Creating Unicursal Curves Using Tiles

Year: 2025 Authors: Kerry Mitchell

Core claim

Carefully designed tiles and computational tracing can generate and verify large unicursal curves that preserve the visual spirit of sona and kolam-inspired drawings.

Topics

unicursal curves, tile systems, digital art, curve analysis, tessellation

Domains

tilings, geometry, topology, computational analysis, mathematical art, pattern design, digital illustration, indigenous-inspired ornament

Methods

Ultra Fractal implementation, spreadsheet parameter extraction, curve-tracing program, tessellation joins

Media

square tiles, triangular tiles, hexagonal tiles, fractal coloring formula, circular arcs

Source status

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