  In this work, we only use data on the unstable manifold to locate the
partition boundaries by checking folding points at different levels, which
practically coincide with homoclinic tangencies (HTs). The method is then
applied to the classic two-dimensional Henon map and a well-known
three-dimensional map. Comparison with previous results is made in the Henon
case and Lyapunov exponents are computed through the metric entropy based on
the partition, to show the validity of the current scheme.
