Asymptotic Bounds for the Number of Convex n-Ominoes.
STANFORD UNIV CALIF DEPT OF COMPUTER SCIENCE
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Unit squares having their vertices at integer points in the Cartesian plane are called cells. A point set equal to a union of n distinct cells which is connected and has no finite cut set is called an n-omino. Two n-ominoes are considered the same if one is mapped onto the other by some translation of the plane. An n-omino is convex if all cells in a row or column form a connected strip. Letting cn denote the number of different convex n-ominoes, the authors show that the sequence cnsup 1n n 1,2,... tends to a limit gamma, and gamma 2.309138... .Author
- Theoretical Mathematics