Labyrinths and Space-Filling Curves, Spirals and Tessellations: Topological and Geometrical Implications of Cartesian to Polar Transformations

Year: 2024 Authors: Marie-Pascale Corcuff

Core claim

Cartesian to polar transformations reveal a distinctive polar-disk topology that links unicursal labyrinths and space-filling curves to spiral forms and architectural path design.

Topics

Cartesian to polar transformation, labyrinths, space-filling curves, spirals, tessellated mosaics

Domains

topology, geometry, space-filling curves, polar coordinates, mosaic art, architecture, generative art, visual pattern design

Methods

image transformation, Processing tool, comparative visual analysis, L-systems

Media

digital images, mosaics, portraits, floor plans

Source status

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