Case 1:  The beam is reflected from 2 mirrors, leaving the last mirror
         at (5.00,3.00) with an angle of 180.00 degrees.

Case 2:  The beam is reflected from 1 mirror, leaving the last mirror
         at (6.00,0.00) with an angle of 53.13 degrees.

Case 3:  The beam is reflected from 1 mirror, leaving the last mirror
         at (5.00,0.00) with an angle of 60.00 degrees.

Case 4:  The beam is reflected from 5 mirrors, leaving the last mirror
         at (1.00,9.00) with an angle of 180.00 degrees.

Case 5:  The beam is reflected from 23 mirrors, leaving the last mirror
         at (-1.10,9.98) with an angle of 23.96 degrees.

Case 6:  The beam is not reflected.