LIM is not slim

In this paper LIM, a recently proposed impartial combinatorial ruleset, is analyzed. A formula to describe the $\mathcal{G}$ ‐values of LIM positions is given, by way of analyzing an equivalent combinatorial ruleset LIM’, closely related to the classical nim. Also, an enumeration of $\mathcal{P}$ ‐positions of LIM with $n$ stones, and its relation to the Ulam‐Warburton cellular automaton, is presented.