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.



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