17 into 15 best min fragment found: 21/4
  Cut up 17 sticks of length 15 like this:
    1 x (15/2 + 15/2)
    4 x (29/4 + 31/4)
    2 x (13/2 + 17/2)
    4 x (23/4 + 37/4)
    2 x (11/2 + 19/2)
    4 x (21/4 + 39/4)
  Reassemble as 15 sticks of length 17 like this:
    1 x (17/2 + 17/2)
    4 x (31/4 + 37/4)
    2 x (15/2 + 19/2)
    4 x (29/4 + 39/4)
    2 x (11/2 + 23/4 + 23/4)
    2 x (21/4 + 21/4 + 13/2)