  We propose a hierarchical architecture for building "logical" Majorana zero
modes using "physical" Majorana zero modes at the Y-junctions of a hexagonal
network of semiconductor nanowires. Each Y-junction contains three "physical"
Majoranas, which hybridize when placed in close proximity, yielding a single
effective Majorana mode near zero energy. The hybridization of effective
Majorana modes on neighboring Y-junctions is controlled by applied gate
voltages on the links of the honeycomb network. This gives rise to a tunable
tight-binding model of effective Majorana modes. We show that selecting the
gate voltages that generate a Kekul\'e vortex pattern in the set of
hybridization amplitudes yields an emergent "logical" Majorana zero mode bound
to the vortex core. The position of a logical Majorana can be tuned
adiabatically, \textit{without} moving any of the "physical" Majoranas or
closing any energy gaps, by programming the values of the gate voltages to
change as functions of time. A nanowire network supporting multiple such
"logical" Majorana zero modes provides a physical platform for performing
adiabatic non-Abelian braiding operations in a fully controllable manner.
