Anahí GajardoUdeC, Victor LutfallaI2M, Michaël RaoLIP
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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.
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