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Tiling Bricks with Bricks
Author(s) -
Damiani E.,
D'Antona O.,
Naldi G.,
Pavarino L.
Publication year - 1990
Publication title -
studies in applied mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.164
H-Index - 46
eISSN - 1467-9590
pISSN - 0022-2526
DOI - 10.1002/sapm199083291
Subject(s) - connection (principal bundle) , brick , product (mathematics) , mathematics , algebraic number , polynomial , algebra over a field , combinatorics , pure mathematics , geometry , mathematical analysis , materials science , composite material
The problem addressed by the paper is the filling of a large brick with replicas of smaller bricks of different sizes. We solve this problem by reducing it to an algebraic problem about polynomials. As a by‐product, we obtain new combinatorial interpretations of the connection constants linking some classical polynomial sequences of combinatorics.