Unicursal Corrugated Baskets

Year: 2024 Authors: James Mallos

Core claim

A basket made from one closed ribbon can be corrugated by controlling crossing angles, and the feasible structures correspond to knot projections with simple, bipartite Tait graphs.

Topics

basket weaving, knot theory, graph coloring, topographic texture

Domains

knot theory, planar graphs, Tait graphs, spanning trees, basket making, craft design, textile structure, three-dimensional form

Methods

locked-crossing weaving, graph enumeration, checkerboard coloring, physical prototyping

Media

65-lb cardstock, Cricut Maker 3, transparent tape, aluminum basket maquette

Source status

This page publishes metadata and extracted analytical signals only. Raw PDF and full OCR text are kept local for now.