Rational cuboids and Geron triangles
Edmundas Mazėtis
Vilnius University
Grigorijus Melničenko
Vytautas Magnus University
Published 2018-12-20


Heronian triangle
rational cuboid
perfect cuboid
Euler brick

How to Cite

Mazėtis E. and Melničenko G. (2018) “Rational cuboids and Geron triangles”, Lietuvos matematikos rinkinys, 59(B), pp. 61-66. doi: 10.15388/LMR.B.2018.9.


The problem of existence of rational cuboids is considered in the article. Equivalent statements of
this problem are obtained which lead to the existence of Heron’s triangles whose lengths are integral
squares and satisfy other additional conditions. Also, the connections between Euler bricks and the
Heron triangles are obtained, which correspond to additional conditions.

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