Wallpaper Patterns from Looping Strands: The Layer Groups

Year: 2021 Authors: Frank A. Farris

Core claim

Looping-strand artworks from 3-space can realize the 80 layer groups, extending wallpaper symmetry beyond the usual 17 groups.

Topics

layer groups, wallpaper symmetry, looping strands, periodic knots, artistic pattern design

Domains

group theory, Euclidean isometries, crystallography, symmetry classification, mathematical art, digital artworks, weaving patterns, Celtic knots

Methods

group extension analysis, Fourier series construction, symmetry classification, digital illustration

Media

3D strands, digital artworks, woven patterns, looping pipes

Source status

This page publishes metadata and extracted analytical signals only. Raw PDF and full OCR text are kept local for now.