  We present an ion-lattice quantum processor based on a two-dimensional
arrangement of linear surface traps. Our design features a tunable coupling
between ions in adjacent lattice sites and a configurable ion-lattice
connectivity, allowing one, e.g., to realize rectangular and triangular
lattices with the same trap chip. We present detailed trap simulations of a
simplest-instance ion array with $2\times9$ trapping sites and report on the
fabrication of a prototype device in an industrial facility. The design and the
employed fabrication processes are scalable to larger array sizes. We
demonstrate trapping of ions in rectangular and triangular lattices and
demonstrate transport of a $2\times2$ ion-lattice over one lattice period.
