An iterative array of sequential logic circuits (cells) is described, which can represent the motions of finite-sized rigid objects. Images of the objects are formed within the array, for example by a lens system and photocell matrix. Subsequently the images can be moved, together or independently, in response to external command signals. Any combination of rotation and combination can be induced, continuously and at any speed, so that all possible motions of objects in a particular plane can be represented. Depth-information can be attached to each image-point, so that three-dimensional space can also be represented. Each imagepoint can be moved in any direction, and its location is defined not only by the cell it occupies, but also within the cell: the array space is truly Euclidean, in contrast with the tessellation spaces of earlier arrays. Each image-point can be labelled: images can therefore be continually monitored, by treating the array as a randomaccess store with the cell labels as contents addresses. An application in production-line automation, is proposed, and relevance to the investigation of human and machine intelligence is suggested.