If you're doing boolean joins, it's easy to get extra vertexes that're really hard to see without zooming way in. trueSpace often doesn't like to do boolean operations on objects that're perfectly aligned along edges or faces.
IF a mod would do a Sticky thread or better yet, a trueSpace subforum, I'd be happy to post stuff on how to do stuff in tS3.2 that's not normally possible using just the tools available in the program's interface.
I posted a mini-tutorial a while back on how to triangulate a single face in tS3. It takes a few steps but gets the same results as the Add Edge tool in later versions.
tS3.2 tends to spaz out often, usually at the worst moment. SAVE OFTEN! When it goes wonky, 99.999% of the time it also flushes its undo buffer.
Some of my olde stuff I did with older versions of trueSpace.
http://members.aceweb.com/gregg1/oldweb/As for the jagged edges on the render, he needs to enable anti-aliasing. To enable that, rightclick the Render group, that's between the Display group and the View group, down in the bottom right corner. (Unless you're one of those top-menu weirdos...

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