  The k-filtering/wave telescope method has been successfully applied to the
four-spacecraft measurements from Cluster II and MMS, revealing the
four-dimensional power spectral density $\textrm{PSD}(\omega, \mathbf k)$. As
the number of spacecraft within a constellation increases, the geometry becomes
more complicated, and it is harder to find the first-Brillouin-like zone, since
we cannot use known formulas to calculate the geometry of the zone. To our
knowledge, a quantitative study on the aliasing effects as well as the geometry
of the first-Brillouin-like zone for the constellation with more than 4
spacecraft has not been proposed yet. Herewith we provide a method to estimate
and compare the geometry of the first-Brillouin-like zone in multi-spacecraft
constellations. The corresponding array of reciprocal lattice in the wavevector
space forms the Brillouin zone. We set the preset PSDs conforming to the
``slab-only' and ``slab + 2D' patterns as the benchmark, and compare them with
the reconstructed PSDs using 4, 5, and 9 virtual spacecraft. Our results
validates the estimation of the Brillouin-like zones. The method may provide a
constraint of aliasing effects. Our proposed method may be useful for the
design and analysis of future exploration sessions with multi-spacecraft
constellation.
