About Symmetry

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)

[Symmetry] [Asymmetry] [Basic Symmetries] [Border Patterns] [Field Patterns] [Grids]
[About Symmetry and Pattern]
[Title Page]


© 1997-2012 The Textile Museum & The Math Forum @ Drexel
Viewers' Comments || Contact Us