Introducing the Möbius-Twisted Turk’s Head Knot

Year: 2015 Authors: Carlo H. Séquin; Lorenzo Larrucea

Core claim

A Turk’s Head knot can be reconfigured into a Möbius-twisted, single-filament braid by adjusting parity, edge patterns, and end-joining with a half-twist.

Topics

Turk’s Head knot, Möbius band, braided patterns, knot construction

Domains

knot theory, topology, braid parameters, parity constraints, craft braiding, leatherwork, paper sculpture, decorative design

Methods

pattern derivation, pegboard weaving, substitution method, paper-strip construction

Media

latigo leather, rawhide, colored paper strips, HSB color space

Source status

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