29 into 27 best min fragment found: 37/4
  Cut up 29 sticks of length 27 like this:
    1 x (27/2 + 27/2)
    4 x (53/4 + 55/4)
    2 x (25/2 + 29/2)
    4 x (47/4 + 61/4)
    2 x (23/2 + 31/2)
    4 x (45/4 + 63/4)
    2 x (21/2 + 33/2)
    4 x (39/4 + 69/4)
    2 x (19/2 + 35/2)
    4 x (37/4 + 71/4)
  Reassemble as 27 sticks of length 29 like this:
    1 x (29/2 + 29/2)
    4 x (55/4 + 61/4)
    2 x (27/2 + 31/2)
    4 x (53/4 + 63/4)
    2 x (25/2 + 33/2)
    4 x (47/4 + 69/4)
    2 x (23/2 + 35/2)
    4 x (45/4 + 71/4)
    2 x (19/2 + 39/4 + 39/4)
    2 x (37/4 + 37/4 + 21/2)