Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4595563 | Journal of Number Theory | 2008 | 32 Pages |
Abstract
We generalise the notion of Heron triangles to rational-sided, cyclic n-gons with rational area using Brahmagupta's formula for the area of a cyclic quadrilateral and Robbins' formulæ for the area of cyclic pentagons and hexagons. We use approximate techniques to explore rational area n-gons for n greater than six. Finally, we produce a method of generating non-Eulerian rational area cyclic n-gons for even n and conjecturally classify all rational area cyclic n-gons.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory