  In this letter we study soliton crystals in the $(2+1)$-dimensional analogue
model of the $(3+1)$-dimensional Adkins--Nappi model of nuclear physics. The
baby $\omega$-Skyrme model studied here is an $O(3)$ nonlinear $\sigma$ model
coupled to a massive vector meson, the $\omega$-meson. Using recently developed
methods in the $(3+1)$-dimensional $\omega$-Skyrme model we are able to
construct soliton crystals in this $(2+1)$-dimensional baby $\omega$-Skyrme
model. The resulting crystals form a hexagonal lattice structure and are
qualitatively and quantitatively similar to crystals observed in the standard
baby Skyrme model.
