Invertible Infinity: A Toroidal Fashion Statement

Year: 2017 Authors: Ellie Baker; Charles Wampler

Core claim

A Möbius ribbon-foldable toroidal scarf can be made inversion-invariant while folding to the same planar triangular layout, with the hexagonal seam arrangement giving the shortest possible seam length.

Topics

infinity scarf design, torus inversion, ribbon folding, fabric layout

Domains

topology, geometry, inversion symmetry, Möbius twist, fashion design, textile craft, mathematical art, garment construction

Methods

geometric analysis, layout comparison, sewing instructions, fabric construction

Media

flexible fabric, French seams, reversible cloth, equilateral triangle folding

Source status

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