Jump to content

Equichordal Point Problem

Add links
From Wikipedia, the free encyclopedia

This is an old revision of this page, as edited by Rychlik (talk | contribs) at 18:43, 25 November 2010 (→‎The Equichordal Point Problem). The present address (URL) is a permanent link to this revision, which may differ significantly from the current revision.

The Equichordal Point Problem

A problem in convex geometry that asks wether there exists a curve with two equichordal points. The problem was originally posed in 1916 by Fujiwara[1], and solved by Marek Rychlik in 1996[2]. The answer in the negative is the subject of Rychlik's Theorem

See also

  1. Rychlik's Theorem
  2. Chordal Problem

References

  1. ^ M. Fujiwara. Über die Mittelkurve zweier geschlossenen konvexen Curven in Bezug auf einen Punkt. Tôhoku Math J., 10:99-103, 1916
  2. ^ Marek R. Rychlik, A complete solution to the equichordal point problem of Fujiwara, Blaschke, Rothe and Weizenböck, Inventiones Mathematicae, 1997, Volume 129, Number 1, Pages 141-212
Stub icon

This geometry-related article is a stub. You can help Wikipedia by expanding it.

Retrieved from "https://en.wikipedia.org/w/index.php?title=Equichordal_Point_Problem&oldid=398843610"