I've seen some videos explaining how this is done. It's amazing how much food can be grown in a small area. Potatoes can make the difference between starvation and survival. All homesteaders should consider doing this along with greenhouses. Btw, some varieties of potatoes are better for this then others.

It’s the simplest thing. Make sure you get a few organic potatoes (non organic ones are sprayed with something to make them not sprout). Let them sit in a dark area for a few weeks till they start to sprout out of their eyes. (I just keep them in a brown paper bag). Then find a big container (garbage pail, bin,etc) and drill holes in the bottom for drainage. Put a layer of rocks down (to help with drainage) then a few inches of soil. Cut the potatoes into thirds, make sure there are one or two sprouts on each piece. Lay the pieces on the soil about one piece per 10 inches squared area. Cover a few inches of soil. Don’t over water, once a day is enough. Once you see the greenage come through the soil an inch or two then cover again with more soil. Do that every time you see the greens come through the soil. Each time you do that you encourage more sprouts. Once you get to the top of your bin just wait till you see pretty little white flowers grow out of the greenery. Once the flowers start to die off your potatoes are ready. The whole process from start to finish is about three months. The bigger the bin and the more space you allow the bigger the potatoes will be. And they are delish.