A Method for Illustrating Border and Wallpaper Patterns

Gwen L. Fisher
Renaissance Banff: Mathematics, Music, Art, Culture (2005)
Pages 511–518


Illustrations were designed to help students produce their own examples of the 7 border symmetry groups and the 17 wallpaper symmetry groups. The images attempt to guide the viewer through their stages of development, from simple to complicated. The intention is to allow one to see, step by step, how each drawing was made with the use of a base grid. A student can draw examples of all of the border and wallpaper groups with the use of just two grids: the standard square grid and the isometric grid.