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Warp wrote:
> IMO you should have worked more on the palettes,
This is the part I absolutely suck at. (You'll notice of course that
every single image present uses one of FractInt's built-in colour presets.)
FractInt's primitive colour editing interface doesn't help much, but
basically apart from using primary and secondary colours, I can never
think of good colour combinations. (And, obviously, there are 3 primary
and 3 secondary colours. Not too many possible combinations with only 6
starting points...)
> and perhaps also the locations of the zooms.
Hmm... Well since a finished fractal image = position + colour, you're
basically saying the entire thing sucks. ;-)
> Something more like:
> http://warp.povusers.org/snaps/fract/
See, now, I actually prefer my colour choices. (Yours all seem to
alternate between black and a randomly-chosen colour. Looks suspiciously
like one of the colouring algorithms from Xaos, actually.) I guess it's
a matter of personal taste.
You seem to have done a better job of centering the images though. And
some of the regions you found are quite unusual and interesting...
--
http://blog.orphi.me.uk/
http://www.zazzle.com/MathematicalOrchid*
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> 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...)
>
I like the back cover.
Thibaut
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On Wed, 09 Jan 2008 09:42:02 +0000, Invisible <voi### [at] dev null> wrote:
>> and perhaps also the locations of the zooms.
>
>Hmm... Well since a finished fractal image = position + colour, you're
>basically saying the entire thing sucks. ;-)
I don't think that he is. To any one who has played with Fractint your images
are great but to someone who has spent a lot of time deep zooming they do not
look unique. Not that, that is a criticism of your work. I've not seen much
about Fractint recently and I hope that you revive an interest in it.
BTW I always ended up using the default pallet. I like it.
Regards
Stephen
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> 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Last I heard, FractInt is no longer actively maintained.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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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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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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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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>> 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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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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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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