1083x1431 Traditional Wallpaper Patterns Group ... Apr 2026

: The highest order of rotation (1, 2, 3, 4, or 6).

These groups are classified by the types of isometries (distance-preserving transformations) they contain: 1083x1431 Traditional Wallpaper Patterns Group ...

: Possible orders are 2, 3, 4, or 6 (180°, 120°, 90°, and 60°). Reflections : Mirror symmetry across an axis. : The highest order of rotation (1, 2, 3, 4, or 6)

: A combination of a reflection and a translation along the mirror axis. Understanding the Notation (IUC) : A combination of a reflection and a

A "wallpaper group" is a mathematical classification system for two-dimensional repetitive patterns based on their symmetries. There are exactly that can tile a plane, a fact famously proven by Evgraf Fedorov and later George Pólya. The 17 Wallpaper Groups

: m for mirrors, g for glides, or 1 for no symmetry in that direction.

: Every wallpaper group must have translations in two independent directions.