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Goals over each module’s verified metrics. A challenge completes automatically the first time a cloud save’s server-verified scores meet it — completions are permanent achievements.
Sign in to track your progress — the games themselves need no account.
Rotates 5 Oct 2026
Full Tape
Find a halting machine leaving 50 of the maximum ones for its state count.
Settle It
Prove the fate of 50% of the machines in your window — halted or provably looping.
Complete Sweep
Sweep an entire enumeration so the search finishes (coverage 100).
First Beaver
Find a halting machine that gets at least halfway to the record for its state count (record 50 or higher).
Tier 1 · ~5 min
Finish the Search
Sweep an entire enumeration — coverage 100 — so the champion you found is not a guess but the answer.
Tier 1 · ~5 min
Record Holder
Find a machine that matches the published busy beaver number for its state count (record 100).
Tier 3 · ~40 min
Most Ones
Find a halting machine that leaves the maximum possible ones on the tape (ones 100).
Tier 3 · ~40 min
Nobody Knows
Build a window where more than half the machines are undecided — decided below 50 — while at least one of them still halts. Not a failure: a demonstration.
Tier 2 · ~15 min
Proof and Search
Decide 60% of a window while still finding a machine at 80 or more of the record — certainty and discovery in the same sweep.
Tier 3 · ~15 min