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

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== Progress by domain ==
== Progress by domain ==
As of 26 October 2025:
As of 26 November 2025:


<code>Only domains with active filtering going on (decider-wise): BB(3x4) Xnoob and Lúkos</code>   
<code>Only domains with active filtering going on (decider-wise): BB(3x4) Xnoob and Lúkos</code>   
{| class="wikitable"
{| class="wikitable"
|+
|+ Work on BB Domains
!Domain
! !!2-state!!3-state !!4-state!!5-state!!6-state  
!2-state
!3-state
!4-state
!5-state
!6-state
!7-state
!7-state
!'''8-state'''
|-
|-
! 2-symbol  
!2-symbol
| [[BB(2)]] = 6
|0
| [[BB(3)]] = 21
|0
| [[BB(4)]] = 107
|0
| [[BB(5)]] = 47,176,870
|0
2 Jul 2024
July 2, 2024
| style="background: orange;" | 1414
|1,527
[https://docs.google.com/spreadsheets/d/10y2aMp9yZVLyN-nXAxgA25rw4EA_lJqn3Vxy2kB-m-U/ Holdouts list]
(2+5 informal)
16+8 Cryptids, Exhausted
Exhausted
| style="background: orange;" | 20,405,295
 
15+3 Cryptids found
 
(3 probable)
|20,405,295
No Handwork
No Handwork
Andrew Ducharme,
Andrew Ducharme,
Terry Ligocki
Terry Ligocki
Phase 2, Stage 5
Phase 2, Stage 5
|???
|-
|-
!3-symbol
! 3-symbol
|0
| [[BB(2,3)]] = 38
|4+3
| style="background: orange;" | 4
Exhausted
[[BB(3,3)#Holdouts|Holdouts list]]
 
(3 informal)
(3 informal)
 
1 Cryptid, Exhausted
1 Cryptid
| style="background: #ffe4b2;" | 9,401,447
| 9,401,447
No Handwork  
No Handwork  
Terry Ligocki Phase 2, Stage 2
Terry Ligocki Phase 2, Stage 2
|???
| style="background: #ffe4b2;" |
|
| style="background: #ffe4b2;" |
|
| style="background: #ffe4b2;" |
|
|-
|-
!4-symbol
! 4-symbol
|0
| [[BB(2,4)]] = 3,932,964
Aug. 22, 2024
| style="background: #ffe4b2;" | 15,136,283
|15,136,283
No Handwork  
No Handwork  
[[User:XnoobSpeakable|XnoobSpeakable,]][[User:WarpedWartWars|Lúkos]]
[[User:XnoobSpeakable|XnoobSpeakable,]] [[User:WarpedWartWars|Lúkos]]


Phase 2, Stage 8 (in progress)
Phase 2, Stage 8 (in progress)
|???
| style="background: #ffe4b2;" |
|
| style="background: #ffe4b2;" |
|
| style="background: #ffe4b2;" |
|
| style="background: #ffe4b2;" |
|
|-
|-
!5-symbol
! 5-symbol  
|64
| style="background: orange;" | 64
Exhausted
[[BB(2,5)#Holdouts|Holdouts list]]
(11 informal)
(11 informal)


2+4 Cryptids (4 probable)
2+4 Cryptids
|???
| style="background: #ffe4b2;" |
|
| style="background: #ffe4b2;" |
|
| style="background: #ffe4b2;" |
|
| style="background: #ffe4b2;" |
|
| style="background: #ffe4b2;" |
|
|-
|-
!6-symbol
! 6-symbol  
|870,085
| style="background: #ffe4b2;" | 870,085
No Handwork
No Handwork, Exhausted
Exhausted
| style="background: #ffe4b2;" |
|???
| style="background: #ffe4b2;" |
|
| style="background: #ffe4b2;" |
|
| style="background: #ffe4b2;" |
|
| style="background: #ffe4b2;" |
|
|
|-
|-
!7-symbol
!7-symbol
|Enumeration started!
| style="background: #ffe4b2;" |Enumeration started!
00xxx done.
02xxx done
Expected no. of holdouts: 2'500'000'000
 
|
(3/100)
|
 
|
Expected no. of holdouts: 3B
|
| style="background: #ffe4b2;" |
|
| style="background: #ffe4b2;" |
|
| style="background: #ffe4b2;" |
|-
| style="background: #ffe4b2;" |
!8-symbol
| style="background: #ffe4b2;" |
|
|
|
|
|
|
|
|}
|}
<small>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.</small>
== Informal and unverified proofs by domain ==
== Informal and unverified proofs by domain ==
'''Unconfirmed, informal proofs of machines for each domain by equivalence class:'''
'''Unconfirmed, informal proofs of machines for each domain by equivalence class: 15 total'''
{| class="wikitable"
{| class="wikitable"
!Domain
!Domain
Line 125: Line 98:
|0
|0
|0
|0
|2
|2+6
|-
|-
!3-symbol
!3-symbol
|0
|0
|4
|3
| ----
| ----
| ---
| ---
Line 148: Line 121:
| ---
| ---
|}
|}
<small>15 total by eqv. class and proof count. 18 by individual machine.</small>
<small>'''14'''+6 total by eqv. class and proof count. 16+6 by individual machine.</small>


=== [[BB(6)]]: 15 November 2025 ===
=== [[BB(6)]]: 29 November 2025 ===


===== 3 informal (2 informal by eqv. class) =====
===== 2+6 informal =====


* [https://discord.com/channels/960643023006490684/1239205785913790465/1431225455557611611 Racheline]:
* Likely correct: (2)
*# >1RB0RB_1LB0LC_1RD1LC_1RE0RA_1RF0RB_---1LB
** [https://discord.com/channels/960643023006490684/1421782442213376000/1431483206208852001 Shawn, star, Pomme, @mxdys]: BMO 7
*# 1RB0RB_1LB0LC_1RD1LC_1RE0RA_0RF0RB_---0LA (equivalence)
** mxdys, Pomme, Autumn Pan, vyx<sup>[https://discord.com/channels/960643023006490684/1239205785913790465/1441124403801755730 <nowiki>[1]</nowiki>][https://discord.com/channels/960643023006490684/1443295684878143579/1443295684878143579 <nowiki>[2]</nowiki>][https://discord.com/channels/960643023006490684/1443295684878143579/1444047803935490190 <nowiki>[3]</nowiki>][https://discord.com/channels/960643023006490684/1443295684878143579/1444051070186819836 <nowiki>[4]</nowiki>]</sup>: 1RB1LA_1RC1RE_1LD0RB_1LA0LC_0RF0RD_0RB---
* [https://discord.com/channels/960643023006490684/1421782442213376000/1431483206208852001 Shawn, star, Pomme, @mxdys]: BMO 7
* Very unlikely to be correct: (6), see [https://docs.google.com/spreadsheets/d/10y2aMp9yZVLyN-nXAxgA25rw4EA_lJqn3Vxy2kB-m-U spreadsheet] (Search term: "unverified result").


=== [[BB(3,3)]]: 25 October 2025 ===
=== [[BB(3,3)]]: 25 October 2025 ===


===== 3 informal, 1 unconfirmed by eqv. class and individual =====
===== 3 informal =====


* Legion: ([[Longitudinal Analysis|long. analysis]]) informal
* Legion: ([[Longitudinal Analysis|long. analysis]]) informal
Line 168: Line 141:
*# 1RB0RC---_2RC0LB1LB_2LC2RA2RB ([https://discord.com/channels/960643023006490684/1084047886494470185/1256729514076016733 3])
*# 1RB0RC---_2RC0LB1LB_2LC2RA2RB ([https://discord.com/channels/960643023006490684/1084047886494470185/1256729514076016733 3])


* [https://discord.com/channels/960643023006490684/1259770474897080380/1430531925315031172 @furnleaf]: 1RB1LB2LC_1LA2RB1RB_---0LA2LA (397) erroneous, [https://discord.com/channels/960643023006490684/1259770474897080380/1430557898269790248 currently attempting fix]
* [https://discord.com/channels/960643023006490684/1259770474897080380/1430531925315031172 @furnleaf]: 1RB1LB2LC_1LA2RB1RB_---0LA2LA (397) ''erroneous'', [https://discord.com/channels/960643023006490684/1259770474897080380/1430557898269790248 currently attempting fix]


=== [[BB(2,5)]]: 25 October 2025 ===
=== [[BB(2,5)]]: 25 October 2025 ===

Latest revision as of 11:59, 29 November 2025

Progress by domain

As of 26 November 2025:

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

Work on BB Domains
2-state 3-state 4-state 5-state 6-state 7-state
2-symbol BB(2) = 6 BB(3) = 21 BB(4) = 107 BB(5) = 47,176,870

2 Jul 2024

1414

Holdouts list 16+8 Cryptids, Exhausted

20,405,295

No Handwork Andrew Ducharme, Terry Ligocki Phase 2, Stage 5

3-symbol BB(2,3) = 38 4

Holdouts list (3 informal) 1 Cryptid, Exhausted

9,401,447

No Handwork Terry Ligocki Phase 2, Stage 2

4-symbol BB(2,4) = 3,932,964 15,136,283

No Handwork XnoobSpeakable, Lúkos

Phase 2, Stage 8 (in progress)

5-symbol 64

Holdouts list (11 informal)

2+4 Cryptids

6-symbol 870,085

No Handwork, Exhausted

7-symbol Enumeration started!

02xxx done

(3/100)

Expected no. of holdouts: 3B

Informal and unverified proofs by domain

Unconfirmed, informal proofs of machines for each domain by equivalence class: 15 total

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

14+6 total by eqv. class and proof count. 16+6 by individual machine.

BB(6): 29 November 2025

2+6 informal

BB(3,3): 25 October 2025

3 informal
  • 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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