Abstract
In this paper, I introduced a new measurement on the unit circle where any two arbitrary angles are considered equal.
Significance
The significance of this research lies in introducing a completely new measurement concept on the unit circle, where all angles are considered equal.
- Challenging traditional concepts: In geometry and trigonometry, angles are typically distinguished by their magnitude. This research breaks that distinction by creating a space where angles are no longer different.
- It can potentially be applied in probability theory and computer science, and in the future, I may conduct further research on this topic….
Results Achieved
The paper was presented at Troy MathFest 2025, which attracted over 200 global attendees, sparking interdisciplinary mathematical applications.


Here is the full content of the article and the video presentation available at Troy MathFest 2025
