(Engineered) diehards

[toroidalet]

Another tiny improvement:

Code: Select all

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$28.2pA23.2M22.2M14.M8.3M$53.M23.2M
13.M2.M$42.M8.M.M13.2pA23.M2.M$40.M.M8.2M14.pA.pA13.2S9.M$19.2M4.2pA
5.2M4.2M28.2pA4.2M6.S.S$20.M4.pA.pA4.2M4.2M24.pA9.2M6.2S5.2M$17.3M6.
2pA10.2M23.pA.pA13.S9.2M$17.M22.M.M11.2pA8.pA6.S6.S.S23.Q.Q$29.pA12.M
10.pA.pA14.S.S4.S.S12.2M11.4Q$28.pA.pA22.pA16.S.S3.S.S13.2M9.Q.2Q$23.
2O4.pA.pA20.2pA17.S5.S6.M18.Q4.Q$25.O4.pA.pA12.2pA11.2S8.S5.S7.3M18.
3Q.2Q$22.O8.pA12.pA.pA10.S.S7.S.S3.S.S5.M7.2M13.3Q.Q$23.2O19.2pA10.S
2.S.S6.S5.S6.2M6.2M12.Q3.2Q$41.pA14.2S2.2S3.S5.S33.Q.Q$35.2pA3.pA.pA
10.O10.S.S3.S.S12.Q17.Q2.Q.Q$35.2pA4.pA10.O.O10.S5.S13.Q18.Q.Q$16.O
36.O8.S5.S9.3M4.Q$16.3O12.2A28.S.S3.S.S8.3M9.Q$19.O11.2A29.S5.S8.M3.M
8.Q$18.2O39.S5.S24.Q$.2W8.2W9.2A27.2pA5.S.S3.S.S9.2M3.2M$5W6.2W8.A2.A
8.2A16.2pA6.S5.S$2W.2W16.A.A3.2A3.A.A5.2A14.S5.S$5.3W14.A3.A.A3.A6.A.
A13.S.S3.S.S7.S$2W2.W3.W17.2A3.2A6.2A9.S5.S5.S7.S.S$2.W2.W5.W3.2W.2W
16.A13.3S6.S11.2S23.2Q$9.4W2.W3.W15.A.A6.O8.S4.S.S34.Q2.Q$.4W3.W.3W3.
3W17.A6.O.O6.2S5.S36.Q.Q$.W5.W4.2W29.2O11.S32.2M6.Q$4.3W.2W21.U5.U9.
2S6.S.S23.2M6.2M$2W3.W2.W2.W4.3W3.2W6.U.U3.U.U8.2S7.S3.pA15.pA4.M$W.
3W3.2W.2W2.W3.W.W.W5.U.U5.U22.pA.pA12.pA.pA4.3M$2W2.2W.2W2.2W2.2W.2W.
2W5.U.U24.pA4.2pA14.pA7.M7.2M$W2.3W5.W17.U16.S9.pA35.2M9.Q2.Q.Q$2W3.W
2.2W3.W12.U5.U5.O6.S.S6.3pA47.Q.Q.Q$W5.4W15.U.U3.U.U4.2O6.S15.S4.2pA
10.2S8.2M14.Q$2W.W5.W.W14.U5.U5.2O3.3S15.S2.S2.2pA11.S8.2M17.Q$W3.W.
2W3.W17.U9.O3.S17.S2.S15.S.S23.Q$.W7.2W17.U.U32.S17.2S21.2Q2.Q$.3W.2W
8.M13.U3.2U15.S3.4S.S10.S32.3Q.2Q$3.W4.W5.M2.M4.2U9.U15.S.S5.2S6.Q4.
3S30.2Q3.Q$.2W2.W3.W.2M.M2.M4.U.U9.3U6.2S4.S2.S3.S2.S4.Q.Q6.S30.2Q.2Q
$W.W2.3W4.M5.M4.U.U10.U5.S7.2S4.S.S2.S2.2Q6.2S30.Q$2W.3W.W5.5M6.2U7.U
.U9.S9.S47.3Q2.Q$2W.2W2.W.W4.M.M.M14.2U4.pA3.2S10.2S3.2S41.2Q.Q.Q$14.
5M12.2U5.pA.pA16.S.2S.S$15.M7.M5.U2.U6.pA8.3S2.2S.S10.M$16.4M9.2U5.pA
6.pA6.S2.3S2.S.SM.S2.M.M.2M$17.M3.2M12.pA.pA4.pA.pA3.2S7.S3.2S2.M.3M.
2M24.M.M.M.M2.M$23.M12.pA4.pA.pA8.S2.4S.S5.6M27.M.2M2.2M$24.M2.M12.pA
.pA9.S.2S14.M31.2M2.M.M$25.M4.M10.pA5.2S2.2S3.S.S.S36.M2.M.M5.M$25.M
5.M14.S7.S43.3M2.3M2.M$36.pA3.S2.S2.S.3S5.S.S41.3M4.Q$26.M8.pA.pA6.S
4.2S.5S.3S30.M7.4M4.2Q$26.M.2M.M4.pA3.3S4.S.S2.S3.S4.S25.M.5M3.5M3.Q.
2Q$25.2M.M.M.2M8.S2.S.S.S5.S5.S5.3M19.2M.2M4.M.M.Q5.Q$26.M.3M10.3S.S
4.3S.2S3.S.S3.M3.2M19.2M2.2M6.2Q$27.2M.M3.M5.2S5.S3.3S.S.S2.S.2S4.M
16.2M2.2M.M8.M.Q.3Q$28.3M.2M6.2S2.2S2.S2.S.S3.S4.2S.M.M3.2M.2M9.M3.2M
.6M2.M.7Q$30.M11.2S.S7.S3.S.S3.2S7.M2.M10.M2.M3.5Q2.2M.2Q.Q$31.2M7.2S
.S.2S.S.S.S.S.2S2.S.3S7.3M$32.M7.3S4.8S5.S.2S!

This doesn't affect the number of initial loaves (unfortunately not lime-green). I also moved the long ship forward one cell but couldn't fit anything there.
According to my calculations, the number of green loaves in base 11 should increase by (EDIT: I had multiplied by 4 instead of 5) A23(11)*10(11)^912(10) (or 1225*121^456), from 436 loaves and 19 cleanups and one more to trigger the fuse. The total would then be

Code: Select all

int('277001' + '450881' * 145 + '5' * 39 + '33', 11)

or

Code: Select all

2218877066613647611297687966318901676114560337750268882037916892155067813389168165773254079932896559111916043252684580595899245768415530480732964257225026874109786082178526070403730475898670644427611730320309671814458515273037602635611104034142852822834772966189678743335628239781269720871484015237192962700806820996892679524256124079677101903496844579252265589139411225125753782483757357472491679526472270064502391078513854716633532167460427730798923442864713988618530773796060005993035897119595319249324782416316932361952974123848159109607021343173669578717120581811431025443534247156172988102342597579162275824613550034820667282646427397254023470073417513562003177351548019352911416920177592729016994557975448207312099443023115021896033789242535634446153898575000992214768877781421672194386535588482905082211787376289300532461445420737532687105334008420922052048956614800084156399816196690378356895828222339687471970172688162829898766060297089582338028
(2.2*10^954)

Of course, this is only a 2.5% increase.

EDIT: Another improvement:

Code: Select all

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$28.2pA23.2M22.2M14.M8.3M$53.M23.2M
13.M2.M$42.M8.M.M13.2pA23.M2.M$40.M.M8.2M14.pA.pA13.2S9.M$19.2M4.2pA
5.2M4.2M28.2pA4.2M6.S.S$20.M4.pA.pA4.2M4.2M24.pA9.2M6.2S5.2M$17.3M6.
2pA10.2M23.pA.pA13.S9.2M$17.M22.M.M11.2pA8.pA6.S6.S.S23.Q.Q$29.pA12.M
10.pA.pA14.S.S4.S.S12.2M11.4Q$28.pA.pA22.pA16.S.S3.S.S13.2M9.Q.2Q$23.
2O4.pA.pA20.2pA17.S5.S6.M18.Q4.Q$25.O4.pA.pA12.2pA11.2S8.S5.S7.3M18.
3Q.2Q$22.O8.pA12.pA.pA10.S.S7.S.S3.S.S5.M7.2M13.3Q.Q$23.2O19.2pA10.S
2.S.S6.S5.S6.2M6.2M12.Q3.2Q$41.pA14.2S2.2S3.S5.S33.Q.Q$35.2pA3.pA.pA
10.O10.S.S3.S.S12.Q17.Q2.Q.Q$35.2pA4.pA10.O.O10.S5.S13.Q18.Q.Q$16.O
36.O8.S5.S9.3M4.Q$16.3O12.2A28.S.S3.S.S8.3M9.Q$19.O11.2A29.S5.S8.M3.M
8.Q$18.2O39.S5.S24.Q$.2W8.2W9.2A27.2pA5.S.S3.S.S9.2M3.2M$5W6.2W8.A2.A
8.2A16.2pA6.S5.S$2W.2W16.A.A3.2A3.A.A5.2A14.S5.S$5.3W14.A3.A.A3.A6.A.
A13.S.S3.S.S7.S$2W2.W3.W17.2A3.2A6.2A9.S5.S5.S7.S.S$2.W2.W5.W3.2W.2W
16.A13.3S6.S11.2S23.2Q$9.4W2.W3.W15.A.A6.O8.S4.S.S34.Q2.Q$.4W3.W.3W3.
3W17.A6.O.O6.2S5.S36.Q.Q$.W5.W4.2W29.2O11.S32.2M6.Q$4.3W.2W21.U5.U9.
2S6.S.S23.2M6.2M$2W3.W2.W2.W4.3W3.2W6.U.U3.U.U8.2S7.S3.pA15.pA4.M$W.
3W3.2W.2W2.W3.W.W.W5.U.U5.U22.pA.pA12.pA.pA4.3M$2W2.2W.2W2.2W2.2W.2W.
2W5.U.U24.pA4.2pA14.pA7.M7.2M$W2.3W5.W17.U16.S9.pA35.2M9.Q2.Q.Q$2W3.W
2.2W3.W12.U5.U5.O6.S.S6.3pA47.Q.Q.Q$W5.4W15.U.U3.U.U4.2O6.S15.S4.2pA
10.2S8.2M14.Q$2W.W5.W.W14.U5.U5.2O3.3S15.S2.S2.2pA11.S8.2M17.Q$W3.W.
2W3.W17.U9.O3.S17.S2.S15.S.S23.Q$.W7.2W17.U.U32.S17.2S21.2Q2.Q$.3W.2W
8.M13.U3.2U15.S3.4S.S10.S32.3Q.2Q$3.W4.W5.M2.M4.2U9.U15.S.S5.2S6.Q4.
3S30.2Q3.Q$.2W2.W3.W.2M.M2.M4.U.U9.3U6.2S4.S2.S3.S2.S4.Q.Q6.S30.2Q.2Q
$W.W2.3W4.M5.M4.U.U10.U5.S7.2S4.S.S2.S2.2Q6.2S30.Q$2W.3W.W5.5M6.2U7.U
.U9.S9.S47.3Q2.Q$2W.2W2.W.W4.M.M.M14.2U4.pA3.2S10.2S3.2S41.2Q.Q.Q$14.
5M12.2U5.pA.pA16.S.2S.S$15.M7.M5.U2.U6.pA8.3S2.2S.S10.M$16.4M9.2U5.pA
13.S2.3S2.S.SM.S2.M.M.2M$17.M3.2M12.pA.pA10.2S7.S3.2S2.M.3M.2M24.M.M.
M.M2.M$23.M12.pA15.S2.4S.S5.6M27.M.2M2.2M$24.M2.M5.pA18.S.2S14.M31.2M
2.M.M$25.M6.pA.pA12.2S2.2S3.S.S.S36.M2.M.M5.M$25.M7.pA12.S7.S43.3M2.
3M2.M$40.S2.S2.S.3S5.S.S41.3M4.Q$26.M9.2pA6.S4.2S.5S.3S38.4M4.2Q$26.M
.2M.M4.2pA2.3S4.S.S2.S3.S4.S6.M19.2M7.5M3.Q.2Q$25.2M.M.M.2M8.S2.S.S.S
5.S5.S5.2M.M17.2M8.M.M.Q5.Q$26.M.3M10.3S.S4.3S.2S3.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.S3.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.2S8.3M
20.2Q!

I think the number of loaves is now

Code: Select all

2266240257764217443594743118496955589874567870497734835499574329052482202295847546527088724504350735433546542051873414513989007527689896349296585846729731824453465665798405026446928828268590987667815540474234952729963013119788872131497859701811498903689186952572472225577153399485193516644042188789694731347431377975698943779274009677730573926380090796270253888045805665655976118526773868894402947108860252274694826864966849725558218640037767377695666418058952326350740867376084809794832034631958646079944217111289385547229376096864018713718569843958974284917738611123608334808532057883263026101677420908405807336434725785105890368669360860280575970315213836670391256220773828140666989372285920493903903707515511346913356148769980094093454502287823800423952181953615559843794057568333902367913105276254042327236403719387673431294052517641281788243367754630946461740844392622960272354861515569078849504542487826357965044805011642855376976209560781610685110

By the way, what is the state-1 block for? When I remove it, nothing seems to happen.

Another possibility for improvement is something like this (there are probably better options):

Code: Select all

x = 112, y = 95, rule = LifeSuper
110.M$109.M$102.M.M4.3M$102.2M$103.M16$90.M$89.M$82.M.M4.3M$82.2M$83.
M11$38.2W$33.2W3.2W$33.2W2$43.O$43.3O12.2A10.M$46.O11.2A9.M$45.2O15.M
.M4.3M$49.2A11.2M$48.A2.A11.M$48.A.A3.2A$34.2W13.A3.A.A$34.W.W16.2A$
35.W6.2W.2W$36.3W3.W3.W24.O$39.W3.3W24.O.O$38.W.W29.2O$38.2W$43.3W$
42.W3.W.2W$42.2W.2W.2W$37.2W$36.W.W26.O$35.W.W27.2O$34.W.W28.2O$33.W.
W30.O$32.W.W$31.W.W$30.W.W$29.W.W$28.W.W$27.W.W$26.W.W$25.W.W$24.W.W$
23.W.W$22.W.W$21.W.W$20.W.W$19.W.W$18.W.W$17.W.W$16.W.W$15.W.W$14.W.W
$13.W.W$12.W.W$11.W.W$10.W.W$9.W.W$8.W.W$7.W.W$6.W.W$5.W.W$4.W.W$3.W.
W$2.W.W$.W.W$W.W$.W!

Of course, we would have to rework the space dust in that area, which would be a pain.

[calcyman]

EDIT: Another improvement:

I think the number of loaves is now

Code: Select all

2266240257764217443594743118496955589874567870497734835499574329052482202295847546527088724504350735433546542051873414513989007527689896349296585846729731824453465665798405026446928828268590987667815540474234952729963013119788872131497859701811498903689186952572472225577153399485193516644042188789694731347431377975698943779274009677730573926380090796270253888045805665655976118526773868894402947108860252274694826864966849725558218640037767377695666418058952326350740867376084809794832034631958646079944217111289385547229376096864018713718569843958974284917738611123608334808532057883263026101677420908405807336434725785105890368669360860280575970315213836670391256220773828140666989372285920493903903707515511346913356148769980094093454502287823800423952181953615559843794057568333902367913105276254042327236403719387673431294052517641281788243367754630946461740844392622960272354861515569078849504542487826357965044805011642855376976209560781610685110

Running my script, it takes 15 minutes for hashlife to simulate your diehard to the point where it confirms that the true number of loaves is actually:

Code: Select all

2286952278755784427363996700236735005744381140830739419364413341812896441941944\
4233937572099595140646177433313377221736853151766026457341947289257114591992455\
8307257793463178488684093435989077355527006691575502930608698617361611720944477\
4776791102299201382934246301699180100639999028363399886239644972746466702023760\
6212991445547428047099153884851604132431340640867700199199099459026713803470667\
3727243718214363141410986417340399584009481636745982286939073271935874086065146\
9843677134324931860618321416552686252197519395125633234410591918465885466555952\
5949283711093931902272698585450861180669666874087231586323547425113207982160026\
3534774729391942066343009297031333920609392276939798668816484430914072160906368\
7216106562082493507738739565292132499746719765890891502383583782948788491432952\
0111999086191224853066004050547518807687035922324551258698921120764128962443683\
5801393197844624787161277818903261097377774885713212319466903239355098633449729\
0341838

i.e. 2.28695 * 10^954. Translating to base 11, this is:

Code: Select all

2860037740037740037740037740037740037740037740037740037740037740037740037740037\
7400377400377400377400377400377400377400377400377400377400377400377400377400377\
4003774003774003774003774003774003774003774003774003774003774003774003774003774\
0037740037740037740037740037740037740037740037740037740037740037740037740037740\
0377400377400377400377400377400377400377400377400377400377400377400377400377400\
3774003774003774003774003774003774003774003774003774003774003774003774003774003\
7740037740037740037740037740037740037740037740037740037740037740037740037740037\
7400377400377400377400377400377400377400377400377400377400377400377400377400377\
4003774003774003774003774003774003774003774003774003774003774003774003774003774\
0037740037740037740037740037740037740037740037740037740037740037740037740037740\
0377400377400377400377400377400377400377400377400377400377400377400377400377400\
377400387878787878787878787878787878787878787856

By the way, what is the state-1 block for? When I remove it, nothing seems to happen.

Yes, that's a vestigial artefact from an earlier version of the pattern, where the block was necessary to suppress some junk which would have otherwise caused an explosion. Now it's unnecessary, but turns out to be harmless because it's deleted by a spark from the 12hd lane-shifter.

In terms of further improvements from here, note that the state-1 / state-21 glider-absorbing mechanism gives a factor of 121 per glider absorbed, whereas the initial state-19 / state-25 mechanism gives a factor of 121^5 per glider absorbed, so we should take opportunities to make the latter longer even at the expense of the former.

I was thinking that we could remove the northwest buckaroo (including its fishhook) so that the gliders pass through it into some constellation of OTTs in the currently unused area in the northwest, which are programmed to build the buckaroo to reflect the remaining gliders as before. This will give us a few more factors of 121^5.

[AlbertArmStain]

On Discord NimbleRogue suggested to put something in the top left corner. I suggested a crab stretcher that will burn at the very end at c/3 like this:

Code: Select all

x = 23, y = 19, rule = B3/S23
14b2o$13bobo$15bo$12bo$11b2o$11b2o$12b2o$9bo3b2o6b2o$8bobobo2b2o3bobo
$7bobo4b3o5bo$6bobo10bo$5bobo10b2o$4bobo$3bobo$3b2o$2bo$2bo$bo$bo!

[Pavgran]

On Discord NimbleRogue suggested to put something in the top left corner. I suggested a crab stretcher that will burn at the very end at c/3 like this:

Code: Select all

x = 23, y = 19, rule = B3/S23
14b2o$13bobo$15bo$12bo$11b2o$11b2o$12b2o$9bo3b2o6b2o$8bobobo2b2o3bobo
$7bobo4b3o5bo$6bobo10bo$5bobo10b2o$4bobo$3bobo$3b2o$2bo$2bo$bo$bo!

That idea is somewhat explored in my earlier post

[toroidalet]

Alright, I give up. Loaf arithmetic completely stumps me. I can't even figure out that repeated 78.
Anyway, another improvement thanks to calcyman's suggestion:

Code: Select all

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$28.2pA23.2M22.2M14.M8.3M$53.M23.2M
13.M2.M$42.M8.M.M13.2pA23.M2.M$40.M.M8.2M14.pA.pA13.2S9.M$19.2M4.2pA
5.2M4.2M28.2pA4.2M6.S.S$20.M4.pA.pA4.2M4.2M24.pA9.2M6.2S5.2M$17.3M6.
2pA10.2M23.pA.pA13.S9.2M$17.M22.M.M11.2pA8.pA6.S6.S.S23.Q.Q$29.pA12.M
10.pA.pA14.S.S4.S.S12.2M11.4Q$28.pA.pA22.pA16.S.S3.S.S13.2M9.Q.2Q$23.
2O4.pA.pA20.2pA17.S5.S6.M18.Q4.Q$25.O4.pA.pA12.2pA11.2S8.S5.S7.3M18.
3Q.2Q$22.O8.pA12.pA.pA10.S.S7.S.S3.S.S5.M7.2M13.3Q.Q$23.2O19.2pA10.S
2.S.S6.S5.S6.2M6.2M12.Q3.2Q$41.pA14.2S2.2S3.S5.S33.Q.Q$35.2pA3.pA.pA
10.O10.S.S3.S.S12.Q17.Q2.Q.Q$35.2pA4.pA10.O.O10.S5.S13.Q18.Q.Q$16.O
36.O8.S5.S9.3M4.Q$16.3O42.S.S3.S.S8.3M9.Q$19.O42.S5.S8.M3.M8.Q$18.2O
39.S5.S24.Q$.2W8.2W9.2A27.2pA5.S.S3.S.S9.2M3.2M$5W6.2W8.A2.A8.2A16.2pA
6.S5.S$2W.2W16.A.A3.2A3.A.A5.2A14.S5.S$5.3W14.A3.A.A3.A6.A.A13.S.S3.S
.S7.S$2W2.W3.W17.2A3.2A6.2A9.S5.S5.S7.S.S$2.W2.W5.W3.2W.2W16.A13.3S6.
S11.2S23.2Q$9.4W2.W3.W15.A.A6.O8.S4.S.S34.Q2.Q$.4W3.W.3W3.3W17.A6.O.O
6.2S5.S36.Q.Q$.W5.W4.2W29.2O11.S32.2M6.Q$4.3W.2W21.U5.U9.2S6.S.S23.2M
6.2M$2W3.W2.W2.W4.3W3.2W6.U.U3.U.U8.2S7.S3.pA15.pA4.M$W.3W3.2W.2W2.W
3.W.W.W5.U.U5.U22.pA.pA12.pA.pA4.3M$2W2.2W.2W2.2W2.2W.2W.2W5.U.U24.pA
4.2pA14.pA7.M7.2M$W2.3W5.W17.U16.S9.pA35.2M9.Q2.Q.Q$2W3.W2.2W3.W12.U
11.O6.S.S6.3pA47.Q.Q.Q$W5.4W15.U.U10.2O6.S15.S4.2pA10.2S8.2M14.Q$2W.W
5.W.W14.U11.2O3.3S15.S2.S2.2pA11.S8.2M17.Q$W3.W.2W3.W27.O3.S17.S2.S
15.S.S23.Q$.W7.2W19.2pA31.S17.2S21.2Q2.Q$.3W.2W8.M13.pA.pA18.S3.4S.S
10.S32.3Q.2Q$3.W4.W5.M2.M4.2U4.pA2.pA.pA15.S.S5.2S6.Q4.3S30.2Q3.Q$.2W
2.W3.W.2M.M2.M4.U.U3.2pA2.2pA3.pA5.2S4.S2.S3.S2.S4.Q.Q6.S30.2Q.2Q$W.W
2.3W4.M5.M4.U.U10.pA.pA3.S7.2S4.S.S2.S2.2Q6.2S30.Q$2W.3W.W5.5M6.2U11.
pA7.S9.S47.3Q2.Q$2W.2W2.W.W4.M.M.M15.pA8.2S10.2S3.2S41.2Q.Q.Q$14.5M
14.pA.pA21.S.2S.S$15.M7.M10.pA13.3S2.2S.S10.M$16.4M30.S2.3S2.S.SM.S2.
M.M.2M$17.M3.2M7.pA17.2S7.S3.2S2.M.3M.2M24.M.M.M.M2.M$23.M5.pA.pA20.S
2.4S.S5.6M27.M.2M2.2M$24.M2.M2.pA21.S.2S14.M31.2M2.M.M$25.M21.2S2.2S
3.S.S.S36.M2.M.M5.M$25.M20.S7.S43.3M2.3M2.M$40.S2.S2.S.3S5.S.S41.3M4.
Q$26.M17.S4.2S.5S.3S38.4M4.2Q$26.M.2M.M8.3S4.S.S2.S3.S4.S6.M19.2M7.5M
3.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.2S3.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.M
11.2S.S7.S3.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!

It should be by a factor of 121^11 ((3*5)-4)

[calcyman]

Alright, I give up. Loaf arithmetic completely stumps me. I can't even figure out that repeated 78.
Anyway, another improvement thanks to calcyman's suggestion:

Unfortunately that's not an improvement because the delay is increased after the first fuse has been triggered, rather than before.

However, some reworking of the southern blob (with help from kissat) gives another 10 factors of 121:

Code: Select all

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$28.2pA23.2M22.2M14.M8.3M$53.M23.2M
13.M2.M$42.M8.M.M13.2pA23.M2.M$40.M.M8.2M14.pA.pA13.2S9.M$19.2M4.2pA
5.2M4.2M28.2pA4.2M6.S.S$20.M4.pA.pA4.2M4.2M24.pA9.2M6.2S5.2M$17.3M6.
2pA10.2M23.pA.pA13.S9.2M$17.M22.M.M11.2pA8.pA6.S6.S.S23.Q.Q$29.pA12.M
10.pA.pA14.S.S4.S.S12.2M11.4Q$28.pA.pA22.pA16.S.S3.S.S13.2M9.Q.2Q$23.
2O4.pA.pA20.2pA17.S5.S6.M18.Q4.Q$25.O4.pA.pA12.2pA11.2S8.S5.S7.3M18.
3Q.2Q$22.O8.pA12.pA.pA10.S.S7.S.S3.S.S5.M7.2M13.3Q.Q$23.2O19.2pA10.S
2.S.S6.S5.S6.2M6.2M12.Q3.2Q$41.pA14.2S2.2S3.S5.S33.Q.Q$35.2pA3.pA.pA
10.O10.S.S3.S.S12.Q17.Q2.Q.Q$35.2pA4.pA10.O.O10.S5.S13.Q18.Q.Q$16.O
36.O8.S5.S9.3M4.Q$16.3O42.S.S3.S.S8.3M9.Q$19.O42.S5.S8.M3.M8.Q$18.2O
39.S5.S24.Q$.2W8.2W9.2U27.2pA5.S.S3.S.S9.2M3.2M$5W6.2W8.U2.U8.2U16.2pA
6.S5.S$2W.2W16.U.U3.2U3.U.U5.2U14.S5.S$5.3W14.U3.U.U3.U6.U.U13.S.S3.S
.S7.S$2W2.W3.W17.2U3.2U6.2U9.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.O
6.2S5.S36.Q.Q$.W5.W4.2W29.2O11.S32.2M6.Q$4.3W.2W21.U5.U9.2S6.S.S23.2M
6.2M$2W3.W2.W2.W4.3W3.2W6.U.U3.U.U8.2S7.S19.pA4.M$W.3W3.2W.2W2.W3.W.W
.W5.U.U5.U37.pA.pA4.3M$2W2.2W.2W2.2W2.2W.2W.2W5.U.U45.pA7.M7.2M$W2.3W
5.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.S4.2pA10.2S8.2M14.Q$2W.W5.W.W14.U5.U5.2O3.3S9.S.
S3.S2.S2.2pA11.S8.2M17.Q$W3.W.2W3.W17.U9.O3.S11.2S4.S2.S15.S.S23.Q$.W
7.2W17.U.U16.2S.S12.S17.2S21.2Q2.Q$.3W.2W8.M13.U3.2U13.3S2.3S.S2.S9.S
32.3Q.2Q$3.W4.W5.M2.M4.2U9.U19.S2.2S2.S4.Q4.3S30.2Q3.Q$.2W2.W3.W.2M.M
2.M4.U.U9.3U6.2S4.S.2S.S.S2.3S2.Q.Q6.S30.2Q.2Q$W.W2.3W4.M5.M4.U.U10.U
5.S3.2S.3S3.2S3.2S2.2Q6.2S30.Q$2W.3W.W5.5M6.2U7.U.U9.3S.S10.S42.3Q2.Q
$2W.2W2.W.W4.M.M.M14.2U4.pA3.2S.3S2.S2.2S.S2.S.S40.2Q.Q.Q$14.5M12.2U
5.pA.pA5.2S5.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.S
2.S2.2S3.S35.3M2.3M2.M$40.S2.S2.S.S.S.S.S2.2S.2S38.3M4.Q$26.M9.2pA6.S
4.S.S.S3.2S.3S36.4M4.2Q$26.M.2M.M4.2pA2.3S4.S.2S.S3.S4.S6.M19.2M7.5M
3.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.2S3.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.M
11.2S.S7.S3.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!

Now the number of loaves is 1569073610423697853548431814735121829669036158362822829206267621931808888562404028442824119967117288569681528017765517010850445203515078576577698462802398708845890978268834095917766059004615051980123489041715190589202492492744639912522579557669048365241297544379014666961131813307984575854734826313459300598025452220012550886764686399519438938142676510766198912467211488916876069248839540903483322416872209518860473916693011840006671289538183815575170126494789292142318221403769090700230724680244613475326911223634104881548923129086514872366533361272677386026944530880319660552810576487388797439936117087298919948927743027127113520626787238132188337516619821552227314943912581019396314104507426793717450821402915542418872051955164993660482748497178619298671930389314377920496660008211648977208922663135754182650945381239447044617933368877700542718880348352716873064581446859346047526340285442190123196354556808997197932571810228665152799699470258351277591483637490344365791248.

[wirehead]

I think the next step would be to increase the bounding box to 40,000 cells and then do tetrations on each corner that all feed into each other, so it would be 8 up-arrows in the final function.

[calcyman]

However, some reworking of the southern blob (with help from kissat) gives another 10 factors of 121:

Now increased by another 34 factors of 121 to 1.1038 * 10^1046, or:

Code: Select all

int('306'+'377400'*162+'38'+'78'*13+'56',11)

Here's the diehard:

Code: Select all

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!

[GUYTU6J]

It seems to me that if an engineered tetrational diehard has lifespan t ticks, then the bounding box area of history/envelope has O(t^2) cells since most of the time there is a spaceship sailing diagonally. Is a tetrational diehard design with envelope strictly below O(t) cells possible?

[calcyman]

It seems to me that if an engineered tetrational diehard has lifespan t ticks, then the bounding box area of history/envelope has O(t^2) cells since most of the time there is a spaceship sailing diagonally. Is a tetrational diehard design with envelope strictly below O(t) cells possible?

Yes, you could modify a tetrational diehard (such as the one in my last post) to create a distant block and an output glider near the origin which activates an O(sqrt(log(t))) pattern programmed to self-destruct when it reaches the distant block.

I don't see what the appeal is, though: t and t^2 and sqrt(t) are essentially indistinguishable when t is tetrationally large.

[moebius]

Hello All,

I haven't posted for a few years, but I have been lurking and enjoying the great variety of discoveries posted.

This diehard thread really interested me and I am hopeful that I can make some contributions.

I tried to improve on calcyman's latest diehard in the 10000 area that is the stated parameter of this thread. My idea was to bounce a glider over the top and send to the starter simkin gun and ignite the gun. This would allow the use of the empty space on the left for generation of initial delay by a variety of means. Something like this (I used toroidalet's version as a working base):

Code: Select all

x = 127, y = 91, rule = B3/S23
19b2o15b8o20b12o4b5o2bo15b2o15bo$20b2o15bo4bo22bo3b2o8b2obob4obo13b2o
8b2o5bo$19bo39b2o4bo4b2o9b4o8b2o17bo2bo4bo$60bo4b2o26bobo17b2o8b2o$60b
obo8bo3bo17bo6b2o21bobo$61b2o3bob2obo2bo25b2o22bo$66b2o6b3o3b2o$55b3o
8b2o12b2o21b2o8bo$46b2o6b3o46b2o6b3o4b2o$46b2o13bo9b3o36bo7b2o$60bobo
8bo38b2o$61bo8b3o$39b2o17bo5bo4b2o7b2o35b2o7b3o$39b2o6bo9bobo3bobo4b2o
6b2o4bo30b2o6bobo$47b2o7bobo5bo2bobo13bobo37bo$47b2o6bobo3bo22b2o35bob
ob2o$48bo5bobo3bobo6bo2bo5b2o20bo2bo19b2obo$53bobo5bo6bo2bobo3bo2bo21b
4o16bobobo$52bobo13bo3bobo3b2o19bo24b2o$51bobo19bobo24b2o2b2o18bo$50bo
bo21bo$37b2o3b2o5bobo6b2o5b2o4bo28b2o$37b2o3b2o4bobo7b2o5bo4bobo3b2o
21b2o$38b5o6bo13bobo5bo4bobo21b2o$39bobo21b2o12b2o13b2o$b2o50b2o37b2o$
obo36b3o4b2o5b2o$2bo43b2o23b2o22b2o$71bo23b2o$60bo8bobo13b2o$58bobo8b
2o14bobo13b2o$37b2o4b2o5b2o4b2o28b2o4b2o6bobo$38bo4bobo4b2o4b2o24bo9b
2o6b2o5b2o$35b3o6b2o10b2o23bobo13bo9b2o$35bo22bobo11b2o8bo6bo6bobo23bo
bo$47bo12bo10bobo14bobo4bobo12b2o11b4o$46bobo22bo16bobo3bobo13b2o9bob
2o$41b2o4bobo20b2o17bo5bo6bo18bo4bo$43bo4bobo12b2o11b2o8bo5bo7b3o18b3o
b2o$40bo8bo12bobo10bobo7bobo3bobo5bo7b2o13b3obo$41b2o19b2o10bo2bobo6bo
5bo6b2o6b2o12bo3b2o$59bo14b2o2b2o3bo5bo33bobo$53b2o3bobo10bo10bobo3bob
o12bo17bo2bobo$53b2o4bo10bobo10bo5bo13bo18bobo$34bo36bo8bo5bo9b3o4bo$
34b3o12b2o28bobo3bobo8b3o9bo$37bo11b2o29bo5bo8bo3bo8bo$36b2o39bo5bo24b
o$19b2o8b2o9b2o27b2o5bobo3bobo9b2o3b2o$18b5o6b2o8bo2bo8b2o16b2o6bo5bo$
18b2ob2o16bobo3b2o3bobo5b2o14bo5bo$23b3o14bo3bobo3bo6bobo13bobo3bobo7b
o$18b2o2bo3bo17b2o3b2o6b2o9bo5bo5bo7bobo$20bo2bo5bo3b2ob2o16bo13b3o6bo
11b2o23b2o$27b4o2bo3bo15bobo6bo8bo4bobo34bo2bo$19b4o3bob3o3b3o17bo6bob
o6b2o5bo36bobo$19bo5bo4b2o29b2o11bo32b2o6bo$22b3ob2o21bo5bo9b2o6bobo
23b2o6b2o$18b2o3bo2bo2bo4b3o3b2o6bobo3bobo8b2o7bo3bo15bo4bo$18bob3o3b
2ob2o2bo3bobobo5bobo5bo22bobo12bobo4b3o$18b2o2b2ob2o2b2o2b2ob2ob2o5bob
o24bo4b2o14bo7bo7b2o$18bo2b3o5bo17bo16bo9bo35b2o9bo2bobo$18b2o3bo2b2o
3bo12bo5bo5bo6bobo6b3o47bobobo$18bo5b4o15bobo3bobo4b2o6bo15bo4b2o10b2o
8b2o14bo$18b2obo5bobo14bo5bo5b2o3b3o15bo2bo2b2o11bo8b2o17bo$18bo3bob2o
3bo17bo9bo3bo17bo2bo15bobo23bo$19bo7b2o5bo11bobo32bo17b2o21b2o2bo$19b
3ob2o8bo2bo4b2o4bo3b2o15bo3b4obo10bo32b3ob2o$21bo4bo3b2obo2bo4bobo7bo
15bobo5b2o6bo4b3o30b2o3bo$19b2o2bo3bo3bo5bo4bobo7b3o6b2o4bo2bo3bo2bo4b
obo6bo30b2ob2o$18bobo2b3o6b5o6b2o9bo5bo7b2o4bobo2bo2b2o6b2o30bo$18b2ob
3obo7bobobo13bobo9bo9bo47b3o2bo$18b2ob2o2bobo5b5o13b2o4bo3b2o10b2o3b2o
41b2obobo$34bo7bo6b2o5bobo16bob2obo$35b4o8bo2bo6bo8b3o2b2obo10bo$36bo
3b2o5b2o12bo6bo2b3o2bob2obo2bobob2o$42bo6b4o7bobo3b2o7bo3b2o2bob3ob2o
24bobobobo2bo$43bo2bobob3o6bobo8bo2b4obo5b6o27bob2o2b2o$44bo13bobo9bob
2o14bo31b2o2bobo$44bo14bo5b2o2b2o3bobobo36bo2bobo5bo$64bo7bo43b3o2b3o
2bo$45bo12bo2bo2bob3o5bobo41b3o4bo$45bob2obo11bo4b2ob5ob3o30bo7b4o4b2o
$44b2obobob2o5b3o4bobo2bo3bo4bo25bob5o3b5o3bob2o$45bob3o10bo2bobobo5bo
5bo5b3o19b2ob2o4bobobo5bo$46b2obo3bo5b3obo4b3ob2o3bobo3bo3b2o19b2o2b2o
6b2o$47b3ob2o5b2o5bo3b3obobo2bob2o4bo16b2o2b2obo8bobob3o$49bo8b2o2b2o
2bo2bobo3bo4b2obobo3b2ob2o9bo3b2ob6o2bob7o$50b2o8b2obo7bo3bobo3b2o7bo
2bo10bo2bo3b5o2b2ob2obo$51bo6b2obob2obobobobob2o2bob3o7b3o$58b3o4b8o5b
ob2o!

Unfortunately, I was unable to come up with a viable ignition of the Simkin gun.

I also worked out a set of equations that gives the loaf counts and generation counts for the latest iteration of diehards. I checked them out in Mathematica and the following equations appear to give the correct loaf counts for all of the latest posted examples. For example calcyman's last posted diehard corresponds to a specification of {ph->5, u0->14, sf->98, s0->106} and all other variables are dependent:

ph -> phase delay between simkins and 58p5h1v1 - nominally 0 for the example - this puts block drops at even multiples of -120 in x coordinate
sf -> salvo number of first fuse light
nl = 5*sf - 3 -> number of first fuse loaves
s0 -> salvo number of that lays 0th block in first fuse - sf + 2 + additional salvos neutralized after first fuse light
s1 = 121*s0 - 8*nl + 35 -> salvo number that lays 1st block in first fuse
sn+1 = 121*sn - 8*nl + 35 + 8*n -> salvo number that lays (n+1)th block in first fuse
snl = s0*121^nl + (35 + ph - 8*nl)*sum[k=(0, nl-1), 121^k] + 8*sum[k=(0, nl-2), sum[l=(0, k), 121^l]] -> salvo number that lays last block in first fuse
snl = s0*121^nl + (35 + ph - 8*nl)*(121^nl - 1)/120 + 8*sum[k=(0, nl-2), (121^(k+1) - 1)/120] -> salvo number that lays last block in first fuse
snl = s0*121^nl + (35 + ph - 8*nl)*(121^nl - 1)/120 + 8*((121^nl - 1)/120 - 1 - (nl - 1))/120 -> salvo number that lays last block in first fuse
snl = s0*121^nl + (35 + ph - 8*nl)*(121^nl - 1)/120 + 8*(121^nl - 121 - 120*(nl - 1))/120^2 -> salvo number that lays last block in first fuse
snl = s0*121^nl + (35 + ph - 8*nl)*(121^nl - 1)/120 + 8*(121^nl - 120*nl - 1)/120^2 -> salvo number that lays last block in first fuse
t0 = 60 + ph + 120*snl -> fundamental first sawtooth pull time - time of application of 0th pull of first sawtooth to second sawtooth
u0 -> pull number of first sawtooth that sets block for first pull on second sawtooth
v0 = u0 + t0*121^u0 - 484 -> pull number of first sawtooth to trigger death when second sawtooth block set by u0th first sawtooth pull (with no second sawtooth loaves)
5*t0*121^n + 1396 - ph -> time of death with diehard programmed to n first sawtooth pulls and 0 second sawtooth pulls (with no second sawtooth loaves)
5*t0*121^v0 + 1396 - ph -> time of death with diehard that sets second sawtooth block after vth first sawtooth pull and 1 second sawtooth pulls (with no second sawtooth loaves)
nt = (v0 - u0 - 104 - ph)/24 -> number of second fuse loaves when triggered by nth first fuse pull (use v0 because second fuse light is same salvo that drops the first block in the second sawtooth)
un+1 = un + t0*121^un - 484 - 8*(nt - n) - 28 -> tetrational iterator
v = unt + t0*121^unt - 484 -> Total number of first salvo pulls prior to death of diehard (or something like that)
5*t0*121^v + 1396 - ph -> time of death of tetrational diehard

I think that the parameters of this thread need to be expanded to liven up the discussion. In particular, I propose that various areas be considered be expanded and what design approaches are appropriate at any given area to achieve the longest lasted diehard to be an interesting question.

This will be the topic of my next post.

Have a happy day,

-Tim Coe

[moebius]

Hi All,

So, I speculated as to what the minimum area that could be achieved to create an exponential diehard. I feel a proper exponential diehard would be based on Sawtooth195. So I set about making a diehard out of Sawtooth195.

The most difficult part of the construction of a diehard is the destruction mechanism. But it is undesirable to allocate additional area to the destruction mechanism. So from that perspective the entire destruction must be effected by insertion of still lives in the already present gaps that are here and there around the infrastructure. So my strategy was to place and run "all the still lives that fit" in various steps and various places and keep progressing with the still lives that most effect the final goal of cleaning up the Simkin guns and destroying the C/5 ship.

For example the first still life I inserted I ended up getting the bottom half of the design cleared, the left Simkin gun stopped, and a lane 2 destruction glider sent to the C/5 ship. The gap at the top between the two Simkin guns was prime real estate for a destructor still life, so I modified my still life generation routine to put all the still lives that fit there without interfering with the Simkin guns.

When I was done I managed to produce the following 46 X 56 (area 2576) diehard that dies out on generation 71161184:

Code: Select all

x = 56, y = 46, rule = B3/S23
5b4o4b2o3b2ob2o12b3o$13b2o4bob2o12b3o$7bobo9bo14bo3bo16bo$10bo9b3o9bob
5o9b2o5bo$9b2o11bo7b3o3b2o10b2o3bobo$30bo24bo$6b2o22b2obo17bobo$6b2o
14bo8bo19b2o$22b3o$25bo$22b2obo$bo20bobo3b2o$obo13b3o9b2o5bo$bobo13bo
15b3o$bo2bo3bo15b2o7bo$b2o5bo7bo2bo4b2o7b4o$bo5bo7b2o2bo15bobo$6bo10bo
3bo$20b2o$15b2o$23b2o10b2o15b2o$3bo19bobo10bo7b2o6bobo$24b2o7b3o8b2o3b
o3bobo$2ob3o11b2o14bo14bobo3bo$2o2bo2bo9b2o8bo21bo$o6bo18bo2bo9bo$2o2b
o2bobo4b2o10bo2bo7b3o$2bo4bo6b2o12bo7bo17b2o$3bo2bobo27b2o16b2o$5bo18b
2o$2bob3o3bo6b2o5b2o17b2obo$4bo5bo6b2o9b2o13bob2o$3bo3bo2b2o16b2o11bob
o$12bo27bobo2b2o$12b3o26bo4bo$18bo7b2o3b2o3b2o7bo$16bo8bobo6bo10b2o$
12bo4b4o4b2o4bo5bo2bob2obo$14bobo15b2ob2o3b2obo2bo$14b2o5bo11bobo7bob
2o$13b2o3bob2o12bo5b2obobo4b2o$12bo3bo4bobo3bo6bo5bobo2bo4bobo$14bo2bo
9bo3bo5bo3bo3b2o5bo$18bob2o4b3o2bo5bo12bob2o$18b4o8b3o2b4o10bobo2bo$
29bob6o13bo2b2o!

Here are a couple of other examples shown right as the final destructive block pull begins (with the ship pulled near):

Code: Select all

x = 59, y = 53, rule = B3/S23
49b2o$49bo$47bobo$47b2o$8b2o$8b2o9bo2b2o$18bobo2bo$18bob2o19b3o$11b2o
6bo2b4o17bo6b2o5b2o$11b2o7bobo3bobo13bo7b2o5b2o$21bo3bob2o$8b2o15bo6bo
20b2o$o7b2o14b2ob2o2bobobo17b2o$3o24bo5bo2bo$3bo20b2obo$2b2o15bo4bobo
5bo$19bo12bo$18bobo11b2o$32bo3bo$17b2o7b2o4bob2o$26b2o4b3o$17b2o3$49b
2o$49b2o3$19b2o32b2o$19b2o29bobobo$ob3o36bo8b2o$ob4o10b2o21b3o$o5bo9b
2o20bo$bobobo2b3o27b2o$2bobob4o17bo$3bo2bob2o9b2o5bo15b2ob2o7b2o$3bo3b
3obo7b2o5b3o13b2obo8bo$4b3o2b2obo34bo4bobo$10bo35b2o3bobo$11bo2bo37bo$
12bo2bo10bobo14b2o8b3o$13b2o3bo7bo2bo14bo2bo7bo$14b5o7bo2bo3b2o3b2o4bo
bobo$15b4o9bo13b2obob2o$15bobo16bo3bo4bobo$14bob2obo15b3o4bo2bo$14bo3b
obo14b3o5b2o6bob2o$14bo2bo2b2o29b2obo$15b2obob2o$17bo2b2o$18bo$19b3o
13b2o$35b2o!

Code: Select all

x = 59, y = 53, rule = B3/S23
49b2o$49bo$47bobo$47b2o$8b2o$8b2o10bo4b2o$19bobo3bo$18bobobo3bo14b3o$
11b2o6bo2bo4bo15bo6b2o5b2o$11b2o7b2o4b2o14bo7b2o5b2o2$8b2o22bo20b2o$o
7b2o17b2o2bobobo17b2o$3o23bobo4bo2bo$3bo21bobo$2b2o15bo4bobo5bo$19bo4b
2o6bo$18bobo11b2o$32bo3bo$17b2o7b2o4bob2o18b2o$26b2o4b3o19bo$17b2o36bo
$54b2o$53bo$52bob2o$52bobo$51b2obo$54b2o$19b2o30b2o2bo$19b2o29bob2o$ob
3o36bo8bo$ob4o10b2o21b3o9b3o$o5bo9b2o20bo14bo$bobobo2b3o27b2o$2bobob4o
17bo$3bo2bob2o9b2o5bo15b2ob2o5bob2o$3bo3b3obo7b2o5b3o13b2obo6b2o2bo$4b
3o2b2obo34bo7bo$10bo35b2o4b2ob2o$11bo2bo36bo2bo$12bo2bo10bobo14b2o6b2o
bo$13b2o3bo7bo2bo14bo2bo6b2o$14b5o7bo2bo3b2o3b2o4bobobo2b2o$15b4o9bo
13b2obob2o2bo$15bobo16bo3bo4bobo6b3o$14bob2obo15b3o4bo2bo9bo$14bo3bobo
14b3o5b2o9bobo$14bo2bo2b2o33bo$15b2obob2o$17bo2b2o$18bo$19b3o13b2o$35b
2o!

At this point it occurred to me that the above examples were probably not the maximum diehard delays for areas in the range of 2600. Eventually the Simkin exponentiator will win out, but a number of toads to up the number of 121 factors will have to be included first.

An alternative that would probably exceed these diehard lifetimes will be the topic of my next post.

Have a happy day,

-Tim Coe

[moebius]

Hi All,

So I was using still lives to generate destruction of Simkin guns and a C/5 ship. It occurred to me that I could select still lives to do anything I could manage to code for. The thing that I thought would be interesting to do would be to bounce gliders of a C/5 ship without the infrastructure of the Simkin guns.

How many glider bounces could be achieved off a C/5 ship in a 32 X 32 area?

I initially thought that 4 bounces plus a ship destruction (a multiplier of 5*9^4) might be achieved, but as I progressed I realized that I would run out of area. So I focused on getting 3 bounces plus a ship destruction. As I progressed, the most important aspect of each still life created was area preservation.

After many code modifications a 32 X 32 diehard was found with a lifetime of 606976 (it has an initial delay of ~166 and a multiplier of 9*9*9*5):

Code: Select all

x = 32, y = 32, rule = B3/S23
obo2bob2obo8b2ob2o2b2o$2o3b2ob2obo6bobobo3b2o$bo9bo5bo2bo2bo$11b2o5b2o
2b2o$6b2o4bo$5bobo3bo$4bobo5b3o2b2ob2o6bo$5bo3b3o2bo3bobobo3b5o$8bo2bo
6bo2bo3bo5bo$9b2o6b2o5bobob2obo$ob3o19bobobobo$ob4o8b2o9bo$o5bo6bobo
10b4o$bobobo2b3obobo15bo$2bobob4o3bo6bobo3b3o2bo$3bo2bob2o4b3o3b2obo2b
o2b2o$3bo3b3obo4bo6bo4bo$4b3o2b2obo7b3o3bobo$10bo9bo5b2o$11bo2bo$12bo
2bo14bo$13b2o3bo5b2o3bobo$14b5o6bo4b2o$15b4o5bo$15bobo6b2o4b2o$14bob2o
bo10b2o$14bo3bobo$2o2bo9bo2bo2b2o3b2ob4o$obobo10b2obob2o4bobo2bo$obo
14bo2b2o3bo2bobo$b2obo13bo6bobobo$3b2o14b3o2b2ob2o!

I found that I could swap out the first to bouncers to get a lifetime of 628846:

Code: Select all

x = 32, y = 32, rule = B3/S23
obo2bob2o3b2o6b2o6bo$2o3b2obo3b2o2bo2bo2bob2obobo$bo14b4ob2obo3bo$9bo
11bo2bo$8bobo7b2o3bo$8b2o3bo4bob3o$12bobo5bo7bo$8b2o3bo5bo6b5o$8bobo7b
o6bo5bo$9bo8b2o4bobob2obo$ob3o19bobobobo$ob4o19bo$o5bo8b2o9b4o$bobobo
2b3o3bobo13bo$2bobob4o3bobo4bobo3b3o2bo$3bo2bob2o4bo5b2obo2bo2b2o$3bo
3b3obo3b3o5bo4bo$4b3o2b2obo4bo2b3o3bobo$10bo9bo5b2o$11bo2bo$12bo2bo14b
o$13b2o3bo5b2o3bobo$14b5o6bo4b2o$15b4o5bo$15bobo6b2o4b2o$14bob2obo10b
2o$14bo3bobo$2o2bo9bo2bo2b2o3b2ob4o$obobo10b2obob2o4bobo2bo$obo14bo2b
2o3bo2bobo$b2obo13bo6bobobo$3b2o14b3o2b2ob2o!

The above designs have two bouncers on the first side and one bouncer on the second side, with the destructor in the middle. I thought that it might work out better to have one bouncer on the first side and two bouncers on the second side. So I tried this and got very fortunate in coming up with a design where I could modify my still life generation program to only produce still lives that were extremely prolific about producing early lane 2 destruction gliders.

I started getting lots of diehards (500 and counting). The following diehard has an extremely impressive destructor still life in the middle of population 59. I believe this still life can only be named the "tRNA".

Code: Select all

x = 32, y = 32, rule = B3/S23
obo2bob2obo10bo$2o3b2ob2obo9b3o3bo$bo9bo7b2o3bobobobo$11b2o5bo2b3o3bob
2o$3bo2b2o4bo5bobo3b2obo$2bo2bobo3bo5b2ob2o2bo2bo$5obo5b3o4bo5b2o$2bo
2bo3b3o2bo4bo9b2o$3bo4bo2bo6b2ob2o5bobo$9b2o7bo2bo6bo$2ob3o7b2o4bobo4b
2obo$2o2bo2bo4bobo3b2ob2o4bobo$o6bo3bobo4bo3bo4bob2o$2o2bo2bobo2bo6bob
o4b2obo$2bo4bo5b3o2b2ob2o3bo2bo$3bo2bobo6bo3bobo5bob2o$5bo12bo2bo6bo$
2bob3o3bo8b2o8bobo$4bo5bo19b2o$3bo3bo2b2o$12bo10bo$12b3o7bobob2o2b2o$
18bo3bobobo3b2o$16bo6b2o2bo$12bo4b4o4b2obo$14bobo8bo2bo$14b2o5bo4b2o$
2o2bo8b2o3bob2o6b3o$obobo7bo3bo4bobo4bo2bo$obo11bo2bo8b2o2bo$b2obo13bo
b2o3bo2b2o$3b2o13b4o3b2o!

Another interesting thing started happening with about 1 out of every 100 diehards produced. The destructor leaves behind a small still life and the C/5 destruction sends back a glider that annihilates the remaining still life. This results in a multiplier of 9^4. The following 32 X 32 still life has a lifetime of 1120270:

Code: Select all

x = 32, y = 32, rule = B3/S23
obo2bob2obo8b2o$2o3b2ob2obo7bo2bo$bo9bo5bobob2o6b2o$11b2o4b2obo2b2o3bo
2bo$3bo2b2o4bo7bo2bobobo2b2o$2bo2bobo3bo8b2obob2o$5obo5b3o8bo$2bo2bo3b
3o2bo5b2obo5b2o$3bo4bo2bo7bo2bo5bobo$9b2o8b2o7bo$2ob3o7b2o11b2obo$2o2b
o2bo4bobo7bo4bobo$o6bo3bobo6b3o4bob2o$2o2bo2bobo2bo6bo6b2obo$2bo4bo5b
3o3b4o3bo2bo$3bo2bobo6bo6bo4bob2o$5bo13b3o6bo$2bob3o3bo8bo9bobo$4bo5bo
19b2o$3bo3bo2b2o$12bo10bo$12b3o7bobob2o2b2o$18bo3bobobo3b2o$16bo6b2o2b
o$12bo4b4o4b2obo$14bobo8bo2bo$14b2o5bo4b2o$2o2bo8b2o3bob2o6b3o$obobo7b
o3bo4bobo4bo2bo$obo11bo2bo8b2o2bo$b2obo13bob2o3bo2b2o$3b2o13b4o3b2o!

After the above showed up the following with a lifetime of 1120271 appeared (not much of an improvement ):

Code: Select all

x = 32, y = 32, rule = B3/S23
obo2bob2obo9bo$2o3b2ob2obo6b3o8b2o$bo9bo5bo11bo$11b2o5bo6b2o4bo$3bo2b
2o4bo4b2o5bobo3b2o$2bo2bobo3bo9bo2bo$5obo5b3o6b3obo$2bo2bo3b3o2bo9bo4b
2o$3bo4bo2bo7b3obo4bobo$9b2o7bo2b2o5bo$2ob3o7b2o4bo6b2obo$2o2bo2bo4bob
o3b2ob2o4bobo$o6bo3bobo5bobo5bob2o$2o2bo2bobo2bo6bobo4b2obo$2bo4bo5b3o
2b2ob2o3bo2bo$3bo2bobo6bo3bobo5bob2o$5bo12bo2bo6bo$2bob3o3bo8b2o8bobo$
4bo5bo19b2o$3bo3bo2b2o$12bo10bo$12b3o7bobob2o2b2o$18bo3bobobo3b2o$16bo
6b2o2bo$12bo4b4o4b2obo$14bobo8bo2bo$14b2o5bo4b2o$2o2bo8b2o3bob2o6b3o$o
bobo7bo3bo4bobo4bo2bo$obo11bo2bo8b2o2bo$b2obo13bob2o3bo2b2o$3b2o13b4o
3b2o!

Have a happy day,

-Tim Coe

[b3s23love]

When I was done I managed to produce the following 46 X 56 (area 2576) diehard that dies out on generation 71161184:

Code: Select all

x = 56, y = 46, rule = B3/S23
5b4o4b2o3b2ob2o12b3o$13b2o4bob2o12b3o$7bobo9bo14bo3bo16bo$10bo9b3o9bob
5o9b2o5bo$9b2o11bo7b3o3b2o10b2o3bobo$30bo24bo$6b2o22b2obo17bobo$6b2o
14bo8bo19b2o$22b3o$25bo$22b2obo$bo20bobo3b2o$obo13b3o9b2o5bo$bobo13bo
15b3o$bo2bo3bo15b2o7bo$b2o5bo7bo2bo4b2o7b4o$bo5bo7b2o2bo15bobo$6bo10bo
3bo$20b2o$15b2o$23b2o10b2o15b2o$3bo19bobo10bo7b2o6bobo$24b2o7b3o8b2o3b
o3bobo$2ob3o11b2o14bo14bobo3bo$2o2bo2bo9b2o8bo21bo$o6bo18bo2bo9bo$2o2b
o2bobo4b2o10bo2bo7b3o$2bo4bo6b2o12bo7bo17b2o$3bo2bobo27b2o16b2o$5bo18b
2o$2bob3o3bo6b2o5b2o17b2obo$4bo5bo6b2o9b2o13bob2o$3bo3bo2b2o16b2o11bob
o$12bo27bobo2b2o$12b3o26bo4bo$18bo7b2o3b2o3b2o7bo$16bo8bobo6bo10b2o$
12bo4b4o4b2o4bo5bo2bob2obo$14bobo15b2ob2o3b2obo2bo$14b2o5bo11bobo7bob
2o$13b2o3bob2o12bo5b2obobo4b2o$12bo3bo4bobo3bo6bo5bobo2bo4bobo$14bo2bo
9bo3bo5bo3bo3b2o5bo$18bob2o4b3o2bo5bo12bob2o$18b4o8b3o2b4o10bobo2bo$
29bob6o13bo2b2o!

Reduced to 46x55 with help from JLS and the 3G syntheses script:

Code: Select all

x = 55, y = 46, rule = B3/S23
5b4o4b2o3b2ob2o12b3o$13b2o4bob2o12b3o15b2o$7bobo9bo14bo3bo13b3o$10bo9b
3o9bob5o15bo$9b2o11bo7b3o3b2o16bo$30bo23bo$6b2o22b2obo13b3o4bo$6b2o14b
o8bo14bo2bo2bo$22b3o22bo$25bo22bo$22b2obo22b3obo$bo20bobo3b2o21b3o$obo
13b3o9b2o5bo15b2o$bobo13bo15b3o$bo2bo3bo15b2o7bo16bo$b2o5bo7bo2bo4b2o
7b4o$bo5bo7b2o2bo15bobo$6bo10bo3bo$20b2o31b2o$15b2o$23b2o10b2o15b3o$3b
o19bobo10bo7b2o$24b2o7b3o8b2o3bo2bobo$2ob3o11b2o14bo14bobo3bo$2o2bo2bo
9b2o8bo21bo4bo$o6bo18bo2bo9bo$2o2bo2bobo4b2o10bo2bo7b3o14bo$2bo4bo6b2o
12bo7bo16b2o$3bo2bobo27b2o15b2o$5bo18b2o28bo$2bob3o3bo6b2o5b2o17b2obo$
4bo5bo6b2o9b2o13bob2o$3bo3bo2b2o16b2o11bobo$12bo27bobo2b2o$12b3o26bo4b
o$18bo7b2o3b2o3b2o7bo$16bo8bobo6bo10b2o$12bo4b4o4b2o4bo5bo2bob2obo$14b
obo15b2ob2o3b2obo2bo$14b2o5bo11bobo7bob2o$13b2o3bob2o12bo5b2obobo4b2o$
12bo3bo4bobo3bo6bo5bobo2bo4bobo$14bo2bo9bo3bo5bo3bo3b2o5bo$18bob2o4b3o
2bo5bo12bob2o$18b4o8b3o2b4o10bobo2bo$29bob6o13bo2b2o!

[moebius]

Hi All,

I found a way to ignite a fuse with a pull. The configurations of still lives that do the lighting are actually fairly common. The difficult parts in getting it to work were working around the unmovable eater (required for C/5 spaceship destruction) and getting the phase right so the burn terminates cleanly.

I worked from calcyman's latest post. The only modifications that I made were replacing his upper fuse configuration with a configuration that lights from the first pull on the second sawtooth. So now the glider salvo that lit the fuse for calcyman sets the block for the pull.

The number of loaves left by the second fuse should go from 1.1038 * 10^1046 to somewhere around 121^(24*1.1038 * 10^1046).

Code: Select all

x = 108, y = 91, rule = B3/S23
17b8o20b12o4b5o2bo15b2o15bo$18bo4bo22bo3b2o8b2obob4obo13b2o8b2o5bo$40b
2o4bo4b2o9b4o27bo2bo4bo$41bo4b2o46b2o8b2o$41bobo8bo3bo24b2o21bobo$42b
2o3bob2obo2bo25b2o22bo$47b2o6b3o3b2o$36b3o8b2o12b2o21b2o8bo$27b2o6b3o
46b2o6b3o4b2o$27b2o13bo9b3o36bo7b2o$41bobo8bo38b2o$42bo8b3o$20b2o17bo
5bo4b2o7b2o35b2o7b3o$20b2o6bo9bobo3bobo4b2o6b2o4bo30b2o6bobo$28b2o7bob
o5bo2bobo13bobo37bo$28b2o6bobo3bo22b2o35bobob2o$29bo5bobo3bobo6bo2bo5b
2o20bo2bo19b2obo$34bobo5bo6bo2bobo3bo2bo21b4o9bo6bobobo$33bobo13bo3bob
o3b2o19bo13b2o9b2o$32bobo19bobo24b2o2b2o8b2o8bo$31bobo21bo45b2o$18b2o
3b2o5bobo6b2o5b2o4bo28b2o17bobo$18b2o3b2o4bobo7b2o5bo4bobo3b2o21b2o18b
o$19b5o6bo13bobo5bo4bobo21b2o4b2o10b2o$20bobo21b2o12b2o13b2o14bo$34b2o
37b2o11bo$20b3o4b2o5b2o51b2o$26bobo23b2o22b2o14bo8b3o$26b2o24bo23b2o
13bo2bo$41bo8bobo13b2o23bo2bo$39bobo8b2o14bobo13b2o9bo$18b2o11b2o4b2o
28b2o4b2o6bobo$19bo5bo5b2o4b2o24bo9b2o6b2o5b2o$16b3o5bobo10b2o23bobo
13bo9b2o$16bo8bobo11bobo11b2o8bo6bo6bobo23bobo$26bobo12bo10bobo14bobo
4bobo12b2o11b4o$27bobo22bo16bobo3bobo13b2o9bob2o$22b2o4bobo5bo14b2o17b
o5bo6bo18bo4bo$24bo4bo5bobo6b2o11b2o8bo5bo7b3o18b3ob2o$21bo14bo6bobo
10bobo7bobo3bobo5bo7b2o13b3obo$22b2o19b2o3b2o5bo2bobo6bo5bo6b2o6b2o12b
o3b2o$29bo10bo6bobo5b2o2b2o3bo5bo33bobo$28bobo8bobo5b2o3bo10bobo3bobo
12bo17bo2bobo$29bo10bo10bobo10bo5bo13bo18bobo$15bo28b2o6bo8bo5bo9b3o4b
o$15b3o26b2o14bobo3bobo8b3o9bo$18bo21bo20bo5bo8bo3bo8bo$17b2o20bobo16b
o5bo24bo$40b2o15bobo3bobo9b2o3b2o$5bo26b2o24bo5bo$3b2o26bobo21bo5bo$4b
2o25bo22bobo3bobo7bo$30b2o17bo5bo5bo7bobo$14b2ob2ob2o27b3o6bo11b2o23b
2o$4b2o8b2ob2obobo20bo8bo4bobo34bo2bo$3b4obo12bo20bobo6b2o5bo36bobo$bo
4b2o34b2o11bo32b2o6bo$o6bobo3b2o15bo15b2o6bobo23b2o6b2o$3o5b2o2bobo14b
obo14b2o7bo19bo4bo$8b2o3bo14bobo43bobo4b3o$4bo22bobo45bo7bo7b2o$3bo7bo
16bo16bo45b2o9bo2bobo$3b3o4b2o13bo5bo5bo6bobo56bobobo$8bo15bobo3bobo4b
2o6bo9b2o4bo16b2o8b2o14bo$7bo17bo5bo5b2o3b3o9bobo3bo2bo14bobo7b2o17bo$
7b3o18bo9bo3bo11b2o4bo2bo3b2o11bo24bo$27bobo16b2obo12bo4bo12bobo20b2o
2bo$14bo13bo3b2o13b3o2b3obo2bo8b3o10b2o19b3ob2o$13bo2bo4b2o9bo19bo2b2o
2bo4bo6bo30b2o3bo$10b2obo2bo4bobo9b3o6b2o4bob2obobo2b3o2bobo4b2o31b2ob
2o$11bo5bo4bobo10bo5bo3b2ob3o3b2o3b2o2b2o13b2o23bo$12b5o6b2o7bobo9b3ob
o10bo18b2o22b3o2bo$13bobobo14b2o4bo3b2ob3o2bo2b2obo2bobo40b2obobo$13b
5o12b2o5bobo5b2o5bo5b2obo$14bo7bo5bo2bo6bo6bob2ob2o2b2o4bo5bo$15b4o9b
2o5bo10bob2o6b2o2bo4bobob2o$16bo3b2o12bobo11bo2bo2bo3bob2o2bob3ob2o24b
obobobo2bo$22bo12bo9b2o3b3o5b2o5b6o27bob2o2b2o$23bo2bo5bo12b2ob5obob3o
10bo31b2o2bobo$24bo6bobo12b3o10bobo34bo2bobo5bo$24bo7bo12bo4bo2bo2b2o
3bo35b3o2b3o2bo$39bo2bo2bobobobobo2b2ob2o38b3o4bo$25bo9b2o6bo4bobobo3b
2ob3o36b4o4b2o$25bob2obo4b2o2b3o4bob2obo3bo4bo6bo19b2o7b5o3bob2o$24b2o
bobob2o8bo2bobobo5bo5bo5b2obo17b2o8bobobo5bo$25bob3o10b3obo4b3ob2o3bob
o5bo34b2o$26b2obo3bo5b2o5bo3b3obobo2bob2o3b3o3b2o10b2o5b2o7bobob3o$27b
3ob2o6b2o2b2o2bo2bobo3bo4b2o5bob5o9b2o5b2o6bob7o$29bo11b2obo7bo3bobo3b
2o6bo3bo24b2ob2obo$30b2o7b2obob2obobobobob2o2bob3o7b3o20b2o$31bo7b3o4b
8o5bob2o8b3o20b2o!

Have a happy day,

-Tim Coe

[b3s23love]

[diehard]

First fuse makes 10 more loaves (can you spot the optimization?):

Code: Select all

x = 108, y = 91, rule = B3/S23
17b8o20b12o4b5o2bo15b2o15bo$18bo4bo22bo3b2o8b2obob4obo13b2o8b2o5bo$40b
2o4bo4b2o9b4o27bo2bo4bo$41bo4b2o46b2o8b2o$41bobo8bo3bo24b2o21bobo$42b
2o3bob2obo2bo25b2o22bo$47b2o6b3o3b2o$36b3o8b2o12b2o21b2o8bo$27b2o6b3o
46b2o6b3o4b2o$27b2o13bo9b3o36bo7b2o$41bobo8bo38b2o$42bo8b3o$20b2o17bo
5bo4b2o7b2o35b2o7b3o$20b2o6bo9bobo3bobo4b2o6b2o4bo30b2o6bobo$28b2o7bob
o5bo2bobo13bobo37bo$28b2o6bobo3bo22b2o35bobob2o$29bo5bobo3bobo6bo2bo5b
2o20bo2bo19b2obo$34bobo5bo6bo2bobo3bo2bo21b4o9bo6bobobo$33bobo13bo3bob
o3b2o19bo13b2o9b2o$32bobo19bobo24b2o2b2o8b2o8bo$31bobo21bo45b2o$18b2o
3b2o5bobo6b2o5b2o4bo28b2o17bobo$18b2o3b2o4bobo7b2o5bo4bobo3b2o21b2o18b
o$19b5o6bo13bobo5bo4bobo21b2o4b2o10b2o$20bobo21b2o12b2o13b2o14bo$34b2o
37b2o11bo$20b3o4b2o5b2o51b2o$26bobo23b2o22b2o14bo8b3o$26b2o24bo23b2o
13bo2bo$41bo8bobo13b2o23bo2bo$39bobo8b2o14bobo13b2o9bo$18b2o11b2o4b2o
28b2o4b2o6bobo$19bo5bo5b2o4b2o24bo9b2o6b2o5b2o$16b3o5bobo10b2o23bobo
13bo9b2o$16bo8bobo11bobo11b2o8bo6bo6bobo23bobo$26bobo12bo10bobo14bobo
4bobo12b2o11b4o$27bobo22bo16bobo3bobo13b2o9bob2o$22b2o4bobo5bo14b2o17b
o5bo6bo18bo4bo$24bo4bo5bobo6b2o11b2o8bo5bo7b3o18b3ob2o$21bo14bo6bobo
10bobo7bobo3bobo5bo7b2o13b3obo$22b2o19b2o3b2o5bo2bobo6bo5bo6b2o6b2o12b
o3b2o$29bo10bo6bobo5b2o2b2o3bo5bo33bobo$28bobo8bobo5b2o3bo10bobo3bobo
12bo17bo2bobo$29bo10bo10bobo10bo5bo13bo18bobo$15bo28b2o6bo8bo5bo9b3o4b
o$15b3o26b2o14bobo3bobo8b3o9bo$18bo21bo20bo5bo8bo3bo8bo$17b2o20bobo16b
o5bo24bo$40b2o15bobo3bobo9b2o3b2o$5bo26b2o24bo5bo$3b2o26bobo21bo5bo$4b
2o25bo22bobo3bobo7bo$30b2o17bo5bo5bo7bobo$14b2ob2ob2o27b3o6bo11b2o23b
2o$4b2o8b2ob2obobo20bo8bo4bobo34bo2bo$3b4obo12bo20bobo6b2o5bo36bobo$bo
4b2o34b2o11bo17bo14b2o6bo$o6bobo3b2o15bo15b2o6bobo15bobo5b2o6b2o$3o5b
2o2bobo14bobo14b2o7bo17bobo4bo$8b2o3bo14bobo43bobo4b3o$4bo22bobo45bo7b
o7b2o$3bo7bo16bo16bo45b2o9bo2bobo$3b3o4b2o13bo5bo5bo6bobo56bobobo$8bo
15bobo3bobo4b2o6bo9b2o4bo16b2o8b2o14bo$7bo17bo5bo5b2o3b3o9bobo3bo2bo
14bobo7b2o17bo$7b3o18bo9bo3bo11b2o4bo2bo3b2o11bo24bo$27bobo16b2obo12bo
4bo12bobo20b2o2bo$14bo13bo3b2o13b3o2b3obo2bo8b3o10b2o19b3ob2o$13bo2bo
4b2o9bo19bo2b2o2bo4bo6bo30b2o3bo$10b2obo2bo4bobo9b3o6b2o4bob2obobo2b3o
2bobo4b2o31b2ob2o$11bo5bo4bobo10bo5bo3b2ob3o3b2o3b2o2b2o13b2o23bo$12b
5o6b2o7bobo9b3obo10bo18b2o22b3o2bo$13bobobo14b2o4bo3b2ob3o2bo2b2obo2bo
bo40b2obobo$13b5o12b2o5bobo5b2o5bo5b2obo$14bo7bo5bo2bo6bo6bob2ob2o2b2o
4bo5bo$15b4o9b2o5bo10bob2o6b2o2bo4bobob2o$16bo3b2o12bobo11bo2bo2bo3bob
2o2bob3ob2o24bobobobo2bo$22bo12bo9b2o3b3o5b2o5b6o27bob2o2b2o$23bo2bo5b
o12b2ob5obob3o10bo31b2o2bobo$24bo6bobo12b3o10bobo34bo2bobo5bo$24bo7bo
12bo4bo2bo2b2o3bo35b3o2b3o2bo$39bo2bo2bobobobobo2b2ob2o38b3o4bo$25bo9b
2o6bo4bobobo3b2ob3o36b4o4b2o$25bob2obo4b2o2b3o4bob2obo3bo4bo6bo19b2o7b
5o3bob2o$24b2obobob2o8bo2bobobo5bo5bo5b2obo17b2o8bobobo5bo$25bob3o10b
3obo4b3ob2o3bobo5bo34b2o$26b2obo3bo5b2o5bo3b3obobo2bob2o3b3o3b2o10b2o
5b2o7bobob3o$27b3ob2o6b2o2b2o2bo2bobo3bo4b2o5bob5o9b2o5b2o6bob7o$29bo
11b2obo7bo3bobo3b2o6bo3bo24b2ob2obo$30b2o7b2obob2obobobobob2o2bob3o7b
3o20b2o$31bo7b3o4b8o5bob2o8b3o20b2o!

[Entity Valkyrie 2]

The number of loaves left by the second fuse should go from 1.1038 * 10^1046 to somewhere around 121^(24*1.1038 * 10^1046).

What is that number in base 11?

[BlinkerSpawn]

The number of loaves left by the second fuse should go from 1.1038 * 10^1046 to somewhere around 121^(24*1.1038 * 10^1046).

What is that number in base 11?

Probably not worth writing out.

First fuse makes 10 more loaves (can you spot the optimization?):

Code: Select all

rle

You turned a tub into a long barge.

[calcyman]

Hi All,

I found a way to ignite a fuse with a pull. The configurations of still lives that do the lighting are actually fairly common. The difficult parts in getting it to work were working around the unmovable eater (required for C/5 spaceship destruction) and getting the phase right so the burn terminates cleanly.

Wow! I can confirm that this works. Together with b3s23love's optimisation, the total number of loaves produced is lower-bounded by:

121^(135361 * 121^507 / 15)

so the total lifespan is lower-bounded by:

CodeCogsEqn.gif (2.79 KiB) Viewed 1351 times

[Hippo.69]

Hi All,

I found a way to ignite a fuse with a pull. The configurations of still lives that do the lighting are actually fairly common. The difficult parts in getting it to work were working around the unmovable eater (required for C/5 spaceship destruction) and getting the phase right so the burn terminates cleanly.

Wow! I can confirm that this works. Together with b3s23love's optimisation, the total number of loaves produced is lower-bounded by:

121^(135361 * 121^507 / 15)

so the total lifespan is lower-bounded by:

CodeCogsEqn.gif

I suppose it would take some time to watch it to the end in fully accelerated golly. Busy Beavers' hell.
... I recomend to shrink the bounding box to make it more interesting for observers...

[b3s23love]

Hi All,

I found a way to ignite a fuse with a pull. The configurations of still lives that do the lighting are actually fairly common. The difficult parts in getting it to work were working around the unmovable eater (required for C/5 spaceship destruction) and getting the phase right so the burn terminates cleanly.

Wow! I can confirm that this works. Together with b3s23love's optimisation, the total number of loaves produced is lower-bounded by:

121^(135361 * 121^507 / 15)

so the total lifespan is lower-bounded by:

CodeCogsEqn.gif

Would you like to share how you calculated this (and how my trivial optimisation affected it)?

[AlbertArmStain]

could we theoretically trigger the first fuse like this:

Code: Select all

x = 176, y = 201, rule = B3/S23
116b2o$116bobo$86b2o29bo$85bo2bo33bo$86b2o33bobo$121bo2bo25b2o15bo$122b
2o26b2o8b2o5bo$106b2o51bo2bo4bo$107bo52b2o8b2o$107bobo5b2o30b2o21bobo
$108b2o3bo3bo29b2o22bo$112bo5bo8b2o$102b3o6b2obo3bo8b2o21b2o8bo$93b2o
6b3o8bo5bo31b2o6b3o4b2o$93b2o18bo3bo39bo7b2o$115b2o40b2o2$86b2o74b2o$
86bo2bo4bo36bo30b2o$94b2o19bobo12bobo$90bo3b2o20b2o13b2o32b2o$95bo20b
o8b2o20bo2bo14b2o7bo$88b2o34bo2bo21b4o19b3o$87bo37b2o19bo24bo$147b2o2b
2o18b2o2$84b2o3b2o14b2o5b2o33b2o$84b2o3b2o14b2o5bo33b2o$85b5o20bobo34b
2o2bo14bo$86bobo21b2o27b2o25b2o$100b2o26bo10b2o24bobo$86b3o11b2o26bob
o$118b2o8b2o12b2o$118bo23b2o$107bo8bobo41bo$105bobo8b2o38b2o3bo$84b2o
11b2o4b2o34b2o15b6o$85bo11b2o4b2o34b2o14bo3b3o$82b3o18b2o49b2o2b2ob2o
$82bo10b2o10bobo47b2ob2o3bo$92b2o13bo53b2o$94bo78bo$88b2o59bo22bobo$90b
o47bobo6b3o22bo2bo$87bo50b2o6bo7b2o17b2o$88b2o32b2o15bo6b2o6b2o$122bo
bo45bo$118bo3bo27bo18bobo$117bobo30bo19b2o$81bo36bo24b3o4bo$81b3o53bo
5b3o9bo$84bo52bobo2bo3bo8bo$83b2o52b2o16bo$141b2o3b2o$98b2o$97bobo$97b
o$96b2o$80b2ob2ob2o73b2o$80b2ob2obobo20bo50bo2bo$87bo20bobo50bobo$108b
2o44b2o6bo$79b2o45bo19b2o6b2o$78bobo44b2o19bo$77bobo45bobo19b3o$76bob
o70bo7b2o$75bobo79b2o11bo$74bobo14bo5bo5bo65bobo$73bobo14bobo3bobo4b2o
49b2o14b2o$72bobo16bo5bo5b2o49b2o$71bobo20bo9bo$70bobo20bobo78bo$69bo
bo22bo3b2o73bobo$68bobo16b2o9bo9bobo63b2o$67bobo17bobo9b3o6b2o$66bobo
19bobo10bo7bo10bo31b2o$65bobo21b2o7bobo18bobo30bobo$64bobo31b2o20b2o30b
o$63bobo30b2o$62bobo29bo2bo22b2o10bo$63bo30b2o11bo12b2o4b2o3bobob2o$107b
obo16b2o2bob3ob2o$107b2o11b2o9b6o34b2o$100b2o14b2o2b2o13bo28b3o4bo$100b
2o13bobo46bo2bo4b3o$114bobo41bo5bo9bo$113bobo42bo6bo2bo$112bobo50bobo
$111bobo39b2o9bobo5bo$110bobo40b2o9bo6bobo$109bobo60b2o$108bobo39b2o5b
2o$107bobo40b2o5b2o6b2o$106bobo33bobo20b2o$105bobo35b2o15b2o$104bobo36b
o16b2o$103bobo$102bobo42b2o$101bobo43bobo$100bobo46bo$99bobo47b2o$98b
obo$97bobo$96bobo$95bobo$94bobo$93bobo$92bobo$91bobo$90bobo$89bobo$88b
obo$87bobo$86bobo$85bobo$84bobo$83bobo$82bobo$81bobo$80bobo$79bobo$78b
obo$77bobo$76bobo$75bobo$74bobo$73bobo$72bobo$71bobo$70bobo$69bobo$68b
obo$67bobo$66bobo$65bobo$64bobo$63bobo$62bobo$61bobo$60bobo$59bobo$58b
obo$57bobo$56bobo$55bobo$54bobo$53bobo$52bobo$51bobo$50bobo$49bobo$48b
obo$47bobo$46bobo$45bobo$44bobo$43bobo$42bobo$41bobo$40bobo$39bobo$38b
obo$37bobo$36bobo$35bobo$34bobo$33bobo$32bobo$31bobo$30bobo$29bobo$28b
obo$27bobo$26bobo$25bobo$24bobo$23bobo$22bobo$21bobo$20bobo$19bobo$18b
obo$17bobo$16bobo$15bobo$14bobo$13bobo$12bobo$11bobo$10bobo$9bobo$8bo
bo$7bobo$6bobo$5bobo$4bobo$3bobo$2bobo$bobo$obo$bo!

[b3s23love]

could we theoretically trigger the first fuse like this:

Code: Select all

x = 176, y = 201, rule = B3/S23
116b2o$116bobo$86b2o29bo$85bo2bo33bo$86b2o33bobo$121bo2bo25b2o15bo$122b
2o26b2o8b2o5bo$106b2o51bo2bo4bo$107bo52b2o8b2o$107bobo5b2o30b2o21bobo
$108b2o3bo3bo29b2o22bo$112bo5bo8b2o$102b3o6b2obo3bo8b2o21b2o8bo$93b2o
6b3o8bo5bo31b2o6b3o4b2o$93b2o18bo3bo39bo7b2o$115b2o40b2o2$86b2o74b2o$
86bo2bo4bo36bo30b2o$94b2o19bobo12bobo$90bo3b2o20b2o13b2o32b2o$95bo20b
o8b2o20bo2bo14b2o7bo$88b2o34bo2bo21b4o19b3o$87bo37b2o19bo24bo$147b2o2b
2o18b2o2$84b2o3b2o14b2o5b2o33b2o$84b2o3b2o14b2o5bo33b2o$85b5o20bobo34b
2o2bo14bo$86bobo21b2o27b2o25b2o$100b2o26bo10b2o24bobo$86b3o11b2o26bob
o$118b2o8b2o12b2o$118bo23b2o$107bo8bobo41bo$105bobo8b2o38b2o3bo$84b2o
11b2o4b2o34b2o15b6o$85bo11b2o4b2o34b2o14bo3b3o$82b3o18b2o49b2o2b2ob2o
$82bo10b2o10bobo47b2ob2o3bo$92b2o13bo53b2o$94bo78bo$88b2o59bo22bobo$90b
o47bobo6b3o22bo2bo$87bo50b2o6bo7b2o17b2o$88b2o32b2o15bo6b2o6b2o$122bo
bo45bo$118bo3bo27bo18bobo$117bobo30bo19b2o$81bo36bo24b3o4bo$81b3o53bo
5b3o9bo$84bo52bobo2bo3bo8bo$83b2o52b2o16bo$141b2o3b2o$98b2o$97bobo$97b
o$96b2o$80b2ob2ob2o73b2o$80b2ob2obobo20bo50bo2bo$87bo20bobo50bobo$108b
2o44b2o6bo$79b2o45bo19b2o6b2o$78bobo44b2o19bo$77bobo45bobo19b3o$76bob
o70bo7b2o$75bobo79b2o11bo$74bobo14bo5bo5bo65bobo$73bobo14bobo3bobo4b2o
49b2o14b2o$72bobo16bo5bo5b2o49b2o$71bobo20bo9bo$70bobo20bobo78bo$69bo
bo22bo3b2o73bobo$68bobo16b2o9bo9bobo63b2o$67bobo17bobo9b3o6b2o$66bobo
19bobo10bo7bo10bo31b2o$65bobo21b2o7bobo18bobo30bobo$64bobo31b2o20b2o30b
o$63bobo30b2o$62bobo29bo2bo22b2o10bo$63bo30b2o11bo12b2o4b2o3bobob2o$107b
obo16b2o2bob3ob2o$107b2o11b2o9b6o34b2o$100b2o14b2o2b2o13bo28b3o4bo$100b
2o13bobo46bo2bo4b3o$114bobo41bo5bo9bo$113bobo42bo6bo2bo$112bobo50bobo
$111bobo39b2o9bobo5bo$110bobo40b2o9bo6bobo$109bobo60b2o$108bobo39b2o5b
2o$107bobo40b2o5b2o6b2o$106bobo33bobo20b2o$105bobo35b2o15b2o$104bobo36b
o16b2o$103bobo$102bobo42b2o$101bobo43bobo$100bobo46bo$99bobo47b2o$98b
obo$97bobo$96bobo$95bobo$94bobo$93bobo$92bobo$91bobo$90bobo$89bobo$88b
obo$87bobo$86bobo$85bobo$84bobo$83bobo$82bobo$81bobo$80bobo$79bobo$78b
obo$77bobo$76bobo$75bobo$74bobo$73bobo$72bobo$71bobo$70bobo$69bobo$68b
obo$67bobo$66bobo$65bobo$64bobo$63bobo$62bobo$61bobo$60bobo$59bobo$58b
obo$57bobo$56bobo$55bobo$54bobo$53bobo$52bobo$51bobo$50bobo$49bobo$48b
obo$47bobo$46bobo$45bobo$44bobo$43bobo$42bobo$41bobo$40bobo$39bobo$38b
obo$37bobo$36bobo$35bobo$34bobo$33bobo$32bobo$31bobo$30bobo$29bobo$28b
obo$27bobo$26bobo$25bobo$24bobo$23bobo$22bobo$21bobo$20bobo$19bobo$18b
obo$17bobo$16bobo$15bobo$14bobo$13bobo$12bobo$11bobo$10bobo$9bobo$8bo
bo$7bobo$6bobo$5bobo$4bobo$3bobo$2bobo$bobo$obo$bo!

Would someone like to check this assembly works (especially that it self-destructs properly)? EDIT 1: Fixed a crab that wasn’t self-destructing properly.I don’t think it could be compactified, though. Also, could someone color-code this like the original tetrational diehard?

Code: Select all

x = 111, y = 101, rule = B3/S23
50b4o$21b2o26bob2o2bo$20bo2bo32bo7b2o$21b2o25b2o2bo4bo3b2ob2o$46b5ob2o
2b2o2b2o2b2o19b2o15bo$47bob2ob2o7b2o4b3o15b2o8b2o5bo$41b2o4bo4bo10bo2b
4o24bo2bo4bo$42bo9b2o14bo26b2o8b2o$42bobo37b2o21bobo$43b2o11bo25b2o22b
o$55bo6b2o$37b3o14bo2bo4b2o21b2o8bo$28b2o6b3o15bo2bo27b2o6b3o4b2o$28b
2o13bo8b5o35bo7b2o$42bobo7bob3o35b2o$43bo10b3o$21b2o17bo5bo7b2o4b2o35b
2o6b4o$21b2o6bo9bobo3bobo12b2o4bo30b2o5bo2bo$29b2o7bobo5bo3b2o13bobo
36b2o$29b2o6bobo3bo6b2o14b2o$30bo5bobo3bobo9bo5b2o47bo$35bobo5bo9bobo
3bo2bo21bo22b3o$34bobo17bobo3b2o21bo12bo9bo$33bobo19bobo23bobo10b2o10b
2o$32bobo21bo26bo11b2o5b2o$31bobo6b2o5b2o4bo26bobo18bobo$30bobo7b2o5bo
4bobo3b2o20bo20bo$19b2o3b2o5bo13bobo5bo4bobo19bobo5b2o10b2o$45b2o12b2o
13b2o5b2o7bo$20bo3bo10b2o37b2o11bo$21b3o4b2o5b2o51b2o$21b3o3bobo23b2o
22b2o14bo8b3o$27b2o24bo23b2o13bo2bo$40bo10bobo13b2o23bo2bo$38b4o9b2o
14bobo13b2o9bo$19b2o11b2o3bobob2o25b2o4b2o6bobo$20bo5bo5b2o2bo2bob3o
20bo9b2o6b2o5b2o$17b3o5bobo9bobob2o20bobo13bo9b2o$17bo8bobo9b4o12b2o8b
o6bo6bobo$27bobo10bo12bobo14bobo4bobo12b2o$28bobo22bo16bobo3bobo13b2o
9bo4bo$23b2o4bobo5bo14b2o17bo5bo6bo17bobo2bobo$25bo4bo5bobo6b2o11b2o8b
o5bo7b3o22bo2bo$22bo14bo6bobo10bobo7bobo3bobo5bo7b2o17b2o$23b2o19b2o3b
2o5bo2bobo6bo5bo6b2o6b2o$30bo10bo6bobo5b2o2b2o3bo5bo33bo$29bobo8bobo5b
2o3bo10bobo3bobo6bo5bo18bobo$30bo10bo10bobo10bo5bo6bobo4bo19b2o$16bo
28b2o6bo8bo5bo8bo3bo3bo$16b3o26b2o14bobo3bobo7b5o8bo$19bo21bo20bo5bo7b
2o3b2o7bo$18b2o20bobo16bo5bo11b5o8bo$41b2o15bobo3bobo11b3o$33b2o24bo5b
o13bo$5bo26bobo21bo5bo$3b2o27bo22bobo3bobo7bo$4b2o25b2o17bo5bo5bo7bobo
$15b2ob2ob2o27b3o6bo11b2o23b2o$15b2ob2obobo20bo8bo4bobo34bo2bo$4b2o16b
o20bobo6b2o5bo36bobo$3b4obo34b2o11bo17bo14b2o6bo$bo4b2o6b2o15bo15b2o6b
obo15bobo5b2o6b2o$o6bobo3bobo14bobo14b2o7bo17bobo4bo$3o5b2o2bobo14bobo
43bobo4b3o$8b2o3bo14bobo45bo7bo7b2o$4bo24bo62b2o11bo$3bo7bo14bo5bo5bo
65bobo$3b3o4b2o13bobo3bobo4b2o16b2o4bo16b2o8b2o14b2o$8bo17bo5bo5b2o15b
obo3bo2bo14bobo7b2o$7bo21bo9bo15b2o4bo2bo3b2o11bo$7b3o18bobo32bo4bo12b
obo25bo$29bo3b2o34b3o10b2o24bobo$22b2o9bo31bo6bo36b2o$11bob3o6bobo9b3o
27bobo4b2o$11bob4o6bobo10bo18bo8b2o13b2o$11bo5bo6b2o7bobo18bobo22b2o$
12bobobo2b3o11b2o4bo15b2o$13bobob4o10b2o5bobo$14bo2bob2o8bo2bo6bo4b2o
9b2o14b2o$14bo3b3obo6b2o5bo6bobo9b2o4b2o2b2o4bobo$15b3o2b2obo11bobo5b
2o16b2ob2o5bob2o24b3o$21bo14bo18b2o8bobo4b2o25bo2bo3b2o$22bo2bo7bo6b2o
9b2o2b2o9b2o4bo26bob2o3bo$23bo2bo5bobo4bobo8bobo54b3o$24b2o3bo3bo5b2o
8bobo57bo$25b5o18bobo$26b4o6b2o9bobo18bo$26bobo7b2o8bobo17bo3bo17b2o7b
2o8bo$25bob2obo16bo18bo3bo17b2o7b2o7bobo$25bo3bobo11b2o25b2o35b2o$25bo
2bo2b2o10b2o2bo22b2ob3o9b2o5b2o$26b2obob2o8bo4bobo18b9o9b2o5b2o6b2o$
28bo2b2o6b2o5bo22b5obo24b2o$29bo10b2o5b2o46b2o$30b3o15bo2bo21b3o19b2o$
44bo9bo18b2o$42b2o5bo4bobo16bo$43b2o5b2o2b2o$48bo$46b2o$47b2o!

[moebius]

Hi All,

b3s23love: I imagine that calcyman has a pile of equations and analysis similar to the equations I posted a in my 8:13am post yesterday. As for your contribution it changed the 505 loaf count equation to 507. I will be dropping that back to 505 at the end of this post because I am going to delete an unrelated tub.

also b3s23love: As for doing this lighting mechanism for the first fuse, it is kind of cramped around there and I believe the specific lighter I posted would crash into the neighboring Simkin gun. I did not even attempt this on the first fuse because the payoff is much lower, and I don't know how to deal with space dust. The way I check things out is to delete a lot of the delays in the middle so that stuff happens more quickly. I will check out what you posted, as it should run in Golly for the first fuse.

I found another way to light the fuse from the pull. I have the pull block annihilated by a boat, which sends a glider back. The glider crashes into the fuse terminated with an appropriate still life and lights it. The advantage of doing this is that in the empty space in between I can place toads. I managed to fit 2 toads.

This makes the number of loaves produced in the second fuse 121^(121^(121^(135361 * 121^505 / 15))).

Code: Select all

x = 109, y = 91, rule = B3/S23
18b8o20b12o4b5o2bo15b2o15bo$19bo4bo22bo3b2o8b2obob4obo13b2o8b2o5bo$41b
2o4bo4b2o9b4o27bo2bo4bo$42bo4b2o46b2o8b2o$42bobo8bo3bo24b2o21bobo$43b
2o3bob2obo2bo25b2o22bo$48b2o6b3o3b2o$37b3o8b2o12b2o21b2o8bo$28b2o6b3o
46b2o6b3o4b2o$28b2o13bo9b3o36bo7b2o$42bobo8bo38b2o$43bo8b3o$21b2o17bo
5bo4b2o7b2o35b2o7b3o$21b2o6bo9bobo3bobo4b2o6b2o4bo30b2o6bobo$29b2o7bob
o5bo2bobo13bobo37bo$29b2o6bobo3bo22b2o35bobob2o$30bo5bobo3bobo6bo2bo5b
2o20bo2bo19b2obo$35bobo5bo6bo2bobo3bo2bo21b4o9bo6bobobo$34bobo13bo3bob
o3b2o19bo13b2o9b2o$33bobo19bobo24b2o2b2o8b2o8bo$32bobo21bo45b2o$19b2o
3b2o5bobo6b2o5b2o4bo28b2o17bobo$19b2o3b2o4bobo7b2o5bo4bobo3b2o21b2o18b
o$20b5o6bo13bobo5bo4bobo21b2o4b2o10b2o$21bobo21b2o12b2o13b2o14bo$35b2o
37b2o11bo$21b3o4b2o5b2o51b2o$27bobo23b2o22b2o14bo8b3o$27b2o24bo23b2o
13bo2bo$42bo8bobo13b2o23bo2bo$40bobo8b2o14bobo13b2o9bo$19b2o11b2o4b2o
28b2o4b2o6bobo$20bo5bo5b2o4b2o24bo9b2o6b2o5b2o$17b3o5bobo10b2o23bobo
13bo9b2o$17bo8bobo11bobo11b2o8bo6bo6bobo23bobo$27bobo12bo10bobo14bobo
4bobo12b2o11b4o$28bobo22bo16bobo3bobo13b2o9bob2o$23b2o4bobo5bo14b2o17b
o5bo6bo18bo4bo$25bo4bo5bobo6b2o11b2o8bo5bo7b3o18b3ob2o$22bo14bo6bobo
10bobo7bobo3bobo5bo7b2o13b3obo$23b2o19b2o3b2o5bo2bobo6bo5bo6b2o6b2o12b
o3b2o$41bo6bobo5b2o2b2o3bo5bo33bobo$40bobo5b2o3bo10bobo3bobo12bo17bo2b
obo$30bo10bo10bobo10bo5bo13bo18bobo$16bo12bobo13b2o6bo8bo5bo9b3o4bo$
16b3o11b2o13b2o14bobo3bobo8b3o9bo$19bo6bo14bo20bo5bo8bo3bo8bo$18b2o6b
2o12bobo16bo5bo24bo$26b2o13b2o15bobo3bobo9b2o3b2o$27bo5b2o24bo5bo$4bo
17bo9bobo21bo5bo$4bobo15b2o8bo22bobo3bobo7bo$4b2o6b2o2b2o4b2o7b2o17bo
5bo5bo7bobo$12bobo2bo5bo26b3o6bo11b2o23b2o$14bobo27bo8bo4bobo34bo2bo$
4b2o7bo2b2o25bobo6b2o5bo36bobo$4b2o2bo4b2o2bo25b2o11bo17bo14b2o6bo$2bo
4bobo5b2o14bo15b2o6bobo15bobo5b2o6b2o$2o5bo5b2o15bobo14b2o7bo17bobo4bo
$b2o5b2o2bobo14bobo43bobo4b3o$9bo2bo15bobo45bo7bo7b2o$5bo23bo16bo45b2o
9bo2bobo$3b2o5bo15bo5bo5bo6bobo56bobobo$4b2o5b2o12bobo3bobo4b2o6bo9b2o
4bo16b2o8b2o14bo$9bo16bo5bo5b2o3b3o9bobo3bo2bo14bobo7b2o17bo$7b2o20bo
9bo3bo11b2o4bo2bo3b2o11bo24bo$8b2o18bobo16b2obo12bo4bo12bobo20b2o2bo$
15bo13bo3b2o13b3o2b3obo2bo8b3o10b2o19b3ob2o$14bo2bo4b2o9bo19bo2b2o2bo
4bo6bo30b2o3bo$11b2obo2bo4bobo9b3o6b2o4bob2obobo2b3o2bobo4b2o31b2ob2o$
12bo5bo4bobo10bo5bo3b2ob3o3b2o3b2o2b2o13b2o23bo$13b5o6b2o7bobo9b3obo
10bo18b2o22b3o2bo$14bobobo14b2o4bo3b2ob3o2bo2b2obo2bobo40b2obobo$14b5o
12b2o5bobo5b2o5bo5b2obo$15bo7bo5bo2bo6bo6bob2ob2o2b2o4bo5bo$16b4o9b2o
5bo10bob2o6b2o2bo4bobob2o$17bo3b2o12bobo11bo2bo2bo3bob2o2bob3ob2o24bob
obobo2bo$23bo12bo9b2o3b3o5b2o5b6o27bob2o2b2o$24bo2bo5bo12b2ob5obob3o
10bo31b2o2bobo$25bo6bobo12b3o10bobo34bo2bobo5bo$25bo7bo12bo4bo2bo2b2o
3bo35b3o2b3o2bo$40bo2bo2bobobobobo2b2ob2o38b3o4bo$26bo9b2o6bo4bobobo3b
2ob3o36b4o4b2o$26bob2obo4b2o2b3o4bob2obo3bo4bo6bo19b2o7b5o3bob2o$25b2o
bobob2o8bo2bobobo5bo5bo5b2obo17b2o8bobobo5bo$26bob3o10b3obo4b3ob2o3bob
o5bo34b2o$27b2obo3bo5b2o5bo3b3obobo2bob2o3b3o3b2o10b2o5b2o7bobob3o$28b
3ob2o6b2o2b2o2bo2bobo3bo4b2o5bob5o9b2o5b2o6bob7o$30bo11b2obo7bo3bobo3b
2o6bo3bo24b2ob2obo$31b2o7b2obob2obobobobob2o2bob3o7b3o20b2o$32bo7b3o4b
8o5bob2o8b3o20b2o!

Have a happy day,

-Tim Coe

[moebius]

b3s23love: I ran your first fuse pull in Golly and it appears clean. The loaves ended at around -505300 505400.

Have a happy day,

-Tim Coe