Generating planar bench slats based on two profile curves

Note: I use Rhino but don’t use Grasshopper. The information below references Rhino commands.

Method for finding “no twist” lines between two curves. If a flat surface can be laid along these lines and be tangent to both curves simultaneously. Developable surface - exact ruling lines from edge curves No twist lines may not exist between two curves, or between portions of two curves.

These surfaces show the only portion of Andres’ curves which can have a planar board laid which is tangent to both curves. The surfaces were determined using a combination of the method linked above, copying and splitting the curves, the DevSrf command, and considerable experience.
klupice_DC01.3dm (468.2 KB)

I’ll try to find time to explain a method for creating a faceted surface where possible with each facet tangent to both cuves.