In this paper, we take advantage of envelope theory and singularity theory to study the
evolutoids and pedaloids in Minkowski plane. We illustrate an internal correlation from …

The curves that may have singularities on the null sphere have not been discussed before.
Since they are degenerate, we can not investigate them directly. So we would like to solve …

In this paper, we focus on geometry of evolutoids and pedaloids for timelike curves and
spacelike curves on timelike surfaces. First, by studying an example of a pseudo-circle, we …

We give a method for constructing generalized null Cartan helices, which may have
singularities, by using regular space-like plane curves and smooth functions in Minkowski 3 …

In this paper, we investigate null Cartan geodesic isophote curves in the Minkowski 3-space,
and give examples where such curves actually exist. By categorizing the types of light …

In the present paper, we defined the circular evolutes and involutes for a given spacelike
framed curve with respect to Bishop directions in Minkowski 3-space. Then, we studied the …

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 …

In this paper, we consider two kinds of developable surfaces along a timelike frontal curve
lying in a timelike surface in Minkowski 3-space, the Lorentz–Darboux rectifying surfaces …

In differential geometry, curves formed by curves are basic concepts with numerous
applications in engineering and optics. Some of those are pedal curves and contrapedal …