Evolutoids and pedaloids of frontals on timelike surfaces

In this article, we define evolutoids and pedaloids of frontals on timelike surfaces in Minkowski 3-space.The evolutoids of frontals on timelike surfaces are not only the generalization of evolutoids Massage Oils of curves in the Minkowski plane but also the generalization of caustics in Minkowski 3-space.As an application of the singularity theory, we classify the singularities of evolutoids and reveal the relationships between the singularities and geometric invariants of frontals.Furthermore, we find that there exists a close connection between the pedaloids of frontals and the pedal surfaces Relief Cream of evolutoids.

Finally, we give some examples to demonstrate the results.

Leave a Reply

Your email address will not be published. Required fields are marked *