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Cyclic pentagons and hexagons with integer sides, diagonals and areas

2019/05/26 by Ajai Choudhry, Choudhry, Ajai
Engineering · Mathematics · #11D25 #Advanced Mathematical Theories #FOS: Mathematics #Mathematics and Applications #Metric Geometry (math.MG) #Number Theory (math.NT) #graph theory and CDMA systems

paper · pdf · doi:10.48550/arxiv.1906.00345

openalex publication_date 2019/05/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper we obtain cyclic pentagons and hexagons with rational sides, diagonals and area all of which are expressed in terms of rational functions of several arbitrary rational parameters. On suitable scaling, we obtain cyclic pentagons and hexagons whose sides, diagonals and area are all given by integers.

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