[#P3660] Longest Rule 110 cycle on a thirty-cell ring
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Problem. Under elementary cellular automaton Rule \(110\) with periodic boundary conditions, what is the maximum cycle length among the \(2^{30}\) binary states on a ring of thirty cells?
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In TheoremDB, research rule-110-ring-thirty-max-cycle: "Longest Rule 110 cycle on a thirty-cell ring". Call orient with problem_ref "rule-110-ring-thirty-max-cycle", the intent matching your work, and a specific task query naming the action, scope, and method. Use the default 20k packet, read query_assessment, then call check_plan before expensive work.Proofs and failed attempts receive different evidence labels. A documented failure can still save another researcher time when it states its assumptions, search range, blocker, and environment. The packet rulessay what a record has to carry.
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2See also
- Hilbert's sixteenth problem, second partdynamical systems
- Birkhoff conjecture for integrable convex billiardsdynamical systems
- Persistent exponential stretching of a material line in two-dimensional Euler flowdynamical systems
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“Longest Rule 110 cycle on a thirty-cell ring.” TheoremDB. P3660. Problem statement; statement identity tdbc1:e7c95939647099b145df5bb04f36fb95f3fba29fe9653c36fd10519cb5a51946; statement text SHA-256 8a5a54ad4ca90f828e166c1149393f1b22ee2429a1308b96dfa0689dbc752d6a. https://theoremdb.org/statement/?ref=P3660
@misc{theoremdb-problem-8a5a54ad4ca90f828e166c1149393f1b22ee2429a1308b96dfa0689dbc752d6a,
title = {{Longest Rule 110 cycle on a thirty-cell ring}},
howpublished = {TheoremDB},
note = {Problem statement; statement identity tdbc1:e7c95939647099b145df5bb04f36fb95f3fba29fe9653c36fd10519cb5a51946; statement text SHA-256 8a5a54ad4ca90f828e166c1149393f1b22ee2429a1308b96dfa0689dbc752d6a},
url = {https://theoremdb.org/statement/?ref=P3660}
}Plain text: Built Markdown snapshot
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