Travelling Ts(b3s23-a5) and its variants

hotcrystal0 · Post by **hotcrystal0** » October 4th, 2026, 10:45 am

I'm mildly surprised that I left a smaller P420 4c/8o gun design in CA Roleplay Ultimate for a while and nobody (especially ThePlayzr) even noticed.
Here is the gun:

Code: Select all

x = 488, y = 572, rule = B3/S23-a5
162b2o64b2o$162b2o49bo14b3o$161b3o49b3o8bobobobo$161bo2bo51bo8b2o2b2o
$162b3o50b2o8b5o$227b2o2$107bo$106b2o48bo$105bo2bo46b2o$106b4o46bo53b
2o$106b2o3bo99b2o$108bo2bo98bo$109bo5$144bo$141b3obo53bob3o$139b3o2b2o
54bobo$141bobo2bo53bob2o$145bo$145bo$116bobo$116bob2o$118b2o$115bo3bo
$115bob2o$115b3o$172b2o$172bo$170bobo$170b2o$154b3o$154bob2o$154bo3bo
$157b2o$155bob2o$155bobo$192bo$190b2ob2o$191bo2bo$194bo$193b2o$191bob
o14b3o$192bo14b3obo37b3o$211b2o33b2o3bo$207b2o3bo37b2o$210b3o33b3obo$
247b3o$221bo$219b2ob2o$222bobo$136bo84bobo22bo$135b3o85bo21b2o$135b3o
83b3o22bo$222bo94b3o$222bo93b2ob2o$316bo2b2o$317bobo$317b3o$254b2o2$253b
o2bo43b4o$254bob2o42bo2b2o$255b2ob2o41bobo$136bo118b2obo42b2o$137b2o118b
o$136b3o$138b2o9b2o$134b3ob2o9bo53b2o$134b2ob2o11b3o48b3obo$135b3o14b
o48b3obo$204b2o2$308bo$307b3o$307b3o4$254b2o2$257b2o$253b2o3bo$255b2o
$191bo65b2o131b3o48bo15b3o$190b3o196b2ob2o47b3o10b2o3bo$389bo2b2o50bo
13b2o$305b3o82bobo50b2o9b3obo$305bo2bo81b3o62b3o$306b3o$306b2o28bo$306b
2o25bo2bo53bo$333bo3bo49b2obo$337bo52bo$335bo2bo$256b2o77b2obo$255bob
o$255bo$254b2o2$288b4o79bo56b2o3bo$287b2o2bo77bo2bo55bob2obo$288bobo78b
o3b2o55bobo$289b2o80b4o54bo$325bo46bo2bo54b3o$325bo47b2o55b3o$324b3o46b
o56b2o$324bo105b2o$272b2o7bo42bobo19b2o82b2o$272bobo6b2o40bobo18b3o$272b
o8bo42b2ob2o14bo3bo$326bo15b2ob3o$342b2o$344b2o54b2o$400bo$398bobo$294b
2o87b2o13b2o$294bo86b2o$295b3o83b2ob3o49bob2o$297bo84bo3bo49b2obo$282b
2o99b3o51bobobo$281b2o102b2o50bo3bo$283bo154b3o$439b2o$422b2o$421bobo
$421bo$420b2o$478b2o$477b3o$476bo3bo$364bo111bobobo$364bo110b2obo$363b
obo83bo25bob2o$448bob2o$447b2ob2o$449b2obo$450bo2bo$283bo$283b3o165b2o
$286bo189bobo$285b2o190bo$477bo4$253bo228b2o$253bo36b2o192b2o$252bo2b
obo31b3o190bo3b2o$94b3o156b2o2b3o30b2o190b2o$94bob2o155bob3o$29b2o14b
o48bo3bo155bo230b2o$29b2o12b3o51b2o190bo74bobo$29b3o10bo52bob2o189b3o
73bob2o$28bo2bo10b2o51bobo190bo2bo74b2o63b2o$28b3o257bob2o71bo3bo62b2o
b2o$288b2o73bob2o63bo3bo$363b3o49b2o13b5o$150bo280b2o$148b2ob2o259b2o
$148bo2bo260bo3b2o$148bo265b2o$28b3o117b2o262b2o$28b3o118bobo110bo$29b
o120bo110b3o$261b3o$271b2o122b2o$114bo156bob3o119b3o$113b3o17bo137bob
3o118bo3bo$113bo2bo15b2o138b2o120bobobo$113bob2o16bo262bob2o$113b2o281b
2obo$323bob2o$323bo2bo$316bo7bo$140b2o174bob2o4bo3bo$138b2ob2o173bo8b
o2bo$138bo3bo182bo$138b5o$140b2o$85b2o$86bo$86bobo$87b2o$47b3o51b2o$47b
obo49b5o$46b2o2bo48bo3bo$46b2ob2o48b2ob2o246b3o$47b3o6b2o43b2o247bo3b
2o3b3o$56b3o132bo158b2o6bo$56b2o132b3o158bob3o2bobo$63b2o215bo71b3o5b
o$63bobo213b3o$65bo212bo2bo123b2o$65b2o211b2obo$280b2o122bo2bo$86bo316b
2obo8bo$8b3o76bo313b2ob2o9bo$7b2ob2o73b3o6bobo305bob2o$7b2o2bo83bo307b
o10b3o$8bobo84bo$8b3o252b2o54bo$34b4o224b2ob2o51bo$33b2o2bo224bo3bo51b
3o4bo$34bobo225b5o56b2o$35b2o226b2o59b2o63b2o$97bo290b3o$98b2o287bo3b
o$97b2o288bobobo$386b2obo$386bob2o3$b4o416b2o$bo2b2o37bo343bo31b2ob2o
$o5bo35b2o340b2obo31bo3bo$b2o2bo37bo343bo31b5o$bo419b2o3$54b3o63b2o$53b
3obo61bob3o$57b2o60bob3o267b2o$53b2o3bo60b2o270bo$56b3o333b3o$394bo15$
394bo$395bo$393b3o2$115b2o263bo$115b3o262b3o$111bobobobo265bo$112b2o2b
2o264b2o$112b5o$114b2o3$403bo$98bo295b2o8b2o$96b2ob2o249b3o41b3o6b2o$
97bo2bo248b2ob2o40b2o$100bo248b2o2bo$99b2o249bobo$97bobo250b3o$98bo$388b
2o$386b3o$385bo3bo$384b2ob3o$384b2o$386b2o34b2o$422bo$420bobo$420b2o3$
372bo$372b2o$62bo308bo2bo$52b2o7b2o307b4o$52bob2o6bo305bo3b2o$52bo2bo
312bo2bo$52b3o315bo$53bo366bobo$419b2obo$105b2o312b2o$104b2ob2o310bo3b
o$104bo3bo311b2obo$104b5o312b3o$105b2o$115bobo$116bo252bo$54b2o60bo252b
o$53bobo$53bo314b3o$52b2o2$99bo$97b2ob2o$97bo2bo90bo$97bo92b3o$97b2o$
98bobo22bo$99bo21bo2bo$121bo3b2o247b2o$88bo34b4o248b3o$89b2o33bo2bo246b
o3bo$88bo36b2o247b3ob2o$125bo252b2o$376b2o2$214bo143b2obo$213bo144bo2b
o$213b3o4bo139bo$93b2o123b2o136bo3bo$91b3obo123b2o135bo2bo$91b3obo86b
2o18bo156bo$94b2o86b3o18b2o$182b2o18b2o4$203bo$202b2o$202bobo2$194bo$
193b3o$193b3o5$95bobo$96b2o$81bo14bo$81b3o$84bo$83b2o4$52bo$51bob2o$50b
2ob2o43bo7bo$52b2obo39b2obo8bo$53bo2bo41bo6b3o2$54b2o156b2o$211b2o$213b
o137b3o65b2o$87b4o259b2ob2o47bo15b3o$87bo2b2o257b2ob3o47b3o12bo3bo$86b
o5bo256b2o54bo11bobobo$87b2o2bo258b3o51b2o10b2obo$87bo262b2o64bob2o$123b
2o227bo$123bo$121bobo202bo$121b2o173b2o27b2o$296bob2o26bo$296bo2bo$296b
3o$297bo$71b3o$70b2ob2o$70bo2b2o$71bobo$71b3o257bob2o$331bo2bo$121b2o
209bo$120bobo209bo3bo$119b2o2bo209bo2bo$120b4o209bo2$306b2o$304b3obo$
304b3obo$307b2o$147bo232b2o$69bobo75b2o212b2o18b2o$70bo75bo2bo211bo18b
o$70bo74b4o210bobo$143bo3b2o210b2o$143bo2bo$145bo200b2o50b3o$343b3obo
49bo2bo$127b3o213b3obo43bo5b3o$127bob2o214b2o44bo6b2o$127bo3bo236b3o19b
obo5b2o$75b4o51b2o238bo$74b2o2bo49bob2o237bo13b2o$73bo5bo48bobo251bob
o$74bo2b2o303bo$78bo302b2o$60bo$61b2o374b2o$60b3o288b3o83b2o$62b2o288b
o83b3o$58b3ob2o372bo2bo$58b2ob2o346b2o26b3o$59b3o$412b2o3bobo$408b2o3b
o4bo$410b2o6bo$412b2o3$82b3o$81b2ob2o$81b3ob2o$85b2o$83b3o4b3o$84b2o249b
o108b2o$83bo7bo42bo11bo188b2o106bobo$91bo41bob3o8bo188bo106b2o2bo$133b
2o2b3o303b4o$132bo2bobo7b3o$133bo$133bo94b2o$228b3o96b2o63b2o$227bo3b
o93b3o63b5o$84b2o141bobobo92bo3bo61b2o2b2o$83bobo143bob2o90b2ob3o61bo
bobobo$83bo145b2obo90b2o65b3o$82b2o241b2o64b2o$128b3o117bo$127b2obo115b
2obo58bo$126bo3bo115b2ob2o56b2o$126b2o117bob2o58bobo$126b2obo114bo2bo
$127bobo64bo$193b3o49b2o$153b3o37b3o$152bo2bo$115bo36b3o$112b2obo37b2o
$115bo37b2o7$122b4o$122bo2b2o$121bo5bo$122b2o2bo166bo$122bo168b2ob2o$
290bobo$291bobo$285bo5bo$285bo5b3o$190b2o92bobo5bo24b2o$191b3o46b3o49b
o23b2o$190bo3bo44b3obo74bo$190b3ob2o33bobo11b2o$194b2o34bo8b2o3bo$122b
o69b2o36bo11b3o$123bo$121b3o5$111bo145bo$111b3o142bob2o$114bo140b2ob2o
$113b2o142b2obo$258bo2bo$131bo$132b2o125b2o$131b2o89bo$221b3o$84b2o36b
2o97bo2bo$81b3obo36b3o96bob2o37bo$81b3obo36b2o97b2o37b2o$83b2o177bo3$
117b3o$116bob3o$115b2o$115bo3b2o132b2o$115b3o136bo$251b3o$153b2o96bo$
153bo253b3o$151bobo191b2o60bo3b2o$151b2o189b3obo60b2o$342b3obo61bob3o
$344b2o63b3o$102bo$100b2ob2o$99bobo362bo$100bobo357bo2b2o$100bo358bo5b
o$100b3o239bobo115b2o2bo$101bo241bo117b4o$101bo49b2o100bobo87bo$149b5o
99b2o$149b2o2b2o99bo$148bobobobo$152b3o$100bo51b2o$100bo164bo179bo$263b
3o163b2o11b2obo$99b3o160bo166bobo13bo$262b2o164bo2b2o$428b4o$244bo210b
3o$243bo211bobo$243b3o208bo2b2o$454b2ob2o$252bo38b4o160b3o$252bob2o34b
2o2bo$252bo38bobo$292b2o105b2o$400bo$106b3o149bo141bobo$105b3obo146bo
2bo141b2o$109b2o145bo3b2o$105b2o3bo147b4o108bo$108b3o148bo2bo100b2o5b
o45b3o$260b2o100b2ob2o48b2ob2o$260bo101bo3bo2b3o43bo2b2o$222b2o138b5o
49bobo$92b2o129bo139b2o51b3o$223bobo151b2o$91bo2bo129b2o151bobo$90b2o
bo285bo$88b2ob2o286b2o17bo$89bob2o180b3o48b2o70bobo9b3o$90bo182bob2o46b
5o69b2o9b3o$273bo3bo45bo3bo81bo$276b2o45b2ob2o$274bob2o46b2o$274bobo2$
223bo$222bob3o124b2o$222b2o2b3o120b2obo55bobo$221bo2bobo122bo2bo56b2o
$222bo127b3o56bo$222bo128bo2$275bobo$276bo38bo$276bo37bobo$316b2o$317b
o$314bo2bo37bo$313b2ob2o34b2obo$315bo39bo3$435b3o$368bobo51b2o10bo2bo
$269bo97b2obo52bo10b3o$268bo2bo95b2o51b3o12b2o$266b2o3bo95bo3bo48bo14b
2o$266b4o98b2obo$265bo2bo100b3o$266b2o$267bo4$283b2o$284b3o$283bo3bo$
283b3ob2o$287b2o$285b2o!

And here are my notes on it:

Code: Select all

x = 1029, y = 1728, rule = B3/S23-a5History
641.2A64.2A$641.2A49.A14.3A$640.3A49.3A8.A.A.A.A$640.A2.A51.A8.2A2.2A
$641.3A50.2A8.5A$706.2A2$586.A$585.2A48.A$584.A2.A46.2A$585.4A46.A53.
2A$585.2A3.A99.2A$587.A2.A98.A$588.A5$623.A$620.3A.A53.A.3A$618.3A2.2A
54.A.A$620.A.A2.A53.A.2A$624.A$624.A$595.A.A$595.A.2A$597.2A$594.A3.A
$594.A.2A$594.3A$651.2A$651.A$649.A.A$649.2A$633.3A$633.A.2A$633.A3.A
$636.2A$634.A.2A$634.A.A$671.A$669.2A.2A$670.A2.A$673.A$672.2A$670.A.
A14.3A$671.A14.3A.A37.3A$690.2A33.2A3.A$686.2A3.A37.2A$689.3A33.3A.A$
726.3A$700.A$698.2A.2A$701.A.A$615.A84.A.A22.A$614.3A85.A21.2A$614.3A
83.3A22.A$701.A94.3A$701.A93.2A.2A$795.A2.2A$796.A.A$796.3A$733.2A2$732.
A2.A43.4A$733.A.2A42.A2.2A$734.2A.2A41.A.A$615.A118.2A.A42.2A$616.2A118.
A$615.3A$617.2A9.2A$613.3A.2A9.A53.2A$613.2A.2A11.3A48.3A.A$614.3A14.
A48.3A.A$683.2A2$787.A$786.3A$786.3A4$733.2A2$736.2A$732.2A3.A$734.2A
$670.A65.2A131.3A48.A15.3A$669.3A196.2A.2A47.3A10.2A3.A$868.A2.2A50.A
13.2A$784.3A82.A.A50.2A9.3A.A$784.A2.A81.3A62.3A$785.3A$785.2A28.A$785.
2A25.A2.A53.A$812.A3.A49.2A.A$816.A52.A$814.A2.A$735.2A77.2A.A$734.A.
A$734.A$733.2A2$767.4A79.A56.2A3.A$766.2A2.A77.A2.A55.A.2A.A$767.A.A78.
A3.2A55.A.A$768.2A80.4A54.A$804.A46.A2.A54.3A$804.A47.2A55.3A$803.3A46.
A56.2A$803.A105.2A$751.2A7.A42.A.A19.2A82.2A$751.A.A6.2A40.A.A18.3A$751.
A8.A42.2A.2A14.A3.A$805.A15.2A.3A$821.2A$823.2A54.2A$879.A$877.A.A$773.
2A87.2A13.2A$773.A86.2A$774.3A83.2A.3A49.A.2A$776.A84.A3.A49.2A.A$761.
2A99.3A51.A.A.A$760.2A102.2A50.A3.A$762.A154.3A$918.2A$901.2A$900.A.A
$900.A$899.2A$957.2A$956.3A$955.A3.A$843.A111.A.A.A$843.A110.2A.A$842.
A.A83.A25.A.2A$927.A.2A$926.2A.2A$928.2A.A$929.A2.A$762.A$762.3A165.2A
$765.A189.A.A$764.2A190.A$956.A4$732.A228.2A$732.A36.2A192.2A$731.A2.
A.A31.3A190.A3.2A$573.3A156.2A2.3A30.2A190.2A$573.A.2A155.A.3A$508.2A
14.A48.A3.A155.A230.2A$508.2A12.3A51.2A190.A74.A.A$508.3A10.A52.A.2A189.
3A73.A.2A$507.A2.A10.2A51.A.A190.A2.A74.2A63.2A$507.3A257.A.2A71.A3.A
62.2A.2A$767.2A73.A.2A63.A3.A$842.3A49.2A13.5A$629.A280.2A$627.2A.2A259.
2A$627.A2.A260.A3.2A$627.A265.2A$507.3A117.2A262.2A$507.3A118.A.A110.
A$508.A120.A110.3A$740.3A$750.2A122.2A$593.A156.A.3A119.3A$592.3A17.A
137.A.3A118.A3.A$592.A2.A15.2A138.2A120.A.A.A$592.A.2A16.A262.A.2A$592.
2A281.2A.A$802.A.2A$802.A2.A$795.A7.A$619.2A174.A.2A4.A3.A$617.2A.2A173.
A8.A2.A$617.A3.A182.A$617.5A$619.2A$564.2A$565.A$565.A.A$566.2A$526.3A
51.2A$526.A.A49.5A$525.2A2.A48.A3.A$525.2A.2A48.2A.2A246.3A$526.3A6.2A
43.2A247.A3.2A3.3A$535.3A132.A158.2A6.A$535.2A132.3A158.A.3A2.A.A$542.
2A215.A71.3A5.A$542.A.A213.3A$544.A212.A2.A123.2A$544.2A211.2A.A$759.
2A122.A2.A$565.A316.2A.A8.A$487.3A76.A313.2A.2A9.A$486.2A.2A73.3A6.A.
A305.A.2A$486.2A2.A83.A307.A10.3A$487.A.A84.A$487.3A252.2A54.A$513.4A
224.2A.2A51.A$512.2A2.A224.A3.A51.3A4.A$513.A.A225.5A56.2A$514.2A226.
2A59.2A63.2A$576.A290.3A$577.2A287.A3.A$576.2A288.A.A.A$865.2A.A$865.
A.2A3$480.4A416.2A$480.A2.2A37.A343.A31.2A.2A$479.A5.A35.2A340.2A.A31.
A3.A$480.2A2.A37.A343.A31.5A$480.A419.2A3$533.3A63.2A$532.3A.A61.A.3A
$536.2A60.A.3A267.2A$532.2A3.A60.2A270.A$535.3A333.3A$873.A15$873.A$874.
A$872.3A2$594.2A263.A$594.3A262.3A$590.A.A.A.A265.A$591.2A2.2A264.2A$
591.5A$593.2A3$882.A$577.A295.2A8.2A$575.2A.2A249.3A41.3A6.2A$576.A2.
A248.2A.2A40.2A$579.A248.2A2.A$578.2A249.A.A$576.A.A250.3A$577.A$867.
2A$865.3A$864.A3.A$863.2A.3A$863.2A$865.2A34.2A$901.A$899.A.A$899.2A3$
851.A$851.2A$541.A308.A2.A$531.2A7.2A307.4A$531.A.2A6.A305.A3.2A$531.
A2.A312.A2.A$531.3A315.A$532.A366.A.A$898.2A.A$192.D4.2D.D.D.2D378.2A
312.2A$193.D2.D.D.D.D.D.D376.2A.2A310.A3.A$191.3D3.2D2.2D.D.D376.A3.A
311.2A.A$198.D384.5A312.3A$196.2D386.2A$594.A.A$595.A252.A$533.2A60.A
252.A$532.A.A$173.3A356.A314.3A$173.A.2A354.2A$173.A3.A$176.2A400.A$174.
A.2A398.2A.2A$174.A.A399.A2.A90.C$576.A92.3C$576.2A$193.A383.A.A22.A$
193.A384.A21.A2.A$189.A.A2.A405.A3.2A247.2A$187.3A2.2A373.A34.4A248.3A
$189.3A.A374.2A33.A2.A246.A3.A$192.A374.A36.2A247.3A.2A$604.A252.2A$855.
2A2$693.C143.2A.A$692.C144.A2.A$692.3C4.C139.A$572.2A123.2C136.A3.A$570.
3A.A123.2C135.A2.A$570.3A.A86.2C18.C156.A$573.2A86.3C18.2C153.3B$661.
2C18.2C4$237.A444.C$185.A47.A2.2A443.2C$185.2A45.A5.A442.C.C$185.A47.
2A2.A$234.4A435.C$186.A485.3C$184.2A486.3C$184.3A$183.2A$183.2A.3A$184.
2A.2A$185.3A386.A.A$575.2A$560.A14.A$560.3A$235.2A326.A$235.A.A324.2A
$237.A$237.2A$200.A$200.A330.A$199.A2.A.A325.A.2A$200.2A2.3A322.2A.2A
43.A7.A$200.A.3A326.2A.A39.2A.A8.A$201.A330.A2.A41.A6.3A2$533.2A156.2C
$168.2A520.2C$166.2A34.A489.C137.3A65.2A$164.2A3.A31.2A363.4A259.2A.2A
47.A15.3A$168.2A32.A363.A2.2A257.2A.3A47.3A12.A3.A$565.A5.A256.2A54.A
11.A.A.A$40.2D.D.D.2D116.2A399.2A2.A258.3A51.2A10.2A.A$34.3D2.D.D.D.D
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4A123.2A401.A.A202.A$69.2A2.A124.A11.2A388.2A173.2A27.2A$70.A.A122.3A
11.A.A563.A.2A26.A$71.2A122.A15.A563.A2.A$775.3A$776.A$550.3A$549.2A.
2A$55.2A492.A2.2A$55.2A493.A.A$55.3A492.3A257.A.2A$54.A2.A752.A2.A$54.
3A543.2A209.A$200.2A397.A.A209.A3.A$201.2A395.2A2.A209.A2.A$200.A398.
4A209.A2$785.2A$783.3A.A$783.3A.A$786.2A$626.A232.2A$209.A338.A.A75.2A
212.2A18.2A$207.3A339.A75.A2.A211.A18.A$206.A342.A74.4A210.A.A$206.2A
414.A3.2A210.2A$622.A2.A$8.2A614.A200.2A50.3A$8.3A31.2A778.3A.A49.A2.
A$7.A3.A30.3A561.3A213.3A.A43.A5.3A$7.A.A.A30.2A194.A367.A.2A214.2A44.
A6.2A$9.A.2A179.2A44.A2.A364.A3.A236.3A19.A.A5.2A$9.2A.A179.3A42.A3.A
312.4A51.2A238.A$192.2A43.A315.2A2.A49.A.2A237.A13.2A$236.A2.A312.A5.
A48.A.A251.A.A$63.2A137.A33.A.2A313.A2.2A303.A$61.2A139.A354.A302.2A$
59.2A3.A136.3A335.A$63.2A136.A338.2A374.2A$201.A.A335.3A288.3A83.2A$60.
2A138.A.A338.2A288.A83.3A$201.2A.2A331.3A.2A372.A2.A$11.2A190.A333.2A
.2A346.2A26.3A$10.A.A525.3A$10.A880.2A3.A.A$9.2A876.2A3.A4.A$889.2A6.
A$55.2A834.2A$55.2A$54.3A117.3A41.2A$54.A2.A116.3A40.3A341.3A$55.3A117.
A41.A.A.A.A336.2A.2A$217.2A2.2A337.3A.2A$79.2A137.5A341.2A$77.5A85.A51.
2A341.3A4.3A$64.2A11.2A2.2A83.A.A394.2A249.A108.2A$63.3A10.A.A.A.A85.
2A60.A331.A7.A42.A11.A188.2A106.A.A$64.2A14.3A86.A59.3A338.A41.A.3A8.
A188.A106.2A2.A$80.2A84.A2.A59.3A380.2A2.3A303.4A$165.2A.2A441.A2.A.A
7.3A$167.A444.A$612.A94.2A$707.3A96.2A63.2A$51.2A653.A3.A93.3A63.5A$563.
2A141.A.A.A92.A3.A61.2A2.2A$50.A2.A508.A.A143.A.2A90.2A.3A61.A.A.A.A$
49.2A.A7.A501.A145.2A.A90.2A65.3A$47.2A.2A5.2A.A500.2A241.2A64.2A$48.
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2A117.A.2A58.A.A$605.2A.A114.A2.A$606.A.A64.A$213.A458.3A49.2A$213.A418.
3A37.3A$212.3A416.A2.A$214.A379.A36.3A$212.A.A376.2A.A37.2A$213.A.A378.
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368.4A$41.A23.2A.A158.2A3.A368.A2.2A$40.2A23.4A161.3A367.A5.A$66.A3.A
530.2A2.A166.A$71.A2.A526.A168.2A.2A$65.2A3.2A2.A694.A.A$63.A.A5.A698.
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92.A.A5.A24.2A$7.3A.2A49.A607.3A46.3A49.A23.2A$11.2A656.A3.A44.3A.A74.
A$9.3A657.3A.2A33.A.A11.2A$10.2A661.2A34.A8.2A3.A$9.A591.A69.2A36.A11.
3A$45.2A555.A$43.3A.A552.3A$43.3A.A$46.2A2$80.2A$80.A509.A145.A$78.A.
A509.3A142.A.2A$78.2A513.A140.2A.2A$592.2A142.2A.A$737.A2.A$29.A580.A
$29.A2.A578.2A125.2A$28.A3.A577.2A89.A$28.A671.3A$27.A2.A532.2A36.2A97.
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A$77.2A$78.3A$77.A3.A514.3A$77.3A.2A512.A.3A$81.2A511.2A$79.2A513.A3.
2A132.2A$594.3A136.A$730.3A$632.2A96.A$632.A253.3A$630.A.A191.2A60.A3.
2A$630.2A189.3A.A60.2A$821.3A.A61.A.3A$823.2A63.3A$581.A$579.2A.2A$578.
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A15.2A545.A241.A117.4A$17.A14.A.3A543.A49.2A100.A.A87.A$32.A.3A591.5A
99.2A$32.2A594.2A2.2A99.A$627.A.A.A.A$631.3A$17.A561.A51.2A$16.3A560.
A164.A179.A$16.A2.A722.3A163.2A11.2A.A$16.A.2A558.3A160.A166.A.A13.A$
16.2A723.2A164.A2.2A$907.4A$723.A210.3A$722.A211.A.A$722.3A208.A2.2A$
933.2A.2A$731.A38.4A160.3A$731.A.2A34.2A2.A$731.A38.A.A$771.2A105.2A$
879.A$585.3A149.A141.A.A$584.3A.A146.A2.A141.2A$588.2A145.A3.2A$584.2A
3.A147.4A108.A$587.3A148.A2.A100.2A5.A45.3A$739.2A100.2A.2A48.2A.2A$739.
A101.A3.A2.3A43.A2.2A$701.2A138.5A49.A.A$571.2A129.A139.2A51.3A$702.A
.A151.2A$570.A2.A129.2A151.A.A$569.2A.A285.A$567.2A.2A286.2A17.A$568.
A.2A180.3A48.2A70.A.A9.3A$569.A182.A.2A46.5A69.2A9.3A$752.A3.A45.A3.A
81.A$755.2A45.2A.2A$753.A.2A46.2A$753.A.A2$702.A$701.A.3A124.2A$701.2A
2.3A120.2A.A55.A.A$700.A2.A.A122.A2.A56.2A$701.A127.3A56.A$701.A128.A
2$754.A.A$755.A38.A$755.A37.A.A$795.2A$796.A$793.A2.A37.A$792.2A.2A34.
2A.A$794.A39.A3$914.3A$847.A.A51.2A10.A2.A$748.A97.2A.A52.A10.3A$747.
A2.A95.2A51.3A12.2A$745.2A3.A95.A3.A48.A14.2A$745.4A98.2A.A$744.A2.A100.
3A$745.2A$746.A4$762.2A$763.3A$762.A3.A$762.3A.2A$766.2A$764.2A35$376.
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304.2A.A.2A73.D2.D11.D$303.A4.A2.A72.D2.D$302.A4.A4.A59.2D.D.D.2D2.3D
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$296.A105.C$295.A106.3C4.C$295.3A4.A37.3A64.2C$300.2A38.3A65.2C101.2A
$301.2A38.A29.2C18.C119.A$371.3C18.2C118.A$371.2C18.2C118.2A4$316.3A73.
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$311.3A68.3C131.3A$311.2A22.2A45.3C131.A2.A$334.A2.A180.2A$335.A.A$336.
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24.8D8.8D56.8D8.24D$328.8D40.8D72.8D24.8D8.8D56.8D8.24D$328.8D40.8D72.
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16D$264.24D8.16D16.8D16.16D8.8D8.16D24.16D8.8D24.24D16.16D16.8D16.24D
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24D16.16D16.8D16.24D8.24D32.16D8.8D8.8D8.16D$264.24D8.16D16.8D16.16D8.
8D8.16D24.16D8.8D24.24D16.16D16.8D16.24D8.24D32.16D8.8D8.8D8.16D$264.
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16.8D16.24D8.24D32.16D8.8D8.8D8.16D$264.24D8.16D16.8D16.16D8.8D8.16D24.
16D8.8D24.24D16.16D16.8D16.24D8.24D32.16D8.8D8.8D8.16D$264.24D8.16D16.
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24.8D24.8D8.8D8.8D8.8D24.8D8.8D8.8D8.8D8.8D8.8D$264.8D8.8D8.8D8.8D8.8D
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8.8D$264.8D8.8D8.8D8.8D8.8D8.8D8.8D8.8D8.8D8.8D8.8D8.8D8.8D40.8D8.8D24.
8D24.8D8.8D8.8D8.8D24.8D8.8D8.8D8.8D8.8D8.8D$264.8D8.8D8.8D8.8D8.8D8.
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8.8D8.8D8.8D8.8D$264.8D8.8D8.8D8.8D8.8D8.8D8.8D8.8D8.8D8.8D8.8D8.8D8.
8D40.8D8.8D24.8D24.8D8.8D8.8D8.8D24.8D8.8D8.8D8.8D8.8D8.8D$264.24D8.8D
24.8D16.16D8.8D8.8D8.8D16.16D8.8D40.8D16.16D8.8D24.24D8.24D32.16D16.16D
8.8D8.8D$264.24D8.8D24.8D16.16D8.8D8.8D8.8D16.16D8.8D40.8D16.16D8.8D24.
24D8.24D32.16D16.16D8.8D8.8D$264.24D8.8D24.8D16.16D8.8D8.8D8.8D16.16D
8.8D40.8D16.16D8.8D24.24D8.24D32.16D16.16D8.8D8.8D$264.24D8.8D24.8D16.
16D8.8D8.8D8.8D16.16D8.8D40.8D16.16D8.8D24.24D8.24D32.16D16.16D8.8D8.
8D$264.24D8.8D24.8D16.16D8.8D8.8D8.8D16.16D8.8D40.8D16.16D8.8D24.24D8.
24D32.16D16.16D8.8D8.8D$264.24D8.8D24.8D16.16D8.8D8.8D8.8D16.16D8.8D40.
8D16.16D8.8D24.24D8.24D32.16D16.16D8.8D8.8D106.3A$264.24D8.8D24.8D16.
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24.24D8.24D32.16D16.16D8.8D8.8D104.A3.A$360.8D312.8D168.2A$360.8D312.
8D168.2A.A$360.8D312.8D169.A.A$360.8D312.8D$360.8D312.8D$360.8D312.8D
152.A$360.8D312.8D152.A$360.8D312.8D151.A2.A.A$344.16D304.16D160.2A2.
3A$344.16D304.16D160.A.3A$344.16D304.16D161.A$344.16D304.16D$344.16D304.
16D$344.16D304.16D$344.16D304.16D$344.16D304.16D10$796.A$796.2A2.A37.
A$795.A5.A35.2A$796.A2.2A37.A$796.4A$847.A$848.2A$847.3A$849.2A$845.3A
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12.A3.A$113.A54.A11.A$113.3A51.2A10.A2.A614.2A$114.A64.A.2A613.A.A$114.
A681.A$795.2A$113.2A718.A$59.3A51.3A717.A$58.2A.2A50.2A714.A.A2.A$58.
2A2.A764.3A2.2A94.2A$59.A.A767.3A.A94.A.3A48.A14.3A$59.3A770.A95.A.3A
48.3A11.2A.2A$929.2A53.A9.2A.3A$983.2A9.2A$153.A710.2A129.3A$152.A.3A
684.A24.2A8.A118.2A$95.3A56.A2.A683.2A21.A3.2A5.A.2A118.A$94.A2.A55.2A
2.A683.A22.2A8.2A.2A13.A$94.3A55.2A2.2A718.2A.A9.2A.A$95.2A55.A2.2A710.
2A8.A2.A11.A$95.2A54.A3.A$152.2A.A722.2A$153.A.A$69.2A83.2A679.2A$69.
A.A763.A$68.A2.2A763.3A72.A$68.4A766.A72.A$910.3A$124.2A784.A$124.A785.
A.A$122.A.A784.A.A$122.2A786.2A.2A$912.A$107.4A773.3A$107.A2.2A720.2A
49.A.3A$108.A.A585.2A134.A.A47.2A$108.2A34.2A551.A134.A49.A3.2A$142.2A
550.3A185.3A$142.2A.3A546.A$143.A3.A792.2A$144.3A793.A$146.2A790.A.A$
162.A775.2A$161.3A$160.A2.A594.A162.3A52.A.A$160.2A.A37.2A553.2A.A64.
A96.A3.2A48.2A.A$87.3A72.2A35.2A.A553.2A.2A63.3A15.2A77.2A52.2A$199.A
2.A552.A.2A68.A13.2A79.A.3A48.A3.A16.3A$88.A111.3A551.A2.A68.2A15.A79.
3A50.2A.A16.3A$88.A112.A652.3A120.3A17.A$175.2A578.2A97.4A104.2A$172.
3A.A677.2A.2A87.A14.A.A$172.3A.A679.A89.2A13.A$174.2A619.A149.A.A12.2A
$201.A536.3A51.A2.A49.4A.A165.3A$201.A536.A3.2A48.A3.A48.4A2.3A161.2A
.A$738.2A56.A48.4A.A82.A80.A3.A$200.3A536.A.3A50.A2.A135.A80.2A$740.3A
51.2A.A33.A101.A.A78.2A.A$831.A97.A.A3.A79.A.A$830.3A97.6A34.A17.A$207.
2A623.A96.A.A2.A34.3A16.A$205.2A.2A620.A.A24.3A70.A.A36.3A15.A2.A.A$205.
A3.A621.A.A23.3A70.A.A55.2A2.3A$205.5A618.2A.2A25.A66.2A2.2A57.A.3A$207.
2A621.A100.2A56.A$931.4A.A.2A$928.2A2.2A.A.A$90.2A9.2A51.A774.5A5.3A$
88.2A11.A13.2A36.A.3A771.3A2.A2.A$86.2A3.A10.3A8.5A35.2A2.3A772.2A.A.
3A84.A$90.2A12.A8.A3.A34.A2.A.A774.A.A.2A84.A2.A$113.2A.2A35.A660.2A111.
A7.A86.A3.2A$87.2A26.2A36.A541.2A117.3A110.A.2A3.A89.4A$694.3A49.2A62.
A.A.A.A110.A97.A2.A$694.A.A.A.A45.3A62.2A2.2A209.2A$694.2A2.2A46.2A63.
5A210.A$695.5A113.2A51.A$696.2A49.A117.A.A37.2A$98.2A647.A116.2A38.5A
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.A60.3A$98.3A645.A.A115.2A.2A34.3A64.2A$99.A647.A.A116.A37.2A64.2A$744.
2A.2A$746.A2$882.A$696.2A185.A$695.A.A105.A77.3A$695.A106.3A$142.3A549.
2A106.3A98.A$142.3A756.2A$143.A587.3A168.2A$728.2A3.A$732.2A$728.3A.A
$54.A674.3A88.A$51.A2.A28.A736.A$51.A3.A24.2A.A735.3A$55.A27.A680.2A53.
A$53.A2.A673.2A31.A.3A51.A.A$53.2A.A672.3A31.A.3A50.A.A$730.2A31.2A54.
2A.2A$821.A$106.2A$104.3A.A787.A$104.3A.A694.3A89.2A$107.2A693.A.3A88.
A.A$734.2A65.2A$721.2A11.A66.A3.2A$720.2A13.3A63.3A$55.2A665.A14.A$54.
A.A$54.A$53.2A3$90.2A804.3A64.3A$88.2A.A804.A3.2A60.2A.2A$88.A2.A804.
2A64.2A2.A$89.3A805.A.3A61.A.A$90.A639.3A165.3A62.3A$125.A604.A$122.3A
.A604.A287.A$112.A7.3A2.2A892.A2.A$112.A.2A6.A.A2.A793.A96.A3.A$112.A
13.A794.2A5.2A88.A$126.A794.A5.4A86.A2.A$925.2A90.A.2A$924.A.A.2A.A$723.
A199.A.A.A2.2A$723.3A196.2A.2A3.A.A$93.2A631.A195.2A.3A.A3.A$93.A631.
2A196.A4.A.A.A51.A$94.3A826.3A.5A51.A2.A$96.A826.3A55.2A3.A$926.2A53.
4A$923.A2.3A51.A2.A$922.A2.A3.A33.A.A15.2A$694.2A42.A184.A.2A37.A17.A
$694.2A42.A.2A182.3A.3A33.A$671.3A20.3A41.A186.3A80.2A$670.2A.2A18.A2.
A229.2A81.3A$670.A2.2A18.3A312.A3.A$671.A.A334.3A.2A$671.3A55.A.A280.
2A$729.A.2A207.A13.2A54.2A$731.2A208.2A12.A$654.4A70.A3.A207.2A13.A.A
$654.A2.2A69.A.2A224.2A13.2A18.A$655.A.A4.A65.3A242.2A16.A$655.2A4.3A
252.2A.A49.3A.2A15.A.A$661.3A252.A.2A49.A3.A$914.A.A.A51.3A$82.A831.A
3.A50.2A$82.3A830.3A$85.A671.A157.2A$84.2A17.3A609.A41.A174.2A$103.A611.
A216.A.A$104.A606.A.A2.A39.3A175.A$110.2A597.3A2.2A218.2A$98.A10.A2.A
598.3A.A160.2A$53.A45.A9.A2.A601.A50.A110.3A$51.2A.2A41.A.A8.2A.2A650.
2A110.A3.A$54.A.A41.2A.A.3A3.2A590.3A59.3A109.A.A.A$53.A.A42.A.2A.2A160.
2A495.2A113.A.2A$55.A46.3A160.2A341.2A92.A59.2A.3A109.2A.A25.A$53.3A209.
3A434.A60.2A.2A136.2A.A$54.A209.A2.A343.2A151.3A137.2A.2A$54.A209.3A340.
2A3.A290.A.2A$89.2A518.2A291.A2.A$89.A.A191.2A326.2A$88.A2.2A810.2A$88.
4A188.2A$280.A3.2A373.3A$282.2A375.A2.A$280.2A378.3A$660.2A$660.2A$872.
2A$870.2A14.A$868.2A3.A11.2A$72.2A536.2A260.2A12.A$72.2A53.A481.A.A$71.
3A51.A.A481.A108.A.A148.2A$71.A2.A51.2A480.2A6.2A99.2A.A64.A.A201.A.A
$72.3A541.A.A98.2A66.2A190.2A9.2A.A$616.A25.4A71.A3.A64.A136.2A53.A9.
2A$641.2A2.A72.2A.A199.2A.2A49.3A10.A3.A$121.2A519.A.A74.3A199.A3.A49.
A13.2A.A$123.2A518.2A276.5A64.3A$121.A3.2A201.A350.A23.A219.2A$121.2A
203.2A.A349.A22.A2.A$282.A43.2A.2A347.3A19.2A3.A86.A$124.2A156.A.2A39.
A.2A349.A21.4A87.A$142.3A137.A41.A2.A296.3A.2A48.A.A18.A2.A88.3A4.A$142.
3A480.A.A.A47.A.A20.2A94.2A$143.A181.2A301.2A48.2A.2A18.A95.2A$625.4A
51.A$275.A.2A348.A$275.2A.A$276.A.A.A$276.A3.A$277.3A368.2A$278.2A368.
A150.A65.4A$649.3A145.2A.2A63.A2.2A$651.A148.A.A63.A.A$326.2A471.A.A64.
2A$326.A.A472.A$77.2A249.A470.3A$62.A13.A.A212.2A35.2A470.A118.2A$62.
A.2A9.2A2.A720.A120.2A$62.A13.4A214.2A621.3A.2A$290.2A3.A514.2A105.A3.
A$292.2A515.3A106.3A$60.3A231.2A514.2A105.2A$60.A.A194.A$59.2A2.A192.
A.A$59.2A.2A194.2A$60.3A196.A$256.A2.A27.A$255.2A.2A24.2A.A$257.A29.A
596.A.A$884.A.2A$557.2A327.2A$557.A.3A75.A245.A3.A$557.A.3A75.3A243.A
.2A4.3A$558.2A80.A242.3A6.A18.A$288.2A349.2A268.A2.A$289.A535.3A81.A3.
2A$286.3A536.3A83.4A$286.A255.A283.A85.A2.A$539.A2.A370.2A$539.A3.A63.
A305.A$543.A63.A247.2A$541.A2.A61.A2.A.A244.A$294.3A244.2A.A62.2A2.3A
242.A.A$296.A310.A.3A229.A.A13.2A$295.A312.A233.2A21.A8.A$643.A176.2A
20.A21.3A7.2A$56.2A57.3A498.A25.3A228.A2.A$117.A497.3A24.A2.A173.A2.A
49.4A$53.2A61.A485.A12.3A24.A.2A172.2A.A48.A3.2A$53.A3.2A63.A436.A.A38.
2A.2A37.2A172.2A.2A49.A2.A$55.2A63.2A.2A435.A39.A2.A213.A.2A51.A$53.2A
65.A2.A436.A39.A217.A14.2A$120.A479.2A231.A.A18.A$120.2A163.A315.A.A231.
A19.A$121.A.A161.2A315.A176.A55.2A16.3A$3A119.A161.A.A491.A.2A$A.2A296.
A476.2A.2A$A3.A293.3A195.A282.2A.A$3.2A292.A197.2A283.A2.A$.A.2A292.2A
195.A2.A127.2A$.A.A52.A35.3A400.4A126.A.3A151.2A$56.A34.A2.A400.2A3.A
124.A.3A$91.A3.A401.A2.A125.2A179.3A$55.3A32.2A2.A403.A305.2A3.A$37.A
54.A.A234.A478.2A$35.2A56.A.2A180.A47.A2.2A220.2A125.A.2A123.3A.A$35.
3A55.A.2A181.2A44.A5.A217.3A126.A2.A124.3A$34.2A57.3A181.A47.2A2.A217.
A3.A108.A17.A$34.2A.3A286.4A216.2A.3A108.A.2A14.A3.A$35.2A.2A506.2A112.
A18.A2.A$36.3A48.A460.2A129.A$87.A.A7.A194.A.2A$9.A77.2A7.2A194.A2.A202.
2A270.2A.A$8.A.3A82.A2.A194.A203.A.A270.A.2A$8.2A2.3A278.A3.A199.A108.
2A160.A.A.A25.2A$7.A2.A.A81.2A198.A2.A198.2A106.5A159.A3.A25.3A$8.A285.
A238.A70.2A2.2A159.3A26.2A$8.A256.A.A265.A2.A66.A.A.A.A159.2A$65.2A199.
A94.2A142.A26.A3.A70.3A$65.A200.A94.3A141.A26.A74.2A217.A65.A$63.A.A294.
A3.A139.A.A24.A2.A290.3A50.2A9.3A.A$63.2A37.A257.A.A.A166.A.2A289.A2.
A51.A7.3A2.2A$47.A54.A206.2A51.A.2A458.2A.A48.3A10.A.A2.A$47.A53.3A203.
2A53.2A.A460.2A48.A16.A$46.A2.A.A49.A205.2A.3A252.4A65.A258.A$47.2A2.
3A47.A.A204.A3.A68.A182.2A2.A64.3A$47.A.3A48.A.A206.3A67.2A.A122.2A.2A
2.A.4A45.A5.A62.A2.A$48.A52.2A.2A205.2A66.2A.2A121.A2.2A.2A4.A46.A2.2A
63.2A.A$103.A274.A.2A123.A2.A6.2A51.A65.2A$87.2A170.A117.A2.A125.3A$28.
3A55.A.A169.A2.A244.A.2A.A$86.A169.2A3.A116.2A127.2A.2A$29.A55.2A169.
4A248.A.A7.A.A$29.A112.A112.A2.A250.2A8.2A15.2A$140.2A.2A87.A23.2A261.
A16.A80.2A$139.A.A88.A.A24.A279.3A76.2A.2A$140.A.A88.2A88.A217.A76.A3.
A59.A.A$140.A180.A294.5A59.2A$140.3A177.A.A294.2A62.A$114.2A25.A95.A$
113.3A25.A94.A.A$113.A.A.A.A116.A2.A$113.2A2.2A118.4A$114.5A120.A289.
A$115.2A108.A304.A150.A5.A90.3A$226.A301.3A149.A5.A91.A.2A$224.3A199.
A253.3A3.3A4.A19.2A63.A3.A$376.A47.2A.2A262.2A20.2A66.2A$376.2A45.A.A
266.2A19.3A63.A.2A$376.A47.A.A285.A2.A63.A.A$142.A5.3A151.2A.A118.A287.
3A$142.A.A2.3A.A150.A2.A118.3A$144.A6.2A151.A120.A$141.3A3.2A3.A147.A
3.A68.3A49.A408.A$150.3A147.A2.A68.3A.A455.2A.2A$303.A72.2A147.A306.A
2.A$372.2A3.A147.3A304.A$375.3A150.A303.2A$29.4A9.2A50.2A.A429.2A304.
A.A$29.A2.2A8.A51.A2.A221.2A513.A$28.A5.A8.3A50.A221.A.3A$29.2A2.A11.
A46.A3.A221.A.3A101.2A$29.A62.A2.A222.2A104.A.A285.3A83.A$95.A330.A285.
3A82.3A22.A$390.A35.2A68.A24.A191.A83.A2.A20.2A$389.A.2A101.2A.2A19.2A
.A275.A.2A21.A$388.2A.2A102.A2.A22.A275.2A$390.2A.A104.A$391.A2.A102.
2A$495.A.A$392.2A102.A327.2A$355.A177.2A287.2A.2A$354.3A174.2A289.A3.
A$354.A2.A171.2A3.A287.5A$354.A.2A31.A143.2A289.2A$354.2A32.2A379.2A$
389.A140.2A238.A$770.A.A$771.2A$731.3A51.2A$731.A.A49.5A$134.2A594.2A
2.A48.A3.A$134.A.3A63.3A181.2A129.2A211.2A.2A48.2A.2A$134.A.3A62.2A.2A
181.A128.3A212.3A51.2A$135.2A63.2A.3A178.3A128.A3.A$200.2A182.A12.2A116.
A.A.A$201.3A192.A.A115.2A.A229.2A$82.A118.2A195.A115.A.2A229.A.A$81.A
.2A118.A545.A$80.2A.2A479.2A183.2A$82.2A.A$83.A2.A439.A36.A2.A$526.A.
2A34.A.2A124.3A$84.2A440.A38.2A.2A121.2A.2A$565.2A.A122.2A2.A$567.A124.
A.A$692.3A80.A$117.A269.2A329.4A54.A$117.A270.2A327.2A2.A52.3A.A.A$93.
A22.3A83.3A182.A330.A.A58.A$93.2A21.A85.3A514.2A58.A$93.A22.A.A84.A$115.
A.A$116.2A.2A$118.A279.A$90.3A303.3A$89.A.3A301.A390.A$88.2A305.2A390.
2A$88.A3.2A591.4A97.2A$88.3A594.A2.2A42.A$519.2A163.A5.A40.2A$146.2A373.
2A162.2A2.A42.A$146.A372.A3.2A160.A$144.A.A232.2A43.4A91.2A$144.2A233.
3A41.2A2.A$379.2A43.A.A95.2A214.3A51.2A10.2A$127.3A52.A.A240.2A310.3A
.A51.A9.A.3A$127.A3.2A48.2A.A318.3A235.2A47.3A10.A.3A$127.2A52.2A208.
A111.A2.A230.2A3.A47.A12.2A$128.A.3A48.A3.A203.A2.A111.3A233.3A$129.3A
50.2A.A203.A3.2A109.2A$183.3A205.4A109.2A$168.2A222.A2.A$167.A.A223.2A
$167.A225.A$166.2A$222.3A$221.2A.A$220.A3.A$220.2A141.3A$220.2A.A139.
3A$221.A.A140.A41.3A$194.A211.A.2A$194.A211.A3.A$136.2A.A53.A2.A.A210.
2A$137.A.A54.2A2.3A206.A.2A$136.3A.A53.A.3A208.A.A$195.A$356.A$337.A17.
A.3A$335.A.A17.2A2.3A57.A$336.2A16.A2.A.A58.3A154.A.A$230.A124.A62.3A
154.2A$129.A98.A2.A123.A220.A$127.2A99.A3.2A379.3A64.3A$128.2A53.A46.
4A379.A3.2A60.2A.2A$183.2A46.A2.A108.A.A267.2A64.2A2.A$183.A48.2A110.
2A268.A.3A61.A.A$232.A111.A270.3A62.3A$330.A245.A5.A$111.2A218.A237.A
5.A5.A154.A$110.5A8.2A50.3A151.3A236.A6.3A3.3A4.A138.A8.A2.A$109.2A2.
2A8.A51.A2.A389.3A15.2A139.A.2A4.A3.A$109.A.A.A.A8.3A49.3A162.A245.2A
138.A7.A$109.3A14.A49.2A164.2A390.A2.A$110.2A64.2A163.2A391.A.2A2$402.
A$401.A2.A$399.2A3.A$399.4A298.A$398.A2.A298.A2.A$399.2A297.2A3.A$400.
A297.4A$697.A2.A$698.2A$699.A$416.2A$417.3A305.2A$416.A3.A305.3A$416.
3A.2A303.A3.A$420.2A303.3A.2A$418.2A309.2A$671.2A54.2A$614.3A55.A$614.
3A55.A.A$615.A57.2A13.2A$690.2A$633.2A.A49.3A.2A$633.A.2A49.A3.A$631.
A.A.A51.3A$631.A3.A50.2A$632.3A$632.2A$649.2A$649.A.A$651.A$234.2A415.
2A$236.2A355.2A$232.3A.2A355.3A$232.A3.A355.A3.A$233.3A64.3A289.A.A.A
$232.2A65.2A.2A290.A.2A75.A$299.A2.2A290.2A.A25.A48.2A10.2A$300.A.A318.
2A.A47.A.A8.A$300.3A318.2A.2A$180.A439.A.2A$178.2A.2A436.A2.A56.4A$181.
A.A495.A.A$180.A.A437.2A$182.A494.2A.3A$180.3A459.A33.5A$181.A459.3A32.
A.A.A.A$181.A459.3A32.6A$677.A.2A.A$188.A27.A460.2A2.A$188.A26.A.A371.
2A87.3A$187.A.A24.2A371.2A90.A$214.A370.2A3.A$214.A2.A371.2A$214.2A.2A
$216.A369.2A$300.A.A403.A.A$189.2A110.A392.2A9.2A.A$188.5A108.A338.2A
53.A9.2A$187.2A2.2A445.2A.2A49.3A10.A3.A$187.A.A.A.A444.A3.A49.A13.2A
.A$187.3A448.5A64.3A$188.2A450.2A$244.2A$244.A$242.A.A$242.2A38.A$227.
2A51.2A$226.3A51.3A$226.A.A.A.A46.2A$226.2A2.2A47.2A.3A$227.5A48.2A.2A
$228.2A51.3A2$266.2A$265.A.A$265.A$264.2A2$320.3A$319.2A.2A$318.2A.3A
$318.2A$234.2A83.3A$233.A.3A55.A25.2A$232.2A.3A55.2A2.A23.A$232.A3.A55.
A5.A$236.A56.A2.2A$235.2A56.4A145.A$233.A.3A202.A.A$233.4A204.2A27.A.
A$234.2A234.2A$471.A3$329.A118.A.A$326.3A.A118.2A$276.A47.3A2.2A118.A
$276.A.2A46.A.A2.A103.A35.A5.A$276.A53.A105.A27.A5.A5.A$330.A103.3A26.
A6.3A3.3A4.A$463.3A15.2A$446.A35.2A$209.2A10.2A50.2A.A170.2A$208.2A.2A
8.A51.A.2A169.2A$208.A3.A9.3A46.A.A.A$208.5A11.A46.A3.A$209.2A61.3A$272.
2A5$445.3A$447.A$446.A$452.A$451.2A$436.2A13.A.A$437.2A$436.A15$425.3A
$427.A$290.3A133.A$228.2A12.A47.A3.2A$225.3A.A10.3A47.2A$225.3A.A9.A51.
A.3A$227.2A10.2A51.3A3$347.A$310.A32.A2.2A$310.2A30.A5.A$310.A32.2A2.
A127.2A142.2A64.2A$344.4A126.2A143.2A49.A14.3A35.2A$476.A141.3A49.3A8.
A.A.A.A36.A$618.A2.A51.A8.2A2.2A36.A.A$619.3A50.2A8.5A38.2A$684.2A2$564.
A$563.2A48.A$312.2A248.A2.A46.2A$312.A.A248.4A46.A53.2A$255.2A54.A2.2A
247.2A3.A99.2A$254.2A55.4A250.A2.A98.A$256.A81.3A225.A$338.A.A$337.A2.
2A$337.2A.2A$338.3A$601.A$253.A344.3A.A53.A.3A$253.A28.2A312.3A2.2A54.
A.A$252.A.A11.3A14.A314.A.A2.A53.A.2A$266.A16.A.A316.A$267.A16.2A316.
A$573.A.A$573.A.2A$246.2A51.3A273.2A$245.2A.2A48.2A.2A269.A3.A$245.A3.
A48.A2.2A269.A.2A$245.5A41.3A5.A.A270.3A$246.2A44.A6.3A327.2A$260.2A367.
A$260.A.A364.A.A$262.A364.2A$262.2A347.3A$207.2A402.A.2A50.3A$206.5A400.
A3.A48.3A.A$206.A3.A403.2A52.2A$206.2A.2A401.A.2A48.2A3.A$207.2A403.A
.A52.3A2$651.2A$650.A.A$234.2A414.A$220.A11.2A.A413.2A$220.2A10.A2.A$
220.A12.3A470.3A$234.A468.2A3.A$707.2A$703.3A.A$198.A505.3A$197.A.A478.
A$199.2A475.2A.2A$200.A116.A361.A.A$197.A2.A115.2A275.A84.A.A22.A$196.
2A.2A116.A274.3A85.A21.2A$198.A393.3A83.3A22.A$679.A$679.A$318.3A$251.
A.A63.A2.A$250.2A.A63.3A$250.2A66.2A391.2A$250.A3.A63.2A$251.2A.A455.
A2.A$252.3A456.A.2A$712.2A.2A$593.A118.2A.A$594.2A118.A$412.2A179.3A$
410.5A180.2A$340.3A67.A3.A176.3A.2A63.2A$342.A67.2A.2A176.2A.2A62.3A.
A$341.A70.2A178.3A63.3A.A$557.A103.2A$556.2A$331.2A156.2A65.A.A$332.2A
155.3A$331.A156.A3.A$395.2A91.A.A.A$395.A.2A91.A.2A$395.A2.A91.2A.A$395.
3A$396.A112.A$507.2A.A$507.2A.2A$506.A.2A$121.2A64.A317.A2.A$187.A$124.
2A12.A47.A2.A.A314.2A$120.2A3.A10.3A48.2A2.3A$122.2A11.A51.A.3A$124.2A
9.2A51.A$320.3A$322.A$241.2A78.A$217.A21.5A$215.2A22.A3.A107.A$217.A21.
2A.2A104.A2.A8.A$241.2A105.A3.A4.2A.A$352.A7.A$350.A2.A$350.2A.A2$554.
A$403.2A134.A12.2A.2A23.2A$401.3A.A133.2A10.A.A25.2A$208.2A191.3A.A133.
A12.A.A26.A$206.3A.A193.2A146.A$206.3A.A202.3A136.3A$209.2A202.3A137.
A$235.A178.A86.3A49.A$234.3A263.3A.A$233.A2.A267.2A$233.2A.A263.2A3.A
$235.2A266.3A3$178.2A207.2A$161.2A16.A205.2A.A$161.A.A15.A.A203.A2.A$
161.A18.2A204.3A$387.A130.A$422.A67.A.A24.A.2A$142.2A52.2A221.3A.A67.
A24.2A.2A$142.A.A49.2A.A187.2A30.3A2.2A67.A26.2A.A$141.A2.2A48.A2.A187.
3A31.A.A2.A94.A2.A68.2A65.3A$141.4A50.3A187.2A36.A167.3A63.2A.2A$148.
3A45.A226.A96.2A68.A3.A62.3A.2A$156.2A15.2A308.A106.A.A.A66.2A$149.A6.
A.A13.2A308.3A107.A.2A63.3A$149.A8.A15.A307.A2.A106.2A.A64.2A$158.2A322.
A.2A173.A$390.2A90.2A$102.4A284.A$102.A2.2A284.3A211.A108.2A$103.A.A16.
A65.A204.A211.A.2A103.2A.A$103.2A17.A65.A328.A87.A106.A2.A$187.A.A325.
A2.A194.3A$121.3A390.2A.A196.A$129.2A383.A$129.2A384.A$128.3A381.3A$128.
A2.A380.A$129.3A545.2A.A$677.A2.A$679.A$675.A3.A$620.A54.A2.A$93.3A524.
A57.A7.A$93.A.A589.3A$92.2A2.A105.A416.3A63.3A16.2A$92.2A.2A106.2A188.
A309.A.3A$93.3A106.A191.2A307.A.3A$393.2A308.2A$379.A$148.A230.3A267.
2A$148.A64.A.2A165.A252.A14.A$147.3A63.A2.A164.2A250.A.A14.A.A5.3A$147.
A66.A419.2A15.2A5.3A$147.A.A64.A3.A440.A$146.A.A66.A2.A392.3A50.2A$147.
2A.2A63.A310.A84.A2.A49.A.3A$149.A200.A173.3A85.3A49.A.3A$348.2A.2A42.
A8.A118.A88.2A51.2A$351.A.A40.2A6.A.A118.2A87.2A$350.A.A42.A7.2A99.A.
A$352.A151.2A121.2A16.A.A$350.3A152.A121.A.A16.2A$351.A277.A16.A$309.
4A38.A277.2A$308.2A2.A73.2A115.A48.4A$309.A.A74.A.A114.A.2A44.2A2.A17.
2A$310.2A73.A2.2A113.A48.A.A18.2A$385.4A164.2A18.3A$572.A2.A$421.2A96.
A52.3A26.2A$421.A73.A21.A2.A$294.2A123.A.A72.A22.A3.2A75.2A$294.2A123.
2A73.3A22.4A75.A3.2A$294.3A223.A2.A76.2A$227.A65.A2.A224.2A75.2A$226.
3A64.3A225.A$225.A.A141.2A112.2A$224.A2.A141.2A113.A$225.2A141.3A113.
A.A$368.A2.A113.2A$369.3A2$534.3A29.2A$418.2A114.A.2A28.A.A23.A$420.2A
112.A3.A26.A2.2A19.2A.A$418.A3.2A113.2A26.4A23.A$418.2A115.A.2A$535.A
.A$421.2A$484.A133.2A52.2A9.2A$247.2A234.A.3A128.5A52.A10.3A$215.3A29.
3A233.2A2.3A126.2A2.2A48.3A10.A3.A$217.A28.A3.A61.A54.3A112.A2.A.A127.
A.A.A.A48.A12.3A.2A$216.A29.A.A.A60.3A53.3A113.A135.3A65.2A$248.A.2A116.
A114.A135.2A64.2A$248.2A.A3$302.2A$300.2A$298.2A3.A$302.2A$256.3A$257.
A41.2A73.2A$373.A.A$372.2A2.A$373.4A159.A.A$537.A$530.A6.A$357.3A169.
A2.A$284.2A71.A.A167.2A3.A$284.2A70.2A2.A166.4A$283.3A70.2A.2A165.A2.
A$135.A65.A81.A2.A70.3A167.2A$131.A2.2A63.2A.A81.3A241.A$130.A5.A62.2A
.2A$131.2A2.A62.A.2A116.2A$132.4A61.A2.A115.5A$274.A41.2A2.2A222.2A$198.
2A73.2A40.A.A.A.A223.3A$274.A44.3A222.A3.A$319.2A223.3A.2A$82.2A464.2A
$79.3A.A106.A355.2A$79.3A.A107.2A$81.2A107.A$288.2A$288.A$289.3A$291.
A4$113.2A$114.3A$107.3A3.A3.A164.A$113.3A.2A161.A.A$108.A8.2A162.2A$87.
2A.A17.A6.2A$87.A2.A$89.A83.A.A$85.A3.A84.A$85.A2.A85.A$88.A$144.2A$144.
A$142.A.A$135.A6.2A14.A131.A.A$127.A7.A20.2A119.A13.2A$124.A2.A29.2A118.
3A11.A$124.A3.A5.3A42.2A99.A$128.A52.2A96.2A$126.A2.A49.A3.2A$126.2A.
A49.2A2$166.2A14.2A$165.A.A$145.A19.A81.3A32.A$145.A.A16.2A55.2A23.2A
.2A32.2A$145.2A99.3A.2A30.A$218.2A30.2A$218.A3.2A24.3A$220.2A27.2A$218.
2A28.A$284.2A$191.2A89.3A.A$191.3A88.3A.A$190.A3.A90.2A$190.A.A.A$192.
A.2A123.2A$192.2A.A123.A$317.A.A$317.2A3$268.A$228.3A37.A2.A$227.A2.A
36.A3.A$201.A25.3A37.A$199.2A27.2A36.A2.A$201.A26.2A36.A.2A2$109.A64.
A$108.A2.A61.A.A140.2A$106.2A3.A9.2A52.2A92.A47.3A$106.4A11.A54.A90.2A
47.A3.A$105.A2.A13.3A48.A2.A92.A46.3A.2A$106.2A16.A47.2A.2A143.2A$107.
A66.A143.2A15$272.2A$271.A.3A$271.A.3A$271.2A3$256.A$255.3A$255.A2.A$
255.A.2A$255.2A9$320.A$318.3A$317.A$317.2A!

LuveelVoom · Post by **LuveelVoom** » October 4th, 2026, 12:03 pm

I just had a stroke of inspiration. Couldn’t you use guns to reset the loaf in the failed reflector, in such a way that the loaf is recreated regardless of whether it is already there or not (say by firing something at it before resynthesizing it that either destroys it or gets eaten by another object)? Wouldn’t this allow for a massive set of periods to be solved (all multiples of periods where the T doesn’t interfere with the loaf recreation)? Plus, if we have multiple gun periods, we can solve every period except for those that are multiples of all loaf recreation times.

Edit: Has anyone tried using LLS to find an unsynthesizable still life yet (or in general a garden of Eden)?

TheWayOfTheCon · Post by **TheWayOfTheCon** » October 5th, 2026, 2:32 pm

LuveelVoom wrote: October 4th, 2026, 12:03 pm Edit: Has anyone tried using LLS to find an unsynthesizable still life yet (or in general a garden of Eden)?

I have LLS and would be interested in finding those. However after 10 or so minutes of thinking, looking at the parameters, I couldn't figure out a way to search for patterns without predecessors. Finding patterns with predecessors is easy though.

MDA · Post by **MDA** » October 5th, 2026, 2:45 pm

TheWayOfTheCon wrote: October 5th, 2026, 2:32 pm
[...]
[...] I couldn't figure out a way to search for patterns without predecessors. [...]

The CGoL textbook outlines a procedure for doing this. Starting with one cell at the center, try turning that cell on or off and check which of those possibilities generates more predecessors. Pick the one with less predecessors and choose another cell, spiraling outwards as you go and always picking the possibility with less predecessors. You will eventually get a Garden of Eden if you keep on doing this.

Edit (October 5th, 2026, 8:45 PM): Applying this algorithm gives the following 5x5 pattern with 127 predecessors:

Code: Select all

x = 6, y = 5, rule = B3/S23-a5History
BAB2A$2ABAB$AB2AB$2A2BA$A2B2AD!

Edit (October 5th, 2026, 9:37 PM): And this 6x6 pattern with 507 predecessors:

Code: Select all

x = 7, y = 6, rule = B3/S23-a5History
DA2B3A$.BAB3A$.2ABABA$.AB2A2B$.2A2BAB$.A2B3A!

MDA · Post by **MDA** » October 5th, 2026, 5:08 pm

A 2c/3 against-the-grain zebra crawler (found using LLSSS):

Code: Select all

x = 27, y = 39, rule = B3/S23-a5:T27,40
27o2$8o2b7o2b8o2$6o6b3o6b6o$6bo4bo3bo4bo$7o4bobobo4b7o$7bo5bo5bo$9o4bo
4b9o$9bo7bo$10o7b10o$10bo5bo$8o2bo5bo2b8o$8bob2o3b2obo$8o2bob3obo2b8o$
8bobobobobobo$3o4bo2bobobobo2bo4b3o$8bobobobobobo$2o8bobobobo8b2o$2bo
6bo2bobo2bo6bo$4o8bobo8b4o$4bo7bobo7bo$5o17b5o$5bo4bobobobo4bo$7o4bobo
bo4b7o$7bo3bo3bo3bo$8o4b3o4b8o$8bobo5bobo$10ob5ob10o2$27o2$27o2$27o2$
27o2$27o!

LuveelVoom · Post by **LuveelVoom** » October 6th, 2026, 3:40 pm

LuveelVoom wrote: October 4th, 2026, 12:03 pm I just had a stroke of inspiration. Couldn’t you use guns to reset the loaf in the failed reflector, in such a way that the loaf is recreated regardless of whether it is already there or not (say by firing something at it before resynthesizing it that either destroys it or gets eaten by another object)? Wouldn’t this allow for a massive set of periods to be solved (all multiples of periods where the T doesn’t interfere with the loaf recreation)? Plus, if we have multiple gun periods, we can solve every period except for those that are multiples of all loaf recreation times.

Partial proof of concept, but it exits with the wrong parity and I don't have the time to fix it. Can someone try and figure out how to rearrange the main set of T reflectors (the ones that move the T being shuttled through the loop)?

Code: Select all

x = 599, y = 617, rule = B3/S23-a5History
445.2A.2A$445.A3.A$446.A.A$443.4A.4A$442.A2.5A2.A$381.2A.2A56.2A7.2A$
381.A3.A17.2A$382.A.A17.A.A$379.4A.4A14.A23.A$378.A2.5A2.A10.2A.A24.2A
$378.2A7.2A10.A.2A.A21.A$363.2A39.A$362.A.A34.A.2A.A$362.A36.2A.A30.2A
.A$359.2A.A21.3A15.A30.A.2A$359.A.2A.A19.3A15.A.A$364.A20.A17.2A$359.
A.2A.A$359.2A.A$362.A17.2A$362.A.A9.A.2A.A.A$363.2A9.2A.A.A$377.A.2A$
377.A2.2A$378.3A2$378.3A$377.A2.2A42.3A9.A$377.A.2A43.3A8.A.A$352.2A20.
2A.A.A45.A10.A$351.A.A20.A.2A.A.A$351.A28.2A$348.2A.A$348.A.2A.A$353.
A$348.A.2A.A56.A42.2A$348.2A.A9.2A7.2A38.A.A40.A.A$351.A9.A2.5A2.A25.
A12.2A43.A$351.A.A8.4A.4A25.A.A56.A.2A$352.2A11.A.A29.A55.A.2A.A$364.
A3.A84.A$341.2A21.2A.2A41.A42.A.2A.A$340.A.A65.2A45.A.2A$340.A69.A44.
A$337.2A.A112.A.A$337.A.2A.A110.2A$342.A$337.A.2A.A$337.2A.A9.2A7.2A$
340.A9.A2.5A2.A$340.A.A8.4A.4A69.2A$341.2A11.A.A72.A.A$353.A3.A73.A$353.
2A.2A73.A.2A$429.A.2A.A$429.A$359.A69.A.2A.A$359.2A70.A.2A$359.A71.A$
429.A.A$429.2A$343.2A2.3A2.2A$343.A9.A37.A$344.4A.4A37.A$347.A.A40.3A
$346.A3.A$346.2A.2A33$370.2A.2A$63.2A.2A302.A3.A$63.A3.A303.A.A$64.A.
A301.4A.4A$61.4A.4A297.A9.A$60.A9.A296.2A3.A3.2A$60.2A3.A3.2A301.A34.
2A$29.2A34.A341.A.A$28.A.A363.A14.A$28.A14.A348.2A15.A.2A$25.2A.A15.2A
348.A12.A.2A.A$25.A.2A.A12.A363.A$30.A376.A.2A.A$25.A.2A.A378.A.2A$25.
2A.A380.A$28.A378.A.A$28.A.A376.2A$29.2A4$384.A$53.A329.A.A12.2A$38.2A
12.A.A329.A13.A$39.A13.A301.2A.2A39.A$38.A39.2A.2A272.A3.A38.2A$38.2A
38.A3.A273.A.A$79.A.A271.4A.4A$76.4A.4A267.A9.A$75.A9.A266.2A3.A3.2A$
75.2A3.A3.2A271.A$80.A312.3A$42.3A350.A$42.A351.A$43.A$354.3A$81.3A270.
3A$81.3A271.A$82.A7$366.A$71.A292.2A.A$70.A.2A$362.2A.A.2A$69.2A.A.2A
286.A2.2A21.A$49.A21.2A2.A287.2A2.2A18.3A$48.3A18.2A2.2A289.2A.A19.3A
$48.3A19.A.2A291.A$72.A328.A$36.A359.2A3.A3.2A$31.2A3.A3.2A354.A9.A$31.
A9.A355.4A.4A$32.4A.4A359.A.A$35.A.A258.A102.A3.A$34.A3.A257.A.A100.2A
.2A$34.2A.2A257.2A76.A$63.A309.A.A$62.A.A309.A$63.A7$402.2A$34.2A366.
A.A$33.A.A368.A$33.A370.A.2A$30.2A.A368.A.2A.A$30.A.2A.A366.A$35.A366.
A.2A.A$30.A.2A.A345.2A.3A.3A.2A10.A.2A$30.2A.A10.2A.3A.3A.2A324.A3.2A
.2A3.A10.A$33.A10.A3.2A.2A3.A325.3A.A.A.3A9.A.A$33.A.A9.3A.A.A.3A330.
A.A13.2A$34.2A13.A.A330.4A3.4A$45.4A3.4A326.A9.A$45.A9.A327.A7.A$46.A
7.A327.2A7.2A$45.2A7.2A2$375.2A$61.2A311.A.A$61.A.A310.A$63.A307.2A.A
$63.A.2A304.A.2A.A$61.A.2A.A309.A$61.A309.A.2A.A19.A$41.A19.A.2A.A304.
2A.A16.2A3.A3.2A$36.2A3.A3.2A16.A.2A307.A16.A9.A$36.A9.A16.A310.A.A15.
4A.4A$37.4A.4A15.A.A311.2A18.A.A$40.A.A18.2A253.A.A44.2A29.A3.A$39.A3.
A29.2A44.A.A194.2A44.A.A29.2A.2A$39.2A.2A29.A.A44.2A195.A44.A$75.A44.
A238.2A.A$75.A.2A280.A.2A.A$73.A.2A.A285.A$73.A285.A.2A.A13.A$59.A13.
A.2A.A271.2A7.2A.A5.A4.2A3.A3.2A$54.2A3.A3.2A4.A5.A.2A7.2A261.A.A10.A
4.3A3.A9.A$54.A9.A3.3A4.A10.A.A260.A12.A.A2.3A4.4A.4A$55.4A.4A4.3A2.A
.A12.A257.2A.A13.2A12.A.A$58.A.A12.2A13.A.2A254.A.2A26.A3.A$57.A3.A26.
2A.A259.2A23.2A.2A$57.2A.2A23.2A259.A.2A$88.2A.A254.2A.A$88.A.2A21.2A
.2A231.A$88.A24.A3.A231.A.A$86.A.A25.A.A233.2A14.A$71.A14.2A23.4A.4A241.
2A3.A3.2A$66.2A3.A3.2A33.A9.A240.A9.A$66.A9.A33.2A3.A3.2A241.4A.4A$67.
4A.4A14.2A23.A249.A.A$70.A.A16.A.A272.A3.A$69.A3.A15.A274.2A.2A$69.2A
.2A12.2A.A$86.A.2A$91.2A$86.A.2A122.2A$86.2A.A22.2A98.A.A2.2A$89.A21.
A.A100.A3.A$89.A.A19.A98.4A.3A$90.2A16.2A.A98.A2.A.A$108.A.2A.A$113.A
111.A$108.A.2A.A110.3A$108.2A.A102.2A6.A4.A$4.2A105.A102.3A5.2A.A.2A$
3.A.A105.A.A100.2A6.A.A.A.A$3.A108.2A113.A$2A.A$A.2A$5.2A$A.2A$2A.A84.
2A2.3A2.2A$3.A84.A9.A$3.A.A83.4A.4A$4.2A86.A.A$91.A3.A265.2A.2A$72.2A
.2A14.2A.2A265.A3.A$72.A3.A285.A.A$73.A.A283.4A.4A$70.4A.4A279.A2.5A2.
A$69.A2.5A2.A278.2A7.2A$69.2A7.2A267.2A$89.2A255.A.A$89.A.A254.A$91.A
251.2A.2A$90.2A.2A248.A.3A$90.3A.A252.A25.2A.2A$60.2A.2A25.A252.A.3A25.
A3.A$60.A3.A25.3A.A248.2A.2A12.2A12.A.A$61.A.A12.2A12.2A.2A251.A12.A.
A2.A.A4.4A.4A$58.4A.4A4.A.A2.A.A12.A254.A.A10.A5.A4.A2.5A2.A$57.A2.5A
2.A4.A5.A10.A.A255.2A7.2A.A5.A4.2A7.2A$57.2A7.2A4.A5.A.2A7.2A265.A.2A
$78.2A.A279.2A$75.2A279.A.2A$78.2A.A274.2A.A$78.A.2A277.A$78.A235.2A43.
A.A29.2A.2A$42.2A.2A29.A.A43.2A189.2A45.2A29.A3.A$42.A3.A29.2A45.2A190.
A56.2A18.A.A$43.A.A18.2A56.A248.A.A15.4A.4A$40.4A.4A15.A.A304.A16.A2.
5A2.A$39.A2.5A2.A16.A301.2A.A16.2A7.2A$39.2A7.2A16.A.2A298.A.2A$66.2A
.A303.2A$63.2A149.A153.A.2A$66.2A.A143.3A152.2A.A$66.A.2A301.A$66.A304.
A.A$64.A.A305.2A$64.2A2$379.2A7.2A$48.2A7.2A321.A7.A$49.A7.A321.A9.A$
48.A9.A320.4A3.4A$48.4A3.4A324.A.A13.2A$37.2A13.A.A324.2A2.A.A2.2A9.A
.A$36.A.A9.2A2.A.A2.2A319.A2.3A.3A2.A10.A$36.A10.A2.3A.3A2.A318.2A9.2A
10.A.2A$33.2A.A10.2A9.2A341.2A.A$33.A.2A361.2A$38.2A361.2A.A$33.A.2A364.
A.2A$33.2A.A364.A$36.A362.A.A$36.A.A360.2A$37.2A7$371.A$66.A303.A.A$65.
A.A303.A$66.A329.2A.2A$37.2A.2A354.A3.A$37.A3.A355.A.A$38.A.A353.4A.4A
$35.4A.4A349.A2.5A2.A$34.A2.5A2.A348.2A7.2A$34.2A7.2A318.A$74.A288.A$
74.A286.A3.A18.A.A$51.A.A18.A3.A283.2A2.A20.A$52.A20.A2.2A282.A3.A20.
A$52.A20.A3.A282.A.A$75.A.A283.2A.2A$72.2A.2A286.A$74.A8$314.2A36.A$85.
A227.2A37.A$85.A229.A35.A.A$84.A.A$391.A$46.A342.A.A$46.A.A341.2A$46.
2A$349.2A7.2A$78.2A7.2A260.A2.5A2.A$78.A2.5A2.A261.4A.4A$79.4A.4A265.
A.A$82.A.A267.A3.A38.2A$41.2A38.A3.A266.2A.2A39.A$41.A39.2A.2A295.A13.
A$42.A13.A323.A.A12.2A$41.2A12.A.A323.A$56.A4$404.2A$32.2A370.A.A$31.
A.A372.A$31.A374.A.2A$28.2A.A374.2A.A$28.A.2A371.2A$33.2A356.2A13.2A.
A$28.A.2A13.2A343.3A13.A.2A$28.2A.A13.3A343.2A13.A$31.A13.2A357.A.A$31.
A.A370.2A$32.2A330.2A7.2A$63.2A7.2A290.A2.5A2.A$63.A2.5A2.A291.4A.4A$
64.4A.4A295.A.A$67.A.A297.A3.A$66.A3.A296.2A.2A$66.2A.2A12$218.2A$218.
A.A$220.A$219.2A.2A$219.3A.A$219.A$219.3A.A$219.2A.2A$220.A$218.A.A$218.
2A$6.2A7.2A$6.A2.5A2.A$7.4A.4A$10.A.A$9.A3.A$9.2A.2A28$409.A$408.2A$408.
A.A71$550.2A.2A$550.A3.A$551.A.A$548.4A.4A$547.A2.5A2.A$547.2A7.2A$536.
2A$535.A.A$535.A$532.2A.2A$532.A.3A$536.A25.2A.2A$532.A.3A25.A3.A$532.
2A.2A12.2A12.A.A$535.A12.A.A2.A.A4.4A.4A$535.A.A10.A5.A4.A2.5A2.A$536.
2A7.2A.A5.A4.2A7.2A$545.A.2A$550.2A$545.A.2A$545.2A.A$548.A$503.2A43.
A.A29.2A.2A$502.2A45.2A29.A3.A$504.A56.2A18.A.A$560.A.A15.4A.4A$560.A
16.A2.5A2.A$557.2A.A16.2A7.2A$557.A.2A$562.2A$557.A.2A$557.2A.A$560.A
$560.A.A$561.2A3$568.2A7.2A$569.A7.A$568.A9.A$568.4A3.4A$572.A.A13.2A
$568.2A2.A.A2.2A9.A.A$567.A2.3A.3A2.A10.A$567.2A9.2A10.A.2A$590.2A.A$
587.2A$590.2A.A$590.A.2A$590.A$588.A.A$588.2A8$560.A$559.A.A$560.A$585.
2A.2A$585.A3.A$586.A.A$583.4A.4A$582.A2.5A2.A$582.2A7.2A$552.A$552.A$
550.A3.A18.A.A$549.2A2.A20.A$549.A3.A20.A$549.A.A$550.2A.2A$552.A9$541.
A$541.A$540.A.A2$580.A$578.A.A$579.2A2$538.2A7.2A$538.A2.5A2.A$539.4A
.4A$542.A.A$541.A3.A38.2A$541.2A.2A39.A$570.A13.A$569.A.A12.2A$570.A5$
593.2A$593.A.A$595.A$595.A.2A$595.2A.A$592.2A$580.2A13.2A.A$579.3A13.
A.2A$580.2A13.A$593.A.A$593.2A$553.2A7.2A$553.A2.5A2.A$554.4A.4A$557.
A.A$556.A3.A$556.2A.2A!

(Also, it sometimes spits gliders out. Easy fix, just add an eater, but I'm too lazy to go back rn and do it)
(Or don't add an eater, if you want new high-period guns!)

Edit: Working? Nope!

Code: Select all

x = 597, y = 617, rule = B3/S23-a5History
443.2A.2A$443.A3.A$444.A.A$441.4A.4A$440.A2.5A2.A$379.2A.2A56.2A7.2A$
379.A3.A17.2A$380.A.A17.A.A$377.4A.4A14.A19.A$376.A2.5A2.A10.2A.A16.2A
.A$376.2A7.2A10.A.2A.A17.A$361.2A39.A$360.A.A34.A.2A.A$360.A17.A18.2A
.A30.2A.A$357.2A.A18.2A19.A30.A.2A$357.A.2A.A15.A21.A.A$362.A38.2A$357.
A.2A.A$357.2A.A$360.A17.2A$360.A.A9.A.2A.A.A$361.2A9.2A.A.A$375.A2.A44.
A$375.A.2A43.3A$376.A2$376.A$375.A.2A55.A$375.A2.A54.A.A$350.2A20.2A.
A.A56.A$349.A.A20.A.2A.A.A33.A.A$349.A28.2A33.2A$346.2A.A64.A$346.A.2A
.A$351.A$346.A.2A.A99.2A$346.2A.A9.2A7.2A81.A.A$349.A9.A2.5A2.A25.A57.
A$349.A.A8.4A.4A25.A.A56.A.2A$350.2A11.A.A29.A55.A.2A.A$362.A3.A84.A$
339.2A21.2A.2A45.A38.A.2A.A$338.A.A71.A.2A37.A.2A$338.A73.A40.A$335.2A
.A112.A.A$335.A.2A.A110.2A$340.A$335.A.2A.A$335.2A.A9.2A7.2A$338.A9.A
2.5A2.A$338.A.A8.4A.4A69.2A$339.2A11.A.A72.A.A$351.A3.A73.A$351.2A.2A
73.A.2A$427.A.2A.A$427.A$363.A63.A.2A.A$361.2A32.A33.A.2A$363.A29.2A34.
A$394.2A31.A.A$427.2A$341.2A2.3A2.2A$341.A9.A$342.4A.4A$345.A.A$344.A
3.A$344.2A.2A33$368.2A.2A$61.2A.2A302.A3.A$61.A3.A303.A.A$62.A.A301.4A
.4A$59.4A.4A297.A9.A$58.A9.A296.2A3.A3.2A$58.2A3.A3.2A301.A34.2A$27.2A
34.A341.A.A$26.A.A367.A10.A$26.A10.A358.A.2A7.A.2A$23.2A.A7.2A.A358.A
8.A.2A.A$23.A.2A.A8.A367.A$28.A376.A.2A.A$23.A.2A.A378.A.2A$23.2A.A380.
A$26.A378.A.A$26.A.A376.2A$27.2A4$382.A$51.A329.A.A12.2A$36.2A12.A.A329.
A13.A$37.A13.A301.2A.2A39.A$36.A39.2A.2A272.A3.A38.2A$36.2A38.A3.A273.
A.A$77.A.A271.4A.4A$74.4A.4A267.A9.A$73.A9.A266.2A3.A3.2A$73.2A3.A3.2A
271.A$78.A$356.A$77.A276.2A$78.2A276.A$77.A$386.2A$46.2A339.2A$45.2A339.
A$47.A9$368.A$65.A298.4A.2A$63.2A.4A294.A6.A$62.A6.A293.A.2A2.A.A$62.
A.A2.2A.A289.2A5.5A$62.5A5.2A225.A.A59.A3.A3.A.A27.A$34.A27.A.A3.A3.A
226.2A61.5A.2A2.A21.2A3.A3.2A$29.2A3.A3.2A21.A2.2A.5A228.A62.A.A3.2A.
A12.3A6.A9.A$29.A9.A6.3A12.A.2A3.A.A300.A14.A8.4A.4A$30.4A.4A8.A14.A335.
A.A$33.A.A361.A3.A$32.A3.A360.2A.2A$32.2A.2A335.A$61.A309.A.A$60.A.A309.
A$61.A7$400.2A$32.2A366.A.A$31.A.A368.A$31.A370.A.2A$28.2A.A368.A.2A.
A$28.A.2A.A366.A$33.A366.A.2A.A$28.A.2A.A345.2A9.2A10.A.2A$28.2A.A10.
2A9.2A324.A2.2A3.2A2.A10.A$31.A10.A2.2A3.2A2.A325.2A.2A.2A.2A9.A.A$31.
A.A9.2A.2A.2A.2A330.A.A13.2A$32.2A13.A.A330.4A3.4A$43.4A3.4A326.A9.A$
43.A9.A327.A7.A$44.A7.A327.2A7.2A$43.2A7.2A2$373.2A$59.2A311.A.A$59.A
.A310.A$61.A307.2A.A$61.A.2A304.A.2A.A$59.A.2A.A255.A53.A$59.A53.A205.
A49.A.2A.A19.A$39.A19.A.2A.A49.A204.3A47.2A.A16.2A3.A3.2A$34.2A3.A3.2A
16.A.2A47.3A257.A16.A9.A$34.A9.A16.A310.A.A15.4A.4A$35.4A.4A15.A.A311.
2A18.A.A$38.A.A18.2A300.2A29.A3.A$37.A3.A29.2A287.A.A29.2A.2A$37.2A.2A
29.A.A286.A$73.A283.2A.A$73.A.2A280.A.2A.A$71.A.2A.A285.A$71.A285.A.2A
.A13.A$57.A13.A.2A.A271.2A7.2A.A10.2A3.A3.2A$52.2A3.A3.2A10.A.2A7.2A261.
A.A10.A10.A9.A$52.A9.A10.A10.A.A260.A12.A.A9.4A.4A$53.4A.4A9.A.A12.A257.
2A.A13.2A12.A.A$56.A.A12.2A13.A.2A254.A.2A26.A3.A$55.A3.A26.2A.A259.2A
23.2A.2A$55.2A.2A23.2A259.A.2A17.3A$66.3A17.2A.A254.2A.A18.A$67.A18.A
.2A21.2A.2A231.A$86.A24.A3.A231.A.A$84.A.A25.A.A233.2A14.A$69.A14.2A23.
4A.4A241.2A3.A3.2A$64.2A3.A3.2A33.A9.A240.A9.A$64.A9.A33.2A2.3A2.2A241.
4A.4A$65.4A.4A14.2A273.A.A$68.A.A16.A.A272.A3.A$67.A3.A15.A17.A256.2A
.2A$67.2A.2A12.2A.A16.2A$84.A.2A.A15.A$89.A$84.A.2A.A120.2A$84.2A.A22.
2A98.A.A2.2A$87.A21.A.A100.A3.A$87.A.A19.A98.4A.3A$88.2A16.2A.2A97.A2.
A.A$106.A.3A$110.A$106.A.3A114.A$106.2A.2A97.A16.2A$4.2A103.A97.2A16.
A$3.A.A103.A.A96.A$3.A106.2A$2A.A$A.2A$5.2A$A.2A218.3A$2A.A82.2A7.2A125.
A$3.A82.A2.5A2.A126.A$3.A.A81.4A.4A$4.2A84.A.A$89.A3.A265.2A.2A$70.2A
.2A14.2A.2A265.A3.A$70.A3.A285.A.A$71.A.A283.4A.4A$68.4A.4A279.A2.5A2.
A$67.A2.5A2.A278.2A7.2A$67.2A7.2A267.2A$87.2A255.A.A15.A$71.A15.A.A254.
A18.A$70.A18.A251.2A.2A$88.2A.2A248.A.3A16.3A$69.3A16.3A.A252.A25.2A.
2A$58.2A.2A25.A252.A.3A25.A3.A$58.A3.A25.3A.A248.2A.2A12.2A12.A.A$59.
A.A12.2A12.2A.2A251.A12.A.A9.4A.4A$56.4A.4A9.A.A12.A254.A.A10.A10.A2.
5A2.A$55.A2.5A2.A10.A10.A.A255.2A7.2A.A10.2A7.2A$55.2A7.2A10.A.2A7.2A
265.A.2A$76.2A.A279.2A$73.2A279.A.2A$76.2A.A274.2A.A$76.A.2A277.A$76.
A280.A.A29.2A.2A$40.2A.2A29.A.A281.2A29.A3.A$40.A3.A29.2A294.2A18.A.A
$41.A.A18.2A305.A.A15.4A.4A$38.4A.4A15.A.A304.A16.A2.5A2.A$37.A2.5A2.
A16.A252.2A47.2A.A16.2A7.2A$37.2A7.2A16.A.2A47.2A200.A.A46.A.2A$64.2A
.A46.A.A200.A53.2A$61.2A53.A249.A.2A$64.2A.A298.2A.A$64.A.2A301.A$64.
A304.A.A$62.A.A305.2A$62.2A2$377.2A7.2A$46.2A7.2A321.A7.A$47.A7.A321.
A9.A$46.A9.A320.4A3.4A$46.4A3.4A324.A.A13.2A$35.2A13.A.A324.3A.A.A.3A
9.A.A$34.A.A9.3A.A.A.3A319.A11.A10.A$34.A10.A11.A318.2A.A5.A.2A10.A.2A
$31.2A.A10.2A.A5.A.2A322.A3.A14.2A.A$31.A.2A14.A3.A342.2A$36.2A361.2A
.A$31.A.2A364.A.2A$31.2A.A364.A$34.A362.A.A$34.A.A360.2A$35.2A7$369.A
$64.A303.A.A$63.A.A303.A$64.A329.2A.2A$35.2A.2A343.A10.A3.A$35.A3.A10.
A332.A11.A.A$36.A.A11.A317.A23.4A.4A$33.4A.4A23.A301.A.A12.3A6.A2.5A2.
A$32.A2.5A2.A6.3A12.A.A292.A.3A3.A.A21.2A7.2A$32.2A7.2A21.A.A3.3A.A283.
A.A.A.2A2.A$65.A2.2A.A.A.A282.3A.A.2A$68.2A.A.3A283.6A.A.A$65.A.A.6A289.
2A.A$66.A.2A294.3A$67.3A294.3A$67.3A9$382.A.A$49.A.A331.2A$49.2A332.A
$50.A$353.2A$79.2A271.3A$79.3A235.2A34.2A$79.2A236.A.A$317.A$347.2A7.
2A$76.2A7.2A260.A2.5A2.A$76.A2.5A2.A261.4A.4A$77.4A.4A265.A.A$80.A.A267.
A3.A38.2A$39.2A38.A3.A266.2A.2A39.A$39.A39.2A.2A295.A13.A$40.A13.A323.
A.A12.2A$39.2A12.A.A323.A$54.A4$402.2A$30.2A370.A.A$29.A.A372.A$29.A374.
A.2A$26.2A.A374.2A.A$26.A.2A371.2A$31.2A361.A9.2A.A$26.A.2A9.A354.2A8.
A.2A$26.2A.A8.2A354.A9.A$29.A9.A362.A.A$29.A.A370.2A$30.2A330.2A7.2A$
61.2A7.2A290.A2.5A2.A$61.A2.5A2.A291.4A.4A$62.4A.4A295.A.A$65.A.A297.
A3.A$64.A3.A296.2A.2A$64.2A.2A23$217.2A3.A$217.A.A.A.A$219.A.A.A$218.
A2.A.2A$219.3A2.A$215.2A.2A2.A$219.3A$218.A2.A.A.A$219.A.A.3A$217.A.A
.A.A$9.3A205.2A3.A$5.2A7.2A$5.A2.A.A.A2.A$6.9A$9.A.A$6.4A.4A$5.A4.A4.
A$6.3A3.3A$7.A3.2A$7.2A20$411.3A$411.A$412.A65$548.2A.2A$548.A3.A$549.
A.A$546.4A.4A$545.A2.5A2.A$545.2A7.2A$534.2A$533.A.A15.A$533.A18.A$530.
2A.2A$530.A.3A16.3A$534.A25.2A.2A$530.A.3A25.A3.A$530.2A.2A12.2A12.A.
A$533.A12.A.A9.4A.4A$533.A.A10.A10.A2.5A2.A$534.2A7.2A.A10.2A7.2A$543.
A.2A$548.2A$543.A.2A$543.2A.A$546.A$546.A.A29.2A.2A$547.2A29.A3.A$559.
2A18.A.A$558.A.A15.4A.4A$558.A16.A2.5A2.A$506.2A47.2A.A16.2A7.2A$506.
A.A46.A.2A$506.A53.2A$555.A.2A$555.2A.A$558.A$558.A.A$559.2A3$566.2A7.
2A$567.A7.A$566.A9.A$566.4A3.4A$570.A.A13.2A$566.3A.A.A.3A9.A.A$565.A
11.A10.A$565.2A.A5.A.2A10.A.2A$569.A3.A14.2A.A$585.2A$588.2A.A$588.A.
2A$588.A$586.A.A$586.2A8$558.A$557.A.A$558.A$583.2A.2A$572.A10.A3.A$572.
A11.A.A$557.A23.4A.4A$556.A.A12.3A6.A2.5A2.A$548.A.3A3.A.A21.2A7.2A$547.
A.A.A.2A2.A$547.3A.A.2A$548.6A.A.A$553.2A.A$553.3A$553.3A10$571.A.A$572.
2A$572.A2$542.2A$541.3A$542.2A3$536.2A7.2A$536.A2.5A2.A$537.4A.4A$540.
A.A$539.A3.A38.2A$539.2A.2A39.A$568.A13.A$567.A.A12.2A$568.A5$591.2A$
591.A.A$593.A$593.A.2A$593.2A.A$590.2A$583.A9.2A.A$583.2A8.A.2A$583.A
9.A$591.A.A$591.2A$551.2A7.2A$551.A2.5A2.A$552.4A.4A$555.A.A$554.A3.A
$554.2A.2A!

This is a useful periodic reflector (or splitter), if you remove the setup on the left. However, it is... a bit bulky... I suppose that could be addressed with some well-placed p248 guns, but I couldn't figure that out.

hotcrystal0 · Post by **hotcrystal0** » October 6th, 2026, 6:03 pm

P248 and P496 blinker hasslers:

Code: Select all

x = 100, y = 103, rule = B3/S23-a5
7$29bo$29b3o$32bo$31b2o6$48b2o7bo$48bo8b3o$28b2o2b2o12bobo11bo$28bo17b
2o11b2o$27bob2o$30bo$29bo2$22b2o$21bobo52b2o$21bo54bo$20b2o34b2o16bob
o$46b3o6bo2bo15b2o$56b3o$56bobo3$37b2o11b2o$37bo11bobo$38b3o8bo$40bo7b
2o6$65b2o$65bo$66b3o$68bo12$29bo$29b3o$32bo$31b2o6$48b2o7bo$48bo8b3o$
46bobo11bo$46b2o11b2o2$40bo$39bo$39b2obo$22b2o17bo$21bobo12b2o2b2o34b
2o$21bo54bo$20b2o34b2o16bobo$46b3o6bo2bo15b2o$56b3o$56bobo3$37b2o11b2o
$37bo11bobo$38b3o8bo$40bo7b2o6$65b2o$65bo$66b3o$68bo!

Edit: [unrelated] P11 billiard table from D4_+1:

Code: Select all

x = 11, y = 15, rule = B3/S23-a5
3b2ob2o$2bobobobo$2bobobobo$2obo3bob2o$bo7bo$bo3bo3bo$2b7o2$2b7o$bo3b
o3bo$bo7bo$2obo3bob2o$2bobobobo$2bobobobo$3b2ob2o!

hotcrystal0 · Post by **hotcrystal0** » October 7th, 2026, 7:16 am

P18 from the D4_+1 census, presumably found by PK22’s searches:

Code: Select all

x = 13, y = 13, rule = B3/S23-a5
o3bo3bo3bo$o3bo3bo3bo$b2o2bobo2b2o$bo3bobo3bo$o2bobobobo2bo$b4o3b4o2$
b4o3b4o$o2bobobobo2bo$bo3bobo3bo$b2o2bobo2b2o$o3bo3bo3bo$o3bo3bo3bo!

ThePlayzr · Post by **ThePlayzr** » October 7th, 2026, 8:31 am

LuveelVoom wrote: October 6th, 2026, 3:40 pm
LuveelVoom wrote: October 4th, 2026, 12:03 pm I just had a stroke of inspiration. Couldn’t you use guns to reset the loaf in the failed reflector, in such a way that the loaf is recreated regardless of whether it is already there or not (say by firing something at it before resynthesizing it that either destroys it or gets eaten by another object)? Wouldn’t this allow for a massive set of periods to be solved (all multiples of periods where the T doesn’t interfere with the loaf recreation)? Plus, if we have multiple gun periods, we can solve every period except for those that are multiples of all loaf recreation times.
Partial proof of concept, but it exits with the wrong parity and I don't have the time to fix it. Can someone try and figure out how to rearrange the main set of T reflectors (the ones that move the T being shuttled through the loop)?
Code: Select all
x = 599, y = 617, rule = B3/S23-a5History
(Also, it sometimes spits gliders out. Easy fix, just add an eater, but I'm too lazy to go back rn and do it)
(Or don't add an eater, if you want new high-period guns!)

Edit: Working? Nope!
Code: Select all
x = 597, y = 617, rule = B3/S23-a5History!
This is a useful periodic reflector (or splitter), if you remove the setup on the left. However, it is... a bit bulky... I suppose that could be addressed with some well-placed p248 guns, but I couldn't figure that out.

The only way this is going to work is if the gun period and the reflector loop period share some factor. I will have to figure out what the minimum could be, but with this setup it's a multiple of the gun period, so we need to find a setup where this is much lower, but the reaction we are using here has a physical limit of 91, which means the smallest new period we can make is 1261, with a gun period of 1164.
Here I have made a pattern with a very low common factor requirement, with p67 as the factor in this example:

Code: Select all

x = 59, y = 57, rule = B3/S23-a5
2bo$obo$b2o15$17bobo$18b2o$18bo13b2o$32bo$30bobo$30b2o$6bo17bo$7b2o12b
2obo$6bo17bo2bo$26bobo$26bobo$27b2ob2o15bo$30bobo12b2o$30bobo14bo$31b
o6$40bo$39b2o$39bobo15$56b2o$56bobo$56bo!

The gun period would be 804, and the smallest new period we could make is p871. The largest non-prime period that would remain if we completed the gun for this would be 61^2, so 3721. Can someone make a p804 glider gun so this can be completed?
EDIT: new sparky p8 from D4_x4:

Code: Select all

x = 14, y = 14, rule = B3/S23-a5
b2o$3o$3o2b3o$5bobo$5bo2bo$2b4o3bo$2bo3bo3b2o$2b2o3bo3bo$4bo3b4o$5bo2b
o$6bobo$6b3o2b3o$11b3o$11b2o!

PK22 · Post by **PK22** » October 7th, 2026, 10:51 am

hotcrystal0 wrote: October 7th, 2026, 7:16 am P18 from the D4_+1 census, presumably found by PK22’s searches:
Code: Select all
x = 13, y = 13, rule = B3/S23-a5
o3bo3bo3bo$o3bo3bo3bo$b2o2bobo2b2o$bo3bobo3bo$o2bobobobo2bo$b4o3b4o2$
b4o3b4o$o2bobobobo2bo$bo3bobo3bo$b2o2bobo2b2o$o3bo3bo3bo$o3bo3bo3bo!

Yep, /attribute shows I found it about 4 hours ago (at the time of posting). It's not the smallest p18, but it is the sparkiest.

Reductions to SKOPs 36, 72, and 90:

Code: Select all

x = 23, y = 51, rule = B3/S23-a5
o3bo3bo3bo$o3bo3bo3bo$b2o2bobo2b2o7bo$bo3bobo3bo7bobo$o2bobobobo2bo4bo
$b4o3b4o4b7o$21bo$b4o3b4o5bobo$o2bobobobo2bo6bo$bo3bobo3bo$b2o2bobo2b
2o$o3bo3bo3bo$o3bo3bo3bo7$o3bo3bo3bo$o3bo3bo3bo$b2o2bobo2b2o8bo$bo3bob
o3bo7bobo$o2bobobobo2bo6bob2o$b4o3b4o5b2obobo$16bo2bo2bo$b4o3b4o3bo2bo
2bo$o2bobobobo2bo5bo$bo3bobo3bo5bo$b2o2bobo2b2o$o3bo3bo3bo$o3bo3bo3bo
7$o3bo3bo3bo$o3bo3bo3bo$b2o2bobo2b2o7bo$bo3bobo3bo5b5o$o2bobobobo2bo3b
o5bo$b4o3b4o5b5o$21bo$b4o3b4o5bo3bo$o2bobobobo2bo4bo3bo$bo3bobo3bo7b2o
$b2o2bobo2b2o9bo$o3bo3bo3bo$o3bo3bo3bo!

There's also a new p7 billiard table in D4_x4, but it occurred as a trivial p14.
My best attempt at a reduction is shown below:

Code: Select all

x = 22, y = 22, rule = B3/S23-a5
13b2o$13bo$12b3o$9b2o$8bo2b4o$6bo2b2o4bo$5bob2o2b4obo$6bo2bobobobobobo
bo$4bobo2bo2bob2obob3o$3bobob2o4bobobobo$3bobo8b2obo$4bob2o8bobo$2bobo
bobo4b2obobo$3obob2obo2bo2bobo$obobobobobobo2bo$5bob4o2b2obo$6bo4b2o2b
o$7b4o2bo$11b2o$7b3o$8bo$7b2o!

hotcrystal0 · Post by **hotcrystal0** » October 7th, 2026, 4:32 pm

PK22 wrote: October 7th, 2026, 10:51 am Reductions to SKOPs 36, 72, and 90:

Code: Select all

x = 23, y = 51, rule = B3/S23-a5
o3bo3bo3bo$o3bo3bo3bo$b2o2bobo2b2o7bo$bo3bobo3bo7bobo$o2bobobobo2bo4bo
$b4o3b4o4b7o$21bo$b4o3b4o5bobo$o2bobobobo2bo6bo$bo3bobo3bo$b2o2bobo2b
2o$o3bo3bo3bo$o3bo3bo3bo7$o3bo3bo3bo$o3bo3bo3bo$b2o2bobo2b2o8bo$bo3bob
o3bo7bobo$o2bobobobo2bo6bob2o$b4o3b4o5b2obobo$16bo2bo2bo$b4o3b4o3bo2bo
2bo$o2bobobobo2bo5bo$bo3bobo3bo5bo$b2o2bobo2b2o$o3bo3bo3bo$o3bo3bo3bo
7$o3bo3bo3bo$o3bo3bo3bo$b2o2bobo2b2o7bo$bo3bobo3bo5b5o$o2bobobobo2bo3b
o5bo$b4o3b4o5b5o$21bo$b4o3b4o5bo3bo$o2bobobobo2bo4bo3bo$bo3bobo3bo7b2o
$b2o2bobo2b2o9bo$o3bo3bo3bo$o3bo3bo3bo!

Another reduction to SKOP 72:

Code: Select all

x = 17, y = 24, rule = B3/S23-a5
13b3o$10bob2o2bo$8b2obo4bo$10bobo2b2o$13bobo$14bo$13bobo$14bo$14bo3$o
3bo3bo3bo$o3bo3bo3bo$b2o2bobo2b2o$bo3bobo3bo$o2bobobobo2bo$b4o3b4o2$b
4o3b4o$o2bobobobo2bo$bo3bobo3bo$b2o2bobo2b2o$o3bo3bo3bo$o3bo3bo3bo!

Also, these two are tied for SKOP 90:

Code: Select all

x = 33, y = 26, rule = B3/S23-a5
31bo$29b2obo$7b2o18bob2obo$6bobo19bo3bo$5bobob4o12b2o$5bo5b2o18b2o$4b
2obob3o13bo3bo$5bo3bo15bob2obo$5bob2o16bob2o$6b2o18bo4$o3bo3bo3bo7bo3b
o3bo3bo$o3bo3bo3bo7bo3bo3bo3bo$b2o2bobo2b2o9b2o2bobo2b2o$bo3bobo3bo9b
o3bobo3bo$o2bobobobo2bo7bo2bobobobo2bo$b4o3b4o9b4o3b4o2$b4o3b4o9b4o3b
4o$o2bobobobo2bo7bo2bobobobo2bo$bo3bobo3bo9bo3bobo3bo$b2o2bobo2b2o9b2o
2bobo2b2o$o3bo3bo3bo7bo3bo3bo3bo$o3bo3bo3bo7bo3bo3bo3bo!

ThePlayzr wrote: October 7th, 2026, 8:31 am EDIT: new sparky p8 from D4_x4:
Code: Select all
x = 14, y = 14, rule = B3/S23-a5
b2o$3o$3o2b3o$5bobo$5bo2bo$2b4o3bo$2bo3bo3b2o$2b2o3bo3bo$4bo3b4o$5bo2b
o$6bobo$6b3o2b3o$11b3o$11b2o!

P104 LCM:

Code: Select all

x = 32, y = 33, rule = B3/S23-a5
4bo9bo$5b2o5b2o$4bob2o3b2obo$4bo9bo$ob2obo2bobo2bob2obo$bo2bo3bobo3bo
2bo$b2o4bo3bo4b2o$2bo3bo5bo3bo$4b2o7b2o2$4b2o7b2o$2bo3bo5bo3bo$b2o4bo
3bo4b2o$bo2bo3bobo3bo2bo$ob2obo2bobo2bob2obo$4bo9bo$4bob2o3b2obo$5b2o
5b2o$4bo9bo$19b2o$18b3o$18b3o2b3o$23bobo$23bo2bo$20b4o3bo$20bo3bo3b2o
$20b2o3bo3bo$22bo3b4o$23bo2bo$24bobo$24b3o2b3o$29b3o$29b2o!

hotcrystal0 · Post by **hotcrystal0** » October 7th, 2026, 9:20 pm

Some ntcatforce results by LuveelVoom on the Discord:

Code: Select all

x = 81, y = 34, rule = B3/S23-a5
26bo10bo$b2o21b3o10b3o16bo20bo$o2bo16b2obo14bo17b3o18b3o$b2o5bo12bobo
b4o14bo13bo20bo$8b3o10bobobo2bo13bobo$9bo12bo20bo18b2o$2ob2o57bobo$bo
bo47bo2bobo7bo7bo2bobo$bobo21bo15b2o8b4ob3o5b2o6b4ob3o$2bo22b3o12bo2b
o11bo3bo16bo3bo$26bo12bo2bo10bobo2b2o14bobo2b2o$40b2o11b2o19b2o9$28bo
$13b2o13b3o$13bo13b3o$14bo14bo$13b2o$13bo12b2o$15bo10bo$14b2o6b2ob3o$
22bob3o$8bo17bo$2bo3b2ob2o23bo$3o4bobo22b2ob2o$b3o4bo24bobo$bo32bo!

LuveelVoom · Post by **LuveelVoom** » October 7th, 2026, 10:04 pm

Useless, but really funny:

Code: Select all

x = 17, y = 8, rule = B3/S23-a5
2bo6b2ob2o$bobo5bob2obo$bo12b3o$4bo9bobo$2b3o10bo$o9bo$o8bobo$o8b2o!

ThePlayzr · Post by **ThePlayzr** » October 9th, 2026, 7:10 am

Here is the jslife-style pattern collection. Please check over it to make sure nothing is missing/broken/strange. Due to the p34 taking up ~50% of the collection, I would recommend scrolling to the top (so the period you are looking for appears first), and then searching for 'Period (the period you want)'. I will add this to the first post later and will probably update it in the first 3 days of each month (PM me or contact me on discord if I forget).

The pattern collection is now available from the first post.

hotcrystal0 · Post by **hotcrystal0** » October 9th, 2026, 4:28 pm

P525 glider gun using a 3T -> 3T+G over-unity reaction found in overunity_stdin:

Code: Select all

x = 92, y = 68, rule = B3/S23-a5
70b2ob2o$70bo3bo$71bobo$68b4ob4o$67bo2b5o2bo$67b2o7b2o7bo2bo$56b2o25b
6o$52b2obobo24bo$53bobo23bo2bo2b2o$53bob2o22b3o3bobo$54b3o28bobo$56bo
22b5ob2o$47b2ob2o2b3o21bo2bo2bo$47bo3bo3b2o12b2o7bobobobo$48bobo4bo12b
obo8bobobo$45b4ob4obobo10bo$44bo9bob2o7b2obo11b3o$44b2o2b3o2b4o8bob2o
$10b2o44b2o12b2o$9bobo43bobo7bob2o$9bo46bo8b2obo$6b2ob2o57bo$6bob3o57b
obo$10bo58b2o$6bob3o$6b2ob2o$9bo$9bobo$10b2o38b3o$50b3o$51bo5$4b2o$3b
obo80b2o$3bo43b2o37bobo$2obo43b3o38bo$ob2o43b2o38b2ob2o$5b2o80b3obo$o
b2o83bo$2obo55bo27b3obo$3bo53b2o28b2ob2o$3bobo10b3o40bo28bo$4b2o9bobo
bo66bobo$14bobobobo65b2o$14bo2bo2bo$15b4o2b2o$19bobobo$15b3o3bobo$15b
o2bobobo30b2o$18bo34bobo$19b6o30bo$21bo2bo29b2ob2o$54b3obo$54bo$54b3o
bo$54b2ob2o$55bo$53bobo$53b2o$6b2o7b2o$6bo2b5o2bo$7b4ob4o$10bobo$9bo3b
o$9b2ob2o!

Also, P248 and P496 beehive hasslers:

Code: Select all

x = 121, y = 60, rule = B3/S23-a5
28bo71bo$28b3o69b3o$31bo71bo$30b2o70b2o6$47b2o70b2o$26b4o17bo71bo$26b
obobo14bobo69bobo$26bobob2o13b2o70b2o$24b2o3b2o83bo$24b2o3bo85bo$24bo
85bo3b2o$25bo83b2o3b2o$21b2o70b2o13b2obobo$20bobo69bobo14bobobo$20bo71b
o17b4o$19b2o70b2o6$36b2o70b2o$36bo71bo$23bo13b3o55bo13b3o$22bobo14bo54b
obo14bo$9bo12bobo56bo12bobo$9b3o11bo57b3o11bo$12bo71bo$11b2o70b2o6$28b
2o70b2o$7b4o17bo50b4o17bo$7bobobo14bobo50bobobo14bobo$7bobob2o13b2o51b
obob2o13b2o$5b2o3b2o65b2o3b2o$5b2o3bo66b2o3bo$5bo71bo$6bo71bo$2b2o70b
2o$bobo69bobo$bo71bo$2o70b2o6$17b2o70b2o$17bo71bo$18b3o69b3o$20bo71bo
!

mmmmmmmmm · Post by **mmmmmmmmm** » October 9th, 2026, 9:58 pm

hotcrystal0 wrote: October 9th, 2026, 4:28 pm P525 glider gun using a 3T -> 3T+G over-unity reaction found in overunity_stdin:

Code: Select all

x = 92, y = 68, rule = B3/S23-a5
70b2ob2o$70bo3bo$71bobo$68b4ob4o$67bo2b5o2bo$67b2o7b2o7bo2bo$56b2o25b
6o$52b2obobo24bo$53bobo23bo2bo2b2o$53bob2o22b3o3bobo$54b3o28bobo$56bo
22b5ob2o$47b2ob2o2b3o21bo2bo2bo$47bo3bo3b2o12b2o7bobobobo$48bobo4bo12b
obo8bobobo$45b4ob4obobo10bo$44bo9bob2o7b2obo11b3o$44b2o2b3o2b4o8bob2o
$10b2o44b2o12b2o$9bobo43bobo7bob2o$9bo46bo8b2obo$6b2ob2o57bo$6bob3o57b
obo$10bo58b2o$6bob3o$6b2ob2o$9bo$9bobo$10b2o38b3o$50b3o$51bo5$4b2o$3b
obo80b2o$3bo43b2o37bobo$2obo43b3o38bo$ob2o43b2o38b2ob2o$5b2o80b3obo$o
b2o83bo$2obo55bo27b3obo$3bo53b2o28b2ob2o$3bobo10b3o40bo28bo$4b2o9bobo
bo66bobo$14bobobobo65b2o$14bo2bo2bo$15b4o2b2o$19bobobo$15b3o3bobo$15b
o2bobobo30b2o$18bo34bobo$19b6o30bo$21bo2bo29b2ob2o$54b3obo$54bo$54b3o
bo$54b2ob2o$55bo$53bobo$53b2o$6b2o7b2o$6bo2b5o2bo$7b4ob4o$10bobo$9bo3b
o$9b2ob2o!

Smaller, but now p621:

Code: Select all

x = 107, y = 77, rule = B3/S23-a5
82b2ob2o$82bo3bo$83bobo$80b4ob4o$79bo2b5o2bo$79b2o7b2o$68b2o$67bobo$67b
o$64b2ob2o$64bob3o$68bo24b2ob2o$64bob3o24bo3bo$64b2ob2o12b2o11bobo$67b
o12bobo8b4ob4o$67bobo10bo9bo9bo$68b2o7b2obo9b2o2b3o2b2o$77bob2o$59b2o
b2o18b2o$59bo3bo13bob2o$60bobo14b2obo$57b4ob4o14bo$56bo9bo13bobo$56b2o
2b3o2b2o14b2o$13b2o$12bobo$12bo$9b2ob2o$9bob3o$13bo$9bob3o$9b2ob2o$12b
o$12bobo$13b2o3$62b3o$62b3o$63bo5$4b2o$3bobo95b2o$3bo55b2o40bobo$2obo
55b3o41bo$ob2o55b2o41b2ob2o$5b2o95b3obo$ob2o98bo$2obo16bo50bo30b3obo$
3bo11b2o3bo3b2o43b2o31b2ob2o$3bobo9bo9bo45bo31bo$4b2o10b4ob4o76bobo$19b
obo79b2o$18bo3bo$18b2ob2o3$65b2o$65bobo$67bo$66b2ob2o$66b3obo$66bo$66b
3obo$66b2ob2o$67bo$65bobo$65b2o$6b2o7b2o$6bo2b5o2bo$7b4ob4o$10bobo$9b
o3bo$9b2ob2o!

This is a much better and smaller new method to make odd period guns!

ThePlayzr · Post by **ThePlayzr** » October 9th, 2026, 11:01 pm

mmmmmmmmm wrote: October 9th, 2026, 9:58 pm Smaller, but now p621:

Code: Select all

x = 107, y = 77, rule = B3/S23-a5
82b2ob2o$82bo3bo$83bobo$80b4ob4o$79bo2b5o2bo$79b2o7b2o$68b2o$67bobo$67b
o$64b2ob2o$64bob3o$68bo24b2ob2o$64bob3o24bo3bo$64b2ob2o12b2o11bobo$67b
o12bobo8b4ob4o$67bobo10bo9bo9bo$68b2o7b2obo9b2o2b3o2b2o$77bob2o$59b2o
b2o18b2o$59bo3bo13bob2o$60bobo14b2obo$57b4ob4o14bo$56bo9bo13bobo$56b2o
2b3o2b2o14b2o$13b2o$12bobo$12bo$9b2ob2o$9bob3o$13bo$9bob3o$9b2ob2o$12b
o$12bobo$13b2o3$62b3o$62b3o$63bo5$4b2o$3bobo95b2o$3bo55b2o40bobo$2obo
55b3o41bo$ob2o55b2o41b2ob2o$5b2o95b3obo$ob2o98bo$2obo16bo50bo30b3obo$
3bo11b2o3bo3b2o43b2o31b2ob2o$3bobo9bo9bo45bo31bo$4b2o10b4ob4o76bobo$19b
obo79b2o$18bo3bo$18b2ob2o3$65b2o$65bobo$67bo$66b2ob2o$66b3obo$66bo$66b
3obo$66b2ob2o$67bo$65bobo$65b2o$6b2o7b2o$6bo2b5o2bo$7b4ob4o$10bobo$9b
o3bo$9b2ob2o!

This is a much better and smaller new method to make odd period guns!

Reduced to period 573:

Code: Select all

x = 101, y = 71, rule = B3/S23-a5
76b2ob2o$76bo3bo$77bobo$74b4ob4o$73bo2b5o2bo$73b2o7b2o$62b2o$61bobo$61b
o$58b2ob2o$58bob3o$62bo24b2ob2o$58bob3o24bo3bo$58b2ob2o12b2o11bobo$53b
2ob2o3bo12bobo8b4ob4o$53bo3bo3bobo10bo9bo9bo$54bobo5b2o7b2obo9b2o2b3o
2b2o$51b4ob4o11bob2o$50bo9bo15b2o$50b2o3bo3b2o10bob2o$11b2o42bo15b2ob
o$10bobo61bo$10bo63bobo$7b2ob2o63b2o$7bob3o$11bo$7bob3o$7b2ob2o$10bo$
10bobo$11b2o$56b3o$56b3o$57bo5$4b2o$3bobo89b2o$3bo49b2o40bobo$2obo49b
3o41bo$ob2o49b2o41b2ob2o$5b2o89b3obo$ob2o92bo$2obo61bo30b3obo$3bo9b2o
7b2o39b2o31b2ob2o$3bobo7bo2b5o2bo41bo31bo$4b2o8b4ob4o72bobo$17bobo75b
2o$16bo3bo$16b2ob2o3$59b2o$59bobo$61bo$60b2ob2o$60b3obo$60bo$60b3obo$
60b2ob2o$61bo$59bobo$59b2o$6b2o7b2o$6bo2b5o2bo$7b4ob4o$10bobo$9bo3bo$
9b2ob2o!

EDIT: I have reduced the quadratic growth pattern to 9713 cells:

Code: Select all

x = 821, y = 3068, rule = B3/S23-a5
382b3o41b3o$327bo45bo7b2ob2o39b2ob2o$325b2ob2o41b2ob2o5b2ob2o39b2ob2o
$326bobo43bobo$386bo37bo$329bo41bo14b2o35b2o$330b2o37b2o13b2obo35bob2o
$331bo37bo12b2obob2o33b2obob2o$327b3o41b3o9bobo39bobo$326b2obob2o35b2o
bob2o10bo39bo$326b2obo41bob2o10b2o37b2o$329bo41bo12b3o37b3o$329bo41bo
12bobo2b3o27b3o2bobo$328bo2bo2bo31bo2bo2bo13bobobo29bobobo$328bobo2b3o
29b3o2bobo12bo2bo33bo2bo$330bobob2o29b2obobo17bo33bo$330bobo35bobo16b
2o33b2o$331bobo33bobo17bo35bo$331b3o33b3o$331b3o33b3o15b2o11b2o7b2o15b
2o$331b3o33b3o17b2obo6b2ob2o3b2ob2o10bob2o$387bo2b2o5b2obo5bob2o9b2o2b
o$385b4obo29bob4o$400bo5bo2$401b2ob2o$333b2o31b2o31bo2bobo2bo$343b4o5b
4o41b2obobobobob2o$333bobo8bob2o3b2obo10bobo30bobo5bobo$333bo2bo9b2o3b
2o11bo2bo32b2o3b2o$334bo10bo7bo12bo31bo9bo$333b3o29b3o24bo6b3o3b3o10b
o$347bo3bo38bobo6bobo3bobo10bobo$347b2ob2o39b2o25b2o$344b3obobob3o$343b
2obo5bob2o$343b2obo5bob2o$346b2o3b2o$345b3o3b3o$337bo25bo$338b2o21b2o
$337b2o23b2o2$396bo17bo$394bobo17bobo$395b2o17b2o6$341bo17bo$342b2o13b
2o$341b2o15b2o2$400bo9bo$398bobo9bobo$399b2o9b2o6$355bo$353b2o$354b2o
$278b3o$277b2ob2o122bobo$277b2obob2o4b3o32bo78bobobobo$283bo3b2ob2o29b
2ob2o77b2ob2o$281bobob2obob2o30bo3bo6bo$283bobo38bob2o3b2ob2o$283bobo
bo37bobo2bo3bo39b3o$282b2obo41bob2obo40b2ob2o$285bo41bobobo41b2obob2o
4b3o$284b3o40bobo21bo27bo3b2ob2o$284bo41b2obo19b2o26bobob2obob2o$327b
o22b2o27bobo$283bo44bobo48bobobo$283bo44bo49b2obo$283bo97bo$282bobo95b
3o$326b3o51bo$326b3o$327bo51bo$379bo$379bo$378bobo$286bo$285bo$284bob
obo$284bo2bo$285b2o42b3o$328bob2o$328bo2bo50bo$329b2o50bo$380bobobo$380b
o2bo$381b2o2$266b4o5b4o$267bob2o3b2obo$269b2o3b2o$268bo7bo9bo$285bo$270b
o3bo11bo$270b2ob2o11bo$267b3obobob3o9bo41b2o$266b2obo5bob2o6b2o42b2o$
266b2obo5bob2o6bo44b2o50bo$329bobo49bo$268b3o3b3o52b2o51bo$270bo3bo54b
2o51bo$383bo$381b2o$381bo68$378b3o43b3o$377b2ob2o41b2ob2o$377b2ob2o41b
2ob2o2$382bo39bo$382b2o37b2o$380b2obo37bob2o$378b2obob2o35b2obob2o$379b
obo41bobo$381bo41bo$381b2o39b2o$380b3o39b3o$380bobo2b3o29b3o2bobo$382b
obobo31bobobo$382bobo35bobo$382bobobo31bobobo$382bo2bo33bo2bo$382bo3b
o31bo3bo$382b2ob2o31b2ob2o$384bo35bo$384bo35bo5$398b2o7b2o$385bo11b2o
b2o3b2ob2o9bo$386bo10b2obo5bob2o8bo$385bobo29bobo$400bo5bo$385b3o29b3o
$386bo14b2ob2o12bo$399bo2bobo2bo$397b2obobobobob2o$398bobo5bobo$400bo
5bo$398bobo5bobo$399bo7bo$390bo9bo5bo7bo$391bo21bo$389b3o21b3o10$394b
o15bo$395bo13bo$393b3o13b3o3$424b3o$423b2ob2o$414b3o4b2obob2o$413b2ob
2o3bo$413b2obob2obobo$419bobo$417bobob2o$398bo20bobo$399bo21b2o$397b3o
19bob2o$419b3o$419bo2$421bo31bo$421bo29b2ob2o$443bo6bo3bo$420b3o18b2o
b2o3b2obo$442bo3bo2bobo$444bob2obo$402bo42bobobo$403bo43bobo$401b3o43b
ob2o$449bo$418bo27bobo$419bo28bo$307bo45bo62bobobo$305b2ob2o41b2ob2o61b
o2bo$306bobo43bobo63b2o28b3o$448b3o$309bo41bo97bo$310b2o37b2o$311bo37b
o$307b3o41b3o$306b2obob2o35b2obob2o$306b2obo41bob2o$309bo41bo$309bo41b
o$308bo2bo2bo31bo2bo2bo92b3o$308bobo2b3o29b3o2bobo92b2obo$310bobob2o29b
2obobo94bo2bo$310bobo35bobo67bo27b2o$311bobo33bobo67b2o$311b3o33b3o67b
obo$311b3o33b3o67b2obo$311b3o33b3o3$455b2o7b2o$454b2ob2o3b2ob2o$454b2o
bo5bob2o$313b2o31b2o$325b4o5b4o119bo5bo$313bobo10bob2o3b2obo8bobo98b2o
$313bo2bo11b2o3b2o9bo2bo98b2o10b2ob2o$314bo12bo7bo10bo98b2o9bo2bobo2b
o$313b3o29b3o97bobo6b2obobobobob2o$329bo3bo112b2o7bobo5bobo$329b2ob2o
112b2o9b2o3b2o$326b3obobob3o118bobo5bobo$325b2obo5bob2o$325b2obo5bob2o
$328b2o3b2o31b2o$327bo7bo$317bo11bo3bo9bo19b2o$318b2o8bo5bo6b2o20bo3b
2o$317b2o23b2o21b2o$363b2o9$321bo17bo$322b2o13b2o$321b2o15b2o2$353bo$
351b2ob2o$343bo6bo3bo$341b2ob2o3b2obo$342bo3bo2bobo$344bob2obo$345bob
obo$347bobo$325bo9bo11bob2o$326b2o5b2o14bo$325b2o7b2o10bobo$348bo3$348b
3o$348b3o$349bo8$345b3o$345b2obo$345bo2bo$346b2o9$278b3o106b2o4b3o$277b
2ob2o105bobo3bo$277b2ob2o105bo6bo$346b2o$282bo46b3o14b2o$282b2o44b2ob
2o12b2o$280b2obo44b2ob2o12bobo$278b2obob2o61b2o$279bobo45bo18b2o$281b
o44b2o$281b2o10b3o30bob2o$280b3o9b2ob2o28b2obob2o$280bobo2b3o4b2ob2o31b
obo$282bobobo41bo$281bo2bo12bo29b2o$284bo11bob2o27b3o$283b2o11bobo23b
3o2bobo$283bo7b4obo26bobobo$290b2obo2bo28bo2bo$281b2o7b2o4b2o27bo$283b
2obo5bo2bobo27b2o$283bo2b2o6bo31bo$281b4obo5bo$292b2o33b2o$291b3o29bo
b2o$291bobo2b3o23b2o2bo$293bobobo6b2o7b2o8bob4o$292bo2bo7b2ob2o3b2ob2o
$295bobo5b2obo5bob2o$295b2o$294b2o10bo5bo$288bo3bob3o$286bobo4bo13b2o
b2o$287b2o4bo2b2o7bo2bobo2bo$292bob2obo5b2obobobobob2o$294b2o8bobo5bo
bo6bo$306b2o3b2o8bobo$305bo7bo7b2o2$492bo$304bo9bo175b2ob2o$303bo11bo
175bobo$297bo6bo9bo$292bo3bo2bo4bo9bo126bo48bo$290bobo5b2o139b2ob2o44b
2o$291b2o3bobo141bobo45bo$296bobo191b3o$317bo125bo43b2obob2o$317bobo124b
2o44bob2o$317b2o126bo31bo12bo$441b3o31b2ob2o10bo$440b2obob2o29bobo6bo
2bo2bo$430b3o7b2obo40b3o2bobo$429b2ob2o9bo31bo8b2obobo$302bo126b2ob2o
9bo29b2o12bo$296bo6bo138bo2bo2bo23b2obo11b2o$294bobo4b3o75b3o46bo13bo
bo2b3o22b2obo2b2o$295b2o36bo44b2ob2o44b2o15bobob2o25bob2ob2o7bo$331b2o
b2o42b2ob2o44bob2o15bo28bob2obo5bo$323bo6bo3bo91b2obob2o12b2o27bobo8b
o3b2o$321b2ob2o3b2obo50bo45bobo42bobo3bo4b3ob2o$322bo3bo2bobo51b2o44b
o14bo33bo6bo$324bob2obo51b2obo30b3o10b2o17bo31bo6bo2bo$325bobobo49b2o
bob2o28b2ob2o9b3o12b2o3bo30bo$327bobo50bobo31b2ob2o4b3o2bobo12b2ob3o25b
o2bo2bo$327bob2o51bo41bobobo19bo24b3o2bobo$306bo22bo52b2o29bo12bo2bo14b
o2bo8b4o5b4o4b2obobo$300bo6bo18bobo52b3o27b2obo11bo30bob2o3b2obo8bo$298b
obo4b3o20bo52bobo2b3o23bobo11b2o31b2o3b2o9b2obo$299b2o82bobobo26bob4o
7bo30bo7bo9bo2bo$382bo2bo28bo2bob2o54bo7bobo$328b3o54bo27b2o4b2o7b2o30b
o3bo8bo2bobobo2b2o$328b3o53b2o27bobo2bo5bob2o32b2ob2o9b6o4bo$329bo54b
o31bo6b2o2bo29b3obobob3o7b4o$418bo5bob4o18bobo5b2obo5bob2o$382b2o33b2o
30b2o5b2obo5bob2o$384b2obo29b3o29bo9bo5bo$384bo2b2o23b3o2bobo38bo7bo$
382b4obo8b2o7b2o6bobobo$304bo90b2ob2o3b2ob2o7bo2bo$302bobo90b2obo5bob
2o5bobo$303b2o20b3o86b2o58bo$307bo17b2obo69bo5bo10b2o56bobo3bobo49b3o
$307bo17bo2bo85b3obo3bo49b3o4b2o49b2ob2o$326b2o71b2ob2o13bo4bobo48b3o
4bo40b3o4b2obob2o$306b3o88bo2bobo2bo7b2o2bo4b2o49bobo44b2ob2o3bo$395b
2obobobobob2o5bob2obo33bobo65b2obob2obobo$389bo6bobo5bobo8b2o36b2o71b
obo$387bobo8b2o3b2o48bo70bobob2o$388b2o7bo7bo120bobo$528b2o$526bob2o$
396bo9bo119b3o$395bo11bo62bo55bo$396bo9bo6bo54b2o5bobo$396bo9bo4bo2bo
3bo50b2o4b2o51bo$326b2o83b2o5bobo55bo51bo$326b2o84bobo3b2o17b3o$325b2o
85bobo21b2ob2o15bobo68b3o$325bobo65bo42b2obob2o4b3o7b2o$326b2o63bobo48b
o3b2ob2o6bo$326b2o64b2o46bobob2obob2o$442bobo$442bobobo$441b2obo$444b
o21bo58bo$408bo34b3o18b2o5bobo52bo$407bo6bo28bo21b2o4b2o50bobobo$407b
3o4bobo55bo51bo2bo$377bo36b2o26bo82b2o$375b2ob2o62bo17bobo$376bo3bo6b
o54bo18b2o$378bob2o3b2ob2o51bobo17bo$379bobo2bo3bo$381bob2obo$381bobo
bo$381bobo149b4o5b4o$380b2obo150bob2o3b2obo$381bo22bo62bobo66b2o3b2o$
382bobo18bo6bo34bo21b2o66bo7bo$382bo20b3o4bobo31bo23bo$410b2o31bobobo
89bo3bo$443bo2bo16b3o59bo11b2ob2o$380b3o61b2o17b3o58b2o8b3obobob3o$380b
3o81bo59bobo6b2obo5bob2o$381bo142b2obo5b2obo5bob2o$536b2o3b2o2$534b2o
bo3bob2o$535bobo3bobo2$406bo$406bobo$383b3o20b2o$382bob2o17bo41bo$382b
o2bo17bo40bo$383b2o60bo$402b3o40bo$446bo$444b2o$444bo3$513bo$512b2o$512b
obo3$383b2o$383b2o$384b2o$383bobo$383b2o$383b2o59$275b3o$274b2ob2o$274b
2obob2o4b3o$280bo3b2ob2o$278bobob2obob2o$280bobo$279b2obobo$280bobo83b
o$279b2o81bo2b2o$279b2obo78bo5bo$280b3o79b2o2bo$282bo80b4o2$280bo$280b
o2$279b3o$347b3o$346b2ob2o$346b2o2bo$347bobo$347b3o2$283bo$282bo$281b
obobo$281bo2bo$282b2o7$263b4o5b4o$264bob2o3b2obo$266b2o3b2o$265bo7bo$
196b3o$195b2ob2o67bo3bo$195b2ob2o67b2ob2o11bo$264b3obobob3o8b2o$200bo
46b3o13b2obo5bob2o6bobo$200b2o44b2ob2o12b2obo5bob2o5bob2o$198b2obo44b
2ob2o15bo5bo$196b2obob2o62bo7bo$197bobo45bo$199bo44b2o$199b2o10b3o30b
ob2o$198b3o9b2ob2o28b2obob2o164bo$198bobo2b3o4b2ob2o31bobo163b2o5bobo
$200bobobo41bo166b2o4b2o$199bo2bo12bo29b2o173bo$202bo11bob2o27b3o$201b
2o11bobo23b3o2bobo$201bo7b4obo26bobobo$208b2obo2bo28bo2bo$199b2o7b2o4b
2o27bo$201b2obo5bo2bobo27b2o129bo$201bo2b2o6bo31bo123bo6bo$199b4obo5b
o155bobo4b3o$210b2o33b2o120b2o$209b3o29bob2o$209bobo2b3o23b2o2bo$211b
obobo6b2o7b2o8bob4o$210bo2bo7b2ob2o3b2ob2o$213bobo5b2obo5bob2o$213b2o
162bo$212b2o10bo5bo145b2o$206bo3bob3o161bobo$204bobo4bo13b2ob2o$205b2o
4bo2b2o7bo2bobo2bo$210bob2obo5b2obobobobob2o$212b2o8bobo5bobo6bo$224b
o5bo8bobo$224b2o3b2o8b2o2$223b2o5b2o3$215bo$210bo3bo2bo$208bobo5b2o$209b
2o3bobo$214bobo$235bo$235bobo$235b2o5$220bo$214bo6bo$212bobo4b3o$213b
2o2$231bo$231bobo$231b2o5$224bo$218bo6bo$216bobo4b3o$217b2o36bo$253b2o
b2o83b3o$227bo17bo6bo3bo83bob3o$227bobo13b2ob2o3b2obo84b2o$227b2o15bo
3bo2bobo85bo3b2o$246bob2obo87b3o$247bobobo$249bobo$249bob2o$251bo$222b
o25bobo$220bobo27bo$221b2o$225bo$225bo24b3o$250b3o$224b3o24bo8$247b3o
$247b2obo$247bo2bo$248b2o12$248b2o$248b2o$247b2o$247bobo$248b2o$248b2o
12$145bo$143b2ob2o$144bo3bo6bo$146bob2o3b2ob2o$147bobo2bo3bo$149bob2o
bo$149bobobo$149bobo$148b2obo$149bo$150bobo$150bo3$148b3o$148b3o$149b
o$533b3o$532b2ob2o$523b3o4b2obob2o$522b2ob2o3bo$522b2obob2obobo$528bo
bo$526bobob2o$151b3o333bo40bobo$150bob2o331b2ob2o40b2o$150bo2bo332bob
o39bob2o$151b2o375b3o$436bo48bo42bo$434b2ob2o44b2o$435bobo45bo46bo$241b
o243b3o42bo$240b3o2b2o191bo43b2obob2o$239bobo2bo194b2o44bob2o40b3o$133b
2o7b2o95b2o199bo31bo12bo$132b2ob2o3b2ob2o291b3o31b2ob2o10bo$132b2obo5b
ob2o290b2obob2o29bobo6bo2bo2bo$435b2obo40b3o2bobo$135bo5bo296bo31bo8b
2obobo$151b2o285bo29b2o12bo$136b2ob2o10b2o284bo2bo2bo23b2obo11b2o43bo
$134bo2bobo2bo9b2o283bobo2b3o22b2obo2b2o53bo$132b2obobobobob2o6bobo285b
obob2o25bob2ob2o7bo40bobobo$133bobo5bobo7b2o288bo28bob2obo5bo44bo2bo$
135b2o3b2o9b2o287b2o27bobo8bo3b2o41b2o$133bobo5bobo325bobo3bo4b3ob2o$
439bo33bo6bo$442bo31bo6bo2bo$438b2o3bo30bo$438b2ob3o25bo2bo2bo$443bo24b
3o2bobo$439bo2bo8b4o5b4o4b2obobo61b4o5b4o$452bob2o3b2obo8bo64bob2o3b2o
bo$454b2o3b2o9b2obo64b2o3b2o$453bo7bo9bo2bo62bo7bo$470bo7bobo$455bo3b
o8bo2bobobo2b2o59bo3bo$455b2ob2o9b6o4bo47bo11b2ob2o$452b3obobob3o7b4o
52b2o8b3obobob3o$443bobo5b2obo5bob2o62bobo6b2obo5bob2o$444b2o5b2obo5b
ob2o62b2obo5b2obo5bob2o$444bo9b2o3b2o77bo5bo$453b3o3b3o75bo7bo4$469bo
$468bobo3bobo$467b3o4b2o$468b3o4bo$468bobo$447bobo$448b2o$448bo5$465b
o$463b2o5bobo$464b2o4b2o$471bo2$451bobo$452b2o$452bo5$461bo$459b2o5bo
bo$460b2o4b2o$467bo$428b3o$427b2ob2o23bobo$427b2obob2o4b3o15b2o$433bo
3b2ob2o14bo$431bobob2obob2o$433bobo$433bobobo$432b2obo$203b3o229bo$205b
o228b3o25bobo$204bo229bo27b2o$463bo$433bo$433bo24b3o$433bo24b3o$432bo
bo24bo7$367bo68bo$367b2o66bo$366bo2bo64bobobo$365b4o65bo2bo$363bo3b2o
66b2o$363bo2bo$365bo2$347b3o$347bob2o$347bo3bo115bo$350b2o114b2o$348b
ob2o114bobo$348bobo2$436bo$435bo$436bo$436bo$437bo$435b2o$435bo33$373b
3o$372bo2bo$372b3o$373b2o$373b2o43$340b3o$340bo2bo$341b3o$341b2o$341b
2o32$328bo$322bo6bo$320bobo4b3o$321b2o6$331bo$330b2o$312b2o16bobo2$311b
o2bo$310b2obo$308b2ob2o$309bob2o$310bo44$290bo$288b2ob2o$289bo3bo6bo$
291bob2o3b2ob2o$292bobo2bo3bo$294bob2obo$294bobobo$294bobo$293b2obo$294b
o$295bobo$295bo3$293b3o$293b3o$294bo8$296b3o$295bob2o$295bo2bo$296b2o
6$408b3o43b3o$278b2o7b2o118b2ob2o41b2ob2o$277b2ob2o3b2ob2o117b2ob2o41b
2ob2o$277b2obo5bob2o$412bo39bo$280bo5bo125b2o37b2o$296b2o112b2obo37bo
b2o$281b2ob2o10b2o110b2obob2o35b2obob2o$279bo2bobo2bo9b2o110bobo41bob
o$277b2obobobobob2o6bobo112bo41bo$278bobo5bobo7b2o113b2o39b2o$280bo5b
o9b2o112b3o39b3o$280b2o3b2o123bobo2b3o29b3o2bobo$280b2o3b2o125bobobo31b
obobo$412bobo35bobo$412bobobo31bobobo$412bo2bo33bo2bo$412bo3bo31bo3bo
$412b2ob2o31b2ob2o$414bo35bo$414bo35bo5$428b2o7b2o$415bo11b2ob2o3b2ob
2o9bo$416bo10b2obo5bob2o8bo$415bobo29bobo$430bo5bo$415b3o29b3o$416bo14b
2ob2o12bo$429bo2bobo2bo$427b2obobobobob2o$428bobo5bobo$430bo5bo$428bo
bo5bobo$429bo7bo$420bo9bo5bo7bo$421bo21bo$419b3o21b3o3$366b2o$364b2ob
o$364bo2bo$365b3o$366bo3$350b2o72bo15bo$347b3obo73bo13bo$347b3obo71b3o
13b3o$349b2o9$428bo$429bo$427b3o2$251bo45bo$249b2ob2o41b2ob2o$250bobo
43bobo2$253bo41bo$254b2o37b2o$255bo37bo$251b3o41b3o$250b2obob2o35b2ob
ob2o133bo$250b2obo41bob2o134bo$253bo41bo57b2obo74b3o$253bo41bo57bo2bo
$252bo2bo2bo31bo2bo2bo58bo$252bobo2b3o29b3o2bobo54bo3bo$254bobob2o29b
2obobo56bo2bo$254bobo35bobo59bo$255bobo33bobo$255b3o33b3o$255b3o33b3o
$255b3o33b3o6$257b2o31b2o$269b4o5b4o$257bobo10bob2o3b2obo8bobo82bo$257b
o2bo11b2o3b2o9bo2bo80b2o$258bo12bo7bo10bo81b3o$257b3o29b3o79b2o$273bo
3bo93b2ob3o$273b2ob2o94b2ob2o$270b3obobob3o92b3o$269b2obo5bob2o$269b2o
bo5bob2o$272bo5bo$271bo7bo$261bo25bo$262b2o21b2o$261b2o23b2o10$265bo17b
o247bo$266b2o13b2o246b2ob2o$265b2o15b2o237bo6bo3bo$519b2ob2o3b2obo$520b
o3bo2bobo$522bob2obo$523bobobo$525bobo$525bob2o$527bo$524bobo$478b3o45b
o$269bo9bo197b2ob2o$270b2o5b2o189b3o4b2obob2o$269b2o7b2o187b2ob2o3bo50b
3o$467b2obob2obobo48b3o$301bo171bobo51bo$299b2ob2o167bobob2o$291bo6bo
3bo170bobo$289b2ob2o3b2obo174b2o$290bo3bo2bobo173bob2o$292bob2obo175b
3o$293bobobo175bo$295bobo$295bob2o42bo133bo47b3o$297bo44b2o131bo47b2o
bo$294bobo44b3o179bo2bo$296bo46b2o129b3o47b2o$339b3ob2o$339b2ob2o$296b
3o41b3o$296b3o$297bo2$472bo60b2o7b2o$473bo58b2ob2o3b2ob2o$277bo192bob
obo57b2obo5bob2o$278b2o191bo2bo$277b2o193b2o61bo5bo$524b2o$293b3o228b
2o10b2ob2o$293b2obo226b2o9bo2bobo2bo$293bo2bo226bobo6b2obobobobob2o$294b
2o228b2o7bobo5bobo$524b2o9b2o3b2o$533bobo5bobo3$281bo$282b2o$281b2o$472b
o$471b2o$471bobo$471b2obo$294b2o$294b2o$293b2o$293bobo$294b2o$294b2o5$
327b3o$326bo2bo$326b3o$327b2o$327b2o5$311b2o$311bobo$310bo2b2o$310b4o
25$465b2o4b3o$465bobo3bo$465bo6bo55$493b3o43b3o$492b2ob2o41b2ob2o$492b
2ob2o41b2ob2o2$497bo39bo$497b2o37b2o$495b2obo37bob2o$493b2obob2o35b2o
bob2o$494bobo41bobo$496bo41bo$496b2o39b2o$495b3o39b3o$495bobo2b3o29b3o
2bobo$497bobobo31bobobo$497bobo35bobo$497bobobo31bobobo$497bo2bo33bo2b
o$497bo3bo31bo3bo$497b2ob2o31b2ob2o$499bo35bo$499bo35bo4$628bo$513b2o
7b2o102b2ob2o$500bo11b2ob2o3b2ob2o9bo83bo6bo3bo$501bo10b2obo5bob2o8bo
82b2ob2o3b2obo$500bobo29bobo82bo3bo2bobo$515bo5bo97bob2obo$500b3o29b3o
85bobobo$501bo14b2ob2o12bo88bobo$514bo2bobo2bo99bob2o$512b2obobobobob
2o99bo$513bobo5bobo97bobo$515bo5bo101bo$515b2o3b2o$515b2o3b2o$366bo138b
o23bo93b3o$364b2ob2o137bo21bo94b3o$363bobo138b3o21b3o93bo$364bobo$364b
o$364b3o$365bo$365bo$348b2o$347b3o$347bobobobo266b3o$347b2o2b2o267b2o
bo$348b5o156bo15bo94bo2bo$349b2o159bo13bo96b2o$508b3o13b3o6$630b2o7b2o
$629b2ob2o3b2ob2o$629b2obo5bob2o2$513bo7bo110bo5bo$514bo5bo100b2o$512b
3o5b3o98b2o10b2ob2o$620b2o9bo2bobo2bo$620bobo6b2obobobobob2o$543b3o75b
2o7bobo5bobo$542b2ob2o74b2o9b2o3b2o$533b3o4b2obob2o83bobo5bobo$532b2o
b2o3bo$354bo177b2obob2obobo$353bobo182bobo$355b2o179bobob2o$356bo181b
obo$353bo2bo183b2o$352b2ob2o181bob2o$354bo183b3o$538bo2$540bo$540bo2$
539b3o4$340b3o$339b2ob2o$339b2o2bo$340bobo194bo$340b3o195bo$535bobobo
$371b2o163bo2bo$372b3o162b2o$371bo3bo$371b3ob2o$375b2o$373b2o9$537bo$
536b2o$536bobo$212bo45bo270bo6b2obo$210b2ob2o41b2ob2o269bo$211bobo43b
obo268b3o2$214bo41bo$215b2o37b2o$216bo37bo$212b3o41b3o$211b2obob2o35b
2obob2o$211b2obo41bob2o$214bo41bo$214bo41bo$213bo2bo2bo31bo2bo2bo$213b
obo2b3o29b3o2bobo$215bobob2o29b2obobo$215bobo35bobo218b3o$216bobo33bo
bo218b2ob2o90b3o$216b3o33b3o218b2ob2o90bo$216b3o33b3o314bo$216b3o33b3o
168b3o46bo$422b2ob2o44b2o$422b2ob2o44bob2o$470b2obob2o$427bo45bobo$427b
2o44bo$218b2o31b2o172b2obo30b3o10b2o$230b4o5b4o180b2obob2o28b2ob2o9b3o
$218bobo10bob2o3b2obo8bobo171bobo31b2ob2o4b3o2bobo$218bo2bo11b2o3b2o9b
o2bo173bo41bobobo$219bo12bo7bo10bo174b2o29bo12bo2bo$218b3o29b3o90b2o80b
3o27b2obo11bo$234bo3bo102b3o81bobo2b3o23bobo11b2o$234b2ob2o101bo3bo82b
obobo26bob4o7bo$231b3obobob3o97b2ob3o81bo2bo28bo2bob2o$230b2obo5bob2o
96b2o88bo27b2o4b2o7b2o$230b2obo5bob2o98b2o85b2o27bobo2bo5bob2o$233bo5b
o188bo31bo6b2o2bo$232bo7bo221bo5bob4o$222bo25bo177b2o33b2o$223b2o21b2o
180b2obo29b3o$222b2o23b2o179bo2b2o23b3o2bobo$426b4obo8b2o7b2o6bobobo$
439b2ob2o3b2ob2o7bo2bo$439b2obo5bob2o5bobo$458b2o$442bo5bo10b2o$458b3o
bo3bo$443b2ob2o13bo4bobo$441bo2bobo2bo7b2o2bo4b2o$439b2obobobobob2o5b
ob2obo$226bo17bo188bo6bobo5bobo8b2o$227b2o13b2o187bobo8b2o3b2o$226b2o
15b2o187b2o7bo7bo3$440bo9bo$439bo11bo$440bo9bo6bo$440bo9bo4bo2bo3bo$455b
2o5bobo$456bobo3b2o$456bobo$230bo9bo196bo$231b2o5b2o195bobo$230b2o7b2o
195b2o2$262bo65bo$260b2ob2o61b2o$252bo6bo3bo62b3o$250b2ob2o3b2obo63b2o
125bo$251bo3bo2bobo64b2ob3o120bo6bo$253bob2obo67b2ob2o120b3o4bobo$254b
obobo68b3o128b2o$256bobo$256bob2o$258bo$255bobo52bo$257bo51bob3o$309b
2o2b3o$308bo2bobo$257b3o49bo$257b3o49bo138bo$258bo188bo6bo$447b3o4bob
o$417bo36b2o$415b2ob2o$238bo177bo3bo6bo$239b2o177bob2o3b2ob2o$238b2o179b
obo2bo3bo$421bob2obo$254b3o164bobobo$254b2obo163bobo$254bo2bo162b2obo
$255b2o164bo$422bobo25bo$422bo27bobo$450b2o$447bo$242bo177b3o24bo$243b
2o175b3o$242b2o177bo24b3o5$255b2o$255b2o$254b2o$254bobo166b3o$255b2o165b
ob2o$255b2o165bo2bo$423b2o12$423b2o$423b2o$424b2o$423bobo$423b2o$423b
2o24$426b2o4b3o$426bobo3bo$426bo6bo45$366b2o2$363b2o$363bo3b2o$365b2o
$363b2o4$346b2o$346b3o$345bo3bo$345bobobo$347bob2o$347b2obo8$180b3o$179b
2ob2o$179b2ob2o2$184bo46b3o$184b2o44b2ob2o$182b2obo44b2ob2o$180b2obob
2o$181bobo45bo$183bo44b2o$183b2o10b3o30bob2o$182b3o9b2ob2o28b2obob2o$
182bobo2b3o4b2ob2o31bobo$184bobobo41bo$183bo2bo12bo29b2o125b2o$186bob
o9bob2o27b3o$187bo10bobo23b3o2bobo123bo2bo$186bo6b4obo26bobobo124b2ob
o$184bo7b2obo2bo28bo2bo121b2ob2o$184bobo5b2o4b2o25bobo125bob2o$184bo2b
2o5bo2bobo26bo127bo$187bo8bo30bo$185bo3b2o3bo34bo$185bobo6b2o31bobo$187b
2o4b3o29b2o2bo$193bobo2b3o25bo$195bobobo6b2o7b2o6b2o3bo111b3o$194bo2b
o7b2ob2o3b2ob2o8bobo111bob2o$197bo7b2obo5bob2o7b2o113bo3bo$196b2o145b
2o$196bo11bo5bo126bob2o$341bobo$190bo3b2o13b2ob2o$191bo4b2obo7bo2bobo
2bo$189b3o4bo2b2o4b2obobobobob2o154b2o$194b4obo6bobo5bobo153b2ob2o$208b
o5bo8bo146bo3bo$208b2o3b2o7bo147b5o$208b2o3b2o7b3o147b2o6$194bo6bo$195b
o3bobo$193b3o4b2o2$219bo$218bo$218b3o6$198bo6bo$199bo3bobo29bo$197b3o
4b2o27b2ob2o$225bo6bo3bo$223b2ob2o3b2obo$224bo3bo2bobo$226bob2obo$227b
obobo$229bob2o$228bo2$229bobo$202bo6bo18b5o$203bo3bobo19bo$201b3o4b2o
3$230bobo$231bo$231bo69b3o$300b2ob2o$300b2o2bo$301bobo$301b3o$206bo$207b
o134b2o$205b3o19b3o111b2ob2o$227b2obo110bo3bo$227bo2bo110b5o$209bo18b
2o112b2o$208b3o12$227b2o$227bobo$226bo2bo$227b3o19$325b2o$326b3o$325b
o3bo$325b3ob2o$329b2o$327b2o2$309b2obo$309bo2bo$311bo$307bo3bo$307bo2b
o$310bo54$223b3o$222b2ob2o$222b2obob2o4b3o$228bo3b2ob2o$226bobob2obob
2o$228bobo$227b2obobo$228bobo$227b2o$227b2obo$228b3o$230bo2$228bo$228b
o2$227b3o7$231bo$230bo$229bobobo$229bo2bo$230b2o7$211b4o5b4o$212bob2o
3b2obo$214b2o3b2o$213bo7bo2$215bo3bo$215b2ob2o11bo$212b3obobob3o8b2o$
211b2obo5bob2o6bobo$211b2obo5bob2o5bob2o$214bo5bo$213bo7bo20$366bo$362b
o2b2o$361bo5bo$362b2o2bo$363b4o6$347b3o$346b2ob2o$346b2o2bo$347bobo$347b
3o3$312bo$311bo6bo$311b3o4bobo$318b2o$270bo6bo$271bo3bobo$269b3o4b2o13$
355b2o$355bobo$354bo2b2o$354b4o5$291bo$291b2o$290bobo2$343b2o$340b3ob
o$340b3obo$342b2o3$372b3o$371b3obo$375b2o$371b2o3bo$374b3o36$301b3o$301b
ob2o$301bo3bo$304b2o$302bob2o$302bobo2$341b3o$340bob3o$339b2o$339bo3b
2o$339b3o36$326b2o$324b2ob2o$324bo3bo$324b5o$326b2o$310bo$309bobo$311b
2o$312bo$309bo2bo$308b2ob2o$310bo40$740bo43bo$738b2ob2o39b2ob2o$739bo
bo41bobo2$742bo39bo$743b2o35b2o$744bo35bo$740b3o39b3o$739b2obob2o33b2o
bob2o$739b2obo39bob2o$742bo39bo$742bo39bo$741bo2bo2bo29bo2bo2bo$741bo
bo2b3o27b3o2bobo$743bobob2o27b2obobo$745bo33bo$745bo33bo$745b2o31b2o3$
742b2o2bo31bo2b2o$744b4o29b4o$745b2obo27bob2o$747bo7b4o5b4o9bo$746bob
o7bob2o3b2obo9bobo$745b3o10b2o3b2o12b3o$757bo7bo2$759bo3bo$759b2ob2o$
756b3obobob3o$755b2obo5bob2o$755b2obo5bob2o$758bo5bo$748bobo6bo7bo8bo
bo$749b2o23b2o$749bo25bo10$752bobo15bobo$753b2o15b2o$753bo17bo10$766b
obo$766b2o$767bo6$394b3o$393b2ob2o$384b3o4b2obob2o$383b2ob2o3bo$383b2o
bob2obobo368bobo$389bobo370b2o$387bobobo340bo30bo$389bob2o337b2ob2o$389b
o341bo3bo6bo$388b3o342bob2o3b2ob2o$390bo343bobo2bo3bo$736bob2obo$391b
o344bobobo$391bo343b2obo$367bo23bo347bo$367b2o21bobo$366bo2bo366bobo$
365b4o366b5o$363bo3b2o369bo$363bo2bo$365bo2$347b3o38bo346bobo$347bob2o
38bo346bo$347bo3bo34bobobo345bo$350b2o35bo2bo$348bob2o36b2o$348bobo4$
738b3o$737bob2o$737bo2bo$396b4o5b4o329b2o$397bob2o3b2obo$399b2o3b2o$388b
o9bo7bo$389bo$388bo11bo3bo$388bo11b2ob2o$303bo83bo9b3obobob3o$304b2o82b
2o6b2obo5bob2o$303b3o83bo6b2obo5bob2o$305b2o92bo5bo$301b3ob2o91bo7bo$
301b2ob2o$302b3o434b2o$738bobo$354bo383bo2bo$353bob3o380b3o$353b2o2b3o
$352bo2bobo$353bo$353bo7$341b2o$340b3o$340bobobobo$340b2o2b2o$341b5o$
342b2o2$373b3o$372bo2bo$372b3o$373b2o$373b2o37$304b2o$301b3obo$301b3o
bo$303b2o3$340b3o$340bo2bo$341b3o$341b2o$151bo45bo143b2o$149b2ob2o41b
2ob2o$150bobo43bobo2$153bo41bo$154b2o37b2o$155bo37bo$151b3o41b3o$150b
2obob2o35b2obob2o$150b2obo41bob2o$153bo41bo$153bo41bo$152bo2bo2bo31bo
2bo2bo$152bobo2b3o29b3o2bobo$154bobob2o29b2obobo45b3o43b3o$154bobo35b
obo44b2ob2o41b2ob2o81b2o$155bobo33bobo45b2ob2o41b2ob2o79b5o$155b3o33b
3o175b2o2b2o$155b3o33b3o50bo39bo83bobobobo$155b3o33b3o50b2o37b2o87b3o
$242b2obo37bob2o85b2o$240b2obob2o35b2obob2o$241bobo41bobo$243bo41bo$243b
2o39b2o$157b2o31b2o50b3o39b3o$167b4o5b4o62bobo2b3o29b3o2bobo$157bobo8b
ob2o3b2obo10bobo52bobobo31bobobo$157bo2bo9b2o3b2o11bo2bo51bo2bo35bo2b
o$158bo10bo7bo12bo54bobo33bobo$157b3o29b3o54bo35bo$171bo3bo70bo35bo$171b
2ob2o68bo2bo33bo2bo$168b3obobob3o65bo2bo33bo2bo$167b2obo5bob2o445b3o43b
3o$167b2obo5bob2o66bo35bo43b3o295b2ob2o41b2ob2o$170bo5bo148b3obo294b2o
b2o41b2ob2o$170b2o3b2o70bo33bo47b2o$161bo7bobo3bobo9bo59bo33bo43b2o3b
o298bo39bo$162b2o21b2o58b3o12b2o7b2o10b3o44b3o298b2o37b2o$161b2o23b2o
57b3obo9b2ob2o3b2ob2o7bob3o343b2obo37bob2o$247b2obo8b2obo5bob2o6bob2o
343b2obob2o35b2obob2o$247b3o29b3o344bobo41bobo$248bo13bo5bo11bo31b2o314b
o41bo$628b2o39b2o$263b2ob2o43bo2bo312b3o39b3o$261bo2bobo2bo40b2obo313b
obo2b3o29b3o2bobo$259b2obobobobob2o36b2ob2o316bobobo31bobobo$260bobo5b
obo38bob2o315bo2bo35bo2bo$262bo5bo41bo320bobo31bobo$165bo17bo76bobo5b
obo359b3o33b3o$166b2o13b2o69bo8bo7bo6bo353bo37bo$165b2o15b2o66bobo9bo
5bo7bobo351b2o35b2o$251b2o23b2o353bo35bo2$151bo117b2o$149b2ob2o116bo360b
3o31b3o$150bo3bo6bo107bo4b2o353bo2b2o31b2o2bo$152bob2o3b2ob2o106bo2bo
2bo352bob2ob2o27b2ob2obo$153bobo2bo3bo105b3o2bo357bo2b2o7b2o7b2o9b2o2b
o$155bob2obo109b2o361b2o7b2ob2o3b2ob2o9b2o$155bobobo471bobo8b2obo5bob
2o10bobo$155bobo11bo9bo452bo33bo$154b2obo12b2o5b2o77bo388bo5bo$155bo13b
2o7b2o74bobo$156bobo96b2o389b2ob2o$156bo487bo2bobo2bo$642b2obobobobob
2o$643bobo5bobo$154b3o479bo8bo5bo10bo$154b3o480bo5bobo5bobo7bo$155bo479b
3o6bob2ob2obo8b3o$643bobobobobobo$642b2o2b2ob2o2b2o$641b2o2b3ob3o2b2o
$260bo7bo$129b3o126bobo7bobo$128b2ob2o126b2o7b2o$128b2obob2o4b3o$134b
o3b2ob2o14b3o$132bobob2obob2o13bob2o130b3o$134bobo19bo2bo129b2ob2o346b
o17bo$134bobobo18b2o121b3o4b2obob2o347bo15bo$133b2obo142b2ob2o3bo351b
3o15b3o$136bo142b2obob2obobo$135b3o147bobo$135bo147bobobo$285bob2o$134b
o150bo$134bo149b3o$134bo151bo$133bobo$287bo$287bo356bo9bo$157b2o128bo
357bo7bo$157b2o127bobo354b3o7b3o$158b2o$157bobo$137bo19b2o$136bo20b2o
$135bobobo$135bo2bo$136b2o146bo$285bo$282bobobo$283bo2bo$63bo45bo174b
2o362bobo$61b2ob2o41b2ob2o535b2ob2o$62bobo43bobo2$65bo41bo9b4o5b4o$66b
2o37b2o11bob2o3b2obo$67bo37bo14b2o3b2o490b3o$63b3o41b3o9bo7bo9bo478b2o
b2o$62b2obob2o35b2obob2o25bo479b2obob2o4b3o$62b2obo41bob2o10bo3bo11bo
484bo3b2ob2o$65bo41bo13b2ob2o11bo482bobob2obob2o$65bo41bo10b3obobob3o
9bo145bo337bobo$64bo2bo2bo31bo2bo2bo8b2obo5bob2o6b2o147bo335b2obobo$64b
obo2b3o29b3o2bobo8b2obo5bob2o6bo147bo337bobo$66bobob2o29b2obobo13b2o3b
2o157bo336b2ob2o$66bobo35bobo13bo5bo156bo340bo$67bobo33bobo13b2o5b2o156b
2o338b2o$67b3o33b3o179bo339bo$67b3o33b3o516bo$67b3o33b3o515b3o2$621b3o
$621bobo3$69b2o31b2o$81b4o5b4o$69bobo10bob2o3b2obo8bobo521bo$69bo2bo11b
2o3b2o9bo2bo520bo$70bo12bo7bo10bo520bobobo$69b3o29b3o519bo2bo$85bo3bo
534b2o$85b2ob2o$82b3obobob3o$81b2obo5bob2o$81b2obo5bob2o$84bo5bo$83bo
7bo$73bo25bo$74b2o21b2o$73b2o23b2o2$623bo$625bo$625b2o$622b2obo$622b2o
2bo$624b2o$172bo$172b2o$77bo17bo75bobo$78b2o13b2o$77b2o15b2o2$109bo$107b
2ob2o60b2o$99bo6bo3bo62b2o$97b2ob2o3b2obo63bo$98bo3bo2bobo$100bob2obo
$101bobobo$103bobo$81bo9bo11bob2o$82b2o5b2o14bo260b2o$81b2o7b2o10bobo
259b2obo$104bo259bo2bo$365b3o$366bo$104b3o$104b3o$105bo244b2o$347b3ob
o$347b3obo$349b2o3$392b3o$391b2ob2o$101b3o278b3o4b2obob2o$101b2obo276b
2ob2o3bo$101bo2bo276b2obob2obobo$102b2o283bobo$385bobobo$387bob2o$387b
o182bo43bo$386b3o179b2ob2o39b2ob2o$89bo298bo180bobo41bobo$90b2o$89b2o
298bo182bo39bo$389bo183b2o35b2o$389bo184bo35bo$305b2o81bobo179b3o39b3o
$303b3o263b2obob2o33b2obob2o$102b2o198bo3bo262b2obo39bob2o$102b2o197b
2ob3o265bo39bo$101b2o198b2o269bo39bo$101bobo199b2o48b2obo214bo2bo2bo29b
o2bo2bo$102b2o249bo2bo214bobo2b3o27b3o2bobo$102b2o251bo30bo186bobob2o
27b2obobo$351bo3bo31bo185bobo33bobo$351bo2bo29bobobo185bobo31bobo$354b
o30bo2bo185b3o31b3o$386b2o186b3o31b3o$574b3o31b3o4$585b4o5b4o$339b2o245b
ob2o3b2obo$339b3o234b2o10b2o3b2o12b2o$338bo3bo51b4o5b4o180bo7bo$338bo
bobo52bob2o3b2obo170bobo27bobo$340bob2o53b2o3b2o172bo2bo9bo3bo11bo2bo
$340b2obo30bo11bo9bo7bo172bo11b2ob2o13bo$372b2o13bo188b3o7b3obobob3o9b
3o$372b3o11bo11bo3bo182b2obo5bob2o$371b2o13bo11b2ob2o182b2obo5bob2o$371b
2ob3o8bo9b3obobob3o182bo5bo$372b2ob2o9b2o6b2obo5bob2o181b2o3b2o$373b3o
11bo6b2obo5bob2o180bobo3bobo$397bo5bo$396bo7bo$580bo23bo$581b2o19b2o$
580b2o21b2o10$584bo15bo$585b2o11b2o$584b2o13b2o10$596bo$565bo28b2o$563b
2ob2o27b2o$564bo3bo6bo$566bob2o3b2ob2o$567bobo2bo3bo$569bob2obo$569bo
bobo$569bobo$302b2o264b2obo$301b3o267bo$301bobobobo262bo$301b2o2b2o264b
o$302b5o260bo2b2o$303b2o36bo226bo2b2o$324bo17b2o224bo$322bobo16b3o$323b
2o18b2o$339b3ob2o$339b2ob2o227b3o$340b3o227bob2o$570bo2bo$571b2o8$568b
3o$334b2o232b3o$333b2o234bo$335bo2$371bob2o196b3o$371b2obo195bob2o$372b
obobo193bo2bo$308bo63bo3bo194b2o$308b2o63b3o$307bobo64b2o5$308b2o$309b
2o$308bo$573bo$570b2obo$573bo2$575b3o2$576bo$327b3o246bo$326bo2bo$326b
3o$327b2o$327b2o5$311b2o$311bobo$310bo2b2o$310b4o204$643b3o43b3o$642b
2ob2o41b2ob2o$642b2ob2o41b2ob2o2$647bo39bo$647b2o37b2o$645b2obo37bob2o
$643b2obob2o35b2obob2o$644bobo41bobo$646bo41bo$646b2o39b2o$645b3o39b3o
$645bobo2b3o29b3o2bobo$647bobobo31bobobo$647bobo35bobo$647bobobo31bob
obo$647bo2bo33bo2bo$647bo3bo31bo3bo$647b2ob2o31b2ob2o$649bo35bo$649bo
35bo5$663b2o7b2o$650bo11b2ob2o3b2ob2o9bo$651bo10b2obo5bob2o8bo$650bob
o29bobo$665bo5bo$650b3o29b3o$651bo14b2ob2o12bo$664bo2bobo2bo$662b2obo
bobobob2o$663bobo5bobo$665bo5bo$663bobo5bobo$664bo7bo$655bo9bo5bo7bo$
656bo21bo$654b3o21b3o10$659bo15bo$660bo13bo$658b3o13b3o8$735bo$733b2o
b2o$663bo61bo6bo3bo$664bo58b2ob2o3b2obo$662b3o59bo3bo2bobo$726bob2obo
$727bobobo$729bob2o$729bo$728b2ob2o$694b3o$693b2ob2o30b2o$684b3o4b2ob
ob2o30b2o$683b2ob2o3bo38b3o$667bo15b2obob2obobo36b3o$668bo20bobo$666b
3o18bobob2o37bobo$689bobo38bobo$688b2ob2o$689bo$688b2o$688bo$691bo$690b
3o34b3o$727b2obo$690b3o34bo2bo$690bobo35b2o76b3o$805b2ob2o$796b3o4b2o
bob2o$795b2ob2o3bo$795b2obob2obobo$688bo112bobo$689bo109bobobo$686bob
obo110bob2o$687bo2bo46b2o7b2o53bo$688b2o46b2ob2o3b2ob2o51b2ob2o$736b2o
bo5bob2o54b2o$801b2o$727b3o9bo5bo55b3o$727b2o$728bo11b2ob2o58bo$727bo
10bo2bobo2bo55b3o$728b3o5b2obobobobob2o53b3o$737bobo5bobo$739b2o3b2o$
737bobo5bobo$690bo109bo$688bo112bo$687b2o109bobobo$688bob2o107bo2bo$643b
3o41bo2b2o108b2o$642b2ob2o41b2o$633b3o4b2obob2o$632b2ob2o3bo$632b2obo
b2obobo$638bobo$636bobob2o$638bobo$637b2ob2o$638bo$637b2o164bo4b4o5b4o
$637bo163bo2bo4bob2o3b2obo$640bo160bobo7b2o3b2o$639b3o158b2obo6bo7bo$
798bobobo$639b3o157bo2bo9bo3bo$639bobo158b2o10b2ob2o$809b3obobob3o$808b
2obo5bob2o$808b2obo5bob2o$811bo5bo$637bo172bo7bo$638bo$635bobobo$636b
o2bo$637b2o2$797b2o$796bo$796bo5$645b4o5b4o$646bob2o3b2obo$639bo8b2o3b
2o$637bo9bo7bo$636b2o$637bob2o8bo3bo$636bo2b2o8b2ob2o$637b2o7b3obobob
3o$645b2obo5bob2o$645b2obo5bob2o26b2o$648bo5bo29bobo$647bo7bo28bo15$765b
2o$764b2o$766bo18$13bo$11b2ob2o$12bo3bo6bo$14bob2o3b2ob2o$15bobo2bo3b
o$17bob2obo$17bobobo$17bobo$16b2obo$17bo$18bobo$18bo3$16b3o$16b3o$17b
o8$19b3o$18bob2o$18bo2bo$19b2o7$b2o7b2o$2ob2o3b2ob2o$2obo5bob2o2$3bo5b
o$19b2o$4b2ob2o10b2o$2bo2bobo2bo9b2o$2obobobobob2o6bobo$bobo5bobo7b2o
$3b2o3b2o9b2o$bobo5bobo!

At this point though, a lot of the reductions are just rewinding the backend.
EDIT 2: reduced to 9704 cells by editing the frontend phases

hotcrystal0 · Post by **hotcrystal0** » October 11th, 2026, 1:07 pm

Is there any specific reason this rule has a lack of higher prime periods, or is it just a coincidence? Many rules mildly close to Life seem to have random prime periods >20 (some primes are unknown still). We have P2-17 and then nothing after that.

Edit: (unrelated) Here are the best candidate collisions for a loaf bait stable reflector I could find:

Code: Select all

x = 90, y = 39, rule = B3/S23-a5
6bo30bo$6bo30bo2$5b3o28b3o4$10b2o$9bo2bo$10bobo$11bo21b2o$32bo2bo$33b
obo$34bo15$bo31bo24bo26bo$2bo31bo24bo26bo$3o29b3o22b3o24b3o4$11bo$10b
obo21b2o24b2o25b2o$9bo2bo20bo2bo22bo2bo23bo2bo$10b2o21bobo23bobo25bob
o$34bo25bo27bo!

LuveelVoom · Post by **LuveelVoom** » October 12th, 2026, 8:31 pm

This occasionally spotted two blinker object can do some curious things:

Code: Select all

x = 33, y = 24, rule = B3/S23-a5
13b2o13b2o$14bo14bo$13bo14bo$13b2o13b2o3$2o12b2o13b2o$b2o12b2o13b2o$2b
2o12b2o13b2o3$27b2o$26bo2bo$26bo2bo$27b2o4$30bobo$28b5o$29b2o$29bo$30b
o$29b2o!

Edit: Sillies with the B

Code: Select all

x = 91, y = 19, rule = B3/S23-a5
8bo2bo15bo2bo25bo$8bo2bo15bo2bo24bobo$8b3o16b3o26bo$83b2o$83bobo$84bo
$59bo2bo26bo$59bo2bo25bobo$59b3o27bo2$29bo$28bobo33bo$8b2o18b2o33bobo
17bo2bo$3b2o2bobo53bo2bo16bo2bo$2bobo3bo31bo23b2o17b3o$2bo36bobo$3o35b
o2bo$b3o35b2o$bo!

Edit 2: B dump

Code: Select all

#C CatForce: one square per distinct outcome (32)
x = 0, y = 0, rule = B3/S23-a5
15bo2bo25bo41b2o43bo43b2o40bo$15bo2bo25b3o39bo2bo39b3o42bobo40b3obo$4b2o9b3o25b3o41b3o40b4o40bo41b3ob2o$bo3bo39bo84bo3bo37b3o42bo$b4o40bobo39b3o43b2o38b3o40b2o$3o43b2o38bo2bo83bo$2bo83b2o102bo2bo$18bo171bo2bo$17bobo170b3o$18bo39bo2bo$58bo2bo$58b3o$102bo2bo$102bo2bo87bo$102b3o41bo2bo42bobo20bo2bo$146bo2bo43bo21bo2bo$61bo84b3o66b3o$60bobo$61bo$105bo$104bobo$105bo43bo68bo$148bobo66bobo$149bo68bo20$bo43b2o48bo2bo37bo37bo40b2o$obo42bo40b2o7bo2bo35b3o36bobo39bo3bo$bo44bo39bobo6b3o37b3o36bo41b4o$45b2o41bo46bo82b3o$43b5o40b2o43bobo82bo$43bobo43bo43b2o$4bo2bo79bo$4bo2bo79b2o$4b3o$98b2o$98bo3bo26bo2bo39bo2bo$9bo37bo2bo48b4o26bo2bo39bo2bo$8bobo36bo2bo50b3o25b3o40b3o$8bo2bo35b3o51bo119bo2bo$9b2o210bo2bo$221b3o4$132b2o41b2o$50b2o80bo3bo38bo3bo$50bo3bo78b4o39b4o$51b4o80b3o40b3o43b2o$53b3o79bo42bo45bo3bo$53bo171b4o$227b3o$227bo17$8bo35bo44bo43b2o37bo2bo47bo2bo$6b3o35b3o42b3o38bo3bo37bo2bo47bo2bo$7b3o33b3o41b4o7bo2bo28b4o10bo2bo24b3o48b3o$7bo37bo40bo3bo7bo2bo27b3o12bo2bo$5bobo37bobo38b2o10b3o30bo12b3o$5b2o39b2o5$174bo$101b2o44b2o24bobo$o2bo50bo2bo43bo3bo41bo3bo21b2o48b2o$o2bo50bo2bo44b4o42b4o66b2o2bobo$3o51b3o47b3o43b3o32bo31bobo3bo$104bo45bo33bobo30bo$183bo2bo28b3o$184b2o30b3o$216bo3$3b2o52b2o$3bo3bo49bo3bo$4b4o50b4o$6b3o51b3o$6bo53bo18$2b2o41b2o41b2o41b2o55b2o25b2o$2bo42bo42bo42bo56bo26bobo$3bo42bo42bo42bo43bo2bo4b2ob3o26bo$2b2o41b2o41b2o41b2o43bo2bo4bob3o32bo$5o38b5o38b5o38b5o42b3o9bo31bobo$obo40bobo12bo27bobo40bobo89bo$56b3o$57b3o$57bo$16b2o37bobo157bo2bo$16bo38b2o44b2o112bo2bo$4bo2bo4b2ob3o29bo2bo39bo2bo8bo30bo2bo78b3o$4bo2bo4bob3o30bo2bo39bo2bo6bo32bo2bo$4b3o9bo30b3o40b3o7b2o31b3o$101bo$101bobo$102b2o71b2o$173b3o2bo$172bo4b2o$142b2o3b2o23b2o$142bobobobo$144bobo$143b2ob2o21$9bo2bo30bobo52bo2bo43b2o27bo61b2o$9bo2bo30b5o7bo2bo39bo2bo43bo26b3o61bo$9b3o33b2o8bo2bo39b3o40b2ob3o26b4o55b2ob3o$46bo8b3o83bob3o27bo3bo54bob3o$45bo99bo30b2o58bo$45b2o4$133bo2bo87bo2bo$3b2o84b2o42bo2bo87bo2bo$2bobo83bobo42b3o88b3o$2bo85bo$3o83b3o$b3o4b2o77b3o7b2o$bo4b3o2bo42b2o31bo7b3o2bo79bo2bo$5bo4b2o40b3o2bo36bo4b2o79bo2bo$5b2o44bo4b2o36b2o84b3o$51b2o$218b2o$217bobo$217bo$215b3o$132b2o82b3o$130b3o2bo80bo$129bo4b2o$129b2o3$179b2o$177b3o2bo$176bo4b2o$176b2o11$24b2o27bobo$24bo26b5o$20b2ob3o21b2o3b2o$20bob3o20b3o2bobo$24bo19bo4b2o2bo$44b2o6b2o4$12bo2bo$12bo2bo$12b3o6$43bo2bo$43bo2bo$3b2o38b3o$2bobo$2bo$3o$b3o$bo19$!

ThePlayzr · Post by **ThePlayzr** » October 13th, 2026, 12:00 am

ThePlayzr wrote: October 7th, 2026, 8:31 am The only way this is going to work is if the gun period and the reflector loop period share some factor. I will have to figure out what the minimum could be, but with this setup it's a multiple of the gun period, so we need to find a setup where this is much lower, but the reaction we are using here has a physical limit of 91, which means the smallest new period we can make is 1261, with a gun period of 1164.
Here I have made a pattern with a very low common factor requirement, with p67 as the factor in this example:
Code: Select all
x = 59, y = 57, rule = B3/S23-a5
2bo$obo$b2o15$17bobo$18b2o$18bo13b2o$32bo$30bobo$30b2o$6bo17bo$7b2o12b
2obo$6bo17bo2bo$26bobo$26bobo$27b2ob2o15bo$30bobo12b2o$30bobo14bo$31b
o6$40bo$39b2o$39bobo15$56b2o$56bobo$56bo!
The gun period would be 804, and the smallest new period we could make is p871. The largest non-prime period that would remain if we completed the gun for this would be 61^2, so 3721. Can someone make a p804 glider gun so this can be completed?

Here is a massive solution:

Code: Select all

x = 869, y = 869, rule = B3/S23-a5History
200.2A.2A$200.A3.A$201.A.A$198.4A.4A$197.A9.A$197.2A2.3A2.2A$135.2A$134.
A.A$134.A53.A$131.2A.A54.2A$131.A.2A.A51.A$136.A$131.A.2A.A$131.2A.A$
134.A$134.A.A$135.2A7$93.2A$92.A.A$92.A$89.2A.A$89.A.2A.A$94.A$89.A.2A
.A43.A$89.2A.A40.2A3.A3.2A$92.A40.A9.A$92.A.A39.4A.4A$93.2A42.A.A$136.
A3.A$136.2A.2A50$676.2A.2A$676.A3.A$677.A.A$674.4A.4A$673.A2.5A2.A154.
2A.2A$673.2A7.2A154.A3.A$583.2A254.A.A$159.A7.A414.A.A251.4A.4A$159.3A
3.3A414.A91.A160.A9.A$162.A.A43.2A369.2A.A88.2A.A160.2A2.3A2.2A$157.3A
2.A.A2.3A38.A.A368.A.2A.A89.A$156.A2.A.2A.2A.A2.A39.A373.A$156.2A2.A5.
A2.2A38.2A.2A365.A.2A.A$209.3A.A365.2A.A$209.A372.A$110.2A97.3A.A368.
A.A$109.3A97.2A.2A369.2A$110.2A98.A$208.A.A$208.2A2$110.3A$110.A$111.
A$767.A$761.2A3.3A$760.A.A3.3A$658.2A.2A99.A$658.A3.A$659.A.A22.2A$656.
4A.4A19.A.A$655.A2.5A2.A20.A$655.2A7.2A20.A.2A$685.A2.A$685.2A.A$678.
A8.A$676.2A$678.A8.A$685.2A.A$685.A2.A$686.A.2A$686.A$684.A.A$684.2A3$
855.2A.2A$855.A3.A$837.2A17.A.A$836.A.A14.4A.4A$836.A15.A9.A$833.2A.A
15.2A2.3A2.2A$833.A.2A$838.2A$833.A.2A$833.2A.A$836.A$836.A.A$837.2A12$
609.2A$609.A.A159.2A$611.A159.A.A$611.A.2A158.A$611.2A.A157.2A.2A$608.
2A161.A3.A$611.2A.A157.A2.A$585.2A2.3A2.2A15.A.2A157.3A$585.A9.A15.A$
586.4A.4A14.A.A160.3A$589.A.A17.2A161.A2.A$588.A3.A178.A3.A$588.2A.2A
179.2A.2A$773.A$771.A.A$771.2A2$369.2A.2A$369.A3.A$370.A.A$367.4A.4A$
366.A9.A$366.2A2.3A2.2A$267.2A$117.A7.A140.A.A$117.3A3.3A140.A7.2A$120.
A.A140.2A.A7.3A$115.3A.A3.A.3A135.A.2A7.2A$114.A3.2A3.2A3.A139.2A$114.
2A11.2A134.A.2A$89.2A172.2A.A$88.A.A175.A$88.A177.A.A$85.2A.2A177.2A589.
A.A$85.A.3A769.A$89.A30.A.A736.A$85.A.3A31.A$85.2A.2A31.A483.A$88.A516.
A$88.A.A2.3A508.A.A$89.2A$94.A$94.A768.2A$863.A.A$865.A$865.A.2A$863.
A.2A.A$863.A$116.2A745.A.2A.A$115.A.A484.2A2.3A2.2A252.A.2A$115.A105.
2A379.A9.A252.A$112.2A.2A104.A381.4A.4A251.A.A$112.A.3A102.A.A384.A.A
254.2A$116.A102.2A384.A3.A154.2A7.2A$112.A.3A488.2A.2A154.A2.5A2.A$112.
2A.2A648.4A.4A$115.A99.A552.A.A$115.A.A96.A.A550.A3.A$116.2A96.A.A6.D
543.2A.2A$215.2A.2AD.6DC216DC208D.2A$214.D3.A.A5D2C217D2C206D.A2.A$214.
2D2.A.A2.5DC216DC206D2.3A$214.3D2.A$214.3D435.3A$214.3D30.2A402.A2.A5.
2A$214.3D29.A.A403.2AD5.A$214.3D29.A406.D7.3A$214.3D26.2A.A406.2D8.A$
214.3D26.A.2A.A403.4D$214.3D31.A403.3D$214.3D26.A.2A.A403.3D$214.3D26.
2A.A18.2A7.2A376.DCD$214.3D29.A18.A2.5A2.A376.DCD$214.3D29.A.A17.4A.4A
377.CDC$214.3D30.2A20.A.A380.3D$214.3D51.A3.A379.3D$214.3D51.2A.2A379.
3D$214.3D435.3D$214.3D435.3D$214.3D435.3D$214.3D435.3D$214.3D435.3D$214.
3D435.3D$214.3D435.3D$214.3D302.2A.2A128.3D$214.3D302.A3.A128.3D$214.
3D303.A.A129.3D$214.3D300.4A.4A126.3D$214.3D299.A2.5A2.A115.2A.2A5.3D
$214.3D299.2A7.2A115.A3.A5.3D$214.3D209.2A215.A.A6.3D$214.3D208.A.A212.
4A.4A3.3D$214.3D208.A8.A204.A9.A2.3D$214.3D205.2A.A7.2A204.2A2.3A2.2A
2.3D$214.3D57.A7.A139.A.2A.A6.A217.3D$214.3D57.3A3.3A144.A224.3D$214.
3D60.A.A97.2A43.A.2A.A224.3D$214.3D55.3A2.A.A2.3A92.A.A42.2A.A226.3D$
214.3D54.A2.A.2A.2A.A2.A93.A45.A226.3D$158.2A.2A51.3D54.2A2.A5.A2.2A92.
2A.2A42.A.A224.3D$158.A3.A51.3D161.3A.A43.2A224.3D$159.A.A42.2A8.3D161.
A273.3D$156.4A.4A39.A.A7.3D130.A30.3A.A269.3D$155.A9.A40.A7.3D128.2A31.
2A.2A269.3D$155.2A3.A3.2A40.A.2A4.3D130.A31.A272.3D$160.A43.A.2A.A4.3D
160.A.A272.3D$204.A9.3D160.2A273.3D$194.A9.A.2A.A4.3D63.2A370.3D$192.
2A12.A.2A4.3D63.A371.3D28.2A.2A$194.A11.A7.3D64.3A368.3D28.A3.A$204.A
.A7.3D66.A357.2A9.3D29.A.A$204.2A8.3D423.A.A9.3D26.4A.4A$214.3D423.A11.
3D25.A9.A$214.3D420.2A.2A10.3D25.2A3.A3.2A$214.3D420.A.3A10.3D30.A$214.
3D424.A10.3D$214.3D397.2A21.A.3A10.3D$214.3D397.A.A20.2A.2A10.3D$162.
2A50.3D399.A23.A11.3D$162.A.A49.3D398.2A.2A20.A.A9.3D31.3A$164.A49.3D
397.A3.A22.2A9.3D31.3A$164.A.2A46.3D398.A2.A33.3D32.A$162.A.2A.A46.3D
398.3A34.3D$162.A51.3D435.3D$162.A.2A.A46.3D398.3A34.3D$164.A.2A46.3D
388.2A8.A2.A33.3D$164.A49.3D387.A.A7.A3.A33.3D$162.A.A49.3D301.2A84.A
10.2A.2A32.3D$162.2A50.3D300.A.A83.2A11.A35.3D$91.2A2.3A2.2A112.3D300.
A96.A.A35.3D$91.A9.A112.3D297.2A.2A95.2A36.3D$92.4A.4A113.3D298.A3.A132.
3D$95.A.A116.3D298.A2.A133.3D$94.A3.A115.3D299.3A133.3D$94.2A.2A115.3D
435.3D$214.3D299.3A133.3D$214.3D298.A2.A133.3D$214.3D298.A3.A132.3D$214.
3D297.2A.2A133.3D$214.3D300.A134.3D$214.3D300.A.A132.3D$214.3D301.2A132.
3D$214.3D435.3D$214.3D435.3D$214.3D435.3D$214.3D435.3D$214.3D435.3D$214.
3D435.3D$214.3D435.3D$214.3D435.3D$214.3D435.3D$214.3D435.3D$214.3D435.
3D$214.3D435.3D$214.3D235.2A198.3D$214.3D235.A.A197.3D$214.3D237.A197.
3D$214.3D237.A.2A194.3D$214.3D237.2A.A194.3D$214.3D234.2A199.3D$214.3D
237.2A.A194.3D$214.3D211.2A2.3A2.2A15.A.2A194.3D$214.3D211.A9.A15.A197.
3D$214.3D212.4A.4A14.A.A197.3D$214.3D215.A.A17.2A198.3D$214.3D214.A3.
A216.3D$214.3D214.2A.2A216.3D$214.3D435.3D$214.3D435.3D$214.3D435.3D$
214.3D435.3D$214.3D435.3D$214.3D435.3D$214.3D435.3D$214.3D435.3D$214.
3D435.3D$214.3D435.3D$214.3D435.3D$214.3D121.A313.3D$214.3D120.2A313.
3D$214.3D120.A.A312.3D$214.3D131.A303.3D$214.3D131.A184.2A117.3D$214.
3D131.3A183.2A116.3D$214.3D134.2A180.A118.3D$214.3D129.3A2.5A168.A127.
3D$214.3D129.3A2.2A.3A166.A128.3D$214.3D26.2A97.2A11.A166.A3.A125.3D$
214.3D25.A.A98.3A8.2A.A163.2A2.2A125.3D$214.3D25.A97.A4.A5.A2.A.2A163.
2A2.A126.3D$214.3D22.2A.2A97.A3.A5.A3.3A165.3A84.A41.3D$214.3D22.A.3A
98.3A182.2A81.A41.3D$214.3D26.A99.2A182.2A80.A.A40.3D$214.3D22.A.3A283.
2A.3A119.3D$214.3D22.2A.2A38.2A2.A5.A2.2A233.A121.3D$214.3D25.A39.A2.
A.2A.2A.A2.A233.A121.3D$214.3D25.A.A38.3A2.A.A2.3A227.2A2.3A122.3D$214.
3D26.2A43.A.A236.3A122.3D$214.3D68.3A3.3A234.A123.3D$214.3D68.A7.A230.
2A.2A123.3D$214.3D306.A.4A123.3D$214.3D306.2A2.A124.3D$214.3D306.3A126.
3D$214.3D228.2A2.3A2.2A196.3D$214.3D228.A9.A196.3D$214.3D229.4A.4A197.
3D$214.3D232.A.A200.3D$214.3D231.A3.A199.3D$214.3D231.2A.2A199.3D$214.
3D435.3D$214.3D435.3D$214.3D435.3D36.2A$214.3D435.3D36.A.A$214.3D435.
3D38.A$214.3D435.3D38.A.2A$214.3D435.3D36.A.2A.A$214.3D435.3D36.A$214.
3D435.3D36.A.2A.A$214.3D435.3D38.A.2A$214.3D435.3D38.A$214.3D435.3D36.
A.A$214.3D435.3D36.2A$214.3D390.2A7.2A34.3D$214.3D390.A2.5A2.A34.3D$214.
3D391.4A.4A35.3D$214.3D394.A.A38.3D$214.3D393.A3.A37.3D$214.3D393.2A.
2A37.3D$214.3D435.3D$214.3D435.3D$214.3D435.3D$214.3D435.3D$214.3D435.
3D$214.3D435.3D$214.3D435.3D$214.3D435.3D$214.3D435.3D$214.3D435.3D$214.
3D435.3D$214.3D435.3D$214.3D435.3D$214.3D435.3D$214.3D435.3D$214.3D435.
3D$214.3D435.3D$214.3D435.3D$214.3D435.3D$214.3D435.3D$214.3D435.3D$214.
3D435.3D$214.3D435.3D$214.3D435.3D$214.3D435.3D$214.3D435.3D$214.3D435.
3D$214.3D435.3D$214.3D95.2A.2A335.3D$214.3D95.A3.A335.3D$214.3D96.A.A
42.2A292.3D$214.3D93.4A.4A39.A.A291.3D$214.3D92.A9.A40.A291.3D$214.3D
92.2A3.A3.2A40.A.2A288.3D$214.3D97.A43.A.2A.A288.3D$214.3D141.A293.3D
$214.3D141.A.2A.A288.3D$214.3D143.A.2A288.3D$214.3D143.A291.3D$214.DC
D141.A.A255.2A.2A31.3D$214.3C141.2A256.A3.A31.3D$214.3D400.A.A32.3D$214.
3D397.4A.4A29.3D$214.3D396.A9.A28.3D$214.3D396.2A2.3A2.2A28.3D$214.3D
334.2A99.3D$214.3D333.A.A99.3D$214.3D99.2A232.A101.3D$214.3D99.A.A228.
2A.A101.3D$214.3D101.A228.A.2A.A99.3D$214.3D101.A.2A230.A67.A31.3D$214.
3D30.3A66.A.2A.A225.A.2A.A66.3A30.3D$214.3D31.A67.A230.2A.A101.3D$214.
3D99.A.2A.A228.A101.3D$214.3D101.A.2A228.A.A99.3D$214.3D101.A232.2A99.
3D$214.3D99.A.A333.3D$214.3D99.2A334.3D$214.3D28.2A2.3A2.2A396.3D$214.
3D28.A9.A396.3D$214.3D29.4A.4A397.3D$214.3D32.A.A400.3D$214.3D31.A3.A
256.2A141.3C$214.3D31.2A.2A255.A.A141.DCD$214.3D291.A143.3D$214.3D288.
2A.A143.3D$214.3D288.A.2A.A141.3D$214.3D293.A141.3D$214.3D288.A.2A.A43.
A97.3D$214.3D288.2A.A40.2A3.A3.2A92.3D$214.3D291.A40.A9.A92.3D$214.3D
291.A.A39.4A.4A93.3D$214.3D292.2A42.A.A96.3D$214.3D335.A3.A95.3D$214.
3D335.2A.2A95.3D$214.3D435.3D$214.3D435.3D$214.3D435.3D$214.3D435.3D$
214.3D435.3D$214.3D435.3D$214.3D435.3D$214.3D435.3D$214.3D435.3D$214.
3D435.3D$214.3D435.3D$214.3D435.3D$214.3D435.3D$214.3D435.3D$214.3D435.
3D$214.3D435.3D$214.3D435.3D$214.3D435.3D$214.3D435.3D$214.3D435.3D$214.
3D435.3D$214.3D435.3D$214.3D435.3D$214.3D435.3D$214.3D435.3D$214.3D435.
3D$214.3D435.3D$214.3D435.3D$214.3D37.2A.2A393.3D$214.3D37.A3.A393.3D
$214.3D38.A.A394.3D$214.3D35.4A.4A391.3D$214.3D34.A2.5A2.A390.3D$214.
3D34.2A7.2A390.3D$176.2A36.3D435.3D$175.A.A36.3D435.3D$175.A38.3D435.
3D$172.2A.A38.3D435.3D$172.A.2A.A36.3D435.3D$177.A36.3D435.3D$172.A.2A
.A36.3D435.3D$172.2A.A38.3D435.3D$175.A38.3D435.3D$175.A.A36.3D435.3D
$176.2A36.3D435.3D$214.3D435.3D$214.3D435.3D$214.3D199.2A.2A231.3D$214.
3D199.A3.A231.3D$214.3D200.A.A232.3D$214.3D197.4A.4A229.3D$214.3D196.
A9.A228.3D$214.3D196.2A2.3A2.2A228.3D$214.3D126.3A306.3D$214.3D124.A2.
2A306.3D$214.3D123.4A.A306.3D$214.3D123.2A.2A230.A7.A68.3D$214.3D123.
A234.3A3.3A68.3D$214.3D122.3A236.A.A43.2A26.3D$214.3D122.3A2.2A227.3A
2.A.A2.3A38.A.A25.3D$214.3D121.A233.A2.A.2A.2A.A2.A39.A25.3D$214.3D121.
A233.2A2.A5.A2.2A38.2A.2A22.3D$214.3D119.3A.2A283.3A.A22.3D$214.3D40.
A.A80.2A182.2A99.A26.3D$214.3D41.A81.2A182.3A98.3A.A22.3D$214.3D41.A84.
3A165.3A3.A5.A3.A97.2A.2A22.3D$214.3D126.A2.2A163.2A.A2.A5.A4.A97.A25.
3D$214.3D125.2A2.2A163.A.2A8.3A98.A.A25.3D$214.3D125.A3.A166.A11.2A97.
2A26.3D$214.3D128.A166.3A.2A2.3A129.3D$214.3D127.A168.5A2.3A129.3D$214.
3D118.A180.2A134.3D$214.3D116.2A183.3A131.3D$214.3D117.2A184.A131.3D$
214.3D303.A131.3D$214.3D312.A.A120.3D$214.3D313.2A120.3D$214.3D313.A121.
3D$214.3D435.3D$214.3D435.3D$214.3D435.3D$214.3D435.3D$214.3D435.3D$214.
3D435.3D$214.3D435.3D$214.3D435.3D$214.3D435.3D$214.3D435.3D$214.3D435.
3D$214.3D216.2A.2A214.3D$214.3D216.A3.A214.3D$214.3D198.2A17.A.A215.3D
$214.3D197.A.A14.4A.4A212.3D$214.3D197.A15.A9.A211.3D$214.3D194.2A.A15.
2A2.3A2.2A211.3D$214.3D194.A.2A237.3D$214.3D199.2A234.3D$214.3D194.A.
2A237.3D$214.3D194.2A.A237.3D$214.3D197.A237.3D$214.3D197.A.A235.3D$214.
3D198.2A235.3D$214.3D435.3D$214.3D435.3D$214.3D435.3D$214.3D435.3D$214.
3D435.3D$214.3D435.3D$214.3D435.3D$214.3D435.3D$214.3D435.3D$214.3D435.
3D$214.3D435.3D$214.3D435.3D$214.3D132.2A301.3D$214.3D132.A.A300.3D$214.
3D134.A300.3D$214.3D133.2A.2A297.3D$214.3D132.A3.A298.3D$214.3D133.A2.
A298.3D$214.3D133.3A299.3D$214.3D435.3D115.2A.2A$214.3D133.3A299.3D115.
A3.A$214.3D133.A2.A298.3D116.A.A$214.3D132.A3.A298.3D113.4A.4A$214.3D
36.2A95.2A.2A297.3D112.A9.A$214.3D35.A.A96.A300.3D112.2A2.3A2.2A$214.
3D35.A11.2A83.A.A300.3D50.2A$214.3D32.2A.2A10.A84.2A301.3D49.A.A$214.
3D33.A3.A7.A.A387.3D49.A$214.3D33.A2.A8.2A388.3D46.2A.A$214.3D34.3A398.
3D46.A.2A.A$214.3D435.3D51.A$214.3D34.3A398.3D46.A.2A.A$181.A32.3D33.
A2.A398.3D46.2A.A$180.3A31.3D9.2A22.A3.A397.3D49.A$180.3A31.3D9.A.A20.
2A.2A398.3D49.A.A$214.3D11.A23.A399.3D50.2A$214.3D10.2A.2A20.A.A397.3D
$214.3D10.3A.A21.2A397.3D$214.3D10.A424.3D$183.A30.3D10.3A.A420.3D$178.
2A3.A3.2A25.3D10.2A.2A420.3D$178.A9.A25.3D11.A423.3D$179.4A.4A26.3D9.
A.A423.3D8.2A$182.A.A29.3D9.2A357.A66.3D7.A.A$181.A3.A28.3D368.3A64.3D
7.A11.A$181.2A.2A28.3D371.A63.3D4.2A.A12.2A$214.3D370.2A63.3D4.A.2A.A
9.A$214.3D273.2A160.3D9.A$214.3D272.A.A160.3D4.A.2A.A43.A$214.3D272.A
31.A130.3D4.2A.A40.2A3.A3.2A$214.3D269.2A.2A31.2A128.3D7.A40.A9.A$214.
3D269.A.3A30.A130.3D7.A.A39.4A.4A$214.3D273.A161.3D8.2A42.A.A$214.3D224.
2A43.A.3A161.3D51.A3.A$214.3D224.A.A42.2A.2A92.2A2.A5.A2.2A54.3D51.2A
.2A$214.3D226.A45.A93.A2.A.2A.2A.A2.A54.3D$214.3D226.A.2A42.A.A92.3A2.
A.A2.3A55.3D$214.3D224.A.2A.A43.2A97.A.A60.3D$214.3D224.A144.3A3.3A57.
3D$214.3D217.A6.A.2A.A139.A7.A57.3D$214.3D2.2A2.3A2.2A204.2A7.A.2A205.
3D$214.3D2.A9.A204.A8.A208.3D$214.3D3.4A.4A212.A.A208.3D$214.3D6.A.A215.
2A209.3D$214.3D5.A3.A115.2A7.2A299.3D$214.3D5.2A.2A115.A2.5A2.A299.3D
$214.3D126.4A.4A300.3D$214.3D129.A.A303.3D$214.3D128.A3.A302.3D$214.3D
128.2A.2A302.3D$214.3D435.3D$214.3D435.3D$214.3D435.3D$214.3D435.3D$214.
3D435.3D$214.3D435.3D$214.3D435.3D$214.3D379.2A.2A51.3D$214.3D379.A3.
A51.3D$214.3D380.A.A20.2A30.3D$214.CDC377.4A.4A17.A.A29.3D$214.DCD376.
A2.5A2.A18.A29.3D$214.DCD376.2A7.2A18.A.2A26.3D$214.3D403.A.2A.A26.3D
$214.3D403.A31.3D$213.4D403.A.2A.A26.3D$205.A8.2D406.A.2A26.3D$205.3A
7.D406.A29.3D$208.A5.D2A403.A.A29.3D$207.2A5.A2.A402.2A30.3D$214.3A435.
3D$649.A2.3D$212.3A2.206DC216DC5D2.A.A2.2D$211.A2.A.206D2C217D2C5DA.A
3.D$212.2A.208DC216DC6D.D2A.2A$97.2A.2A543.D6.A.A96.2A$97.A3.A550.A.A
96.A.A$98.A.A552.A99.A$95.4A.4A648.2A.2A$94.A2.5A2.A154.2A.2A488.3A.A
$94.2A7.2A154.A3.A384.2A102.A$4.2A254.A.A384.A.A102.3A.A$3.A.A251.4A.
4A381.A104.2A.2A$3.A252.A9.A379.2A105.A$2A.A252.2A2.3A2.2A484.A.A$A.2A
.A745.2A$5.A$A.2A.A$2A.A$3.A$3.A.A$4.2A768.A$774.A$778.2A$262.A.A508.
3A2.A.A$263.A516.A$263.A483.A31.2A.2A$747.A31.3A.A$9.A736.A.A30.A$9.A
769.3A.A$8.A.A589.2A177.2A.2A$600.A.A177.A$602.A175.A.A$602.A.2A172.2A
$602.2A.A134.2A11.2A$599.2A139.A3.2A3.2A3.A$593.2A7.2A.A135.3A.A3.A.3A
$592.3A7.A.2A140.A.A$593.2A7.A140.3A3.3A$600.A.A140.A7.A$600.2A$492.2A
2.3A2.2A$492.A9.A$493.4A.4A$496.A.A$495.A3.A$495.2A.2A2$96.2A$95.A.A$
95.A$92.2A.2A179.2A.2A$93.A3.A178.A3.A$93.A2.A161.2A17.A.A$94.3A160.A
.A14.4A.4A$257.A15.A9.A$94.3A157.2A.A15.2A2.3A2.2A$93.A2.A157.A.2A$93.
A3.A161.2A$92.2A.2A157.A.2A$95.A158.2A.A$95.A.A159.A$96.2A159.A.A$258.
2A12$30.2A$30.A.A$32.A$32.A.2A$32.2A.A$29.2A$32.2A.A$6.2A2.3A2.2A15.A
.2A$6.A9.A15.A$7.4A.4A14.A.A$10.A.A17.2A$9.A3.A$9.2A.2A3$183.2A$182.A
.A$182.A$179.2A.A$180.A2.A$180.A.2A$181.A8.A$191.2A$181.A8.A$180.A.2A
$180.A2.A$179.2A.A20.2A7.2A$182.A20.A2.5A2.A$182.A.A19.4A.4A$183.2A22.
A.A$206.A3.A$106.A99.2A.2A$100.3A3.A.A$100.3A3.2A$101.A$757.A$758.A$756.
3A2$659.2A$658.A.A$658.A98.2A$284.2A369.2A.2A97.3A$284.A.A368.A.3A97.
2A$286.A372.A$286.A.2A365.A.3A$284.A.2A.A365.2A.2A38.2A2.A5.A2.2A$284.
A373.A39.A2.A.2A.2A.A2.A$194.A89.A.2A.A368.A.A38.3A2.A.A2.3A$23.2A2.3A
2.2A160.A.2A88.A.2A369.2A43.A.A$23.A9.A160.A91.A414.3A3.3A$24.4A.4A251.
A.A414.A7.A$27.A.A254.2A$26.A3.A154.2A7.2A$26.2A.2A154.A2.5A2.A$186.4A
.4A$189.A.A$188.A3.A$188.2A.2A50$728.2A.2A$728.A3.A$729.A.A42.2A$726.
4A.4A39.A.A$725.A9.A40.A$725.2A3.A3.2A40.A.2A$730.A43.A.2A.A$774.A$774.
A.2A.A$776.A.2A$776.A$774.A.A$774.2A7$732.2A$732.A.A$734.A$734.A.2A$732.
A.2A.A$732.A$680.A51.A.2A.A$678.2A54.A.2A$680.A53.A$732.A.A$732.2A$661.
2A2.3A2.2A$661.A9.A$662.4A.4A$665.A.A$664.A3.A$664.2A.2A!

EDIT: the cells that oscillate at p871 are now marked.
Edit 2: fixed 4 (one on each corner) cells that were not p871 and were marked
EDIT 3: I found a stable reflector in B3/S23-a5 investigator, with a repeat time of 78:

Code: Select all

x = 57, y = 33, rule = B3/S23-a5Investigator
3.2A$.3A.A$A4.3A$.3A.A.A$3.2A$8.A19.A18.A$8.A.2A16.2A17.A.2A$8.A19.A18.
A$50.E$5.EDE42.E$5.ED2ED3$8.2A38.E3.D$4.A5.2A34.A6.A2.E$4.3A3.2A34.A6.
A$3.A4.A39.A4.A$3.A6.A34.2A3.3A$E2.A6.A34.2A5.A$4.D3.E38.2A3$47.D2EDE
$6.E42.EDE$6.E$9.A18.A19.A$6.2A.A17.2A16.2A.A$9.A18.A19.A$52.2A$49.A.
A.3A$49.3A4.A$51.A.3A$52.2A!

It's not even close to working in TTs, but at least state investigator does have a stable reflector...
We should probably investigate (

) reactions with this sparky eater in normal TTs, apart from the one with the boat that LuveelVoom found.

PK22 · Post by **PK22** » October 13th, 2026, 4:05 pm

P183 glider gun, which I think is the lowest period for an adjustable T-loop based gun:

Code: Select all

x = 185, y = 186, rule = B3/S23-a5
9b2ob2o70b3o$9bo3bo72bo$10bobo72bo$7b4ob4o$6bo2b5o2bo$6b2o7b2o$60b2o$
60bobo$27bo34bo$27bob2o31bob2o105b2ob2o$27bo32bob2obo105bo3bo$60bo111b
obo$60bob2obo103b4ob4o$62bob2o102bo2b5o2bo$62bo105b2o7b2o$60bobo27b2o$
60b2o27bobo$89bo14bo46bo$86b2obo15b2o41b2obo$86bob2obo12bo46bo$91bo$
86bob2obo$86b2obo$89bo$89bobo$4b2o84b2o$3bobo49bo$3bo50b2o76b2o$2obo
49bobo76bobo$ob2o50bo42bo36bo$5b2o44b2obo40b2o37bob2o$ob2o9bo35bob4o
42bo36b2obo$2obo10b2o37bo77b2o$3bo9bo34b2o3bo80b2obo$3bobo44bo83bob2o$
4b2o42bobo83bo$48b2obo26bo53bobo$49bo25b2obo53b2o41bo$49b2o27bo96bo2$
174b3o$88b2o2b3o2b2o$88bo9bo$89b4ob4o30bo$92bobo33bo$91bo3bo31bobo$91b
2ob2o5$179b2o$179bobo$181bo$180b2ob2o$180b3obo$180bo$56bo45b2o43bo32b
3obo$56b2o43b3o43bob2o29b2ob2o$56bo45b2o43bo33bo$179bobo$52bo126b2o$
47b2o3bo3b2o$47bo9bo$48b4ob4o$51bobo$50bo3bo$50b2ob2o10b2ob2o$65bo3bo$
36b2o28bobo$35bobo25b4ob4o$35bo5bo20bo9bo$32b2obo5bo20b2o2b3o2b2o$32bo
b2obo$37bo2b3o$32bob2obo$32b2obo$35bo$35bobo$36b2o11$127b3o$68bobo57bo
$69bo$69bo42$69bo58bo$69bo57b3o$127b3o$68b3o31$64b2o$63bobo$63bo$60b2o
bo$60bob2obo$65bo$60bob2obo11bo43b2o$60b2obo10b2obo43b3o$63bo13bo43b2o
$63bobo$64b2o$121b2o7b2o$121bo2b5o2bo$122b4ob4o$125bobo$124bo3bo$124b
2ob2o!

hotcrystal0 · Post by **hotcrystal0** » October 13th, 2026, 8:48 pm

hotcrystal0 wrote: October 11th, 2026, 1:07 pm Edit: (unrelated) Here are the best candidate collisions for a loaf bait stable reflector I could find:
Code: Select all
x = 90, y = 39, rule = B3/S23-a5
6bo30bo$6bo30bo2$5b3o28b3o4$10b2o$9bo2bo$10bobo$11bo21b2o$32bo2bo$33b
obo$34bo15$bo31bo24bo26bo$2bo31bo24bo26bo$3o29b3o22b3o24b3o4$11bo$10b
obo21b2o24b2o25b2o$9bo2bo20bo2bo22bo2bo23bo2bo$10b2o21bobo23bobo25bob
o$34bo25bo27bo!

Using the first (leftmost) glider+loaf listed, here are all the distinct 1- and 2-cat solutions (with a minimal list of catalysts) found by Luveel's CatForce/ntcatforce fork (with catalysts reduced accordingly):

Code: Select all

x = 84, y = 89, rule = B3/S23-a5
bo73bo$2bo3bo69bo3bo$3o2bobo66b3o2bobo$4bo2bo70bo2bo$5b2o72b2o7$7b2o$
8bo73bo$7bo73bobo$7b2o73bo52$9b2o$4b2o4bo$4bo2b3o$6b2o5$bo73bo$2bo3bo
69bo3bo$3o2bobo66b3o2bobo$4bo2bo70bo2bo$5b2o72b2o8$80bo$79bobo$80bo!

Code: Select all

x = 165, y = 93, rule = B3/S23-a5
11b2o$11bo$9bobo$9b2o$2bo73bo73bo$3bo3bo69bo3bo69bo3bo$b3o2bobo66b3o2b
obo66b3o2bobo$5bo2bo70bo2bo70bo2bo$6b2o72b2o72b2o4$2b2o82b2o$3bo82bob
o$3o85bo62b2o$o81b2o4b2o62bo3b2o$83bo65b3o5bo$82bo66bo6bo$82b2o72b2o52$
157b2o$152b2o4bo$152bo2b3o$154b2o5$2bo73bo73bo$3bo3bo69bo3bo69bo3bo$b
3o2bobo66b3o2bobo66b3o2bobo6b2o$5bo2bo5b2o63bo2bo5b2o63bo2bo5bobo$6b2o
7bo64b2o7bo64b2o6bo$13bo73bo73b2o$13b2o72b2o72bo$14bo73bo74bo$14bobo71b
obo71b2o$15b2o72b2o3$7bo75bo$6bobo73bobo$7bo75bo!

ThePlayzr · Post by **ThePlayzr** » October 13th, 2026, 9:30 pm

PK22 wrote: October 13th, 2026, 4:05 pm P183 glider gun, which I think is the lowest period for an adjustable T-loop based gun:

Code: Select all

x = 185, y = 186, rule = B3/S23-a5
9b2ob2o70b3o$9bo3bo72bo$10bobo72bo$7b4ob4o$6bo2b5o2bo$6b2o7b2o$60b2o$
60bobo$27bo34bo$27bob2o31bob2o105b2ob2o$27bo32bob2obo105bo3bo$60bo111b
obo$60bob2obo103b4ob4o$62bob2o102bo2b5o2bo$62bo105b2o7b2o$60bobo27b2o$
60b2o27bobo$89bo14bo46bo$86b2obo15b2o41b2obo$86bob2obo12bo46bo$91bo$
86bob2obo$86b2obo$89bo$89bobo$4b2o84b2o$3bobo49bo$3bo50b2o76b2o$2obo
49bobo76bobo$ob2o50bo42bo36bo$5b2o44b2obo40b2o37bob2o$ob2o9bo35bob4o
42bo36b2obo$2obo10b2o37bo77b2o$3bo9bo34b2o3bo80b2obo$3bobo44bo83bob2o$
4b2o42bobo83bo$48b2obo26bo53bobo$49bo25b2obo53b2o41bo$49b2o27bo96bo2$
174b3o$88b2o2b3o2b2o$88bo9bo$89b4ob4o30bo$92bobo33bo$91bo3bo31bobo$91b
2ob2o5$179b2o$179bobo$181bo$180b2ob2o$180b3obo$180bo$56bo45b2o43bo32b
3obo$56b2o43b3o43bob2o29b2ob2o$56bo45b2o43bo33bo$179bobo$52bo126b2o$
47b2o3bo3b2o$47bo9bo$48b4ob4o$51bobo$50bo3bo$50b2ob2o10b2ob2o$65bo3bo$
36b2o28bobo$35bobo25b4ob4o$35bo5bo20bo9bo$32b2obo5bo20b2o2b3o2b2o$32bo
b2obo$37bo2b3o$32bob2obo$32b2obo$35bo$35bobo$36b2o11$127b3o$68bobo57bo
$69bo$69bo42$69bo58bo$69bo57b3o$127b3o$68b3o31$64b2o$63bobo$63bo$60b2o
bo$60bob2obo$65bo$60bob2obo11bo43b2o$60b2obo10b2obo43b3o$63bo13bo43b2o
$63bobo$64b2o$121b2o7b2o$121bo2b5o2bo$122b4ob4o$125bobo$124bo3bo$124b
2ob2o!

Much less reflectors and much smaller in population:

Code: Select all

x = 208, y = 143, rule = B3/S23-a5
9b2ob2o$9bo3bo$10bobo$7b4ob4o$6bo9bo$6b2o3bo3b2o$11bo48b2o$60bobo$24b
o37bo$24b2o35b2ob2o$24bo36b3obo$61bo$61b3obo$61b2ob2o$62bo$60bobo$60b
2o7$55b3o$56bo$4b2o$3bobo$3bo198b2o$2obo198bobo$ob2obo87b2o43bo46bo18b
o$5bo86b3o43bob2o41b2o19bob2o$ob2obo10b2o75b2o43bo46bo18b2obo$2obo12b
3o182b2o$3bo12b2o186b2obo$3bobo40b3o155bob2o$4b2o40bo157bo$46bobo32bo
44bo46bo28bobo$47b2o31b2o45b2o41b2obo28b2o$81bo44bo46bo2$196bo$191b2o
3bo3b2o$191bo9bo$192b4ob4o$195bobo$194bo3bo$194b2ob2o13$50bo$50bo$49b
obo15$41bo$40b3o29$49b3o$50bo15$40bobo$41bo$41bo2$36b2o$35bobo$35bo$32b
2ob2o$32bob3o$36bo$32bob3o$32b2ob2o$35bo$35bobo$36b2o$43b2o2b3o2b2o$43b
o9bo$44b4ob4o$47bobo$46bo3bo$46b2ob2o!

LuveelVoom · Post by **LuveelVoom** » October 13th, 2026, 10:58 pm

My new unit, clearness, applied to TTs objects (>100m in C1 currently):

: Screenshot 2026-10-13 at 7.57.18 PM.png (151.99 KiB) Viewed 69 times

Addendum; some messing arounds
Random catalysis...

Code: Select all

x = 15, y = 14, rule = B3/S23-a5
12b3o$12b3o$13bo5$2o$o2bo5b2o$b3o4bo2bo$8bobo$b3o5bo$o2bo$2o!

Big methusela

Code: Select all

x = 10, y = 5, rule = B3/S23-a5
b2o$o2bo$o2bo3bo$b2o4bobo$7b3o!

hotcrystal0 · Post by **hotcrystal0** » Yesterday, 7:22 am

LuveelVoom wrote: October 13th, 2026, 10:58 pm My new unit, clearness, applied to TTs objects (>100m in C1 currently):
Screenshot 2026-10-13 at 7.57.18 PM.png

Might it be worth it to look for pond baits, then? Also, what does “clearness” even measure?

ConwayLife.com

Travelling Ts(b3s23-a5) and its variants

Re: Travelling Ts(b3s23-a5) and its variants

Re: Travelling Ts(b3s23-a5) and its variants

Re: Travelling Ts(b3s23-a5) and its variants

Re: Travelling Ts(b3s23-a5) and its variants

Re: Travelling Ts(b3s23-a5) and its variants

Re: Travelling Ts(b3s23-a5) and its variants

Re: Travelling Ts(b3s23-a5) and its variants

Re: Travelling Ts(b3s23-a5) and its variants

Re: Travelling Ts(b3s23-a5) and its variants

Re: Travelling Ts(b3s23-a5) and its variants

Re: Travelling Ts(b3s23-a5) and its variants

Re: Travelling Ts(b3s23-a5) and its variants

Re: Travelling Ts(b3s23-a5) and its variants

Re: Travelling Ts(b3s23-a5) and its variants

Re: Travelling Ts(b3s23-a5) and its variants

Re: Travelling Ts(b3s23-a5) and its variants

Re: Travelling Ts(b3s23-a5) and its variants

Re: Travelling Ts(b3s23-a5) and its variants

Re: Travelling Ts(b3s23-a5) and its variants

Re: Travelling Ts(b3s23-a5) and its variants

Re: Travelling Ts(b3s23-a5) and its variants

Re: Travelling Ts(b3s23-a5) and its variants

Re: Travelling Ts(b3s23-a5) and its variants

Re: Travelling Ts(b3s23-a5) and its variants

Re: Travelling Ts(b3s23-a5) and its variants