Puzzling Plane-Filling Curves

Year: 2019 Authors: Jörg Arndt; Julia Handl

Core claim

Curve-sets with different motifs can still satisfy a tile-condition, producing self-avoiding plane-filling curves and new self-similar puzzles.

Topics

plane-filling curves, self-similarity, puzzle construction, curve-sets

Domains

fractal geometry, tiling theory, Lindenmayer systems, combinatorics, mathematical puzzles, generative design, visual patterning, paper-based construction

Methods

motif substitution, tile-condition testing, iterative refinement, grid-based tiling

Media

square grid, triangular grid, colored line diagrams, puzzle pieces

Source status

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