2024/09/16 by Anahí Gajardo, Gajardo, Anahí, Victor Lutfalla +3 · 2 citations
Biochemistry, Genetics and Molecular Biology · #Discrete Mathematics (cs.DM) #FOS: Computer and information sciences #Insect and Arachnid Ecology and Behavior
paper · pdf · doi:10.48550/arxiv.2409.10124
openalex publication_date 2024/09/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We perform intensive computations of Generalised Langton's Ants, discovering rules with a big number of highways. We depict the structure of some of them, formally proving that the number of highways which are possible for a given rule does not need to be bounded, moreover it can be infinite. The frequency of appearing of these highways is very unequal within a given generalised ant rule, in some cases these frequencies where found in a ratio of 1/107 in simulations, suggesting that those highways that appears as the only possible asymptotic behaviour of some rules, might be accompanied by a big family of very infrequent ones.