At March Meeting, there was a fascinating talk about the phase diagram of ribbons. Yeah, just like the solid/liquid/gas phase diagram of water! Their paper is called Helicoids, Wrinkles, and Loops in Twisted Ribbons (see on PRL if you have journal access). Here’s the first figure:
Left side: many possible responses of a stretched and twisted ribbon. Right side: a phase diagram of the ribbon as a function of stretching force (T) and twisting angle (θ).
The researchers claim, “Our results can be used to develop functional structures”. I don’t know what that means, but I’m already sold! I am going to replicate this experiment!