In a way I'm talking about something along the lines of the last image (which I see only now as before it didn't load).

Though to describe it better or outline other possibilities :

1. You could create a stroke out of it
2. You can use the logo as a base for a pattern
   Then with this pattern you can use it in other parts of the brand.
   Eg. in the Menu

Here are some examples.
http://www.6rs.co.uk/the-power-of-pattern-why-your-brand-should-have-a-pattern/