  A meander of order n is a simple closed curve in the plane which intersects a
horizontal line transversely at 2n points. (Meanders which differ by an isotopy
of the line and plane are considered equivalent.)
  Let Gamma_n be the Cayley graph of the symmetric group S_n as generated by
all (n choose 2) transpositions. Let Lambda_n be any interval of maximal length
in Gamma_n; this graph is the Hasse diagram of the lattice of noncrossing
partitions. The meanders of order n are in one-to-one correspondence with
ordered pairs of maximally separated vertices of Lambda_n.
