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LIM is not slim |
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| Authors: | Alex Fink Aviezri S Fraenkel Carlos Santos |
| Institution: | 1. Department of Mathematics, North Carolina State University, Raleigh, NC, USA 2. Department of Computer Science and Applied Mathematics, Weizmann Institute of Science, Rehovot, ?76100, Israel 3. High Institute of Education and Science, CIMA-UE, Lisbon, Portugal |
| Abstract: | 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. |
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