Indexed metadata

An infinite small-step Z3\mathbb Z^3-walk with no collinear triple

Stijn Cambie, Erik Kalviainen

Source record

Source: arXiv

Published: Sep 1, 2026

arXiv: 2609.01766

Open original source ↗

Source abstract

We construct an infinite walk in Z3\mathbb{Z}^3 whose steps come from a fixed set of sixteen vectors and no three of whose vertices are collinear, answering a problem of Gerver and Ramsey popularized as Erdős Problem 193.

Evidence graph

No public relationships recorded yet.

Integrity note: This page is a factual metadata record created by deterministic ingestion. It is not a claim that the work moves a mathematical frontier or has been independently verified.