Here's some photos of the parts. It's basically the joinery hidden inside a miter, with nothing exposed. I'm not really sure, to be honest, that a 3-axis machine can do the undercut that would be necessary for blind dovetails because of the half-round that goes past the straight line cut.
If you could figure out a way to do it, though, I'd buy the software just to say I had the capability, even if I never used it.
Luke