User:Polygon/Page for testing

1RB3RB5RA1LB5LA2LB_2LA2RA4RB1RZ3LB2LA (bbch) is the current BB(2,6) champion. It was discovered on the 19th of May 2023 by Pavel Kropitz. It halts with a score > $10\uparrow \uparrow 10\uparrow \uparrow 10^{10^{115}}$.

Analysis by Shawn Ligocki

https://www.sligocki.com/2023/05/20/bb-2-6-p3.html

Analysis
Level 1
These rules can all be verified by direct simulation:
00 <A 212 22^n 55 → <A 212 22^n+2

00 <A 212 22^n 2 55 → <A 212 55^n+2 2

0^5 <A 212 22^n 52 5555 → <A 212 55 2 55^n+3 52
00 <A 212 22^n 2 52 5 → <A 212 55^n+2 52

Level 2
Repeating the first rule above we get:
0^∞ <A 212 22^n 55^k → 0^∞ 212 22^n+2k

which let's is prove Rule 2:
0^∞ <A 212 22^n 2 55 → 0^∞ <A 212 55^n+2 2
                     → 0^∞ <A 212 22^2n+4 2