Supramolecular architectures provide a reproducible template on which surficial processes can be studied. We consider the irreversible reaction A + B -> C where B is a stationary reaction center and A is a coreactant diffusing on a finite, discretized d = 2 dimensional surface of a supramolecular assembly. A lattice-statistical model is developed to quantify how the reaction efficiency changes when the template is planar, Euler characteristic ohm = 0, or wrapped on the surface of a d = 3 host, ohm = 2. We find that for aperiodic or regular surfaces of finite spatial extent, dispersed ohm = 2 assemblies better optimize surficial reactions than ohm = 0 planar hosts. (C) 2012 Elsevier B.V. All rights reserved.