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:
I got around to adding some more configuration to my algorithm last night. The default settings start x,y at (0,0). Now we can put whatever offset we want. So if we want to see what setting $i=0.025 starting at $x starts at 700 we now can do just that. Here is the result:
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