In this session we asked what solids can be made using regular polygons as sides. We investigated this almost entirely by playing around with snap-together polygons. And thanks to our campus 3d printer, we got to handle some of the more obscure shapes too.
We also made the restriction that the solids should be convex, that is, have no indentation in them. This class of solids is called Here are some examples of some of the solids:
Although the combinations seem endless, amazingly Victor Zalgaller proved that other than the prisms, there are just 108 of these shapes!
Further reading here at wikipedia.
You can see our Johnson solids handout here!