Frieze Decompositions of Wallpaper Patterns: Origami Models for the cmm Class

Year: 2024 Authors: Rachel Quinlan

Core claim

Intrinsic frieze decompositions can distinguish six cmm subtypes and be embodied in physically interchanged origami models.

Topics

wallpaper symmetry, frieze decomposition, origami models, cmm classification

Domains

symmetry groups, crystallographic patterns, periodic plane patterns, origami, mathematical art, pattern design, tessellation

Methods

symmetry classification, strip decomposition, local pleat reorientation, physical model construction

Media

paper origami, precreased square grid, backlit photograph

Source status

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