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Jan 31, 2011 at 0:51 comment added Igor Rivin The Almgren/Rivin reference (see also Rivin/Schlenker and Cooper/Rivin), see also the many papers by Bobenko et al talk about the general bending process. There is no assumption on faces being of "constant shape".
Jan 31, 2011 at 0:37 comment added Robin Saunders Sorry, I should have made it clear: I'm not trying to keep the faces of constant shape. I only want to preserve the combinatorial properties of the skeleton (since otherwise, extra complications will be introduced). Polthier was simply the name which came up the most in my searches, so I decided to look though his publications.
Jan 31, 2011 at 0:13 history answered Igor Rivin CC BY-SA 2.5