Object Cage question

 From:  ypnos1
838.1 
Quick question - i'm a native Sketchup user therefore I'm not very familiar with modelling terms or concepts outside of that program. That being said I think the word to describe what i'm thinking about is cage. Why can't I get a cage of points around the object i've made? I'll attach a screen shot and the model so you guys so you guys can see what i'm talking about.

Essentially my question is this, why on certain objects the show points command works while on others it does not?

Any thoughts?
Ypnos