Classification of Evolutoids and Pedaloids in Minkowski Space-time Plane

Abstract

In this paper, we study the families of relatives of pedals and evolutes in the Minkowski spacetime plane R1. We obtain some relationships between these families which turn out to be different from Euclidean plane. Also, we classify and generalize these notions to the category of frontal curves in R1. Finally, some computational examples in support of our main results are given and plotted. Key–Words: Minkowski space-time, plane curve, evolute, evolutoids, pedal, pedaloids.