<div>Oh.. it's totally a fractal-- it's obviously self-similar at many levels of magnifications. </div>
<div>You can't necessarily put an equation on it, that would be able to draw out a the exact same patterns each time-- the initial conditions would be crazy hard to replicate ..</div>
<div>But equations like the logistic are really cool to play with to see the predictable unpredictability of what happens when initial conditions for a system become "unstable"-- <br><a href="http://www.pha.jhu.edu/~ldb/seminar/logdiffeqn.html">http://www.pha.jhu.edu/~ldb/seminar/logdiffeqn.html</a> </div>
<div><br>I'm getting me a t-shirt---"Period Three Implies Chaos"</div>
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<div class="gmail_quote">On Fri, Jun 5, 2009 at 7:56 AM, X-otic Computer Systems of San Antonio <span dir="ltr"><<a href="mailto:xcssa@xcssa.org">xcssa@xcssa.org</a>></span> wrote:<br>
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<div class="im"><br>X-otic Computer Systems of San Antonio wrote:<br>> On Jun 5, 2009, at 6:47 AM, X-otic Computer Systems of San Antonio<br>> wrote:<br>><br>><br>>> Do scorch marks on particle board actually count as fractals? I<br>
>> thought<br>>> fractals were consistent in their repetition throughout. Just<br>>> wondering<br>>> before I go to work, Dennis in Victoria<br>>><br>><br>> Real world fractals (as opposed to mathematical ones) have a limit at<br>
> which they stop being fractal. If nothing else, the size of an atom<br>> is a limit to how far you can go.<br>><br>> What really makes a fractal a fractal is self-similarity at different<br>> magnifications. And the right side of 100_0527.jpg definitely has a<br>
> fractal branching structure.<br>><br>> - Bruce -<br>><br><br></div>The left part is the "trial and error" part where there sometimes was<br>too much water or not enough so to say. It also had some help with some<br>
extra strands from the wire lying on the board. So let's disregard the<br>left side.<br><br>The right one is done without any wire strands and relied only on<br>getting the amount of moisture correct...<br>Is it a fractal? Sure looks like one to me...<br>
Is my theory of the moisture acting as a ground plane correct? I have no<br>idea...<br><br>Maybe a presentation at the next XCSSA meeting... ;-)<br><br>/Fredrik<br>
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