Trouble with a simple geometrical problem

[Joseph_Oster]

I think maybe you missed the reason I used Perp Frames and Point Oriented in my reply on this subject three days ago? You need more than 2D algorithms in a 3D space.

Transform curve with graph mapper keeping end points?

Please understand. If you had posted this model originally as your goal, giving 3D context to the problem, your goal would have been SO MUCH CLEARER!!! [Graph_Mapper_Curves_2018Mar27a] Graph_Mapper_Curves_2018Mar27a.gh (42.5 KB)

Graph_Mapper_Curves_2018Mar27a.gh (42.5 KB)

Here it is again with Align Plane, which looks more consistent but has an issue at one end:

Graph_Mapper_Curves_2018Mar30a.gh (44.2 KB)

Various orientations available by connecting to ‘U’ and/or ‘V’ and/or ‘W’ inputs to Point Oriented, and optionally using the expression “-x” on each one.