Put two points on the same side of a blue parallelogram, then put third point on an adjoining paral. Congratulations, you've just made a p1 tiling pattern.


oblique (p1, p2)
rectangular (pm, pg, p2mm, p2mg, p2gg)
centered rectangular (cm, c2mm)
square (p4, p4mm, p4gm)
hexagonal (p3, p3m1, p31m, p6, p6mm)