  Quantum state transfer in a triangular domain of a two-dimensional,
equally-spaced, spin lat- tice with non-homogeneous nearest-neighbor couplings
is analyzed. An exact solution of the one- excitation dynamics is provided in
terms of 2-variable Krawtchouk orthogonal polynomials that have been recently
defined. The probability amplitude for an excitation to transit from one site
to another is given. For some values of the parameters, perfect transfer is
shown to take place from the apex of the lattice to the boundary hypotenuse.
