The Vitruvian Figure of Eight

Year: 2010 Authors: Joel C. Langer

Core claim

The lemniscate has a rich intrinsic symmetry and curvature structure that can be explained through linkages, inversion, and projective geometry.

Topics

Bernoulli lemniscate, hidden symmetry, intrinsic geometry, stereographic projection, curvature

Domains

plane curves, complex analysis, differential geometry, elliptic integrals, group symmetry, mathematical visualization, perspective, Renaissance art

Methods

linkage construction, complex inversion, stereographic projection, curvature plots, geometric interpretation

Media

Figures 1-4, plane curve diagrams, contour plots, linkage mechanisms

Source status

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