# Publications

### The construction of circular surfaces with quaternions

In this paper, we obtain equations of circular surfaces by using unit quaternions and express these surfaces in terms of homothetic …

### Circular Surfaces with Split Quaternionic Representations in Minkowski 3-space

Circular surfaces are smooth one-parameter families of circles. This paper includes three main purposes about circular surfaces and …

### Notes on pedal and contrapedal curves of fronts in the Euclidean plane

A pedal curve (a contrapedal curve) of a regular plane curve is the locus of the feet of the perpendiculars from a point to the …

### Some new types of associated curves in Euclidean 3-space

In this paper, we introduce the concept of $D$-direction curve and $C$-direction curve of a given curve using the alternative frame …

### A new representation of canal surfaces with split quaternions in Minkowski 3-space

In this paper, we introduce canal surfaces determined by spherical indicatrices of any spatial curve inMinkowski 3-space by means of …

# Projects

#### Symmetrization of integrals of motion

A code that gives full symmetric forms of integrals of motion - scalars, pseudo-scalars, vectors, axial vectors, tensors and pseudo tensors (Mathematica, Python)