1. A data search system comprising: a data acquisition means for acquiring results of a data search based on certain search criteria; an image processing means for representing, as a set for each of said search criteria, the results of said data search acquired by said data acquisition means and converting each set to an n-polygonal image, where n is a natural number, and having an area corresponding to the magnitude of element count of each set, wherein said image processing means derives said n-polygonal image by repeating a convergent calculation for drawing under certain restricting parameters, wherein said convergent calculation is initiated under restricting parameters where a convex polygon appears, and if said convergence does not appear as a convex polygon after repeating a certain number of times, the restricting parameters are switched so that a concave polygon appears; and a display control means for causing each n-polygonal image converted by said image processing means to be displayed on a predetermined display device, wherein each of said multiple n-polygonal images is displayed within the same display region while maintaining a relative relationship with other n-polygonal images based on said search criteria.