non-planer surfaces to curved faces

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non-planer surfaces to curved faces

kitwallace
Really this is more a geometry question than OpenSCAD but I know you're a
knowledgable lot.

I've recently been playing with creating nets of solids with non-planar
faces.  When folded, such nets result in curved surfaces, but as polyhedra,
the non-planer surfaces are minimally triangulated.

<http://forum.openscad.org/file/t229/random-n-prism.png>

When constructed in a 2-D rigid material like card, all surfaces assume
curved shapes, though these are not necessarily uniquely defined - some
faces are bi or multi-stable indicating multiple solutions.  

<http://forum.openscad.org/file/t229/rpenta-r.jpg>

I'd like to find some optimisation method which would produce a
triangulation of the solid which would satisfy the fixed edge length
constraints whilst minimising curvature (or something like that)

Any pointers?



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