TMBR: July 2025: Difference between revisions

Revision as of 21:33, 6 August 2025

The very first edition of This Month in Beaver Research for July 2025.

(Late June) mxdys found a pair of new BB(6) champions pushing it into the pentational values: 1RB1RA_1RC1RZ_1LD0RF_1RA0LE_0LD1RC_1RA0RE (bbch) (scoring over 2↑↑2↑↑2↑↑10) and 1RB1LC_1LA1RE_0RD0LA_1RZ1LB_1LD0RF_0RD1RB (bbch) (scoring over 10↑↑11010000).
mxdys confirms dyuan's BB(2,5) champion 1RB3LA4RB0RB2LA_1LB2LA3LA1RA1RZ (bbch). [1]
Nick Drozd discovered a BBi(8) champion running $>6.889\times 10^{1565}$ steps: 1RB1LA------_1RC3LB1RB---_2LA2LC---0LC (bbch). [2]
Shawn Ligocki discovered a BB_rev(6) champion running 537,556 steps.

mxdys announced that BB(6) is down to 2728 holdouts on 29 July. [3]
A large group effort has enumerated BB(7) and filtered it down to less than 86 million holdouts. [4]

1RB1LC_1LB0RA_0LD---_1LE0LA_0LF0RG_1LG0LG_0RB1RG (bbch): Tetrational Fractal
1RB1RE_1LC0RA_0RF0LD_1LE1LC_1RA0RC_---0RB (bbch): Skeleton Finger
1RB1RG_1LC1RA_0LD0LC_0RE0RB_1RE1RF_1LD0LC_0LE--- (bbch): Bouncer that transitions into a Counter
1RB1RE_0RC1RG_1LD0LA_0LE0LF_0RA1RC_1LC0LE_---1RE (bbch): Counter that transitions into a Bouncer
1RB2LA2LC---_1LA2RB2RD---_3RB1LC1RD0LA_3LA1RD1LC0RB (bbch): Sneaky almost-Cryptid

@@ Line 15: / Line 15: @@
 == BB Adjacent ==
 * [[Instruction-Limited Busy Beaver]] was introduced and calculated up to BBi(7).
-* [[Reversible Turing Machine]] Busy Beaver values were calculated up to BB_rev(5).
+* [[Reversible Turing Machine]] Busy Beaver values were calculated up to BB<sub>rev</sub>(5).
 * [[Terminating Turmite]]s (Relative Movement Turing Machines) was introduced.