Still Life Synthesis Thread

[GUYTU6J]

New page!
I was checking the soups of xs17_0ggc453zha6z11 in the hope of finding a synthesis component adding 10 cells (long snake and banana) to a fishhook. However, this soup lays a long snake first, followed by making a boat-bit, dropping a block, and reacting with a pi and an obo! spark parent; consequently the suggested 3-stage 7-glider component works in the other direction.

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x = 14, y = 27, rule = B3/S23
13bo$11b2o$12b2o3$2bo$3bo$b3o2$5bo$4bo$4b3o$11bo$10b2o$10bobo4$2o4bo$
2o3bobo$5b2o2$5b2o$5bo$6bo$7bo$6b2o!

Not many small still lives would benefit from this component in terms of minimal synthesis cost, though, because the related xs17_0ggc453z12ego that provides an eater head for further modification is competitively cheap.
---
These two were built a few days ago, just noted for my interest and to enrich this post.
xs16_64kr2pm in 9G based on this soup

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x = 35, y = 36, rule = B3/S23
13bo$14bo$12b3o$8bo$2bo3bobo$obo4b2o$b2o29bobo$32b2o$33bo12$27b3o$27bo
$28bo3$14bo$14b2o$13bobo$7bo$7b2o$6bobo3$3b3o$5bo$4bo!

The job log says that this reduction to xs16_64kr2pm propagates to 300+ other still lives.
xs16_0g8it2sgz23 reduced from 11G to 6G based on the first soup I checked

Code: Select all

x = 19, y = 15, rule = B3/S23
9bo$7bobo$bo6b2o$2b2o$b2o13bo$16bobo$11b3o2b2o$11bo$12bo3$7b2o$3o4bobo
$2bo4bo$bo!

2 + 2 + (15 + 100) = 119 still lives to go for n-in-(n-5).
EDIT next morning:

10G synthesis of xs17_0c88m952z6421

Two-directional 9G from a later sequence:

Code: Select all

x = 28, y = 25, rule = B3/S23
10bobo$11b2o$11bo6$2bobo$3b2o$3bo3$8bo9bo$9b2o8bo$8b2o7b3o$25bo$26b2o$
25b2o2$b2o4b3o$obo6bo3b3o$2bo5bo6bo5b2o$14bo5bobo$22bo!

Sadly it is not a good component from loaf to cis-hook with tail.

[May13]

10G synthesis of xs17_0c88m952z6421:

Code: Select all

x = 79, y = 55, rule = B3/S23
41bo$41bobo$41b2o$36bo$34bobo$35b2o4$37bo12bobo$37bobo10b2o$37b2o12bo
5$35bo$20bobo3bo7bo$21b2o4bo6b3o$21bo3b3o$55bo$54b2o$54bobo28$76b2o$
76bobo$3o73bo$2bo$bo!

Edit: I figured out that there are only 2 15-bit still lifes without known 10G syntheses:
xs15_31248a51246 and xs15_358ge12ko
Edit: synthesis of xs22_01784k8z8kc32156 (starting from 19-bit still life):

Code: Select all

x = 100, y = 44, rule = B3/S23
26bo$26bobo$26b2o2$11bo$12bo$10b3o3$15bo$7bo6bo$8b2o4b3o$7b2o88bobo$
97b2o$98bo2$4bobo$5b2o$5bo65b3o3bo$73bo4b2o$20b2o50bo4b2o11b2o$19bobo
67bobo$18bo69bo$17bob2o55b2o9bob2o$18bo2bo55b2o9bo2bo$20bo55bo13bo$18b
ob2o66bob2o$18b2o2bo65b2o2bo$21b2o63b2o3b2o$85bobo$86bo6$b2o$obo$2bo3b
o$6b2o$5bobo$27b2o$26b2o$28bo!

Edit 2: synthesis of xs22_0g8ehjoz1qhe2:

Code: Select all

x = 22, y = 37, rule = B3/S23
3bo$4b2o$3b2o3$bo$2bo$3o2$16bobo$7bobo6b2o$8b2o7bo$8bo4$2bo$obo16b2o$b
2o15bobo$18bo$16b3obo$15bo3bobo$16b2o2bo$18b2o$18bo$16bobo$16b2o4$5b2o
$6b2o$5bo10b3o$16bo$12b2o3bo$11bobo$13bo!

[mniemiec]

EDIT on April 11: Yesterday I found a 4-glider synthesis of xs11_bdz352: ...

This non-trivially produces this 5-glider synthesis of xs10_bdz33, which is smaller and faster (but not cheaper) than the current record:

Code: Select all

x = 28, y = 22, rule = B3/S23
25bo$25bobo$25boo3$o$boo$oo$$6boo$5bobobboo$7bobbobo$10bo7$22boo$22bob
o$22bo!

[carsoncheng]

This non-trivially produces this 5-glider synthesis of xs10_bdz33, which is smaller and faster (but not cheaper) than the current record:

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x = 28, y = 22, rule = B3/S23
25bo$25bobo$25boo3$o$boo$oo$$6boo$5bobobboo$7bobbobo$10bo7$22boo$22bob
o$22bo!

This pseudo-still-life can actually be made in 4 gliders:

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x = 25, y = 8, rule = B3/S23
12b2o$3o9bobo$2bo9bo$bo2$6b2o14b2o$5b2o15bobo$7bo14bo!

EDIT: A related pseudo still life, xs10_0brz32, in 4G down from 5G:

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x = 28, y = 15, rule = B3/S23
25bo$25bobo$obo22b2o$b2o$bo7$13bo$14b2o3bo$13b2o4bobo$19b2o!

[hkoenig]

A minor request.

EDIT on April 11: Yesterday I found a 4-glider synthesis

I missed a bunch of these updates because they were in posts from almost a week earlier. I probably would have missed them even if I was looking for update.

In the future, would it be possible to batch the updates together and do them all in a separate post, or attach them to the next day's post? Or at least not update a posting older than more than an hour or two?

That said, I do like all these new synthesis components.

[May13]

Two reductions from QuFince_stdin (haul by Anonymous): xs21_wg88ge1e853z6221 from 15G to 9G and xs19_wg88ge1egoz6221 from 12G to 10G

Code: Select all

x = 99, y = 31, rule = B3/S23
bo$2bo3bobo66bobo$3o4b2o67b2o$7bo68bo6$80bo$81b2o$80b2o4$23bo69bo$23b
3o67b3o$26bo69bo$25bo69bo$26b3o67b3o$28bo48b3o18bo$79bo$78bo2$58b3o$7b
3o50bo$2b3o4bo49bo$4bo3bo$3bo74bo$78b2o$77bobo!

Edit: xs19_xci52zi5ldz11 from 12G to 8G:

Code: Select all

x = 28, y = 29, rule = B3/S23
bo$2bo3bobo$3o4b2o$7bo12$23bo$23b3o$26bo$25bobo$26bo6$7b3o$2b3o4bo$4bo
3bo$3bo!

Edit 2: xs17_17871ug8o from 12G to 11G:

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x = 34, y = 34, rule = B3/S23
7bo$5bobo$6b2o2$12bo$13bo$11b3o8$30b2obo$30bob2o$27b2obo$27bob2o7$8b2o
$9b2o$8bo2$12b3o$14bo$13bo$3o$2bo$bo!

Edit 3: related to 16-in-11, 10G synthesis of xs16_o8blgozw56 (down from 12G):

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x = 112, y = 26, rule = B3/S23
8bobo$9b2o$9bo$75bo$76bo$30bobo41b3o$obo27b2o$b2o28bo53b2o$bo33bo49b2o
$34b2o$34bobo55b2o10bo$92bo10bobo$89b2obobobo7b2o$80b2o7bobobob2o$80bo
bo10bo$9bobo69bo10b2o$10b2o$10bo33bo54b2o$14bo28b2o54b2o$14b2o27bobo$
13bobo93b3o$109bo$110bo$36bo$35b2o$35bobo!

Edit 4: I found a xs23_0cc0c48c453z6953 in my soup, so I'm trying to get 9G or 8G synthesis:

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x = 16, y = 16, rule = B3/S23
oobbobobooboobbo$
obbboobbbbooobbo$
obbbbboooobobooo$
bbbbbbbboboobobo$
boobbobobbobbobo$
oboobobooobbbobo$
obooobobbbbbboob$
bbboobobboobbbob$
bobobbobooobooob$
obbbbbbboobooobo$
obobbbbbobbbbbob$
obbobbooboooobbo$
bbbobbobobobbooo$
boobobbbbobobbbo$
boooooobbbbobooo$
bobbbbobbbobobbb!

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x = 76, y = 25, rule = B3/S23
12b2o51b2o$12b2o50bobo$64bo$63b2o$63bo$64bo$63b2o4bo$20b3o37b2o7bo$59b
obob2o4bo$18bo5bo33bo2bob2o$18bo5bo34b2o$18bo5bo2$20b3o34b2o14b3o$56bo
2bo13bo$15bo41b2o15bo$14b3o$13bob3o$12b2o3b2o$13b2o3b2o30b3o$14b5o33bo
$16b2o33bo$b2o$obo$2bo!

Done (9G):

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x = 147, y = 55, rule = B3/S23
35bo$36bo$34b3o99b2o$135bobo$135bo$134b2o$134bo$135bo$134b2o4bo$131b2o
7bo$130bobob2o4bo$129bo2bob2o$130b2o3$128b2o14b3o$127bo2bo13bo$128b2o
15bo3$22b2o43b2o$23b2o42bobo51b3o$22bo44bo55bo$122bo6$77b3o$77bo$78bo
14$33b3o$15b3o17bo$17bo16bo$16bo4$b2o$obo$2bo!

[EvinZL]

Currently, xs21_256o8g0siczx643 costs 9 gliders:

Code: Select all

#C [[ GRID MAXGRIDSIZE 14 THEME Catagolue ]]
#CSYNTH xs21_256o8g0siczx643 costs 9 gliders (true).
#CLL state-numbering golly
x = 67, y = 19, rule = B3/S23
22bobo$22b2o$23bo$2bo57b2o$obo13bo43bobo$b2o13bobo43bo$5b2o9b2o42b
obob2o$4bobo52bobo2bobo$6bo53bo3bobo$65bo2$17b2o42bo$9b2o6bobo40b
2o$8b2o7bo37b2o3bobo$10bo45b2o$55bo$2b3o$4bo$3bo!

However, here's a simple 6g:

Code: Select all

x = 24, y = 27, rule = B3/S23
20bo$19bo$19b3o11$obo$b2o$bo20bo$21b2o$21bobo2$5bo$6bo13b2o$4b3o13bobo
$20bo2$5b2o$5bobo$5bo!

[May13]

Currently, xs21_256o8g0siczx643 costs 9 gliders:

Code: Select all

#C [[ GRID MAXGRIDSIZE 14 THEME Catagolue ]]
#CSYNTH xs21_256o8g0siczx643 costs 9 gliders (true).
#CLL state-numbering golly
x = 67, y = 19, rule = B3/S23
22bobo$22b2o$23bo$2bo57b2o$obo13bo43bobo$b2o13bobo43bo$5b2o9b2o42b
obob2o$4bobo52bobo2bobo$6bo53bo3bobo$65bo2$17b2o42bo$9b2o6bobo40b
2o$8b2o7bo37b2o3bobo$10bo45b2o$55bo$2b3o$4bo$3bo!

However, here's a simple 6g:

Code: Select all

x = 24, y = 27, rule = B3/S23
20bo$19bo$19b3o11$obo$b2o$bo20bo$21b2o$21bobo2$5bo$6bo13b2o$4b3o13bobo
$20bo2$5b2o$5bobo$5bo!

Are you trying to synthesize xs25_32q4owggca4zx11078d? I found a 7G synthesis:

Code: Select all

x = 38, y = 34, rule = B3/S23
14bobo18bo$15b2o18bobo$15bo19b2o2$29bobo$2bo26b2o$3b2o25bo$2b2o8$7bo$
8b2o$7b2o5$10bo$10b2o$9bobo7$3o$2bo$bo!

[AbhpzTa]

Currently, xs21_256o8g0siczx643 costs 9 gliders:

Code: Select all

#C [[ GRID MAXGRIDSIZE 14 THEME Catagolue ]]
#CSYNTH xs21_256o8g0siczx643 costs 9 gliders (true).
#CLL state-numbering golly
x = 67, y = 19, rule = B3/S23
22bobo$22b2o$23bo$2bo57b2o$obo13bo43bobo$b2o13bobo43bo$5b2o9b2o42b
obob2o$4bobo52bobo2bobo$6bo53bo3bobo$65bo2$17b2o42bo$9b2o6bobo40b
2o$8b2o7bo37b2o3bobo$10bo45b2o$55bo$2b3o$4bo$3bo!

However, here's a simple 6g:

Code: Select all

x = 24, y = 27, rule = B3/S23
20bo$19bo$19b3o11$obo$b2o$bo20bo$21b2o$21bobo2$5bo$6bo13b2o$4b3o13bobo
$20bo2$5b2o$5bobo$5bo!

5G:

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x = 20, y = 30, rule = B3/S23
10bobo$11b2o$11bo19$11b2o$12b2o$6b2o3bo$7b2o$6bo2$3o15b2o$2bo14b2o$bo
17bo!

[GUYTU6J]

To me it has been always interesting that a house-tie-boat induction coil can be made in only 3 gliders, even since my early days of practising synthesis. Inspired by soups, the key active region may be perturbed with one or two gliders to give a ship, fishhook or aircraft carrier for the tie.

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x = 109, y = 26, rule = LifeHistory
2.A6.A.A30.A6.A.A30.A6.A.A$A.A6.2A29.A.A6.2A29.A.A6.2A$.2A7.A30.2A7.A
30.2A7.A2$6.A.A17.A19.A.A17.A19.A.A17.A$7.2A17.A.A18.2A17.A.A18.2A17.
A.A$7.A4.2D12.2A19.A4.2D12.2A19.A4.2D12.2A$12.D.D37.D.D37.D.D$14.D39.
D39.D$12.D.D27.C9.D.D37.D.D$12.2D29.C8.2D38.2D$10.2D10.2A17.3C6.2D10.
2A26.2D10.2A$9.D.D10.A.A26.D10.A.A23.D2.D10.A.A$9.2D11.A25.3D11.A25.
2D12.A$48.D33.C.C$83.2C$83.C$2C$.2C$C2$93.2C$92.2C$42.3C49.C$44.C$43.
C!

These synchronized reactions are strictly cheaper than the staged routes via stable intermediate house-tie-boat before this update, perhaps matching the characteristics of fast components.

Code: Select all

#C [[ GRID MAXGRIDSIZE 14 THEME Catagolue ]]
#CSYNTH xs24_xrhe0ehrz653 costs 7 gliders (true).
#CLL state-numbering golly
x = 74, y = 22, rule = B3/S23
2bo$obo$b2o2$26bo$8b2o16bobo$9b2o15b2o39b2o3b2o$8bo58bobobobo$69bo
bo$11b3o53bobobobo$11bo55b2o3b2o$12bo9b2o41b2o$22bobo39bobo$22bo
42bo$61bo$62b2o$61b2o3$60b2o$59bobo$61bo!

Code: Select all

#C [[ GRID MAXGRIDSIZE 14 THEME Catagolue ]]
#CSYNTH xs25_rhe0ehrzy3354c costs 8 gliders (true).
#CLL state-numbering golly
x = 77, y = 17, rule = B3/S23
2bo$obo$b2o2$26bo$8b2o16bobo$9b2o15b2o42b2o3b2o$8bo61bobobobo$60bo
11bobo$11b3o47bo8bobobobo$11bo47b3o8b2o3b2o$12bo9b2o44b2o$22bobo
42bobo$22bo45bo$59bo5bo$60b2o2b2o$59b2o3bobo!

Code: Select all

#C [[ GRID MAXGRIDSIZE 14 THEME Catagolue ]]
#CSYNTH xs24_rhe0ehrzy33146 costs 10 gliders (true).
#CLL state-numbering golly
x = 81, y = 21, rule = B3/S23
2bo$obo$b2o2$26bo38bo$8b2o16bobo37b2o$9b2o15b2o37b2o7b2o3b2o$8bo
65bobobobo$63bo12bobo$11b3o47bobo10bobobobo$11bo50b2o10b2o3b2o$12b
o9b2o48b2o$22bobo46bobo$22bo36b3o3b2o5bo$61bo4b2o$60bo4bo3$69b3o$
71bo$70bo!

Moving an old post of mine from that thread to this place for exposure:

While checking soups for xs16_3123qajo, I saw this one producing a pseudo still life xs20_3pabobjo that apgsearch dissects into a block and an xs16_3123qajo when recognizing objects. The core reaction implies two syntheses: not only for xs20_3pabobjo itself, but also for cis-rotated_?-table_siamese_snake (xs20_3pabqajo).

Code: Select all

x = 135, y = 26, rule = B3/S23
34bo99bo$obo29b2o98b2o$b2o30b2o98b2o$bo$23bo99bo$21b2o98b2o$11bo10b2o
87bo10b2o$12b2o98b2o$11b2o82bo15b2o$93bobo$94b2o$16bobo97bobo$16b2o98b
2o$11bobo3bo93bobo3bo$12b2o98b2o$12bo99bo$102bo$103bo4bo$101b3o5bo$
107b3o4$103b3o$105bo$104bo!

For reference, this is the previous route for xs20_3pabqajo synthesis via xs16_3123qajo and xs20_3pabobjo.

Code: Select all

#C [[ GRID MAXGRIDSIZE 14 THEME Catagolue ]]
#CSYNTH xs20_3pabqajo costs 17 gliders (true).
#CLL state-numbering golly
x = 213, y = 33, rule = B3/S23
113bo$111b2o$112b2o4$8bo19bo81bo$6bobo18bo82bobo7bo$7b2o18b3o75bo
4b2o6b2o$106b2o11b2o$105b2o3$2bo$3bo2bobo9bobo$b3o2b2o10b2o137bo
37bo$7bo11bo41bo11b2o36b2o42bobo3b2o30bobo15b2o$62bo11bo37bo43b2o
4bo31b2o3bobo6b2o2bo$60b3o9bo37bo41b2o7bo38b2o6b2obo$72b2o36b2o39b
obo7b2o37bo10b2o$64b2o3b2obo34b2obo42bo4b2obo34b2o10b2obo$b2o61b2o
4bobo35bobo48bobo33bobo11bobo$obo66bo2b2o33bo2b2o46bo2b2o34bo10bo
2b2o$2bo66b2o36b2o49b2o48b2o7$7b2o$8b2o$7bo!

Questions:
1)Does the wing sequence in xs20_3pabobjo synthesis count as a fast component? (EDIT: in retrospect, probably not; it is synchronized, hence fast, but not generalizable, so not a component.)
2)How to remove the pseudo block in xs20_3pabobjo to synthesize xs16_3123qajo in at most 11 gliders?
3)Is it possible to stabilize this with fast components?

Code: Select all

x = 35, y = 21, rule = B3/S23
2bobo$3b2o$3bo3$34bo$32b2o$33b2o2$obo20bo$b2o18b2o$bo9bo10b2o$12b2o$
11b2o3$16bobo$16b2o$11bobo3bo$12b2o$12bo!
#C [[ STOP 41 ]]

(EDIT half an hour later: an induction coil insertion from this post works; are there more?)

Code: Select all

x = 46, y = 35, rule = B3/S23
13bobo$14b2o$14bo3$45bo$43b2o$44b2o2$11bobo20bo$12b2o18b2o$12bo9bo10b
2o$23b2o$22b2o3$27bobo$4bobo20b2o$5b2o15bobo3bo$5bo17b2o$23bo$15bo$16b
2o$15b2o7$9b2o$10b2o20bo$2o7bo21b2o$b2o28bobo$o!

4)Is it worthwhile to give the 4-glider active region a name? It makes a C2_2-symmetric constellation of two loaves (xs14_6952zw4a96), and there are other 2-loaf constellations dubbed toast and sandwich.

EDIT: which 3-glider century recipe can be applied in the southeast, so as to make the northeast corner variable?

Code: Select all

x = 40, y = 37, rule = B3/S23
34bo$3bo18bobo9bobo$bobo18b2o10b2o$2b2o19bo2$7bobo$8b2o$8bo$34bo$32b2o
$33b2o$2bo$obo$b2o$17b3o$19bo$18bo4$13b3o$15bo$14bo8$37b2o$37bobo$37bo
2$2b3o9b2o$4bo8bobo$3bo11bo!

EDIT2: whoops a single glider hitting a boat after stabilization would suffice to make that nine (wing or R-loaf) already

Code: Select all

x = 53, y = 21, rule = B3/S23
47bo$46bobo$13b2o31b2o$12bobo29b2o$12bo30bobo$9b2obobo24b2o2bo$9bobob
2o24bobobobo$o10bo29bo2b2o$b2o6bobo27bobo$2o7b2o28b2o$7b2o28b2o$6bobo
27bobo$7bo22b2o5bo$15b2o2b3o9b2o12b2o2b3o$16b2obo10bo15b2obo$15bo4bo
24bo4bo3$20b3o27b3o$20bo29bo$21bo29bo!

[May13]

Several syntheses, including xs16_j9cz12139c in 11G (related to 16-in-11) and xp3_6a889b8ozxdjo (I found the first copy of this object in b3s23/C1) in 13G:

Code: Select all

x = 513, y = 228, rule = B3/S23
379bo$380b2o$379b2o6$11bobo$12b2o$12bo11$91bo$91bobo$91b2o10$169bo$
169bobo236bo$169b2o141bo96b2o16bo$163bo65bo81bo96b2o15b2o$163bo66b2o
14bo9bo54b3o112b2o$163bo65b2o13bobo7b2o$33bo211b2o8b2o51b2o81bo7bo8bo
14bo$34b2o129b3o140b2o82bo7bo5bobo15b2o$33b2o9bo345b3o5b3o6b2o14b2o$
42b2o$43b2o$67bo87b2o261b2o$65b2o88b2o262b2o$66b2o350bo$153b4o78bobo
63b2o3b2o$153bo3bo78b2o63bo2bo2bo$154b2obo78bo65b4o$156bob2o95bo50b4o$
156bo3bo93b2o48bo2bo2bo$157b4o93bobo47b2o3b2o199b2o$26b2o481bobo$27b2o
128b2o350bo$26bo130b2o345b2obobo$49b2o444bo7bo2b2obo2bo$50b2o444b2o5b
2o4bob2o$49bo9b2o434b2o12bo$58b2o86b3o153b2o204b2o$60bo174b2o8b2o55b2o
196bo$150bo85b2o7bobo13b2o236bobo$150bo84bo9bo14b2o36b3o198b2o$150bo
111bo37bo$143b2o154bo106b2o$142bobo262b2o$144bo250b3o8bo$397bo$396bo5$
403b2o$402bobo$404bo$b2o$obo$2bo4$430b2o$429b2o$431bo5$81bo$80b2o$80bo
bo44$252bo$251bo$251b3o3$250bo$251bo$249b3o3$260b2o$260bobo$260bo2$
235b2o$234bobo$236bo10b2o203bo$247b2o4bo199bo$252bobo196b3o$253bo2$
232b2o$231bobo$157bo75bo222b2o4b2o$156bo298bo2bo2bo2bo$41bo114b3o297b
2o4b2o$40bo$40b3o2$153b3o2$157bo$38b2o109b2o6bo280b2o$37b2o109bo2bo5bo
262bo18bo$39bo108b2obo269bo13bobo$26b2o14bo108b2o266b3o12bob3o$16bobo
7b2o13b2o105b2o2bo281bo$17b2o13b2o7bobo103bo2b2o275b2o6b2o$17bo14b2o
113b2o278b2o7bo$20bo127bob2o282bo$21b2o119bo5bo2bo273bo8b2o$20b2o120bo
6b2o273bobo$142bo281bo2bo$425b2o$144b3o2$17b3o$19bo$18bo122b3o$143bo$
142bo40$340b2o$340bobo$340bo!

[GUYTU6J]

By carefully choosing a corner bun edge-shooter and applying it to known long^n snake syntheses, I am able to reduce xs15_69eg8oz321, xs16_255m853zw32 and xs18_255m853zca1.

Code: Select all

x = 90, y = 57, rule = B3/S23
88bo$87bo$14bo72b3o$12b2o$13b2o3$6bobo$7b2o$7bo$2bo17bo$obo15b2o$b2o
16b2o$8b2o$9b2o$8bo4$5b2o8b2o$4bobo8bobo$6bo8bo$11bo$11b2o$10bobo42bob
o2bo$56b2o2bobo$56bo3b2o4$12bo$11bo$11b3o$19bobo$19b2o$20bo$7bo$8b2o$
7b2o4bobo$13b2o$2bo11bo5bo$obo15b2o$b2o16b2o5$37b3o$39bo$5b2o8b2o21bo$
4bobo8bobo$6bo8bo16b2o50b2o$11bo19bobo49b2o$11b2o20bo51bo$10bobo25b2o$
37bobo$39bo!

A recipe for long^3 shillelagh in Niemiec's database would be applicable if two gliders were not crossing in an invalid manner; fortunately, spark_search reveals a glider + B-heptomino substitution. Ironically, it drops exactly the same bun predecessor as what I need as junk. Suppressing that before formation gives a cheaper xs18_255m853zw346 synthesis.

Code: Select all

x = 67, y = 27, rule = B3/S23
15bobo$11bo3b2o32bo$9b2o5bo33bo$10b2o36b3o2$53bo4bo$54b2o2bobo$53b2o3b
2o4bobo$17b2o45b2o$16b2o47bo$18bo$obo16bo20bobo16bo$b2o2b3o11bobo19b2o
2b3o11bobo$bo5bo11b2o20bo5bo11b2o$6bo7b2o30bo7b2o$14bobo37bobo$14bo39b
o4$5bo10bo28bo10bo$5b2o8b2o28b2o8b2o$4bobo8bobo26bobo8bobo2$10b3o37b3o
$12bo39bo$11bo39bo!

Replacing the bun with a century seems much harder to do in 3G, though.

[May13]

10G synthesis of xs19_0j9a4oz230f9, fits in n-in-(n-5):

Code: Select all

x = 49, y = 38, rule = B3/S23
16bo8bo18b2o$17bo5b2o19b2o$15b3o6b2o6$35bo$35bo$35bo5$47bo$46bo$46b3o
3$46bo$40b3o3b2o$42bo2bobo$41bo2$b2o$obo$2bo8$18b2o$17bobo$19bo!

Edit: 11G synthesis of xs16_8k8aliczw23:

Code: Select all

x = 59, y = 62, rule = B3/S23
bo$2bo$3o16$55bo$53b2o$11bobo40b2o$12b2o$12bo3$17bo$15bobo$16b2o6$50bo
$49bobo$49bobo$32bobo15bo$33b2o$33bo2$34b2o$34bobo$34bo$29b3o$31bo$30b
o11$57b2o$56b2o$58bo$46b2o$46bobo$46bo!

[confocaloid]

I wonder if some variant of the extensible catalyst is glider-constructible for all sizes.

22 gliders to extend a variant of the p1 crystal catalyst by one unit:

Code: Select all

x = 182, y = 187, rule = B3/S23
obo$b2o$bo19$31bo$32bo$30b3o6$33bobo$34b2o$34bo19$53bo$54b2o$53b2o17$
114b2o$114bo$81bo29b2obo$82bo28b2ob2o9bo$80b3o41bo$109b4ob2o8b3o$109bo
2bob2o$106b2obo$106b2ob2o2$104b4ob2o$104bo2bob2o$101b2obo$101b2ob2o2$
99b4ob2o$99bo2bob2o21$109b3o$109bo$110bo2$120b2o$74b2o44bobo$73bobo44b
o$75bo52b3o$128bo$78bo50bo$78b2o$77bobo11$51bo$51b2o3b3o2b3o$50bobo5bo
4bo76b3o$57bo4bo77bo$141bo$145b3o$64b2o79bo$65b2o79bo$64bo11$31b2o$32b
2o$31bo3$30b3o$32bo$31bo2$152b2o$151b2o$153bo2$28bo$28b2o$27bobo22$
180bo$179b2o$179bobo!

Applied to xs20_br0rq23z23 (currently 11G), this solves xs37_y1br0rq23zbr0rq23z23 in 33G (down from 35G). Repeated application should solve xs54_y6br0rq23zy1br0rq23zbr0rq23z23 and larger ones; Catagolue did not yet have syntheses for those (although the steps conversions are not new).

Code: Select all

x = 516, y = 39, rule = B3/S23
292bo$293b2o$292b2o4$14b2o98b2o98b2o98b2o98b2o98b2o$14bo99bo99bo81bo
17bo99bo99bo$bo9b2obo96b2obo96b2obo82bo13b2obo96b2obo96b2obo$2bo8b2ob
2o95b2ob2o79bo15b2ob2o79b3o13b2ob2o95b2ob2o95b2ob2o$3o193b2o$9b4ob2o
93b4ob2o79b2o12b4ob2o93b4ob2o93b4ob2o93b4ob2o$9bo2bob2o93bo2bob2o6bo
86bo2bob2o93bo2bob2o81bo11bo2bob2o93bo2bob2o$107bobo12bobo81b2obo96b2o
bo85bobo8b2obo96b2obo$107b2o13b2o82b2ob2o95b2ob2o85b2o8b2ob2o95b2ob2o
2$306b2ob2o95b2ob2o93b4ob2o$306b2ob2o94bobob2o93bo2bob2o$406bo4$293b2o
$9b3o181bo98bobo$9bo183b2o3b3o2b3o88bo$10bo106b3o72bobo5bo4bo12b3o$96b
3o18bo81bo4bo13bo185b2o$98bo19bo7b2o91bo72b2o110bobo$97bo28bobo94b3o
67b2o109bo$126bo79b2o15bo68bo$100b2o105b2o15bo$101b2o103bo103b2o$100bo
209bobo$310bo3$289b3o$291bo$290bo!

Edit (2023-04-25): I submitted some variants up to xs103 (125 gliders) / xs104 (118 gliders) / xs105 (121 gliders), processed in j4165558144 and j4171641345.

[squareroot12621]

Here's an 8G synthesis for…bi-block on block on trans-boat with tail. The only motivation for this is that it doesn't have a glider synthesis on Catagolue:

Code: Select all

x = 58, y = 22, rule = B3/S23
48bo$48b2o3bo$47bobo2b2o$52bobo8$2bo5bo$obo5bobo42bo$b2o5b2o42bobob2o
$12b2o39b2ob2o$12bobo$12bo40b2ob2o$2b2o3b2o44b2ob2o$3b2ob2o$2bo5bo26b
2o$36b2o$35bo!

[May13]

11G synthesis of xs16_4ap6413z65:

Code: Select all

x = 93, y = 43, rule = B3/S23
32bo$31bo$31b3o13$37bo$37bobo$37b2o$70bo$71bo$69b3o2$5bo8bo$5bo7bobo$
5bo8b2o$74b3o8b2o$85bo$72bo5bo8bo$72bo5bo7b2o$72bo5bo6bo2b2o$5bo80bobo
bobo$6bo7bo59b3o10bo3b2o$4b3o5b2o$13b2o$bo$b2o$obo3$11b3o$11bo7bo$12bo
5b2o$18bobo!

99 still lifes left to complete 16-in-11.

[GUYTU6J]

The former synthesis of xs16_g88c871zc93 has two stages.

Code: Select all

#C [[ GRID MAXGRIDSIZE 14 THEME Catagolue ]]
#CSYNTH xs16_g88c871zc93 costs 12 gliders (true).
#CLL state-numbering golly
x = 78, y = 37, rule = B3/S23
30bobo$30b2o$31bo$7bobo$8b2o$8bo$31bobo$31b2o$32bo6$o$b2o$2o16bo$
16b2o$17b2o57b2o$77bo$75bo$15b2o49bo8b2o$14b2o51b2o8bo$16bo49b2o5b
4o$74bo$72bo$72b2o$19b3o42bo$19bo45b2o$20bo43b2o$71b3o$71bo$72bo$
67b3o$14b2o53bo$14bobo51bo$14bo!

The first stage involves a three-glider pre-block supplier interacting with a xs13_08ob96z32 predecessor before the curl motif becomes mature, giving product xs15_g88c93zc93. When replacing the xs13_08ob96z32 predecessor with one for xs14_0g8ob96z23, the reaction yields xs16_g88c871zc93 directly for a cost of 7G:

Code: Select all

x = 57, y = 47, rule = B3/S23
6bo$o6b2o$b2o3b2o$2o5$23bobo$24b2o$24bo17$29b2o$28bobo$30bo$39bo$38b2o
$38bobo10$3b2o$4b2o$3bo50b2o$54bobo$54bo!

I tested another pre-block agent from xs20_08ob96zra4z023 against the one in xs15_g88c93zc93, producing 8G xs22_69bo8zx4abo8zy323.

Code: Select all

x = 37, y = 35, rule = B3/S23
20bobo$20b2o$21bo9$33bo$33bobo$33b2o$3o11bo$2bo11b2o$bo11bobo3bo$18b2o
$18bobo$8b2o$7bobo$9bo10$29b2o$28b2o5bo$30bo3b2o$34bobo!

Previous record is, to my amazement, absolutely convoluted:

Code: Select all

#C [[ GRID MAXGRIDSIZE 14 THEME Catagolue ]]
#CSYNTH xs22_69bo8zx4abo8zy323 costs 73 gliders (true).
#CLL state-numbering golly
x = 498, y = 308, rule = B3/S23
156bo$157b2o$156b2o8$162bobo$163b2o$163bo4$165bo$166b2o$165b2o6$
178bo$176bobo$177b2o10$181bo$179bobo$180b2o4$193bo3bo$191bobo4b2o$
192b2o3b2o17$208bo6bo$206bobo4bobo$207b2o5b2o4$218bobo$219b2o$219b
o7$404bobo$404b2o$405bo5$394bo$394bobo$394b2o4$391bo$238bo151bo$
239b2o149b3o$238b2o3$232bo$233b2o$232b2o$380bo$379bo$379b3o2$368bo
$366b2o$367b2o4$365bo$363b2o21bo$364b2o20bobo$386b2o2$357bobo$357b
2o$358bo2$267bo$268bo106bo$266b3o106bobo$375b2o4$31bo$30bo$bobo26b
3o$2b2o$2bo2$29bo$29bobo$29b2o3$341bo$280bo60bobo151bo$278bobo55bo
bo2b2o151bo$279b2o55b2o156b3o$337bo4$81b2o37b2o195b2o168bo7b2o$81b
obo36bobo194bobo166bo8bobo$83bo38bo196bo166b3o8bo$79b4o35b4o193b4o
174b4o$80bo38bo196bo177bo$78bo38bo196bo169bobo5bo$17bo60b2o37b2o
195b2o13bo155b2o5b2o$17bobo296bo11bo156bo8bo$17b2o57b6o33b6o191b4o
12b3o159b4o$75bo6bo31bo6bo189bo177bobo$20b2o53bob2obobo31bob2obobo
189bobo175bo$8bo11bobo53bobob2o33bobob2o191b2o11bo162b2o$obo4bo12b
o49b2o51b3o194bo2b2o160bo$b2o4b3o60b2o51bo194b2o4b2o157bobo$bo122b
o194b2o163b2o$66b3o48bo370b2o$68bo48b2o369bobo$67bo48bobo369bo$
318b3o$318bo$319bo3$34b2o$33b2o290b2o$35bo288b2o9bo$326bo7b2o$334b
obo2$300b2o29b2o$301b2o27b2o$300bo31bo18$354b3o$354bo$355bo5b2o7bo
$360b2o7b2o$362bo6bobo8$367b2o$366b2o$361b2o5bo$360b2o$261b3o98bo$
263bo$262bo$288b3o$290bo$289bo7$253b2o$252bobo$254bo2$389b2o$388b
2o$236b2o152bo$237b2o$236bo23b3o$262bo$261bo$403bo$395b3o4b2o$395b
o6bobo$396bo2$410bo$409b2o$409bobo3$219b2o$218bobo$210bo9bo$210b2o
$209bobo$399b2o$399bobo$198b3o198bo$200bo$199bo26b3o$228bo169bo$
227bo169b2o$397bobo16b2o$416bobo$416bo23$182b3o$184bo$183bo18$451b
o$450b2o$450bobo5$157b2o$156bobo$158bo!

Question: how many pre-block suppliers of this type (that is, capable of constructing aircraft carrier, snake or possibly beacon analogs) are known?

[Hdjensofjfnen]

Reduction of xs20_x69m453zc8711 to 9G:

Code: Select all

x = 119, y = 26, rule = B3/S23
4bo39bobo65b2o$5bo39b2o64bobo$3b3o39bo65bo$63bo45b3o$62bobo43bo$62bobo
44bo$63bo42b3obo2b2o3bo$56bo48bo2bobo2b2o3bo$3o53b2o47b2o2bo8bo$2bo52b
obo$bo107bo$108bobo$108bobo$109bo2$48bo$48b2o13b2o$47bobo13bobo37b2o4b
2o$63bo38bobo3bobo$104bo5bo$66b2o$66bobo$66bo!

Previous 12G synthesis:

Code: Select all

#C [[ GRID MAXGRIDSIZE 14 THEME Catagolue ]]
#CSYNTH xs20_x69m453zc8711 costs 12 gliders (true).
#CLL state-numbering golly
x = 148, y = 20, rule = B3/S23
138bo$16bo119b2o$obo12bo121b2o$b2o12b3o$bo$137b2o$49b2o3bobo81b2o$
50b2o2b2o81bo$11bo37bo5bo43bo41bo$11bobo44bo40b3o39b3o$11b2o44bobo
42bo41bo$58bo42bo41bo$49b3o7b3o32bo7b3o37bob3o$51bo5bobo2bo32bo4bo
bo2bo36bobo2bo$16bo33bo6b2o2b2o30b3o4b2o2b2o37bo2b2o$16bobo$12b2o
2b2o$11b2o83b2o$13bo81bobo$97bo!

[GUYTU6J]

I recall fighting with xs16_ci52zw1i4ozw121 a long time ago, but yesterday I beat it in ten minutes:

Code: Select all

#C [[ GRID MAXGRIDSIZE 14 THEME Catagolue ]]
#CSYNTH xs16_ci52zw1i4ozw121 costs 10 gliders (true).
#CLL state-numbering golly
x = 32, y = 24, rule = B3/S23
11bo$10bo$10b3o2$23bo$obo18b2o$b2o12bo6b2o$bo3bobo7bobo$5b2o8b2o$
6bo5$25bo$15b2o8b2o$14bobo7bobo3bo$8b2o6bo12b2o$9b2o18bobo$8bo2$
19b3o$21bo$20bo!

It was a more careful inspection of previous route, combined with a lucky choice of 3G blonk-tie recipe, that made it. Around 70 syntheses were reduced by implication.

Code: Select all

#C [[ GRID MAXGRIDSIZE 14 THEME Catagolue ]]
#CSYNTH xs16_ci52zw1i4ozw121 costs 12 gliders (true).
#CLL state-numbering golly
x = 120, y = 34, rule = B3/S23
83bo$84bo$82b3o4$113bo$111b2o$obo3b2o41b2o51b2o8b2o$b2o3bobo39bo2b
o49bo2bo$bo4bo41bo2bo49bo2bo$49b2o51b2o7b2o$111bobo$111bo2$116b2o$
84bo30b2o$85b2o30bo$84b2o2$90bo$41bo46bobo$39bobo3bobo41b2o7b2o$
40b2o3b2o50bo2bo$46bo50bo2bo$88b2o8b2o$89b2o$88bo4$117b3o$117bo$
118bo!

And today's efforts. xs16_wci52zg8jdz01 in 9G based on this soup:

Code: Select all

x = 60, y = 30, rule = B3/S23
obo$b2o4bo$bo3bobo$6b2o$53bo$13bo40bo$11b2o39b3o2bo$12b2o42bobo$16bo
40bobo$15bobo40b2o$15bobo$16bo4$58bo$8bo48bobo$9b2o40b2ob2o2bo$8b2o40b
o2b2ob2o$49bobo$50bo2$18b2o$18bobo$18bo3$10b2o$11b2o$10bo!

Previous record:

Code: Select all

#C [[ GRID MAXGRIDSIZE 14 THEME Catagolue ]]
#CSYNTH xs16_wci52zg8jdz01 costs 12 gliders (true).
#CLL state-numbering golly
x = 88, y = 34, rule = B3/S23
51bobo$52b2o$52bo$73bo$16bo54b2o$15bo56b2o$15b3o2$70b2o$69b2o$71bo
$18bo$17bo$17b3o4$65b2o$65bo$2bo15bo47bo$obo14b2o46b2o11b2o$b2o14b
obo45bo12bobo$66bo11bo$4b2o58bobo19bo$5b2o43b2o11bobo19b2o$4bo46b
2o11bo20bobo$50bo5$7bo$6b2o$6bobo!

xs16_3pc0qmzw23 in 11G based on the second C1 soup:

Code: Select all

x = 128, y = 56, rule = B3/S23
44bobo$44b2o$45bo19$11bo$10bo$10b3o2$8bo$6b2o$7b2o113b2o$122b2o2$7b2o
116b2o$6b2o117bobo$8bo116bo5$13bobo$13b2o97b2o$14bo94b2o2bo$107bo2b2o$
107b2o$109b2obo$109bob2o2$102b2o$102b2o2$14b2o89b3o$13b2o90bo$15bo90bo
2$5b2o$o3bo2bo$o4bobo$o5bo!

Previous record:

Code: Select all

#C [[ GRID MAXGRIDSIZE 14 THEME Catagolue ]]
#CSYNTH xs16_3pc0qmzw23 costs 12 gliders (true).
#CLL state-numbering golly
x = 79, y = 38, rule = B3/S23
43bo$44b2o$43b2o21bobo$66b2o$67bo$38bobo$39b2o22bo5bo$39bo23bobo3b
obo$63b2o4b2o2$77bo$76bo$76b3o$2bo38bo$obo39b2o$b2o3bo34b2o$5bo$5b
3o4$55b3o2$69bo$70b2o$69b2o3$68b2o$69b2o$68bo5$43bo$43b2o$42bobo!

xs16_4al9aczx56, previously converted from xs15_4al9aczw23, now in 8G based on a randomly picked C4_4 soup, thereby influencing about 60:

Code: Select all

x = 21, y = 31, rule = B3/S23
bo$2bo$3o2$5bobo$6b2o$6bo14$9bobo4bo$10b2o5bo$10bo4b3o3$12b
2o$13b2o$12bo$19bo$18bobo$19bo!

Finally, thanks to a four-glider add-carrier component by carsoncheng, xs16_0ck3146z4a43 is down to 9G. It has better clearance than another one quoted here and lower cost than the old one:

Code: Select all

#C [[ GRID MAXGRIDSIZE 14 THEME Catagolue ]]
#CSYNTH xs16_0ck3146z4a43 costs 12 gliders (true).
#CLL state-numbering golly
x = 110, y = 57, rule = B3/S23
57bo$57bobo$57b2o4$bo$2bo$3o14$95bo$93bobo11bo$94b2o10bo$106b3o$
29bo62bo10bo$29bobo58bobo11bo$29b2o60b2o9b3o$97bo$95bobo$29b2o65b
2o$28b2o77b2o$30bo77bo$99b2o6bo$98bobo5bo$100bo5bobo$107bobo$108bo
5$105b3o$105bo$106bo9$57bo$56b2o$56bobo!

---

...
Question: how many pre-block suppliers of this type (that is, capable of constructing aircraft carrier, snake or possibly beacon analogs) are known?

A lot, and collecting them proves to be quite laborious. Even a block on cover at block on cover (xs24_c89n8brz33032) synthesis would count, and I made things like these for fun:

Code: Select all

x = 161, y = 71, rule = B3/S23
59bobo45bo$59b2o47bo$8bo51bo31bobo11b3o49bo$9b2o82b2o61b2o$8b2o15bo67b
o50bo6bo5b2o$26b2o115bo6bo$25b2o30bo70bo14b3o4b3o$57bobo66b2o$15bobo
39b2o37bo30b2o$16b2o76bobo$16bo32bo45b2o39bobo$48bo87b2o$4bobo41b3o53b
o32bo$5b2o65bobo30bo40bo$5bo66b2o29b3o40bobo$21bo51bo22bo49b2o$22b2o
70bobo61bo$21b2o15bo56b2o61bobo$39b2o117b2o$38b2o30bo$70bobo$28bobo39b
2o$29b2o69bo$29bo32bo38b2o$61bo38b2o$17bobo41b3o$18b2o$18bo5$96bobo$
97b2o$97bo$11b2o$10bobo140bo$12bo139b2o$152bobo6$6b3o$8bo$2o5bo141b2o$
b2o145b2o$o23b2o124bo$23bobo$25bo2$91b2o$90bobo61b2o$92bo61bobo$103b2o
49bo$102bobo40b3o$19b3o82bo40bo$21bo91bo32bo$13b2o5bo92b2o$14b2o96bobo
39b2o$13bo140bobo$122b2o30bo$123b2o$98b3o4b3o14bo$100bo6bo$92b2o5bo6bo
50bo$93b2o61b2o$92bo49b3o11bobo$142bo$143bo!

EDIT next day: xs16_0ckgf9z6221 in 8G based on this soup

Code: Select all

x = 45, y = 24, rule = B3/S23
o$b2o3bobo$2o5b2o$7bo12$10b3o8bo$12bo6bobo$11bo8b2o3b2o$25bo$23bobo$
23b2o$42b3o$42bo$43bo!

Or 10G based on this soup

Code: Select all

x = 29, y = 22, rule = B3/S23
24b2o$24b2o2$28bo$18b3o5b2o$27b2o3$17bo$17bo9bo$17bo9b2o$26bobo3$bo$b
2o$obo13b2o$15bobo$17bo$21b2o$21bobo$21bo!

Previous record:

Code: Select all

#C [[ GRID MAXGRIDSIZE 14 THEME Catagolue ]]
#CSYNTH xs16_0ckgf9z6221 costs 12 gliders (true).
#CLL state-numbering golly
x = 107, y = 24, rule = B3/S23
bo$2bo$3o2$104bo$14bo89bobo$13bo90b2o$8bobo2b3o$8b2o$9bo40bo5b2o
40b2o$51bo5bo32bo8bo3b2o$49b3o4bo31bobo3bo3bo4bobo$9b2o44bo33b2o2b
obobo5bo$8b2o45bobo36b2obobo$10bo36b2o7b2o40b2o$46bobo$48bo3b3o$
52bo43b2o$53bo42bobo$96bo2$93b2o$94b2o$93bo!

xs16_39cggzx1o9a4 from 11G to 9G by using the known fast component in white

Code: Select all

x = 87, y = 37, rule = LifeHistory
2.A$A.A$.2A4$5.A$3.A.A$4.2A$36.A$36.A.A$36.2A$78.A$18.A52.A7.2A$18.A.
A49.A.A5.2A$18.2A50.A2.A$15.A53.2A3.A6.A$6.2A6.2A22.C34.2A5.A$7.2A5.A
.A19.2C37.2A3.3A$6.A30.2C36.A.A7.A$76.A7.2A$84.A.A2$74.A$74.2A$73.A.A
6$20.C$20.2C$19.C.C$6.A$6.2A$5.A.A!

EDIT one weeks later: for comparison, in this job log, an update to xs16_0j5o652z321 merely transfers to about 20 still lives.

[KtT]

I found two 3G recipe of tubs:

Code: Select all

x = 19, y = 29, rule = B3/S23
2bo$obo$b2o3$7b3o$7bo$8bo2$10b2o$10bobo$10bo11$4bo$2bobo$3b2o$7bo$5b2o
10bo$6b2o8b2o$16bobo!

I don't know if these are known.

[confocaloid]

I found two 3G recipe of tubs:

Code: Select all

x = 19, y = 29, rule = B3/S23
2bo$obo$b2o3$7b3o$7bo$8bo2$10b2o$10bobo$10bo11$4bo$2bobo$3b2o$7bo$5b2o
10bo$6b2o8b2o$16bobo!

I don't know if these are known.

Did you find these manually?
Three-glider syntheses of single objects are (most likely) all known, see 3-glider collision.
Mark Niemiec's Life Page lists syntheses for small objects (here's a link for 4-bit still lifes), but it was not updated recently and some syntheses may be missing. You can search for a pattern by RLE.

Alternatively, you can search by RLE on Catagolue, but it shows only one synthesis.

[hkoenig]

The first one might be useful in building a tub fuse--

Code: Select all

x=22, y=20
18bobo$18b2o$19bo2$4bo$5b2o10bobo$4b2o11b2o$18bo2$13bo$14b2o$13b2o5bo$10b
2o7bobo$9bobo8bo$11bo3$b2o$obo$2bo!

[May13]

xs16_69q453z65 in 11G:

Code: Select all

x = 40, y = 49, rule = B3/S23
9bo$7bobo$8b2o5$25bo$25bobo6bo$2bo22b2o5b2o$obo5bo24b2o$b2o6b2o$8b2o6$
29bo$27b2o$28b2o$33b2o$33bobo$27bo5bo$27bobo$27b2o$38bo$37b2o$37bobo
10$25b2o$25bobo$25bo6$34b3o$34bo$35bo!

xs16_3123123c4go in 9G:

Code: Select all

x = 159, y = 40, rule = B3/S23
78bo$79bo$77b3o3$84bo$83bobo$83b2o4$69b2o$69b2o3$38bobo42b2o50bo7b2o$
15b2o21b2o43b2o51bo6b2o$14b2o23bo48b2ob2obo39b3o11b2ob2obo$9b2o5bo71bo
b2ob2o53bob2ob2o$10b2o68b2o13b2o43b2o13b2o$9bo70b2o13bo2bo41b2o13bo2bo
$97b2o58b2o3$30bo$29b2o$29bobo3$3o$2bo$bo$34b2o$33b2o$35bo3$36b2o$36bo
bo$36bo!

Partial synthesis of xs16_jhke1e8z1:

Code: Select all

x = 16, y = 17, rule = B3/S23
11b3o2$9bo5bo$9bo5bo$9bo5bo2$3o3$10bo$9b2o$8b2o$9b2o$11bo$9bobo$9bobo$
10bo!

[synperiplanar]

decently old, but a 13G synthesis for xs56_ml1u0e93z034baczgs2t53z6a87079c (final step by galoomba):

Code: Select all

RLE xd

back to this, could someone find me a synthesis of either of these three predecessors of the induction coil (in which all gliders are coming from the bottom side of the coil)?

Code: Select all

x = 30, y = 6, rule = B3/S23
b4o7b4o8b4o$o10bo11bo$2o9b2o10b2o$b2o9b2o10b2o$4b2o9bobo9bo$3b2o9b2o10b
2obo!

[GUYTU6J]

... could someone find me a synthesis of either of these three predecessors of the induction coil (in which all gliders are coming from the bottom side of the coil)?

I cannot see immediately how to work with these predecessors, and so I need to try some more soups out. For instance, this soup suggests a 2-stage 7-glider recipe (which does not meet your requirement though):

Code: Select all

x = 59, y = 27, rule = B3/S23
54bo$52b2o$53b2o$5bo41bo8b2o$5bobo38bobo7bobo$2bo2b2o40b2o7bo$obo$b2o$
46b2o$45bo2bo$8b3o35b2o5b2o$8bo43b2o$9bo44bo$49b2o$48bobo$50bo5$42b2o$
41bobo$43bo2$52b2o$52bobo$52bo!

The upper left corner reacts with a pre-block supplier too.

Code: Select all

x = 89, y = 35, rule = B3/S23
67bo$65bobo$66b2o20bo$21bo59bo4b2o$19b2o6bo51b2o6b2o$20b2o3b2o53b2o$
26b2o2$13bo59bo$11b2o58b2o$12b2o58b2o$6bo8b2o49bo8b2o$5bobo7bobo47bobo
7bobo$6b2o7bo50b2o7bo3$5b2o58b2o$4bo2bo56bo2bo$5b2o5b2o51b2o5b2o10b2o$
11b2o10b2o46b2o11bobo$13bo8b2o49bo10bo$8b2o14bo43b2o$7bobo57bobo$9bo
59bo5$b2o58b2o$obo57bobo$2bo59bo2$11b2o58b2o$11bobo57bobo$11bo59bo!

---
After reduction of xs16_3542ug853, there are 13 + 69 = 82 still lives to go for 16-in-11.

Code: Select all

x = 30, y = 29, rule = B3/S23
7bo$5bobo$6b2o3$15bobo$6bo8b2o$7b2o7bo$6b2o2$19bobo$19b2o$20bo$2bo$obo
$b2o24bo$27bobo$27b2o6$5b2o13b3o$4bobo13bo$6bo14bo$24b2o$24bobo$24bo!

---

By carefully choosing a corner bun edge-shooter and applying it to known long^n snake syntheses, I am able to reduce [some still lives]. ...

I generalized the strategy to certain fishhook/house derivatives, e.g. xs21_25ao4czcie123, xs22_25ao4a4zcie123 and xs23_1787p8zw321eic.

Code: Select all

x = 203, y = 72, rule = B3/S23
2bo98bo98bo$obo98bobo96bobo$b2o98b2o97b2o$6bo$6bobo$6b2o2$10bo$9bobo8b
obo$4bobo2bobo8b2o$5b2o3bo10bo$5bo9$16b3o$16bo53bobo$17bo52b2o$9b2o60b
o$10b2o51bo$9bo51b2o$62b2o2$74b2o4bo77bo$60b2o12bobo2bo79b2o$59bobo12b
o4b3o76b2o$61bo$70b2o77bo$69b2o6b2o70b2o7bo$71bo5bobo68bobo6b2o$58b2o
17bo79bobo$59b2o$58bo2$183b2o$182b2o$184bo$130b2o$131b2o$130bo7$98bo$
97b2o$97bobo2$50b3o$52bo$51bo8$197bo$196b2o$196bobo2$135b3o$137bo$136b
o!

EDIT next day: I took some inspiration from this soup and constructed xs23_c4oa52z32hu246

Code: Select all

x = 46, y = 46, rule = B3/S23
o$b2o$2o$28bo3bo$26b2o3bo$27b2o2b3o2$45bo$43b2o$5bo38b2o$3bobo$4b2o5$
31bo$30bo$20bo9b3o$19bobo$19bobo$20bo2$26b2o8b2o$28bo6b2o$37bo5$38bo$
37b2o$37bobo8$39b2o$38b2o$40bo$34b2o$34bobo$34bo!

Is there a better way to inject the indicated banana spark at generation 64? I have to employ both kickback reactions above, making the clearance of sub-pattern delivery very awful.