Tessellations from Space-Filling Curves

Year: 2025 Authors: Tis Veugen

Core claim

Node Oriented Deformation Scheme and Edge Oriented Deformation Scheme can generate valid tessellations from qualifying space-filling curves in square and hexagonal grids.

Topics

space-filling curves, Escheresque tessellations, tile deformation, square grid, hexagonal grid

Domains

fractal geometry, tiling theory, curve generation, grid geometry, mathematical art, tessellation design, pattern design, Escher-style imagery

Methods

NODS, EODS, edge-replacement method, deformation schemes, heuristic search

Media

square tiles, hexagonal tiles, triangular grids, rhombuses, deformed prototiles

Source status

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