Polygon Spirals

Year: 2016 Authors: Nick Mendler

Core claim

For regular n-gon chains, the nested spiral ratio is 2 cos(π / n), yielding logarithmic polygon spirals with centers on a spiral of turning angle π / n.

Topics

logarithmic spirals, regular polygons, recursive art

Domains

geometry, trigonometry, fractal-like recursion, generative art, algorithmic imagery, geometric pattern design

Methods

similar triangles, analytic derivation, randomized generation

Media

mathematical notation, latex, digital images

Source status

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