# Original "Pattern Drawing" from Bollmanns Book

| This is a drawing from Bollmanns book (with some color added). It shows the pattern in O-lattice cells as defined in the backbone text.
|  | This drawing probably had to be done by hand with a high precision - some work! Most of the other pictures in Bollmanns book are rather complicated too, and this explains why they are so poorly described in the captions and the text:
|  | After conceiving and finishing a picture like this, you are so intimately familiar with everything it contains - you can't imagine that others are not immediately aware of everything it projects!
|  | What exactly are the dashed lines in some of the pattern elements? It is not explained anywhere - can you figure it out?
| This is an O-lattice belonging to a CSL lattice, i.e. a special O-lattice with a periodic structure; S = 53 in this case. One oft the pattern elements was marked yellow.
|  | The red points are coincidence points oft the lattices (i.e. the coinciding equivalence points are lattice points), they constitue the CSL lattice.
|  | This is shown by drawing in one more O-point on the outside of the picture with one lattice marked in blue. It is evident that there is indeed a coincidence of the lattice points.
|  | Note that all points in the center of the cells containing patterns are O-points, too. The O-lattice thus has a much smaller lattice constant than the CSL lattice.

With frame

7.3.4 Periodic O-Lattices and Pattern Elements

© H. Föll (Defects - Script)