Imagine a bitmap image look at one scan line through it. Now if our bitmap were determined by a sufficiently deterministic 1-D cellular-automaton then our one

Imagine a bitmap image look at one scan line through it. Now if our bitmap were determined by a sufficiently deterministic 1-D cellular-automaton then our one scan-line would determine the rest of the picture. But if the bitmap was actually a 2-d picture drawn by an artist who had some freedom of choice, but also was constrained by some geometrical rules, then our scanline would not determine the picture, though it would correlate with other pixels. Yet the entire picture is still just as real as the scan-line we picked.