Curves with Increasing Chords Curves with Increasing Chords

  • G Unter Rote
  • Published 1993

Abstract

A curve has increasing chords if AD BC for any four points A;B;C;D lying on the curve in that order. The length of such a curve that connects two points at distance 1 is at most 2 =3 in two dimensions, which is the optimal bound, and less that 30 in three dimensions. AMS 1991 Mathematics Subject Classi cations: 52A40 (51K99, 51M04, 51M25, 52A38)

4 Figures and Tables

Cite this paper

@inproceedings{Rote1993CurvesWI, title={Curves with Increasing Chords Curves with Increasing Chords}, author={G Unter Rote}, year={1993} }