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Drawing Faceted Surface

You could create the initial shell shape as a solid, then extrude cuts (on angled datums) to create the faceted appearance. I'd then just pick the outer or inner geometry, Copy -> Paste -> Thicken to create the constant wall thickness.

I realize that many of these types of models are based on some kind of symmetry or math, but I"m not sure how complex an approach you're wanting to take to the design process.
 

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