23 into 3: min fragment 23/16   [v1-66-g4e22cc3]
  Cut up 23 sticks of length 3 like this:
    6 x (3)
    16 x (25/16 + 23/16)
    1 x (3/2 + 3/2)
  Reassemble as 3 sticks of length 23 like this:
    2 x (3 + 3 + 3 + 25/16 + 25/16 + 25/16 + 25/16 + 25/16 + 25/16 + 25/16 + 25/16 + 3/2)
    1 x (23/16 + 23/16 + 23/16 + 23/16 + 23/16 + 23/16 + 23/16 + 23/16 + 23/16 + 23/16 + 23/16 + 23/16 + 23/16 + 23/16 + 23/16 + 23/16)