Resenhas IME-USP 1995, Vol. 2, No. 2, 239-252.

An Overview of Domino and Lozenge Tilings

Nicolau C. Saldanha

Instituto de Matemática Pura e Aplicada
Estrada Dona Castorina 110
22460-320 Rio de Janeiro, RJ
Brazil
E-mail address: nicolau@impa.br

and

Carlos Tomei

Pontifícia Universidade Católica do Rio de Janeiro
Rua Marquês de São Vicente 225
22453-900 Rio de Janeiro, RJ
Brazil
E-mail address: tomei@impa.br

Abstract

We consider tilings of quadriculated regions by dominoes and of triangulated regions by lozenges. We present an overview of results concerning tileability, enumeration and the structure of the space of tilings.


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