# Assesment of Smarandache Curves in the Null Cone Q^2

## TL;DR

This paper investigates Smarandache curves within the null cone Q^2, characterizing their properties using cone frame formulas and calculating their invariants, supported by an illustrative example.

## Contribution

It introduces a new analysis of Smarandache curves in the null cone using asymptotic orthonormal frames and computes their geometric invariants.

## Key findings

- Characterization of Smarandache curves in null cone Q^2
- Calculation of cone Frenet invariants for these curves
- Illustrative example demonstrating the concepts

## Abstract

In this paper, we give Smarandache curves according to the asymptotic orthonormal frame in null cone Q^2. By using cone frame formulas, we present some characterizations of Smarandache curves and calculate cone frenet invariants of these curves. Also, we illustrate these curves with an example.