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Brahmagupta
quadrilaterals are lattice quadrilaterals
Susan H. Marshall and Brooke Tortorelli |
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Vol. 17 (2024), No. 4, 593–602
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Abstract |
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A Brahmagupta quadrilateral is a cyclic quadrilateral with integer side lengths, integer diagonals, and integer area. We show that every Brahmagupta quadrilateral can be placed in the -plane so that its vertices have integer coordinates, generalizing a similar result for Heronian triangles (triangles with integer side lengths and integer area). |
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Keywords
Brahmagupta quadrilateral, Gaussian integers
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Mathematical Subject Classification
Primary: 51M04
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Milestones
Received: 29 May 2022
Revised: 26 May 2023
Accepted: 27 May 2023
Published: 2 October 2024
Communicated by Joshua Cooper
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Authors |
| Susan H. Marshall | |
| Department of Mathematics Monmouth University West Long Branch, NJ United States |
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| Brooke Tortorelli | |
| Department of Mathematics Monmouth University West Long Branch, NJ United States |
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| © 2024 MSP (Mathematical Sciences Publishers). |
