Our wonderful world of fractals!
admin November 17th, 2007
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Brace yourselves, dearest readers, it’s time for you to learn something new. I don’t think I have ever brought up the fractals topic, now have I? Well it’s about time I say! You see, considering its somewhat elusive-mathematical nature, providing a clear definition of what a fractal really is about doubtlessly represents a daunting task, but I’ll do my best to present you with an informed opinion. First and foremost, a fractal is essentially a mathematical object which exhibits quite a fascinating property, which I think be confortably described as a kind of self-recurring tendency.
The cool thing about fractals is they aren’t actually graphics - I believe they’re actually a mathematical equation, which can be rendered into intricate irregular geometric representations of great beauty, which are simply grat for staring at - and even playing with, as we shall be demonstrating subsequently!
Before I engage deeper into my layman hands-on approach to illustrate exactly why fractals are worth looking into, I might as well take a break for commercial - actually, a break aimed at exhibiting proof of display. For starters, I’ll present you with renderings of one of my favourite specimens out there, which is usually referred to as the Mandelbrot set. I don’t know about yourself, but I think this is really a mathematical work of art. Isn’t this a beauty?
Now for a proper gramatical approach that should allow us to shed further light on this semiotic colossus, the fractal. I figured it would be interesting to provide you with the top 5 results that I’ve had fetched through asking google to succintly “define:fractal”:
www.cybernet1.com/hcs/glossary.htm
www.howell1964.freeserve.co.uk/MSc/FIC/FIC_B.htm
A self-similar structure whose geometrical and topographical features are recapitulated in miniature on finer and finer scales.
www.esse.ou.edu/glossary_st.html
Theoretical considerations aside, the important thing to remember is that 1) fractals are great for looking at 2) they’re quite fascinating and though-provoking if you look at them in the right way 3) they’re valuable meditation tools - but that’s a whole different story which may perhaps be scrutnized a future slice. For now, I’ll leave you with a resourceful webpage featuring a host of toys which will provide you with hours of reflextion and amusement, should you look at them in the right way. This is a diverse collection of stereogram generation, rendering and exploration tools which will get you on the way to confidently thread your own path down our wonderful fractal world!
To wrap it up real nice and fancy, I’ll even add a couple groovy fractal videos, which will probably give you a hint of the fun and bewilderment lurking ahead. Have fun researching, and if you can think of anything that will add up to this article, make sure to let me know! Also, if you want to help, it’s as easy as social bookmarking this article. That will motivate me to keep writing more in-depth articles such as this. Thanks kindly, keep smilin’!
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