This report describes The Metasurface – a mapping interface supporting interactive design of two-to-many mappings through the placement and interpolation of parameter snapshots on a plane. The Metasurface employs natural neighbour interpolation, a local interpolation method based on Voronoi tessellation, to interpolate between parameter snapshots. Compared to global field based methods, natural neighbour interpolation offers increased predictability and the ability to represent multi-scale surfaces. An implementation of the Metasurface in the AudioMulch software environment is presented and key architectural features of AudioMulch which facilitate this implementation are discussed. Keywords Interpolation, Mapping, High-level Control, User Interface Design, Design Support, Computational Geometry