03 / Mathematics Preprint
No four in a plane.
Certified configurations and bounds for the cubic grid.
The restriction changes from lines to planes: choose integer points so that no four lie in one plane. The work collects configurations and bounds for this problem, associated with A280537.
An independent checker uses exact determinants over quadruples. Coordinates make a claimed construction reproducible without trusting the search procedure.
Where the claim stops.
The reported configurations and bounds apply to the sizes and assumptions stated in the paper.
Source: no3-results / README.md. Summary prepared from the local research record, 11 September 2026.
DOI 10.5281/zenodo.22023079 ↗Research led by Aleksei Kudriashov (Alex Komang). Mathematical paper and witness text/data: CC BY 4.0 where stated in the source repository.