Potatoes in small spaces

We are getting ready to plant our new garden so I am taking notes of techniques we may want to use to maximize our investment of time and resources.

Jamie Oliver had a recent episode where he mentioned this technique for growing a mass of potatoes in a tiny space.  You basically keep covering up the plant with more dirt as it grows and the plant keeps adding potatoes.  Low and behold, today I came across a lifehacker mention of a Seattle times article that goes over the technique in detail.
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As I scan youtube I see lots of videos covering other ways to do the same thing.  Here is a cheap technique using chicken wire: