Ultra long-lived Engineered diehards
(by Pavel Grankovsky, Adam P. Goucher, Tim Coe, toroidalet, EvinZL et al.)
Starting from
tetrational diehard design, a couple of significant improvements were made to lifespan of the diehard, along with a lot of micro-optimizations.
Improvements started with the idea of using a fuse to produce block deleters, rather than placing a fixed amount of them.
Code: Select all
#N Diehard fitting under area of 10000 with a lifespan of more than 121 ^^ 39
x = 111, y = 90, rule = LifeSuper
7.W7.4Q2.6Q4.2W17.8Q.Q$4.W.3W8.12Q2.W.W16.2Q.Q.Q4.3Q24.2M$3.6W9.2Q5.
2Q5.W.W18.Q3.2Q28.2M8.2Q4.3Q$3.3W.W14.Q10.2W8.2M13.2Q2.Q33.Q2.Q$4.W
16.2Q21.M12.Q39.2Q8.2Q$44.M.M6.M4.Q.Q.Q21.2M21.Q.Q$24.W20.2M6.2M29.2M
22.Q$24.2W14.O7.2M4.2M8.2M$24.2W12.O2.O6.2M4.3M7.2M21.2M8.M$25.W4.2Q
6.O2.O6.2M4.2M31.2M6.3M4.2M$3.W26.2Q7.O5.pA7.2M39.M7.2M$3.W40.pA.pA6.
M40.2M$3.W41.pA$23.2M17.pA5.pA50.2M7.3M$23.2M6.2O8.pA.pA3.pA.pA18.Q
30.2M6.M.M$30.O9.pA.pA5.pA3.2pA13.Q.Q37.M$33.O5.pA.pA3.pA6.2pA14.2Q
35.M.M.2M$26.M4.2O5.pA.pA3.pA.pA9.pA5.2Q22.2M19.2M.M$25.M11.pA.pA5.pA
9.pA.pA3.Q2.Q21.3M9.M7.M.M.M$25.M10.pA.pA17.pA.pA3.2Q20.3M10.M10.2M$
2.W.W30.pA.pA19.pA.pA24.M12.3M8.M$3W.W.2W26.pA.pA21.pA45.2M$3W3.W.2W
11.2M3.2M5.pA.pA6.2O5.2O4.pA27.3M17.M.M$W4.W2.2W14.M7.pA.pA7.2O5.O4.pA
.pA3.2pA21.M19.M$W3.2W3.W11.M5.M5.pA13.O.O5.pA4.pA.pA20.3M5.M10.2M$W.
W.2W3.2W11.2M.2M20.2O12.2pA13.2M12.2M$2W3.2W.3W12.M.M11.2O37.2M12.2M$
W2.3W2.W15.M5.2pA5.2O51.M14.M$.W.2W3.2W14.M5.2pA23.2M22.2M24.M$3.W5.W
45.M23.2M13.3M8.M$3W3.W.W34.M9.M.M13.2pA24.3M$W2.W3.2W.W30.M.M9.2M14.
pA.pA13.2S$5.W4.W10.2M4.2pA5.2M4.M.M27.2pA4.2M6.S.S$2W3.W.W14.M4.pA.pA
4.2M3.M2.M23.pA9.2M6.2S5.2M$4W.W4.W8.3M6.2pA10.M.M22.pA.pA13.S9.2M$W
4.W.W.W9.M21.M.M22.pA6.S6.S.S23.Q.Q$W3.W.W24.pA11.M28.S.S4.S.S12.2M
11.4Q$2.W.W3.W21.pA.pA39.S.S3.S.S13.2M9.Q.2Q$3.4W.2W16.O4.pA.pA39.S5.
S6.M18.Q4.Q$.W8.W14.2O5.pA.pA25.2S8.S5.S7.3M18.3Q.2Q$25.2O6.pA25.S.S
7.S.S3.S.S5.M7.2M13.3Q.Q$25.O32.S2.S.S6.S5.S6.2M6.2M12.Q3.2Q$43.pA5.
2pA7.2S2.2S3.S5.S33.Q.Q$20.O16.2pA3.pA.pA3.pA.pA4.O10.S.S3.S.S30.Q2.Q
.Q$10.2W8.3O8.2W4.2pA4.pA4.pA5.O.O10.S5.S7.M4.3Q17.Q.Q$9.W2.W10.O6.W
16.2pA6.O8.S5.S9.M.M$9.W2.W9.2O9.W29.S.S3.S.S7.M3.M$8.W4.W17.2W31.S5.
S9.3M8.3Q$8.W4.W13.2W22.2S8.S5.S10.2M3.2M$9.4W13.W23.S.S7.S.S3.S.S$8.
2W2.2W15.W19.S2.S.S6.S5.S$8.W4.W6.2W.2W2.2W12.2U6.2S2.2S3.S5.S$8.W4.W
6.W3.W16.2U14.S.S3.S.S$21.3W34.S5.S6.pA$3.W.W10.2W20.U16.S5.S8.pA.pA
25.2Q$3.2W4.4W3.2W19.U.U6.O7.S.S3.S.S8.pA25.Q2.Q$4.W5.2W9.3W14.U6.O.O
7.S5.S36.Q.Q$20.W3.W.2W7.U9.2O5.S5.S32.2M6.Q$20.2W.2W.2W6.U.U14.S.S3.
S.S23.2M6.2M$3.2W10.2W18.U16.S5.S18.S5.M$3.W10.W.W38.S15.2S4.3S4.3M$W
5.3W4.W.W26.2O10.S.S14.2S7.S5.M7.2M$W.W3.2W2.W.W.W20.U5.O9.S3.S10.S
12.2S13.2M9.Q2.Q.Q$2W6.2W3.W20.U.U7.O5.S.S13.3S37.Q.Q.Q$9.2W24.U6.2O
7.2S16.S21.2M14.Q$3.W6.2W20.U35.2S21.2M17.Q$3.W.W4.2W15.U3.U.U74.Q$3.
2W5.W7.M6.U2.U3.U3.2U8.2pA58.2Q2.Q$7.W9.M2.M4.U2.U7.U9.2pA57.3Q.2Q$7.
W.W4.2M.M2.M5.U10.3U12.pA7.2S5.Q37.2Q3.Q$7.2W6.M5.M17.U11.pA.pA5.S.S
4.Q.Q37.2Q.2Q$16.5M15.U.U13.pA6.S6.2Q38.Q$17.M.M.M14.2U11.pA8.2S45.3Q
2.Q$17.5M26.pA.pA54.2Q.Q.Q$18.M7.M22.pA$19.4M31.3U$20.M3.2M29.3U5.2M
7.3M$26.M36.2M9.M$27.M2.M15.pA27.M27.M5.M$28.M16.pA.pA2.3U14.2M4.M27.
3M4.2M$28.M17.pA4.3U13.2M31.2M.M2.M.M.M$100.2M5.2M.M$29.M.M70.M2.M.M.
2M$26.M.M2.M2.M11.3U16.M2.2M23.M8.4M.M$26.M3.M2.3M11.3U13.3M2.2M2.M
16.M.5M3.2M.2M2.2Q.Q$31.2M.M31.2M2.3M18.2M.2M4.M.2M.Q.2Q.Q$28.M.M2.4M
.M27.2M2.3M19.2M2.2M5.M5.Q$26.M.M.2M.M2.M.M3.3U21.2M6.M2.M9.2M2.2M.M
8.2M4.Q$27.5M11.3U21.M6.3M10.M3.2M.6M2.2M$28.2M3.4M.M49.M2.M3.5Q3.M!
(Initial idea by Pavel Grankovsky, fuse design by EvinZL, improvements by toroidalet and Adam P. Goucher)
Next, there's an idea of using gliders from the second sawtooth to ignite the fuse. That bumped the number of tetration levels to the exponential level.
Code: Select all
#N Diehard fitting under area of 10000 with a lifespan of more than 121 ^^ 5.94e54
x = 109, y = 91, rule = LifeSuper
19.6Q23.8Q.Q$17.10Q21.2Q.Q.Q4.3Q24.2M15.Q$19.2Q2.2Q26.Q3.2Q28.2M8.2Q
5.Q$41.2M13.2Q2.Q33.Q2.Q4.Q$42.M12.Q39.2Q8.2Q$42.M.M5.2M4.Q.Q.Q21.2M
21.Q.Q$43.2M7.M29.2M22.Q$46.2M5.M8.2M$37.3O6.2M5.M8.2M21.2M8.M$28.2Q
6.3O7.2M5.M31.2M6.3M4.2M$28.2Q13.pA8.M39.M7.2M$42.pA.pA5.2M40.2M$43.pA
$21.2M17.pA5.pA50.2M7.3M$21.2M6.O9.pA.pA3.pA.pA18.Q30.2M6.M.M$29.2O7.
pA.pA5.pA3.2pA13.Q.Q37.M$29.2O6.pA.pA3.pA6.2pA14.2Q35.M.M.2M$30.O5.pA
.pA3.pA.pA9.pA5.2Q20.M2.M19.2M.M$35.pA.pA5.pA9.pA.pA3.Q2.Q21.4M9.M6.M
.M.M$34.pA.pA17.pA.pA3.2Q19.M13.2M9.2M$33.pA.pA19.pA.pA24.2M2.2M8.2M
8.M$32.pA.pA21.pA45.2M$19.2M3.2M5.pA.pA6.2O5.2O4.pA28.2M17.M.M$19.2M
3.2M4.pA.pA7.2O5.O4.pA.pA3.2pA21.2M18.M$20.5M6.pA13.O.O5.pA4.pA.pA21.
2M4.2M10.2M$21.M.M21.2O12.2pA13.2M14.M$35.2O37.2M11.M$21.3M4.2pA5.2O
51.2M$28.2pA23.2M22.2M14.M8.3M$53.M23.2M13.M2.M$42.M8.M.M13.2pA23.M2.
M$40.M.M8.2M14.pA.pA13.2S9.M$19.2M4.2pA5.2M4.2M28.2pA4.2M6.S.S$20.M4.
pA.pA4.2M4.2M24.pA9.2M6.2S5.2M$17.3M6.2pA10.2M23.pA.pA13.S9.2M$17.M
22.M.M21.pA6.S6.S.S23.Q.Q$29.pA12.M27.S.S4.S.S12.2M11.4Q$28.pA.pA39.S
.S3.S.S13.2M9.Q.2Q$23.2O4.pA.pA39.S5.S6.M18.Q4.Q$25.O4.pA.pA25.2S8.S
5.S7.3M18.3Q.2Q$22.O8.pA25.S.S7.S.S3.S.S5.M7.2M13.3Q.Q$23.2O31.S2.S.S
6.S5.S6.2M6.2M12.Q3.2Q$41.pA5.2pA7.2S2.2S3.S5.S33.Q.Q$35.2pA3.pA.pA3.
pA.pA4.O10.S.S3.S.S12.Q17.Q2.Q.Q$35.2pA4.pA4.pA5.O.O10.S5.S13.Q18.Q.Q
$16.O28.2pA6.O8.S5.S9.3M4.Q$16.3O12.2A28.S.S3.S.S8.3M9.Q$19.O11.2A29.
S5.S8.M3.M8.Q$18.2O29.2S8.S5.S24.Q$.2W8.2W9.2A24.S.S7.S.S3.S.S9.2M3.
2M$5W6.2W8.A2.A8.2A12.S2.S.S6.S5.S$2W.2W16.A.A3.2A3.A.A5.2A5.2S2.2S3.
S5.S$5.3W14.A3.A.A3.A6.A.A13.S.S3.S.S$2W2.W3.W17.2A3.2A6.2A15.S5.S6.pA
$2.W2.W5.W3.2W.2W16.A16.S5.S8.pA.pA25.2Q$9.4W2.W3.W15.A.A6.O7.S.S3.S.
S8.pA25.Q2.Q$.4W3.W.3W3.3W17.A6.O.O7.S5.S36.Q.Q$.W5.W4.2W29.2O5.S5.S
32.2M6.Q$4.3W.2W21.U5.U11.S.S3.S.S23.2M6.2M$2W3.W2.W2.W4.3W3.2W6.U.U
3.U.U11.S5.S18.S5.M$W.3W3.2W.2W2.W3.W.W.W5.U.U5.U15.S15.2S4.3S4.3M$2W
2.2W.2W2.2W2.2W.2W.2W5.U.U21.S.S14.2S7.S5.M7.2M$W2.3W5.W17.U19.S3.S
10.S12.2S13.2M9.Q2.Q.Q$2W3.W2.2W3.W12.U5.U5.O9.S.S13.3S37.Q.Q.Q$W5.4W
15.U.U3.U.U4.2O9.2S16.S21.2M14.Q$2W.W5.W.W14.U5.U5.2O26.2S21.2M17.Q$W
3.W.2W3.W17.U9.O66.Q$.W7.2W5.M11.U.U13.2pA58.2Q2.Q$.3W.2W8.M2.M4.2U4.
U3.2U9.2pA57.3Q.2Q$3.W4.W3.2M.M2.M4.U.U7.U16.pA7.2S5.Q37.2Q3.Q$.2W2.W
3.W3.M5.M4.U.U7.3U12.pA.pA5.S.S4.Q.Q37.2Q.2Q$W.W2.3W6.5M6.2U9.U13.pA
6.S6.2Q38.Q$2W.3W.W7.M.M.M13.U.U11.pA8.2S45.3Q2.Q$2W.2W2.W.W5.5M13.2U
11.pA.pA54.2Q.Q.Q$16.M7.M6.2U14.pA5.U$17.4M8.U2.U19.U2.U11.M$18.M3.2M
5.2U21.U2.U5.2M3.M.M.2M$24.M6.4U19.U6.2M2.M.3M.2M24.M.M.M.M2.M$25.M2.
M.U.3U9.pA4.U16.6M27.M.2M2.2M$26.M16.pA.pA2.U2.U18.M31.2M2.M.M$26.M
17.pA3.U2.U45.M2.M.M5.M$50.U47.3M2.3M2.M$25.M10.2U.U5.U54.3M4.Q$22.2M
2.M.4M2.U9.U2.U15.M2.2M23.M7.4M4.2Q$22.M.M.M5.M.U2.U.U4.U2.U13.3M2.2M
2.M16.M.5M3.5M3.Q.2Q$24.2M2.M5.2U3.2U5.U17.2M2.3M18.2M.2M4.M.M.Q5.Q$
22.M5.M2.M2.U.3U2.U22.2M2.3M19.2M2.2M6.2Q$24.2M.2M2.M4.U.U2.U.U20.2M
6.M2.M9.2M2.2M.M8.M.Q.3Q$25.M.2M2.2M2U2.U.U2.U22.M6.3M10.M3.2M.6M2.M.
7Q$23.2M.M.M3.M2U.2U.3U.U42.M2.M3.5Q2.2M.2Q.Q$22.2M.M2.4M.U.U2.4U.2U!
(Initial idea by Adam P. Goucher, improvements by EvinZL, Pavel Grankovsky, toroidalet and May13)
Then, there's an idea of adding a fuse that would produce block deleters for the first sawtooth. That significantly bumps the exponential (number n in 121↑↑(10^n))
Code: Select all
#N Diehard fitting under area of 10000 with a lifespan of more than 121 ^^ 1.10e1046
x = 109, y = 91, rule = LifeSuper
18.8Q20.12Q4.5Q2.Q15.2M15.Q$19.Q4.Q22.Q3.2Q8.2Q.Q.4Q.Q13.2M8.2Q5.Q$
41.2M4.Q4.2Q9.4Q27.Q2.Q4.Q$42.M4.2Q46.2Q8.2Q$42.M.M8.Q3.M24.2M21.Q.Q$
43.2M3.Q.2Q.Q2.M25.2M22.Q$48.2Q6.3M3.2M$37.3O8.2Q12.2M21.2M8.M$28.2Q
6.3O46.2M6.3M4.2M$28.2Q13.pA9.3M36.M7.2M$42.pA.pA8.M38.2M$43.pA8.3M$
21.2M17.pA5.pA4.2pA7.2M35.2M7.3M$21.2M6.O9.pA.pA3.pA.pA4.2pA6.2M4.Q
30.2M6.M.M$29.2O7.pA.pA5.pA2.pA.pA13.Q.Q37.M$29.2O6.pA.pA3.pA22.2Q35.
M.M.2M$30.O5.pA.pA3.pA.pA6.pA2.pA5.2Q20.M2.M19.2M.M$35.pA.pA5.pA6.pA
2.pA.pA3.Q2.Q21.4M9.M6.M.M.M$34.pA.pA13.pA3.pA.pA3.2Q19.M13.2M9.2M$
33.pA.pA19.pA.pA24.2M2.2M8.2M8.M$32.pA.pA21.pA45.2M$19.2M3.2M5.pA.pA
6.2O5.2O4.pA28.2M17.M.M$19.2M3.2M4.pA.pA7.2O5.O4.pA.pA3.2pA21.2M18.M$
20.5M6.pA13.O.O5.pA4.pA.pA21.2M4.2M10.2M$21.M.M21.2O12.2pA13.2M14.M$
35.2O37.2M11.M$21.3M4.2pA5.2O51.2M$27.pA.pA23.2M22.2M14.M8.3M$27.2pA
24.M23.2M13.M2.M$42.M8.M.M13.2pA23.M2.M$40.M.M8.2M14.pA.pA13.2S9.M$
19.2M11.2M4.2M28.2pA4.2M6.S.S$20.M5.pA5.2M4.2M24.pA9.2M6.2S5.2M$17.3M
5.pA.pA10.2M23.pA.pA13.S9.2M$17.M8.pA.pA11.M.M11.2pA8.pA6.S6.S.S23.Q.
Q$27.pA.pA12.M10.pA.pA14.S.S4.S.S12.2M11.4Q$28.pA.pA22.pA16.S.S3.S.S
13.2M9.Q.2Q$23.2O4.pA.pA5.pA14.2pA17.S5.S6.M18.Q4.Q$25.O4.pA5.pA.pA6.
2pA11.2S8.S5.S7.3M18.3Q.2Q$22.O14.pA6.pA.pA10.S.S7.S.S3.S.S5.M7.2M13.
3Q.Q$23.2O19.2pA3.2pA5.S2.S.S6.S5.S6.2M6.2M12.Q3.2Q$30.pA10.pA6.pA.pA
5.2S2.2S3.S5.S33.Q.Q$29.pA.pA8.pA.pA5.2pA3.O10.S.S3.S.S12.Q17.Q2.Q.Q$
30.pA10.pA10.O.O10.S5.S13.Q18.Q.Q$16.O28.2pA6.O8.S5.S9.3M4.Q$16.3O26.
2pA14.S.S3.S.S8.3M9.Q$19.O21.A20.S5.S8.M3.M8.Q$18.2O20.A.A16.S5.S24.Q
$.2W8.2W9.2U17.2A15.S.S3.S.S9.2M3.2M$5W6.2W8.U2.U8.2U24.S5.S$2W.2W16.
U.U3.2U3.U.U21.S5.S$5.3W14.U3.U.U3.U22.S.S3.S.S7.S$2W2.W3.W17.2U3.2U
17.S5.S5.S7.S.S$2.W2.W5.W3.2W.2W16.U13.3S6.S11.2S23.2Q$9.4W2.W3.W15.U
.U6.O8.S4.S.S34.Q2.Q$.4W3.W.3W3.3W17.U6.O.O6.2S5.S36.Q.Q$.W5.W4.2W29.
2O11.S32.2M6.Q$4.3W.2W21.U5.U9.2S6.S.S23.2M6.2M$2W3.W2.W2.W4.3W3.2W6.
U.U3.U.U8.2S7.S19.pA4.M$W.3W3.2W.2W2.W3.W.W.W5.U.U5.U37.pA.pA4.3M$2W
2.2W.2W2.2W2.2W.2W.2W5.U.U45.pA7.M7.2M$W2.3W5.W17.U16.S45.2M9.Q2.Q.Q$
2W3.W2.2W3.W12.U5.U5.O6.S.S56.Q.Q.Q$W5.4W15.U.U3.U.U4.2O6.S9.2S4.S16.
2S8.2M14.Q$2W.W5.W.W14.U5.U5.2O3.3S9.S.S3.S2.S14.S.S7.2M17.Q$W3.W.2W
3.W17.U9.O3.S11.2S4.S2.S3.2S11.S24.Q$.W7.2W17.U.U16.2S.S12.S4.S12.S.S
20.2Q2.Q$.3W.2W8.M13.U3.2U13.3S2.3S.S2.S8.3S10.2S19.3Q.2Q$3.W4.W5.M2.
M4.2U9.U19.S2.2S2.S4.Q6.S30.2Q3.Q$.2W2.W3.W.2M.M2.M4.U.U9.3U6.2S4.S.
2S.S.S2.3S2.Q.Q4.2S31.2Q.2Q$W.W2.3W4.M5.M4.U.U10.U5.S3.2S.3S3.2S3.2S
2.2Q13.2S23.Q$2W.3W.W5.5M6.2U7.U.U9.3S.S10.S18.2S22.3Q2.Q$2W.2W2.W.W
4.M.M.M14.2U4.pA3.2S.3S2.S2.2S.S2.S.S40.2Q.Q.Q$14.5M12.2U5.pA.pA5.2S
5.S5.2S.S$15.M7.M5.U2.U6.pA6.S.2S.2S2.2S4.S5.M$16.4M9.2U5.pA10.S.2S6.
2S2.M4.M.M.2M$17.M3.2M12.pA.pA11.S2.S2.S3.S.2M2.M.3M.2M24.M.M.M.M2.M$
23.M12.pA9.2S3.3S5.2S5.6M27.M.2M2.2M$24.M2.M5.pA12.2S.5S.S.3S10.M31.
2M2.M.M$25.M6.pA.pA12.3S10.S.S34.M2.M.M5.M$25.M7.pA12.S4.S2.S2.2S3.S
35.3M2.3M2.M$40.S2.S2.S.S.S.S.S2.2S.2S38.3M4.Q$26.M9.2pA6.S4.S.S.S3.
2S.3S36.4M4.2Q$26.M.2M.M4.2pA2.3S4.S.2S.S3.S4.S6.M19.2M7.5M3.Q.2Q$25.
2M.M.M.2M8.S2.S.S.S5.S5.S5.2M.M17.2M8.M.M.Q5.Q$26.M.3M10.3S.S4.3S.2S
3.S.S5.M34.2Q$27.2M.M3.M5.2S5.S3.3S.S.S2.S.2S3.3M3.2M10.2M5.2M7.M.Q.
3Q$28.3M.2M6.2S2.2S2.S2.S.S3.S4.2S5.M.5M9.2M5.2M6.M.7Q$30.M11.2S.S7.S
3.S.S3.2S6.M3.M24.2M.2Q.Q$31.2M7.2S.S.2S.S.S.S.S.2S2.S.3S7.3M20.2Q$
32.M7.3S4.8S5.S.2S8.3M20.2Q!
(Initial idea by AlbertArmStain, first fitting design by May13, improvements by toroidalet, EvinZL and Adam P. Goucher )
After that, the idea of using a block pull rather than glider salvo to ignite the second sawtooth's fuse allows for doubly-exponential number of tetrations.
Code: Select all
#N Diehard fitting under area of 10000 with a lifespan of more than 121 ^^ (121 ^ 8.46e1059)
x = 108, y = 91, rule = LifeSuper
17.8Q20.12Q4.5Q2.Q15.2M15.Q$18.Q4.Q22.Q3.2Q8.2Q.Q.4Q.Q13.2M8.2Q5.Q$
40.2M4.Q4.2Q9.4Q27.Q2.Q4.Q$41.M4.2Q46.2Q8.2Q$41.M.M8.Q3.M24.2M21.Q.Q$
42.2M3.Q.2Q.Q2.M25.2M22.Q$47.2Q6.3M3.2M$36.3O8.2Q12.2M21.2M8.M$27.2Q
6.3O46.2M6.3M4.2M$27.2Q13.pA9.3M36.M7.2M$41.pA.pA8.M38.2M$42.pA8.3M$
20.2M17.pA5.pA4.2pA7.2M35.2M7.3M$20.2M6.O9.pA.pA3.pA.pA4.2pA6.2M4.Q
30.2M6.M.M$28.2O7.pA.pA5.pA2.pA.pA13.Q.Q37.M$28.2O6.pA.pA3.pA22.2Q35.
M.M.2M$29.O5.pA.pA3.pA.pA6.pA2.pA5.2Q20.M2.M19.2M.M$34.pA.pA5.pA6.pA
2.pA.pA3.Q2.Q21.4M9.M6.M.M.M$33.pA.pA13.pA3.pA.pA3.2Q19.M13.2M9.2M$
32.pA.pA19.pA.pA24.2M2.2M8.2M8.M$31.pA.pA21.pA45.2M$18.2M3.2M5.pA.pA
6.2O5.2O4.pA28.2M17.M.M$18.2M3.2M4.pA.pA7.2O5.O4.pA.pA3.2pA21.2M18.M$
19.5M6.pA13.O.O5.pA4.pA.pA21.2M4.2M10.2M$20.M.M21.2O12.2pA13.2M14.M$
34.2O37.2M11.M$20.3M4.2pA5.2O51.2M$26.pA.pA23.2M22.2M14.M8.3M$26.2pA
24.M23.2M13.M2.M$41.M8.M.M13.2pA23.M2.M$39.M.M8.2M14.pA.pA13.2S9.M$
18.2M11.2M4.2M28.2pA4.2M6.S.S$19.M5.pA5.2M4.2M24.pA9.2M6.2S5.2M$16.3M
5.pA.pA10.2M23.pA.pA13.S9.2M$16.M8.pA.pA11.M.M11.2pA8.pA6.S6.S.S23.Q.
Q$26.pA.pA12.M10.pA.pA14.S.S4.S.S12.2M11.4Q$27.pA.pA22.pA16.S.S3.S.S
13.2M9.Q.2Q$22.2O4.pA.pA5.pA14.2pA17.S5.S6.M18.Q4.Q$24.O4.pA5.pA.pA6.
2pA11.2S8.S5.S7.3M18.3Q.2Q$21.O14.pA6.pA.pA10.S.S7.S.S3.S.S5.M7.2M13.
3Q.Q$22.2O19.2pA3.2pA5.S2.S.S6.S5.S6.2M6.2M12.Q3.2Q$29.pA10.pA6.pA.pA
5.2S2.2S3.S5.S33.Q.Q$28.pA.pA8.pA.pA5.2pA3.O10.S.S3.S.S12.Q17.Q2.Q.Q$
29.pA10.pA10.O.O10.S5.S13.Q18.Q.Q$15.O28.2pA6.O8.S5.S9.3M4.Q$15.3O26.
2pA14.S.S3.S.S8.3M9.Q$18.O21.pA20.S5.S8.M3.M8.Q$17.2O20.pA.pA16.S5.S
24.Q$40.2pA15.S.S3.S.S9.2M3.2M$5.W26.2U24.S5.S$3.2W21.2U3.U.U21.S5.S$
4.2W19.U.U3.U22.S.S3.S.S7.S$25.2U3.2U17.S5.S5.S7.S.S$14.2W.2W.2W13.U
13.3S6.S11.2S23.2Q$4.2W8.2W.2W.W.W11.U.U6.O8.S4.S.S34.Q2.Q$3.4W.W12.W
13.U6.O.O6.2S5.S36.Q.Q$.W4.2W34.2O11.S17.pA14.2M6.Q$W6.W.W3.2W15.U5.U
9.2S6.S.S15.pA.pA5.2M6.2M$3W5.2W2.W.W14.U.U3.U.U8.2S7.S17.pA.pA4.M$8.
2W3.W14.U.U5.U37.pA.pA4.3M$4.W22.U.U45.pA7.M7.2M$3.W7.W16.U16.S45.2M
9.Q2.Q.Q$3.3W4.2W13.U5.U5.O6.S.S56.Q.Q.Q$8.W15.U.U3.U.U4.2O6.S9.2S4.S
16.2S8.2M14.Q$7.W17.U5.U5.2O3.3S9.S.S3.S2.S14.S.S7.2M17.Q$7.3W18.U9.O
3.S11.2S4.S2.S3.2S11.S24.Q$27.U.U16.2S.S12.S4.S12.S.S20.2Q2.Q$14.M13.
U3.2U13.3S2.3S.S2.S8.3S10.2S19.3Q.2Q$13.M2.M4.2U9.U19.S2.2S2.S4.Q6.S
30.2Q3.Q$10.2M.M2.M4.U.U9.3U6.2S4.S.2S.S.S2.3S2.Q.Q4.2S31.2Q.2Q$11.M
5.M4.U.U10.U5.S3.2S.3S3.2S3.2S2.2Q13.2S23.Q$12.5M6.2U7.U.U9.3S.S10.S
18.2S22.3Q2.Q$13.M.M.M14.2U4.pA3.2S.3S2.S2.2S.S2.S.S40.2Q.Q.Q$13.5M
12.2U5.pA.pA5.2S5.S5.2S.S$14.M7.M5.U2.U6.pA6.S.2S.2S2.2S4.S5.M$15.4M
9.2U5.pA10.S.2S6.2S2.M4.M.M.2M$16.M3.2M12.pA.pA11.S2.S2.S3.S.2M2.M.3M
.2M24.M.M.M.M2.M$22.M12.pA9.2S3.3S5.2S5.6M27.M.2M2.2M$23.M2.M5.pA12.
2S.5S.S.3S10.M31.2M2.M.M$24.M6.pA.pA12.3S10.S.S34.M2.M.M5.M$24.M7.pA
12.S4.S2.S2.2S3.S35.3M2.3M2.M$39.S2.S2.S.S.S.S.S2.2S.2S38.3M4.Q$25.M
9.2pA6.S4.S.S.S3.2S.3S36.4M4.2Q$25.M.2M.M4.2pA2.3S4.S.2S.S3.S4.S6.M
19.2M7.5M3.Q.2Q$24.2M.M.M.2M8.S2.S.S.S5.S5.S5.2M.M17.2M8.M.M.Q5.Q$25.
M.3M10.3S.S4.3S.2S3.S.S5.M34.2Q$26.2M.M3.M5.2S5.S3.3S.S.S2.S.2S3.3M3.
2M10.2M5.2M7.M.Q.3Q$27.3M.2M6.2S2.2S2.S2.S.S3.S4.2S5.M.5M9.2M5.2M6.M.
7Q$29.M11.2S.S7.S3.S.S3.2S6.M3.M24.2M.2Q.Q$30.2M7.2S.S.2S.S.S.S.S.2S
2.S.3S7.3M20.2Q$31.M7.3S4.8S5.S.2S8.3M20.2Q!
(Initial idea by Tim Coe, improvement by b3s23love)
The next natural idea is to do the same with the first sawtooth's fuse. With better fuse igniters, the number of tetrational levels becomes itself tetrational, and we step a little bit into the pentation level (although it isn't a true pentation, as we can't increase it's level, only the base).
At this point, it's a game of delaying fuse ignitions as much as possible. To that end, an idea of igniting the first fuse after it makes several block pulls comes handy.
Code: Select all
#N Diehard fitting under area of 10000 with a lifespan of more than 11^^^3
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
3.Q2.Q21.4M9.M6.M.M.M$37.pA5.pA10.pA2.pA.pA3.2Q19.M13.2M9.2M$36.pA.pA
3.pA.pA13.pA.pA24.2M2.2M8.2M8.M$37.pA5.pA3.2pA2.2pA6.pA45.2M$22.2M3.
2M11.pA6.pA.pA2.pA3.pA28.2M17.M.M$22.2M3.2M4.2pA4.pA.pA7.pA.pA3.pA.pA
3.2pA21.2M18.M$23.5M5.2pA5.pA8.2pA5.pA4.pA.pA21.2M4.2M10.2M$24.M.M10.
pA24.2pA13.2M14.M$36.pA.pA4.2Q32.2M11.M$24.3M4.2pA4.pA5.2Q46.2M$13.2O
.2O12.pA.pA23.2M22.2M14.M8.3M$13.2O.O.O11.2pA24.M23.2M13.M2.M$18.O26.
M8.M.M13.2pA23.M2.M$18.2O23.M.M8.2M14.pA.pA13.2S9.M$14.2O6.2M5.pA5.2M
4.2M28.2pA4.2M6.S.S$14.2O7.M4.pA.pA4.2M4.2M24.pA9.2M6.2S5.2M$20.3M6.pA
11.2M23.pA.pA13.S9.2M$20.M5.pA5.pA10.M.M11.2pA8.pA6.S6.S.S23.Q.Q$25.pA
.pA3.pA.pA11.M10.pA.pA14.S.S4.S.S12.2M11.4Q$26.pA5.pA.pA21.pA5.pA10.S
.S3.S.S13.2M9.Q.2Q$29.pA3.pA6.pA14.2pA4.pA.pA10.S5.S6.M18.Q4.Q$28.pA.
pA8.pA.pA20.pA8.S5.S7.3M18.3Q.2Q$29.pA10.pA3.2pA13.pA10.S.S3.S.S5.M7.
2M13.3Q.Q$46.pA5.2pA4.pA.pA10.S5.S6.2M6.2M12.Q3.2Q$7.O15.2W18.pA8.2pA
5.pA.pA6.S5.S33.Q.Q$6.O.O14.2W19.2pA10.O3.pA.pA4.S.S3.S.S12.Q17.Q2.Q.
Q$6.O.3O22.W21.O.O3.pA6.S5.S13.Q18.Q.Q$7.O3.O14.2W4.W.W21.O8.S5.S9.3M
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
3.S.S9.2M3.2M$12.2W3.W4.W.W4.2W4.U.U15.S.S6.S5.S$12.2W2.W.W5.W10.2U5.
2U10.2S3.S5.S$16.W.W4.W.2W16.U4.2U8.S.S3.S.S$15.2W.2W4.W2.W5.U6.3U3.
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.
U5.2U4.2U.U.U8.S5.S4.2S5.pA.pA22.Q.Q$4W2.W.2W2.W.W4.W.W.W5.U.U3.U2.U
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$.2W.W.2W2.W2.W2.W10.
U5.U12.O7.S.S22.pA.pA5.M7.2M$W12.W2.W.W4.2U5.U14.O.O7.S24.pA14.2M9.Q
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.
U.U3.U3.2U4.O2.O7.S.S3.S.S32.2M14.Q$3W2.W5.2W.2W.3W3.U2.U7.U5.4O8.S5.
S3.2S6.2S11.2S7.2M17.Q$W4.3W2.2W14.2U7.3U11.S5.S6.S6.S2.S10.S.S23.Q$
2W4.W.W3.2W16.U6.U2.2O6.S.S3.S.S6.3S4.2S.S11.S21.2Q2.Q$.2W.W2.2W3.2W
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.
U5.3U4.U2M2.3M4.M8.2M2.2M.M8.M.Q.3Q$34.M.2M11.U.U2.3U2.U.U.5U3.2M2.M
2.M9.M3.2M.6M2.M.M6Q$34.4M10.U4.U.4U2.U.2U2.UM.M.M2.3M11.M2.M3.5Q2.2M
.2Q.Q!
(Fuse igniters by Tim Coe, improvements by EvinZL, toroidalet, b3s23love, Adam P. Goucher)
Now, increasing a lifespan becomes very hard. Reworking the shutdown sequence to make it more compact allowed to add a few more second fuse block deleters. In addition to that, the number of loaves (that controls the number at the very top of exponential tower: n in 121^^(121^...^121^n)) was increased by new gun startup sequence and a few glider delayers.
Code: Select all
#N Diehard fitting under area of 10000 with a lifespan of more than 17^^^3
x = 116, y = 86, rule = LifeSuper
.S.2S2.3S6.S.5S3.4S6.2O7.2O6.M.4M7.M9.M.2MQ2.Q4.Q7.M.6M2.2O4.2O$S4.2S
4.S3.S2.S.S.S3.S.4S.S2.O2.2O.O.O2.O.O2.M.M2.4M7.M5.M.3M2.2Q2.2Q.Q11.M
.M4.2O2.O.O$2S.S2.2S2.2S2.S.2S2.S.2S4.S4.S3.2O2.2O.2O2.2O2.M5.M.M3.M
3.M5.M.2M4.2Q.3Q5.2S2.3M8.O3.O$.S5.2S5.S2.2S.S3.S.S12.O14.2M8.M.M14.Q
2.Q2.Q.Q2.2S3.M.M.M$2S.3S.S2.2S5.S6.S2.2S2.S4.O.O14.2O.pA2.pA4.M12.3M
Q2.Q3.Q6.S2.3M2.2M6.O2.M.M$2.3S.S3.S3.2S.3S.S2.2S.S2.3S3.2O3.2Q8.2O3.
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6.M.3M.2M$46.4M10.3U3.U.4U3.U3.M.M5.3M.M2.M13.M.2M.M.M!
(Gun startup and shutdown sequence by Tim Coe, small glider generator by Dean Hickerson, improvements by toroidalet, Adam P. Goucher, b3s23love, EvinZL)
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I hope I didn't miss anyone contributing.
I believe all the diehards in the post work. I checked that some major parts worked (startup, fuse ignitions, block delayers, shutdown) for some of them, but I didn't make a full check for all of them.