A Schematic depiction method for a non-Euclidean surface in axiomatic design

摘要

Design problems with two degrees of freedom are normally depicted on a plane with a vector using a rectangular coordinate system. Particularly, when there are no parallel lines or too many parallel lines, there is no way to use the aforementioned depiction on a non-Euclidean surface. We propose a depiction technique for a non-Euclidean surface. Our approach can be applied to existing design problems as well as to a variety of other problems in design with great versatility.