Hilbert's spacefilling curve described by automatic, regular, and synchronized sequences
Formal Languages and Automata Theory
2021-06-03 v1 Discrete Mathematics
Abstract
We describe Hilbert's spacefilling curve in several different ways: as an automatic sequence of directions,as a regular and synchronized sequence of coordinates of lattice points encountered, and as an automatic bitmap image.
Cite
@article{arxiv.2106.01062,
title = {Hilbert's spacefilling curve described by automatic, regular, and synchronized sequences},
author = {Jeffrey Shallit},
journal= {arXiv preprint arXiv:2106.01062},
year = {2021}
}