This carpet shows many color changes within the cells of an irregular
rectangular grid. Color placement, however, is determined quite carefully by
what mathematicians call the "knight's move," referring to the restricted
movement of the knight in chess, across two squares, over one.
The field pattern is composed of rectangular cells of two colors with seemingly infinite minor variations of form. See if you can trace the placement of the green and red cells. Now, try tracing a cell of another color. Look at the rectangular grid composed of red and white knots. Can you find examples of symmetry-breaking here, too?
View Symmetries (Larger Image)