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
@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},
publisher = {mathdoc},
volume = {46},
number = {4},
year = {2021},
language = {en},
url = {http://geodesic.mathdoc.fr/item/SMJ2_2021_46_4_a0/}
}
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/