Surfaces Foliated by Planar Geodesics: A Model for Curved Wood Design

David Brander and Jens Gravesen
Proceedings of Bridges 2017: Mathematics, Art, Music, Architecture, Education, Culture
Pages 487–490 Short Papers


Surfaces foliated by planar geodesics are a natural model for surfaces made from wood strips. We outline how to construct all solutions, and produce non-trivial examples, such as a wood-strip Klein bottle.