Question

Let’s change the Legal Moves on the square grid. For each change in the rules, find a basic unit

and justify your answer.

(a) Suppose that the only vertical translations allowed are multiples of two (including 0 and

negatives). Find a basic unit for this new definition of Legal Moves.

(b) Suppose that ONLY horizontal translations are allowed. Find a basic unit.

(c) Suppose that we allow rotation by quarter turns around the center of a square (in addition to

translations). Find a basic unit.