Tricurves: Behind and Beyond Tiling

Year: 2024 Authors: Timothy C. Lexen

Core claim

Tricurves are geometrically rich shapes whose arc-based structure creates elegant constructions, notable 1:2:3 properties, and non-intuitive scaling limits.

Topics

monohedral tilings, arc geometry, shape scaling, 1:2:3 tricurves

Domains

Euclidean geometry, tiling theory, proportionality, Law of Sines, generative pattern design, puzzle design, radial patterning

Methods

geometric decomposition, lens construction, grid-based scaling, visual comparison

Media

paper puzzles, curved arc shapes, diagrams, tiling figures

Source status

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