External Faces Patterning Solution

1. The class of problems.

   How many external edgesfaces on a "plus of cubes"
   of height (or width) n, where n is odd?

2. Identifying several of the simplest problem.

   I1 = How many external faces on a "plus" of height 1?
   I3 = How many external faces on a "plus" of height 3?
   I5 = How many external faces on a "plus" of height 5?
   I7 = How many external faces on a "plus" of height 7?
   

3. Solving the several simplest instances.

   Solution(I1) = 6
   Solution(I3) = 22
   Solution(I5) = 38
   Solution(I7) = 54
   

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 faces on a "plus of cubes"
   of height (or width) n (odd) is ( 6 + ( 16 * ( n / 2 ) ) ).