ConwayLife.com

rutabaga wrote: October 31st, 2024, 6:16 am Where are we in FGH right now? It's been the same notation this entire page and most of the previous one but I don't understand it.

rutabaga wrote: October 31st, 2024, 6:16 am Where are we in FGH right now? It's been the same notation this entire page and most of the previous one but I don't understand it.

CARuler wrote: November 30th, 2024, 12:59 pm TREE((0)(10^[10]10,10^[10]10,..[(0)(TREE(3),TREE(3)[10]],10^[10]10)[10])

rutabaga wrote: October 31st, 2024, 6:16 am Where are we in FGH right now? It's been the same notation this entire page and most of the previous one but I don't understand it.

same here

rutabaga wrote: October 31st, 2024, 6:16 am Where are we in FGH right now? It's been the same notation this entire page and most of the previous one but I don't understand it.

I'll go with g^81422(81422) using Stage Array Notation if that's bigger, but I have no clue how big the previous notation was.

• Not Life/CA-related.
• Too big jumps (again, "inherently problematic"). Is it really that fun to jump from something like 12 to something like 12^^^^12?
• Relatively obscure notations, where the game devolves into "who knows more obscure notations" instead of "who can define a bigger number using only available tools, while following shared ground rules".

• eRroR_6o6 wrote: September 11th, 2024, 10:13 amthis thread seems to be slowly devolving into insanity

• TREE(3)

• Keep things CA-related, do not just post arbitrary large numbers.
• Try to make as small jump as possible, but without relying in any way on any previously posted definition. For example, if the previous number was defined as 3^3^3, then posting "3^3^3+1" is disallowed because it obviously uses the same idea, while posting "19 x 28 x 37 x 19441 x 19927" might be allowed even though it defines the exact same number.
• Avoid using obscure notations few people understand.
• Avoid using notations you yourself don't understand.
• Avoid anything ill-defined.
• Only finite numbers.

CARuler wrote: December 1st, 2024, 9:12 pm10^^10

calcyman wrote: September 28th, 2023, 7:52 am

toroidalet wrote: September 28th, 2023, 2:17 am Compacted 112*89 diehard:

Code: Select all

x = 112, y = 89, rule = LifeSuper
21.8Q20.12Q4.5Q2.Q15.2M15.Q$22.Q4.Q22.Q3.2Q8.2Q.Q.4Q.Q13.2M8.2Q5.Q$
44.2M4.Q4.2Q9.4Q27.Q2.Q4.Q$45.M4.2Q46.2Q8.2Q$45.M.M8.Q3.M24.2M21.Q.Q$
46.2M3.Q.2Q.Q2.M25.2M22.Q$51.2Q6.3M3.2M$40.3O8.2Q12.2M21.2M8.M$31.2Q
6.3O46.2M6.3M4.2M$31.2Q13.pA9.3M36.M7.2M$45.pA.pA8.M38.2M$46.pA8.3M$
24.2M11.pA11.pA4.2pA7.2M35.2M7.3M$24.2M6.O3.pA.pA9.pA.pA4.2pA6.2M4.Q
30.2M6.M.M$32.2O3.pA11.pA2.pA.pA13.Q.Q37.M$32.2O6.pA5.pA22.2Q35.M.M.
2M$33.O5.pA.pA3.pA.pA5.pA3.pA5.2Q20.M2.M19.2M.M$40.pA5.pA6.pA2.pA.pA
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pA8.pA.pA20.pA8.S5.S7.3M18.3Q.2Q$29.pA10.pA3.2pA13.pA10.S.S3.S.S5.M7.
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5.pA.pA6.S5.S33.Q.Q$6.O.O14.2W19.2pA10.O3.pA.pA4.S.S3.S.S12.Q17.Q2.Q.
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4.Q$8.O.O8.2W5.W.W4.2W4.2pA23.S.S3.S.S8.3M9.Q$6.O.O.2O7.2W7.W10.2pA
24.S5.S8.M3.M8.Q$6.2O19.W.2W21.2S8.S5.S24.Q$22.2W4.W2.W4.2U15.S7.S.S
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3U.U8.S5.S7.pA$13.W2.W3.W4.2W5.U.U5.U4.U5.U4.S5.S9.pA.pA24.2Q$2.W.W.W
2.W2.W3.W3.W12.U11.U2.3U4.S.S3.S.S9.pA.pA22.Q2.Q$3.2W4.W.W5.2W.W.2W6.
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3.U2.U.2U10.S7.S3.S3.pA.pA14.2M6.Q$7.2W3.3W4.W.W8.U5.2U5.2U13.S.S4.S.
S2.S.S3.pA.pA5.2M6.2M$2W.W2.W2.2W2.W.2W3.2W5.U5.U25.S4.S.S4.2S4.pA.pA
4.M$.2W.W4.2W3.2W10.U.U3.U.U20.S8.2S12.pA.pA4.3M$.2W.W.2W2.W2.W2.W10.
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2.Q.Q$2W2.W.3W.W2.W8.U2.U3.U.U14.O5.S5.S48.Q.Q.Q$W2.W.2W4.W2.W3.W3.U.
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S3.2S6.2S11.2S7.2M17.Q$W4.3W2.2W14.2U7.3U11.S5.S6.S6.S2.S10.S.S23.Q$
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3.4M8.U.U9.O7.S5.S9.S7.S11.S.S18.3Q.2Q$2W2.W2.W2.W2.W.2M4.2M7.U8.O6.S
5.S15.Q4.3S10.2S18.2Q3.Q$3W4.W4.2W.2M5.M4.U7.2O2.2O4.S.S3.S.S13.Q.Q6.
S30.2Q.2Q$2W9.3W3.2M.M.M3.U.U4.3O.O.O6.S5.S9.2U3.2Q6.2S30.Q$.W3.3W5.W
8.M4.U4.O4.O.O3.S5.S12.U43.3Q2.Q$4.W13.M3.M8.O.4O.O3.S.S3.S.S9.U.U43.
2Q.Q.Q$18.M4.M7.O4.O6.S5.S9.U.U$20.3M3.M3.2O.2O.O9.S12.2U9.M$20.2M4.M
5.O2.O3.2S4.S.S9.2U5.2M3.M.M.2M$26.2M4.O.O4.S2.S3.S9.U.U5.2M2.M.3M.2M
24.M.M.M.M2.M$28.M4.O6.3S14.U11.6M27.M.2M2.2M$28.3M12.2S6.U2.U5.U12.M
31.2M2.M.M$34.M7.S2.S7.2U2.U3.2U3.U33.M2.M.M5.M$32.M9.S.S6.2U.U.U.U3.
U2.U35.3M2.3M2.M$28.M4.4M6.S4.U2.6U.U2.U3.U2.M5.M.M.2M23.3M4.Q$30.M.M
16.2U3.2U6.2U2.U.5M.M2.3M14.M7.4M4.2Q$30.2M5.M14.4U2.4U.U8.M3.2M12.M.
5M3.5M3.Q.2Q$29.2M3.M.2M13.2U.U3.3U2.U3.U3.M4.2M14.2M.2M4.M.M.M5.Q$
28.M3.M4.M.M8.3U2.2U4.U3.U.U2.2M3.2M2.M.M13.2M2.2M6.MQ$30.M2.M14.2U4.
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2.M9.M3.2M.6M2.M.M6Q$34.4M10.U4.U.4U2.U.2U2.UM.M.M2.3M11.M2.M3.5Q2.2M
.2Q.Q!

Also, some yellow tubs were shifted to add an eater (it was very lucky that the eater barely misses the two boats with tails).

EDIT: And some lime tubs were added. They don't delay the fuse, but they still require two block pulls after it to clean up. The tub catalysis was another stroke of luck.

Impressive! This has a lifespan slightly greater than:

121 ^^ (121^121^121^121^121^121^121^121^121^1356648129958673823266622201465466300)

which is in turn greater than 11 ^^^ 3 in Knuth's up-arrow notation. (11 ^^^ 3 is a tighter lower bound than 121 ^^ (121 ^^ 10), as well as being more succinct. Each time we add an extra block-destroyer, that '11' will increment, until it gets to 25; the pattern stops there because 26^26 is larger than the number of loaves produced by the first fuse.)

unname4798 wrote: December 2nd, 2024, 2:29 am121^^121

CARuler wrote: December 2nd, 2024, 11:41 pm let f(x,y)=f(x,y-1)!,f(x,0)=x

CARuler wrote: December 2nd, 2024, 11:41 pm let f(x,y)=f(x,y-1)!,f(x,0)=x
f(10^10,10^10)

get_Snacked wrote: December 3rd, 2024, 12:06 am

CARuler wrote: December 2nd, 2024, 11:41 pm let f(x,y)=f(x,y-1)!,f(x,0)=x

FYI, this is just an iterated factorial. i'm going to change the name of this function to f2(x,y), so that confocaloid's function can be kept.
speaking of which, my number is f2(f(50,50),f(50,50)).

CARuler wrote: December 3rd, 2024, 11:41 am h(N_N,N_N,N_N)_N

get_Snacked wrote: December 3rd, 2024, 11:50 am

CARuler wrote: December 3rd, 2024, 11:41 am h(N_N,N_N,N_N)_N

what does the _N mean at the end?

get_Snacked wrote: December 2nd, 2024, 4:53 pm let N_m be equal to:

Code: Select all

1 + prod(i=1)(m)(f(P_i,11))

, where P_k is the k'th prime number.
my number is N_N^^^N_N.

CARuler wrote: January 24th, 2025, 11:10 pm

get_Snacked wrote: December 3rd, 2024, 11:50 am

CARuler wrote: December 3rd, 2024, 11:41 am h(N_N,N_N,N_N)_N

what does the _N mean at the end?

this:

get_Snacked wrote: December 2nd, 2024, 4:53 pm let N_m be equal to:

Code: Select all

1 + prod(i=1)(m)(f(P_i,11))

, where P_k is the k'th prime number.
my number is N_N^^^N_N.

CARuler wrote: January 24th, 2025, 11:10 pm anyways:
k(n,m)=k(n-1,m+n)*m,k(0,m)=m
mu number is:
BuseyBeaver(10^[10]10)^[k(10^[10]10,10^[10]10)]10

get_Snacked wrote: January 25th, 2025, 12:57 am [...]
UNIMAGINABLY HUGE JUMP. i agree with confocaloid's statement that we should slow down the pace a WHOLE LOT.