TMBR: October 2025: Difference between revisions

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{{TMBRnav|September 2025|November 2025}}''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).''
{{TMBRnav|September 2025|November 2025}}''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).''
[[File:Wily Coyote Roadrunner Naming.png|thumb|[[Wily Coyote]], a [[BB(3,3)]] holdout]]
 
== Misc ==
TODO: Add the mechanical Turing Machine. discord source: https://discord.com/channels/960643023006490684/1362008236118511758/1425889021653160026 and onwards[[File:Wily Coyote Roadrunner Naming.png|thumb|[[Wily Coyote]], a [[BB(3,3)]] holdout]]


== Blog Posts ==
== Blog Posts ==


* ? Oct 2025.  Katelyn Doucette. [https://katelyndoucette.com/articles/building-the-busy-beaver-ladder Building the Busy Beaver Ladder].
* ? Oct 2025.  Katelyn Doucette. [https://katelyndoucette.com/articles/building-the-busy-beaver-ladder Building the Busy Beaver Ladder].
== Champions ==
* [[BB(4,3)|BB(4,3):]]
**TODO: Pavel's potential champions


== Holdouts ==
== Holdouts ==
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** Andrew Ducharme has continued reducing the [[BB(7)#Phase 2|number of holdouts]] with Stage 4 of Phase 2. Initially, in the beginning of the month there were 22,801,601 holdouts, and 22,721,168 holdouts remain. (0.35% reduction)
** Andrew Ducharme has continued reducing the [[BB(7)#Phase 2|number of holdouts]] with Stage 4 of Phase 2. Initially, in the beginning of the month there were 22,801,601 holdouts, and 22,721,168 holdouts remain. (0.35% reduction)
*[[BB(3,4)|BB(3,4):]]
*[[BB(3,4)|BB(3,4):]]
**[[User:XnoobSpeakable|XnoobSpeakable]] and [[User:WarpedWartWars|Lúkos]] are running filters in the domain under Phase 2, reducing the holdout count from 434,787,751 to 26,266,261 (93.96% reduction).
**[[User:XnoobSpeakable|XnoobSpeakable]] and [[User:WarpedWartWars|Lúkos]] are running filters in the domain under Phase 2, reducing the holdout count from 434,787,751 to 17,983,810 (95.86% reduction).
*[[BB(4,3)|BB(4,3):]]
**Terry Ligocki has begun phase 2 of holdout reduction, reducing the number of holdouts from 460,916,384 to 11,985,999. (97.4% reduction)
*[[BB(2,6)|BB(2,6):]]
**Andrew Ducharme has completed stage 3 of phase 2, reducing the number of holdouts from 873,469 to 870,085. (0.39% reduction)
*TODO: BB(4,3) and BB(6). Also update to wherever 3x4 will be at the time.
*TODO: BB(4,3) and BB(6). Also update to wherever 3x4 will be at the time.



Latest revision as of 15:25, 19 October 2025

Prev: September 2025 This Month in Beaver Research Next: November 2025

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).

Misc

TODO: Add the mechanical Turing Machine. discord source: https://discord.com/channels/960643023006490684/1362008236118511758/1425889021653160026 and onwards

Wily Coyote, a BB(3,3) holdout

Blog Posts

Champions

  • BB(4,3):
    • TODO: Pavel's potential champions

Holdouts

  • BB(7):
    • Andrew Ducharme has continued reducing the number of holdouts with Stage 4 of Phase 2. Initially, in the beginning of the month there were 22,801,601 holdouts, and 22,721,168 holdouts remain. (0.35% reduction)
  • BB(3,4):
    • XnoobSpeakable and Lúkos are running filters in the domain under Phase 2, reducing the holdout count from 434,787,751 to 17,983,810 (95.86% reduction).
  • BB(4,3):
    • Terry Ligocki has begun phase 2 of holdout reduction, reducing the number of holdouts from 460,916,384 to 11,985,999. (97.4% reduction)
  • BB(2,6):
    • Andrew Ducharme has completed stage 3 of phase 2, reducing the number of holdouts from 873,469 to 870,085. (0.39% reduction)
  • TODO: BB(4,3) and BB(6). Also update to wherever 3x4 will be at the time.

Theory

TODO: Update this section after studying existing literature a bit more.

Linear-Inequality Affine Transformation Automata (LIATA) were introduced as a generalization of the BMO1 rules:

  • @Bard proved that 3 dimension LIATA are Turing complete: [1]
  • @star proved that 2 dimension LIATA are Turing complete: [2]
  • BMO1 is a 2d-LIATA so this provides some sense for the difficulty of the problem.

Programming

TODO: Add -d's cpp quick_sim project. Discord source: https://discord.com/channels/960643023006490684/1226543091264126976/1426265937455222794