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For convex regular polytopes edit
Here's a paper. Of course its conclusions were completely obvious from the start (only the ones with triangular 2-faces are rigid, though for the 24-cell and 600-cell this is apparently only conjectured), but this allows us to state these findings and reference them. Double sharp (talk) 22:27, 16 March 2015 (UTC)
Joint rigidity and hinge construction edit
This article appears to assume that the joints themselves are perfectly rigid. In practice they are not unless the joints are welded. There must be some play or backlash in bearings to allow them to rotate, and the same is true for any other bolted or pinned assembly, to allow them to be taken apart and reassembled.
So your triangle is still going to be slightly flexible due to the construction of the hinges. -- DMahalko (talk) 15:39, 24 May 2016 (UTC)
Draft edit
There is a draft at Draft:Structural rigidity which was intended to improve this article. It would be useful to review the draft to see whether any material should be merged into this article. Robert McClenon (talk) 03:50, 11 March 2022 (UTC)