Aspects include systems, methods, and media for implementing methods relating to increasing consistency of results during intersection testing. In an example, vertexes define edges of primitives composing a scene (e.g., triangles defining a mesh for a surface of an object in a 3-D scene). An edge can be shared between two primitives. Intersection testing algorithms can use tests involving edges to determine whether or not the ray intersects a primitive defined by those edges. In one approach, a precedence among the vertexes defining a particular edge is enforced for such intersection testing. The precedence causes an intersection tester to always test a given edge in the same orientation, regardless of which primitive defined (at least in part) by that edge is being intersection tested.