The Flat Klein Bottle Rendered in Curved-Crease Origami

Year: 2021 Authors: Stepan Paul

Core claim

Curved-crease origami with inelastic film can realize an explicit three-dimensional visualization of a flat Klein bottle that is locally isometric except at self-intersections and a finite set of singularities.

Topics

Klein bottle, flat geometry, curved-crease origami, 3D visualization

Domains

topology, differential geometry, geometric topology, isometric mappings, origami sculpture, mathematical visualization, paper craft, color patterning

Methods

curved-crease origami, local isometry, edge identification, colored grid design

Media

printed transparency film, three-dimensional sculpture, photograph, uniform grid pattern

Source status

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