12. (a) The delay plot with delay 1 gives three points: (1,2), (2,3), and (3,1).

(b) The delay plot with delay 2 gives three points: (1,3), (2,1), and (3,2).

(c) The delay plot with delay 3 gives three points: (1,1), (2,2), and (3,3).

(d) The delay plot from an n-cycle always gives n points. If the delay is a
multiple of the cycle length, the delay plot points will lie on the line
x_{n+1} = x_{n}.

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