/sci/ - Science & Math

Here is something I discovered through a randomized program I wrote. At first, I saved the picture but forgot the algorithm and it took me a long time to figure out how to generate it again.

This picture is what you get when you plot [math]Wt(\vec{x}\ XOR\ \vec{y})[/math]

where "[math]Wt[/math]" is the hamming weight and the pixels are colored based on the PARITY of the result.

I have seen plots like these before in the literature. You can see that it really only depends on the parity of [math]Wt(3*\vec{x})[/math], which is a single variable boolean function. I suspect that plotting [math]f(\vec{x^y})[/math] where f is an arbitrary boolean function always generates a pretty picture, so it isn't that special