3D collisions

["Mike" <Lvn4Js@prodigy.net>]

I'm developing a 3D engine but I just can't think of a way to get proper collision detection (i.e. not using objects aligned with the axis or anything like that).  I've thought about a few ways but they're way too slow.  Should I use like the vertices or something or does anyone have a better idea of how I can do it?

 

Please help if you can.

 

Thanks in advance.