Field Patterns

FIELD PATTERNS result when symmetrical repetition takes place in two directions, thus forming a two-dimensional pattern that covers the plane. There are seventeen (17) systems which mathematicians classify as symmetry groups:

translations	reflections	reflections + reflections
glide reflections	reflections + glide reflections	rotations (2)
reflections + rotations (2)	rotations (2) + glide reflections	rotations (2) + reflections + reflections
rotations (4)	reflections + rotations (4)	rotations (4) + reflections
rotations (3)	reflections + rotations (3)	rotations (3) + reflections

rotations (6)

reflections + rotations (6)