  A topological mating is a map defined by gluing together the filled Julia
sets of two quadratic polynomials. The identifications are visualized and
understood by pinching ray-equivalence classes of the formal mating. For
postcritically finite polynomials in non-conjugate limbs of the Mandelbrot set,
classical results construct the geometric mating from the formal mating. Here
families of examples are discussed, such that all ray-equivalence classes are
uniformly bounded trees. Thus the topological mating is obtained directly in
geometrically finite and infinite cases. On the other hand, renormalization
provides examples of unbounded cyclic ray connections, such that the
topological mating is not defined on a Hausdorff space.
  There is an alternative construction of mating, when at least one polynomial
is preperiodic: shift the infinite critical value of the other polynomial to a
preperiodic point. Taking homotopic rays, it gives simple examples of shared
matings. Sequences with unbounded multiplicity of sharing, and slowly growing
preperiod and period, are obtained both in the Chebychev family and for
Airplane matings. Using preperiodic polynomials with identifications between
the two critical orbits, an example of mating discontinuity is described as
well.
