Journal of Integer Sequences, Vol. 16 (2013), Article 13.2.4

Polymetric Brick Wall Patterns and Two-Dimensional Substitutions

Michel Dekking
3TU Applied Mathematics Institute
Delft University of Technology
Faculty EWI
P. O. Box 5031
2600 GA Delft
The Netherlands


Polymetric walls are walls built from bricks in more than one size. Architects and builders want to built polymetric walls that satisfy certain structural and aesthetical constraints. In a recent paper by de Jong, Vinduska, Hans and Post these problems are solved by integer programming techniques, which can be very time consuming for patterns consisting of more than 40 bricks. Here we give an extremely fast method, generating patterns of arbitrary size.

Full version:  pdf,    dvi,    ps,    latex    

Received May 15 2012; revised version received August 10 2012. Published in Journal of Integer Sequences, March 2 2013.

Return to Journal of Integer Sequences home page