Polymetric Brick Wall Patterns and Two-Dimensional Substitutions
Michel Dekking
3TU Applied Mathematics Institute
and
Delft University of Technology
Faculty EWI
P. O. Box 5031
2600 GA Delft
The Netherlands
Abstract:
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