Ray Tracing: A Computer Graphics Project

So far so good, things are looking pretty spiffy. But there is still something lacking as far as lighting goes. Any ideas? There are no shadows! This must be fixed, we mush have shadows. So how do we do shadows? We cast a ray into the scene, it hits an object and from that hit point we cast another ray to all the lights in a scene. So for shadows we just add one more step, when we cast a ray from the hit point to all the lights in the scene we check to see if anything is between the hit point and the light. The blocked path from hit point to light is what causes shadows, since if we don't have a clear path to the light it doesn't contribute to the lighting of that hit point. Now that we have shadows this is what things look like: