Actually, having seen the picture of that mantis shrimp, picking it up is the last thing on my mind. Some things you just have to admire from afar and that's the end of it. I'm not so sure I'd go and call it beautiful...compellingly terrifying might be more accurate. Nonetheless it's an amazing creature.
Safe to say vivipary is a fairly obscure term in most circles; I've never once heard it used to describe our own method of procreation. But a creature of this class wouldn't seem capable of it.
...but then, something this ancient and exotic, just what class does it belong to? These things were old when the first dinosaurs stood up, and that's mind boggling.