Computation of inflection lines and geodesies on developable surfaces

T. Maekawa*, J. S. Chalfant

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

8 Citations (Scopus)


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 languageEnglish
Pages (from-to)251-267
Number of pages17
JournalMathematical Engineering in Industry
Issue number2
Publication statusPublished - 1999 Dec 1
Externally publishedYes


  • Developable surface
  • Flat points
  • Geodesies
  • Inflection lines

ASJC Scopus subject areas

  • General Engineering


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