Triple Gear

Year: 2013 Authors: Saul Schleimer; Henry Segerman

Core claim

Three identical linked gears can be arranged as a tracked, epicyclic, symmetric design by using a three-component Hopf link and helical screw geometry.

Topics

linked gears, compound movement, topological link, paradoxical gearing

Domains

topology, knot theory, 3-manifold geometry, group symmetry, mathematical art, mechanical design, kinetic sculpture, graphic design

Methods

axiomatic analysis, topological classification, geometric argument, cross-sectional view

Media

rings, helical screws, involute planar gears, torus

Source status

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