Whats your favourite Fractal set?

[RyanJ]

Come on people let the votes fly! One of the most fascinating things in mathematics to me, fractals. The real question is what set are your favourite?

 

If you like link to any examples on the net or post your own, its all good

 

Here is an example of my favourite made with Ultra Fractal:

 

http://standards.spiralmindsinc.com/Personal/Images/fav.png

 

Cheers,

 

Ryan Jones

[insane_alien]

Koch Snowflake. And not just cause it sounds like really cold genitalia, i think it looks cool. i remember trying to draw it as far as possible when i was younger and didn't understand the mathematical principles behind it. now, i'm older and don't understand the mathematical principles behind it.

[RyanJ]

Koch Snowflake. And not just cause it sounds like really cold genitalia, i think it looks cool. i remember trying to draw it as far as possible when i was younger and didn't understand the mathematical principles behind it. now, i'm older and don't understand the mathematical principles behind it.

 

OK honestly I can't think of a fratal I don't like... Fractals are just amazing things... snowflakes are nice too

 

Cheers,

 

Ryan Jones

[Daecon]

Is there a link where we can look at and compare all these different types of fractals, and how they're made, before we make up our mind?

 

I've only heard of the Mandelbrot one, so I can't really offer a fair opinion until I've seen the others...

[RyanJ]

Is there a link where we can look at and compare all these different types of fractals' date=' and how they're made, before we make up our mind?

 

I've only heard of the Mandelbrot one, so I can't really offer a fair opinion until I've seen the others...[/quote']

 

Hmm, good question.

 

http://en.wikipedia.org/wiki/Fractals

http://blog.yukonho.com/article.php?id=71

http://mathworld.wolfram.com/Fractal.html

 

And Google images should provide enough for you

 

If not post back and I'll post more links - or get a generator and try yourself

 

 

Cheers,

 

Ryan Jones

[Inspiration]

I can not honestly say i have seen many fractals, and the good ones (aka:not radically over-accentuated with colour) are hard to find. Though i do like the exhibit of teh "buddah" fractal in Wikipedia. And the "pythagorous tree" fractal generally creates a pretty nice image as well.

[RyanJ]

I'll see if I can find some colourful ones, rightnow I'm limited to the good oes I uploaded here: http://standards.spiralmindsinc.com/Personal/Images/Fractals/

 

I'll see if I can make some more later today

 

Cheers,

 

Ryan Jones

[clarisse]

I really like this one

 

[RyanJ]

OOO, nice. Looks like a fractal version of an image I saw called the known universe - thats pretty neat.

 

Cheers,

 

Ryan Jones

[Halucigenia]

Barnsley fractals

From Fractals Everywhere by Michael Barnsley

It appears to be a set of the common fractals Sierpinski, Koch, and Castle though I have not yet found any Dragons

 

The strange thing is I never find it in any fractal generator programs as standard, I have always had to create the formula myself, and it's a simple enough formula.

 

Here's the formula if anyone wants to investigate it.

IF (real(z) < 0)

z = (z+1)/conj(Pixel)

ELSE

z = (z-1)/Pixel

 

Here's the full thing:-

 

Here's a zoom:-

Very cellular and organic looking I think.

 

I have made some wonderful variations on it.

Barnsley/Mandelbrot hybrids I call them.

Here's one:-

I call it the Victorian Octopus, Sepia Squid or Budda on a Paisley Flying Carpet (can you see it?)

[RyanJ]

I do like the second one, its very nice!

 

Cheers,

 

Ryan Jones

[Keki516]

what is a fractal set? forgive my ignorance

 

nevermind; dictionary.com rocks

[chemfreak]

what are these?

[RyanJ]

what are these?

 

Fractals, http://mathworld.wolfram.com/Fractal.html gives a good definition

 

Cheers,

 

Ryan Jones