On the entropy of LEGO

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.

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

Cited by in corpus (1)

• Enumeration of pyramids of one-dimensional pieces of arbitrary fixed integer length