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Publication Date


First Advisor

Joseph O'Rourke

Document Type

Honors Project

Degree Name

Bachelor of Arts


Computer Science


Computational geometry, Lines of curvature, Principal, Convex polyhedra


The computation of the principal lines of curvature of a polyhedron grows more and more complicated as the complexity of the shape itself increases. While well-documented for several simple solids such as el lipsoids, they remain elusive for the majority of other polyhedra. This project aims to tackle this issue by implementing an algorithm first proposed by B. Hamann in 1993 that utilizes a variety of methods to calculate approximate principal lines of curvature for a given surface. The main question driving this project is whether or not Hamann’s al gorithm yields an accurate rendering of the principal lines of curvature for any convex surface. As a result of this research, the conclusion is reached that this is indeed the case.


©2019 Zoë Camille Riell. Access limited to the Smith College community and other researchers while on campus. Smith College community members also may access from off-campus using a Smith College log-in. Other off-campus researchers may request a copy through Interlibrary Loan for personal use.




44 pages : color illustrations. Includes bibliographical references (pages 43-44)