Mapping concerns the connection between gestures, or structures and audible results in a musical performance or composition. While this is of intense interest to performers of new instruments and instrument designers, it has also been an area of interest for some composers. Algorithmic composition is sometimes the process of imagining a gesture or structure - perhaps physical or visual - and then applying a mapping process to turn that ‘gesture’ of the conceptual domain into sound which may display the original conception in some way. This article looks at mapping from the point of view of algorithmic composition, particularly where persistence is an issue, such that the gesture (conceptual domain) is embodied and perceptible in the musical result.