We discuss a joint work with Wiesław Kubiś on a specific way of constructing structures of size $\aleph_1$ using finite approximations, namely by organising the approximations along a simplified morass. We demonstrate a connection with Fraïssé limits and show that the naturally obtained structure of size $\aleph_1$ is homogeneous. Moreover, this is preserved under expansions, which leads us to a partial answer to a question of Bassi and Zucker. We give some examples of interesting structures constructed, such as the homogeneous antimetric space of size $\aleph_1$. Finally, we comment on the situation when one Cohen real is added.