Cool thinking! If we have an infinite line of pebbles but don't assign identities to any pebble then our system could be defined as orderly but simple.
If on the other hand as you described we assigned an entirely distinct identity to every pebble in the infinite system it could be defined complex but chaotic.
By using a number base and encoding every pebble we split this situation but still have to deal with some chaos and simplicity so that we can achieve order and complexity.
I reckon doughnut base, yum