### 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 language | English |
---|---|

Title of host publication | Proceedings of Bridges 2013: Mathematics, Music, Art, Architecture, Culture (Enschede, The Netherlands, July 27-31, 2013) |

Editors | G. Hart, R. Sarhangi |

Place of Publication | Phoenix AZ |

Publisher | Tessellations Publishing |

Pages | 453-456 |

ISBN (Print) | 978-1-938664-06-9 |

Publication status | Published - 2013 |

## Fingerprint Dive into the research topics of 'Seifert surfaces with minimal genus'. Together they form a unique fingerprint.

## Cite this

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.