Geoweaving: Fold-Up Baskets from Dessins d’Enfants

Year: 2022 Authors: James Mallos

Core claim

A dessin d’enfant can directly specify a woven basket whose structure mirrors a ramified covering of the sphere and folds into a single stack of triangles.

Topics

dessins d’enfants, basket weaving, Riemann surfaces, graph transformations

Domains

graph theory, topology, Riemann surfaces, combinatorics, craft, textile design, visual art, surface patterning

Methods

canonical quadrangulation, Cori representation, refractive path drawing, fold-up construction

Media

paper, weaving strands, colored pencils, transparent tape

Source status

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