  We describe many different realizations with integer coordinates for the
associahedron (i.e. the Stasheff polytope) and for the cyclohedron (i.e. the
Bott-Taubes polytope) and compare them to the permutahedron of type A_n and B_n
respectively.
  The coordinates are obtained by an algorithm which uses an oriented Coxeter
graph of type A_n or B_n respectively as only input and which specialises to a
procedure presented by J.-L. Loday for a certain orientation of A_n. The
described realizations have cambrian fans of type A and B as normal fans. This
settles a conjecture of N. Reading for cambrian fans of these types.
