More monadic art (fractal outtakes)

One fun thing about drawing with a computer is that you can make much more interesting mistakes than you can by hand. A human will quickly realize something is wrong with the algorithm and stop. But a computer will bravely repeat the same mistake, say, 8^6 times.

Here are a couple of my favorite “outtakes” from the monadic fractal project I’ve been blogging about recently.  Believe it or not, this was supposed to be the Sierpinski carpet:

Screenshot from 2017-06-26 18-21-47

There was a tiny typo in the function that replicates squares.  This is drawn entirely with quadrilaterals, though most are degenerate.  It was a bit shocking at first to see this output instead of the Sierpinski carpet I was expecting, but I quite like the simultaneously tousled and yet perfectly 4-fold rotationally symmetric look.

And then there’s this bunch of squares:


I miscalculated the scaling factor for the fractal I was trying to generate, and got squares that were just slightly too big.  Still, my incorrect scaling factor turned out to be an interesting one, and the overall effect is not bad.

I wonder what other art works out there started out by making interesting mistakes.


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