Can anyone suggest a survey (or surveys) that provides an update to *Tilings and patterns* by Grunbaum and Shepard? If there's a more recent book, that would be fantastic, but I don't see one.


I am most interested in the combinatorics of Wang tilings and other square tilings, with the motivation of applying those techniques to derive upper/lower bounds to constructions in self-assembly.


Thank you.



Tiling survey that updates "Tilings and patterns"?
How is your German? 
MR2219468 (2006m:05054) Ardila, Federico; Stanley, Richard P. Pflasterungen. (German) [Tilings] Math. Semesterber. 53 (2006), no. 1, 17–43. 


MR2133310 (2006e:52036) Zong, Chuanming What is known about unit cubes. Bull. Amer. Math. Soc. (N.S.) 42 (2005), no. 2, 181–211 (electronic). 


MR2087242 (2005e:42071) Kolountzakis, Mihail N. The study of translational tiling with Fourier analysis. Fourier analysis and convexity, 131–187, Appl. Numer. Harmon. Anal., Birkhäuser Boston, Boston, MA, 2004.


MR2005953 (2004k:28011) Jackson, Steve; Mauldin, R. Daniel Survey of the Steinhaus tiling problem. Bull. Symbolic Logic 9 (2003), no. 3, 335–361. 


MR1990769 (2004k:52027) Pak, Igor Tile invariants: new horizons. Tilings of the plane. Theoret. Comput. Sci. 303 (2003), no. 2-3, 303–331. 


MR1242999 (94g:52026) Schulte, Egon Tilings. Handbook of convex geometry, Vol. A, B, 899–932, North-Holland, Amsterdam, 1993. 


