Development of a Surface having Regular Polygonal Base and Elliptic Arcs

2020/08/28 by Shahid S. Siddiqi, Siddiqi, Shahid Saeed, Abdul Rauf Nizami +1
Engineering · #00A05 #Advanced Theoretical and Applied Studies in Material Sciences and Geometry #FOS: Mathematics #History and Overview (math.HO) #Metric Geometry (math.MG)

paper · pdf · doi:10.48550/arxiv.2009.00455

openalex publication_date 2020/08/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

This paper aims to develop the mathematical representation of a surface generated by elliptical arcs joining the sides of a regular polygon to a point lying vertically upward on the central axis of the polygon. The volume of the corresponding solid has also been determined.

Related

• On solids whose (entire) surface can be unfolded onto a plane
• Smarandache Ruled Surfaces According to Bishop Frame in E3
• Ideal Triangulation and Disk Unfolding of a Singular Flat Surface
• The architectural application of shells whose boundaries subtend a constant solid angle
• Construction of the surfaces with horizontal tangential planes at given points