Cellular Automata’s geometrical aspects:

Cellular automata can build geometry through simple or complex patterns and repetitions. Rules specifiy relationships of lines/curves/angles and how they can change positions or orientations. The sequence can become so complicated that its outcome can’t be predicted. Simple shapes are displaced and repeated in different ways to develop new geometrical forms that wouldn’t be possible by hand, or wouldn’t be obtainable though a regular/identifiable pattern. Although, if a complex sequence was run long enough couln't there be a point when every sequence begins to become a recognizable pattern?