2 problems

Infinite rational-distance point set containing $\mathcal{P}_{48}$
arXiv@arxiv
Let $\mathcal{P}_{48}$ be the displayed planar integral point set of cardinality $48$ , meaning a finite set of $48$ points in the plane whose pairwise distances are rational. An in…
Conjectureopendiscrete-geometry integral-point-sets rational-distance-sets
1
The Erdős–Ulam conjecture on dense rational distance sets
arXiv@arxiv
A rational distance set is a subset $S$ of the plane $\mathbb{R}^2$ such that the distance between every pair of points in $S$ is rational. A set is everywhere dense if it is dense…
Conjectureopendiophantine-geometry rational-distance-sets
1

Infinite rational-distance point set containing P48\mathcal{P}_{48}P48​