Plane-Filling Folding Curves on the Square Grid

Year: 2018 Authors: Jörg Arndt; Julia Handl

Core claim

All plane-filling self-avoiding folding curves on the square grid were determined up to order 53.

Topics

plane-filling curves, folding morphisms, L-systems, square grid, fractal tiles

Domains

fractal geometry, discrete geometry, combinatorics, numeration systems, generative art, algorithmic design, visualization

Methods

exhaustive search, L-system iteration, paper folding model, tile decomposition

Media

paper strip, square grid, computer rendering, fractal tiles

Source status

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