Problem 1 was solved in a more general case. Considering the dissections of the unit square into n rectangles having given areas w1 , • • • , wn the same questions can be asked. The finiteness of the number of such dissections was proved in [1, 3, 9], even in higher dimensions, see [1]. In connection with problem 2, an upper bound O(cn) was given in [3… (More)

On the number of subdivisions of the unit square, In: Finite and Infinite Sets (Eds

I. E. Boros

Lovasz and V. S6s) Proc. Col/. Math. Soc. J…

1981

Theory and application of plane partitions, I and 2

R. P. Stanley

Studies in Appl. Math

1971

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@article{Boros1988RectangularDO,
title={Rectangular Dissections of a Square},
author={Endre Boros and Zolt{\'a}n F{\"{u}redi},
journal={Eur. J. Comb.},
year={1988},
volume={9},
pages={271-280}
}