Some Polyomino Tilings of the Plane

Details Some Polyomino Tilings of the Plane Some Polyomino Tilings of the Plane

1999-05-03

arxiv.org/abs/math/9905012v1

Mathematics

Combinatorics

Scientific paper

We calculate the generating functions for the number of tilings of rectangles
of various widths by the right tromino, the $L$ tetromino, and the $T$
tetromino. This allows us to place lower bounds on the entropy of tilings of
the plane by each of these. For the $T$ tetromino, we also derive a lower bound
from the solution of the Ising model in two dimensions.

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