Wallpaper Patterns for Lattice Designs

Year: 2020 Authors: Laura Taalman; Carolyn Yackel

Core claim

Under square-tile and translation constraints, the authors enumerate the wallpaper symmetries available to their Symmetry Generator and show how to export them as knitting patterns or punch cards.

Topics

wallpaper patterns, lattice symmetries, knitting design, symmetry software

Domains

plane symmetry groups, lattice translations, orbifold notation, dihedral group D4, fiber arts, textile design, cross-stitch, knitwear

Methods

symmetry enumeration, discrete square lattice, Processing, OpenSCAD

Media

square tiles, black-and-white pixels, hand knitting patterns, punch cards

Source status

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