Structured Knight’s Tours

Year: 2021 Authors: Robert Bosch; Zejian Huang

Core claim

A substitution-rule construction yields structured open knight’s tours on arbitrarily large boards, including versions that encode Hilbert-curve-like patterns.

Topics

knight’s tours, discrete optimization, Hilbert curve, visual pattern

Domains

graph theory, combinatorial optimization, space-filling curves, Fibonacci identity, mathematical art, visual design, 3D printing, pattern formation

Methods

optimization modeling, substitution rule, reflection and quadrants, 3D modeling

Media

chessboard graphs, OpenSCAD, 3D printed models

Source status

This page publishes metadata and extracted analytical signals only. Raw PDF and full OCR text are kept local for now.