05/12/2020
An inspiring Tuesday automaton featuring a binary single-neighbor rule, with each inactive cell activated when it has precisely one active neighbor, and is then for a total of nine steps, cycling through color states, before becoming inactive again. Only inactive cells are subject to the single-neighbor rule — those that reach the top active state revert to inactive regardless of how many neighbors they have.
This is similar to the automaton in our previous short video, "A persistent one-neighbor rule," which featured a fifteen-step cycle with a similar setup: https://www.youtube.com/watch?v=qrVh25usLt0
As we've discussed elsewhere, the spiral tiling of superhexagonal grids induces a sort of chiral behavior on wraparound automata — a denizen of our origin cell heading towards any of its six edges would eventually come back one row or column of cells away from their starting point. This means that after a certain progression of states many initially-fully-symmetric states will become chiral (that is, having a form that will be different when mirrored — i.e. having "handedness"). What was interesting about these rules when I first experimented with them was the lag in the induction of this chirality. A similar, sixteen-state rule on a 90-cell grid took over 1,600 steps before chirality overtook the cells near the starting point (which happened to be the origin but which could have been anywhere). Being a smaller grid with a somewhat tighter holding sequence, the present model wraps around relatively quickly — in the first third or so of this video. Nonetheless we have named the video in honor of this effect, as we draw inspiration from this chiral assault on the reflection-symmetric pretenses of our once-ordered core world about the origin. From the farthest reaches of the eccentric wilderness, it bears down relentlessly and without mercy or respite on all our long-held symmetric ideals.
The music is a selection from a recent neural network, augmented with a bassline and some tasteful background tones.
For more exciting automata videos plz see our YouTube channel, "Hexagonal Awareness": https://www.youtube.com/channel/UCf-ml0bmw7OJZHZCIB0cx3g