Wallpaper Classification Algorithm

There are seventeen types of wallpaper patterns. To use the algorithm first determine the highest order of rotational symmetry and then follow the appropriate diagram below.

Standard forms and notation for wallpaper groups.nNotationPoint group1p1C12pmD13pgD14cmD15p2C16p2mm or pmm D17p2mgD28p2gg or pggD29c2mm or cmmD210p3C311p3m1D312p31mD313p4C414p4mm or p4mD415p4gm or p4gD416p6C617p6mm or p6mD6

(1) Wallpaper p1

(2) Wallpaper pm

(3) Wallpaper pg

(4) Wallpaper cm

(5) Wallpaper p2

(6) Wallpaper p2mm or pmm

(7) Wallpaper p2mg or pmg

(8) Wallpaper p2gg or pgg

(9) Wallpaper c2mm or cmm

(10) Wallpaper p3

(11) Wallpaper p3m1