Practical Electron Microscopy and Database

An Online Book, Second Edition by Dr. Yougui Liao (2006)

Practical Electron Microscopy and Database - An Online Book

Chapter/Index: Introduction | A | B | C | D | E | F | G | H | I | J | K | L | M | N | O | P | Q | R | S | T | U | V | W | X | Y | Z | Appendix

12mm Symmetry

Figure 1446 shows the 2-D (two-dimensional) quasiperiodic dodecagonal Stampfli-type tiling with diffraction symmetry 12mm.

Octagonal Quasicrystal
Octagonal Quasicrystal
(a)
(b)
Figure 1446. 2-D quasiperiodic dodecagonal Stampfli-type tiling with diffraction symmetry 12mm: (a) Black and white formats and (b) Same pattern as (a) but with a highlighted portion. The corresponding four basis vectors a1, a2, a3 and a4 are shown and the linear combinations of r = Σiuiai across all lattice points.