Plane-filling Curves on Transitive Grids

Year: 2016 Authors: Jörg Arndt; Julia Handl

Core claim

L-system-based edge-filling curves on several transitive polygonal grids can be systematically transformed into point-filling curves on related grids.

Topics

plane-filling curves, transitive grids, L-systems, self-similarity

Domains

fractal geometry, tilings and patterns, graph traversal, combinatorics, mathematical visualization, generative design, pattern formation, algorithmic art

Methods

L-system construction, grid transformation, symbol replacement rules, case-based curve search

Media

triangular grid, square grid, honeycomb grid, tri-hexagonal grid

Source status

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