CURVES WITH INCREASING CHORDS

Authors
ROTE G
Citation
G. Rote, CURVES WITH INCREASING CHORDS, Mathematical proceedings of the Cambridge Philosophical Society, 115, 1994, pp. 1-12
Citations number
3
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
Mathematical proceedings of the Cambridge Philosophical Society → ACNP
ISSN journal
03050041
Volume
115
Year of publication
1994
Part
1
Pages
1 - 12
Database
ISI
SICI code
0305-0041(1994)115:<1:CWIC>2.0.ZU;2-H
Abstract
A curve has increasing chords if AD greater-than-or-equal-to BC for an y 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 2pi/ 3 in two dimensions, which is the optimal bound, and less than 30 in t hree dimensions.