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.
This work is licensed under a Creative Commons Attribution 4.0 International License.
Please read the Copyright Notice in Journal Policy.