Constructing Poncelet Polygons
Abstract
Abstract We study the geometric structure of Poncelet n -gons from a projective point of view. In particular we present explicit constructions of Poncelet n -gons for $$n = 7,8$$ n = 7 , 8 and derive corresponding algebraic characterisations in terms of bracket polynomials, as well as describing a construction to produce a Poncelet 2 n -gon from a starting Poncelet n -gon.
Fields of Study & Subjects
Mathematics and Applications
Advanced Mathematical Theories and Applications
Algebraic and Geometric Analysis
Publication details
- Journal / source
- Discrete & Computational Geometry
- Publisher
- Springer Science and Business Media LLC
- Volume
- 76
- Issue
- 3
- Pages
- 2005-2020
- Publication date
- 4 July 2026
- Language
- EN