In earlier work, it was found that the edges of a complete graph can very nearly form a radially symmetric field at long distance in at 2D and 3D space if the number of graph vertices is great enough. In this work, it is confirmed that the edges of a complete graph can also very nearly form a radially symmetric field in closed 2D and 3D space of constant positive curvature if the graph is small compared to the entirety of the space in which it lives and if the number of graph vertices is great enough.