ConwayLife.com

And for context, I know that two of them are used in this p162 pi shuttle .

Here's the easier of the two in the p162, but that last step doesn't have enough clearance to fit against the harder one assuming this comes second.
x = 311, y = 62, rule = B3/S23
265bo$263bobo$264b2o43bo$308bo ...

x = 1355, y = 1101, rule = B3/S23
447bo$445bobo$446b2o$450bo$450bobo$450b2o4$451bo$450b2o$450bobo29$500b
o$500bobo$500b2o4$493bo$493bobo$493b2o$490bo$488b2o$306bobo180b2o$307b
2o$307bo2$399bo$399bobo$399b2o4$901bo75bo$900bo77b2o$900b3o74b2o$864b
o$865bo114bo$863b3o115b2o$882bo97b2o$882bobo ...

x = 548, y = 2754, rule = B3/S23
230bo69bo69bo$229bobo67bobo67bobo$229bobo67bobo67bobo$19bo69bo69bo67b
3ob2o64b3ob2o64b3ob2o66bo69bo$19b3o67b3o67b3o64bo69bo69bo72b3o67b3o$
22bo69bo69bo64b3ob2o64b3ob2o64b3ob2o69bo69bo$21b2o68b2o68b2o66bob2o66b
ob2o66bob2o68b2o68b2o2 ...

x = 1226, y = 1101, rule = B3/S23
447bo$445bobo$446b2o$450bo$450bobo$450b2o4$451bo$450b2o$450bobo29$500b
o$500bobo$500b2o4$493bo$493bobo$493b2o$490bo$488b2o$306bobo180b2o$307b
2o$307bo2$399bo$399bobo$399b2o4$901bo75bo$900bo77b2o$900b3o74b2o$864b
o$865bo114bo$863b3o115b2o$882bo97b2o$882bobo ...

x = 1673, y = 5841, rule = B3/S23
1064b2o$1065bo$1065bobo$1066b2o2$1459bo69bo$112bo414bo929b3o67b3o$111b
obo412bobo927bo69bo$111bobo412bobo49bo69bo69bo69bo69bo69bo69bo69bo69bo
69bo69bo69bo69bo37b2o30bo37b2o30bo69bo$42b2o66b2ob3o66b2o63b2o68b2o68b ...

x = 827, y = 889, rule = B3/S23
456bo95bobo$454bobo95b2o$455b2o3bobo6bo83bo$461b2o4bobo$461bo6b2o6$
555bo$555bobo$555b2o26$149bobo$150b2o214bo$150bo215bobo3bobo$356bo9b2o
4b2o218bo$320bo36b2o14bo219bo$314bo4bo36b2o233b3o$315bo3b3o$223bo89b3o
$223bobo$115bo99b2o6b2o53b2o37b2o271bo ...

x = 644, y = 290, rule = B3/S23
123bobo$123b2o$66bo57bo$66bobo45bo$66b2o44bobo$103bo9b2o3bo$62bo41b2o
11bo$60b2o41b2o12b3o$61b2o3$45bo110bobo$46bo110b2o$44b3o69bo40bo$115bo
bo48b2ob2o32b2ob2o$114bobo2bo47bobo2bo30b2obo2bo$47b2o64bo2bob2o40b3o
3bo2bob2o33bob2o$48b2o63b4obo43bo3b4obo31b4obo ...

These are currently the only stable catalysts that are apart of an oscillator. If one is to finish one of these, an oscillator is more than likely synthesizable.
x = 115, y = 88, rule = B3/S23
8b2o16b2o3b2obo25b2o16bo27b2o2b2o$9bo16bo2bo2bob3o23b2o15bobobo2bo21b
2o3bo ...

HartmutHolzwart wrote: August 27th, 2026, 4:42 pm … at least one could try to find parents with WLS or JLS or LSS? If ther are none except the pattern itself, we‘re done.

Or you could do the other way around and have the search program build one that has all the properties all other unsynthesizable objects have.

What's the smallest possible patch for each agar for them to be self-forcing?
Example stabilizations done by hand:
x = 25, y = 15, rule = LifeHistory
8.2A$8.A2.2A.2A$5.2A.A3.A.A2.A$5.A.A.3A3.3A2.A$2.2A.A3.A2.3A3.3A2.A$
2.A.A.3A3.A2.3A3.3A$A.A3.A2.3A3.A2.3A$2A.3A3.A2.3A3.A2.3A$3.A2.3A3.A
2.3A3.A2 ...

x = 545, y = 7022, rule = B3/S23
230b2o278b2o$224bob2obobo272bob2obobo$224b2obobo274b2obobo$228b2o278b
2o3$20b2o68b2o68b2o68b2o68b2o68b2o68b2o68b2o$20b2o68b2o68b2o68b2o68b2o
68b2o68b2o68b2o6$18b2o68b2o68b2o68b2o68b2o68b2o68b2o68b2o$19b2o68b2o68b
2o68b2o68b2o68b2o68b2o68b2o ...

x = 31, y = 31, rule = B3/S23
oboboooooooooobobobbobbbobboooo$
bbboobobbboboobobooooooooobbbbo$
obobbboobobbobobbbobobboobboobo$
bobooobbbbobbbbbbbbbboobboooobo$
oobooooboboooobboobbobbbbboobbb$
obboooobooooooooboobbbobbobobob$
oooboobbobbbbbooobobobbobbbbooo$
obobbbboooobobooboooboooobbboob ...

177 cell self-forcing patch:
x = 14, y = 14, rule = LifeHistory
5.2CD2CD2C$5.2DC2DC2DC$.DC.2DC2DC2DCD$DCD2CDCD2CD2CD$DC2DC2DC2DC2DC$2D
C2DCDC2DC2DC$2CD2CDCD2CD2CD$C2DC2DC2DC2DCD$DC2DC2DC2DC2DC$D2CD2CD2CDC
D2C$C2DC2DC2DCDC2D$2DC2DC2DC2DC2D$CD2CD2CD2C2D2C$4.C2DC2D2C!

132 cell unsynthesizable still ...

x = 24, y = 20, rule = B3/S23
6b2o$6bobobo4b2o$8b2obo2bo2bo$7bo3bo2bo2bo$6bobob2ob2ob2ob2o$5bo2b2o2b
o2bo2bobo$5bobo3bo2bo2bo3b2o$3b2obob2obob2ob2ob2o2bo$3bo2bo2bo2bo2bo2b
o3bo$4bo2bo2bobo2bo2bob2o$2o3b2ob2obob2ob2obobobo$o2bobo2bo2bo2bo2bo4b
2o$b3o2bo2bo2bo2bo2bo$4bob2ob2ob2obob2o$b3obo2bo2bo2bobo ...

Are any of these infinite patches also self forcing? I assume they are all self forcing if my conjecture is true. These are all transformations of known patches, with a few exceptions.
EDIT:
All of these are self forcing. I did a quick check.
x = 18, y = 18, rule = B3/S23:T18,18
obo3b2obobo3b2o ...

Period 162 pi shuttle:
x = 43, y = 56, rule = B3/S23
b2o7b2o$bobo6bo$3bo4bobo$3b2o3b2o$b2o14b2o$o2b4o10bo$2obo3bo7bobo$3bo
b2o4bo3b2o$4obo4bobo$o4bo3bo2bo$2bobo5b2o$b2ob2o2$13b2o$12bo2bo$13b2o
4$6b2o$5bobo$5bo$2b2ob2o29bo$2b2obo30b3o$5bo33bo$5b2o27b3o2bo$34bo2bo
b2o$5b2o30bo$5bo19bobo8b2o ...

Current standard name:
PB81P
Name under my proposed naming system:
I(xm_e2e, D2_+1)O(xm_e2e, D2_+1)C(+72)R6X5Y-10T81
x = 32, y = 34, rule = LifeHistory
.2A7.2A$.A.A6.A$3.A3.BA.A$3.2AB.B2A$.2A2.3B9.2A$A2.4AB9.A$2A.A.2BA.3B
2.BA.A$3.A.2A4BAB.B2A$4A.A.3BABA2B$A4.A3BA2BAB$2.A.A2.3B2A.2B$.2A.2A2.
B.6B ...

I also have decided to include the symmetry type for each object, that being the Catagolue standard symmetry naming, this also includes new names for glide symmetric spaceships. This makes orientations more specific. The origin of an object is now measured from its origin (bottom left corner) in ...

x = 1100, y = 5629, rule = B3/S23
931b2o$866bo64bobo$865bobo66bo2b2o$865bobo61b4obo3bo$864b2ob3o58bo2bo
bob3o$870bo57b2o3bobo$864b2ob3o63bobob3o$864b2obo66b2obo2bo$939b2o3$103b
o$102bobo467b2o68b2o68b2o68b2o68b2o68b2o68b2o68b2o$102bobo134b2o68b2o ...

Pi-to-G:
x = 32, y = 25, rule = LifeHistory
8.2A$9.A5.2B$9.A.AB.5B12.A$10.2AB.6B9.3A$12.9B7.A$12.10B6.2A$13.11B.B
.3B$9.2B.16B$7.22B$7.23B$2A4.2A21B.A$A2.B.B2A7B3C11BA.A$.3A11BCBC9B.2B
AB$3.AB6.4BCBC9B2.2B$.2A8.4B.10B2.2B$.A9.3B4.8B.B2AB$2.A15.7B3.2A$.2A
16.5B$19.4B$18.4B$17.4B$16.4B$15.4B$14.4B$13 ...

x = 27, y = 26, rule = B3/S23
2b2o19b2o$2b2o15b2o2bo$19bobobo$21bobob2o$20b2obob2o$9b3o9bobo$9bobo7b
o3bo$9bobo7b4o$25bo$19b2ob4o$20bobo$20bo2bo$21b2o2$8bo$7bobo$b2o4bobo
4b2o$bo2bo3bo3bo2bo$2b3o7b3o2$7o3b7o$o6bobo6bo$bobob2o3b2obobo$2b2obo
5bob2o$7bobo$6b2ob2o!
x = 37, y = 10, rule = B3/S23 ...

Strange coincidence where the transparent block is in the same spot for three unrelated pi-to-x conduits:
x = 51, y = 33, rule = TripleB3S23
6.2A$6.A.A$4.A.A.A$3.A.A2.A.2A$2.A2.A.A.A2.A$2.2A.A.A3.A.A$5.A.2A3.A$
2.2A.A$A2.A.A41.D$2A2.A4.2A4.2A29.D.D$8.A2.A2.A2.A28.D.D$2A2.A4.2A4.2A
28.2D.2D$A2.A.A38 ...

x = 36, y = 151, rule = B3/S23
29b2o$29b2o2$15b3o$15bobo$15bobo2$23b2o$23b2o3$25b2o$24bo2bo2b2o$24bo
bo4bo2bo$25bo5bobobo$12b2o5b2o7b2obo2bo$13bo5b2o7bo2bo$10b3o12bo4bo$10b
o14b5o2$27bo$26bobo$27bo30$27b2o$27bobo$29bo2bo$28b2obobo$29bo2bo$27b
obo$26bobo$26b2o2$9b3o$9bobo$9bobo2$17b2o$17b2o3$19b2o ...

x = 1103, y = 5840, rule = B3/S23
870b2o$868bo2bo$656b2o2b2o3b2o197bob4obob2o$656bo3bobo2bo198b2o4bo2bob
o$657b3o2bo3bo200b2o4bobo204b2o$659bobob4o139b2o56b3ob2o2b2ob2o138bo
64bobo$660b2obo141bo2bo55bo5bo143bobo66bo2b2o$665b2o135b2o2bobo57b2obo
b6o137bobo61b4obo3bo ...