MacDougall, James A. and Buchholz, Ralph H. (2008) Cyclic Polygons with Rational Sides and Area. Journal of Number Theory, 128 (1). pp. 17-48.
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' formul$\ae$ 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.
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