### Abstract

A developable surface can be formed by bending or rolling a planar surface without stretching or tearing; in other words, it can be developed or unrolled isometrically onto a plane. This paper describes two main differential geometry properties of developable surfaces that have industrial applications. First, a method for identifying the inflection line of a developable surface is described. Second, geodesic lines between two points on a developable surface are found as an initial value problem, which is easier to solve than the boundary value problem that is normally required.

Original language | English |
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Pages (from-to) | 251-267 |

Number of pages | 17 |

Journal | Mathematical Engineering in Industry |

Volume | 7 |

Issue number | 2 |

Publication status | Published - 1999 Dec 1 |

Externally published | Yes |

### Keywords

- Developable surface
- Flat points
- Geodesies
- Inflection lines

### ASJC Scopus subject areas

- Engineering(all)

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## Cite this

Maekawa, T., & Chalfant, J. S. (1999). Computation of inflection lines and geodesies on developable surfaces.

*Mathematical Engineering in Industry*,*7*(2), 251-267.