Intersection curves of hypersurfaces in R4R4

We present algorithms for computing the differential geometry properties of Frenet apparatus (t,n,b1,b2,κ1,κ2,κ3)(t,n,b1,b2,κ1,κ2,κ3) of intersection curves of implicit–parametric–parametric and implicit–implicit–parametric hypersurfaces in R4R4, for transversal intersection. Some examples are given and plotted.

► We compute the properties of intersection curves of three hypersurfaces in R4R4. ► Combination can be implicit–parametric–parametric or parametric–implicit–implicit. ► The properties are Frenet vectors and curvatures of transversal intersection curves.