Cyclic pentagons and hexagons with integer sides, diagonals and areas
Serdica Mathematical Journal, Tome 46 (2021) no. 4, pp. 307-322
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A polygon all of whose sides, diagonals and the area are given by integers is called a Heron polygon. A cyclic Heron polygon is called a Brahmagupta polygon. In this paper we obtain parametrized families of Brahmagupta pentagons and hexagons, that is, cyclic pentagons and hexagons with integer sides, diagonals and areas.
Keywords:
cyclic polygons, cyclic pentagons, cyclic hexagons, Brahmagupta pentagons, Brahmagupta hexagons, 11D41, 51M25, 51M99
Ajai, Ajai. Cyclic pentagons and hexagons with integer sides, diagonals and areas. Serdica Mathematical Journal, Tome 46 (2021) no. 4, pp. 307-322. http://geodesic.mathdoc.fr/item/SMJ2_2021_46_4_a0/
@article{SMJ2_2021_46_4_a0,
author = {Ajai, Ajai},
title = {Cyclic pentagons and hexagons with integer sides, diagonals and areas},
journal = {Serdica Mathematical Journal},
pages = {307--322},
year = {2021},
volume = {46},
number = {4},
language = {en},
url = {http://geodesic.mathdoc.fr/item/SMJ2_2021_46_4_a0/}
}