The seventeen wallpaper groups

Type of content
Publisher's DOI/URI
Thesis discipline
Degree name
Bachelor of Science with Honours
Publisher
University of Canterbury. Mathematics and Statistics
Journal Title
Journal ISSN
Volume Title
Language
Date
2007
Authors
Lightfoot, Ash
Abstract

Wallpaper patterns are categorised into lattices. A case-by-case analysis of each group of orthogonal transformations which preserve a lattice is used to develop the seventeen wallpaper groups. All the elements of each wallpaper group are described and their uniqueness is demonstrated.

Description
Citation
Keywords
Ngā upoko tukutuku/Māori subject headings
ANZSRC fields of research
Fields of Research::49 - Mathematical sciences::4904 - Pure mathematics::490404 - Combinatorics and discrete mathematics (excl. physical combinatorics)
Fields of Research::49 - Mathematical sciences::4904 - Pure mathematics::490407 - Mathematical logic, set theory, lattices and universal algebra
Rights
Copyright Ash Lightfoot