Seifert surfaces with minimal genus

J.J. Wijk, van, M. Garderen, van

Research output: Chapter in Book/Report/Conference proceedingConference contributionAcademicpeer-review

Abstract

Seifert surfaces are orientable surfaces, bounded by a mathematical knot. These surfaces have an intriguing shape and can be used to produce fascinating images and sculptures. Van Wijk and Cohen have introduced a method to generate images of these surfaces, based on braids, but their approach often led to surfaces that were too complex, i.e., the genus of the surface was too high. Here we show how minimal genus Seifert surfaces can be produced, using an extension of standard braids and an algorithm to find such surfaces.
Original languageEnglish
Title of host publicationProceedings of Bridges 2013: Mathematics, Music, Art, Architecture, Culture (Enschede, The Netherlands, July 27-31, 2013)
EditorsG. Hart, R. Sarhangi
Place of PublicationPhoenix AZ
PublisherTessellations Publishing
Pages453-456
ISBN (Print)978-1-938664-06-9
Publication statusPublished - 2013

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    Wijk, van, J. J., & Garderen, van, M. (2013). Seifert surfaces with minimal genus. In G. Hart, & R. Sarhangi (Eds.), Proceedings of Bridges 2013: Mathematics, Music, Art, Architecture, Culture (Enschede, The Netherlands, July 27-31, 2013) (pp. 453-456). Phoenix AZ: Tessellations Publishing.