Surface-Tiling Curves

Year: 2023 Authors: Adam Rowe

Core claim

A recursively built surface-tiling curve can be connected across non-branching polyhedron nets to form a continuous unicursal path on the shell.

Topics

space-filling curves, polyhedron nets, fractal iteration, unicursal paths

Domains

geometry, fractal curves, polyhedra, Gaussian and Eisenstein domains, mathematical art, surface design, sculptural objects, visualization

Methods

recursive construction, tile transformation, net folding, physical prototyping

Media

paint on oxidized steel, paint on steel, waxed oxidized steel, paper figures

Source status

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