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» Planar Dimer Tilings
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CSR
2006
Springer
15 years 3 months ago
Planar Dimer Tilings
Olivier Bodini, Thomas Fernique
119
Voted
COCOON
2010
Springer
15 years 5 months ago
Auspicious Tatami Mat Arrangements
The main purpose of this paper is to introduce the idea of tatami tilings, and to present some of the many interesting and fun questions that arise when studying them. Roughly spea...
Alejandro Erickson, Frank Ruskey, Mark Schurch, Je...
91
Voted
WMTE
2005
IEEE
15 years 5 months ago
SmartTiles: Mobility and Wireless Programmability in Children's Construction and Crafts
This paper presents a working prototype of a mobile, programmable set of construction kit elements for children. SmartTiles are small, lightweight, independently programmable tile...
Nwanua Elumeze, Michael Eisenberg
COMBINATORICS
2000
114views more  COMBINATORICS 2000»
14 years 12 months ago
Trees and Matchings
In this article, Temperley's bijection between spanning trees of the square grid on the one hand, and perfect matchings (also known as dimer coverings) of the square grid on ...
Richard Kenyon, James Gary Propp, David Bruce Wils...
COMBINATORICS
2002
87views more  COMBINATORICS 2002»
14 years 12 months ago
Kasteleyn Cokernels
We consider Kasteleyn and Kasteleyn-Percus matrices, which arise in enumerating matchings of planar graphs, up to matrix operations on their rows and columns. If such a matrix is ...
Greg Kuperberg