@article{Elsharkawy2025, 
author = {A. Elsharkawy and H. K. Elsayied and M. E. Desouky and C. Cesarano},
title = {T-pedal ruled surface with the Frenet frame of the original curve in        E    3},
year = {2025},
journal = {AIMS Mathematics},
volume = {10},
number = {11},
pages = {25606-25623},
keywords = {Frenet frame, space curves, T-pedal curve, ruled surfaces, developable surface, minimal surface},
url = {https://www.sciopen.com/article/10.3934/math.20251134},
doi = {10.3934/math.20251134},
abstract = {This paper presents a geometric study of three types of ruled surfaces generated from the tangent, normal, and binormal unit vectors of unit speed space curves. Using the T-pedal curve construction as a foundation, we analyze these surfaces through their fundamental geometric forms, including curvature properties, the striction curve geometry, and the distribution parameter. The theoretical framework is used to analyze problems in computational geometry and shape modeling, with results relevant to both mathematical research and engineering applications. The work establishes fundamental geometric insights while providing tools for applied shape modeling and analysis.}
}