Developable Surface

Note - @andreirochian and I have posted about this at the Boat Design Forum https://www.boatdesign.net/threads/building-of-aluminium-boat-mounting-of-hull-framing-structure.61901/

Two similar but different questions:

  • Is the surface a developable surface as in an exact mathematical developable surface with Gaussian curvature and one principal curvature exactly zero everywhere?
  • Is the surface close enough to a developable surface to be buildable?

An answer to the second question requires welded aluminum boatbuilding expertise which I don’t have.

To answer the first question the surface is very close to but not an exact developable surface. In general the Rhino tools such as DevSrf and DevLoft for creating developable surfaces from two curves generally result in surfaces which are close to but not “exact” developable surfaces.

An exact developable surface has zero twist along the ruling lines. Previous thread with method to check twist along a ruling lines of a surface: Ruling line from edge curves twist check

Previous thread with method for obtaining exact ruling lines from a pair of edge curves: Developable surface - exact ruling lines from edge curves Anyone who wants to use this method should read the entire thread as there is some important information in later posts. I use this method to obtain ruling lines between edge curves, and then use Sweep2 with the edge curves as rails and the ruling lines as sections to obtain a surface. With sufficient exact ruling lines the surface can be as close as desired to an exact developable surface.

Previous thread about creating a developable surface for a boat from edge curves: Developable surface

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