Logic gates with plahdoh

I’ve seen a few blog posts (here and here) and the TED talk regarding using homemade play doh to show logic gates and I’m intrigued. However, I just don’t get it! I can build a logic gate on paper and can play around on logic.ly but I cannot wrap my head around how play doh works with this. If anyone has pictures with an explanation on what an AND or an OR gate with batteries, wires, and LED light would look like I would be greatly appreciative.