Do you have any manipulatives your child could use to build 2-d or 3-d figures so that he would have an object to contemplate rather than a drawing?

There are kits like Zome that are specifically for math, but other building systems might also help -- KNex, maybe, or even Tinker Toys.

There's also a computer program called Geometer's Sketchpad that allows the user to create and rotate shapes; I don't know whether there are any similar programs online that are free, but it might be worth googling.