I'm having trouble abstracting in my mind the following problem. It seems like the solution should be simple, but it's not coming to me. I have a field of hexagons described by triangle tessellation patches. I need my shaders to be able to determine which part of the triangle patch belongs to which hexagon. See the following picture:
Is there a straightforward mathematical way to determine if a point (in barycentric coords) on the triangle is within the blue shaded area?