Microsoft has announced something we'll all benefit from. The company's patented... uhhh... Come again?
What determines the strip's shape is its differing areas of "energy density," they say.
"Energy density" means the stored, elastic energy that is contained in the strip as a result of the folding. Places where the strip is most bent have the highest energy density; conversely, places that are flat and unstressed by a fold have the least energy density.
Every nonzero finite dimensional inner product space has an orthonormal basis. It makes sense, when you don't think about it.