  In this work we exhibit examples of $5$-manifolds that are not homeomorphic
to any leaf of any $C^2$ codimension one foliation of any compact $6$-manifold
but are homeomorphic to (proper) leaves of some $C^1$ codimension one
foliations and also to (proper) leaves of some $C^\inf$ codimension $2$
foliations. The topology of these manifolds is characterized by Sturmian-like
sequences.
