A Woven Klein Quartic

Year: 2024 Authors: Chaim Goodman-Strauss

Core claim

A woven construction from heptagons, triangles, and strips yields a practical Klein quartic model whose physical form preserves the strongest symmetry possible in three-dimensional space.

Topics

Klein quartic, hyperbolic tilings, woven surface model, symmetry groups

Domains

topology, hyperbolic geometry, group theory, tiling theory, mathematical art, fabrication, weaving, sculptural model

Methods

geodesic cutting, strip weaving, polygon gluing, symmetry-based construction

Media

paper strips, rings, spraypainted plastic strips, woven physical model

Source status

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