  Geometric properties of the quasi-hyperbolic Szekeres models are discussed
and related to the quasi-spherical Szekeres models. Typical examples of shapes
of various classes of 2-dimensional coordinate surfaces are shown in graphs;
for the hyperbolically symmetric subcase and for the general quasi-hyperbolic
case. An analysis of the mass function $M(z)$ is carried out in parallel to an
analogous analysis for the quasi-spherical models. This leads to the conclusion
that $M(z)$ determines the density of rest mass averaged over the whole space
of constant time.
