# Design a Tile for the p3 Wallpaper Group

Design a Tile for the p3 Wallpaper Group

A wallpaper group (or plane symmetry group) describes the symmetries of a two-dimensional repeating pattern. The p3 group can be thought of as a hexagonal lattice, where each hexagon is comprised of three copies of a rhombus rotated around the hexagon's center. This Demonstration lets you change the three spline curves connecting three corners of the rhombus, which gives an interesting tessellation of the plane using a single tile.