29 into 15 best min fragment found: 16/3
  Cut up 29 sticks of length 15 like this:
    3 x (22/3 + 23/3)
    3 x (20/3 + 25/3)
    3 x (19/3 + 26/3)
    1 x (6 + 9)
    2 x (17/3 + 28/3)
    17 x (16/3 + 29/3)
  Reassemble as 15 sticks of length 29 like this:
    2 x (29/3 + 29/3 + 29/3)
    3 x (16/3 + 20/3 + 22/3 + 29/3)
    3 x (16/3 + 19/3 + 23/3 + 29/3)
    1 x (16/3 + 6 + 25/3 + 28/3)
    2 x (16/3 + 17/3 + 25/3 + 29/3)
    1 x (16/3 + 16/3 + 9 + 28/3)
    3 x (16/3 + 16/3 + 26/3 + 29/3)