The pairs of switch engines showed up in Catagolue recently, Hartmut Holzwart pointed them out, and dani completed the Cordership:
Code: Select all
x = 456, y = 256, rule = B3/S23
29b3o197b3o$30bo199bo$30bo2bo196bo2bo$30bo2bo196bo2bo$31bobo197bobo$
46b2o198b2o$46b2o198b2o3$30bo199bo$29bobo197bobo$30bo199bo$47bo199bo$
47bo6b2o191bo6b2o$28b4o22b2o172b4o22b2o$28b2o3bo13bo180b2o3bo13bo$29bo
4bo11bobo180bo4bo11bobo$31bob2o11bo184bob2o11bo$32bo15b2o182bo15b2o$
49bo199bo$46b3o197b3o$47b2o13b2o183b2o13b2o$44bo17b2o180bo17b2o$44b2o
198b2o$44b2o198b2o$34b2o6b2o7b2o181b2o6b2o7b2o$34b2o4b2o9b2o181b2o4b2o
9b2o$40b2obo196b2obo$14b2o26b2o170b2o26b2o$o9bo3b3o53b2o128bo9bo3b3o
53b2o$4o5bobo2bo55b2o128b4o5bobo2bo55b2o$o3bo5bo3bo2bo182bo3bo5bo3bo2b
o$18bo35b2o2bo159bo$2b3o10bobo39bobo142b3o10bobo$16b2o7b2o29bo16bo142b
2o7b2o$25b2o13b2o31bo151b2o13b2o$40b2o16b2o13bo166b2o$78b2o198b2o$59b
2o12b2o3b2o198b2o$58bo13bo2bo$26b2o7b2o19b2ob2o11bobo151b2o7b2o$26b2o
7b2o22b2o10b2o153b2o7b2o$25bo2bo28bo13bo153bo2bo$25bob2o45b2o9b3o137bo
b2o$22b3o49b2o12bo133b3o$23b2o49b2o9bo3bo133b2o61b2o$5b2o9b2o2bo50b2ob
o3b2o7bo2bo114b2o9b2o2bo65b2o$5b2o5b2obo4b2o50b3o3b2o7bobo115b2o5b2obo
4b2o$16bobob2o51bo14bo2bo124bobob2o$18b2o71bo126b2o$87b2o2bo$25b2o60bo
bo135b2o$25b2o34b2o162b2o$61b2o14b3o214b2o$13b2o17bo46bo133b2o79b2o$
13b2o17bo46bo133b2o$34bo5bo34bob2o$33bo6bobo31b2o$32bo3bo2bo60b2o$33bo
2bobob2o57bobo$38bob2o27b2o29bo$52b2o15b2o231b2o$21b2o29b2o27b3o137b2o
79b2o$21b2o198b2o$94bo$92b2ob2o2$95b2o199b3o$96bo15bo184bo$60b2o28bo3b
o16bobo183bo2bo9b2o$29b2o29b2o32bo3bo13b2o115b2o66bo2bo9b2o$29b2o10b2o
3bo182b2o67bobo$39b3o4b2o$34b3obo8b2o43bo$38bobo2b5o9bo35b3o$39bo3b3o
10b2o$111bo8bo176bo$53bo2bo36b3o13bobo7bobo174bobo15b3o3bo$37b2o7b2o5b
o2bo36b3o13bobo8b2o115b2o58bo15bo3bo2bo$37b2o7b2o5b3o37b2ob2o12bo126b
2o74bo3bo2bo$97bo12b2o202b3o$62bo32b3o14bo182b4o$62bo47b2o183b2o3bo$
62bo46bobo184bo4bo$109bobo16bo169bob2o$43bobo65bo15bobo169bo$43bo63bob
o18b2o115b2o$43bo2b2o2b2o55bo137b2o68bobo$44bo3bobo55bobo206bobo$45bob
o3bo46b2o6b2o7b2o197bo2b2o$46bo22bo28b2o5bo9b2o196b3ob3o$48b3o55b2o
204bo5bo$65bo7bo33bo28bo164b2o15bo13bo$65bo8bo2b3o55bobo163b2o8b3obo3b
o6b2o4b2o$64bo4b2o3bo2b3o56b2o115b2o58bo3bo2bo10bob2o$65bobo6bo2b2o2bo
37b2o132b2o26b2o28bo7bo5bo2bobo2bo$65bob2o10bobo37b3o145bo9bo3b3o28bo
3b3o7bo5bo$79b3o37b2obo144b4o5bobo2bo31bobo9bo$70bo18b2o32bo13bo129bo
3bo5bo3bo2bo28bobo10bo13b2o$59bo29b2o13b2o9bo3b2o3bo12bo147bo28bo12bo
11bobo$58bobo43b2o19bo11bo131b3o10bobo24b2o29bo$58b2o62bobo158b2o7b2o
15b2o11bo$122bo138b2o29b2o28bo$117bo4bobo13bo122b2o59bo$99b2o35b2ob2o$
90bo8b2o20b4o$88b2obo29b2o12bobo210b2o$86b2obob2o42bo3bo207bobo$88bo
46b2o2bo208bo$77b2o4b2obo49b3o161b2o$79b2obo54bo131b2o29b2o$69bo6b3obo
b4o183b2o22bobo$68bobo10bo209bobo2bo$69b2o207b2o10bo2b2o2b2o$277bo2bo
8b2o8bo56b2o$89b2o8bo177bo2bo6b2obo2bo3b2o56bobo$89b2o34b2o15b2o133bo
2bo15bo59bo$103bo21b2o15b2o134b2o7b4o3bobo$289b4o3bo$77bo17b3obo190bo
2bobo$76bobo16b3obo177b3o14bo$77b2o17bo8b2o36b2o$97bo3b3ob2o33b2ob2o
156b3o60b2o$98bo6bo37b2o218bobo$99bobobobo36bo221bo$100bo15b2o20bobo
154bobo$116b2o13b2o5bobo152bo2bobo$85bo45b2o6bo153bo5bo$84bobo54b2o
152bo$85b2o48bo5b2o$136bo158bo76b2o$126b2o6bo2bo156bo76bobo$126b2o8bo
155b2o2bo75bo$293b3o$131bo162bo$93bo12b3o20bo$92bobo9bo3b2o20bobo232b
3o$93b2o3b3o3bobo2b2o20bo234bo$103bo5bo15b2o239bo2bo$104bo2b2o18bo171b
o66bo2bo$104bo17bo2b2o171bobo66bobo14bo$122bo5b2o168b2o83bobo$116b2o6b
o3b2o254b2o$116b2o3b3o$121b3o$366bo$365bobo$307bo58bo$306bobo74bo8bo$
306b2o75bo7bobo$364b4o24b2o$364b2o3bo13bo$365bo4bo11bobo$367bob2o11bo$
368bo15b2o$315bo69bo$314bobo65b3o15bo$314b2o67b2o14bobo$380bo19b2o$
380b2o$380b2o$370b2o6b2o7b2o$370b2o4b2o9b2o$323bo52b2obo$322bobo25b2o
26b2o28bo$322b2o12bo9bo3b3o54bobo$336b4o5bobo2bo57b2o$336bo3bo5bo3bo2b
o$354bo$338b3o10bobo$352b2o7b2o$331bo29b2o13b2o$330bobo43b2o38bo$330b
2o83bobo$416b2o2$362b2o7b2o$362b2o7b2o$361bo2bo$361bob2o$358b3o63bo$
359b2o62bobo$352b2o2bo67b2o$341bo6b2obo4b2o$340bobo9bobob2o$341b2o11b
2o2$361b2o$361b2o69bo$431bobo$432b2o$349bo$348bobo$349b2o3$440bo$439bo
bo$440b2o$357bo$356bobo$357b2o2$432b3o$433bo14b2o$433bo2bo12bo$433bo2b
o9bo$365bo68bobo9bo2bo$364bobo80b2o$365b2o3$433bo$432bobo$433bo$373bo
76bo$372bobo75bo$373b2o56b4o$431b2o3bo13bo$432bo4bo11bobo$434bob2o11bo
$435bo15b2o$452bo$381bo67b3o$380bobo67b2o$381b2o64bo$447b2o$447b2o$
437b2o6b2o7b2o$437b2o4b2o9b2o$443b2obo$389bo27b2o26b2o$388bobo12bo9bo
3b3o$389b2o12b4o5bobo2bo$403bo3bo5bo3bo2bo$421bo$405b3o10bobo$419b2o7b
2o$428b2o13b2o$397bo45b2o$396bobo$397b2o2$429b2o7b2o$429b2o7b2o$428bo
2bo$406b2o20bob2o$408bo16b3o$404bo3bo17b2o$404b2obo11b2o2bo$415b2obo4b
2o$419bobob2o$421b2o2$428b2o$428b2o!
This seems similar to Michael Simkin's extensible 4-engine Cordership, in that the second half can be constructed in a timing-independent way with the same recipe as the first half. It needs twice as many engines in all, of course, but the symmetrical arrangement seems to be new and different.
Here's a 2G seed for the two-engine block puffer. How much simpler can this be made?
Code: Select all
x = 51, y = 51, rule = B3/S23
25bo4bo$24bobo2bobo$25b2o3b2o2$19b2o24b2o$18bobo24b2o$19bo10$25b2o15b
2o$25b2o15b2o$5bo$4bobo$4b2o4$bo$obo13b2o$b2o13b2o13b2o$31b2o2$bo$obo$
b2o23b2o$26b2o20b2o$48bobo$48bo8$16b2o$16b2o2$4b2o$4b2o2$32b3o$32bo$
33bo!
Code: Select all
x = 382, y = 382, rule = LifeSuper
379.M$379.M.M$379.2M31$252.pA$252.pA.pA$252.2pA16$250.pA$250.pA.pA$
250.2pA41$117.Q.Q161.S$118.2Q161.S.S$118.Q162.2S50.M$332.M$332.3M5$
136.Q$134.3Q$133.Q$133.2Q3$134.2Q$133.Q.Q$134.Q17.2Q$83.Q68.2Q$81.Q.Q
$82.2Q5$160.2Q$160.2Q3$132.2Q15.2Q$132.2Q15.2Q6$106.2Q$106.Q.Q$108.Q
14.2Q$108.2Q13.2Q13.2Q28.pA$138.2Q27.pA.pA$166.pA.pA$107.2Q49.2pA6.2pA
$107.Q.Q47.pA2.pA$109.Q23.2Q23.pA.pA$109.2Q22.2Q24.pA9$190.2pA$123.2Q
64.pA.pA$123.2Q34.2pA12.2pA15.pA$159.2pA12.2pA$111.2Q$111.2Q3$198.2pA
$197.pA.pA$198.pA$150.2pA$119.2Q15.2pA12.2pA$119.2Q15.pA$134.pA.pA$
134.2pA3$135.2pA$135.pA.pA$136.pA2$205.S$204.S.S$203.S.S$150.2pA43.2S
6.2S$114.2pA34.2pA42.S2.S20.S$115.2pA78.S.S19.S.S$114.pA81.S21.2S6$
226.S$225.S.S$226.2S3$196.2S15.2S$196.2S15.2S$149.pA$148.pA.pA$148.2pA
5$187.2S$157.pA15.2S12.2S13.2S28.M$156.pA.pA14.S28.2S27.M.M$156.2pA
13.S.S56.M.M$171.2S49.2M6.2M$221.M2.M$197.2S23.M.M$172.2S23.2S24.M$
172.S.S$173.S5$87.2pA$86.pA.pA62.2S$88.pA63.2S$151.S35.2S$187.2S34.2M
15.2M$223.2M15.2M2$175.S$174.S.S$175.2S4$214.2M$200.2M12.2M13.2M$183.
S16.M28.2M$182.S.S13.M.M$183.2S13.2M2$224.2M$199.2M23.2M$199.M.M$200.
M8$214.2M$214.2M6$124.2S$123.S.S$125.S$51.3pA$53.pA$33.3pA16.pA$35.pA
$34.pA8$154.2M$155.2M$154.M17$94.3S$96.S$95.S15$127.2M$126.M.M$128.M
32$97.2M$96.M.M$98.M45$3M$2.M$.M!
This pattern contains the other four 2-object switch-engine seeds from the old octohash database, besides the standard two-boat one shown in the previous pattern.
It just occurred to me that I hadn't looked for switch engines in the new octo3obj database yet. So while we're on the subject, here are the results from that search, including the World's Least Expected Switch Engine in the middle of the last line:
Code: Select all
x = 272, y = 122, rule = LifeHistory
268.CB$267.BC.C$265.3B2C$265.6B$115.B149.2BC3B$114.2DB46.2CB98.2BCBC
3B$114.3B45.B2C4B95.2BC.C2B$113.5B43.7B2C93.4BC2B$61.B51.5B42.3B2C3B
2C41.B48.2CB2C4B$11.C48.BDB48.D6B41.2BDB2C5B40.BDB47.2CB2CB$11.4C45.B
4D45.B4D3B40.3B4D3B2CB39.B4D45.B4D$11.C3.C43.2CD2CBD45.D3BD4B37.4BD3B
D2B2CB38.2CD2CBD45.D3BD$59.2CB2C2B46.8B37.13B39.2CB2C2B47.2CB$13.3C
44.3B3D46.B2CD5B34.7B2C2D.B42.3B3D47.2CD$59.5B48.2B2CB2C2B33.4B2C2B2C
B39.B.8B$56.3B2C2B50.C3B2C3B32.5B2C4B38.2B2C3B2CB$54.5B2C2B49.9B34.3B
C4B39.3B2C2BC2.C$52.11B50.8B38.4B38.8B.2C$51.13B50.3B2C3B37.3B40.3B2C
2B$52.4B2CBD2CB2C50.2B2C2B2C79.3B2C2B$54.3B2CD2CB2C51.5B2C78.3C4B$54.
2BC4B2.B53.5B79.B.C3B$59.2B57.3B81.C$120.2C$120.2C23$4.2B$2.6B$2.BD4B
.5B$2.BD2B2C4B2C2B$.5B2CD2BC2BC2BC$6BD3BDB2C2BC.B141.2B$3D2BD2C2BD5B
3C136.8B$BDBDBD2C10B39.4B47.2C43.12B$.2D5BD6B42.2C2B47.2C2.2C38.13B$
3.BD2BD8B41.B2C.2B.B43.4B2C39.12B$4.B2D5B2C2B41.C3B2CB2C42.6B39.11BC
2B$4.4B2.BC2BC2B41.3B2CB2CB40.2C5B39.2BC2B3C2BCBC2B38.2C.B.2C.2C45.B$
11.D2C4B40.3BD6B38.B2C2BD4B36.3B2C4BDBCBC2B38.2C3B2CB2C2B42.BDB$11.4D
2B41.3B4D4B38.4B4DB36.2BCBC4B3DC2B40.B.2B4D3B42.B4D$11.D3BDB41.3BD3BD
3B38.2C2BD3BDB36.8BD3BD43.2BD3BD3B40.2CD2CBD$13.3B43.9B38.B2C8B36.7B
2C5B42.9B41.2CB2C2B$13.3D43.4BD2C2B36.2B.4B2CD2C38.6B2CBD2CB42.4B3CB
43.3B3D$60.4B2C38.2BC4B2CB2C40.8B2CB41.9B37.C4.5B$58.8B38.B2C8B42.9B
42.3B2C3B37.BCB.3B2CB$57.2CB2C42.BCBC4B46.6B44.2BCBC2B39.C.3BC2.C$57.
2CB2C47.3B48.B.B47.2BC42.4B.2C$58.B50.2B143.B3CB$255.C.B$256.C20$168.
2B$167.4B$161.4B2.6B$161.12B$160.13B$155.B2.15B$154.3B.16B$154.3B2.
15B$153.5B.14B$153.21B$152.22B$144.3B.B3.23B33.B$144.31B30.D4B$113.2B
28.33B27.D3BD4B$13.2BC2B94.2BCB26.34B27.4D6B$13.2BC3B93.2BC2B20.B4.
33B28.B3DB2C4B$13.2BC4B92.2BC4B16.5B2.32B30.2C2B2C4B$10.10B42.CB48.6B
2C14.6B2.2BC29B30.B2C7B$9.7B3C42.BC2B47.5BCB.C12.11BC29B30.C6B2C3B45.
B$7.BC2BDBC2BC2B42.DCB.BCB43.D6B2CB12.2B2CB2C4BC16BD11B32.2B3.B2C3B
44.BDB$7.BC2B2DCD2BC43.4DBCBC42.4D7B11.2B2CB2C21B4D8B37.B4DB44.B4D$8.
CB.DBCBDB44.D3BD2CB42.D3BD4B2C12.13BC7B3.3BD3BDB.5B38.2C2BD43.2CD2CBD
$11.5B46.2C5B44.2B2C3BC.C11.8B2CB2C7B7.5B4.B40.2C3B43.2CB2C2B$12.B3D
46.2C2D2BCB43.DCDBCB.CB14.2B2C2B2C2B2C5B9.B3D47.3D44.3B3D$13.2B49.4BC
B45.2C18.3B2C12B11.2B49.3C42.5B$68.C66.16B64.B39.BC3B2CB$135.15B104.C
BC2BC2.C$135.14B105.B2C2B.2C$136.14B104.4B$138.B5.5B104.BC3B$253.BC2B
$254.C!