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11 Oct 2024 05:21:04 EDT (-0400)
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From: Invisible
Subject: Re: Ink blot test
Date: 9 Jan 2008 06:34:07
Message: <4784b12f@news.povray.org>
> I've not seen much
> about Fractint recently and I hope that you revive an interest in it.

Last I heard, FractInt is no longer actively maintained. The images on 
Zazzle are the last thing I ever generated with it. Sadly, it refuses to 
run on my shiny new 64-bit PC.

I am currently attempting to construct a Mandelbrot exploration tool of 
my own...

-- 
http://blog.orphi.me.uk/
http://www.zazzle.com/MathematicalOrchid*


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From: Stephen
Subject: Re: Ink blot test
Date: 9 Jan 2008 06:59:42
Message: <mnd9o3129oofejbjgmpefs94rufi5jnj1h@4ax.com>
On Wed, 09 Jan 2008 11:34:06 +0000, Invisible <voi### [at] devnull> wrote:

>> I've not seen much
>> about Fractint recently and I hope that you revive an interest in it.
>
>Last I heard, FractInt is no longer actively maintained. 

It is a shame.

>The images on 
>Zazzle are the last thing I ever generated with it. Sadly, it refuses to 
>run on my shiny new 64-bit PC.

Have you thought of compiling Fractint for a 64 bit OS because it runs on my m/c
with 32 bit WinXP?

>I am currently attempting to construct a Mandelbrot exploration tool of 
>my own...

Interesting! Keep us posted on how you get on. I had lots of fun with the Cubic
Mandelbrot code that you posted a couple of years ago. I made an interesting DF3
density file with it that I still use. Would it be difficult to convert it to
the normal Mandelbrot? I tried and failed miserably.


Regards
	Stephen


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From: Warp
Subject: Re: Ink blot test
Date: 9 Jan 2008 07:39:17
Message: <4784c075@news.povray.org>
Invisible <voi### [at] devnull> wrote:
> I am currently attempting to construct a Mandelbrot exploration tool of 
> my own...

  Why? You'll never beat Xaos at that.

-- 
                                                          - Warp


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From: Warp
Subject: Re: Ink blot test
Date: 9 Jan 2008 07:42:37
Message: <4784c13d@news.povray.org>
Invisible <voi### [at] devnull> wrote:
> And 
> some of the regions you found are quite unusual and interesting...

  That's one thing I like about the Mandelbrot set: At first sight it
seems that there isn't really all that much variation, but if you just
keep exploring you'll find some surprises.

  My favorite unusual shapes I have found are:

http://warp.povusers.org/snaps/fract/fract45.jpg
http://warp.povusers.org/snaps/fract/fract37.jpg
http://warp.povusers.org/snaps/fract/fract43.jpg
http://warp.povusers.org/snaps/fract/fract16.jpg
http://warp.povusers.org/snaps/fract/fract15.jpg

-- 
                                                          - Warp


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From: scott
Subject: Re: Ink blot test
Date: 9 Jan 2008 08:04:57
Message: <4784c679@news.povray.org>
>> I am currently attempting to construct a Mandelbrot exploration tool of 
>> my own...
> 
>  Why? You'll never beat Xaos at that.

Because it's fun and educational?


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From: Invisible
Subject: Re: Ink blot test
Date: 9 Jan 2008 08:08:22
Message: <4784c746$1@news.povray.org>
Warp wrote:

>   That's one thing I like about the Mandelbrot set: At first sight it
> seems that there isn't really all that much variation, but if you just
> keep exploring you'll find some surprises.

Indeed.

Originally I would just sort of explore at random. After a while you get 
to know a few areas such that you can re-find them on que. But that's 
not terribly exciting.

Later I spent some time working out the topology of the M set more 
clearly. (I even have some mathematical rules that describe how the 
periodic cycles work.)

Gradually I came to understand that particular shapes repeat around 
things. Find a 3-way fork, zoom in, and you'll find minibrots decorated 
with 3-way forks. (I quickly discovered that the negative tail has lots 
of nie thin filaments that trace the internal structure of the other items.)

And then, after exploring the M set for years, I discovered something 
completely unexpected: you can find mini Julia sets in there too! Real 
Julia sets have 2-fold symmetry, but these mini copies have in their 
interior shapes with 4-fold symmetry. And then 8-fold, 16-fold, and so 
on, until you find a minibrot at the center.

And then, on exploring further, I discovered that there's a mini Julia 
at every "junction point" inside, not just at the middle. But the ones 
at other junctions have more complicated (and interesting) shapes. For 
example, see

http://www.zazzle.com/MathematicalOrchid/product/228495105959465679

It's a normal "seashell" Julia, but bend into an S-shape. Most unusual.

And then, by choosing mini Julias inside, and going through multiple 
non-central junctions, you can come up with really weird and wild shapes 
[which inevitably end up looking a tad samey after a while].

I'm sure there is still plenty to be discovered in there...

> http://warp.povusers.org/snaps/fract/fract43.jpg

I like this.

> http://warp.povusers.org/snaps/fract/fract16.jpg

I wouldn't call this "unusual", but it is very beautiful.

-- 
http://blog.orphi.me.uk/
http://www.zazzle.com/MathematicalOrchid*


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From: Invisible
Subject: Re: Ink blot test
Date: 9 Jan 2008 08:16:11
Message: <4784c91b$1@news.povray.org>
Warp wrote:
> Invisible <voi### [at] devnull> wrote:
>> I am currently attempting to construct a Mandelbrot exploration tool of 
>> my own...
> 
>   Why? You'll never beat Xaos at that.

You think not?

Actually, my reason for building this tool is precisely to address a 
limitation of Xaos. Zoom in and then zoom back out again, and Xaos will 
recompute the pixels that scrolled off the screen. My plan is to build a 
tool that will keep the data for every pixel ever drawn in a giant 
on-disk database. I expect this to be highly useful for rendering long 
zoom animations to disk - and also for fast interactive exploration. (At 
least, the *second* time you visit an area anyway...)

As to whether the program ever reaches a useable state... we shall see.

[I also have plans for a more general-purpose fractal drawing tool more 
like FractInt - i.e., with a healthy dose of different fractal types, 
colouring algorithms, etc. But we'll see if that project ever goes 
anywhere.]

-- 
http://blog.orphi.me.uk/
http://www.zazzle.com/MathematicalOrchid*


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From: Mike Raiford
Subject: Re: Ink blot test
Date: 9 Jan 2008 08:31:14
Message: <4784cca2$1@news.povray.org>
Orchid XP v7 wrote:
> OK, click this link:
> 
> http://www.zazzle.com/MathematicalOrchid/product/158520257973322698
> 
> Now tell me which month is *your* favourit one. (I know what my answer 
> is, but I'm curios to see what other people think...)
> 

November .. or maybe December ... Dunno. I'm a sucker for minibrots.


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From: Tom Austin
Subject: Re: Ink blot test
Date: 9 Jan 2008 08:31:33
Message: <4784ccb5$1@news.povray.org>
Orchid XP v7 wrote:
> OK, click this link:
> 
> http://www.zazzle.com/MathematicalOrchid/product/158520257973322698
> 
> Now tell me which month is *your* favourit one. (I know what my answer 
> is, but I'm curios to see what other people think...)
> 


You ever consider that something like this might be your way out of the 
pit you are in now ;-)

Seriously....

If you could find a way to get these items out there that's a little 
more profitable.


Just some thoughts ;-)



Tom


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From: Invisible
Subject: Re: Ink blot test
Date: 9 Jan 2008 08:35:12
Message: <4784cd90@news.povray.org>
Tom Austin wrote:

> You ever consider that something like this might be your way out of the 
> pit you are in now ;-)
> 
> Seriously....
> 
> If you could find a way to get these items out there that's a little 
> more profitable.
> 
> 
> Just some thoughts ;-)

Heh. Even Gilles doesn't actually make a *living* out of his work. And 
*his* work kicks tail! ;-)

Nice idea though...

-- 
http://blog.orphi.me.uk/
http://www.zazzle.com/MathematicalOrchid*


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