Patterns on the Genus-3 Klein Quartic

Year: 2006 Authors: Carlo H. Séquin

Core claim

The Klein quartic’s symmetry-rich tetrus projection supports diverse mathematically structured and artistically pleasing surface patterns.

Topics

Klein quartic, tessellations and tilings, knots and links, Petrie polygons, 3D physical models

Domains

topology, graph embeddings, Riemann surfaces, hyperbolic geometry, generative art, textile quilting, surface pattern design, sculptural modeling

Methods

3D projection, symmetry analysis, texture mapping, rapid prototyping

Media

quilt, marble sculpture, ceramic glazing, rapid-prototyped models

Source status

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