The Hilbert Curve and the Thue-Morse Sequence
Source
G4G15
Title
The Hilbert Curve and the Thue-Morse Sequence
Contributor
Doug McKenna
Subject
Rec Math
Description
The Hilbert Curve comprises multiple, smaller-scale Hilbert Curves. At each scale, each sub-curve is oriented either horizontally or vertically, all piecewise-connected into a continuous traversal of the square. We show (without words) that the sequence of these orientations is the same as the Thue-Morse sequence.
Identifier
G15-027-1
Collection
Citation
“The Hilbert Curve and the Thue-Morse Sequence,” G4G Gift Exchange Archive, accessed November 9, 2025, https://g4gexchangearchive.omeka.net/items/show/1676.
Comments