Ants on the highway
<|reference_start|>Ants on the highway: 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 $1/10^7$ 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.<|reference_end|>
@article{gajardo2024ants,
    title={Ants on the highway},
    author={Anah'i Gajardo (UdeC), Victor Lutfalla (I2M), Micha"el Rao (LIP)},
    journal={arXiv preprint arXiv:2409.10124},
    year={2024},
    archivePrefix={arXiv},
    eprint={2409.10124},
    primaryClass={cs.DM}
}