  Focusing on examples of Majorana zero modes on the corners of a
two-dimensional lattice, we introduce a method to find parameter regions where
the Majorana modes are perfectly localized on a single site. Such a limit
allows us to study the dimerization structure of the sparse bulk Hamiltonian
that results in the higher-order topology of the system. Furthermore, such
limits typically provide an analytical understanding of the system energy
scales. Based on the dimerization structure we extract from the two-dimensional
model, we identify a more general stacking procedure to construct Majorana zero
modes in arbitrary corners of a $d$-dimensional hypercube, which we demonstrate
explicitly in $d\leq3$.
