Applying Euclidean Geometry to Optimize Mountain Trail Design and Sustainability

Josh Aditya

Abstract: This review examines how Euclidean geometry principles can inform sustainable mountain trail design, particularly by analyzing slope gradients, curvature, and path alignment. The article draws on theoretical models and a synthesis of GIS-based research to explore how geometric reasoning supports erosion control, user accessibility, and long-term trail maintenance. Case studies from the Himalayan regions illustrate potential applications, though the lack of high-resolution geospatial data limited the implementation of original GIS modeling. By identifying key geometric attributes that influence trail resilience, the paper outlines a comparative framework for future empirical research. It ultimately argues that integrating geometric analysis with spatial technologies offers a promising direction for environmentally conscious trail planning.

Keywords: Euclidean geometry, mountain trail design, GIS modeling, slope optimization, erosion control

How to Cite?: Josh Aditya, "Applying Euclidean Geometry to Optimize Mountain Trail Design and Sustainability", Volume 14 Issue 8, August 2025, International Journal of Science and Research (IJSR), Pages: 120-123, https://www.ijsr.net/getabstract.php?paperid=SR25801154658, DOI: https://dx.doi.org/10.21275/SR25801154658