Hyperboloid structures are designed with one sheet. Geometrically strong and ecconomic, architecturally this most commonly takes two forms - as planar saddle roofs or as tubular towers. - Article links in the comments.

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[–]JasonCarswell[S] 3 insightful - 1 fun3 insightful - 0 fun4 insightful - 1 fun -  (0 children)

I helped a little on this article and radically revised the list a few months ago:

https://en.wikipedia.org/wiki/Hyperboloid_structure

https://en.wikipedia.org/wiki/List_of_hyperboloid_structures

Besides the primarily Eastern European early history of hyperboloid towers there's also a pre-WWII history of them on battleships. Many of these ships were attacked at Pearl Harbor. See the bottom of the list for images of those ships and links to their articles.