User:Entity Valkyrie 2/Cyclotron guns

A cyclotron is a type of gun whose output is created from collisions between spaceships themselves (e.g. 4G-to-5G reaction), not by any other mechanisms. In a cyclotron gun, there only allowed stable/oscillating objects are reflectors (e.g. glider-block cycle, snark, twin bees shuttle etc.), and converters.

Entity Valkyrie has constructed three cyclotrons, one of period 369, and two of period 331. All of them only use stable reflectors, and all use this particular 4G-to-6G over-unity reaction. In takes in 4 gliders, and outputs 6 (although four of the gliders form two closely spaced pairs)

x = 89, y = 66, rule = B3/S23 obo$b2o$bo18$39bo$37bobo$38b2o37$86bobo$87b2o$87bo2$85b2o$84b2o$86bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ X 24 Y 32 WIDTH 640 HEIGHT 640 ZOOM 4 AUTOSTART T 0 PAUSE 1 T 308 PAUSE 1 LOOP 309 ]]

4G-to-6G reaction (click above to open LifeViewer)

It is worth noting that two of the input gliders form a 10hd glider pair (which is less than the 17hd of output clearance of the Snark). The output also has two closely-spaced glider pairs — one 9hd and one 16hd.

Period-369 snarklotron gun

In January 10, 2020, Entity Valkyrie constructed a period-369 cyclotron. At the time, the only elementary stable reflector whose output didn't collide with the input (or any of the reflectors feeding into the input) was the Snark. So the cyclotron constructed used only snarks (and block rephasers). Not only that, there are no welds anywhere — the only still lives in this cyclotron are the block, eater 1, and 31.4.

Reflecting the gliders back into input stream, however, was not trivial. The reaction had to be combined into pairs to solve the issue with the snark not having enough clearance for the 10hd pair in the input stream. Also, since the only 1G-to-1G reflector in this cyclotron, the Snark, is color-preserving, there is an issue with glider color (the Bandersnatch was yet to be discovered. So the reaction is duplicated again, resulting in four copies of the 4G-to-6G reaction.

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43b2o53bo22bo16b4o32b2o39b2o54bo50bo$57b2o38b2o20bo16b2o3bo3b2o27bo39b obo26b2o28bo48b5o14b2o$58bo19b2o39b2o14bo2b3o4b2o24b2obo41bo4b2o21bo8b 2o14b5o53bo13bo$55b3o20bo56b2obo32bo2b3o4b2o38bo22bob2o6bo13bo55b3o12b obo$55bo24bo8b2o47bo33b2o3bo3b2o39b3o11b2o4b3o2bo6bobo12b3o51bo15b2o$ 60b2o14b5o8bo48b2o34b4o46bo11b2o3bo3b2o8b2o15bo50b4o$61bo13bo10b2obo 84bo15b2o49b4o24b4o48b2o3bo3b2o$53b2o6bobo12b3o7bo2b3o4b2o77b3o12bobo 34b2o15bo19b2o3bo3b2o45bo2b3o4b2o$46b2o5bobo6b2o15bo7b2o3bo3b2o48b2o 30bo13bo33bobo12b3o20b2o4b3o2bo44b2obo$46b2o7bo20b4o9b4o54bo25b5o14b2o 32bo13bo31bob2o8b2o37bo$55b2o14b2o3bo3b2o7bo15b2o37b3o26bo24bo26b2o14b 5o26bo10bobo37b2o22bo$71b2o4b3o2bo7b3o12bobo36bo30bo20b3o46bo25b2o4b2o 4bo63b3o$42bo36bob2o10bo13bo6bo59b2o19bo47bo31bo2bo2b2ob4o62bo$41bobob 2o32bo8b5o14b2o3b3o80b2o46b2o30b2obobobobo2bo43b2o16b2o$41bobobobo30b 2o8bo22bo151b2o13bobobobo47bo$38b2obobobobo2bo39bo20b2o150bo14bobob2o 45b3o$38bo2bo2b2ob4o38b2o173b3o12bo49bo$40b2o4bo23b2o94b2o98bo$46bobo 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12bobo73bo2bo2b2ob4o$69bo145bo15b2o61b2o11b2obobobobo2bo44b2o$66b3o50b 2o94b4o75bo15bobobobo48bo$40b2o24bo53bo85b2o5b2o3bo3b2o71b3o12bobob2o 49bob2o$41bo78bob2o75b2o5bobo3bo2b3o4b2o73bo13bo45b2o4b3o2bo$38b3o71b 2o4b3o2bo75b2o7bo3b2obo141b2o3bo3b2o$38bo25b2o46b2o3bo3b2o85b2o5bo22bo 85b2o36b4o$57b2o5bobo50b4o94b2o21b3o74b2o7bo23b2o15bo$57b2o7bo36b2o15b o74bo45bo73b2o5bobo22bobo12b3o$66b2o34bobo12b3o74bobob2o40b2o80b2o23bo 13bo$102bo13bo77bobobobo22b2o121b2o14b5o$53bo47b2o14b5o69b2obobobobo2b o20bo141bo$52bobob2o38bo24bo69bo2bo2b2ob4o17b3o18bo121bo$52bobobobo37b 3o20bo73b2o4bo21bo20b2o120b2o$49b2obobobobo2bo37bo19b2o78bobo39bob2o$ 49bo2bo2b2ob4o36b2o100b2o41b2o$51b2o4bo192b2o60b2o$57bobo190bobo60bo$ 58b2o183b2o7bo57b3o$252b2o56bo$332bo$239bo92b3o$108b2o128bobob2o91bo$ 101b2o5bobo127bobobobo89b2o$101b2o7bo124b2obobobobo2bo$110b2o123bo2bo 2b2ob4o$237b2o4bo$97bo145bobo11bo72b3o$96bobob2o142b2o11b2o71bo$96bobo bobo153bobo72bo$93b2obobobobo2bo238b2o$93bo2bo2b2ob4o135b2o94b2o5bobo$ 95b2o4bo140bo94bo8bo$101bobo136bo105b2o$102b2o136b5o14b2o$245bo13bo73b o$242b3o12bobo72bobob2o$241bo15b2o73bobobobo$241b4o84b2obobo3bo2bo$ 239b2o3bo3b2o79bo2bo2b2ob4o$238bo2b3o4b2o81b2o4bo$238b2obo95bobo$241bo 96b2o$241b2o22bo$265b3o$268bo$249b2o16b2o$250bo$247b3o$247bo4$277b2o$ 270b2o5bobo$270b2o7bo$279b2o2$266bo$265bobob2o$265bobobobo$262b2obobob obo2bo$262bo2bo2b2ob4o$264b2o4bo$270bobo$271b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ WIDTH 1152 HEIGHT 950 ZOOM 2 AUTOSTART LOOP 369 ]] Jan 20, 2020 p369 snarklotron gun 534×451; pop 6366 (click above to open LifeViewer)

x = 574, y = 451, rule = 12ColorMarkedLife 281.2E$281.E.E$283.E4.2E$279.4E.2E2.E2.E$279.E2.E.E.E.E.2E$281.DEDEDE .E$282.D2EDE.E$283.2D.DE$282.3D$273.2E6.4D$274.E6.D2E3D$274.E.ED3.D2E 3D$275.2ED.10D$277.13D$277.14D$277.15D$279.8D2.4D13.E$279.6D5.4D10.3E $278.9D4.4D8.E$277.4D4.2E5.4D7.2E$276.4D5.E7.4D3.5D$275.4D7.3E5.4D2. 3D$274.4D10.E6.9D7.2E$214.2E57.4D19.8D8.E$214.E.E55.4D21.10D3.D.E.2E$ 216.E4.2E48.4D22.7D2E2D.D3E2.E$212.4E.2E2.E2.E45.4D23.7D2E3DED2.2E$ 212.E2.E.D.E.E.2E44.4D24.12D4E$214.DEDEDE.E46.4D23.2ED.7D3.2D.E$215.D 2EDE.E45.4D23.E.ED.7D2.D3E$216.2D.DE45.4D24.E5.4D4.E$215.3D47.4D24.2E 5.4D5.5E136.2S$206.2E6.4D46.4D31.4D10.E136.S.S$207.E6.2DE3D43.4D31.4D 9.E140.S4.2S$207.E.ED3.D2E3D42.4D31.4D10.2E135.4S.2S2.S2.S$208.2ED. 10D39.4D31.4D148.S2.S.S.S.S.2S$210.12DE37.4D31.EDED151.RSRSRS.S$210. 13DE35.4D31.D2ED10.2E141.R2SRS.S$210.11D3ED33.4D31.3DE11.E.E141.2R.RS $212.8D2.4D31.4D31.4D14.E4.2E134.3R$212.6D5.4D29.4D31.4D11.4E.2E2.E2. E123.2S6.4R$211.9D4.4D27.4D31.4D12.E2.E.E.E.E.2E124.S6.R2S3R$210.4D4. 2E5.4D25.4D31.4D15.DEDEDE.E127.S.SR3.R2S3R$209.4D5.E7.4D23.4D31.4D17. D2EDE.E128.2SR.10R$208.4D7.3E5.4D21.4D31.4D19.2D.DE131.13R$207.4D10.E 6.4D19.4D31.4D19.3D134.14R$206.4D19.4D10.E6.4D31.4D11.2E6.4D134.15R$ 205.4D21.4D7.3E5.4D31.4D13.E6.D2E3D134.8R2.4R32.2S$204.4D23.4D5.E7.4D 31.4D14.E.ED3.6D134.6R5.4R31.S.S$203.4D25.4D4.2E5.4D31.4D16.2ED.10D 131.9R4.4R32.S4.2S$202.4D27.9D4.4D31.4D19.5D2E6D35.2O92.4R4.2S5.4R27. 4S.2S2.S2.S$201.4D29.6D5.4D31.4D20.5D2EDE5D34.O.O78.2S10.4R5.S7.4R26. S2.S.S.S.S.2S$188.2E10.4D30.8D2.4D31.4D21.6D2E7D13.E21.O4.2O73.S9.4R 7.3S5.4R27.RSRSRS.S$189.E9.4D29.15D31.4D24.5DE2D2.4D10.3E17.4O.2O2.O 2.O69.S10.4R10.S6.4R27.R2SRS.S$187.E10.4D30.14D31.4D25.6D5.4D8.E20.O 2.O.O.O.O.2O69.5S5.4R5.2S12.4R27.2R.RS$187.5E5.4D5.2E24.13D31.4D25.9D 4.4D7.2E21.NONONO.O77.S4.4R5.S14.4R25.3R$192.E4.4D5.E23.2ED.10D31.4D 25.4D4.2E5.4D3.5D22.N2ONO.O74.3SR2.7R.RS.S15.4R15.2S6.4R$189.3ED2.7D. 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E3D31.4D33.D3E11D$116.S.SR2SR141.2E10.D2ED31.4D35.E13D$116.S.SRSRSR 151.DEDE31.4D37.E12D$113.2S.S.S.S.S2.S148.4D31.4D39.10D.D2E$113.S2.S 2.2S.4S135.2E10.4D31.4D42.3D2ED3.DE.E$115.2S4.S140.E9.4D31.4D43.3DE2D 6.E$121.S.S136.E10.4D31.4D46.4D6.2E$122.2S136.5E5.4D5.2E24.4D47.3D$ 265.E4.4D5.E24.4D45.ED.2D$262.3ED2.7D.DE.E23.4D45.E.ED2ED$261.E.2D3. 7D.D2E23.4D46.E.EDEDED$261.4E12D24.4D44.2E.E.E.D.E2.E$259.2E2.DE3D2E 7D23.4D45.E2.E2.2E.4E$258.E2.3ED.2D2E7D22.4D48.2E4.E$258.2E.E.D3.10D 21.4D55.E.E$261.E8.8D19.4D57.2E$261.2E7.9D6.E10.4D$271.3D2.4D5.3E7.4D $269.5D3.4D7.E5.4D$269.2E7.4D5.2E4.4D$270.E8.4D4.9D$267.3E10.4D5.6D$ 267.E13.4D2.8D$282.15D$283.14D$284.13D$285.10D.D2E$287.3D2ED3.DE.E$ 287.3D2ED6.E$289.4D6.2E$289.3D$286.ED.2D$285.E.ED2ED$285.E.EDEDED$ 282.2E.E.E.E.E2.E$282.E2.E2.2E.4E$284.2E4.E$290.E.E$291.2E! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ WIDTH 1120 HEIGHT 950 ZOOM 2 AUTOSTART LOOP 369 ]] Color-annotated. The four 4G-to-6G reactions are in gray. Note that the gun has 2 barrels and is 180-degrees rotationally symmetric (the yellow and orange paths should really be the same color, but they cross each other) (click above to open LifeViewer)

Period-331 cyclotron gun 1 (with Bandersnatches)

The discovery of the Bandersnatch in June 2020 solved several complications with the cyclotron design. Firstly, it is color-changing — the output glider stream is on a different color as the input. This means that it is no longer necessary to duplicate the entire reaction just to solve color-related problems. Also, the Bandersnatch's output clearance is only 9hd, compared to Snark's 17hd. So it is also no longer necessary to pair up reactions just to provide one of each other's input gliders (the outer one of the two in the 10hd pair). This meant that using only one copy of the 4G-to-5G reaction is all fine now — no need for four copies.

x = 39, y = 43, rule = 12ColorMarkedLife K$.2K$2KDRDR$2.RDRD$2.DRDR$2.RDRD$2.DRDR$2.RDRD28.A$2.DRDR27.A.A$2.RD RD27.A.A$2.DRDR26.2A.3A$2.RDRD14.2A16.A$2.DRDR14.2A10.2A.3A$2.RDRD26. 2A.A$2.DRDR$2.RDRD$2.DRDR$2.RDRD$2.DRDR$2.RDRD$2.DRDR29.2A$2.RDRD20.A 8.2A$2.DRDR19.A.A$2.RDRD19.A2.A$2.DRDR20.2A$2.RDRD3.2A$2.DRDR2.A.A$2. RDRD2.A24.2A$2.DRDR.2A24.2A$2.RDRD$2.DRDR$2.RDRD$2.DRDR$2.RDRD10.O7. 2A$2.DRDR11.2O5.2A$2.RDRD10.2ORDRD$2.DRDR12.DRDR$2.RDRD12.RDRD$2.DRDR 12.DRDR$2.RDRDRDRDRDRDRDRDRDRD$2.DRDRDRDRDRDRDRDRDRDR$2.RDRDRDRDRDRDR DRDRDRD$2.DRDRDRDRDRDRDRDRDRDR! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ WIDTH 480 HEIGHT 360 ZOOM 6 ]] Bandersnatch is color-changing (click above to open LifeViewer)

x = 82, y = 51, rule = 12ColorMarkedLife 45.CB$45.B2C$45.2C2B$46.4B$47.4B$48.4B25.C$49.4B23.C.C$50.4B22.C.C$ 51.4B20.2C.3C$52.4B7.2C11.B4.C$13.2C38.4B5.B2CB4.2B2.B2CB3C$13.C.C38. 4B3.7B.6B2C.C$15.C4.2C33.22B$11.4C.2C2.C2.C32.19B$11.C2.C.C.C.C.2C33. 19B$13.BCBCBC.C37.18B$14.B2CBC.C36.19B$15.2B.BC36.20B.2B$14.3B39.22B 2C$5.2C6.4B39.13BC6B.B2C$SR4.C6.B2C3B35.14BCBC5B2.B$R2S3.C.CB3.B2C3B 35.14BC2BC5B$2S2R3.2CB.10B32.16B2C5B$.4R4.12BD30.2CB2.19B$2.4R3.12B2D 28.C.CB2.20B$3.4R2.12B3D27.C4.3B.16B2C$4.4R3.8B2.4D20.SR3.2C3.21B2C$ 5.4R2.6B5.4D19.R2S7.10B2.7B.2B$6.4R9B4.4D18.2S2R6.10B2.6B$7.4R2B4.2C 5.4D18.4R7.8B3.4B$8.4R5.C7.4D18.4R6.4B.2B3.2B$7.2B4R5.3C5.4D18.4R6.3B 5.B2CB$6.4B4R6.C6.4D18.4R5.2B2D5.2C$5.4B2.4R13.4D18.4R5.4D$4.4B4.4R 13.4D18.4R5.4D$3.4B6.4R13.4D18.4R5.4D$2.4B8.4R13.4D18.4R5.4D$.4B10.4R 13.4D18.4R5.4D$2C2B12.2RSR13.2DED18.2RSR5.2DED$B2C14.2R2S13.2D2E18.2R 2S5.2D2E$CB16.2S15.2E20.2S7.2E2$19.N16.N21.N8.N$19.18N21.10N3$20.2N2. 3N.N.N.2N24.3N.N.N.2N$21.N4.N.N.N.N.N23.N.N.N.N.N.N$21.N4.N.3N.N.N23. 3N.3N.N.N$21.N4.N.N.N.N.N25.N.N.N.N.N$20.3N3.N.N.N.2N24.3N.N.N.2N! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ WIDTH 480 HEIGHT 360 ZOOM 6 ]] Bandersnatch has an output clearance of 9hd (click above to open LifeViewer)

Entity Valkyrie actually didn't "update" (build another) cyclotron gun until June 21, 2022. And it was made period 331 — this is the lowest period the 4G-to-6G reaction supports. This one also contained Bandersnatches (not just Snarks), and was substantially smaller than the previous, using only one copy of the 4G-to-6G reaction.

x = 219, y = 187, rule = B3/S23 74b2o34b2o$73bobo33bobo$67b2o4bo29b2o4bo31bo$65bo2bo2b2ob4o23bo2bo2b2o b4o26bobo$65b2obobobobo2bo23b2obobobobo2bo17b2o7bobo$68bobobobo29bobob obo20b2o6b2ob3o$68bobob2o30bobob2o14b2o19bo$69bo35bo18b2o13b2ob3o$139b 2obo$82b2o34b2o$73b2o7bo26b2o7bo$73b2o5bobo26b2o5bobo$80b2o34b2o11bo$ 128bobo$47bo80bo2bo$47b3o68b2o9b2o$50bo67b2o$49b2o2$70b2o14bo19b2o32b 2o$71bo14b3o18bo32b2o$68b3o18bo14b3o$27bo40bo19b2o14bo$27b3o$30bo158b 2o$29b2o158bobo$90bobo98bo4b2o$63b2o25b2o73b2o20b4ob2o2bo2bo$21b2o40b 2o26bo73bobo19bo2bobobobob2o$21bo76b2o51bo15bo4b2o16bobobobo$18b2obo 69b2o5bobo25b2o5b2o14b5o9b4ob2o2bo2bo15b2obobo$18bo2b3o4b2o11b2o48b2o 7bo26bo6bo13bo5bo8bo2bobobobob2o19bo$19b2o3bo3b2o11b2o9b2o46b2o22b3o7b obo12b3o2bo11bobobobo$21b4o26bo2bo69bo10b2o15bob2o11b2obobo8b2o$21bo 15b2o12bobo33bo61b4o2bo15bo10bo7b2o$22b3o12bobo12bo25b2o6bobob2o4b2o 46b2o3bo3b2o27bobo5b2o17bo$25bo13bo30b2o5bobo6bobobobo2bo2bo45b2o4b3o 4b2o24b2o22b3o$20b5o14b2o29bobo4bo7b2obobobo3b2o54bo5bo7b2o38bo$20bo 51bo2b2ob4o4bo2b2ob4o56bob2o2bobo5b2o38b2o$22bo39b2obo5b2obobobo2bo4bo 4bo3bo15bo39b2ob2o3b2o$21b2o24b2o13b2ob3o4bobobobo8b3o2b3o15bobo$47b2o 19bo3bobob2o6b3o2b2obo8b2o7bobo101b2o$54b2o6b2ob3o5bo10bo2bo3bo9b2o6b 2ob3o28b2o70bo$54b2o7bobo19b2ob3o3b2o19bo27bo49b2o20bob2o$63bobo20bobo 5b2o13b2ob3o29b3o46bo13b2o4b3o2bo$64bo12b2o7bo22b2obo4b2o27bo47b3o10b 2o3bo3b2o$77b2o5bobo31bo50b2o25bo15b4o$84b2o30bo52bo26bob2o15bo$116b5o 14b2o33b3o21b2obobo12b3o$99bo21bo13bo36bo21bo2bo13bo$24b2o72bobo17b3o 12bobo60b2o14b5o$24bobo71bo2bo15bo15b2o81bo$26bo4b2o15bo39b2o9b2o16b4o 93bo$22b4ob2o2bo2bo11bobo39b2o25b2o3bo3b2o88b2o$22bo2bobobobob2o12b2o 25b2o38bo2b3o4b2o$25bobobobo43bo38b2obo$26b2obobo40b3o35b2o5bo$30bo41b o37b2o5b2o$133b3o34b3o$16b2o115bo38bo$17bo7b2o98b2o7bo36bo$17bobo5b2o 99bo$18b2o103b3o$123bo$86bo88bo$85bobo87b3o$85bobo90bo$84b2ob3o6b2o15b o63b2o$72b2o16bo6bo14b2o9bo28b2o$28b2o42b2o10b2ob3o4b3o8b2o5bobo6b5o 26b2o$28bo55b2obo6bo11bo13bo5bo42b2o31bo$29b3o74bobo12b3o2bo42bo33b2o$ 30bo2bo73b2o15bob2o38b2obo32b2o$24b2o2bo3b4o85b2obo41bo2b3o4b2o$3b2o 19bo2bob3o4bo79b2o3b2o2b3o39b2o3bo3b2o$4bo20b2obo3bo2b2o79bo6b2o3bo40b 4o$2bo23bobo2bo85bo6bo2bo41bo15b2o$2b5o14b2o2bo2bobo56b2o35bobo43b3o 12bobo$7bo13bo3bobobo48bo8b2o33bob2o47bo13bo$4b3o12bobo2b2obo49bobo41b obo44b5o14b2o$3bo15b2o6bo49bo2bo40bobo44bo$3b4o20b3o5bo42b2o35b2o5bo 47bo$b2o3bo3b2o13b2o3bo3b2o25b2o52bo53b2o$o2b3o4b2o12bo2bob2o29bobo53b 3o$2obo20b2obo15b2o15bo24b2o31bo$3bo21bo2b3o12bobo13b2o24b2o$3b2o20bo 5bo13bo44bo$26b5o8bo5b2o41b5o14b2o11b3o$28bo8bobo47bo5bo13bo14bo$11b2o 25b2o47bo2b3o12bobo13bo$12bo63b2o8b2obo15b2o$9b3o64b2o8bo2b4o99bo$9bo 77b2o3bo3b2o95b2o$89b3o4b2o94b2o15bo$89bo98b2o17b3o$64bo21b2obo98bo17b o$20b2o43bo20b2ob2o99bo15b2o$20b2o41b3o104b2o14b5o$171bo13bo$97b2o72bo bo12b3o25b2o$98bo73b2o15bo25bo$95b3o88b4o25bob2o$11b2o24b2o56bo85b2o3b o3b2o15b2o4b3o2bo$11b2o24bo143b2o4b3o2bo14b2o3bo3b2o$20b2o13bobo151bob 2o19b4o$18bo4bo11b2o152bo8b2o15bo$18bo5bo163b2o7bobo12b3o$17bo6bo172bo 13bo$18bo4b2o171b2o14b5o$9b2o7bo161b2o34bo$9b2o8bobo158bo33bo$181b3o2b o27b2o$183bo2b3o$189bo$188b2o3$10bob2o166b2o$8b3ob2o10b2o154bo$7bo16b 2o151b2obo$8b3ob2o163bo2b3o4b2o$10bobo15b2o148b2o3bo3b2o$10bobo15b2o 150b4o$11bo168bo15b2o$181b3o12bobo$184bo13bo$179b5o14b2o$19b2o24b2o 132bo$19b2o24bo47bo2bo84bo$43bobo46bo3b2o5b2o75b2o27bo$43b2o47bo3bo6b 2o102b3o$26b2o64bo3bo109bo$25bo2bo64bo2bo109b2o$26bobo66bo$17b2o8bo$ 17b2o195b2o$142b2o71bo$143b2o70bob2o$142bo64b2o4b3o2bo$207b2o3bo3b2o$ 86bo125b4o$86bobo109b2o15bo$18bob2o64b2o98bo10bobo12b3o$16b3ob2o10b2o 152b3o8bo13bo$15bo16b2o155bo6b2o14b5o$16b3ob2o166b2o26bo$18bobo193bo$ 18bobo193b2o$19bo51b2o$72bo$69b3o89bo$69bo91b3o$164bo$163b2o12bo$61bo 114bo$61b3o112b3o23b2o$64bo137b2o$63b2o2$180b2o$180b2o9b2o$141bo48bobo $141b3o46b3o8b2o$144bo32b2o17bo4b2o$73b2o32bo35b2o32b2o18b2o$66b2o5bob o29b3o90bo$66b2o7bo28bo91b3o$75b2o27b2o49b2o44b2obo$155b2o9b2o18b2o13b 2ob3o$62bo102bo2bo17b2o19bo$61bobob2o98bobo25bo7b2ob3o$61bobobobo85b2o 11bo26b2o7bobo$58b2obobobobo2bo75b2o5bobo46bobo$58bo2bo2b2ob4o75b2o7bo 47bo$60b2o4bo27b2o59b2o$66bobo24bobo5b2o73b2obo$67b2o24bo7b2o39bo18b2o 13b2ob3o$92b2o47bobob2o14b2o19bo$141bobobobo20b2o6b2ob3o$106bo31b2obob obobo2bo17b2o7bobo$102b2obobo30bo2bo2b2ob4o26bobo$101bobobobo32b2o4bo 31bo$98bo2bobobobob2o35bobo$98b4ob2o2bo2bo36b2o$102bo4b2o$100bobo$100b 2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ WIDTH 920 HEIGHT 800 ZOOM 4 AUTOSTART LOOP 331 ]] Jun 21, 2022 p331 cyclotron gun 2 219×187; pop 1683 (click above to open LifeViewer)

x = 231, y = 187, rule = 12ColorMarkedLife 74.2O34.2O$73.O.O33.O.O$67.2O4.O29.2O4.O31.O$65.O2.O2.2O.4O23.O2.O2. 2O.4O26.O.O$65.2O.O.O.O.O2.O23.2O.O.O.O.O2.O17.2O7.O.O$68.O.ONONON28. O.ONONON18.N2ON5.2O.3O$68.O.ON2ON29.O.ON2ON13.2O5.3N6.N4.O$69.ON.2N 31.ON.2N13.N2ON2.N2.N5.N2ON3O$72.3N33.3N12.14N.N2O.O$72.4N6.2O24.4N6. 2O4.17N$70.3N2ON6.O23.3N2ON6.O4.17N$70.3N2ON3.NO.O23.3N2ON3.NO.O3.18N $68.10N.N2O22.10N.N2O3.8NO11N$67.13N23.13N5.7NONO10N$47.O18.14N22.14N 3.N.7NO2NO8N$47.3O15.15N21.15N2.2O9N2O8N$50.O13.4N2.8N22.4N2.8N4.2ON. 18N$49.2ON11.4N5.6N21.4N5.6N5.N4.16N$49.5N8.4N4.9N19.4N4.9N9.17N$45. 3N3.3N7.4N5.2O4.4N6.O10.4N5.2O4.4N5.19N2O$45.4N2.6N3.4N7.O5.4N5.3O7. 4N7.O5.4N3.20N2O$43.15N.4N5.3O7.4N7.O5.4N5.3O7.4N2.21N$27.O13.21N6.O 10.4N5.2O4.4N6.O10.4N2.19N$27.3O10.8N.13N18.4N4.9N19.23N$30.O8.23N19. 4N5.6N21.8N.13N50.2S$29.2O7.4N2.19N19.4N2.8N22.21N50.S.S$29.5N3.4N2. 21N19.7NONO5N22.15N.4N51.S4.2S$31.3N2.4N3.20N2O19.6N2O6N24.4N2.6N3.4N 24.2pA20.4S.2S2.S2.S$21.2O7.9N5.19N2O20.6NO6N24.3N3.3N7.4N23.pA.pA19. S2.S.S.S.S.2S$21.O8.8N9.17N22.10N.N2O26.5N8.4N8.O15.pA4.2pA15.RSRSRS. S$18.2O.O.N3.10N5.N4.16N25.3N2ON3.NO.O25.2ON4.2O5.4N5.5O9.4pA.2pA2.pA 2.pA14.R2SRS.S$18.O2.3ON.2N2O7N4.2ON.18N25.3N2ON6.O26.O6.O5.4N4.O5.O 8.pA2.pA.pA.pA.pA.2pA15.2R.RS$19.2O2.NO3N2O7N4.2O9N2O8N28.4N6.2O22.3O 7.O.ON.7N2.N3O2.O10.XpAXpAXpA.pA17.3R$21.4O12N5.N.7NO2NO8N27.3N31.O 10.2ON.7N3.2N.O.2O10.X2pAXpA.pA8.2S6.4R$21.O.2N3.7N.N2O5.7NONO10N23.O N.2N45.12N4O2.O11.2X.XpA10.S6.R2S3R$22.3ON2.7N.NO.O4.8NO11N14.2E6.O.O N2ON3.2O39.7N2O3NON2.2O11.3X13.S.SR3.R2S3R14.S$25.O4.4N5.O5.18N7.2E5. E.E6.O.ONONON.O2.O38.7N2O2N.N3O4.2pA6.4X14.2SR.10R10.3S$20.5O5.4N5.2O 5.17N7.E.E4.E7.2O.O.O.O3.2O39.10N3.N.O5.pA6.X2pA3X14.13R8.S$20.O10.4N 12.17N8.E2.2E.4E4.O2.2O.4O40.8N8.O.2O2.pA.pAX3.X2pA3X14.14R7.2S$22.O 9.4N10.14N.N2O.O5.2E.E.E.E2.E4.O4.O3.O15.E23.9N7.2O.2O3.2pAX.10X12. 15R3.5R$21.2O10.4N9.N2ON2.N2.N5.N2ON3O4.E.EDEDED7.3O2.3O15.E.E21.4N2. 3N18.13X13.8R2.4R2.3R$34.4N9.2O5.3N6.N4.O3.E.ED2ED5.3E2.2O.O8.2E7.E.E 20.4N3.5N16.14X12.6R5.9R7.2S$35.4N14.N2ON5.2O.3O5.ED.2D6.E2.E3.O8.D2E D5.2E.3E17.4N7.2O16.15X10.9R4.8R8.S$36.4N14.2O7.O.O10.3D6.2E.3E3.2E5. 3D6.D4.E15.4N8.O19.8X2.4X8.4R4.2S5.10R3.R.S.2S$37.4N22.O.O10.4D6.E.E 4.D2ED2.D2.D5.D2ED3E15.4N10.3O16.6X5.4X6.4R5.S6.7R2S2R.R3S2.S$38.4N 22.O9.3D2ED6.E6.14D.D2E.E4.2O10.4N13.O15.9X4.4X4.4R7.3S3.7R2S3RSR2.2S $39.4N31.3D2ED3.DE.E7.17D7.O9.4N29.4X4.2pA5.4X2.4R10.S3.12R4S$40.4N 28.10D.D2E7.17D6.O10.4N29.4X5.pA7.4X4R11.S.2SR.7R3.2R.S$41.4N26.13D8. 18D6.5O5.4N5.2O22.4X7.3pA5.3X3R10.2S.S.SR.7R2.R3S$42.4N24.14D7.8DE11D 10.O4.4N5.O22.4X10.pA6.2X2R11.S2.S5.4R4.S$24.2K17.4N22.15D7.7DEDE10D 7.3ON2.7N.NO.O21.4X17.3R3X12.2S5.4R5.5S$24.K.K17.4N20.4D2.8D7.D.7DE2D E8D7.O.2N3.7N.N2O21.4X17.4R4X17.4R10.S$26.K4.2K12.3NO18.4D5.6D6.2E9D 2E8D8.4O12N22.4X17.4R2.4X15.4R9.S$22.4K.2K2.K2.K11.ONON16.4D4.9D5.2ED .18D5.2O2.NO3N2O7N21.4X17.4R4.4X13.4R10.2S$22.K2.K.K.K.K.2K12.2O2N14. 4D5.2E4.4D5.D4.16D4.O2.3ON.2N2O7N20.4X17.4R6.4X11.4R$24.JKJKJK.K16.4N 12.4D7.E5.4D9.17D3.2O.O.N3.10N19.4X17.4R8.4X9.4R$25.J2KJK.K17.4N10.4D 5.3E7.4D5.19D2E5.O8.8N17.4X17.4R10.4X7.4R$26.2J.JK19.4N8.4D6.E10.4D3. 20D2E5.2O7.9N15.4X17.4R12.4X5.4R$25.3J23.4N6.4D19.4D2.21D16.3N2.N3O 13.4X17.3SR14.4X3.4R$16.2K6.4J24.4N4.4D21.4D2.19D15.5N3.O3N11.4X17.3R S16.4X.4R$17.K6.J2K3J23.4N2.4D23.23D16.2O7.O3N9.4X17.3RS18.4X3R$17.K. KJ3.J2K3J24.4N4D25.8D.13D17.O8.4N7.4X17.4R20.3X2R$18.2KJ.10J23.3N3D 27.21D14.3O10.4N5.4X17.4R21.3R2X$20.13J23.2D2N30.15D.4D13.O13.4N3.4X 17.4R21.4R3X$20.14J21.3D3N25.O5.4D2.6D3.4D27.4N.4X17.4R7.S13.4R.4X$ 20.15J19.4D4N23.O.O4.3D3.3D7.4D27.3N4X17.4R8.3S10.4R3.4X$22.8J2.4J17. 4D2.4N22.O.O8.5D8.4D27.2N3X17.4R12.S8.4R5.4X$22.6J5.4J15.4D4.4N20.2O. 3O6.2ED11.3DE26.2X3N16.4R12.2S7.4R7.4X$21.9J4.4J13.4D6.4N7.2O11.N4.O 6.E13.D2ED8.E15.3X4N6.OS6.4R13.5R3.4R9.4X$20.4J4.2K5.4J11.4D8.4N5.N2O N4.2N2.N2ON3O4.3E8.2E5.EDED5.5E12.4X.4N4.NOSR4.4R16.3R2.4R11.4X$19.4J 5.K7.4J9.4D10.4N3.7N.6N2O.O6.E11.E5.4D4.E5.E10.4X3.4N4.NR4.4R7.2S7.9R 13.2XpAX$18.4J7.3K5.4J7.4D12.22N20.E.ED.7D2.D3E2.E9.4X5.8N8R8.S8.8R 15.2X2pA$17.4J9.K2.E4.4J5.4D14.19N23.2ED.7D3.2D.E.2E7.4X7.7N7R6.2S.S. 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K.K.K2.K25.14R33.3R2SR3.RS.S3.18R25.S.S$58.K2.K2.2K.4K25.13R34.3R2SR 6.S4.17R26.S$60.2K4.K27.2SR.10R37.4R6.2S4.17R$66.K.K24.S.SR3.R2S3R39. 3R12.14R.R2S.S$67.2K24.S6.R2S3R36.SR.2R13.R2SR2.R2.R5.R2SR3S$92.2S6. 4R37.S.SR2SR13.2S5.3R6.R4.S$101.3R37.S.SRSRSR18.R2SR5.2S.3S$102.2R.RS 31.2S.S.S.S.S2.S17.2S7.S.S$101.R2SRS.S30.S2.S2.2S.4S26.S.S$100.RSRSRS .S32.2S4.S31.S$98.S2.S.S.S.S.2S35.S.S$98.4S.2S2.S2.S36.2S$102.S4.2S$ 100.S.S$100.2S! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ X -7 WIDTH 920 HEIGHT 800 ZOOM 4 AUTOSTART LOOP 331 ]] Color-annotated. The 4G-to-6G reaction is in gray. Note the Bandersnatches — red is the only path with a net color change. Blue, green, and yellow have pairs for timing adjustments. (click above to open LifeViewer)

Period-331 cyclotron gun 2 (with Snark64s)

In December 2023, the Snark64 was discovered. It has two properties that set it apart from the regular Snark — firstly, it has a different clearance profile — it has a high input clearance of only 11hd (compared to the Snark's 18hd). This means that it can be used to separate the 16hd output glider pair, meaning that the step of using a block rephaser is no longer needed. Also, even though Snark64 is also color-preserving, it has a different timing as the regular Snark — when reflected to the same lane, Snark64 is 19 ticks (≡ 3 mod 8) faster.

x = 92, y = 41, rule = 12ColorMarkedLife 3.2N2.3N.N.N.2N27.2N2.2N2.N.N.2N$4.N2.N.N.N.N.N.N27.N3.N2.N.N.N.N$4.N 2.3N.3N.N.N27.N3.N2.3N.N.N$4.N2.N.N.N.N.N.N27.N3.N2.N.N.N.N$3.3N.3N.N .N.2N27.3N.3N.N.N.2N3$.19N25.12N$.N17.N25.N10.N$79.2C$ED15.RSR24.SR9. ED22.C3.2C$D2E14.2R2S23.R2S8.D2E17.2C4.C2.C$2E2D14.2S2R11.2C9.2S2R7. 2E2D11.2C2.B2CB2.4C$.4D14.4R9.2B2C9.4R7.4D4.C.2C.C.C2.3B2.B$2.4D14.4R 7.2BCB11.4R7.4D3.2C.C.C5.B.2B.2C$3.4D14.4R5.4B13.4R7.4D6.2CB2.7BC.C6. 2C$4.4D14.4R3.4B15.4R7.4D5.2B2.8B.2C5.2B2C$5.4D14.4R.4B17.4R7.4D5.11B 7.2BCB$6.4D10.C3.4R3B19.4R7.4D3.10B8.4B$7.4D7.3C4.4RB21.4R7.4D.11B7. 4B$8.4D5.C7.B4R22.4R7.3D12B6.4B$9.4D4.2C5.3B4R22.4R7.2D14B3.4B$10.2D 7B4.4B.4R22.4R7.D7B2C6B.4B$11.6B5.4B3.4R22.4R7.6BC2BC9B$11.8B2.4B5.4R 22.4R7.6B2C9B$9.15B7.2RSR22.4R7.16B$9.14B9.2R2S22.4R7.2B.6B2.4B$9.13B 11.2S24.4R5.2B2.5B4.B.B2C$7.2CB.10B39.4R3.B2CB2.3BC2B4.BC.C$6.C.CB3.B 2C3B42.4R3.2C5.CBC4B4.C$6.C6.B2C3B43.4R10.C.C.2C4.2C$5.2C6.4B46.4R7.C .C.CBCBC$14.3B47.4R6.2C.C4.C$15.2B.BC45.4R8.C.3C$14.B2CBC.C45.4R7.C.C $13.BCBCBC.C46.4R7.C$11.C2.C.C.C.C.2C44.4R$11.4C.2C2.C2.C45.2RSR$15.C 4.2C48.2R2S$13.C.C55.2S$13.2C! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ WIDTH 480 HEIGHT 360 ZOOM 6 ]] Snark64 has an input clearance of 11hd (click above to open LifeViewer)

x = 36, y = 34, rule = TripleLife 22.2B$22.B3.2B$18.2B4.B2.B$F12.2B3.2B3.4B$.2F4.B.2B.B.B19.2B$2F5.2B.B .B10.2B8.B.B$11.2B10.B.B9.B$24.2B2$29.2D$30.2D$20.D8.D$18.3D$16.BF$ 15.B.DF$16.2B3$27.2B$11.2B6.B7.B.B$11.2B5.B.B8.B$7.2D10.B.B.2B4.2B$6. D.D5.2D.B.B.B.B.B$6.D7.2D.2B.B4.B$5.2D13.B.3B$20.B.B$19.D.B$15.2D.D.D $14.D.D.D.D$11.D2.D.D.D.D.2D$11.4D.2D2.D2.D$15.D4.2D$13.D.D$13.2D! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ WIDTH 480 HEIGHT 360 ZOOM 6 ]] Glider position on the right is after 120 gens (click above to open LifeViewer)

Once again, there wasn't an immediate update — it wasn't until May 16, 2024 when Entity Valkyrie constructed another period-331 cyclotron gun, once again substantially smaller than the previous. This cyclotron has no block rephasers, only three kinds of reflectors — Snarks, Bandersnatches, and Snark64s.

x = 189, y = 143, rule = B3/S23 74b2o3bo55b2o$72b3obobobo53bobo$71bo4bobobo47b2o4bo$71bobobobobo46bo2b o2b2ob4o$66b2o4b2obobo48b2obobobobo2bo$67bo8bobo5b2o43bobobobo$67bobo 7bo6b2o43bobob2o$68b2o60bo2$143b2o$79b2o53b2o7bo$78bo2bo52b2o5bobo$79b 2o60b2o6$71b2o$71bobo10b2o45b2o$72b2o10bobob2o42bo$82bobob2obo39b3o$ 70b4o3b2o3b2o45bo$43bo25bo2bo4b2o$43b3o24bo3bo$46bo24b3obo$45b2o7bobo 16bobo$54b2o18bo$55bo13b2o$37b2o30bobo$37bo31bo$34b2obo$34bo2b3o4b2o$ 35b2o3bo3b2o$23b2o12b4o$23bobo11bo15b2o$25bo4b2o6b3o12bobo$21b4ob2o2bo 2bo7bo13bo80b2o3b2o$21bo2bobobobob2o2b5o14b2o79b2o2bob3o$24bobobobo5bo 88bo14bo4bo$25b2obobo7bo84b3o10b4ob2o2bo$29bo7b2o61bo21bo13bo2bobobob 2o$100bobo3bo15b2o15bobobobo$15b2o83b2o3bobo32b2obobo$16bo7b2o78bo2bo 2b2o14b2o16bo$16bobo5b2o78bob2obobo13bo2bo2b2o$17b2o30bo53b2o2bob2o14b 2obo2bo$47b3o52bo2bo22b2obo7b2o$46bo56b2o20b2o4bobo5b2o$46b2o76bo2b4ob 2o$106b2o15bob2o3bo$106b2o10bo5bo2b2obo$117bobo6bo2bo54b2o$27b2o88bobo 7b2o55bo$27bo90bo67bo$28b3o76b2o57b2o14b5o$30bo76bo34b2o20bo2bo13bo$3b 2o103b3o12b2o17bo21b2obobo12b3o$4bo105bo12b2o18b3o20bob2o15bo$2bo29b2o 74b2o35bo20bo15b4o$2b5o14b2o9b2o74bo55b3o10b2o3bo3b2o$7bo13bo87bo53bo 7b2o4b2o4b3o2bo$4b3o12bobo86b2o53b2o7b2o11bob2o$3bo15b2o33b2o115bo13bo $3b4o36b2o9b2o128b2o$b2o3bo3b2o30bo2bo$o2b3o4b2o31bobo$2obo40bo15bo 115b2o$3bo56b3o113bo$3b2o58bo4bobo61b2o19b2o22b3o$62b2o5b2o34b3o24bobo 17bobo5b2o17bo$31bob2o34bo37bo26bo4b2o11bo7b2o$11b2o16b3ob2o13b2o56bo 23b4ob2o2bo2bo8b2o$12bo15bo19b2o4b2o74bo2bobobobob2o$9b3o17b3ob2o6b2o 11bo78bobobobo25bo$9bo21bobo7b2o8b2obo79b2obobo21b2obobo$31bobo17bo2b 3o4b2o75bo21bobobobo$32bo19b2o3bo3b2o94bo2bobobobob2o$54b4o66b2o31b4ob 2o2bo2bo$54bo15b2o53bo7b2o26bo4b2o$55b3o12bobo52bobo5b2o24bobo$58bo13b o53b2o31b2o$53b5o14b2o$53bo$33b3o10b2o7bo$33bo12bo7b2o$34bo13bo$28b2o 14b5o$29bo13bo92b2o$29bobo12b3o89bo10bo$30b2o15bo89b3o8bo$44b4o91bo6b 3o$39b2o3bo3b2o114bo$39b2o4b3o2bo111b3o$47bob2o110bo$47bo113b2o$46b2o$ 103b2o$103b2o64b2o$38b2o21bo32bo75bo$14b2o22bo21bobo28b3o76bob2o$15bo 23b3o9b2o7bobo24b2obo71b2o4b3o2bo$13bo27bo9b2o6b2ob3o22bo4bo69b2o3bo3b 2o$13b5o14b2o10b2o19bo22b3o76b4o$18bo13bo11b2o13b2ob3o88b2o15bo$15b3o 12bobo26b2obo89bobo12b3o$14bo15b2o120bo13bo$14b4o133b2o14b5o$12b2o3bo 3b2o148bo$11bo2b3o4b2o26bo119bo$11b2obo33bobo79b2o37b2o$14bo33bo2bo74b 2o3bo$14b2o22b2o9b2o75bo2bo4b2o$38b2o42bo44b4o3b2o3b2o$80b2o57bobob2ob o$22b2o57b2o46b2o10bobob2o$23bo36b2o9b2o55bobo10b2o$20b3o37b2o10bo19bo 35b2o$20bo48b3o18b3o$69bo19bo$63bo25b2o$63b3o$66bo$65b2o69b2o$135bo2bo $136b2o2$46b2o31b2o$47bo30bobo5b2o37b2o$44b3o31bo7b2o36bobo7bo6b2o$44b o30b2obo45bo8bobo5b2o$68b2o5bobob2o42b2o4b2obobo$68b2o7bo2bo10bo36bobo bobobo$77b2o8b2obobo35bo4bob2o$86bobobobo36b3obo$64bo18bo2bobobobob2o 35bobo$63bobob2o14b4ob2o2bo2bo36bo$63bobobobo17bo4b2o$60b2obobobobo2bo 12bobo$60bo2bo2b2ob4o12b2o$62b2o4bo$68bobo$69b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ WIDTH 800 HEIGHT 640 ZOOM 4 AUTOSTART LOOP 331 ]] May 16, 2024 p331 cyclotron gun 2 189×143; pop 1099 (click above to open LifeViewer)

x = 189, y = 157, rule = 12ColorMarkedLife 25.4X$26.4X$27.4X$28.4X$29.4X$30.4X$31.4X$32.4X$33.4X$34.4X$35.4X$36. 4X$37.4X$38.4X$39.4X31.2O3.O55.2E$40.4X28.3O.O.O.O53.E.E$41.4X26.O4.O .O.O47.2E4.E$42.4X25.ONONO.O.O46.E2.E2.2E.4E$43.4X19.2O4.2O.O.O48.2E. E.E.E.E2.E$44.4X19.O4.4NONO5.2O43.E.EDEDED$45.4X18.O.ON4.2NO3N2.N2ON 42.E.ED2ED$46.4X18.2ON.N4.5N2.2N44.ED.2D$47.4X19.4N2.6N.2N48.3D$48.4X 18.16N47.4D6.2E$49.4X17.9N2O6N44.3D2ED6.E$50.4X15.9NO2NO6N43.3D2ED3.D E.E$51.4X13.4N.6N2O8N40.10D.D2E$52.4X11.4N3.16N38.13D$53.4X9.4N6.15N 36.14D$54.4X7.4N7.11N.4N34.15D$55.4X5.4N8.10N3.4N32.4D2.8D$56.4X3.4N 7.11N5.4N30.4D5.6D$57.4X.4N5.2O.8N2.2N5.4N28.4D4.9D$58.4X3N6.O.O7N2.N 2O6.4N26.4D5.2E4.4D$59.3X2N8.2O.2N.N5.O.O.2O3.4N24.4D7.E5.4D$59.3N2X 10.N2.3N2.O.O.2O.O4.4N22.4D5.3E7.4D$58.4N3X5.4O2.N2ON2.2O11.4N20.4D6. E10.4D$43.O13.4N.4X3.O2.O4.2O17.4N18.4D19.4D$43.3O10.4N3.4X3.O3.O22. 4N16.4D21.4D$46.O8.4N5.4X3.3O.O22.4N14.4D23.4D$45.2O7.ONON7.4X4.O.O 23.4N12.4D25.4D$45.5N3.N2ON9.4X4.O25.4N10.4D27.4D$47.3N2.3NO11.2X2pA 30.4N8.4D29.4D$37.2O7.9N13.XpAXpA30.4N6.4D31.4D$37.O8.8N15.pA3X30.4N 4.4D33.4D$34.2O.O.N3.10N17.4X30.4N2.4D35.4D$34.O2.3ON.2N2O7N18.4X30. 4N4D37.4D$35.2O2.NO3N2O7N19.4X30.3N3D39.4D$23.2K12.4O12N20.4X30.2D2N 41.4D$23.K.K11.O.2N3.7N.N2O19.4X28.3D3N41.4D$25.K4.2K6.3ON2.7N.NO.O 19.4X26.4D4N41.4D$21.4K.2K2.K2.K7.O4.4N5.O20.4X24.4D2.4N22.2E3.2E12. 4D$21.K2.K.K.K.K.2K2.5O5.4N5.2O20.4X22.4D4.4N21.2E2.E.3E11.4D$23.JKJK JK.K5.O10.4N27.4X20.4D6.4N9.O14.E4.E11.4D$24.J2KJK.K7.O9.4N27.4X18.4D 8.4N6.3O10.4E.2E2.E12.4D$25.2J.JK7.2O10.4N27.4X16.E3D10.4N4.O13.E2.E. E.E.2E12.4D$24.3J23.4N27.4X14.DEDE3.O8.4N3.2O14.DEDEDE.E14.4D$15.2K6. 4J24.4N27.4X12.2D2E3.O.O8.8N15.D2EDE.E15.4D$16.K6.J2K3J23.4N27.4X10. 4D3.O2.O2.2O5.5N4.2O12.2D.DE17.4D$16.K.KJ3.J2K3J24.4N27.4X8.4D4.O.2O. O.O6.5N.NON.O2.2E6.3D21.4D$17.2KJ.10J18.K4.4N27.4X6.4D4.2O2.O.2O6.5N 2.N2O.O2.E6.4D22.4D$19.13J15.3K5.4N27.4X4.4D4.O2.O2.N.3N3.5N3.N.N.2O. E6.D2E3D21.4D$19.14J13.K9.4N27.4X2.4D6.2O4.4N3.5N2.2N2O4.E.ED3.D2E3D 22.4D$19.15J11.J2K9.4N27.4X4D11.N.13N.NO2.4O.2ED.10D21.4D$21.8J2.4J8. 5J10.4N27.3X3D11.2ON.13NON2O3.O3.13D21.4D$21.6J5.4J7.3J3.3J7.4N27.2D 2X12.2O10NO5NO2.2O.O3.14D21.4D$20.9J4.4J3.6J2.4J8.4N25.3D3X12.2N.7NON O4N2.O2.O4.15D21.4D10.2E$19.4J4.2K5.4J.15J7.4N23.4D4X14.7NONO4N3.2O7. 8D2.4D21.4D9.E$18.4J5.K7.21J6.4N21.4D2.4X14.7NO4N13.6D5.4D21.4D10.E$ 17.4J7.3K4.13J.8J6.4N19.4D4.4X9.2O3.9N14.9D4.4D14.2E5.4D5.5E$16.4J10. 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E$25.4J3.K19.2E2.DE3D2E7D5.4J6.4N9.22B13.3R21.E2.E.E.E.E.2E$26.4J24. 4E12D6.4J6.4N7.3N20B4.2S6.4R21.4E.2E2.E2.E$27.4J23.E.2D3.7D.D2E5.4J6. 4N5.4N.20B4.S6.R2S3R23.E4.2E$28.4J23.3ED2.7D.DE.E5.4J6.4N3.4N3.20B3.S .SR3.R2S3R21.E.E$29.4J25.E4.4D5.E6.4J6.4N.4N2.21B5.2SR.10R19.2E$30.4J 19.5E5.4D5.2E6.2J3B5.7N3.21B7.13R$31.4J18.E10.4D13.6B4.5N4.19B9.14R$ 32.J3K10.2K7.E9.4D11.8B3.5N5.17B10.15R$33.K3J9.K7.2E10.4D10.8B2.7N3. 18B12.8R2.4R$34.K3J10.K18.4D6.2B.8B.2B2N.2N22B12.6R5.4R$28.2K5.4J5.5K 19.4D4.17B2.22B12.9R4.4R$29.K5.4J4.K25.4D3.41B11.4R4.2S5.4R$29.K.KJ. 7J2.J3K23.4D.40B12.4R5.S7.3RS$30.2KJ.7J3.2J.K23.4D39B12.4R7.3S5.3RS$ 32.12J4K24.3D39B11.4R10.S6.3SR$32.7J2K3JKJ2.2K23.2D39B10.4R19.4R13.S$ 32.7J2K2J.J3K2.K23.13B2.3B.21B9.4R21.4R10.3S$32.10J3.J.K.2K24.12B5. 14B2.6B8.4R23.4R8.S$31.8J8.K28.11B4.24B6.4R25.4R7.2S$30.9J7.2K24.2B2. 11B.26B6.4R27.4R3.5R$29.4J2.3J33.32B2C9B5.4R29.4R2.3R$28.4J3.5J31.32B 2C9B4.4R31.9R7.2S$27.4J7.2K21.K10.22BC19B3.4R33.8R8.S$14.2K10.4J8.K 21.K.K9.19B3C19B3.4R35.10R3.R.S.2S$15.K9.4J10.3K9.2K7.K.K9.15B2CBC6B 2.2B2.9B3.4R36.7R2S2R.R3S2.S$13.K10.4J13.K8.J2KJ5.2K.3K7.15BC4BC3B8. 4R6.4R37.7R2S3RSR2.2S$13.5K5.4J5.2K10.2K5.3J6.J4.K6.16B3C4B10.4R4.4R 38.12R4S$18.K4.4J5.K10.J2KJ2.J2.J5.J2KJ3K8.21B12.4R2.4R37.2SR.7R3.2R. 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The 4G-to-6G reaction is in gray. Note how the green path is separated from the red with a Snark64. The blue path is drastically simpler as a result. (click above to open LifeViewer)