  Local topological markers are effective tools for determining the topological
properties of both homogeneous and inhomogeneous systems. The Chern marker is
an established topological marker that has previously been shown to effectively
reveal the topological properties of 2D systems. In an earlier work, the
present authors have developed a marker that can be applied to 1D
time-dependent systems which can be used to explore their topological
properties, like charge pumping under the presence of disorder. In this paper,
we show how to alter the 1D marker so that it can be applied to quasiperiodic
and aperiodic systems. We then verify its effectiveness against different
quasicrystal Hamiltonians, some which have been addressed in previous studies
using existing methods, and others which possess topological structures that
have been largely unexplored. We also demonstrate that the altered 1D marker
can be productively applied to systems that are fully aperiodic.
