Playing with the Möbius Band

Year: 2010 Authors: Eleonóra Stettner

Core claim

Möbius-band boundaries and multiply twisted strips can realize frieze-group symmetries, including cases whose quotient space is a Möbius band.

Topics

Möbius band, frieze patterns, rosette groups, quotient spaces

Domains

topology, symmetry groups, plane geometry, group actions, frieze design, folk art, Hungarian string-decorations, pattern making

Methods

computer modeling, geometric analysis, twisted strip construction, pattern classification

Media

paper strip, rectangle, Maple, boundary projections

Source status

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