TMBR: July 2025 - Revision history

RobinCodes: /* Champions */ Changed reference links to consistent format

2026-04-11T15:12:37Z

Champions: Changed reference links to consistent format

← Older revision		Revision as of 15:12, 11 April 2026
Line 11:		Line 11:
	== Champions ==		== Champions ==
	* (Late June) mxdys found a pair of new [[BB(6)]] champions pushing it into the pentational values: {{TM\|1RB1RA_1RC1RZ_1LD0RF_1RA0LE_0LD1RC_1RA0RE\|halt}} (scoring over 2↑↑2↑↑2↑↑10) and {{TM\|1RB1LC_1LA1RE_0RD0LA_1RZ1LB_1LD0RF_0RD1RB\|halt}} (scoring over 10↑↑11010000).		* (Late June) mxdys found a pair of new [[BB(6)]] champions pushing it into the pentational values: {{TM\|1RB1RA_1RC1RZ_1LD0RF_1RA0LE_0LD1RC_1RA0RE\|halt}} (scoring over 2↑↑2↑↑2↑↑10) and {{TM\|1RB1LC_1LA1RE_0RD0LA_1RZ1LB_1LD0RF_0RD1RB\|halt}} (scoring over 10↑↑11010000).
	* mxdys confirms dyuan's [[BB(2,5)]] champion {{TM\|1RB3LA4RB0RB2LA_1LB2LA3LA1RA1RZ\|halt}}. [https://discord.com/channels/960643023006490684/1259770421046411285/1379877629288644722]		* mxdys confirms dyuan's [[BB(2,5)]] champion {{TM\|1RB3LA4RB0RB2LA_1LB2LA3LA1RA1RZ\|halt}}.<sup>[https://discord.com/channels/960643023006490684/1259770421046411285/1379877629288644722 <nowiki>[1]</nowiki>]</sup>
	* Nick Drozd discovered a [[Instruction-Limited Busy Beaver\|BBi]](8) champion running <math>> 6.889 \times 10^{1565}</math> steps: {{TM\|1RB1LA------_1RC3LB1RB---_2LA2LC---0LC\|halt}}. [https://discord.com/channels/960643023006490684/1084047886494470185/1398753236835635252]		* Nick Drozd discovered a [[Instruction-Limited Busy Beaver\|BBi]](8) champion running <math>> 6.889 \times 10^{1565}</math> steps: {{TM\|1RB1LA------_1RC3LB1RB---_2LA2LC---0LC\|halt}}.<sup>[https://discord.com/channels/960643023006490684/1084047886494470185/1398753236835635252 <nowiki>[2]</nowiki>]</sup>
	* Shawn Ligocki discovered a [[Reversible Turing Machine\|BB<sub>rev</sub>(6)]] champion running 537,556 steps.		* Shawn Ligocki discovered a [[Reversible Turing Machine\|BB<sub>rev</sub>(6)]] champion running 537,556 steps.

	== Holdouts ==		== Holdouts ==
	[[File:BB6 num holdouts over time.png\|thumb\|Number of [[BB(6)]] holdouts over time]]		[[File:BB6 num holdouts over time.png\|thumb\|Number of [[BB(6)]] holdouts over time]]
	* mxdys announced that [[BB(6)]] is down to 2728 holdouts on 29 July. [https://discord.com/channels/960643023006490684/1239205785913790465/1399783936019664896]		* mxdys announced that [[BB(6)]] is down to 2728 holdouts on 29 July.<sup>[https://discord.com/channels/960643023006490684/1239205785913790465/1399783936019664896 <nowiki>[3]</nowiki>]</sup>
	* A large group effort has enumerated [[BB(7)]] and filtered it down to less than 86 million holdouts. [https://discord.com/channels/960643023006490684/1369339127652159509/1399265628900294686]		* A large group effort has enumerated [[BB(7)]] and filtered it down to less than 86 million holdouts.<sup>[https://discord.com/channels/960643023006490684/1369339127652159509/1399265628900294686 <nowiki>[4]</nowiki>]</sup>

	== BB Adjacent ==		== BB Adjacent ==

Polygon: /* In the News */ Added an article which seems to have been missed

2025-12-07T16:06:45Z

In the News: Added an article which seems to have been missed

← Older revision		Revision as of 16:06, 7 December 2025
Line 35:		Line 35:
	* 2 July 2025. Manon Bischoff. Spektrum. [https://www.spektrum.de/news/mathematik-die-sechste-fleissige-biber-zahl-ist-gigantisch/2274249 Wie der sechste Fleißige Biber die Mathematik an ihre Grenzen bringt].		* 2 July 2025. Manon Bischoff. Spektrum. [https://www.spektrum.de/news/mathematik-die-sechste-fleissige-biber-zahl-ist-gigantisch/2274249 Wie der sechste Fleißige Biber die Mathematik an ihre Grenzen bringt].
	* 7 July 2025. Karmela Padavic-Callaghan. New Scientist. [https://www.newscientist.com/article/2487058-mathematicians-are-chasing-a-number-that-may-reveal-the-edge-of-maths/ Mathematicians are chasing a number that may reveal the edge of maths]. (Paywalled)		* 7 July 2025. Karmela Padavic-Callaghan. New Scientist. [https://www.newscientist.com/article/2487058-mathematicians-are-chasing-a-number-that-may-reveal-the-edge-of-maths/ Mathematicians are chasing a number that may reveal the edge of maths]. (Paywalled)
			* 9 July 2025. David Roberts. [https://thehighergeometer.wordpress.com/2025/07/09/bb547176870-bb6-is-astronomically-larger/ BB(5)=47,176,870: BB(6) is … astronomically larger].
	* 11 July 2025. New Scientist podcast [https://www.newscientist.com/podcasts/how-geoengineering-could-save-us-from-climate-disaster-have-we-broken-mathematics-why-exercise-reduces-cancer-risk/ episode 311]. Discusses mxdys's [[BB(6)]] pentation result "We’re brushing up against the edge of mathematics".		* 11 July 2025. New Scientist podcast [https://www.newscientist.com/podcasts/how-geoengineering-could-save-us-from-climate-disaster-have-we-broken-mathematics-why-exercise-reduces-cancer-risk/ episode 311]. Discusses mxdys's [[BB(6)]] pentation result "We’re brushing up against the edge of mathematics".
	* 11 July 2025. Darren Orf. Popular Mechanics. [https://www.popularmechanics.com/science/math/a65357535/busy-beaver-six/ Mathematicians Say There’s a Number So Big, It’s Literally the Edge of Human Knowledge].		* 11 July 2025. Darren Orf. Popular Mechanics. [https://www.popularmechanics.com/science/math/a65357535/busy-beaver-six/ Mathematicians Say There’s a Number So Big, It’s Literally the Edge of Human Knowledge].

Sligocki: Add navbar

2025-09-05T03:20:22Z

Add navbar

← Older revision		Revision as of 03:20, 5 September 2025
Line 1:		Line 1:
	~~[[TMBR: August 2025~~\|~~TMBR:~~ August 2025 ~~>]]~~[[File:Lovecraft beaver.png\|alt=A monstrous beaver in the style of HP Lovecraft with pink tentacles coming out of its mouth, 5 red spider eyes, horns on its head, elbows and tail, moss colored fur, sharp purple claws and webbed feet.\|thumb\|Lovecraftian Beaver fan art made by Lauren]]		{{TMBRnav\|\|August 2025}}
			[[File:Lovecraft beaver.png\|alt=A monstrous beaver in the style of HP Lovecraft with pink tentacles coming out of its mouth, 5 red spider eyes, horns on its head, elbows and tail, moss colored fur, sharp purple claws and webbed feet.\|thumb\|Lovecraftian Beaver fan art made by Lauren]]
	This is the very first edition of [[:Category:This Month in Beaver Research\|This Month in Beaver Research]] (TMBR pronounced "timber") for July 2025.		This is the very first edition of [[:Category:This Month in Beaver Research\|This Month in Beaver Research]] (TMBR pronounced "timber") for July 2025.

RobinCodes: Added Andrew’s navbar

2025-09-04T04:32:42Z

Added Andrew’s navbar

← Older revision		Revision as of 04:32, 4 September 2025
Line 1:		Line 1:
	[[File:Lovecraft beaver.png\|alt=A monstrous beaver in the style of HP Lovecraft with pink tentacles coming out of its mouth, 5 red spider eyes, horns on its head, elbows and tail, moss colored fur, sharp purple claws and webbed feet.\|thumb\|Lovecraftian Beaver fan art made by Lauren]]		[[TMBR: August 2025\|TMBR: August 2025 >]][[File:Lovecraft beaver.png\|alt=A monstrous beaver in the style of HP Lovecraft with pink tentacles coming out of its mouth, 5 red spider eyes, horns on its head, elbows and tail, moss colored fur, sharp purple claws and webbed feet.\|thumb\|Lovecraftian Beaver fan art made by Lauren]]
	This is the very first edition of [[:Category:This Month in Beaver Research\|This Month in Beaver Research]] (TMBR pronounced "timber") for July 2025.		This is the very first edition of [[:Category:This Month in Beaver Research\|This Month in Beaver Research]] (TMBR pronounced "timber") for July 2025.

Sligocki: Category sorting.

2025-09-02T13:30:38Z

Category sorting.

← Older revision		Revision as of 13:30, 2 September 2025
Line 45:		Line 45:
	* {{TM\|1RB1RE_0RC1RG_1LD0LA_0LE0LF_0RA1RC_1LC0LE_---1RE}}: Counter that transitions into a Bouncer		* {{TM\|1RB1RE_0RC1RG_1LD0LA_0LE0LF_0RA1RC_1LC0LE_---1RE}}: Counter that transitions into a Bouncer
	* {{TM\|1RB2LA2LC---_1LA2RB2RD---_3RB1LC1RD0LA_3LA1RD1LC0RB}}: Sneaky almost-Cryptid		* {{TM\|1RB2LA2LC---_1LA2RB2RD---_3RB1LC1RD0LA_3LA1RD1LC0RB}}: Sneaky almost-Cryptid
	[[Category:This Month in Beaver Research\|~~TMBR:~~2025-07]]		[[Category:This Month in Beaver Research\|2025-07]]

RobinCodes: Most->mostly

2025-08-29T10:09:20Z

Most->mostly

← Older revision		Revision as of 10:09, 29 August 2025
Line 39:		Line 39:

	== Interesting TMs ==		== Interesting TMs ==
	A collection of interesting TMs that were mentioned on Discord, ~~most~~ because of their space-time diagrams or general behavior.		A collection of interesting TMs that were mentioned on Discord, mostly because of their space-time diagrams or general behavior.
	* {{TM\|1RB1LC_1LB0RA_0LD---_1LE0LA_0LF0RG_1LG0LG_0RB1RG}}: Tetrational [[Fractal]]		* {{TM\|1RB1LC_1LB0RA_0LD---_1LE0LA_0LF0RG_1LG0LG_0RB1RG}}: Tetrational [[Fractal]]
	* {{TM\|1RB1RE_1LC0RA_0RF0LD_1LE1LC_1RA0RC_---0RB}}: Skeleton Finger		* {{TM\|1RB1RE_1LC0RA_0RF0LD_1LE1LC_1RA0RC_---0RB}}: Skeleton Finger

Polygon: /* Champions */ Added "halt" to bbch-links of halting TMs

2025-08-16T18:42:05Z

Champions: Added "halt" to bbch-links of halting TMs

← Older revision		Revision as of 18:42, 16 August 2025
Line 9:		Line 9:

	== Champions ==		== Champions ==
	* (Late June) mxdys found a pair of new [[BB(6)]] champions pushing it into the pentational values: {{TM\|1RB1RA_1RC1RZ_1LD0RF_1RA0LE_0LD1RC_1RA0RE}} (scoring over 2↑↑2↑↑2↑↑10) and {{TM\|1RB1LC_1LA1RE_0RD0LA_1RZ1LB_1LD0RF_0RD1RB}} (scoring over 10↑↑11010000).		* (Late June) mxdys found a pair of new [[BB(6)]] champions pushing it into the pentational values: {{TM\|1RB1RA_1RC1RZ_1LD0RF_1RA0LE_0LD1RC_1RA0RE\|halt}} (scoring over 2↑↑2↑↑2↑↑10) and {{TM\|1RB1LC_1LA1RE_0RD0LA_1RZ1LB_1LD0RF_0RD1RB\|halt}} (scoring over 10↑↑11010000).
	* mxdys confirms dyuan's [[BB(2,5)]] champion {{TM\|1RB3LA4RB0RB2LA_1LB2LA3LA1RA1RZ}}. [https://discord.com/channels/960643023006490684/1259770421046411285/1379877629288644722]		* mxdys confirms dyuan's [[BB(2,5)]] champion {{TM\|1RB3LA4RB0RB2LA_1LB2LA3LA1RA1RZ\|halt}}. [https://discord.com/channels/960643023006490684/1259770421046411285/1379877629288644722]
	* Nick Drozd discovered a [[Instruction-Limited Busy Beaver\|BBi]](8) champion running <math>> 6.889 \times 10^{1565}</math> steps: {{TM\|1RB1LA------_1RC3LB1RB---_2LA2LC---0LC}}. [https://discord.com/channels/960643023006490684/1084047886494470185/1398753236835635252]		* Nick Drozd discovered a [[Instruction-Limited Busy Beaver\|BBi]](8) champion running <math>> 6.889 \times 10^{1565}</math> steps: {{TM\|1RB1LA------_1RC3LB1RB---_2LA2LC---0LC\|halt}}. [https://discord.com/channels/960643023006490684/1084047886494470185/1398753236835635252]
	* Shawn Ligocki discovered a [[Reversible Turing Machine\|BB<sub>rev</sub>(6)]] champion running 537,556 steps.		* Shawn Ligocki discovered a [[Reversible Turing Machine\|BB<sub>rev</sub>(6)]] champion running 537,556 steps.

Sligocki: /* Interesting TMs */

2025-08-10T21:16:05Z

Interesting TMs

← Older revision		Revision as of 21:16, 10 August 2025
Line 39:		Line 39:

	== Interesting TMs ==		== Interesting TMs ==
	~~Simply a~~ collection of interesting TMs that were mentioned on Discord, most because of their space-time diagrams or general behavior.		A collection of interesting TMs that were mentioned on Discord, most because of their space-time diagrams or general behavior.
	* {{TM\|1RB1LC_1LB0RA_0LD---_1LE0LA_0LF0RG_1LG0LG_0RB1RG}}: Tetrational [[Fractal]]		* {{TM\|1RB1LC_1LB0RA_0LD---_1LE0LA_0LF0RG_1LG0LG_0RB1RG}}: Tetrational [[Fractal]]
	* {{TM\|1RB1RE_1LC0RA_0RF0LD_1LE1LC_1RA0RC_---0RB}}: Skeleton Finger		* {{TM\|1RB1RE_1LC0RA_0RF0LD_1LE1LC_1RA0RC_---0RB}}: Skeleton Finger

Polygon: Added comma

2025-08-10T09:53:33Z

Added comma

← Older revision		Revision as of 09:53, 10 August 2025
Line 6:		Line 6:
	This was a busy month in BB research with 3 new BB adjacent problems introduced, significant work on [[holdout]] reduction for BB(6) and BB(7), a smattering of new champions discovered and quite a few news articles written about our work.		This was a busy month in BB research with 3 new BB adjacent problems introduced, significant work on [[holdout]] reduction for BB(6) and BB(7), a smattering of new champions discovered and quite a few news articles written about our work.

	We are also delighted to have a new piece of fan art to include in this edition: A Lovecraftian Beaver produced by Lauren a friend of Discord user Fern. We welcome any additional fan art and will gladly add it to future editions!		We are also delighted to have a new piece of fan art to include in this edition: A Lovecraftian Beaver produced by Lauren, a friend of Discord user Fern. We welcome any additional fan art and will gladly add it to future editions!

	== Champions ==		== Champions ==

Sligocki: Aaronson blog post

2025-08-09T23:43:33Z

Aaronson blog post

← Older revision		Revision as of 23:43, 9 August 2025
Line 26:		Line 26:
	== Blog Posts ==		== Blog Posts ==

			* 28 June 2025. Scott Aaronson. [https://scottaaronson.blog/?p=8972 BusyBeaver(6) is really quite large].
	* 3 July 2025. Nick Drozd. [https://nickdrozd.github.io/2025/07/03/busy-beaver-backwards.html Busy Beaver Backwards].		* 3 July 2025. Nick Drozd. [https://nickdrozd.github.io/2025/07/03/busy-beaver-backwards.html Busy Beaver Backwards].
	* 15 July 2025. Nick Drozd. [https://nickdrozd.github.io/2025/07/15/performance-hacks-for-bradys-algorithm.html Performance Hacks for Brady's Algorithm].		* 15 July 2025. Nick Drozd. [https://nickdrozd.github.io/2025/07/15/performance-hacks-for-bradys-algorithm.html Performance Hacks for Brady's Algorithm].

← Older revision		Revision as of 03:20, 5 September 2025
Line 1:		Line 1:
	~~[[TMBR: August 2025~~\|~~TMBR:~~ August 2025 ~~>]]~~[[File:Lovecraft beaver.png\|alt=A monstrous beaver in the style of HP Lovecraft with pink tentacles coming out of its mouth, 5 red spider eyes, horns on its head, elbows and tail, moss colored fur, sharp purple claws and webbed feet.\|thumb\|Lovecraftian Beaver fan art made by Lauren]]		{{TMBRnav\|\|August 2025}}
			[[File:Lovecraft beaver.png\|alt=A monstrous beaver in the style of HP Lovecraft with pink tentacles coming out of its mouth, 5 red spider eyes, horns on its head, elbows and tail, moss colored fur, sharp purple claws and webbed feet.\|thumb\|Lovecraftian Beaver fan art made by Lauren]]
	This is the very first edition of [[:Category:This Month in Beaver Research\|This Month in Beaver Research]] (TMBR pronounced "timber") for July 2025.		This is the very first edition of [[:Category:This Month in Beaver Research\|This Month in Beaver Research]] (TMBR pronounced "timber") for July 2025.

← Older revision		Revision as of 13:30, 2 September 2025
Line 45:		Line 45:
	* {{TM\|1RB1RE_0RC1RG_1LD0LA_0LE0LF_0RA1RC_1LC0LE_---1RE}}: Counter that transitions into a Bouncer		* {{TM\|1RB1RE_0RC1RG_1LD0LA_0LE0LF_0RA1RC_1LC0LE_---1RE}}: Counter that transitions into a Bouncer
	* {{TM\|1RB2LA2LC---_1LA2RB2RD---_3RB1LC1RD0LA_3LA1RD1LC0RB}}: Sneaky almost-Cryptid		* {{TM\|1RB2LA2LC---_1LA2RB2RD---_3RB1LC1RD0LA_3LA1RD1LC0RB}}: Sneaky almost-Cryptid
	[[Category:This Month in Beaver Research\|~~TMBR:~~2025-07]]		[[Category:This Month in Beaver Research\|2025-07]]

← Older revision		Revision as of 18:42, 16 August 2025
Line 9:		Line 9:

	== Champions ==		== Champions ==
	* (Late June) mxdys found a pair of new [[BB(6)]] champions pushing it into the pentational values: {{TM\|1RB1RA_1RC1RZ_1LD0RF_1RA0LE_0LD1RC_1RA0RE}} (scoring over 2↑↑2↑↑2↑↑10) and {{TM\|1RB1LC_1LA1RE_0RD0LA_1RZ1LB_1LD0RF_0RD1RB}} (scoring over 10↑↑11010000).		* (Late June) mxdys found a pair of new [[BB(6)]] champions pushing it into the pentational values: {{TM\|1RB1RA_1RC1RZ_1LD0RF_1RA0LE_0LD1RC_1RA0RE\|halt}} (scoring over 2↑↑2↑↑2↑↑10) and {{TM\|1RB1LC_1LA1RE_0RD0LA_1RZ1LB_1LD0RF_0RD1RB\|halt}} (scoring over 10↑↑11010000).
	* mxdys confirms dyuan's [[BB(2,5)]] champion {{TM\|1RB3LA4RB0RB2LA_1LB2LA3LA1RA1RZ}}. [https://discord.com/channels/960643023006490684/1259770421046411285/1379877629288644722]		* mxdys confirms dyuan's [[BB(2,5)]] champion {{TM\|1RB3LA4RB0RB2LA_1LB2LA3LA1RA1RZ\|halt}}. [https://discord.com/channels/960643023006490684/1259770421046411285/1379877629288644722]
	* Nick Drozd discovered a [[Instruction-Limited Busy Beaver\|BBi]](8) champion running <math>> 6.889 \times 10^{1565}</math> steps: {{TM\|1RB1LA------_1RC3LB1RB---_2LA2LC---0LC}}. [https://discord.com/channels/960643023006490684/1084047886494470185/1398753236835635252]		* Nick Drozd discovered a [[Instruction-Limited Busy Beaver\|BBi]](8) champion running <math>> 6.889 \times 10^{1565}</math> steps: {{TM\|1RB1LA------_1RC3LB1RB---_2LA2LC---0LC\|halt}}. [https://discord.com/channels/960643023006490684/1084047886494470185/1398753236835635252]
	* Shawn Ligocki discovered a [[Reversible Turing Machine\|BB<sub>rev</sub>(6)]] champion running 537,556 steps.		* Shawn Ligocki discovered a [[Reversible Turing Machine\|BB<sub>rev</sub>(6)]] champion running 537,556 steps.