Small Spaceship Syntheses

[Timelord Missionary]

But neither one has occurred in any soup, so they aren’t natural despite seemingly being natural.

Oh I meant natural as in a natural progression of the knowledge we've learned, but it's funny that it could be interpreted differently.

[vilc]

Middleweight member of the family in 30G.

Code: Select all

x = 319, y = 65, rule = B3/S23
279bo$280bo$278b3o$285bo$286bo$284b3o3$294bo16bobo$292b2o17b2o$293b2o
17bo2$267bo$230bo37bo$230bobo33b3o48bo$230b2o83b2o$316b2o3$313bobo$
313b2o$264bo49bo$262bobo$263b2o$5bo219bo$3bobo219bobo68bo$4b2o219b2o
68bobo$15bo279bobo$13b2o123bo157bo$14b2o120bobo3bobo67b2o68b2o$137b2o
3b2o67bo2bo17bo48bo2bo9bo$92bo50bo67bo2bo16b2o48bo2bo8bobo$91bo120b2o
17bobo48b2o10bo$91b3o$226b3o$b2o3b3o6b3o54bob2o66bob2o2bob2o60bob2o2bo
b2o4bo55bob2o2bob2o$obo3bo8bo56b2obo3b3o60b2obo2b2obo60b2obo2b2obo5bo
54b2obo2b2obo$2bo4bo8bo5$86b2o$85b2o$87bo2$82b2o$83b2o$82bo2$310b2o5b
2o$309b2o5b2o$273b3o19b2o14bo6bo$275bo18b2o$274bo21bo17b2o$314bobo$
314bo2$298b2o$297b2o15b2o$299bo13b2o$315bo$305b2o$305bobo$305bo!

Continuous recipe :

Code: Select all

x = 102, y = 110, rule = B3/S23
17bo$15bobo$16b2o$23bo$21bobo$22b2o2$95bo$75bobo15b2o$75b2o17b2o$76bo
2$5bo$3bobo$4b2o92bobo$98b2o$80bo18bo$78b2o$79b2o16bo$95b2o$bo94b2o$2b
o$3o5$75bo$73b2o$74b2o4$21bo$19bobo37bobo$20b2o37b2o$60bo2$37bo$38bo$
36b3o2$61bobo$61b2o$62bo8bo$71bobo$71b2o18$54b2o7b2o$33b3o18bobo6bobo$
35bo18bo8bo$34bo4$80b2o$80bobo$66bo13bo$65b2o9bo$65bobo7b2o$75bobo$43b
o$43b2o$42bobo15$93bo6bo$92b2o5b2o$11b2o65bo13bobo4bobo$10bobo64b2o$
12bo64bobo$96b3o$96bo$97bo$81bo$80b2o15bo$80bobo13b2o$96bobo2$87b3o$
87bo$88bo!

It features a new edgy MWSS synthesis (the glider coming from the west can be easily replaced by something with more clearance on the south) :

Code: Select all

x = 18, y = 21, rule = LifeHistory
15.A$15.A.A$15.2A2$4.A$5.2A$4.2A7$A.A9.2A$.2A8.A2.A$.A9.A2.A$12.2A3$
12.A.2A$12.2A.A!

Edit :
While trying to solve the remaining variant of MWSS pulling 23P4H2V0, I found reductions to the rest of the family (now down to 41G, 43G and 43G from 60G, 75G and 72G). I modified the final step to provide more adjustability on the pulling spaceship's side, which reduced the size of the base still-life and allowed to get rid of the expensive "moving components".

Code: Select all

x = 1038, y = 249, rule = B3/S23
710bo$710bobo$710b2o281bobo$994b2o$994bo$510bo291bo99bo99bo$509bo92bo
198bobo97bobo97bobo$298bo210b3o88bobo197bo2bo96bo2bo96bo2bo$291bo7bo
100bo3bobo99bo94b2o198b2o98b2o98b2o$292b2o3b3o101bo2b2o101bo$205bo85b
2o106b3o3bo99b3o99b2o$205bobo398bo2bo380bo$89bo115b2o4bobo393b2o382bo$
90bo120b2o83bo113bo284b3o291b3o21bo$77b3o8b3o121bo83b2o5b2o96b2o6b2o
90b2o98b2o94bo3b2o3bo94b2o3bo94b2o3bo94b2o3bo6bobo$79bo127b2o86bobo5bo
97b2o6bobo89b2o2b2o94b2o2b2o89bo4b2o2bobo93b2o2bobo93b2o2bobo93b2o2bob
o5b2o$78bo14bo112b2o97bo99bo100bo99bo99bo99bo99bo99bo$91b2o108b2o5bo
92b5o95b5o95b5o95b5o95b5o95b5o95b5o95b5o$92b2o107bo99bo99bo99bo99bo99b
o99bo99bo89bo9bo$203bo99bo99bo99bo99bo99bo99bo99bo85bobo11bo$202b2o98b
2o98b2o98b2o98b2o98b2o98b2o98b2o86b2o10b2o11b2o$200bo3b2o94bo3b2o94bo
3b2o94bo3b2o94bo3b2o94bo3b2o94bo3b2o94bo3b2o94bo3b2o8b2o6bobo$200b3o3b
o93b3o3bo93b3o3bo93b3o3bo93b3o3bo93b3o3bo93b3o3bo93b3o3bo93b3o3bo9bo5b
2o$90b2o111b3o97b3o97b3o97b3o97b3o97b3o97b3o97b3o79bo17b3o17bo$89bobo
11b2o97bo99bo99bo99bo99bo99bo99bo99bo82b2o15bo$7bo83bo11b2o97b2o98b2o
98b2o98b2o98b2o98b2o98b2o98b2o80bobo15b2o$6b2o1019bo$b2o3bobo890b2o98b
2o4b2o19b2o$obo100bo795b2o79b2o17b2o4b2o11bo7bobo$2bo99bobo692b2o108b
2o72b2o34b2o$72bo29bobo691bobo108bobo70bo9b2o25bobo$66b3o3b2o29bo694bo
108bo83b2o$68bo2bobo729b2o96b2o87bo$2b3o62bo735bobo94bobo112b2o$4bo
798bo98bo111b2o$3bo1012bo$992b2o3b2o$991bobo2bobo$993bo4bo48$989bo$
990bo$988b3o7$902bo99bo$901bobo80bo16bobo$900bo2bo81b2o13bo2bo$901b2o
81b2o15b2o26bo$1029bobo$1029b2o3$984bobo$901b2o3bo78b2o14b2o3bo16bo$
901b2o2bobo77bo15b2o2bobo15bobo$906bo99bo16b2o$901b5o95b5o$901bo99bo$
903bo99bo$902b2o98b2o17b2o$900bo3b2o94bo3b2o14b2o$900b3o3bo93b3o3bo15b
o$903b3o97b3o$902bo99bo$902b2o98b2o$1006bo$899b2o98b2o4bobo$899b2o98b
2o5b2o$979b3o$981bo$980bo$901b3o123b3o$903bo2b2o67b2o50bo$902bo4b2o65b
obo51bo$906bo4b2o63bo8b2o$911bobo70bobo49b2o$911bo74bo48b2o$1021b2o14b
o$1021bobo$1021bo$987bo5bo$987b2o4b2o$914bo71bobo3bobo$913b2o$913bobo
60$988bo$989bo$987b3o7$901bo99bo$900bobo80bo16bobo$899bo2bo81b2o13bo2b
o$900b2o81b2o15b2o26bo$1028bobo$1028b2o3$983bobo$900b2o3bo78b2o14b2o3b
o16bo$900b2o2bobo77bo15b2o2bobo15bobo$905bo99bo16b2o$900b5o95b5o$900bo
99bo$902bo99bo$901b2o98b2o17b2o$899bo3b2o94bo3b2o14b2o$899b3o3bo93b3o
3bo15bo$902b3o97b3o$901bo99bo$901b2o98b2o$1005b2o$898b2o98b2o4bo2bo$
898b2o98b2o4bo2bo$903b2o73b3o24b2o$902bobo7b2o66bo$904bo6b2o66bo$913bo
112b3o$1026bo$1027bo$978b2o4b2o$979b2o2bobo49b2o$978bo6bo48b2o$1021b2o
13bo$1021bobo$1021bo$984b3o3b2o$986bo4b2o$985bo4bo24b3o$1015bo$1016bo
2$991b3o$993bo$992bo!

Edit 2:
Another 2G reduction to each of them :

Code: Select all

x = 335, y = 249, rule = B3/S23
15bo$15bobo$15b2o281bobo$299b2o$299bo$107bo99bo99bo$106bobo97bobo97bob
o11bo5bo$105bo2bo96bo2bo96bo2bo9b2o5bo$106b2o98b2o98b2o11b2o4b3o3$295b
o$296bo25bo$3o291b3o23b2o6bo$2bo3b2o98b2o98b2o98b2o13b2o3b2o$bo4b2o2b
2o94b2o2b2o94b2o2b2o94b2o2b2o15b2o$11bo99bo99bo99bo$6b5o95b5o95b5o95b
5o$6bo99bo99bo89bo9bo$8bo99bo99bo85bobo11bo$7b2o98b2o98b2o86b2o10b2o$
5bo3b2o94bo3b2o94bo3b2o94bo3b2o9b2o$5b3o3bo93b3o3bo93b3o3bo93b3o3bo7b
2o5b2o$8b3o97b3o97b3o79bo17b3o10bo3b2o$7bo99bo99bo82b2o15bo19bo$7b2o
98b2o98b2o80bobo15b2o2$204b2o98b2o4b2o$204b2o79b2o17b2o4b2o$102b2o108b
2o72b2o$101bobo108bobo70bo9b2o$103bo108bo83b2o$108b2o96b2o87bo$108bobo
94bobo112b2o$108bo98bo111b2o$321bo$297b2o3b2o$296bobo2bobo$298bo4bo48$
294bo$295bo$293b3o3$324bo7bo$324bobo3b2o$324b2o5b2o2$207bo99bo$206bobo
80bo16bobo$205bo2bo81b2o13bo2bo17bo$206b2o81b2o15b2o18bobo3bo$326b2o4b
obo$332b2o3$289bobo$206b2o82b2o14b2o$206b2o2b2o78bo15b2o2b2o$211bo99bo
$206b5o95b5o$206bo99bo$208bo99bo$207b2o98b2o$205bo3b2o94bo3b2o$205b3o
3bo93b3o3bo$208b3o97b3o$207bo99bo$207b2o98b2o$311bo13b2o$204b2o98b2o4b
obo12bobo3b2o$204b2o98b2o5b2o12bo5bobo$284b3o44bo$286bo$285bo$206b3o$
208bo2b2o67b2o$207bo4b2o65bobo$211bo4b2o63bo8b2o$216bobo70bobo$216bo
74bo$326b2o$326bobo$326bo$292bo5bo$292b2o4b2o$219bo71bobo3bobo$218b2o$
218bobo60$293bo$294bo$292b3o3$323bo7bo$323bobo3b2o$323b2o5b2o2$206bo
99bo$205bobo80bo16bobo$204bo2bo81b2o13bo2bo17bo$205b2o81b2o15b2o18bobo
3bo$325b2o4bobo$331b2o3$288bobo$205b2o82b2o14b2o$205b2o2b2o78bo15b2o2b
2o$210bo99bo$205b5o95b5o$205bo99bo$207bo99bo$206b2o98b2o$204bo3b2o94bo
3b2o$204b3o3bo93b3o3bo$207b3o97b3o$206bo99bo$206b2o98b2o$310b2o12b2o$
203b2o98b2o4bo2bo11bobo3b2o$203b2o98b2o4bo2bo11bo5bobo$208b2o73b3o24b
2o18bo$207bobo7b2o66bo$209bo6b2o66bo$218bo3$283b2o4b2o$284b2o2bobo$
283bo6bo$326b2o$326bobo$326bo$289b3o3b2o$291bo4b2o$290bo4bo24b3o$320bo
$321bo2$296b3o$298bo$297bo!

Edit 3:
A 5G improvement.

Code: Select all

x = 332, y = 249, rule = B3/S23
15bo$15bobo$15b2o281bobo$299b2o$299bo$107bo99bo99bo$106bobo97bobo97bob
o12bo$105bo2bo96bo2bo96bo2bo12bobo$106b2o98b2o98b2o13b2o2$324bobo$295b
o28b2o$296bo28bo$3o291b3o$2bo3b2o98b2o98b2o98b2o$bo4b2o98b2o98b2o98b2o
$10bo99bo99bo99bo$6b5o95b5o95b5o95b5o$6bo99bo99bo89bo9bo$8bo99bo99bo
85bobo11bo10b2o$7b2o98b2o98b2o86b2o10b2o9b2o$5bo3b2o94bo3b2o94bo3b2o
94bo3b2o9bo$5b3o3bo93b3o3bo93b3o3bo93b3o3bo$8b3o97b3o97b3o79bo17b3o$7b
o99bo99bo82b2o15bo11b2o$7b2o98b2o98b2o80bobo15b2o9b2o$320bo$204b2o98b
2o4b2o$204b2o79b2o17b2o4b2o$102b2o108b2o72b2o$101bobo108bobo70bo9b2o$
103bo108bo83b2o$108b2o96b2o87bo$108bobo94bobo112b2o$108bo98bo111b2o$
321bo$297b2o3b2o$296bobo2bobo$298bo4bo48$294bo$295bo$293b3o3$326bobo$
326b2o$327bo$330bo$207bo99bo21bo$206bobo80bo16bobo20b3o$205bo2bo81b2o
13bo2bo$206b2o81b2o15b2o5$289bobo$206b2o82b2o14b2o$206b2o82bo15b2o$
210bo99bo$206b5o95b5o$206bo99bo$208bo99bo$207b2o98b2o$205bo3b2o94bo3b
2o$205b3o3bo93b3o3bo$208b3o97b3o$207bo99bo16b2o$207b2o98b2o15bobo$311b
o12bo$204b2o98b2o4bobo$204b2o98b2o5b2o$284b3o37b2o$286bo37bobo$285bo
38bo$206b3o$208bo2b2o67b2o$207bo4b2o65bobo$211bo4b2o63bo8b2o$216bobo
70bobo$216bo74bo$326b2o$326bobo$326bo$292bo5bo$292b2o4b2o$219bo71bobo
3bobo$218b2o$218bobo60$293bo$294bo$292b3o3$325bobo$325b2o$326bo$329bo$
206bo99bo21bo$205bobo80bo16bobo20b3o$204bo2bo81b2o13bo2bo$205b2o81b2o
15b2o5$288bobo$205b2o82b2o14b2o$205b2o82bo15b2o$209bo99bo$205b5o95b5o$
205bo99bo$207bo99bo$206b2o98b2o$204bo3b2o94bo3b2o$204b3o3bo93b3o3bo$
207b3o97b3o$206bo99bo16b2o$206b2o98b2o15bobo$310b2o11bo$203b2o98b2o4bo
2bo$203b2o98b2o4bo2bo$208b2o73b3o24b2o11b2o$207bobo7b2o66bo37bobo$209b
o6b2o66bo38bo$218bo3$283b2o4b2o$284b2o2bobo$283bo6bo$326b2o$326bobo$
326bo$289b3o3b2o$291bo4b2o$290bo4bo24b3o$320bo$321bo2$296b3o$298bo$
297bo!

[HartmutHolzwart]

34P5H2V0 and 35P4H1V1 would be good candidates for the next synthesis.

[KtT]

77P6H1V1 in 221G, down from 222G:

Code: Select all

x = 141, y = 35, rule = B3/S23
11bobo$12b2o$12bo2$86bo$84b2o$85b2o$81bo$79b2o$80b2o$54b2o71b2o$54b2o
71b2o2$62bo$62bo71b2ob2o$62bo71b2obobo$138bobo$139b2o$7b2o9bo39bo72bo
$8b2o8b3o37b3o70b3o5b2o$7bo13bo39bo72bo4b2o$18b3obo35b3obo68b3obo$17b
o2bobo34bo2bobo54b2o11bo2bobo$18bobob2o34bobob2o54b2o11bobob2o$2o17bo
39bo57bo14bo$b2o$o2$81b2o$80b2o$82bo2$85bo$84b2o$84bobo!

[TigerCub414]

... trying out glider synthesis for the first time...

This seems like a really interesting find for a first round of work with LLS. How complicated were your LLS searches?

I'd be interested to see what your LLS inputs looked like -- how many ticks backward did you have to search? did you search for predecessors of the non-MWSS side of the spaceship that were compatible with the boat-plus-2G creation of the MWSS? or that had a stable center, to help suggest that bait still life? That kind of thing.

I know the explanation is several months late, but here it is:

I actually found most of the synthesis by hand, in a similar way to how Extrementhusiast found the 25P3H1V0.2 synthesis.

Code: Select all

x = 578, y = 321, rule = LifeHistory
61.2E$61.E.E$2.E45.2E13.E2.E$.E.E44.E.E11.2E.E.E28.A2.A$.E2.E45.E2.E
11.E2.E29.A.A$2.2E36.E8.2E.E.E10.3E29.A2.A$39.E.E10.E2.E41.A.A$4.E34.
E2.E9.3E10.3E30.A112.5A$3E15.E20.3E22.E2.E143.A4.A$17.E.E32.3E9.2E
145.A$3E14.E2.E18.2E10.E15.2E143.A3.A$15.E.3E19.4E12.2E10.E.E144.A64.
2A$14.E.E23.2E10.3E12.E5.A10.A132.3A15.E43.2A3.A$14.E2.E55.A.A8.A.A
128.2A.2A16.E45.2A$15.2E56.2A9.2A128.A4.A14.3E46.2A2D$213.2A.A.A66.3D
$73.A11.A126.2A2.A.A18.2E46.3D$72.A.A9.A.A126.2A22.E.E40.2A2.D.2C$58.
A14.A11.A130.2A21.E40.2A2.2DCA$33.2A22.A.A179.2E44.D$32.2A.3A20.A$33.
5A20.2A$7.E26.3A21.2A$6.E.E5.E25.A16.2A$6.E2.E3.E24.E2.A17.A$7.2E.E2.
3E21.E.E15.A143.D$9.E.E24.AE2.E12.2A.2A139.A.AD$9.E2.E21.2A.A2E.E10.A
2.A141.2A$10.2E22.A4.E10.A.A45.A96.2A.A.A$34.A3.E2.E54.A.A95.A.A$35.A
16.C44.2A95.A15.E$37.2A13.3A139.5A10.E.E13.2E$51.3A45.2A108.2E13.E.E$
55.A43.2A106.2E15.E$206.E.E13.2E.E$74.A.A129.E14.E.E.E16.E$73.A2.A
127.E.5E10.E3.E.2E12.E.E$70.A.A.A.A126.E.E4.E8.E.5E.2E4.E7.2E$70.A.A
130.E.E2.E9.E.E10.E.E5.2E$19.A30.A19.A.A131.E3.2E8.E.E2.E8.2E4.E.E
121.2A$17.A2.A28.A.A167.E3.3E12.E60.D61.A2.A$16.A.A31.A20.2A153.E7.2E
3.4E54.D3.D60.2A2.2A$16.A2.A52.A152.2E7.E.E6.E52.DA68.A.A$17.2A31.2A
21.A162.E4.E.E31.A.A18.DA3.CA57.A5.A$50.A.A183.2E3.2E32.2A19.DC3D2A
56.3A$50.A221.A3.A29.2A50.5A$47.A197.2E24.A.A20.A10.2A$46.A.A189.2E4.
2E26.2A19.A.A6.2A3.A$47.2A190.2E5.E19.2D25.A.A6.2A$74.A.A161.E26.2D.
3D23.A$76.A189.5D7.A$71.A.2A.A190.3D3.A3.A.A$71.A186.A.A11.A.A3.A$69.
A189.2A10.A.A$38.A220.A11.2A4.A91.2A$37.A.A31.3A195.2A4.A2.A89.A2.A$
37.A2.A227.A.A4.A2.A90.2A2.3A$35.A.3A228.A7.A96.2A$34.A.A11.A.A213.2A
3.4A94.A7.A$34.A2.A11.2A213.A.A6.A92.3A$35.2A12.A216.A4.A.A91.5A$266.
2A3.2A$35.A13.2A$35.2A11.A2.A312.2A$34.A.A12.2A313.2A2$277.3A$68.E29.
E166.3A9.A$67.E.E27.E.E167.A10.A$67.E2.E25.2E2.E165.A$68.2E27.3E$99.E
$67.A30.E$67.2A$19.A10.A66.2E$18.A.A8.A.A$18.A2.A7.A2.A$19.2A8.3A$17.
A13.A$21.A8.A$18.2A$274.A$275.A$273.3A5$273.A8.A$271.A.A9.A10.A.A$
272.2A7.3A10.2A$295.A$284.3A$216.3A$215.5A$214.2A.3A60.A7.2A$215.2A
62.A.A5.A.A3.B$278.A.CD6.A3.2B$221.2A56.CD.3D6.3B$219.3A.A56.5D6.3B$
219.2A3.A44.3A9.3D9.B$217.2E.A2.A47.A14.A5.2B26.2A2.A$216.E.E3.2A46.A
14.A.A3.3B25.A.4A$216.E68.2A4.3B25.A$216.5E62.2A7.2B21.2A3.3A$282.A.A
3.3A.2B21.2A5.A$282.A6.5B$278.2A3.4A3.4B21.A9.2A$278.2A.D5.A3.3B21.2A
7.2A$285.A.A4.2B20.A.A9.3A$285.2A6.B32.2A2$311.3A$313.A$274.2A36.A$
275.2A15.2A$274.A4.2A11.A.A$278.A.A11.A$271.2A7.A$270.A.A$272.A19$
337.A.A$338.2A$275.A.A60.A$276.2A$276.A$439.C$439.C.C$439.2C$343.A74.
A14.C$336.A4.A.A73.A16.2C.2C$281.A55.2A3.2A73.3A13.2C2.C.C$274.A4.A.A
54.2A100.C$275.2A3.2A62.A61.A.A$274.2A67.A63.2A$282.A49.A10.3A61.A$
281.A51.A5.A70.2D.2A6.BA2B$270.A10.3A47.3A4.A.A6.B61.2D.DCDA4.CA2B$
271.A5.A56.2D.A.A6.2B62.4DC4.DB2A2B$269.3A4.A.A54.2D.D2C6.3B63.3D5.2D
B.B2A$272.2D.A.A56.5D6.3B68.A2.BD.2BABA$271.2D.D2C58.3D9.B67.A.A3.3BA
2B$272.5D63.A5.2B67.2A4.3B$273.3D63.A.A3.3B65.2A7.2B63.A$339.2A4.3B
64.A.A3.3A.2B62.A.A$337.2A7.2B64.A7.4B62.2A$336.A.A3.3A.2B60.2A3.4A3.
4B26.A2B31.2A$336.A6.5B60.2A.D5.A3.3B21.BD2.BABA30.A.A$332.2A3.4A3.4B
67.A.A4.2B21.2DB.B2A31.A$332.2A.D5.A3.3B67.2A6.B21.DB2A2B33.4A$339.A.
A4.2B98.CA2B38.A$339.2A6.B58.2A39.BA2B35.A.A$407.2A11.2A63.A.A$406.A
4.2A7.A.A63.A2.3A$410.A.A7.A68.A$328.2A73.2A7.A77.A$329.2A15.2A54.A.A
$328.A4.2A11.A.A55.A42.BA$332.A.A11.A97.DB2AB$222.A6.2A94.2A7.A109.3B
2A$223.2A3.C.A93.A.A117.2B.2B$222.2A4.C97.A118.BA2B$229.4A211.B2AB$
233.A210.BABAB$224.2A5.A.A$223.A.A5.2A$218.3A4.A$220.A$219.A7$417.2A$
417.2A.D4$264.A3.2A145.2A$264.A2.A.A146.2A$264.A2.A147.A$265.A2.4A$
264.A7.A139.2A$270.A.A138.A.A$270.2A141.A34$373.A119.A$372.A121.A$
372.3A117.3A$526.A$361.A.A160.2A$362.2A161.2A$362.A$368.2A7.A$368.A.A
4.2A55.A$369.A6.2A54.A.A$379.2A51.2A$371.A7.A.A$370.A.A6.A32.A4.A$
370.2A38.A.A2.A.A4.A$368.2A41.2A3.2A3.2A74.A$367.A.A3.3A45.A.A74.A$
367.A128.3A$363.2A3.4A205.A$363.2A7.A42.2A158.2A$370.A.A41.A.A153.A.A
3.2A$370.2A44.A154.2A$571.A$361.2A$362.2A11.2A$361.A4.2A7.A.A194.A$
365.A.A7.A195.A.A$239.A118.2A7.A146.A55.A.A$240.A116.A.A153.A56.A$
238.3A118.A153.3A55.4A$575.A$509.A.A61.A.A$510.2A60.A.A$510.A62.A$
238.A8.A$236.A.A9.A10.A.A$237.2A7.3A10.2A127.A$260.A128.A$249.3A135.
3A3.A125.3A$394.A124.A$392.3A125.A$245.A7.2A144.2D$244.A.A5.A.A144.D.
D$243.A.CD6.A139.3A4.D$244.CD.3D145.A$245.5D144.A$234.3A9.3D$236.A$
235.A9$345.A$344.A$344.3A2$333.A.A$334.2A$334.A$340.2A7.A$340.A.A4.2A
$341.A6.2A$351.2A$343.A7.A.A$342.A.A6.A$342.2A$333.A6.2A$334.2A3.A.A
3.3A$333.2A4.A$340.4A$344.A$245.2A88.2A5.A.A$244.A.A87.A.A5.2A$244.A
84.3A4.A$245.4A82.A$249.A80.A16.2A$247.A.A88.2A7.A.A$247.2A88.A.A7.A$
339.A!

First, I tried to make the spaceship from a loaf or TL predecessor, but the predecessors were too complex.
Then, I found that the spaceship has a Big S-like shape in one of the phases. The front and bottom of the spaceship were easy enough to convert with just gliders, but the backend was harder to make. I used LLS to find ways to perturb a Big S tie boat in the correct way while restricting the population. The predecessors given by LLS all looked unsynthesizable, but at a specific population, there was a predecessor made up of just a blinker and a spark, plus the still life. I added the compatible MWSS predecessor and assembled the final synthesis.
Unfortunately, I no longer have the original LLS inputs, but they searched about 5-6 ticks back.

[KtT]

72P4H1V0 in 193G, down from 194G:

Code: Select all

x = 114, y = 157, rule = B3/S23
20bobo$21b2o$21bo3$92bo$92bobo$92b2o6$84bo8bo8bo$83bo8bo8bo$83b3o6b3o
6b3o2$2bo$3b2o$2b2o2$111bo$110bo$110b3o3$108bo$10bo96bo$11bo95b3o$9b3o
91bo$103bobo$103b2o2$obo94bobo$b2o94b2o$bo96bo5$102bo$101bo5bobo$101b
3o3b2o$108bo6$46b2o7b2o7b2o$45bo2bo5bo2bo5bo2bo$45bo2bo5bo2bo5bo2bo$46b
2o7b2o7b2o2$42b2o7b2o7b2o7b2o$42bobo5bo2bo5bo2bo5bobo$43bo7b2o7b2o7bo
6$56b2o$55bo2bo$55bobo3b2o$56bo3bobo$60b2o$53bo$53bo$53bo$48b2o7b2o$49b
o3bo3bobo3bo$48bo3bobo4bo2bobo$40b2ob2o3b5obo3bo3b2o$40b2ob2o8bo5b3o$
48b4o4b3o2bo$48bo2b2o2bo4bo$56b4o2$56b4o$48bo2b2o2bo4bo$48b4o4b3o2bo$
40b2ob2o8bo5b3o$40b2ob2o3b5obo3bo3b2o$48bo3bobo4bo2bobo$49bo3bo3bobo3b
o$48b2o7b2o$53bo$53bo$53bo$60b2o$56bo3bobo$55bobo3b2o$55bo2bo$56b2o6$
43bo7b2o7b2o7bo$42bobo5bo2bo5bo2bo5bobo$42b2o7b2o7b2o7b2o2$46b2o7b2o7b
2o$45bo2bo5bo2bo5bo2bo$45bo2bo5bo2bo5bo2bo$46b2o7b2o7b2o9$105b2o$104b
2o$106bo2$112bo$bo96bo12b2o$b2o94b2o12bobo$obo94bobo2$103b2o$103bobo$
9b3o91bo$11bo95b3o$10bo96bo$108bo3$110b3o$110bo$111bo2$2b2o$3b2o$2bo2$
83b3o6b3o6b3o$83bo8bo8bo$84bo8bo8bo6$92b2o$92bobo$92bo3$21bo$21b2o$20b
obo!

[Goldtiger997]

Here's a solution for the remaining variant of MWSS pulling 23P4H2V0:

Code: Select all

x = 38, y = 43, rule = B3/S23
11bo$12bo$10b3o2$3bo29bobo$4bo28b2o$2b3o29bo4$4bobo$5b2o$5bo$21b2o$20b
obo$21bo8bobo$16b2o12b2o$16bobo12bo$17bo$bo16b3o$b2o12b3o3bo8bobo$obo
12bo3b2o9b2o$17b2o12bo$18bo$16bo$16b5o$20bo$16b2o$16b2o4$36b2o$35b2o$
16b2o19bo$15bo2bo$16bobo13b3o$17bo14bo$33bo2$7b2o$8b2o$7bo!

The other XWSS pulling 23P4H2V0 syntheses can also be reduced using this new method:

Code: Select all

x = 182, y = 71, rule = B3/S23
181bo$179b2o$180b2o5$132bo$133bo$131b3o$122bo$123bo44bo$121b3o43bo$
167b3o3$123bobo$124b2o16bobo$73bo50bo18b2o$12bo61bo68bo$10bobo59b3o$3b
o7b2o50bo107bobo$4bo29bobo27bo30bobo73b2o$2b3o29b2o26b3o30b2o75bo$35bo
60bo2$171bobo$4bobo57bobo104b2o$5b2o58b2o105bo$5bo59bo$166b3o$22b2o59b
2o81bo$22b2o6bobo49bobo5bobo74bo$16b2o12b2o44b2o5bo6b2o54b2o$16bobo12b
o44bobo12bo54bobo$17bo59bo69bo$bo16b3o40bo16b3o67b3o$b2o12b3o3bo8bobo
28b2o12b3o3bo8bobo52b3o3bo$obo12bo3b2o9b2o28bobo12bo3b2o9b2o53bo3b2o$
17b2o12bo45b2o12bo55b2o$18bo59bo69bo$16bo59bo69bo$16b5o55b5o65b5o$20bo
59bo69bo$16b2o58b2o68b2o$16b2o58b2o68b2o2$120bo$120b2o$36b2o58b2o21bob
o$35b2o58b2o$16b2o19bo38b2o19bo48b2o$15bo2bo56bo2bo66bo2bo$16bobo13b3o
41bobo13b3o51bobo$17bo14bo44bo14bo54bo$33bo59bo2$7b2o58b2o$8b2o58b2o$
7bo59bo$177b2o$176b2o$178bo2$173b3o$173bo$174bo2$126b2o$127b2o$126bo!

[KtT]

Here's a solution for the remaining variant of MWSS pulling 23P4H2V0:

Code: Select all

x = 38, y = 43, rule = B3/S23
11bo$12bo$10b3o2$3bo29bobo$4bo28b2o$2b3o29bo4$4bobo$5b2o$5bo$21b2o$20b
obo$21bo8bobo$16b2o12b2o$16bobo12bo$17bo$bo16b3o$b2o12b3o3bo8bobo$obo
12bo3b2o9b2o$17b2o12bo$18bo$16bo$16b5o$20bo$16b2o$16b2o4$36b2o$35b2o$
16b2o19bo$15bo2bo$16bobo13b3o$17bo14bo$33bo2$7b2o$8b2o$7bo!

The other XWSS pulling 23P4H2V0 syntheses can also be reduced using this new method:

Code: Select all

x = 182, y = 71, rule = B3/S23
181bo$179b2o$180b2o5$132bo$133bo$131b3o$122bo$123bo44bo$121b3o43bo$
167b3o3$123bobo$124b2o16bobo$73bo50bo18b2o$12bo61bo68bo$10bobo59b3o$3b
o7b2o50bo107bobo$4bo29bobo27bo30bobo73b2o$2b3o29b2o26b3o30b2o75bo$35bo
60bo2$171bobo$4bobo57bobo104b2o$5b2o58b2o105bo$5bo59bo$166b3o$22b2o59b
2o81bo$22b2o6bobo49bobo5bobo74bo$16b2o12b2o44b2o5bo6b2o54b2o$16bobo12b
o44bobo12bo54bobo$17bo59bo69bo$bo16b3o40bo16b3o67b3o$b2o12b3o3bo8bobo
28b2o12b3o3bo8bobo52b3o3bo$obo12bo3b2o9b2o28bobo12bo3b2o9b2o53bo3b2o$
17b2o12bo45b2o12bo55b2o$18bo59bo69bo$16bo59bo69bo$16b5o55b5o65b5o$20bo
59bo69bo$16b2o58b2o68b2o$16b2o58b2o68b2o2$120bo$120b2o$36b2o58b2o21bob
o$35b2o58b2o$16b2o19bo38b2o19bo48b2o$15bo2bo56bo2bo66bo2bo$16bobo13b3o
41bobo13b3o51bobo$17bo14bo44bo14bo54bo$33bo59bo2$7b2o58b2o$8b2o58b2o$
7bo59bo$177b2o$176b2o$178bo2$173b3o$173bo$174bo2$126b2o$127b2o$126bo!

Completed in 33G:

Code: Select all

x = 415, y = 107, rule = B3/S23
324bo$325bo$323b3o2$316bo93bobo$317bo92b2o$315b3o93bo2$70bo32bobo$70b
obo31b2o$70b2o32bo212bobo$318b2o$4bo313bo$2bobo163bobo$3b2o163b2o$169b
o237bobo$407b2o$408bo3$407bobo$407b2o$408bo7$206bo$204bobo$205b2o14$246b
2o118b2o$245bobo117bobo$246bo119bo$126b2o113b2o118b2o$38b2o86bobo112b
obo117bobo$38bo88bo114bo119bo$39b3o86b3o112b3o117b3o$36b3o3bo82b3o3bo
108b3o3bo113b3o3bo$36bo3b2o83bo3b2o109bo3b2o114bo3b2o$38b2o87b2o113b2o
118b2o$39bo88bo114bo119bo$37bo88bo114bo119bo$37b5o84b5o110b5o115b5o$41b
o88bo114bo119bo$37b2o87b2o113b2o118b2o$37b2o87b2o113b2o118b2o6$361b2o
$360bo2bo$361bobo$362bo11$171b3o$2o169bo$b2o169bo$o313bo$314b2o$313bo
bo11$413b2o$412b2o$414bo2$409b3o$409bo$410bo$280b3o$280bo39b2o$281bo39b
2o$320bo!

[EvinZL]

The other XWSS pulling 23P4H2V0 syntheses can also be reduced using this new method:

Code: Select all

x = 182, y = 71, rule = B3/S23
181bo$179b2o$180b2o5$132bo$133bo$131b3o$122bo$123bo44bo$121b3o43bo$
167b3o3$123bobo$124b2o16bobo$73bo50bo18b2o$12bo61bo68bo$10bobo59b3o$3b
o7b2o50bo107bobo$4bo29bobo27bo30bobo73b2o$2b3o29b2o26b3o30b2o75bo$35bo
60bo2$171bobo$4bobo57bobo104b2o$5b2o58b2o105bo$5bo59bo$166b3o$22b2o59b
2o81bo$22b2o6bobo49bobo5bobo74bo$16b2o12b2o44b2o5bo6b2o54b2o$16bobo12b
o44bobo12bo54bobo$17bo59bo69bo$bo16b3o40bo16b3o67b3o$b2o12b3o3bo8bobo
28b2o12b3o3bo8bobo52b3o3bo$obo12bo3b2o9b2o28bobo12bo3b2o9b2o53bo3b2o$
17b2o12bo45b2o12bo55b2o$18bo59bo69bo$16bo59bo69bo$16b5o55b5o65b5o$20bo
59bo69bo$16b2o58b2o68b2o$16b2o58b2o68b2o2$120bo$120b2o$36b2o58b2o21bob
o$35b2o58b2o$16b2o19bo38b2o19bo48b2o$15bo2bo56bo2bo66bo2bo$16bobo13b3o
41bobo13b3o51bobo$17bo14bo44bo14bo54bo$33bo59bo2$7b2o58b2o$8b2o58b2o$
7bo59bo$177b2o$176b2o$178bo2$173b3o$173bo$174bo2$126b2o$127b2o$126bo!

Your synthesis for the HWSS variant appears to have an extra glider that just gets absorbed by a spark:

Code: Select all

x = 63, y = 71, rule = B3/S23
62bo$60b2o$61b2o8$3bo$4bo44bo$2b3o43bo$48b3o3$4bobo$5b2o16bobo$5bo18b
2o$24bo2$52bobo$52b2o$53bo3$52bobo$52b2o$53bo2$47b3o$47bo$48bo$27b2o$
27bobo$28bo$29b3o$26b3o3bo$26bo3b2o$28b2o$29bo$27bo$27b5o$31bo$27b2o$
27b2o2$bo$b2o$obo2$27b2o$26bo2bo$27bobo$28bo6$58b2o$57b2o$59bo2$54b3o
$54bo$55bo2$7b2o$8b2o$7bo!

-1G for all of them:

Code: Select all

x = 50, y = 51, rule = B3/S23
12bo$10bobo$3bo7b2o$4bo41bobo$2b3o41b2o$47bo3$4bobo$5b2o$5bo3$42bobo$
42b2o$43bo3$28b2o12bobo$28b2o12b2o$22b2o19bo$22bobo$23bo$24b3o$9bo11b
3o3bo$7bobo11bo3b2o$8b2o13b2o$24bo$22bo$bo20b5o$b2o23bo$obo19b2o$22b2o
10$48b2o$47b2o$49bo2$44b3o$44bo$36bo8bo$35b2o$35bobo!

[Entity Valkyrie 2]

(Post moved from Thread For Synthesisable Spaceship Guns, since it's not a gun yet — just a synthesis)

EDIT: "Finished". This makes a leaf bug + a load of junk. I think that the wings of LWSSes can be replaced by something better... (this one is in TripleB3S23)

Here is a complete synthesis for leaf bug. 2988 gliders, 644 LWSSes, and 2 HWSSes. (4926 gliders, if every XWSS is counted as 3 gliders)

[rabbit]

At least two gliders can be saved from the leafbug synthesis by advancing the HWSSes at the very bottom of the pattern by one generation and destroying the gliders that were added to destroy it, namely those at (32122, -55821) and (71423, -55811). The HWSS being one tick further makes it cleanly absorbed by the spaceship.

I have not tried any further optimization.

EDIT: EvinZL's synthesis is also reducible in the same way.

[Gustone]

not a gun yet — just a synthesis

I would have posted it here in the first place if this thread's title didn't contain the word "small"

[EvinZL]

Given the new meaning of "small", here is a reduction to the leaf bug synthesis

[Goldtiger997]

Final step for 34P5H2V0:

Code: Select all

x = 49, y = 48, rule = B3/S23
9bo$10b2o$9b2o$46bobo$46b2o$47bo$27bo$6bo21bo$7bo18b3o$obo2b3o30bo$b2o
35bobo$bo17b2ob2o14b2o$19bo3bo$20b3o3$20b3o$19bo3bo5b2o$19b2ob2o4bo2bo
$20bobo6bobo14bo$17b3o2bo7bo15bobo$16bo5bobob2o18b2o$15bobo5b2obo$16bo
9bo$26b2ob2o11b2o$27bobo12bobo$27bobo12bo$28bo$3b3o$5bo$4bo37b2o$12bo
29bobo$12b2o28bo$6b3o2bobo$8bo9bo10bo$7bo10b2o8b2o$17bobo8bobo9b3o$40b
o$41bo2$30b3o$30bo$31bo3$30b3o$30bo$31bo!

The left half is copied from the current synthesis of 30P5H2V0.

[vilc]

Final step for 34P5H2V0

Completed in 52G (the first steps were borrowed from 30P5H2V0).

Code: Select all

x = 667, y = 49, rule = B3/S23
657bo$655b2o$656b2o$85bobo550bo$86b2o88bo459bobo$86bo89bobo458b2o18bo$
176b2o455bo23bobo$88bo78bobo461bobo23b2o$88bobo77b2o462b2o$88b2o78bo
495bobo$664b2o$161bo8bo462bo31bo$88bobo71bo7bobo133bo327b2o$88b2o70b3o
7b2o132bobo326b2o$89bo215b2o$77bo166bo79bo79bo79bo79bo79bo$78bo164bobo
65bo11bobo77bobo77bobo77bobo77bobo$76b3o165bobo65bo11bobo77bobo77bobo
77bobo63bo13bobo$166b2o78bo63b3o13bo79bo79bo79bo64b2o13bo$2bo18bo66b2o
4b2o70bo2bo4b2o70bob2o4b2o70bob2o4b2o70bob2o4b2o70bob2o4b2o70bob2o4b2o
54b2o14bob2o4b2o$obo18bobo64bobo2bobo71b2obo2bobo71b2obo2bobo71b2obo2b
obo71b2obo2bobo71b2obo2bobo71b2obo2bobo71b2obo2bobo$b2o18b2o67bo2bo76b
o2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo76bo2bo$5b2o10b2o69bobo2bobo69b
4obo2bobo69b4obo2bobo69b4obo2bobo69b4obo2bobo69b4obo2bobo69b4obo2bobo
69b4obo2bobo$4bobo10bobo67bobo4b2o68bo3b2o4b2o68bo3b2o4b2o68bo3b2o4b2o
68bo3b2o4b2o68bo3b2o4b2o68bo3b2o4b2o68bo3b2o4b2o$6bo10bo70bo75b2o78b2o
61bo16b2o78b2o78b2o78b2o78b2o$308b2o$164b2o73bo4b2o61b2o13b4o76b4o76b
4o76b4o76b4o12bo$79b2o82bobo74bo2bobo65b3o8bo2bo67bo6b3o2bo74b3o2bo74b
3o2bo74b3o2bo12bobo$9b2o67bobo83bo73b3o3bo68bo77bobo5bo79bo79bo70b2o7b
o8bo9b2o$8b2o70bo231bo79b2o5b2o77bobo79b3o68b2o7b3o4bobo$10bo468bo82bo
57b2o3b2o3bo11bo3bo2bo$3o616bobo2bobo20b2o$2bo86b2o146b3o234bo8b3o135b
o4bo$bo87bobo145bo157b2o77b2o7bo94b2o$76bo12bo148bo74b2o81b2o75bobo8bo
80bo12bobo$76b2o236b2o79bo82b2o85b2o11bo$75bobo235bo85b2o78b2o83bobo$
399bobo76bo$399bo82b2o88bo82b3o$97bo384bobo86b2o82bo$96b2o384bo88bobo
55b2o25bo$96bobo529bobo$630bo3b3o3b3o$636bo5bo$635bo5bo2$645b3o14b2o$
645bo15b2o$646bo16bo!

Continuous:

Code: Select all

x = 254, y = 255, rule = B3/S23
244bo$242b2o$243b2o$19bo$17bobo$18b2o224bo$14bo229bobo$12bobo229b2o$
13b2o$251bobo$251b2o$14bo237bo$15b2o$14b2o4$11bo$12b2o$11b2o7$245bo$
245bobo$245b2o13$206bo$205bo$205b3o$66bo$32bo7bo26b2o$33bo7bo24b2o$31b
3o5b3o$200bo$60bo138bo$46bo11bobo138b3o$44bobo12b2o$45b2o29bo$77b2o$
76b2o2$186bo$185bo$41bobo141b3o$42b2o$42bo$55bo131bo$56bo128b2o$54b3o
129b2o2$68bo$66bobo$67b2o5$76bo118bo$74bobo118bobo$75b2o118b2o101$79b
2o110b2o$78bobo110bobo$80bo110bo4$183b2o$182b2o$184bo$69b3o2b3o$71bo4b
o$70bo4bo3$186b3o$186bo$66b2o119bo$67b2o$66bo3$194b2o$193b2o$195bo$46b
2o$45bobo$47bo2$189b3o$189bo$190bo$48bo$48b2o$47bobo12$35bo$35b2o$34bo
bo2$207b3o$28bo178bo9b3o$28b2o178bo8bo$27bobo188bo$32b2o$33b2o$32bo$
216b2o$216bobo$216bo$11b2o227b2o$12b2o17bo208bobo$b2o3b2o3bo19b2o207bo
$obo2bobo22bobo$2bo4bo$234bo$233b2o$233bobo3$242b3o$242bo$10b2o231bo$
9bobo$11bo3b3o3b3o$17bo5bo$16bo5bo2$232b3o14b2o$232bo15b2o$233bo16bo!

Edit :
2G reduction to the final step :

Code: Select all

x = 49, y = 40, rule = B3/S23
9bo$10b2o$9b2o$46bobo$46b2o$47bo$27bo$6bo21bo$7bo18b3o$obo2b3o30bo$b2o
35bobo$bo17b2ob2o14b2o$19bo3bo$20b3o3$20b3o$19bo3bo5b2o$19b2ob2o4bo2bo
$20bobo6bobo14bo$17b3o2bo7bo15bobo$16bo5bobob2o18b2o$15bobo5b2obo$16bo
9bo$26b2ob2o11b2o$27bobo12bobo$27bobo12bo$28bo$3b3o$5bo$4bo37b2o$12bo
29bobo$12b2o28bo$6b3o2bobo$8bo$7bo8b3o$18bo21b3o$17bo16b2o4bo$34bobo4b
o$34bo!

[KtT]

Reduced to 48G:

Code: Select all

x = 51, y = 68, rule = B3/S23
2bo$obo$b2o12$29bo$28bobo$29bobo$31bo$31bob2o4b2o$32b2obo2bobo$35bo2b
o$30b4obo2bobo$29bo3b2o4b2o$29b2o2$27b4o$27bo2bo17$2b2o$3b2o$2bo2$41b
2o$40b2o$4b2o36bo$3bobo$5bo3$47bo$46b2o$46bobo9$48b2o$48bobo$48bo!

[otismo]

34P5H2V0

Thank You All -

how about a "Continuous"

[Sokwe]

Final step for 34P5H2V0

Completed in 52G

Escellent! 34P5H2V0 was the last known unsynthesized ship up to 34 cells. At 35 cells the unsynthesized ships are 35P4H1V1 and four OWSS flotillas. The OWSS flotillas should be easy enough with current techniques. Can anyone give explicit syntheses?

Many years ago, Mark Niemiec synthesized all OWSS flotillas escorted by two standard spaceships up to 34 bits, but he didn't post the syntheses anywhere. As a result, there are some OWSS flotillas up to 34 bits without a synthesis on Catagolue. I posted what I think is a complete list of OWSS flotillas up to 34 bits here. Can anyone construct syntheses for those spaceships that don't have a synthesis on Catagolue?

Edit: all of the 31-bit and 34-bit OWSS flotillas have syntheses on Catagolue, but none of the 33-bit flotillas do. This also means that Catagolue probably doesn't have syntheses for any of the 35-bit OWSS flotillas either. Again, Mark Niemiec synthesized almost all of these many years ago. However, he was unaware of a few escort reactions, which resulted in the four unsynthesized 35-bit OWSS flotillas linked above. I think it would be nice if someone (or a group of people) could complete these OWSS flotilla syntheses and add them to Catagolue.

Edit 2: below is a collection of every known (and likely every possible) glide-symmetric OWSS flotilla supported by exactly two standard spaceships. Can anyone write a script to construct all 780 resulting OWSS flotillas sorted by minimum population?

Code: Select all

x = 569, y = 154, rule = B3/S23
130b3o9b3o9b3o9b3o167bo13bo$26bo11bo91bo2bo8bo2bo8bo2bo8bo2bo165b3o11b
3o$2bo11bo10b3o3b3o3b3o20b3o20b3o22b3o19bo5b3o3bo11bo5b3o3bo16b3o3b3o
3b3o9b3o3b3o3b3o9b3o3b3o3b3o20b3o19b3o20b3o20b2obo4b3o3b2obo15bo5b3o5b
o9bo5b3o5bo22b3o20b3o27b3o22b3o$b3o3b3o3b3o8b2obo2bo2bo2b2obo19bo2bo
19bo2bo21bo2bo19bo4bo2bo3bo3bo7bo4bo2bo3bo3bo12bo2bobo2bo3bo2bo8bo2bob
o2bo3bo2bo8bo2bobo2bo3bo2bo18bo2bo18bo2bo19bo2bo20b3o4bo2bo3b3o15b3o3b
o2bo4b3o7b3o3bo2bo4b3o15bo4bo2bo5bo8bo4bo2bo5bo20bo2bo21bo2bo$2obo2bo
2bo2b2obo8b3o6bo2b3o16bo6bo4bo10bo6bo4bo12bo6bo4bo14bo7bo3bo11bo7bo3bo
3bo12bo7bo3bo11bo7bo3bo11bo7bo3bo16b3o5bo3b3o7b3o5bo3b3o8b3o5bo3b3o14b
3o7bo3b3o14b2obo6bo3b2obo6b2obo6bo3b2obo14b3o6bo4b3o6b3o6bo4b3o14bo7bo
5bo10bo7bo5bo$3o6bo2b3o9b3o6bo2b3o15b3o5bo3b3o8b3o5bo3b3o10b3o5bo3b3o
14bobo4bo4bobo8bo7bo3bo16bo7bo3bo11bo7bo3bo3bo7bo7bo3bo3bo12bo2bo4bo3b
o2bo6bo2bo4bo3bo2bo7bo2bo4bo3bo2bo13b3o7bo3b3o14b3o7bo3b3o7b3o7bo3b3o
14b2obo2bo3bo3b2obo5b2obo2bo3bo3b2obo13b3o2bo3bo4b3o8b3o2bo3bo4b3o$3o
2bo3bo2b3o9b3o6bo2b3o14b2obo5bo2b2obo7b2obo5bo2b2obo9b2obo5bo2b2obo17b
o3bo16bobo4bo4bobo14bobo4bo4bobo8bo7bo3bo11bo7bo3bo3bo12bo7bo3bo9bo7bo
3bo10bo7bo3bo17b2o7bo4b2o14b3o7bo3b3o7b3o7bo3b3o14b3o7bo3b3o6b3o7bo3b
3o13b2obo2bo3bo3b2obo7b2obo2bo3bo3b2obo$b2o6bo3b2o10b2o6bo3b2o14b3o6bo
2b3o8b3o6bo2b3o10b3o6bo2b3o18bo3bo19bo3bo24bo3bo16bobo4bo4bobo8bo7bo3b
o16bo7bo3bo9bo7bo3bo3bo6bo7bo3bo3bo18bo3bo21b2o7bo4b2o7b3o7bo3b3o14b3o
7bo3b3o6b3o7bo3b3o13b3o7bo3b3o8b3o7bo3b3o$9bo19bo3bo20b2o2bo3bo3b2o8b
3o2bo3bo2b3o10b3o2bo3bo2b3o22bo23bo28bo23bo16bob2o3bo4bobo14bob2o3bo4b
obo6bo7bo3bo10bo7bo3bo3bo22bo30bo14b2o3bo3bo4b2o15b2o3bo3bo4b2o6b3o7bo
3b3o13b3o3bo3bo3b3o8b3o7bo3b3o$5bo3bo20bobo26bobo15b2o2bo2bo4b2o10b3o
2bo2bo3b3o19bobo21bobo26bobo21bobo21bobo26bobo15bobobobo5bobo7bo3b2obo
4bo23bobo28bobo21bobo28bobo14b2o4bobo5b2o14b2o4bobo5b2o8b3o3b2obo4b3o$
6bobo93b2o10b2o190bobo9bobo178b2o12b2o7$154b3o9b3o167bo13bo$2bo11bo11b
o11bo115bo2bo8bo2bo165b3o11b3o$b3o3b3o3b3o9b3o3b3o3b3o20b3o20b3o22b3o
43bo5b3o3bo17b3o3b3o3b3o8b3o3b3o3b3o9b3o3b3o3b3o20b3o19b3o20b3o20b2obo
4b3o3b2obo15bo5b3o5bo9bo5b3o5bo22b3o20b3o27b3o22b3o$2obo2bo2bo2b2obo8b
2obo2bo2bo2b2obo19bo2bo19bo2bo21bo2bo43bo4bo2bo3bo3bo13bo2bobo2bo3bo2b
o7bo2bobo2bo3bo2bo8bo2bobo2bo3bo2bo18bo2bo18bo2bo19bo2bo20b3o4bo2bo3b
3o15b3o3bo2bo4b3o7b3o3bo2bo4b3o15bo4bo2bo5bo8bo4bo2bo5bo20bo2bo21bo2bo
$3o6bo2b3o9b3o6bo2b3o16bo6bo4bo10bo6bo4bo12bo6bo4bo38bo7bo3bo3bo13bo7b
o3bo10bo7bo3bo11bo7bo3bo16b3o5bo3b3o7b3o5bo3b3o8b3o5bo3b3o14b3o7bo3b3o
14b2obo6bo3b2obo6b2obo6bo3b2obo14b3o6bo4b3o6b3o6bo4b3o14bo7bo5bo10bo7b
o5bo$3o2bo3bo2b3o9b3o6bo2b3o15b3o5bo3b3o8b3o5bo3b3o10b3o5bo3b3o37bo7bo
3bo17bo7bo3bo10bo7bo3bo3bo7bo7bo3bo3bo12bo2bo4bo3bo2bo6bo2bo4bo3bo2bo
7bo2bo4bo3bo2bo13b3o7bo3b3o14b3o7bo3b3o7b3o7bo3b3o14b2obo2bo3bo3b2obo
5b2obo2bo3bo3b2obo13b3o2bo3bo4b3o8b3o2bo3bo4b3o$b2o6bo3b2o9b3o6bo2b3o
14b2obo5bo2b2obo7b2obo5bo2b2obo9b2obo5bo2b2obo38bobo4bo4bobo15bobo4bo
4bobo7bo7bo3bo11bo7bo3bo3bo12bo7bo3bo9bo7bo3bo10bo7bo3bo17b2o7bo4b2o
14b3o7bo3b3o7b3o7bo3b3o14b3o7bo3b3o6b3o7bo3b3o13b2obo2bo3bo3b2obo7b2ob
o2bo3bo3b2obo$9bo15b2o6bo3b2o14b3o6bo2b3o8b3o6bo2b3o10b3o6bo2b3o42bo3b
o25bo3bo15bobo4bo4bobo8bo7bo3bo16bo7bo3bo9bo7bo3bo3bo6bo7bo3bo3bo18bo
3bo21b2o7bo4b2o7b3o7bo3b3o14b3o7bo3b3o6b3o7bo3b3o13b3o7bo3b3o8b3o7bo3b
3o$9bo23bo20b2o6bo3b2o8b3o2bo3bo2b3o10b3o6bo2b3o42bo3bo25bo3bo18bo3bo
16bobo4bo4bobo14bobo4bo4bobo6bo7bo3bo10bo7bo3bo3bo18bo3bo26bo3bo14b2o
7bo4b2o15b2o7bo4b2o6b3o7bo3b3o13b3o7bo3b3o8b3o7bo3b3o$9bo19bo3bo24bo3b
o14b2o6bo3b2o10b3o2bo3bo2b3o46bo29bo22bo23bo28bo14bob2o3bo4bobo7bo7bo
3bo26bo30bo23bo30bo13b2o3bo3bo4b2o14b2o3bo3bo4b2o8b3o7bo3b3o$6bobo21bo
bo26bobo20bobo17b2o2bo2bo4b2o43bobo27bobo20bobo21bobo26bobo19bobo16bob
obobo5bobo20bobo28bobo21bobo28bobo20bobo27bobo16b2o4bobo5b2o9$2bo11bo
11bo11bo$b3o3b3o3b3o9b3o3b3o3b3o20b3o20b3o22b3o96b3o3b3o3b3o9b3o3b3o3b
3o20b3o19b3o20b3o53bo5b3o5bo9bo5b3o5bo22b3o20b3o27b3o22b3o28b3o$2obo2b
o2bo2b2obo8b2obo2bo2bo2b2obo19bo2bo19bo2bo21bo2bo96bo2bobo2bo3bo2bo8bo
2bobo2bo3bo2bo18bo2bo18bo2bo19bo2bo52b3o3bo2bo4b3o7b3o3bo2bo4b3o15bo4b
o2bo5bo8bo4bo2bo5bo20bo2bo21bo2bo22b3o2bo2bo3b3o$3o6bo2b3o9b3o6bo2b3o
16bo6bo4bo10bo6bo4bo12bo6bo4bo91bo7bo3bo11bo7bo3bo16b3o5bo3b3o7b3o5bo
3b3o8b3o5bo3b3o45b2obo6bo3b2obo6b2obo6bo3b2obo14b3o6bo4b3o6b3o6bo4b3o
14bo7bo5bo10bo7bo5bo15bo2bo5bo2bo2bo$3o2bo3bo2b3o9b3o6bo2b3o15b3o5bo3b
3o8b3o5bo3b3o10b3o5bo3b3o90bo7bo3bo3bo7bo7bo3bo3bo12bo2bo4bo3bo2bo6bo
2bo4bo3bo2bo7bo2bo4bo3bo2bo44b3o7bo3b3o7b3o7bo3b3o14b2obo2bo3bo3b2obo
5b2obo2bo3bo3b2obo13b3o2bo3bo4b3o8b3o2bo3bo4b3o17bo5bo5bo$b2o6bo3b2o9b
3o6bo2b3o14b2obo5bo2b2obo7b2obo5bo2b2obo9b2obo5bo2b2obo90bo7bo3bo11bo
7bo3bo3bo12bo7bo3bo9bo7bo3bo10bo7bo3bo47b3o7bo3b3o7b3o7bo3b3o14b3o7bo
3b3o6b3o7bo3b3o13b2obo2bo3bo3b2obo7b2obo2bo3bo3b2obo13bo3bo5bobo3bo$9b
o15b2o6bo3b2o14b3o6bo2b3o8b3o6bo2b3o10b3o6bo2b3o92bobo4bo4bobo8bo7bo3b
o16bo7bo3bo9bo7bo3bo3bo6bo7bo3bo3bo44b2o7bo4b2o7b3o7bo3b3o14b3o7bo3b3o
6b3o7bo3b3o13b3o7bo3b3o8b3o7bo3b3o18bo2bo2bo5bo$9bo23bo20b2o6bo3b2o8b
3o2bo3bo2b3o10b3o6bo2b3o95bo3bo16bobo4bo4bobo14bobo4bo4bobo6bo7bo3bo
10bo7bo3bo3bo49bo3bo14b2o7bo4b2o15b2o7bo4b2o6b3o7bo3b3o13b3o7bo3b3o8b
3o7bo3b3o15bobo6bo2bobo$5bo3bo23bo28bo14b2o6bo3b2o10b3o6bo2b3o95bo3bo
19bo3bo24bo3bo14bobo4bo4bobo7bo7bo3bo53bo3bo19bo3bo26bo3bo13b2o7bo4b2o
14b2o7bo4b2o8b3o7bo3b3o24bo$9bo23bo24bo3bo18bo3bo16b2o6bo3b2o99bo23bo
28bo21bo15bob2o3bo4bobo54bo23bo30bo22bo29bo15b2o3bo3bo4b2o24bo$6bobo
21bobo26bobo20bobo22bobo102bobo21bobo26bobo19bobo20bobo59bobo21bobo28b
obo20bobo27bobo22bobo28bobo9$2bo11bo11bo11bo$b3o3b3o3b3o9b3o3b3o3b3o
20b3o20b3o22b3o120b3o3b3o3b3o20b3o19b3o20b3o77bo5b3o5bo22b3o20b3o27b3o
22b3o28b3o20b3o$2obo2bo2bo2b2obo8b2obo2bo2bo2b2obo19bo2bo19bo2bo21bo2b
o120bo2bobo2bo3bo2bo18bo2bo18bo2bo19bo2bo76b3o3bo2bo4b3o15bo4bo2bo5bo
8bo4bo2bo5bo20bo2bo21bo2bo22b3o2bo2bo3b3o8b3o2bo2bo3b3o$3o6bo2b3o9b3o
6bo2b3o16bo6bo4bo10bo6bo4bo12bo6bo4bo115bo7bo3bo16b3o5bo3b3o7b3o5bo3b
3o8b3o5bo3b3o69b2obo6bo3b2obo14b3o6bo4b3o6b3o6bo4b3o14bo7bo5bo10bo7bo
5bo15bo2bo5bo2bo2bo7bo2bo5bo2bo2bo$3o2bo3bo2b3o9b3o6bo2b3o15b3o5bo3b3o
8b3o5bo3b3o10b3o5bo3b3o114bo7bo3bo3bo12bo2bo4bo3bo2bo6bo2bo4bo3bo2bo7b
o2bo4bo3bo2bo68b3o7bo3b3o14b2obo2bo3bo3b2obo5b2obo2bo3bo3b2obo13b3o2bo
3bo4b3o8b3o2bo3bo4b3o17bo5bo5bo10bo5bo5bo$b2o6bo3b2o9b3o6bo2b3o14b2obo
5bo2b2obo7b2obo5bo2b2obo9b2obo5bo2b2obo114bo7bo3bo3bo12bo7bo3bo9bo7bo
3bo10bo7bo3bo71b3o7bo3b3o14b3o7bo3b3o6b3o7bo3b3o13b2obo2bo3bo3b2obo7b
2obo2bo3bo3b2obo13bo3bo5bobo3bo6bo3bo5bobo3bo$9bo15b2o6bo3b2o14b3o6bo
2b3o8b3o6bo2b3o10b3o6bo2b3o115bo7bo3bo16bo7bo3bo9bo7bo3bo3bo6bo7bo3bo
3bo67b3o7bo3b3o14b3o7bo3b3o6b3o7bo3b3o13b3o7bo3b3o8b3o7bo3b3o18bo2bo2b
o5bo6bo3bo2bo2bobo3bo$9bo23bo20b2o6bo3b2o8b3o2bo3bo2b3o10b3o6bo2b3o
116bobo4bo4bobo14bobo4bo4bobo6bo7bo3bo10bo7bo3bo3bo68b2o7bo4b2o15b2o7b
o4b2o6b3o7bo3b3o13b3o7bo3b3o8b3o7bo3b3o15bobo6bo2bobo11bo2bo2bo5bo$5bo
3bo23bo28bo14b2o6bo3b2o10b3o6bo2b3o119bo3bo24bo3bo14bobo4bo4bobo7bo7bo
3bo77bo3bo26bo3bo13b2o7bo4b2o14b2o7bo4b2o8b3o7bo3b3o24bo13bobo6bo2bobo
$5bo3bo19bo3bo28bo22bo16b2o6bo3b2o119bo3bo24bo3bo17bo3bo15bobo4bo4bobo
74bo3bo26bo3bo18bo3bo25bo3bo15b2o7bo4b2o20bo3bo22bo$9bo23bo28bo18bo3bo
20bo3bo128bo28bo21bo22bo85bo30bo22bo29bo24bo30bo22bo$6bobo21bobo26bobo
20bobo22bobo126bobo26bobo19bobo20bobo83bobo28bobo20bobo27bobo22bobo28b
obo20bobo9$26bo11bo$25b3o3b3o3b3o20b3o20b3o22b3o177b3o20b3o137b3o27b3o
22b3o28b3o20b3o$24b2obo2bo2bo2b2obo19bo2bo19bo2bo21bo2bo176bo2bo19bo2b
o131bo4bo2bo5bo20bo2bo21bo2bo22b3o2bo2bo3b3o8b3o2bo2bo3b3o$24b3o6bo2b
3o16bo6bo4bo10bo6bo4bo12bo6bo4bo166b3o5bo3b3o8b3o5bo3b3o124b3o6bo4b3o
14bo7bo5bo10bo7bo5bo15bo2bo5bo2bo2bo7bo2bo5bo2bo2bo$24b3o6bo2b3o15b3o
5bo3b3o8b3o5bo3b3o10b3o5bo3b3o165bo2bo4bo3bo2bo7bo2bo4bo3bo2bo122b2obo
2bo3bo3b2obo13b3o2bo3bo4b3o8b3o2bo3bo4b3o17bo5bo5bo10bo5bo5bo$24b3o6bo
2b3o14b2obo5bo2b2obo7b2obo5bo2b2obo9b2obo5bo2b2obo165bo7bo3bo10bo7bo3b
o125b3o7bo3b3o13b2obo2bo3bo3b2obo7b2obo2bo3bo3b2obo13bo3bo5bobo3bo6bo
3bo5bobo3bo$25b2o6bo3b2o14b3o6bo2b3o8b3o6bo2b3o10b3o6bo2b3o166bo7bo3bo
3bo6bo7bo3bo3bo121b3o7bo3b3o13b3o7bo3b3o8b3o7bo3b3o18bo2bo2bo5bo6bo3bo
2bo2bobo3bo$33bo20b2o6bo3b2o8b3o2bo3bo2b3o10b3o6bo2b3o166bo7bo3bo10bo
7bo3bo3bo121b3o7bo3b3o13b3o7bo3b3o8b3o7bo3b3o15bobo6bo2bobo11bo2bo2bo
5bo$33bo28bo14b2o6bo3b2o10b3o6bo2b3o167bobo4bo4bobo7bo7bo3bo126b2o7bo
4b2o14b2o7bo4b2o8b3o7bo3b3o24bo13bobo6bo2bobo$29bo3bo28bo22bo16b2o6bo
3b2o170bo3bo15bobo4bo4bobo128bo3bo25bo3bo15b2o7bo4b2o20bo3bo22bo$29bo
3bo24bo3bo22bo24bo175bo3bo18bo3bo135bo3bo25bo3bo20bo3bo26bo3bo18bo3bo$
33bo28bo22bo20bo3bo179bo22bo139bo29bo24bo30bo22bo$30bobo26bobo20bobo
22bobo177bobo20bobo137bobo27bobo22bobo28bobo20bobo10$60b3o20b3o22b3o
200b3o192b3o51b3o$59bo2bo19bo2bo21bo2bo199bo2bo191bo2bo45b3o2bo2bo3b3o
$55bo6bo4bo10bo6bo4bo12bo6bo4bo189b3o5bo3b3o180bo7bo5bo38bo2bo5bo2bo2b
o$54b3o5bo3b3o8b3o5bo3b3o10b3o5bo3b3o188bo2bo4bo3bo2bo178b3o2bo3bo4b3o
40bo5bo5bo$53b2obo5bo2b2obo7b2obo5bo2b2obo9b2obo5bo2b2obo188bo7bo3bo
180b2obo2bo3bo3b2obo36bo3bo5bobo3bo$53b3o6bo2b3o8b3o6bo2b3o10b3o6bo2b
3o189bo7bo3bo3bo176b3o7bo3b3o37bo3bo2bo2bobo3bo$54b2o6bo3b2o8b3o2bo3bo
2b3o10b3o6bo2b3o189bo7bo3bo3bo176b3o7bo3b3o41bo2bo2bo5bo$62bo14b2o6bo
3b2o10b3o6bo2b3o189bo7bo3bo180b3o7bo3b3o38bobo6bo2bobo$62bo22bo16b2o6b
o3b2o190bobo4bo4bobo178b2o7bo4b2o47bo$58bo3bo22bo24bo198bo3bo190bo3bo
49bo3bo$58bo3bo18bo3bo24bo198bo3bo190bo3bo49bo3bo$62bo22bo24bo202bo
194bo53bo$59bobo20bobo22bobo200bobo192bobo51bobo9$83b3o22b3o$82bo2bo
21bo2bo$78bo6bo4bo12bo6bo4bo$77b3o5bo3b3o10b3o5bo3b3o$76b2obo5bo2b2obo
9b2obo5bo2b2obo$76b3o6bo2b3o10b3o6bo2b3o$76b3o2bo3bo2b3o10b3o6bo2b3o$
77b2o6bo3b2o10b3o6bo2b3o$85bo16b2o6bo3b2o$85bo24bo$81bo3bo24bo$81bo3bo
20bo3bo$85bo24bo$82bobo22bobo8$108b3o$107bo2bo$103bo6bo4bo$102b3o5bo3b
3o$101b2obo5bo2b2obo$101b3o6bo2b3o$101b3o6bo2b3o$101b3o6bo2b3o$102b2o
6bo3b2o$110bo$110bo$106bo3bo$106bo3bo$110bo$107bobo!

Edit 3: Perhaps the following previously known 13WSS and 14WSS syntheses taken from Catagolue can serve as inspiration for the other types:

Code: Select all

x = 54, y = 151, rule = B3/S23
36bo$36bobo$36b2o6$29bobo$29b2o$30bo4$34bobo$34b2o$17bo5b2o10bo4bo$18b
2o3bo14b2o$17b2o5bo14b2o$25bobo$26b2o4$12bo11b2o6b2o8bo$13b2o9b2o6b2o
6b2o$6b3o3b2o27b2o$8bo15b4o2b4o$7bo16bo2bo2bo2bo$39b2o$39b2o$11b2o13b
2o$12b2o11bo2bo$11bo13bo2bo$26b2o3$36b2o$35b2o$37bo$17b3o$19bo11bo$18b
o11b2o$30bobo2$19bo$19b2o$18bobo25$2bo$3bo$b3o14$16bo$17b2o$16b2o6$31b
o$29bobo$30b2o3$6bo$4bobo18bo$5b2o19bo12bobo3bo$24b3o13b2o2bo$40bo3b3o
14$34b2o$34bobo$35bobo$27b2o7b2o$27b2o$31b2o$30bo2bo18b2o$30bo2bo17b2o
$b2o10b2o16b2o20bo$obo9bobo$2bo11bo$9bo$9b2o$8bobo8$51b2o$50b2o$52bo$
12b3o$14bo31bo$13bo31b2o$45bobo2$14bo$14b2o$13bobo!

[Goldtiger997]

Here's a simplification to the final step which does away with the siamese hat:

Code: Select all

x = 57, y = 54, rule = B3/S23
10bo$11bo$9b3o$54bo$54bobo$54b2o2$26bobo$5bobo19b2o$2bo3b2o19bo19bo$ob
o3bo38b2o$b2o43b2o4$23b2ob2o$23bo3bo$24b3o$25bo$25bo29bo$24b3o26b2o$
23bo3bo5b2o19b2o$23b2ob2o4bo2bo$24bobo6bobo$21b3o2bo7bo$20bo5bobob2o$
19bobo5b2obo$20bo9bo$30b2o4$50b2o$49b2o$51bo$4bo$4b2o$3bobo$50b2o$12b
2o14bo20b2o$7bo3bobo14b2o21bo$7b2o4bo13bobo$6bobo2$36b3o$36bo11b2o$26b
3o8bo9b2o$28bo20bo$27bo3$19b2o$20b2o$19bo!

I suspect there's also a simpler ~4G activation of the top of the table, but I haven't yet been able to find one.

[Chris857]

Here's a simplification to the final step which does away with the siamese hat:

...

I suspect there's also a simpler ~4G activation of the top of the table, but I haven't yet been able to find one.

Thus, should be 40G synth.

Code: Select all

x = 169, y = 77, rule = B3/S23
158bo$157bo$157b3o$111bo$112b2o$111b2o47bo$106bo51b2o$107b2o50b2o$106b
2o$166bo$166bobo$108bo57b2o$109bo$107b3o6$95bobo$96b2o$96bo5$102bo58b
o$100bobo4bo51b2o$101b2o5b2o50b2o$2bo104b2o23bo$bobo127bobo$2bobo127b
obo$4bo129bo$4bob2o4b2o120bob2o4b2o$5b2obo2bobo121b2obo2bobo$8b4o126b
4o$3b4obo2bobo119b4obo2bobo$2bo3b2o4b2o118bo3b2o4b2o$2b2o128b2o2$4o126b
4o$o2bo126bo2bo$136bo$135bobo$134bo2bo$15bo119b2o$14b2o$4b3o7bobo$6bo
$5bo2$7b3o$7bo$8bo3$103b2o$102bobo$104bo7$158bo$157b2o$102bo54bobo$102b
2o$101bobo5bo5bo$109b2o4b2o$108bobo3bobo2$148bo$147b2o14b3o$147bobo13b
o$164bo!

[dvgrn]

Thus, should be 40G synth.

Yes indeed -- here's the 40G continuous synthesis, minimum repeat time 254 unless I've missed any tricks:

Code: Select all

x = 223, y = 225, rule = B3/S23
212bobo$212b2o$17bo195bo$18bo$16b3o195bo$12bo200bo$13bo199b3o$11b3o$222b
o$220b2o$221b2o$12bobo$13b2o$13bo189bobo$203b2o$37bo166bo$38bo$36b3o$
2bo$obo$b2o26bo167bobo$30b2o165b2o$29b2o167bo$47bo$48bo$6bo39b3o166bo
$7b2o4bo200bo$6b2o6bo199b3o$12b3o168bobo$183b2o$184bo2$184bo$24bobo156b
o$25b2o156b3o$25bo$37bo$38b2o$37b2o5$46bo146bo$44bobo146bobo$45b2o146b
2o18$150bo$148b2o$149b2o$81bo$79bobo$80b2o68bo$76bo73bobo$74bobo73b2o
$75b2o$157bobo$157b2o$76bo81bo$77b2o$76b2o63bo$139b2o$140b2o$101bo$99b
obo$65bo34b2o$66bo$64b3o68bo$92bobo38b2o$93b2o39b2o$93bo$111bo$109bob
o$69bobo38b2o39bo$70b2o5bo73bobo$70bo4bobo43bo29b2o$76b2o41b2o$120b2o
3$88bo31bo$89b2o29bobo$88b2o30b2o2$100bobo$101b2o$101bo4$109bo20bo$110b
o18bo$108b3o18b3o3$112b3o10b3o$114bo10bo$113bo12bo3$118bo$117b2o$117b
obo$103b2o3b2o$104b2obobo$103bo5bo3$121b2o$120b2o$100b2o20bo$99bobo$101b
o3$128b2o$128bobo$128bo5$124b2o$123b2o$125bo$72bo74bo$72b2o72b2o$71bo
bo18b3o51bobo$94bo$93bo2$139b3o$139bo$140bo2$148b3o$148bo$70b3o76bo$72b
o$71bo5b3o3b3o$79bo5bo$78bo5bo2$138b3o14b2o$138bo15b2o$139bo16bo13$49b
2o138b2o$48bobo138bobo$50bo138bo4$181b2o$180b2o$40bo141bo$40b2o2b3o$39b
obo4bo$45bo2$185bo$184b2o$184bobo$36b3o$38bo$37bo3$191b3o$191bo$192bo
4$188bo$187b2o$187bobo2$8b2o200b2o$9b2o18b2o178b2o$8bo19bobo180bo$30b
o2$203b2o$203bobo$203bo2$212b2o$212bobo$7b2o203bo$6bobo$8bo5b2o4b2o$13b
obo3bobo$15bo5bo2$202b2o15bo$202bobo13b2o$202bo15bobo!

[Sokwe]

At 35 cells the unsynthesized ships are 35P4H1V1 and four OWSS flotillas. The OWSS flotillas should be easy enough with current techniques. Can anyone give explicit syntheses?

I was able to synthesize three of the four unsolved 35-bit OWSS flotillas:

Code: Select all

x = 122, y = 336, rule = B3/S23
47bo$45bobo$46b2o9$116bobo$45bo70b2o$46b2o4bo64bo$45b2o6bo$51b3o4$70bo
$71bo$69b3o11$65bo$66bo$64b3o7$9bo73b2o$10bo71bobo$8b3o59bo10bobo$14b
2o54b2o9b2o4b2o$13bobo4b2o47bobo15b2o$15bo3b2o$21bo5$16bo$15b2o$15bobo
2$86bo$85b2o$85bobo17$42b2o75b3o$41bobo75bo$43bo70b2o4bo$114bobo$105b
3o6bo$105bo$106bo$51bo$51b2o$50bobo2$103bo$102b2o$102bobo32$47bo$45bob
o$46b2o9$116bobo$116b2o$45bobo4bo64bo$46b2o5bo$46bo4b3o4$70bo$71bo$69b
3o11$65bo$66bo$64b3o7$9bo73b2o$10bo71bobo$8b3o59bo10bobo$14b2o54b2o9b
2o4b2o$13bobo4b2o47bobo15b2o$15bo3b2o$21bo5$16bo$15b2o$15bobo2$86bo$
85b2o$85bobo17$42b3o74b3o$44bo74bo$43bo5b2o69bo$48bobo$50bo2$109b2o$
108b2o$48b3o59bo$50bo$49bo45$47bo$45bobo$46b2o9$116bobo$116b2o$45bobo
4bo64bo$46b2o5bo$46bo4b3o4$70bo$71bo$69b3o11$65bo$66bo$6bobo55b3o$7b2o
$7bo3$14bo$12b2o$13b2o68b2o$82bobo$70bo10bobo$14b2o54b2o9b2o4bo$13b2o
54bobo15bo$15bo71bo$bo$b2o$obo7$86bo$85b2o$85bobo17$42b3o72bo$44bo71b
2o$43bo5b2o65bobo$48bobo$50bo2$109b2o$108b2o$48b3o59bo$50bo$49bo!

Unfortunately, I was unable to come up with a synthesis for the last one (HWSS on 10WSS on LWSS):

Code: Select all

x = 18, y = 19, rule = B3/S23
3$7b3o$6bo2bo$b3o5bo3b3o$bo2bo4bo3bo2bo$bo7bo3bo$bo7bo3bo$bo7bo4bobo$
bo7bo$2bobo4bo$9bo$6bobo!

Does anyone know of some alternate methods for constructing a 10WSS? The only method I know is demonstrated in the topmost synthesis above.

Edit: the HWSS on 10WSS on LWSS can actually be synthesized using the above 10WSS synthesis. The 3-glider HWSS synthesis works here, but I had assumed that it wouldn't fit, and none of the one-sided HWSS inserters I knew of worked. Here is the completed synthesis:

Code: Select all

x = 114, y = 89, rule = B3/S23
39bo$37bobo$38b2o9$108bobo$37bo70b2o$38b2o4bo64bo$37b2o6bo$43b3o2$35bo
$36b2o$35b2o25bo$63bo$61b3o20$bo73b2o$2bo71bobo$3o59bo10bobo$6b2o54b2o
9b2o4b2o$5bobo4b2o47bobo15b2o$7bo3b2o$13bo5$8bo$7b2o$7bobo20$94b3o$94b
o16b3o$95bo15bo$106b2o4bo$106bobo$97b3o6bo$97bo$98bo$43bo$43b2o$42bobo
2$95bo$94b2o$94bobo!

This leaves 35P4H1V1 as the only known unsynthesized spaceship up to 35 bits.

Edit 2: I synthesized most of the previously unsolved 37-bit OWSS flotillas:

Code: Select all

x = 155, y = 634, rule = B3/S23
80bo$78bobo$79b2o9$149bobo$149b2o$78bobo4bo64bo$79b2o5bo$79bo4b3o$151b
obo$151b2o$152bo$103bo$104bo$102b3o11$98bo$99bo$97b3o2$52bo$50b2o$51b
2o2$40bo$33bo6b2o74b2o$34bo4bobo3bo69bobo$32b3o9b2o57bo10bobo$44bobo
56b2o9b2o$102bobo11$119bo$118b2o$118bobo15$91b2o$90bobo$75b3o14bo$77bo
$76bo5b2o$81bobo$83bo$145bo$144b2o$144bobo2$86bo$86b2o$85bobo60b2o$
147b2o$149bo22$80bo$78bobo$79b2o9$149bobo$149b2o$78bobo4bo64bo$79b2o5b
o$79bo4b3o4$103bo$104bo$102b3o11$98bo$99bo$97b3o7$42bo73b2o$43bo71bobo
$41b3o59bo10bobo$47b2o54b2o9b2o4b2o$46bobo4b2o47bobo15b2o$48bo3b2o$54b
o5$49bo$48b2o$48bobo2$119bo$118b2o$118bobo17$75b3o74b3o$77bo74bo$76bo
5b2o63b2o4bo$81bobo63bobo$83bo63bo2$141bo$140b2o$140bobo27$80bo$78bobo
$79b2o8$78bo$79b2o68bobo$78b2o69b2o$85bo64bo$86bo$76bo7b3o$77b2o$76b2o
2$103bo$104bo$102b3o20$42bo73b2o$43bo71bobo$41b3o59bo10bobo$47b2o54b2o
9b2o4b2o$46bobo4b2o47bobo15b2o$48bo3b2o$54bo5$49bo$48b2o$48bobo18$135b
3o$135bo$136bo$152b3o$152bo$147b2o4bo$147bobo$138b3o6bo$138bo$139bo$
84bo$84b2o$83bobo2$136bo$135b2o$135bobo22$80bo$78bobo$79b2o9$149bobo$
78bo70b2o$79b2o4bo64bo$78b2o6bo$84b3o4$103bo$104bo$102b3o11$98bo$99bo$
97b3o2$10bo$obo5bobo$b2o6b2o$bo2$7bo5bo32b2o68b2o$5bobo5bobo29bobo67bo
bo$6b2o5b2o29bobo56bo10bobo$44b2o4b2o51b2o9b2o4b2o$49bobo50bobo14bobo$
11b2o37bo69bo$10b2o$12bo104b2o$46b2o69b2o$45bobo$47bo$50b2o$50bobo$50b
o2$119bo$118b2o$118bobo17$75b2o75b3o$74bobo75bo$76bo76bo2$138b3o$138bo
$139bo$84bo$84b2o$83bobo2$136bo$135b2o$135bobo22$80bo$78bobo$79b2o9$
149bobo$78bo70b2o$79b2o4bo64bo$78b2o6bo$84b3o2$76bo$77b2o$76b2o25bo$
104bo$102b3o15$10bo$obo5bobo$b2o6b2o$bo2$7bo5bo32b2o68b2o$5bobo5bobo
29bobo67bobo$6b2o5b2o29bobo56bo10bobo$44b2o4b2o51b2o9b2o4b2o$49bobo50b
obo14bobo$11b2o37bo69bo$10b2o$12bo104b2o$46b2o69b2o$45bobo$47bo$50b2o$
50bobo$50bo20$135b3o$135bo16b3o$136bo15bo$153bo2$138b3o$138bo$139bo$
84bo$84b2o$83bobo2$136bo$135b2o$135bobo22$80bo$78bobo$79b2o9$149bobo$
149b2o$78bobo4bo64bo$79b2o5bo$79bo4b3o4$103bo$104bo$102b3o11$98bo$99bo
$97b3o2$10bo$obo5bobo$b2o6b2o$bo2$7bo5bo32b2o68b2o$5bobo5bobo29bobo67b
obo$6b2o5b2o29bobo56bo10bobo$44b2o4b2o51b2o9b2o4b2o$49bobo50bobo14bobo
$11b2o37bo69bo$10b2o$12bo104b2o$46b2o69b2o$45bobo$47bo$50b2o$50bobo$
50bo2$119bo$118b2o$118bobo17$75b3o74b3o$77bo74bo$76bo5b2o69bo$81bobo$
83bo2$141bo$140b2o$140bobo!

However, I was unable to solve two 9WSS flotillas and one 10WSS flotilla:

Code: Select all

x = 77, y = 11, rule = B3/S23
8b3o21b3o3b3o27b3o$2b3o2bo2bo3b3o15bo2bobo2bo3b3o20bo2bo3b3o$bo2bo5bo
2bo2bo15bo7bo2bo2bo15b3o5bo2bo2bo$4bo5bo5bo15bo7bo5bo15bo2bo4bo5bo$o3b
o5bobo3bo15bo7bobo3bo15bo7bobo3bo$4bo2bo2bo5bo15bo7bo5bo15bo7bo5bo$bob
o6bo2bobo17bobo4bo2bobo16bo7bo2bobo$10bo25bo3bo21bo7bo$10bo29bo22bobo
4bo$7bobo27bobo30bo$67bobo!

[May13]

I made a synthesis of a 42-cell c/3 spaceship, xq3_w2lez2r30hnkozw148222q7zy2966 (originally posted in Discord):

Code: Select all

x = 1629, y = 149, rule = B3/S23
1559bo$1557b2o$1558b2o$1552b2o$1553b2o$1552bo4b3o$1557bo$1558bo15$
1600bo$1592bobo5bobo$1592b2o6b2o$1593bo13bobo$1607b2o$1608bo$1589bobo$
1589b2o$1545bo44bo$1543bobo$1544b2o2$1608bo$1606b2o$1582bo24b2o$1581bo
$1581b3o7bobo$1591b2o18bo$1507bo84bo12bo4bo6bo$1508b2o95bobo2b3o3bo$
1507b2o96b2o9b3o3$1494bo98bo3bo$1492bobo96b2o3bo8bo$1493b2o7bobo87b2o
2b3o6bobo$1503b2o100b2o$1503bo2$1499bobo$1500b2o$1500bo8$683bo$622bo
60bobo$604bo15b2o61b2o$603bo17b2o$603b3o$583bo$584b2o$583b2o67bo476bo$
124bobo468bo54bobo80bobo391bobo$124b2o470bo54b2o20bo59b2o154bo88bo149b
2o$74bo50bo371bo96b3o70bobo2bo8bo52bo152bobo88bobo153bo$75bo43bo376bo
171b2o2b3o6bobo45bobo38bo34bobo80b2o88b2o154bobo$73b3o41bobo376b3o169b
o12b2o46b2o30bo8bobo33b2o5bo78bobo3bo187bobo45b2o$29bo88b2o123bo486bo
31bo7b2o34bo4b2o35bo43b2o4bobo74bo53bo5bo50b2o84b2o48b2o58b2o68b2o68b
2o128b2o$2bo25bo48b2o165b2o514b3o49b2o32b2o45bo4b2o33bo39b2o55bo3bo52b
o84b2o48b2o58b2o68b2o68b2o128b2o$obo25b3o46b2o164b2o211bobo98bobo281bo
bo3b2o58b2o25b2o38b2o52b3o3b3o$b2o15bo437b2o39b2o8bo43bo5b2o44bobo49bo
bo71b2o74b2o35b2o37bo24b2o25b2o81b2o48b2o58b2o38b2o48b2o58b2o68b2o68b
2o128b2o$17b2o5b3o54b2o33bobo7b2o37b2o36b2o54b2o58b2o51b2o83bo40b2o6bo
42b2o7bo44b2o51b2o70b2o76b2o34bo39b2o3b2o19bo69bob2o35bo2b2o45bo2b2o
55bo2b2o35bo2b2o45bo2b2o55bo2b2o65bo2b2o65bo2b2o125bo2b2o$11bo5bobo4bo
56bo2bo32b2o7bo2bo32bo2bo2bo31bo2bo2bo36b2o11bo2bo2bo53bo2bo2bo46bo2bo
2bo76bobo42bo8b3o31b2o8b2o38b2o12bo51bo73bo74bo43b2o30b2o4bobo50b2o28b
3o5b2obo35bobobo9b2o34bobobo55bobobo35bobobo45bobobo55bobobo65bobobo
65bobobo125bobobo$11b2o12bo53b2o2b2o32bo6b2o2b2o32b3o2b2o31b3o2b2o35bo
bo11b3o2b2o53b3o2b2o46b3o2b2o76b2o5b3o39b2o38bo49bo68bo13b2o44bo3b2o
44bo3bo34b2o3bo34bo4bo35bo3bo39b2o4bo2b2o27bo8bob2o33bo2bob2o6bobo34bo
2bob2o53bo2bob2o33bo2bob2o43bo2bob2o53bo2bob2o63bo2bob2o15bo47bo2bob2o
123bo2bob2o$10bobo65bo44bo120bo208bo5bo40bo2bo36bo49bo69b2o8bo2bobo43b
obobobo10bo32bobobobo27bo5bobobobo35bobobo35bobobo37bobo5bobobo25bo9bo
bobo35bobobo5bo39bobobo55bobobo35bobobo45bobobo55bobobo65bobobo12b2o
51bobobo125bobobo$79b6o39b6o32b7o31b7o49b7o55b5o48b5o84bo39b4o36b4o5b
2o39b4o11b3o51bobo8b4o46b2obo10b2o34b2obo2bo26b2o5b2obo2bo33b2obo2bo
33b2obo2bo38bo4b2obo2bo33b2obo2bo33b2obo2bo43b2obo2bo53b2obo2bo33b2obo
2bo43b2obo2bo53b2obo2bo63b2obo2bo12b2o8bo40b2obo2bo123b2obo2bo$81bo2bo
31b2o8bo2bo32bo2bo2bo30bo3bo2bo48bo2bo4bo54bo4bo47bo3bo167bo5bobo42bo
10bo68bo49bo10b2o37bobo25bobo9bobo37bobo37bobo47bobo37bobo37bobo47bobo
57bobo37bobo47bobo57bobo67bobo22bobo42bobo127bobo$115b2o82b2o54b2o4bob
o57bobo48bo77b2o48b2o38b2o7bo40b2ob2o11bo63b2ob2o45b2ob2o45b2ob2ob2o
32b2ob2ob2o32b2ob2ob2o32b2ob2ob2o42b2ob2ob2o32b2ob2ob2o32b2ob2ob2o42b
2ob2obobo51b2ob2obob2o30b2ob2obob2o40b2ob2obob2o50b2ob2obob2o60b2ob2ob
ob2o19b2o39b2ob2obob2o120b2ob2obob2o$77b2o38bo143b2o58b2o48b2o77bo49bo
39bo49bo79bo49bo49bo39bo39bo39bo39b2o8bo39bo39bo49bo6b2o51bo5bo2bo30bo
5bo2bo40bo5bo2bo50bo5bo2bo60bo5bo2bo60bo5bo2bo120bo5bo2bo$76bo2bo164b
3o200b2obo46b2obo36b2obo46b2obo76b2obo46b2obo9b3o34b2obo36b2obo36b2obo
36b2obo40b2o4b2obo36b2obo36b2obo46b2obo56b2obo5b2o29b2obo5b2o39b2obo5b
2o49b2obo5b2o59b2obo5b2o59b2obo5b2o119b2obo5b2o$77b2o83bo83bo129b2o70b
o2b2o45bo2b2o35bo2b2o10b3o32bo2b2o65b3o7bo2b2o45bo2b2o7bo37bo2b2o35bo
2b2o35bo2b2o35bo2b2o37bo7bo2b2o35bo2b2o35bo2b2o45bo2b2o15b2o38bo2b2o
35bo2b2o45bo2b2o55bo2b2o65bo2b2o65bo2b2o125bo2b2o$22b2o101b2o35b2o81bo
60bo68b2o71bo3bo45bo3bo35bo3bo10bo34bo3bo67bo7bo3bo45bo3bo8bo36bo3bo
35bo3bo35bo3bo35bo3bo45bo3bo35bo3bo35bo3bo45bo3bo14b2o39bo3bo35bo3bo
45bo3bo55bo3bo65bo3bo65bo3bo125bo3bo$22bobo47b3o50bobo33bobo3bo136bobo
63b3o4bo67b2obobo44b2obobo34b2obobo13bo30b2obobo68bo5b2obobo44b2obobo
44b2obobo34b2obobo34b2obobo34b2obobo44b2obobo34b2obobo34b2obobo44b2obo
bo11bo6bo35b2obobo34b2obobo10bo4bo28b2obobo54b2obobo64b2obobo64b2obobo
124b2obobo$22bo51bo50bo40b2o35bo101b2o65bo72bob2ob2o43bob2ob2o33bob2ob
2o43bob2ob2o73bob2ob2o43bob2ob2o4bo38bob2ob2o33bob2ob2o33bob2ob2o33bob
2ob2o43bob2ob2o33bob2ob2o33bob2ob2o43bob2ob2o8b2o43bob2ob2o33bob2ob2o
7b2o3b2o29bob2ob2o3bo49bob2ob2o3b2o58bob2ob2o3b2o58bob2ob2o3b2ob2o115b
ob2ob2o3b2ob2o$73bo92bobo34b2o3bo162bo354b2o353b2o97b2o3b2o37bobo57bob
3o65bob3o65bobob2o124bobob2o$11b3o25b2o161bobo2b2o99b2o415bobo496b2o
58bo4bob2o61bo4bo64bo129bo$11bo27bobo119b2o44bobo99b2o62b3o909b3obob2o
62b3obo65b5o125b5o$12bo26bo120bobo145bo64bo709b3o201b2o68b2o70bo129bo$
162bo211bo702b3o3bo100b3o110bo129bo129bo$210bo868bo4bo99bo47bo63b2o74b
o54b2o128b2o$209b2o867bo106bo45bo64bobo72b2o$209bobo1014b3o2b3o137bobo
179b2o$337b2o889bo323bo2bo$336b2o889bo325b2o$338bo1081bo$1233b2o150bo
34b2o$1232b2o150b2o33bobo$1234bo141bo7bobo41bo$295bo1079b2o50b2o$295b
2o1078bobo49bobo$294bobo3$1508bo$321b3o1184b2o85b2o$321bo1185bobo85bob
o$322bo1272bo$1603b2o$1602b2o$1507bo96bo$1507b2o$1506bobo89b2o$1597b2o
$1244b2o255b3o95bo10b2o$1243b2o258bo105b2o$1245bo256bo108bo3$1510b2o$
1509bobo115b2o$1511bo114b2o$1628bo2$1573b3o$1573bo$1574bo16b2o$1590b2o
$1592bo12$1487b2o$1488b2o$1487bo!

It took me about 2 days to make this synthesis.

[KtT]

I made a synthesis of a 42-cell c/3 spaceship, xq3_w2lez2r30hnkozw148222q7zy2966 (originally posted in Discord):

Code: Select all

x = 1629, y = 149, rule = B3/S23
1559bo$1557b2o$1558b2o$1552b2o$1553b2o$1552bo4b3o$1557bo$1558bo15$
1600bo$1592bobo5bobo$1592b2o6b2o$1593bo13bobo$1607b2o$1608bo$1589bobo$
1589b2o$1545bo44bo$1543bobo$1544b2o2$1608bo$1606b2o$1582bo24b2o$1581bo
$1581b3o7bobo$1591b2o18bo$1507bo84bo12bo4bo6bo$1508b2o95bobo2b3o3bo$
1507b2o96b2o9b3o3$1494bo98bo3bo$1492bobo96b2o3bo8bo$1493b2o7bobo87b2o
2b3o6bobo$1503b2o100b2o$1503bo2$1499bobo$1500b2o$1500bo8$683bo$622bo
60bobo$604bo15b2o61b2o$603bo17b2o$603b3o$583bo$584b2o$583b2o67bo476bo$
124bobo468bo54bobo80bobo391bobo$124b2o470bo54b2o20bo59b2o154bo88bo149b
2o$74bo50bo371bo96b3o70bobo2bo8bo52bo152bobo88bobo153bo$75bo43bo376bo
171b2o2b3o6bobo45bobo38bo34bobo80b2o88b2o154bobo$73b3o41bobo376b3o169b
o12b2o46b2o30bo8bobo33b2o5bo78bobo3bo187bobo45b2o$29bo88b2o123bo486bo
31bo7b2o34bo4b2o35bo43b2o4bobo74bo53bo5bo50b2o84b2o48b2o58b2o68b2o68b
2o128b2o$2bo25bo48b2o165b2o514b3o49b2o32b2o45bo4b2o33bo39b2o55bo3bo52b
o84b2o48b2o58b2o68b2o68b2o128b2o$obo25b3o46b2o164b2o211bobo98bobo281bo
bo3b2o58b2o25b2o38b2o52b3o3b3o$b2o15bo437b2o39b2o8bo43bo5b2o44bobo49bo
bo71b2o74b2o35b2o37bo24b2o25b2o81b2o48b2o58b2o38b2o48b2o58b2o68b2o68b
2o128b2o$17b2o5b3o54b2o33bobo7b2o37b2o36b2o54b2o58b2o51b2o83bo40b2o6bo
42b2o7bo44b2o51b2o70b2o76b2o34bo39b2o3b2o19bo69bob2o35bo2b2o45bo2b2o
55bo2b2o35bo2b2o45bo2b2o55bo2b2o65bo2b2o65bo2b2o125bo2b2o$11bo5bobo4bo
56bo2bo32b2o7bo2bo32bo2bo2bo31bo2bo2bo36b2o11bo2bo2bo53bo2bo2bo46bo2bo
2bo76bobo42bo8b3o31b2o8b2o38b2o12bo51bo73bo74bo43b2o30b2o4bobo50b2o28b
3o5b2obo35bobobo9b2o34bobobo55bobobo35bobobo45bobobo55bobobo65bobobo
65bobobo125bobobo$11b2o12bo53b2o2b2o32bo6b2o2b2o32b3o2b2o31b3o2b2o35bo
bo11b3o2b2o53b3o2b2o46b3o2b2o76b2o5b3o39b2o38bo49bo68bo13b2o44bo3b2o
44bo3bo34b2o3bo34bo4bo35bo3bo39b2o4bo2b2o27bo8bob2o33bo2bob2o6bobo34bo
2bob2o53bo2bob2o33bo2bob2o43bo2bob2o53bo2bob2o63bo2bob2o15bo47bo2bob2o
123bo2bob2o$10bobo65bo44bo120bo208bo5bo40bo2bo36bo49bo69b2o8bo2bobo43b
obobobo10bo32bobobobo27bo5bobobobo35bobobo35bobobo37bobo5bobobo25bo9bo
bobo35bobobo5bo39bobobo55bobobo35bobobo45bobobo55bobobo65bobobo12b2o
51bobobo125bobobo$79b6o39b6o32b7o31b7o49b7o55b5o48b5o84bo39b4o36b4o5b
2o39b4o11b3o51bobo8b4o46b2obo10b2o34b2obo2bo26b2o5b2obo2bo33b2obo2bo
33b2obo2bo38bo4b2obo2bo33b2obo2bo33b2obo2bo43b2obo2bo53b2obo2bo33b2obo
2bo43b2obo2bo53b2obo2bo63b2obo2bo12b2o8bo40b2obo2bo123b2obo2bo$81bo2bo
31b2o8bo2bo32bo2bo2bo30bo3bo2bo48bo2bo4bo54bo4bo47bo3bo167bo5bobo42bo
10bo68bo49bo10b2o37bobo25bobo9bobo37bobo37bobo47bobo37bobo37bobo47bobo
57bobo37bobo47bobo57bobo67bobo22bobo42bobo127bobo$115b2o82b2o54b2o4bob
o57bobo48bo77b2o48b2o38b2o7bo40b2ob2o11bo63b2ob2o45b2ob2o45b2ob2ob2o
32b2ob2ob2o32b2ob2ob2o32b2ob2ob2o42b2ob2ob2o32b2ob2ob2o32b2ob2ob2o42b
2ob2obobo51b2ob2obob2o30b2ob2obob2o40b2ob2obob2o50b2ob2obob2o60b2ob2ob
ob2o19b2o39b2ob2obob2o120b2ob2obob2o$77b2o38bo143b2o58b2o48b2o77bo49bo
39bo49bo79bo49bo49bo39bo39bo39bo39b2o8bo39bo39bo49bo6b2o51bo5bo2bo30bo
5bo2bo40bo5bo2bo50bo5bo2bo60bo5bo2bo60bo5bo2bo120bo5bo2bo$76bo2bo164b
3o200b2obo46b2obo36b2obo46b2obo76b2obo46b2obo9b3o34b2obo36b2obo36b2obo
36b2obo40b2o4b2obo36b2obo36b2obo46b2obo56b2obo5b2o29b2obo5b2o39b2obo5b
2o49b2obo5b2o59b2obo5b2o59b2obo5b2o119b2obo5b2o$77b2o83bo83bo129b2o70b
o2b2o45bo2b2o35bo2b2o10b3o32bo2b2o65b3o7bo2b2o45bo2b2o7bo37bo2b2o35bo
2b2o35bo2b2o35bo2b2o37bo7bo2b2o35bo2b2o35bo2b2o45bo2b2o15b2o38bo2b2o
35bo2b2o45bo2b2o55bo2b2o65bo2b2o65bo2b2o125bo2b2o$22b2o101b2o35b2o81bo
60bo68b2o71bo3bo45bo3bo35bo3bo10bo34bo3bo67bo7bo3bo45bo3bo8bo36bo3bo
35bo3bo35bo3bo35bo3bo45bo3bo35bo3bo35bo3bo45bo3bo14b2o39bo3bo35bo3bo
45bo3bo55bo3bo65bo3bo65bo3bo125bo3bo$22bobo47b3o50bobo33bobo3bo136bobo
63b3o4bo67b2obobo44b2obobo34b2obobo13bo30b2obobo68bo5b2obobo44b2obobo
44b2obobo34b2obobo34b2obobo34b2obobo44b2obobo34b2obobo34b2obobo44b2obo
bo11bo6bo35b2obobo34b2obobo10bo4bo28b2obobo54b2obobo64b2obobo64b2obobo
124b2obobo$22bo51bo50bo40b2o35bo101b2o65bo72bob2ob2o43bob2ob2o33bob2ob
2o43bob2ob2o73bob2ob2o43bob2ob2o4bo38bob2ob2o33bob2ob2o33bob2ob2o33bob
2ob2o43bob2ob2o33bob2ob2o33bob2ob2o43bob2ob2o8b2o43bob2ob2o33bob2ob2o
7b2o3b2o29bob2ob2o3bo49bob2ob2o3b2o58bob2ob2o3b2o58bob2ob2o3b2ob2o115b
ob2ob2o3b2ob2o$73bo92bobo34b2o3bo162bo354b2o353b2o97b2o3b2o37bobo57bob
3o65bob3o65bobob2o124bobob2o$11b3o25b2o161bobo2b2o99b2o415bobo496b2o
58bo4bob2o61bo4bo64bo129bo$11bo27bobo119b2o44bobo99b2o62b3o909b3obob2o
62b3obo65b5o125b5o$12bo26bo120bobo145bo64bo709b3o201b2o68b2o70bo129bo$
162bo211bo702b3o3bo100b3o110bo129bo129bo$210bo868bo4bo99bo47bo63b2o74b
o54b2o128b2o$209b2o867bo106bo45bo64bobo72b2o$209bobo1014b3o2b3o137bobo
179b2o$337b2o889bo323bo2bo$336b2o889bo325b2o$338bo1081bo$1233b2o150bo
34b2o$1232b2o150b2o33bobo$1234bo141bo7bobo41bo$295bo1079b2o50b2o$295b
2o1078bobo49bobo$294bobo3$1508bo$321b3o1184b2o85b2o$321bo1185bobo85bob
o$322bo1272bo$1603b2o$1602b2o$1507bo96bo$1507b2o$1506bobo89b2o$1597b2o
$1244b2o255b3o95bo10b2o$1243b2o258bo105b2o$1245bo256bo108bo3$1510b2o$
1509bobo115b2o$1511bo114b2o$1628bo2$1573b3o$1573bo$1574bo16b2o$1590b2o
$1592bo12$1487b2o$1488b2o$1487bo!

It took me about 2 days to make this synthesis.

3-gliders reduction:

Code: Select all

x = 270, y = 401, rule = B3/S23
255bobo$255b2o12bo$256bo10b2o$136bo131b2o$135bo52bo$135b3o48bobo77bo$
149bobo35b2o6bobo66b2o$149b2o45b2o67b2o$150bo45bo4$136bo$136bobo$136b
2o29$95b2o128b2o$92b2o2bo125b2o2bo$92bob2o126bob2o$88b2o4bo123b2o$86b
o2bo2bobo121bo2bo2bob2o$86b2o2b3ob2o120b2o2b3obobo$225b2o$86b5o125b5o
$86bo3bo125bo3bo$87bo129bo$86b2o128b2o20$182b2o$183b2o$182bo6$136b2o$
135b2o$137bo6$62b2o$56b2o5b2o$55bobo4bo$57bo$130b2o$129b2o$131bo15b2o
$146b2o$148bo111$166bo$15bobo3bobo142bobo$16b2o4b2o142b2o$16bo5bo159b
o$171bobo6b2o$160bo5bo4b2o8b2o$159bo5bo6bo$159b3o3b3o$27bobo$28b2o$28b
o155bo$183bo$183b3o$23bobo$24b2o134bo$24bo6bo128bobo$obo29bo127b2o$b2o
27b3o$bo182bo$160bobo6bo12b2o$9bobo148b2o5b2o14b2o$10b2o149bo6b2o9bo$
10bo166b2o$178b2o6$169bo$169bobo$169b2o6$13bo$11bobo$12b2o14$138bo66b
obo$136bobo66b2o$137b2o67bo30$81b2ob2o4b2o$79bo2bob2o5bo$79b2obo6bo$82b
ob2o3b5o$76bo5bo2bo8bo$75bobo5b2o6b2o2bo$75bobo13bob3o4b2o$76bo10b2o11b
2o$85bo2bo2bob5o$85b2o2b3obo3bo$96bo$85b5o5bo$85bo3bo6b3o$86bo11bo$85b
2o23$139bo$139b2o$138bobo7$175b3o$175bo$176bo32$16b3o$18bo$17bo13b2o133b
o$25b2o5b2o131b2o$26b2o3bo133bobo$25bo2$159b2o$22b2o134b2o$21bobo136b
o$23bo131b2o$154b2o$156bo13$b3o$3bo$2bo!

[HartmutHolzwart]

Congratulations to all! That is a lot of progress in a short time frame!

I hope to see even more of that in the future. It’s still magic for me, but magic I like!