Alex Y
I think I have seen this one sometime in the past, but can't remember exactly how it works. Seems that you need to make slanted cuts. I envision one cut creating four pieces by taking off the top of one side before entering the hole, then taking off the bottom of the opposite side. But I don't think you can create four such cuts that all intersect as needed to make 4^4 pieces. But my brain is tired thinking about it!

Anyone else build on this? (unless Bill says it is off-track)