1. A graphics image generation apparatus, comprising: element arrangement means for, based on hierarchical data, arranging figures which indicate constituent elements on a lower hierarchy level than a constituent element on a predetermined level of the hierarchical data in a figure region which indicates the constituent element on the predetermined level; and arrangement control means for generating a graphics image of the hierarchical data by causing said element arrangement means to recursively perform arrangement of figures for each hierarchy level from a lower hierarchy level to a higher hierarchy level of the hierarchical data; wherein said arrangement of figures is accomplished by a first step of establishing the center point of one of said figures and two further points distant from said one figure to serve as vertices for construction of one triangle of a triangle mesh, and a second step of locating a center point of said one triangle to enable a positioning of a further one of said figures along a line connecting the center point of said one triangle with a vertex of said one triangle.