Fair warning that this wasn't done by hand per-se, but I did write the code to create it.
So in this case we take a grid of coordinates, from (-1, -1) to (1, 1) and centered at (0, 0). We take the absolute value for each coordinate, which makes all negative coordinates positive and causes the mirroring effect about each axis. We then pass each coordinate through a noise function (in this case a multi fractal noise function) which takes a coordinate and yield a value bet
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