Hilbert’s Portrait via his Space-Filling Curve

Year: 2020 Authors: Judy A. Holdener

Core claim

A single space-filling curve can encode a recognizable portrait by mapping image brightness to local pipe width in a 3D-printed model.

Topics

space-filling curves, 3D-printed portrait, grayscale encoding, visual perception

Domains

topology, geometric recursion, continuous mappings, mathematical visualization, generative art, optical illusion, portraiture, 3D design

Methods

Python scripting, Rhino modeling, recursive curve construction, 3D printing

Media

Thermoplastic Polyurethane (TPU) filament, 3D printer, photograph, Rhino

Source status

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