A method, system, and computer-readable storage medium are disclosed for minimizing tessellation of surfaces. A first plurality of polygons may be generated, wherein the first plurality of polygons are adjacent to a plurality of boundaries of a surface. Each of the first plurality of polygons comprises at least one outside edge approximating a straight line within a first flatness tolerance. A second plurality of polygons may be generated, wherein the second plurality of polygons are on the interior of the surface. Each of the second plurality of polygons comprises a plurality of inside edges approximating the straight line within a second flatness tolerance. The first flatness tolerance may be smaller than the second flatness tolerance.