Fractal Geometry of Nature

[Pyrotex]

Originally Posted by Racoon

I love Pyro's posts and Attachment(s)...

So, Rac,
did you download the Mandelbrot Explorer and actually check it out?
Does anyone need instructions for using the MX?
And I am curious as to how BigDog is doing. Has he gotten his MX to work, yet?
Has anyone ELSE actually played with MX?

[...the sound of crickets in the distance...]

[TheBigDog]

Oh where Oh where
Has my Pyrotex gone
Oh where Oh where can he beeeee?

I am not as helpless as Polly Purebred, but I am struggling with this complex math!

I get what you told me in the last letter. Now I am struggling with how the iterations actually happen.

When I take c(0) and find c(1), I know what the values for a and b are for c(0). But what are the values for a and b for c(1). This stuff is about where I quit school and joined the carnival (figurativly).

The more I understand the more I am lost on this. I only need to build this thing one damn time and it will be out of my system!

Thanks for the help on this Pyro!

Bill

[Racoon]

Originally Posted by Pyrotex

So, Rac,
did you download the Mandelbrot Explorer and actually check it out?
Does anyone need instructions for using the MX?
And I am curious as to how BigDog is doing. Has he gotten his MX to work, yet?
Has anyone ELSE actually played with MX?

[...the sound of crickets in the distance...]

Yes I did Pyro!
Like I said.. You Da' man..

Thing goes on infinitely now..,
It's So Rad

Having Computer troubles right now..
This AI will be bouncing around terminals..

[TheBigDog]

I am getting close!

Originally Posted by Racoon

Poincares remark that " there are questions that one chooses to ask and other questions that ask themselves "....

Heres the discussion point: Dimension, Symmetry, and Dirvegence found in nature to have mathmatical principles behind them...

It talks about Euclidean Stuff...
Says " The homogenous distribution on a line, plane, or space has two very desirable properties. It is invariant under displacement, and it is invariant under change of scale. When we move on to Fractals, either invariance must be modified and/or restricted in its scope. Hence the best fractals are those that exhibit the Maximum of invariance."

Anyone have any ideas on Geometric function found in Nature?
How leaves form a uniform pattern, usually??

Racoon in reference to your quote here's something you might find interesting:

There's an article in the April 2003 Issue of Astronomy pg 52 describing the "Golden Ratio" phi Ф 'Discovered or created'? by Euclid…..It is a special number like pi ,in that it has a never ending, never repeating sequence.
It's beauty is " This ratio describes such divergent systems as seashells, galaxies, leaves."
I wanted to put a link in, but astronomy doesn't have one for that article. Here's a few others.
The first should be just what your looking for.

http://www.mcs.surrey.ac.uk/Personal/R.Knott/Fibonacci/fibnat.html

http://www.mcs.surrey.ac.uk/Personal/R.Knott/Fibonacci/whatsnew.html#multimedia

http://www.mcs.surrey.ac.uk/Personal/R.Knott/Fibonacci/fib.html

http://www.google.com/search?num=50&hl=en&lr=&q=+the+golden+ratio&btnG=S earch

[Turtle]

Originally Posted by chendoh

There's an article in the April 2003 Issue of Astronomy pg 52 describing the "Golden Ratio" phi Ф 'Discovered or created'? by Euclid…..It is a special number like pi ,in that it has a never ending, never repeating sequence.
It's beauty is " This ratio describes such divergent systems as seashells, galaxies, leaves."[/U][/COLOR][/URL]

Good call Chendoh on the fractal features of phi!
We have some Hypography threads on the topic as well:
Vesica Piscis--Real Sacred Geometry
Phi
Watching Phi Grow?

[TheBigDog]

Originally Posted by Pyrotex

So, Rac,
did you download the Mandelbrot Explorer and actually check it out?
Does anyone need instructions for using the MX?
And I am curious as to how BigDog is doing. Has he gotten his MX to work, yet?
Has anyone ELSE actually played with MX?

[...the sound of crickets in the distance...]

Behold! The Fractalator!!! The battle is over. I am victorious over math. Thank you Pyrotex for your wise council.

The Fractalator needs .Net Framework. That is all. You can explore fractals, and save your results.

Click around on the thing to see how it works. It is much easier to use than to write.

Good night now. I am exhausted.

Bill

[Racoon]

Originally Posted by TheBigDog

Behold! The Fractalator!!! The battle is over. I am victorious over math. Thank you Pyrotex for your wise council.

The Fractalator needs .Net Framework. That is all. You can explore fractals, and save your results.

Click around on the thing to see how it works. It is much easier to use than to write.

Good night now. I am exhausted.

Bill

[Sounds of uproarious applause!]
BigDog takes a bow
[crowd chants Encore!]

Rac can't seem to upload the Frigger. err the file.
having computer quirkiness

Good Job BD!

Thank You, Turtle...Racoon

[TheBigDog]

Originally Posted by Racoon

[Sounds of uproarious applause!]
BigDog takes a bow
[crowd chants Encore!]

Rac can't seem to upload the Frigger. err the file.
having computer quirkiness

Good Job BD!

Thanks Racoon. I am going to put out a 2nd version of the Fractalator. There are three things that I want to accomplish with the second release.

• Adding a feature to allow customization of the colors that are used. This will also set the number of iterations. So the function of the iterations field will change a bit.
• Add the ability to use more fractal formulas. Currently Mandelbrot only. Any other sets that people would like to see? I am open to suggestions!
• Tinkering with the idea of being able to save sets of Fractals in sequence so you can play them back like a movie.

I am open to suggestions and eager for feedback.

Bill