Miscellaneous glider syntheses

[MathAndCode]

This thread is for glider syntheses that don't fit into other threads.
For example, here is a seven-glider synthesis of 7468M.

Code: Select all

x = 23, y = 23, rule = Conway's Life
8bo$6bobo$7b2o2$17bo$17bobo$4bo12b2o$2bobo16bo$3b2o15bo$20b3o6$8b3o$10b
o$9bo2$6b2o$3o2bobo$2bo4bo$bo!

Of course, a pi-heptomino and beehive can be trivially synthesized with four gliders total.

Code: Select all

x = 23, y = 18, rule = Conway's Life
13b2o$13bobo$13bo2$7b2o$6bobo$8bo6$20b2o$20bobo$20bo$b2o$obo$2bo!

However, this is a synthesis of a later stage, so it is akin to synthesizing a methuselah with a lifespan of 20–25 fewer ticks.

[MathAndCode]

Since methuselah syntheses are apparently notable, here is a three-glider synthesis of the 15-cell, 587-generation methuselah that lasts much longer when a tub is added.

Code: Select all

x = 7, y = 16, rule = B3/S23
3bobo$3b2o$4bo4$bo$o$3o5$4b3o$4bo$5bo!

This implies a six-glider Lidka synthesis converging at generation three. It's based off of the synthesis here but uses two gliders instead of three to make the pi.

Also, here are some late methuselah syntheses that I made for fun.

Code: Select all

x = 31, y = 30, rule = B3/S23
10bo$11b2o$10b2o16bobo$28b2o$29bo13$13bo$3o9b2o$2bo9bobo$bo3$22b3o$22b
o$23bo2$6b3o$8bo$7bo!

Code: Select all

x = 141, y = 116, rule = B3/S23
140bo$138b2o$139b2o9$96bo$96bobo$96b2o$78bo$76bobo$77b2o12$60bo$58bob
o$59b2o$72bo$73bo$71b3o2$42bo$43bo$41b3o11$67b2o$66bobo$68bo7$44b2o$43b
obo$45bo23$45b2o$44bobo$46bo24$28bo$28b2o$27bobo3$b2o$obo$2bo!

Code: Select all

x = 13, y = 18, rule = B3/S23
9bobo$9b2o$10bo7$10b3o$10bo$bobo7bo$2b2o$2bo2$2o6b2o$b2o4b2o$o8bo!

Code: Select all

x = 232, y = 197, rule = B3/S23
obo$b2o$bo66$42bobo$43b2o$43bo35$179bo$179bobo$179b2o3$84bo$82bobo$83b
2o$115bobo52bobo20bo$116b2o52b2o21bobo34bo$116bo54bo21b2o34bo$229b3o2$
91bo$92bo$90b3o133bo$225bo$225b3o23$150bo$150bobo$150b2o$136bo$134bob
o$135b2o2$147bo$146b2o$146bobo9$160bo$160bobo$160b2o$137bo28bobo$138b
o2bobo22b2o$136b3o2b2o18b2o4bo$142bo17bobo$162bo8$162b3o$162bo$141b2o
20bo$140bobo$142bo$127b3o$129bo$128bo9$5b2o$4bobo$6bo!

[wwei47]

I don't know where to put this, but based off of a reaction by iNoMed, I assembled a synthesis of a hat siamese hat, beehive at beehive, and LWSS:

Code: Select all

x = 70, y = 70, rule = B3/S23
39b3o9$46b2o$46b2o3$43bo$41bobo2b2o$32bo9b2o2bobo$31b3o13b2o$24b2o4b2o
b2o$24bobo$25bo2$40b2o$40b2o$32b3o$32bobo$30b2o2bo$30bo$30b3o2$7b3o$9b
o$8bo3$19b2o$20b2o$19bo2$10bo$10b2o$9bobo3$b2o$obo$2bo55b3o$58bo$59bo
7b3o$67bo$68bo5$51b3o$51bo$52bo11$66b3o$66bo$67bo!

[MathAndCode]

Is there a way to fix the expensive bun edgeshooter?

I improved another part of that synthesis. Here is the improved gun synthesis.

Code: Select all

x = 1332, y = 100, rule = B3/S23
1247bobo$1248b2o$1248bo16$1329bobo$1329b2o$1330bo9$585bobo$586b2o$586b
o8$899bo412bobo$897bobo412b2o$898b2o413bo$1304bo$1304bobo$1291bo12b2o$
1292bo$1290b3o2$1303bobo$1303b2o$1304bo2$90bo704bo$89bo703b2o$89b3o
702b2o2$109bo79b3o$87bo21bobo663bo129bo164bo221bo23bo$85bobo21b2o663bo
bo127bobo162bobo219bobo21b2o$86b2o686bobo127bobo162bobo219bobo21bobo$
775bo129bo164bo32bo188bo$92bo198bo811bobo$91bo197bobo811b2o$22bobo66b
3o196b2o3bobo$22b2o254bobo4bobo7b2o$23bo255b2o5b2o8bo798b2o$279bo6bo
485b2o128b2o163b2o25bo2bo191b2o17b2o$772b2o128b2o163b2o25bo2bo191b2o
17bo$913b3o162b3o14b2o203b3o3bobo$1306b2o$17bo450b2o147b2o158b2o128b2o
163b2o220b2o$16bo175bo86bo6bo81b2o98bo148bo159bo129bo164bo221bo$16b3o
172bobo83bobo5bobo80bo96b2obo145b2obo156b2obo126b2obo161b2obo218b2obo$
191bobo84b2o5bobo77b2obo96bob2ob2o142bob2ob2o153bob2ob2o123bob2ob2o
158bob2ob2o215bob2ob2o$95b2o95b2ob2o75bo13b2ob2o74bob2ob2o98bo148bo
159bo129bo164bo221bo$2bo14bo76bo2bo97bo74bobo16bo80bo99bo148bo159bo
129bo164bo221bo$obo13bo77bobo98bo75b2o4b2o10bo80bo96b2ob2o144b2ob2o
155b2ob2o14bo110b2ob2o160b2ob2o217b2ob2o$b2o13b3o72b2ob2o96b2ob2o13bo
67b2o6b2ob2o76b2ob2o95bobo146bobo157bobo15b2o110bobo162bobo21bo197bobo
$91bobo98bobo14b2o66bo8bobo78bobo99bo148bo5b2o152bo5b2o8bobo111bo5b2o
157bo5b2o13b2o199bo5b2o$93bo100bo14bobo76bo80bo99b2o147b2o4bo153b2o4bo
123b2o4bo158b2o4bo14bobo198b2o4bo$93b2o99b2o92b2o79b2o254b3o157b3o127b
3o162b3o219b3o$111b2o514bo159bo129bo164bo221bo$110b2o$112bo4$641b3o$
384bo80b2o10b2o112bo49bo$383bo82b2o8bo2bo111b2o49bo$25b2o356b3o79bo10b
o2bo110bobo$24b2o451b2o$26bo348b2o$376b2o580bo$375bo581b2o$957bobo2$
482b3o$482bo$483bo!

[iNoMed]

Related to that, here's a 37G gun synthesis using an improvement found by Extrementhusiast:

Code: Select all

x = 474, y = 92, rule = B3/S23
389bobo$390b2o$390bo16$471bobo$471b2o$472bo19$454bobo$454b2o$455bo$
446bo$446bobo$433bo12b2o$434bo$432b3o2$445bobo$221bobo221b2o$222b2o
222bo$222bo6$277bo46bo109bo23bo$276bobo44bobo107bobo21b2o$276bobo44bob
o27bo79bobo21bobo$184bo92bo11bo34bo26b2o5bo75bo$182bobo102b2o63b2o2b2o
$22bobo89bo68b2o3bobo97b2o67b2o$22b2o91bo13bo41bobo4bobo7b2o$23bo89b3o
13bobo40b2o5b2o8bo$129b2o41bo6bo$274b2o45b2o108b2o17b2o$237b3o34b2o45b
2o28b2o78b2o17bo$227bo9bo51bo42b3o16bobo88b3o3bobo$17bo209b2o9bo49b2o
61bo96b2o$16bo155bo6bo46bobo4b2o44b2o7bobo35b2o108b2o$16b3o151bobo5bob
o52bo45bo46bo109bo$131b2o38b2o5bobo49b2obo42b2obo43b2obo106b2obo$61b2o
60b2o5b2o33bo13b2ob2o46bob2ob2o39bob2ob2o40bob2ob2o103bob2ob2o$2bo14bo
42bo2bo50b2o6bo2bo6bo30bobo16bo52bo45bo46bo109bo$obo13bo43bobo52b2o5bo
bo39b2o4b2o10bo52bo45bo46bo109bo$b2o13b3o38b2ob2o5bo5bo40bo4b2ob2o47b
2o6b2ob2o48b2ob2o41b2ob2o42b2ob2o105b2ob2o$57bobo7bobob2o37b2o7bobo48b
o8bobo50bobo43bobo44bobo20b2o85bobo$59bo7b2o3b2o35bobo9bo5b2o52bo5b2o
45bo5b2o38bo5b2o39bo5b2o13bobo86bo5b2o$59b2o50bo9b2o4bo53b2o4bo46b2o4b
o39b2o4bo40b2o4bo14bo88b2o4bo$71bo56b3o57b3o50b3o43b3o44b3o107b3o$70b
2o58bo59bo52bo45bo46bo109bo$70bobo3b3o$76bo$77bo5$25b2o$24b2o$26bo!

Edit: 36G with smarter object-assembly after building the xs22:

Code: Select all

x = 509, y = 108, rule = B3/S23
506bobo$506b2o$507bo16$424bobo$425b2o$425bo19$441bobo$442b2o$442bo$
451bo$449bobo$450b2o12bo$463bo$463b3o2$200bo249bobo$199bo251b2o$199b3o
249bo7$245bo53bo139bo23bo$244bobo51bobo138b2o21bobo$244bobo51bobo15bo
121bobo21bobo$132bo112bo53bo14b2o5bo141bo$130bobo182b2o2b2o$22bobo37bo
68b2o3bobo181b2o$22b2o39bo13bo41bobo4bobo7b2o$23bo37b3o13bobo40b2o5b2o
8bo$77b2o41bo6bo$467b2o$242bo71b2o151bo$192bobo47bo52b3o16bobo142b3o3b
obo$17bo174b2o48bo71bo150b2o$16bo103bo6bo44b2o13bobo3bo41b2o52b2o162b
2o$16b3o99bobo5bobo43bo15b2o45bo53bo163bo$79b2o38b2o5bobo40b2obo15bo
43b2obo50b2obo160b2obo$71b2o5b2o33bo13b2ob2o37bob2ob2o56bob2ob2o47bob
2ob2o157bob2ob2o$2bo14bo44b2o6bo2bo6bo30bobo16bo43bo62bo53bo163bo$obo
13bo46b2o5bobo39b2o4b2o10bo43bo62bo53bo163bo$b2o13b3o43bo4b2ob2o47b2o
6b2ob2o39b2ob2o58b2ob2o5bo5bo37b2ob2o159b2ob2o$58b2o7bobo48bo8bobo41bo
bo60bobo7bobob2o38bobo20b2o139bobo$57bobo9bo59bo43bo62bo7b2o3b2o39bo5b
2o13bobo140bo5b2o$59bo9b2o58b2o42b2o61b2o52b2o4bo14bo142b2o4bo$248bo
48b3o161b3o$247b2o50bo163bo$247bobo3b3o$253bo$254bo5$25b2o$24b2o$26bo
14$407bo$407b2o$406bobo!

Edit 2: 35G because of course we can now use a 3G fishhook:

Code: Select all

x = 443, y = 108, rule = B3/S23
440bobo$440b2o$441bo16$358bobo$359b2o$359bo19$375bobo$376b2o$376bo$
385bo$383bobo$384b2o12bo$397bo$397b3o2$200bo183bobo$199bo185b2o$199b3o
183bo7$245bo56bo70bo23bo$244bobo54bobo69b2o21bobo$244bobo54bobo68bobo
21bobo$132bo112bo56bo94bo$130bobo$22bobo37bo68b2o3bobo$22b2o39bo13bo
41bobo4bobo7b2o$23bo37b3o13bobo40b2o5b2o8bo115bo$77b2o41bo6bo123b2o$
252b2o52b2o93b2o$299bo6bo94bo$192bobo46b3o55bo4bobo86b3o3bobo$17bo174b
2o105bo4b2o93b2o$16bo103bo6bo44b2o13bobo3bo41b2o55b2o93b2o$16b3o99bobo
5bobo43bo15b2o45bo56bo94bo$79b2o38b2o5bobo40b2obo15bo43b2obo53b2obo91b
2obo$71b2o5b2o33bo13b2ob2o37bob2ob2o56bob2ob2o50bob2ob2o88bob2ob2o$2bo
14bo44b2o6bo2bo6bo30bobo16bo43bo62bo56bo94bo$obo13bo46b2o5bobo39b2o4b
2o10bo43bo62bo56bo94bo$b2o13b3o43bo4b2ob2o47b2o6b2ob2o39b2ob2o58b2ob2o
18b2o32b2ob2o90b2ob2o$58b2o7bobo48bo8bobo41bobo60bobo19b2o33bobo92bobo
$57bobo9bo59bo43bo62bo21bo34bo94bo5b2o$59bo9b2o58b2o42b2o61b2o55b2o93b
2o4bo$395b3o$240bo156bo$240b2o$239bobo5$289b3o$25b2o264bo$24b2o264bo$
26bo272b3o6bo$301bo5b2o$300bo6bobo3$307bo$306b2o$306bobo7$341bo$341b2o
$340bobo!