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arXiv:math/0504039math.CO

On the entropy of LEGO

Bergfinnur Durhuus, Soren Eilers

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Abstract

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.

arXiv comments
13 pages, 7 figures. Revised version: Minor corrections, page 9
Journal reference
DOI
Subjects
math.COCombinatorics

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  1. Is this Duplo train track under too much tension? 1 comment

    • Look into the work of Søren Eilers https://arxiv.org/abs/math/0504039 https://www.tandfonline.com/doi/abs/10.4169/amer.math.monthl... (for the latter: use sci-hub) Then there is also work for the 2D case by Tricia Muldoon Brown…

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