1RB0LB2LA 1LA0RC0LB 2RC2RB0LC: Difference between revisions
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Created a page so it's easier to find the article (by nickdrozd) about BBB(3,3). |
Actually, linking to the champions page here makes no sense |
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{{TM| | {{machine|1RB0LB2LA_1LA0RC0LB_2RC2RB0LC}} | ||
{{TM|1RB0LB2LA_1LA0RC0LB_2RC2RB0LC}} is the current [[Beeping Busy Beaver#Champions|BBB(3,3)]] champion. It was discovered in March 2025 by Nick Drozd and runs for <math>10 \uparrow \uparrow 6</math> steps before [[Quasihalt|quasihalting]].<ref>https://groups.google.com/g/busy-beaver-discuss/c/EuIXSir4Eps</ref> | |||
== | == Analysis by [[User:Sligocki|Shawn Ligocki]] == | ||
<pre> | |||
D(a, d) = 0^inf <C 0^a 1 2^d 1 0^inf | |||
D(a, d+3) --> D(2^{a+6} - 2, d) | |||
D(a, 0) --> Spin out | |||
D(a, 1) --> C(14, a+1) | |||
D(a, 2) --> C(14, a+4) | |||
Start: D(14, 2) | |||
This is actually a Collatz-like pentation-level TM that got unlucky! Each "reset" it iterates a tetration level function: | |||
D(14, 3k+r) --> D(> 2^^k, r) | |||
But in this case, the TM only resets once before spinning out: | |||
D(14, 2) --> D(14, 18) --> Spin out | |||
</pre> | |||
== See also == | |||
https://nickdrozd.github.io/2025/03/24/bbb-3-3.html | https://nickdrozd.github.io/2025/03/24/bbb-3-3.html | ||
== References == | |||
[[Category:BB(3,3)]] | |||
Latest revision as of 18:52, 6 February 2026
1RB0LB2LA_1LA0RC0LB_2RC2RB0LC (bbch) is the current BBB(3,3) champion. It was discovered in March 2025 by Nick Drozd and runs for steps before quasihalting.[1]
Analysis by Shawn Ligocki
D(a, d) = 0^inf <C 0^a 1 2^d 1 0^inf
D(a, d+3) --> D(2^{a+6} - 2, d)
D(a, 0) --> Spin out
D(a, 1) --> C(14, a+1)
D(a, 2) --> C(14, a+4)
Start: D(14, 2)
This is actually a Collatz-like pentation-level TM that got unlucky! Each "reset" it iterates a tetration level function:
D(14, 3k+r) --> D(> 2^^k, r)
But in this case, the TM only resets once before spinning out:
D(14, 2) --> D(14, 18) --> Spin out
See also
https://nickdrozd.github.io/2025/03/24/bbb-3-3.html