One of the best write-ups on dithering that I've seen so far! I worked on the b&w dithering for Return to Dark Castle.

We wanted to use Atkinson dithering, but it was hard to do in a shader because of how neighboring pixel values trickle into each other, and I was super stressed and tired at the time. I don't think it occurred to us to pin the pattern to the offset of the scene, so I think there is twinkling on scrolling levels like the catacombs and helicopter pack. But maybe we did? I wish I could remember. Anyway, kudos!