With a sampling rate of 2 on the diagonal, you'd have a rate of 2.828 on the axes, with a square grid (2 * sqrt(2)). Unless I'm missing something. Agreed abou

With a sampling rate of 2 on the diagonal, you'd have a rate of 2.828 on the axes, with a square grid (2 * sqrt(2)). Unless I'm missing something. Agreed about the complications of the hexagonal grid. We make implicit assumptions everywhere. Though I'm not sure they are insurmountable for some purposes; with graphics APIs like OpenGL, texture coordinates and samplers could be using a hexagonal grid relatively transparently. That would allow use of hexagonal displays even if the texture data is square.