I'm really hoping an ID student with access to 3D printing will see this, and be inspired to incorporate some part of it into their projects. Henry Segerman, a Mathematics professor at Oklahoma State University, is keenly interested in physical mechanisms. By experimenting with rack-and-pinion arrangements, he's designed these expanding shapes:
If you'd like to 3D print your own, he's made the files available, for free, here.
Of course, it might help if you understood how they work in the first place, so you can modify them as needed to suit your own designs. Below Segerman runs down how they work:
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