step is to create a single structure enclosing the five individual
distances as a representative group.
difficulty is that the structure must maintain a proper correlation
between the five distances, depending on their individual sizes, on a
one-to-one and one-to-all basis.
a merging function that creates a convergence structure in which each
distance's representation is influenced by the other distances, and can
be moderated by scale values.
The key role
of the merging structure is to work on the five distances as a whole
and not as semi-individuals.