On the entropy of LEGO
Combinatorics
2010-09-16 v2
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.
Cite
@article{arxiv.math/0504039,
title = {On the entropy of LEGO},
author = {Bergfinnur Durhuus and Soren Eilers},
journal= {arXiv preprint arXiv:math/0504039},
year = {2010}
}
Comments
13 pages, 7 figures. Revised version: Minor corrections, page 9