Automatic layout of items along an embedded one-manifold path

Abstract

The coordinates for laying out visual items in two-, three-, or n-dimensional space along an embedded one-manifold or path are calculated and coordinates are generated for placement of the items in a container. A one-manifold may be continuous, discontinuous, be contained entirely within a container or extent beyond a container. The one-manifold may be defined by a set of parameters defining a function, formula or set of points. The container may be a two-dimensional, three-dimensional, or n-dimensional container. Such a mechanism may be employed by a graphics application and may determine the location or positioning of an object or item. The object or item may be one of a set of objects or items. In response to receiving a set of parameters defining a one-manifold, the one-manifold may be embedded within a container. In response to receiving a set of parameters describing aspects of the object or item to be placed within the container, a set of x and y or x, y and z co-ordinates may be generated, which may be sent to a standard graphics interface for display.