This research focused on studying the flows of a null Cartan curve specified by velocity and acceleration fields. We have proven that tangential normal velocities are influenced binormal along motion. The fields used to drive time evolution equations for frame torsion curve. objective this work is construct family inextensible curves from initial surface formed obtained numerically visualized. ...

We propose a new algorithm for a classical problem in plane computational geometry: computing a shortest path between two points in the presence of polygonal obstacles. Our algorithm runs in worst-case time O(nlog2n) and requires O(n1ogn) space, where n is the total number of vertices in the obstacle polygons. Our algorithm actually computes a planar map that encodes shortest paths from a fixed...

In this paper, we analyze involutes of pseudo-null curves in Lorentz–Minkowski 3-space. Pseudo-null are spacelike with null principal normals, and their can be defined analogously as for the Euclidean curves, but they exhibit properties that cannot occur space. The first result paper is more precisely, straight lines. Furthermore, a method reconstruction curve from given line its involute provi...