Wednesday, April 13, 2011

Order and Chaos

There's a virulent, choking sandstorm today. This has meant that attendance is virtually zero; the only poor saps required to show up are, of course, ourselves. The result is that nothing at all gets done. Not a halfway house where classes are sufficiently quorate to attempt normalcy, it's an all or nothing event, a 1 or a 0, in effect.
The difference between order and chaos is minute. Having a few moments, therefore, I wondered whether it might be possible to generate a fractal in Excel based on a Sierpinski Triangle - the basic idea is quite straightforward,

I tried one, then fiddled with it a bit - this was the result. The simplest way turned out to be to generate a Pascal's triangle then colour in the 1's. leaving the 0's blank using a +MOD operator to generate  0 or 1 based on a simple rule.
Changing the boundary conditions by less than 0.1% caused the entire structure to collapse and the pattern disappeared completely. H'm... Next project - a Mandelbrot set from scratch.
And now for the good news. It's 8:30 in the morning and I'm going home.


  1. Very pretty. See comment on previous post.

  2. P.S. How nice to have the day off. Everyone stayed home from my place of employment as well. We could all have done lunch. I think Mr. Hyperbole might even have made it. We'll have to do that next time there's a general "dust panic."

  3. we all could have done with today off as well...


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