Open AccessRational cuboids and Geron triangles
Author(s) -
Edmundas Mazėtis,
Grigorijus Melničenko
Publication year - 2018
Publication title -
lietuvos matematikos rinkinys
Language(s) - English
Resource type - Journals
eISSN - 2335-898X
pISSN - 0132-2818
DOI - 10.15388/lmr.b.2018.9
Subject(s) - cuboid , heron , euler's formula , mathematics , computer science , geometry , geology , mathematical analysis , paleontology
The problem of existence of rational cuboids is considered in the article. Equivalent statements ofthis problem are obtained which lead to the existence of Heron’s triangles whose lengths are integralsquares and satisfy other additional conditions. Also, the connections between Euler bricks and theHeron triangles are obtained, which correspond to additional conditions.