While fighting with the lighting problem, I have stumbled upon an interesting property of an Autodesk Material: Ambient Occlusion. What is this and what you may need it for you can read on Wikipedia: Ambient Occlusion.
Here is the results it gave on my big wooden ball:
|No Ambient Occlusion|
You do not see much difference, uh? ;)
Watch this animated gif:
Well, the Ambient Occlusion does not give much effect in my scene.
Maybe in some other conditions it will be more noticeable!
Material used for the ball: Autodesk Hardwood, beechwood_gunstock.png, default setting apart from Relief Pattern where Amount was changed to 3.7.