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Computational hierarchy of elementary cellular automata (arxiv.org)
37 points by fanf2 13 days ago | hide | past | favorite | 4 comments

Elementary cellular automata are wonderfully intuitive, great aids for my sluggish brain when contemplating about complexity and more philosphical stuff like digital ontology. In the Wolfram physics project live streams they've been exploring concepts similar to this, I believe.

are you aware of any voxel-space toys that can run these? 'cause i think that -- as volumetric beings, we need that space to think right. will check out the vids. tyvm!

They can certainly be generalized to voxel space, though I personally prefer the simplicity of the 1D case as a toy mental model. You can check out chapter 5 in NKS: https://www.wolframscience.com/nks/chap-5--two-dimensions-an...

I really like the mode of deduction used here. Together with the topic, CA, the researchers have probably uncovered something profound.

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