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arXiv · 1502.07312

Points at rational distances from the vertices of certain geometric objects

Andrew Bremner·Maciej Ulas
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Abstract

We consider various problems related to finding points in $\Q^{2}$ and in $\Q^{3}$ which lie at rational distance from the vertices of some specified geometric object, for example, a square or rectangle in $\Q^{2}$, and a cube or tetrahedron in $\Q^{3}$.

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Andrew Bremner, Maciej Ulas. 2015-02-25. Points at rational distances from the vertices of certain geometric objects. https://arxiv.org/abs/1502.07312

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