So I came up with this: $eq=round(atan($x/$y)*cos($y*i)*sin($x*$i)*sqrt($x*$y)/M_PI);
And this was the result:
You can see the now familiar patterns from The Squares already but with some interesting curvature:


This blog is a collection of generated images derived from equations mapped onto an ulam spiral. I got the number spiral bug from mofostopheles and have been exploring the pattern results ever since. Algorithms programmed using PHP's GD image library.
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