Voronoi Phyllotaxis Tiling on the Fermat Spiral

Year: 2014 Authors: Akio Hizume; Takamichi Sushida; Yoshikazu Yamagishi

Core claim

Continued fractions let Voronoi phyllotaxis tilings on the Fermat Spiral be generated for the golden ratio and other real numbers.

Topics

phyllotaxis, Voronoi tiling, Fermat Spiral, continued fractions

Domains

geometry, number theory, Voronoi diagrams, quasi-periodic patterns, architecture, product design, 3D printing, installation concepts

Methods

continued fraction convergents, Voronoi cell construction, numerical cell labeling, 3D prototyping

Media

3D printer, physical prototypes, diagram figures, Fermat Spiral plots

Source status

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