How many squares, using the points as their vertices, can be drawn within a grid of: 1. 6 x 6 points, 2. 7 x 7 points and 3. n x n points? | In this 3 x 3 array: . . . . . . . . . there are 6. The 5th envelopes them all and the 6th uses the outer midpoints of the grid as its vertices. |