Claims

../

2026_08_28_kalviainen: Kalviainen's earlier construction: points of a discrete Hilbert curve, one chosen per block of sixteen indices and lifted to its index as height, claimed to give an infinite bounded-step walk with no three collinear points.

2026_09_01_cambie_kalviainen: Cambie and Kalviainen's Gaussian-integer walk: an infinite sequence in the integer lattice of dimension three with at most sixteen distinct steps and no three collinear points, answering the question negatively.

---