoledo.com "Freedom Rules!" Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------------------------------------------------------- From: comdotatdotcom@csi.com Subject: Re: (fractint) saving files Date: 24 Jul 2001 18:58:26 +0100 Hi Cerridwen, > > I ran (for example) mandel, cycling and altering colours with Enter key, > then hit spacebar to capture a still, pressed s, and saved on that bar with > the blinking cursor as ONE.GIF I see your problem, when you colour cycle and then hit space to pause you are actually still in colour cycle mode in fractint (some video modes will show this by having a white border oin the screen) and when you hit 's' in colour cycle mode you actually end up saving the pallette (just the colour set, not the image itself) which is in fractint's own .map format. What you need to do is hit escape once after pausing the cycle, then when you hit 's' it will save the image for you (without asking for a file name) to go back into colour cycle mode hit 'c' to continue where you left off. Hope this helps, Robin. Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------------------------------------------------------- From: "Les St Clair" Subject: Re: (fractint) saving files Date: 24 Jul 2001 19:27:31 +0100 Hi Cerridwen, OK, problem solved! As Paul said, pressing "s" will save the current fractint screen image as a .gif file in your Fractint directory (unless another location was specified in sstools.ini). However, as you were in colour cycling mode at the time, pressing "s" will save the colour palette as a ".map" file. As you called the file "one.gif" this has overwritten the default ".map" extension. Your graphics viewer could not open the "gif" file because it wasn't really a .gif file at all. The way to do what you want is to hit "c" instead of spacebar to pause colour cycling, then press "Esc" to leave colour cycling mode. Now press "s" to save the gif image. BTW, press "x" to get to the "basic options" screen. Here you can change the savename of the gif file to whatever you want. I hope you understood my garbled explanation. cheers, Les > I ran (for example) mandel, cycling and altering colours with Enter key, > then hit spacebar to capture a still, pressed s, and saved on that bar with > the blinking cursor as ONE.GIF > > The error message in Photoshop reads: "could not open because the > file-format module cannot parse the file". Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------------------------------------------------------- From: "Cerridwen Connelly" Subject: (fractint) thanks and another stupid question Date: 24 Jul 2001 21:35:20 +0100 Thank you Robin and Les!!! It works now:-) Stupid question two: I can't recall how to make the square box appear on the screen to crop the fractal and "go in deeper". Does anyone know from this appalling description what I am talking about and which keys to press?:-) *This is my final stupid question, I promise:-) Yn y Gwe, Cerridwen http://www.users.bigpond.com/catfishy Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------------------------------------------------------- From: "Les St Clair" Subject: Re: (fractint) thanks and another stupid question Date: 24 Jul 2001 22:03:17 +0100 Hi again, > I can't recall how to make the square box appear on the screen to crop the > fractal and "go in deeper". Does anyone know from this appalling description > what I am talking about and which keys to press?:-) Use the "Page Up" key. It's not easy to remember all the keystrokes for old-fashioned DOS apps is it!! Help is at hand though... Just press "F1" while running Fractint to get all the on-line help you need! The first help screen - four pages worth summarising the main commands - can be navigated using the cursor keys. Press F1 again to get the main help mega index! Have fun. - Les Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------------------------------------------------------- From: "Paul N. Lee" Subject: Re: (fractint) thanks and another stupid question Date: 24 Jul 2001 16:05:20 -0500 Cerridwen Connelly wrote: > > I can't recall how to make the square box > appear on the screen to crop the fractal > and "go in deeper". You are probably speaking about the Zoom Box, which may be reached by using the PAGE_UP keep on your keybaord. You will then have many options available while in that mode. At this point, I suggest hitting the F1-Key to acquire the various instructions. You may wish to also runt the following from the Command Line: fractint.exe makedoc This will generate a multi-page document with almost everything that you would care to know about FractInt. Sincerely, P.N.L. http://www.fractalus.com/cgi-bin/theway?ring=fractals&id=43&go Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------------------------------------------------------- From: "Doug Stewart" Subject: Re: (fractint) thanks and another stupid question Date: 24 Jul 2001 17:06:59 -0400 Try "page up" or "page down" ----- Original Message ----- Sent: Tuesday, July 24, 2001 4:35 PM > Thank you Robin and Les!!! > > It works now:-) > > Stupid question two: > > I can't recall how to make the square box appear on the screen to crop the > fractal and "go in deeper". Does anyone know from this appalling description > what I am talking about and which keys to press?:-) > > *This is my final stupid question, I promise:-) > > > Yn y Gwe, > > Cerridwen > http://www.users.bigpond.com/catfishy > > > > > -------------------------------------------------------------- > Thanks for using Fractint, The Fractals and Fractint Discussion List > Post Message: fractint@lists.xmission.com > Get Commands: majordomo@lists.xmission.com "help" > Administrator: twegner@fractint.org > Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" > Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------------------------------------------------------- From: "Doug Stewart" Subject: Re: (fractint) thanks and another stupid question Date: 24 Jul 2001 17:06:59 -0400 Try "page up" or "page down" ----- Original Message ----- Sent: Tuesday, July 24, 2001 4:35 PM > Thank you Robin and Les!!! > > It works now:-) > > Stupid question two: > > I can't recall how to make the square box appear on the screen to crop the > fractal and "go in deeper". Does anyone know from this appalling description > what I am talking about and which keys to press?:-) > > *This is my final stupid question, I promise:-) > > > Yn y Gwe, > > Cerridwen > http://www.users.bigpond.com/catfishy > > > > > -------------------------------------------------------------- > Thanks for using Fractint, The Fractals and Fractint Discussion List > Post Message: fractint@lists.xmission.com > Get Commands: majordomo@lists.xmission.com "help" > Administrator: twegner@fractint.org > Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" > Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------------------------------------------------------- From: Mark Christenson Subject: Re: (fractint) JPEGs & layers (was "saving files") Date: 24 Jul 2001 17:32:00 -0700 At 10:59 AM 7/24/01 -0400, cybersue wrote: >Hello, Cerridwen (what a wonderful Celtic (?) name!) , The easiest way to do >what you want is perhaps to save just the frame layers as a separate UPR, >deleting all others (after saving, of course! :-)). Then render the frame >UPR using the "Render to disk" command! The result will be a jpg file which >you could then put into Photoshop and erase the center background black to >transparent to use as a second layer over your own photos! At 11:02 AM 7/24/01 -0400, cybersue wrote: >So sorry, Cerridwen, I just realized that I was reading my "Fractint" mail, >not my "UltraFractal" mail! For anyone who *is* doing layers in Fractint, I wish to share a trick which has made my JPEGs much better. The program I use to merge my layers has the annoying trait of having a minimum compression ratio (won't generate a completely non-compressed JPEG). I have learned to save it first as a 24-bit color TIFF (I have no PONG-capable software), and then do final adjustments and conversion to a mildly compressed JPEG in a program with better compression characteristics (in my case, PSP 2.0. Yes, 2.0!) You still have to live with artifacts, but they are less severe. Happy fractalling, Bud Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------------------------------------------------------- From: JimMuth@aol.com Subject: (fractint) C-FOTD 25-01-00 (What a Midget [5]) Date: 25 Jul 2001 08:12:08 EDT Classic FOTD -- July 25, 2001 (Rating 5) Fractal visionaries and enthusiasts: Today's image is a harsh one, which takes 1-1/2 hours to render from the parameter file. Looking at it, I get the impression that it could have been an 8-rated image, but somewhere along the way something went wrong. Maybe there's just too much muddy- looking black. In the end, I rated the image at an average 5 and named it "What a Midget". The name is to be taken more as a question than as an exclamation. The image is part of the Z^(sqrt(2))+C fractal. In today's case, the pictured section of the fractal is located 6.283185307 out the infinite fractal spiral. This number is two times pi. I chose it because setting real (p2) of the MandelbrotBC1 formula to pi produces fractals with X-axis symmetry, and I wanted to see what 2pi would do. I found that it did nothing extraordinary The slow render time and less than great quality of today's image make a download of the GIF image the better choice. But before visiting their web sites, give paul and Scott a chance to render and post the image. Those sites may be found at: and at: The fractal weather today was once again summer-like, with humidity as high as the temperature, which reached 94F (34.5C). The public complained, but the cats approved. And I wish I had nothing to do, but the day is young and the work is waiting. Until next time, take care, and be efficient. Jim Muth jamth@mindspring.com START 20.0 PAR-FORMULA FILE================================ What_a_Midget { ; time=1:27:57.45--SF5 on a P200 reset=2001 type=formula formulafile=allinone.frm formulaname=MandelbrotBC1 function=floor passes=1 center-mag=-0.30392296144667660/-0.870386112464632\ 30/7.247228e+008/1/-72.5 params=1.414213562373/0/6\ .283185307/0 float=y maxiter=15000 inside=0 logmap=2481 periodicity=10 colors=0008R6AR7CR9ERAHRCJRDLRFNRGQRHSRJURKWRMZRN`\ RPbRQbOMcQPdRReSUfUWfVZgW`hXbiZej_gj`jkbllcomdqmes\ idqfcpcco`bmXalUakR`iO_hL_gK`fK`fK`eKaeJadJadJbdJb\ cIbcIcbIcbIcbHdaHdaHd`Hd`Ge`Ge_Ge_GfZFfZFfZFgYFgYE\ gXEhXEhXEhWDiWDiVDiV7gSDiVIkXOmZTo`Zqbcsdiufmxfnwg\ nwhnvhnvinvinujnukntkntlotlosmosnosnoroorooqpoqpoq\ qoprpprppspospotpnupnupnvpmvpmwpmwqnwrpxqnwqlvqjvq\ hupftpdtpbsp`soZroXqoVqoTpnRonPonNnnLnmJmmHlmFlmDk\ lBjl9jl7im4jl5ik5hj5gi5fh5fg5ef5de5cd5cc5bb5aa6``6\ `_6_Z6ZY6YX6YW6XV6WU6VT6VS6UR7TQ7SP7SO7RN7QM7PL7PK\ 7OJ7NI7MH7MG8LF8KE8JD8JC8IB8HA8G98G88F78E68D53C68D\ 6CD7HD7LD8QE8UE9YE9bEAfFAkFBoF9yDBsFDmGFgIHbJJXKLR\ MNLNLFNNGOOGOPGORGOSHOTHOVHOWHOXIPZIP_IP`IPbJPcJPe\ JPgJPiKQjKQmKQnKQpLQrLQtLQzJSwKRuLQrMQpNPmOOkOOhPN\ fQMdRMaSLZTKXTKVUJSVIPWINXHKYGIYGGZFD_EB`E9aD7bC3d\ B4cC5bC5bC6aD6aD7`D8`E5R4 } frm:MandelbrotBC1 { ; by several Fractint users e=p1, a=imag(p2)+100 p=real(p2)+PI q=2*PI*fn1(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| Subject: (fractint) thanks - up and down:-) Date: 26 Jul 2001 10:42:54 +0100 Thank you Paul, Les and David for the "Page Up and Down" replies. It works fine now and I am happily generating new additions to my art link pages:-) Yn y Gwe, Cerridwen http://www.technopagans.co.uk http://www.pagantours.co.uk http://www.users.bigpond.com/catfishy Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------------------------------------------------------- From: JimMuth@aol.com Subject: (fractint) C-FOTD 26-07-01 (A Skeletized Scene [5]) Date: 26 Jul 2001 10:28:09 EDT Classic FOTD -- July 26, 2001 (Rating 5) Fractal visionaries and enthusiasts: Due to a rush, today's discussion will be short. Today's fragmented scene has a nearly-lost midget at the center. The unusual effect is caused by coloring the outside area with rather than the usual . The formula behind the image is (Z^2)+(0.2(Z^3))+C. The parent fractal is a figure with a string of bays, with many new valleys to explore between the bays. Today's scene lies in one of the new valleys. Noticing the skeletal effect of the picture, I named it "A Skeletized Scene". Due to the haste in which the image was produced, I could rate it no higher than a 5. The parameter file renders in 29 minutes on a Pentium 200mhz machine. The download of the GIF image from: or from: is far faster. But give Paul and Scott a chance to render and post the image before visiting their sites. The fractal weather today was sunny and quite hot and humid today, with a temperature of 97F 36C. The fractal cats ignored the heat and slept most of the day. But I've got a bit of work to accomplish, so until next time, take care, and patience is rewarded, but too much patience gets nothing done. Jim Muth jamth@mindspring.com START 20.0 PAR-FORMULA FILE================================ A_Skeletized_Scene { ; time=0:29:49.15--SF5 on a P200 reset=2001 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=ident passes=1 center-mag=-3.517795082582847/-0.172268355153175/5\ .450818e+011/1/-154.935/-0.116 params=1/2/0.2/3/0/0 float=y maxiter=3000 inside=0 proximity=0.047 outside=fmod periodicity=10 colors=000DITDITCISCISCISBIRBIRBIRAIQAIQAIQ9JP9JP9\ JP8JO8JO8JO7JN7JN7JN6JM6JM5HN6JM6KM6LM6NL6OL6PL6RL\ 6SK6TK6VK6WK7XJ7YJ7_J7`J7aI7cI7dI7eI7gH7hH7iH7jHAk\ GCkGEkFHlFJlELlEOmDQmDSmCVnCXnBZnBaoAcoAeo9hp9jp8l\ p8qq9np8lp8ip7gp7ep7bp6`o6Yo6Wo5Uo5Ro5Po4Mo4Kn4In3\ Fn3Dn3An28n24m16n28n29o2Bo2Dp2Ep2Gp2Iq2Jq2Lr3Mr3Or\ 3Qs3Rs3Tt3Vt3Wt3Yu3Zu4`v4bv4cv4ew4gw4hx4jx4kx4jr5i\ m6hh7gc8fY8eT9dOAcJBfC6bEB_FGWGLTHQQIVRJWSJWSJWTJW\ TJWUJWVJWVJWWJWWJWXJWXJWYJWZJWZJW_JW_JW`JWaJWaJWbJ\ WbJWcJWcJW`NZYQaVUdTXgQ`jNcmLgpIjsFnvDqxCrvCrtCrsB\ rqBroBrnArlArjAri9rg9re9rd8rb8r`8r_8rY7rW7rV7rT6rR\ 6rQ6rO5rM5rL5rJ4rH4rG4rE0qC4rD7rEArEErFHsFKsGNsGRs\ HUsHXtI_tIctJftJitKluKpuLsuLvuMyuMvtPstSptUmtXjtZg\ tadtdbsf_siXskUsnRsqOssLsvIszJsxJpwJlvJiuJetJbsJ_r\ JWqKTpKPoKMnKJmKFlKCkK8jK5iK2hI4eG5cF7`D8ZB9WABUAC\ RADPAAHAAKAAMAAPAARAAUAAT } 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 20.0 PAR-FORMULA FILE================================== Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------------------------------------------------------- From: JimMuth@aol.com Subject: (fractint) C-FOTD 27-07-01 (Billowing Billows [6]) Date: 27 Jul 2001 10:09:50 EDT Classic FOTD -- July 27, 2001 (Rating 6) Fractal visionaries and enthusiasts: My opinion of the outside fill option grows more favorable every time I use it. However, due to its flaw, the tendency to revert to a flat color at high iteration levels, I doubt that it will ever become my default method of exploration. But it certainly can bring life to some otherwise nearly dead fractals. Today's image is a good example of the new life which the option can sometimes bring to ho-hum fractals. When rendered in the usual manner, with the usual equal-iteration bands, today's image is just another fractal, the likes of which we've seen hundreds of times before. But when the new option is used, the image takes on a striking, almost three-dimensional quality that makes it well worth being named Fractal of the Day. The parent fractal of today's image is a Mandeloid with several extra bays and valleys. It was created by a simple combination of small portions of Z^4 and Z^5. On the surface it appears to have little potential, and indeed, were it not for the option, I would have given up on the fractal before reaching the scene of today's image. I named today's picture "Billowing Billows" partly as a joke, and partly because I like the sound of the words. The rating of 6 is fair. The parameter file runs in 17 minutes. The file of the GIF image, which will be posted in an hour or so to: and to: will download in less than one minute. The fractal weather today was cloudy, with a temperature of 88F (31C) and a light shower in the afternoon. The fractal cats approved of everything but the rain. And I'll approve of today's work once it's behind me. The only way I know to get the work behind me is to start, so that's what I'm now ready to do. But I'll return in the proper time with another fractal. The philosophy is also once again stirring, so it stands to reason that it will soon make a long overdue re- appearance. Until tomorrow, take care, and search for fractals. Jim Muth jamth@mindspring.com START 20.0 PAR-FORMULA FILE================================ Billowing_Billows { ; time=0:17:09.36--SF5 on a P200 reset=2001 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=ident passes=1 center-mag=-4.13027890934321500/+0.608256133526089\ 10/12033.82/1/-164.999 params=0.05/4/0.01/5/0/0 float=y maxiter=1200 inside=0 outside=tdis periodicity=10 colors=000YTAXV9XX7XZ6X_5_c6bf6di6gm6jp6ls6gt8cu9Z\ uBVvCRwDMwFIxGExHRhNbUTcTWcTYcT_cTacTcdSfdShdSjdSl\ dSneUmfWmgYmh_mialjclkellglmhlnkfomapoXqqSrsNmrOir\ PerQaqRXqSTqTPpULpVHpVKoXNnZQn`TmbWmdZlfalgdkigkkj\ jmmjopiqsirohnkhkghgchd_haWhYShVPhSOiUOjWNkYNl_Nma\ MmcMneMogLpiLqkLqmKpkJnjImhxcCxg8yk4yo0vn3sm6pl9mk\ CjjFgiIdhLagOZfRWeUTdXQc_NbbKaeH`hE_kFYjFXiFVhFUgG\ SfGReGPdGOcHNbHLaHK`HI_IHZIFYIEXIDWIGVIJVIMVIPVISV\ IVVIYVI`VIcVHbUGaTQBTR8RR5PJBUCHYFI_HIaJJbLJdNKfPK\ gRLiTLjVMlXMnZNo`NqbNr`Lp_KoZImYHlXGjWEiVDgUBfTAdS\ 9cR7aQ6`P5_M4cK3gI3jG2nE2qC1uA1xH4tN6pT8m_AieCekEb\ XDRICF3C35D26D28D29D1AD1CD1DD1ED0GD0HD0ID0OM6TUBYb\ HbjMgrR`oOUmLNkJLjKKiLIhLHgMGfNEeNDdOBdPAcP9bQ7aR6\ `R4_S3ZT2ZTGROUJJgBEt3As69s98sC7rF6rH6rK5qN4qQ3qT2\ qV2oY3n_3lb4kd4jg4hi5gl5en6dq6cs6YqAToEOnIIlLDkPJ`\ tKbtKdsLfsLhsZMGYOEYQDYSB } 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 20.0 PAR-FORMULA FILE================================== Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------------------------------------------------------- From: JimMuth@aol.com Subject: (fractint) C-FOTD 28-07-01 (Midget and a Half [6]) Date: 28 Jul 2001 11:13:37 EDT Classic FOTD -- July 28, 2001 (Rating 6) Fractal visionaries and enthusiasts: Today's fractal has been named "Halfway Midget". I gave it this name not because of its behavior, but because the generating formula of its parent fractal is Z^(2.5)+C, and 2.5 of course is halfway between 2 and 3. Midgets in this range come in all shapes. The shape of the midget in today's picture, with the midget splitting along its East Valley, is one of the most frequently seen. I originally found today's midget by using the MandelbrotBC formula. But when the image was completed, I realized that the second parameter was set to pi, and the formula was therefore drawing the same image as Fractint's built-in manzpower formula would draw. I then rendered the image with the manzpower formula, but found it too slow. I finally turned to my own MandelbrotN formula, and found that this formula draws the identical image in 2/3 the time of the manzpower formula. In my opinion, the most notable thing about the image is the inconspicuousness of the branch cut discontinuities. The breaks are there, but they are so well hidden that unless looked for, they would never be noticed. All in all, it's a slightly-above- average image, well worth the rating of 6. Rendering the image with the fastest formula, MandelbrotN, takes 4-1/2 minutes. Downloading the GIF image file is even faster, but before going for the download, give Paul and Scott a chance to post the image file to their web sites. The GIF image will be available for download at: and at: The fractal weather today was perfect. The sunny skies, low humidity, and temperature of 81F 27C made the cats as well as myself happy. Until next time, take care. Jim Muth jamth@mindspring.com START 20.0 PAR-FORMULA FILE================================ Midget_and_a_Half { ; time=0:04:34.35--SF5 on a p200 reset=2001 type=formula formulafile=slices.frm formulaname=MandelbrotN passes=1 center-mag=-0.923\ 23411769327450/-0.00079409795476115/2.610506e+008/\ 1/-14.999 params=2.5/0/0/0/0/0 float=y maxiter=3500 inside=0 logmap=106 periodicity=10 colors=000AfgAfhAeiAdiAcjAbkAakA_lAYl9Wm9Un8Sn8Qm8\ Pk8Ni8Lg8Je8Ic8Ga8E_8CY8BW7AU7AS79Q79O68M68K67I67G\ 66E56C55A55A54A44A43A43A42A42A97ADBAHGALKBPPBTTBXY\ A`aAdfAhjFloKmsPhmUcdZZccUbhPlkSsnTrkUogVldVi`WfYX\ cUY_QYXNZUJ_RG`PC`P9XPBTPDPUELUGHUHDUJ9UK5ZM1hNDp0\ Hk7LfEPbLTYSXUZ`PedLk`ReXW_U`UQePMkJJpDFu7Cz2Fx5Iv\ 8LuAOsDRqFTpIWnKZlNakPdiSggVifXld_obaradu_fxYizXkx\ WgwWcvW_uWWtWSsWOrWKqWGpWCoW8iVCdUGZUJUTNOSRJSUDRY\ 8R`BTZEUXHVVKWTNXSQYQTZOWYMYXL`WJcVHfUFiUElUCoUArU\ 8tU7oUAkUCfUEbSGZPIWLLXINYFPZCR_9T`9Ta9Sb9ScASdARe\ ARfARgARh9Qi9Pj9Pk8Ol8Nm8Nn7Mo7Mp8LqAKrCKsDJtEJuFI\ vGHwHHxIGyJGzKFzLEzMEzNDzODzPCzQCzRCzSCzTCzUBzVBzW\ BzXBzYBzZAz_Az`AzaAzbAzc9zc9zc9zc9zc9zc8zc8zc8zc8z\ c8zc7zc7zc7zc7zc7zc6zc6zc6zc6zc6zc5zc5zc5zc5zc5zc4\ zc4zc4zc4zc4zc4zc6zc7zc9zcAzcCzcDzcFzcGzcHzcJzcKzc\ MzcNzcPzcQzcRzcTzcUzcUzcU } frm:MandelbrotN {; Jim Muth b=p1, z=p2, c=p3+pixel: z=z^(b)+c, |z| <= 16 } END 20.0 PAR-FORMULA FILE================================== Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------------------------------------------------------- From: JimMuth@aol.com Subject: (fractint) C-FOTD 29-07-01 (Creature Feature [7]) Date: 29 Jul 2001 10:57:24 EDT Classic FOTD -- July 29, 2001 (Rating 7) Fractal visionaries and enthusiasts: I named today's picture of a Z^(sqrt(2))+C midget "Creature Feature" because I found it on a Saturday evening, just as I was ready to settle down to watch my traditional Saturday night junky old creature feature on TV. The image rates a 7 because it shows a relatively new kind of midget. But what is a creature feature? To qualify as a creature feature, a movie needs to meet certain low standards. Most importantly, it must violate so many scientific principles as to be totally unbelievable. A typical plot might be to have the planet Earth torn in half by a magnitude 15 earthquake, (impossible), and the two halves drift off in their own orbits. (Also impossible.) Of course, we would need a 'scientist' to exclaim something like, "wow! what a trembler!", as the quake happened. (The word is temblor.) Next, the special effects must be immediately obvious and totally unconvincing. Any invading alien monsters must look like men in rubber suits, and not like actual alien life forms. This leaves out most current movies with their computerized effects that can be quite convincing. These modern films can be enjoyable, but they're not creature features. The dialog of course must be so stereotyped as to be predictable. A line such as, "look George, an alien from outer space!", can bring a dying movie back to life in a hurry. Finally, in case all else fails, and to interest the ladies, the movie must have a human relationship of the proper man-woman kind. And the viewers must spot the lovers before the lovers recognize each other. What does all this have to do with today's image? Well, today's image reminds me of an alien fungus growing on a man's arm, which will soon turn the man into another alien fungus. The fungus is actually the filaments shooting out from the midget, which is located at the edge of a bay of its parent fractal. The parent is shaped quite like its child. The parameter file renders in a quick 2-3/4 minutes, and is about as much work as downloading the GIF image from: or from: The choice is left to the viewer. The fractal weather today was pleasant but uneventful, with partly cloudy skies and a temperature of 79F 26C. The cats must have approved, though they slept most of the afternoon. Until next time and next fractal, take care, and see you then. Jim Muth jamth@mindspring.com START 20.0 PAR-FORMULA FILE================================ Creature_Feature { ; time=0:02:42.30--SF5 on a P200 reset=2001 type=formula formulafile=allinone.frm formulaname=MandelbrotBC1 function=floor passes=1 center-mag=-0.56270101574334630/+0.915160418848623\ 90/160.9974/1/-155 params=1.414213462373/0/75.3/800 float=y maxiter=3600 inside=0 logmap=47 colors=00006R06R07S18T29U3AV4BW5CX6DY7EZ8F_9G`AHaB\ IbCJcDIdEIeFHfGGgHGhIJiJMiKPiJSjIVjHYjG`jFbkEekDhk\ CkkBnlAql9tl9vlBwkCwkDwkFwkGwjHxjJxjKxjLxiNxiOyiPy\ iRyhSyhTyhUyhPlaK`VFOOACHIAEQ8C_69g47q24w02r14n25i\ 37f48c5A_6BX7DT8EQ9GNAHJBJGCKDCLHEKKFKOGJRHJVJIYKI\ aLHdMHhNGnQGrSFvUFyWEzYEyXDwVCuUCsSBqRBoPAlO9iO9gN\ 8eN8cM7aL6_L6YK5WK5UJ4SI3QI3OH2MH2_OLlVcyav5kGAgFE\ cFJ_ENWESSEWOD`KDdGCiCCm9Cn8Dn8Dn7Eo7Eo6Fo6Fp6Fp5G\ p5Gq4Hq4Hq3Ir3Ir3Ir2Js2Js1Ks1Kt0Lt0Lt0Ln2Rh3Xb4bU5\ UI7A39ABDAJHARLBSMASMATM9TN9UN8UN8VO7VO7VO7WP6WP6X\ P5XQ5YQ4YQ4YQ4`UEbYNd`Wfdehhnjkwkgtlcqm_onXloTjoPg\ pLdqIbrE_sAYtBVtCTsDWrEYrF_qGaqHcrI`rJYrKVrLSrMPrN\ MrOJtPGwQDzRPzS_zTjzUuzVrzWpzXmzYkzZhz_fz`czaazbZz\ cXzcUzcSzcPzcNzdLzeMzfMzgNzhNziOzjOzkOzlPzmPznQzoQ\ zpQzqNzrKzsHztEzwBzv8zw6zxAzzDzzGzzJzzMzzPzzSzzWzz\ Zzzazzdzzgzzqzzpzzpzzozzo } frm:MandelbrotBC1 { ; by several Fractint users e=p1, a=imag(p2)+100 p=real(p2)+PI q=2*PI*fn1(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| and to: The fractal weather today featured clouds, light rain, and a most un-summer like temperature of 64F 18C. The cats complained a bit, then went to sleep. I notice that the cats are romping less and sleeping more as the months and years pass. They must be starting to feel their age. As for myself, I'm feeling the need to get some work done. So until next time, take care, and don't write off the philofractal list as dead yet. I've got a lot of controversial stuff yet to discuss. All I need is the time to sit down and write it. Jim Muth jamth@mindspring.com START 20.0 PAR-FORMULA FILE================================ Illusory_Minibrot { ; time=0:18:34.17--SF5 on a p200 reset=2001 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=ident passes=1 center-mag=-4.28968168524079100/+0.751079008850680\ 90/1.517355e+012/0.9996/-175.008/-0.043 params=0.05/4/0.01/5/0/0 float=y maxiter=1800 inside=0 logmap=373 periodicity=10 colors=000M6FL4EK2CJ0BI1DI1EH2FH2GG2HG3IF3JF3KE4LE\ 4MD4ND5OC5PC5QB6RB6SA6UA7V97W98W89X8AY7BZ7CZ6D_6E`\ 5Fa5Gb4Hd4If3Jh3Kj2Kl2Kn2Kp2Kr1Kt1Ku1Kv1KwF0hk0ak0\ Uk0Nk0Lk0KmKJkPIiUGhZFg`EfcDdfBahA`k9Zm8Xp6Vr5Tu4S\ w3Rv4Qv5Qv6Pv6Pv7Ov8Ov9Nv9NvAMvBMvCLvCLvDKvEJuFJsF\ IqGIoHHmIHkIGkJGlKFmLFnLEoMKpNPqOUrOZtPcuPhvQmvQrw\ QwxRzzRrySmwShxScxTZxTUxUPyUQyUTyVTyVTyWTzWSzWTzXU\ zXUzXSxWQvWOtVMrVKpUInUGlTEjTChSAfS8dR6bR7eU7gX7i_\ 8kb8me8ph8rk9tn9vq9xt9zwCwsEtpHqlJniMleOibRfZTcWW`\ SYZP`WLbTIeQEgOBiREjTGkWJlYLm`OnbQoeTpgVqjYrl_sobt\ qdusftmgshhrciqZjpUjoOknJlmEml9nl4ni9pfEqcJsaOtZTv\ WYwTbyRgzV`zYUzaOzdHzhAzk4zvBzp9uj7pd5kZ3gX9bVEZUJ\ USOQQTLPYHNbCMg8SiCXkFamJfoMkqQpkTxANqEOkHPdIUZJZS\ KcMLhFMm9NrFOwLPzQQzWRz`SzfTzkUziWzhXzfYze_zcazbcz\ aez_gzZizXkzWmzUmzTmzSmzPmzNmzKmzImzJmzJmzJmzJmzJm\ zKmzKmzKmzKmzKmzLmzLmzOmz } 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 20.0 PAR-FORMULA FILE================================== Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------------------------------------------------------- From: Jim Muth Subject: (fractint) C-FOTD 31-07-01 (Smoky Joe Midget [7]) Date: 31 Jul 2001 09:14:43 -0400 (EDT) Classic FOTD -- July 31, 2001 (Rating 7) Fractal visionaries and enthusiasts: Long ago, before the bridge across the Chesapeake Bay was built, there used to be a ferry that carried travelers to the eastern shore. That ferry was named "Smoky Joe". I never had the pleasure, or displeasure, of riding on that ferry, but my father rode it often, and frequently told of the thick black clouds of oily smoke that belched from the funnel whenever the ancient engines were running, sometimes choking the passengers and always marking the ferry's position even when the boat itself was below the horizon. For some strange reason, today's fractal reminds me of a ferry boat that I have seen only pictures of. The outer features surrounding the central midget do have a rather smoky effect, and the streaks of orange-red could be the reflection of a fire in a coal furnace, so I guess the name is justified. The formula Z^3+0.225(Z^5)+C is responsible for the smokiness, as well as everything else in the image, except for the coloring, which was created by the inside fill option aided by myself. The rating of an above-average 7 is justified. The render time of a little over 8 minutes is slightly slow, but worth the wait. And as always, those who lack the computer time to render from the parameter file may see the image by visiting Paul's web site at: or Scott's at: and downloading the GIF image from there. Give Paul and Scott a chance to first post the image of course. The fractal weather today was average, with a temperature of 81F 27C and big puffy white clouds that occasionally dropped a few large raindrops but never released their full potential. The fractal cats showed their approval by spending several hours in the yard, dodging the few raindrops. It's now 9am of the last day of July, and time to get a bit of work done. I'll return as always at the proper time. Until then, take care, and brace yourself for imminent philosophy. Jim Muth jamth@mindspring.com START 20.0 PAR-FORMULA FILE================================ Smokey_Joe_Midget { ; time=0:08:17.96--SF5 on a P200 reset=2001 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=ident passes=1 center-mag=+0.02671087209221384/-1.928837536631981\ 00/6.528213e+012/0.9999/-127.48/-0.023 params=1/3/0.225/5/0/0 float=y maxiter=1200 inside=0 outside=tdis periodicity=10 colors=000CbSAXU8OWELSKJPQHLWFI_DFUHMZKTYOhWRmVVrU\ YwVTrWPcWKWXGPYBHY7A_KObQVQFsPKoOPkNTgMYcL``MYdMVg\ NSjNOmOLpOIsQKnSLiUMdWN`YOW_PRaQMbRINDR70_I7_TE_cL\ _KK_7J26IC6HL6GU5Fb5Ek5EtBGpGIlLKhQLdVN`_PXdQTeUXe\ Y`eadfegfikfmofqreopcnoblmfIsiItkItmItnMuoPupTuqWu\ rZusbuteuuiuvluwouxsuyvuyyuruskqqdnpYjnRgmKckD`j6X\ h0Ug9ehIphFneDlcAj`8iZH`VPYRTYXXba_hfcmkgspjxuhulf\ rddoWclORnHEoA1p36mBBjIGgQKdXPadUZkZWsbTzdVtfXnhZi\ j`clbZndToeOibMd`KZYJUWHPTFJREEOC9MBCODEQFGSHIUJON\ QTGXY9c_2jT6iJAhADg9Gf8If8Ke7Ne7Pe6Rd6Td5Wd5Yc4_c4\ ac3Z`3WY3TV2RSRS6TV6VX6XZ7Za7ac7ce7eh7gj7il7ln6oo5\ rp5uq4xr4pm7hhA`dDaeEafFafGbgGbgHbhIchJciJciKdjLdj\ MdkMekNelOelOchKbeG`bC__8YX4XU0MD2OE4KF5RL7QJ9PHAN\ FAMDALBAJ9AI7AH5AO8CUAD`CEfEFjGDpICuKBzLAyN9xO8wP8\ vQ7uR7rS6rT6jV8bXAVZCN`EGbG8QX1Dm3If5N`6SV8XOAaIBf\ CDhEEiGFjIHkKIlMJmOHzOEpQ } 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 20.0 PAR-FORMULA FILE================================== Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint"