### Abstract

Original language | English |
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Title of host publication | Proceedings of Bridges Baltimore 2015 : Mathematics, Music, Art, Architecture, Culture |

Publication date | 2015 |

Pages | 379-382 |

Publication status | Published - 2015 |

Event | Bridges Baltimore 2015 - The University of Baltimore, Baltimore, Maryland, United States Duration: 29 Jul 2015 → 1 Aug 2015 http://bridgesmathart.org/ |

### Conference

Conference | Bridges Baltimore 2015 |
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Location | The University of Baltimore |

Country | United States |

City | Baltimore, Maryland |

Period | 29/07/2015 → 01/08/2015 |

Internet address |

### Cite this

*Proceedings of Bridges Baltimore 2015: Mathematics, Music, Art, Architecture, Culture*(pp. 379-382)

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*Proceedings of Bridges Baltimore 2015: Mathematics, Music, Art, Architecture, Culture.*pp. 379-382, Bridges Baltimore 2015, Baltimore, Maryland, United States, 29/07/2015.

**Surfaces with Natural Ridges.** / Brander, David; Markvorsen, Steen.

Research output: Chapter in Book/Report/Conference proceeding › Article in proceedings › Research › peer-review

TY - GEN

T1 - Surfaces with Natural Ridges

AU - Brander, David

AU - Markvorsen, Steen

PY - 2015

Y1 - 2015

N2 - We discuss surfaces with singularities, both in mathematics and in the real world. For many types of mathematical surface, singularities are natural and can be regarded as part of the surface. The most emblematic example is that of surfaces of constant negative Gauss curvature, all of which necessarily have singularities. We describe a method for producing constant negative curvature surfaces with prescribed cusp lines. In particular, given a generic space curve, there is a unique surface of constant curvature K = -1 that contains this curve as a cuspidal edge. This is an effective means to easily generate many new and beautiful examples of surfaces with constant negative curvature.

AB - We discuss surfaces with singularities, both in mathematics and in the real world. For many types of mathematical surface, singularities are natural and can be regarded as part of the surface. The most emblematic example is that of surfaces of constant negative Gauss curvature, all of which necessarily have singularities. We describe a method for producing constant negative curvature surfaces with prescribed cusp lines. In particular, given a generic space curve, there is a unique surface of constant curvature K = -1 that contains this curve as a cuspidal edge. This is an effective means to easily generate many new and beautiful examples of surfaces with constant negative curvature.

M3 - Article in proceedings

SP - 379

EP - 382

BT - Proceedings of Bridges Baltimore 2015

ER -