3D Intersection - Plane-Box

[npruehs]

Implement a plane-box intersection test with the following signature:

public static bool Intersects(this PlaneF plane, BoxF box)

Call that method from

public static bool Intersects(this BoxF box, PlaneF plane)

If you can, provide an overload with an out parameter containing the intersection point(s).

Write at least one unit test illustrating your solution, and/or add any reference links as comments.