Amendments: - The formula for dx, dy, dz was slightly off. The first offset is -S/2 and the second offset is (S/2) - 1 - Triagonal Wall was the wrong term. I should of said Hexagonal Wall. If you take a cube and rotate its yaw, pitch and roll 45deg each and flatten the image, you get a hexagon. I guess you could say Minecraft has hidden hexagonal tiling. - There might be an alternative method here involving two overlapping sightlines instead of using the empirically derived number, but if I were to pursue this it would be an entirely separate video.