I'm sorry, but I don't have a picture for this problem. I hope I can
describe it clearly.
Suppose you have two cubes, one 3" on a side, and the other slightly
larger, say like 3.1" on a side.
The problem is to drill a hole through the SMALLER cube such that the
larger cube can pass through the smaller cube, through the hole.
If you take the smaller cube and hold it between your index finger and
thumb, holding it at opposite vertices (the major diagonal of the cube),
you can see but twirling the cube to the right angle that from this
perspective, it's cross-section is a hexagon.
It just happens that the hexagonal cross-section of a 3" cube is in fact
large enough to drill a square hole through it that would pass a 3.1"
So my problem ... HOW do I possibly construct this beast? What I need
to do is take a cube and drill a hole through it at this strange angle.
Then I need to "square" the hole, making it clean enough to let the
larger cube pass through it.
It's a really neat math construct that is great to show to high school
kids. Anyone have any ideas how I would approach making this?