LEGO configuration counts grow exponentially with tile number n, conjectured as A(w) mu(w)^n / n for 2D and A mu^n / n^{3/2} for 3D with mu approximately 117.25, while fixed-n counts in width w are proven to be polynomials of degree n-1.
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Counting LEGO configurations
LEGO configuration counts grow exponentially with tile number n, conjectured as A(w) mu(w)^n / n for 2D and A mu^n / n^{3/2} for 3D with mu approximately 117.25, while fixed-n counts in width w are proven to be polynomials of degree n-1.