User:RobinCodes/Work on BB Domains: Difference between revisions

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m →Informal and unverified proofs by domain: Added correct BB(3,3) informal proof count to table and updated footnote.
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== Progress by domain ==
== Progress by domain ==
As of 25 October 2025:
As of 26 October 2025:


<code>Only domains with active filtering going on (decider-wise): BB(7) Terry Ligocki</code>  
<code>Only domains with active filtering going on (decider-wise): BB(3x4) Xnoob and Lúkos</code>
{| class="wikitable"
{| class="wikitable"
|+
|+
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Exhausted
Exhausted


15 Cryptids found
15+3 Cryptids found
|22,721,168 Phase 2, Stage 4
 
(3 probable)
|20,405,295
Andrew Ducharme,
Terry Ligocki
Phase 2, Stage 5
|???
|???
|-
|-
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|0
|0
Aug. 22, 2024
Aug. 22, 2024
|15,564,491
|15,136,283
[[User:XnoobSpeakable|XnoobSpeakable]] and [[User:WarpedWartWars|Lúkos]] currently filtering
[[User:XnoobSpeakable|XnoobSpeakable,]][[User:WarpedWartWars|Lúkos]]


Phase 2, Stage 6
Phase 2, Stage 8 (in progress)
|???
|???
|
|
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|-
|-
!5-symbol
!5-symbol
|66
|64
Exhausted
Exhausted
(9 informal)
(11 informal)


2+4 Cryptids (4 probable)
2+4 Cryptids (4 probable)
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*# [[Beaver Math Olympiad#3. 1RB0RB3LA4LA2RA 2LB3RA---3RA4RB (bbch) and 1RB1RB3LA4LA2RA 2LB3RA---3RA4RB (bbch)|BMO 3]] (2 machines in 1 eqv. class) ([https://discord.com/channels/960643023006490684/1084047886494470185/1252634913220591728 source])
*# [[Beaver Math Olympiad#3. 1RB0RB3LA4LA2RA 2LB3RA---3RA4RB (bbch) and 1RB1RB3LA4LA2RA 2LB3RA---3RA4RB (bbch)|BMO 3]] (2 machines in 1 eqv. class) ([https://discord.com/channels/960643023006490684/1084047886494470185/1252634913220591728 source])
*# 1RB4LA1LB2LA0RB_2LB3RB4LA---1RA ([https://discord.com/channels/960643023006490684/1259770421046411285/1290449717536489622 source])
*# 1RB4LA1LB2LA0RB_2LB3RB4LA---1RA ([https://discord.com/channels/960643023006490684/1259770421046411285/1290449717536489622 source])
*# Skelet 17-like dekaheptoid, unverified: [[1RB3RB1LB---2RB_2LA1RA4LB2LA2RA]] ([https://discord.com/channels/960643023006490684/1259770421046411285/1267650177389432913 source]), equivalently 1RB3RA2LB1LB1RB_2LA2RA4LA1LA---  
*# Dekaheptoid, unverified: [[1RB3RB1LB---2RB_2LA1RA4LB2LA2RA]] ([https://discord.com/channels/960643023006490684/1259770421046411285/1267650177389432913 source]), equivalently 1RB3RA2LB1LB1RB_2LA2RA4LA1LA---  
*# BMO 3 variant: 1RB0RA3LA4LA2RA_2LB3LA---4RA3RB ([https://discord.com/channels/960643023006490684/1259770421046411285/1415337575543214132 source])
*# BMO 3 variant: 1RB0RA3LA4LA2RA_2LB3LA---4RA3RB ([https://discord.com/channels/960643023006490684/1259770421046411285/1415337575543214132 source])
* Legion:
* Legion:

Latest revision as of 10:48, 27 October 2025

Progress by domain

As of 26 October 2025:

Only domains with active filtering going on (decider-wise): BB(3x4) Xnoob and Lúkos

Domain 2-state 3-state 4-state 5-state 6-state 7-state 8-state
2-symbol 0 0 0 0

July 2, 2024

1,616

(2 informal) Exhausted

15+3 Cryptids found

(3 probable)

20,405,295

Andrew Ducharme, Terry Ligocki Phase 2, Stage 5

???
3-symbol 0 4+3

Exhausted

(3 informal)

1 Cryptid

9,401,447

Terry Ligocki Phase 2, Stage 2

???
4-symbol 0

Aug. 22, 2024

15,136,283

XnoobSpeakable,Lúkos

Phase 2, Stage 8 (in progress)

???
5-symbol 64

Exhausted (11 informal)

2+4 Cryptids (4 probable)

???
6-symbol 870,085

Exhausted

???
7-symbol ???

I also wanted to study at what point are domains infeasible with reasonable resources and time, but this is for the future of this page. ???? And after are almost completely unexplored.

Informal and unverified proofs by domain

Unconfirmed, informal proofs of machines for each domain by equivalence class:

Domain 2-state 3-state 4-state 5-state 6-state
2-symbol 0 0 0 0 3
3-symbol 0 4 ---- --- ---
4-symbol 0 --- --- --- ---
5-symbol 9 --- --- --- ---

16 total by eqv. class and proof count. 19 by individual machine.

BB(6): 25 October 2025

3 informal, 1 unconfirmed (2 informal 1 unconfirmed by eqv. class)

BB(3,3): 25 October 2025

3 informal, 1 unconfirmed by eqv. class and individual
  • Legion: (long. analysis) informal
    1. 1RB2LB0LC_2LA2RA1RB_---2LA1LC (1)
    2. 1RB1LC1LC_1LA2RB0RB_2LB---0LA (2)
    3. 1RB0RC---_2RC0LB1LB_2LC2RA2RB (3)

BB(2,5): 25 October 2025

9 informal, 2 unverified (8 informal, 1 unverified by eqv. class)
  • Dyuan:
    1. BMO 3 (2 machines in 1 eqv. class) (source)
    2. 1RB4LA1LB2LA0RB_2LB3RB4LA---1RA (source)
    3. Dekaheptoid, unverified: 1RB3RB1LB---2RB_2LA1RA4LB2LA2RA (source), equivalently 1RB3RA2LB1LB1RB_2LA2RA4LA1LA---
    4. BMO 3 variant: 1RB0RA3LA4LA2RA_2LB3LA---4RA3RB (source)
  • Legion:
    1. 1RB2RA3LA4LA2RB_2LA---1LA1RA3RA (1)
    2. 1RB3LA4LA1LA2RA_2LA4RB---0RA0LA (2)
    3. 1RB3LA4LA2RB1LA_2LA4RB---3RA3LA (3)
  • Racheline: 1RB2LB---4LB0RB_1LA3RB4RB4RA1LB
  • Peacemaker II: 1RB2LA0LB1LA2RA_0LA3RA1RA4LB---
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