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External Edges Patterning Solution

  1. The class of problems.

    How many external edges on a "line of squares"
    of length n?

  2. Identifying several of the simplest problem.

    I1 = How many external edges on a 1x1 line?
    I2 = How many external edges on a 1x2 line?
    I3 = How many external edges on a 1x3 line?
    I4 = How many external edges on a 1x4 line?

  3. Solving the several simplest instances.

    Solution(I1) = 4
    Solution(I2) = 6
    Solution(I3) = 8
    Solution(I4) = 10

  4. Observing a pattern relating the instances to
    their solutions, and stating the pattern as a solution
    to the generic problem associated with the problem
    class.

    The number of external edges on a "line of squares"
    of length n is ( ( n * 2 ) + 2 ).