A system, method and article of manufacture are provided for decomposing surfaces for rendering purposes during computer graphics processing. Initially, an interior mesh of primitives is defined in a surface to be rendered. Next, a plurality of surrounding meshes is defined along sides of the interior mesh. The exterior sides of the surrounding meshes each include a plurality of equally sized segments and at least one fractional segment that is a fraction of the equally sized segments. With this configuration, a pattern of triangles is used that permits the number of triangles to be varied continuously from frame to frame while accommodating incremental evaluation techniques such as forward differencing without visual artifacts such as popping.