The Hairy Klein Bottle

Year: 2019 Authors: Daniel Cohen; Shai Gul

Core claim

A tactile Klein bottle model can help audiences understand that this non-orientable surface supports a continuous nowhere-zero vector field.

Topics

topology, vector fields, non-orientable surfaces, mathematical sculpture

Domains

algebraic topology, differential topology, Euler characteristic, Poincaré-Hopf theorem, industrial design, tactile sculpture, exhibition design, mathematics visualization

Methods

wire mesh prototyping, hexagonal lattice frame, fabric layering, sewing and bending

Media

1mm pliable steel wire, stiff cotton fabric, shaggy textile, 4mm acrylic

Source status

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