Cruising around on Fakebook, as you do, I came across a module that seemed really familiar. I am sure I have seen it elsewhere, but am not able to find it (I think it is a Bascetta variant?):

I decided to give it a whirl – nice and simple, and quick to fold, it locks nicely with a positive paper tension keeping groups of 3 together, then you group the 3-unit points into clusters of 5 and you get a nice positive curvature. Using other combinations I can imagine zero curvature (6 modules) and negative curvature (7 modules) … hence a torus is possible?.

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