TMBR: January 2026: Difference between revisions
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Added champions section with BLB(3,3) |
→Champions: added TT(4) and TT(2,4) |
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* [[User:Azerty|Azerty]] discovered a new [[BLB|BLB(3,3)]] [[champion]] ({{TM|1RB2RB1LA_2LC0LB2LB_2RC2RA0LC}}) which blanks the tape after running for more than 10<sup>42,745</sup> steps. | * [[User:Azerty|Azerty]] discovered a new [[BLB|BLB(3,3)]] [[champion]] ({{TM|1RB2RB1LA_2LC0LB2LB_2RC2RA0LC}}) which blanks the tape after running for more than 10<sup>42,745</sup> steps. | ||
* Azerty discovered <code>1TB1PA_1PC0PA_1TA0PD_---1TA</code>, a [[TT|TT(4,2)]] TM which runs for 48,186 steps and <code>1TA2PB3TB---_3TA1PB1TA1PA</code>, a [[TT|TT(2,4)]] TM which runs for more than 3.467*10<sup>15</sup> steps. | |||
== BB Adjacent == | == BB Adjacent == | ||
Revision as of 22:55, 9 January 2026
| Prev: December 2025 | This Month in Beaver Research | Next: February 2026 |
This edition of TMBR is in progress and has not yet been released. Please add any notes you think may be relevant (including in the form a of a TODO with a link to any relevant Discord discussion).
This is the first edition of TMBR in 2026.
Champions
- Azerty discovered a new BLB(3,3) champion (
1RB2RB1LA_2LC0LB2LB_2RC2RA0LC(bbch)) which blanks the tape after running for more than 1042,745 steps. - Azerty discovered
1TB1PA_1PC0PA_1TA0PD_---1TA, a TT(4,2) TM which runs for 48,186 steps and1TA2PB3TB---_3TA1PB1TA1PA, a TT(2,4) TM which runs for more than 3.467*1015 steps.
BB Adjacent
- Uniform-Action Busy Beavers were introduced, and lower bounds have been given up to BBu(6) (with BBu(3)=17)
Holdouts
- BB(6): 2 solved machines.
- Progress has been made in reducing the list of machines not simulated up to 1e13, by Alistaire: see spreadsheet. Current count: 210. (Total reduction: 68. 38 machines[1][2][3][4][5][6][7][8][9][10][11][12][13][11 more][4 more][10 more][11 more][17 more] simulated out, plus 2 solved machines).
- Alistaire found a halting machine in the list mentioned above, see Discord. Approximate score: 4e12. Later, he found another halting machine in the same list, see Discord - approximate score: 1.5e18.