On the entropy of LEGO

Mathematics – Combinatorics

Scientific paper

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13 pages, 7 figures. Revised version: Minor corrections, page 9

Scientific paper

We propose the further study of the rate of growth of the number of
contiguous buildings which may be made from n LEGO blocks of the same size and
color. Specializing to blocks of dimension 2x4 we give upper and lower bounds,
and speculate on the true value.

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