Pythagorean Boxes and Quotients of Gaussian Integers

We show that the right combination of Gaussian integers and stereographic projection leads very quickly to the classical four-parameter formulas parameterizing all primitive Pythagorean boxes. Suitable conditions for primitiveness are also established along with an easy algorithm to find such parame...

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Bibliographic Details
Published in:The American mathematical monthly 2023-01, Vol.130 (1), p.76-82
Main Author: Carrillo, Sergio A.
Format: Article
Language:English
Subjects:
Algorithms
Boxes
Integers
Mathematical analysis
Parameter estimation
Parameters
Citations: Items that this one cites
Online Access:Get full text
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Description
Summary:We show that the right combination of Gaussian integers and stereographic projection leads very quickly to the classical four-parameter formulas parameterizing all primitive Pythagorean boxes. Suitable conditions for primitiveness are also established along with an easy algorithm to find such parameters.
ISSN:0002-9890
1930-0972
DOI:10.1080/00029890.2022.2128160