Re: Thread for basic questions
Posted: December 14th, 2022, 9:03 pm
Can a sawtooth be made entirely up of switch engines?
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Interesting question! ... Probably?AlbertArmStain wrote: ↑December 14th, 2022, 9:03 pmCan a sawtooth be made entirely up of switch engines?
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#C A moving sawtooth using two diagonal period 96 Cordership backrakes
#C receding symmetrically from each other while shooting each other.
#C This is shown at the minimum repeating population of 974.
#C David I. Bell, 24 November 2017
x = 253, y = 230
138b3o$137bo3bo$136bo3boo$137bo$138b4o$140boboo$140bobbo$141boo12boo$
155boo3$140bo$140bo$139bobo$140bo$140boo21boo$140b3o20boo$$138bo4boo$
138bo5bo$138bo5bo$143bo$132bo$131b3o$130boobbo$129boobboo$130boo$131b
5o$135boo$133bobbo$134boo5$132b3o$132bobo$132bo$132bobbo$133bobo$132b
oobbo$134bobo$130bobboobbo$131bobbobbo$135bobo$$119bo$119b4o5booboo3bo
6boo$119bo3bo5boboobboo6boo$130booboobbo$121b3o10bobo$135boo4$151boo$
151boo$145boo$145boo$144bobbo$113bo27bobboboo$113bo26bobbo$113bo27bobo
$116boo$116boo$111bo3b3o118boo$112b3o121boo$113bo$89b3o20boo$112b3o$
93bo20bo$89bo3boo12bo4bo111boo$91bobo13boo5bo$88b3o16bobobb3o129boo$
90bo153boo$106boo$89boo16boo$90boo14bobbo86boo$90bo15b3o87boo25bobo$
90boo$89boo132bobo$$192boo$192bobo$194boo$193bo10boo27bo$105boo84bobo
10boo26b3o11boo$104b3o83boo39boobbo9bobbo$104bobbo82b3o38b6obobo4bo4b
oo$105b3o124b3obbobbo5b3oboo$94boo9b3o124boo4bobo7bo3bo$94boo137boo14b
3o$126bo75bobo3boo39b3o$126bobo72bobbo3booboo10boo$126boo73bobbo4boobb
o8bobo$202boo6bobboobo5bobboboo$68b3o140bob3oboo4b3obobo$67bo136bo4bo
6bo8bo3bo$66bo4boo29boo100boo3bobo13bo3bo$65bo3bo15b3o14boo99bo6bo15bo
bo$65bobbo4bo4boo124bobo20bo$65bo3bo3bo4b3obo77bo44bo$66boobob3o84boo$
69bo89boo$70b4o20boo49boo35bo$72boo11boboo5boo48bobbo$85bobbo56boo56b
oo$85b3o114b3o$141bo61boo$140bobo62bo$140bobo28bo33bo$66bo74bo28bobo
32bo$61bobbobobbo3bo28boo67bo3bo12bo$61bo4boob5o28boo17b3o51bo11b3o$
61bo3bo4bobo102bo$77bo102bobo4bo3bo$63b3o11bo51b3o17boo28b5oboo4bo$64b
o12bo3bo67boo28bo3bobbobobbo$47bo32bobo28bo74bo$47bo33bo28bobo$47bo62b
obo$48boo61bo$48b3o114b3o$48boo56boo56bobbo$105bobbo48boo5boobo11boo$
70bo35boo49boo20b4o$92boo89bo$93boo84b3oboboo$47bo44bo77bob3o4bo3bo3bo
$25bo20bobo124boo4bo4bobbo$24bobo15bo6bo99boo14b3o15bo3bo$23bo3bo13bob
o3boo100boo29boo4bo$23bo3bo8bo6bo4bo136bo$23bobob3o4boob3obo140b3o$24b
oobobbo5boboobbo6boo$28bobo8bobboo4bobbo73boo$28boo10booboo3bobbo72bob
o$b3o39boo3bobo75bo$b3o14boo137boo$o3bo7bobo4boo124b3o9boo$boob3o5bobb
obb3o124b3o$boo4bo4bobob6o38b3o82bobbo$4bobbo9bobboo39boo83b3o$5boo11b
3o26boo10bobo84boo$19bo27boo10bo$57boo$58bobo$59boo$$27bobo132boo$161b
oo$27bobo25boo87b3o15bo$55boo86bobbo14boo$144boo16boo$145boo$7boo153bo
$7boo129b3obbobo16b3o$138bo5boo13bobo$27boo111bo4bo12boo3bo$138bo20bo$
138b3o$139boo20b3o$139bo$15boo121b3o$15boo118b3o3bo$135boo$135boo$109b
obo27bo$109bobbo26bo$105boobobbo27bo$105bobbo$106boo$106boo$100boo$
100boo4$116boo$116bobo10b3o$115bobbooboo$108boo6boobboobo5bo3bo$108boo
6bo3booboo5b4o$133bo$$115bobo$115bobbobbo$115bobboobbo$116bobo$116bobb
oo$117bobo$117bobbo$120bo$118bobo$118b3o5$117boo$116bobbo$116boo$117b
5o$121boo$118boobboo$118bobboo$119b3o$120bo$109bo$108bo5bo$108bo5bo$
108boo4bo$$88boo20b3o$88boo21boo$112bo$111bobo$112bo$112bo3$96boo$96b
oo12boo$109bobbo$109boobo$111b4o$115bo$111boo3bo$111bo3bo$112b3o!
I mean like BLSEs and GPSEsdbell wrote: ↑December 15th, 2022, 12:34 am> Can a sawtooth be made entirely up of switch engines?
Well, there is this one. which might be close to what you want.
BCNU,Code: Select all
#C A moving sawtooth using two diagonal period 96 Cordership backrakes #C receding symmetrically from each other while shooting each other. #C This is shown at the minimum repeating population of 974. #C David I. Bell, 24 November 2017 x = 253, y = 230 138b3o$137bo3bo$136bo3boo$137bo$138b4o$140boboo$140bobbo$141boo12boo$ 155boo3$140bo$140bo$139bobo$140bo$140boo21boo$140b3o20boo$$138bo4boo$ 138bo5bo$138bo5bo$143bo$132bo$131b3o$130boobbo$129boobboo$130boo$131b 5o$135boo$133bobbo$134boo5$132b3o$132bobo$132bo$132bobbo$133bobo$132b oobbo$134bobo$130bobboobbo$131bobbobbo$135bobo$$119bo$119b4o5booboo3bo 6boo$119bo3bo5boboobboo6boo$130booboobbo$121b3o10bobo$135boo4$151boo$ 151boo$145boo$145boo$144bobbo$113bo27bobboboo$113bo26bobbo$113bo27bobo $116boo$116boo$111bo3b3o118boo$112b3o121boo$113bo$89b3o20boo$112b3o$ 93bo20bo$89bo3boo12bo4bo111boo$91bobo13boo5bo$88b3o16bobobb3o129boo$ 90bo153boo$106boo$89boo16boo$90boo14bobbo86boo$90bo15b3o87boo25bobo$ 90boo$89boo132bobo$$192boo$192bobo$194boo$193bo10boo27bo$105boo84bobo 10boo26b3o11boo$104b3o83boo39boobbo9bobbo$104bobbo82b3o38b6obobo4bo4b oo$105b3o124b3obbobbo5b3oboo$94boo9b3o124boo4bobo7bo3bo$94boo137boo14b 3o$126bo75bobo3boo39b3o$126bobo72bobbo3booboo10boo$126boo73bobbo4boobb o8bobo$202boo6bobboobo5bobboboo$68b3o140bob3oboo4b3obobo$67bo136bo4bo 6bo8bo3bo$66bo4boo29boo100boo3bobo13bo3bo$65bo3bo15b3o14boo99bo6bo15bo bo$65bobbo4bo4boo124bobo20bo$65bo3bo3bo4b3obo77bo44bo$66boobob3o84boo$ 69bo89boo$70b4o20boo49boo35bo$72boo11boboo5boo48bobbo$85bobbo56boo56b oo$85b3o114b3o$141bo61boo$140bobo62bo$140bobo28bo33bo$66bo74bo28bobo 32bo$61bobbobobbo3bo28boo67bo3bo12bo$61bo4boob5o28boo17b3o51bo11b3o$ 61bo3bo4bobo102bo$77bo102bobo4bo3bo$63b3o11bo51b3o17boo28b5oboo4bo$64b o12bo3bo67boo28bo3bobbobobbo$47bo32bobo28bo74bo$47bo33bo28bobo$47bo62b obo$48boo61bo$48b3o114b3o$48boo56boo56bobbo$105bobbo48boo5boobo11boo$ 70bo35boo49boo20b4o$92boo89bo$93boo84b3oboboo$47bo44bo77bob3o4bo3bo3bo $25bo20bobo124boo4bo4bobbo$24bobo15bo6bo99boo14b3o15bo3bo$23bo3bo13bob o3boo100boo29boo4bo$23bo3bo8bo6bo4bo136bo$23bobob3o4boob3obo140b3o$24b oobobbo5boboobbo6boo$28bobo8bobboo4bobbo73boo$28boo10booboo3bobbo72bob o$b3o39boo3bobo75bo$b3o14boo137boo$o3bo7bobo4boo124b3o9boo$boob3o5bobb obb3o124b3o$boo4bo4bobob6o38b3o82bobbo$4bobbo9bobboo39boo83b3o$5boo11b 3o26boo10bobo84boo$19bo27boo10bo$57boo$58bobo$59boo$$27bobo132boo$161b oo$27bobo25boo87b3o15bo$55boo86bobbo14boo$144boo16boo$145boo$7boo153bo $7boo129b3obbobo16b3o$138bo5boo13bobo$27boo111bo4bo12boo3bo$138bo20bo$ 138b3o$139boo20b3o$139bo$15boo121b3o$15boo118b3o3bo$135boo$135boo$109b obo27bo$109bobbo26bo$105boobobbo27bo$105bobbo$106boo$106boo$100boo$ 100boo4$116boo$116bobo10b3o$115bobbooboo$108boo6boobboobo5bo3bo$108boo 6bo3booboo5b4o$133bo$$115bobo$115bobbobbo$115bobboobbo$116bobo$116bobb oo$117bobo$117bobbo$120bo$118bobo$118b3o5$117boo$116bobbo$116boo$117b 5o$121boo$118boobboo$118bobboo$119b3o$120bo$109bo$108bo5bo$108bo5bo$ 108boo4bo$$88boo20b3o$88boo21boo$112bo$111bobo$112bo$112bo3$96boo$96b oo12boo$109bobbo$109boobo$111b4o$115bo$111boo3bo$111bo3bo$112b3o!
-dbell
You can figure that out better than anyone else can, since you haven't defined "smallest". Smallest by bounding box, or by population?AlbertArmStain wrote: ↑December 16th, 2022, 9:43 amWhat’s the smallest state of the 2-engine Cordership?
Popdvgrn wrote: ↑December 16th, 2022, 10:03 amYou can figure that out better than anyone else can, since you haven't defined "smallest". Smallest by bounding box, or by population?AlbertArmStain wrote: ↑December 16th, 2022, 9:43 amWhat’s the smallest state of the 2-engine Cordership?
Open up Golly, load up a 2-engine Cordership, run pop-plot.lua for at least 96 ticks, and look at the number on the bottom of the vertical axis at the left.
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#C [[ THEME 0 ]]
x = 25, y = 16, rule = B3/S23
13bo$13b3o$14bo4$2bo2bobo$2obob3o$bo6bo$2o5bo$19b2o$bo5b2o10b2obo$o6b
o15bo$b3obob2o11bo$bobo2bo14bob2o$23b2o!
Not really, in my opinion. It's very impressive, though. Where did it come from? (I haven't looked around in the relevant collections.)
Use the systematic name 45P48 and you can see how it is more impressive: per this edit, it is currently the smallest known "interesting" period-48 oscillator by population. "Interesting" is a somewhat arbitrary criterion, but it definitely rules out spark-coupled LCM oscillators; the true record xp48_660259gcy1g8gzy166y1sspxgk2gb3zy8ooy011 (unix on <s>Rarity's</s> Charity's p16) is marginally smaller by one (1) cell.dvgrn wrote: ↑December 16th, 2022, 8:33 pmNot really, in my opinion. It's very impressive, though. Where did it come from? (I haven't looked around in the relevant collections.)
The problem is just that an awful lot of impressive p48 oscillators have showed up in the last year or two, and it no longer seems sensible to have separate LifeWiki pages for each of them, with not a whole lot to say about each individual one.
-- Just my opinion; others may disagree.
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x = 30, y = 49, rule = B3/S23
bo5b3o5b3o$3o4bo2bo4bo2bo$ob2o2bo3bo4bo$b3o2bobob2o3bo$b2o4bob3o4bobo
3$25b4o$24bo3bo$28bo$24bo2bo3$25b3o$24bo2b2o$24b2o2b2o$24bo3bo$23bo2b
2o$24bo3$26b2o$25b4o$25b2ob2o$27b2o6$14b4o$13bo3bo$17bo$13bo2bo4$11b3o
bo$11b2obob2o$11b3o3bo$12bo4bo$13b4o$14bo3$15b2o$13b2ob2o$13b4o$14b2o!
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x = 45, y = 63, rule = B3/S23
20bo7bo$12b3o4b3o5b3o$12bo2bo2b2o2bo3b2obo$12bo5bo3bo3b3o$12bo5bobo6b
2o$13bobo3b3obo$22bo32$41b2o$40b4o$40b2ob2o$42b2o2$2b2o34bo$b4o32bobo$
b2ob2o37bo$3b2o32bo6bo$44bo$38b2o2b3o$37b3o$bo35b3o$ob2o34b2o$3b2o$bo
2b2o34bo2bo$bo2bo39bo$2b2o36bo3bo$41b4o3$b4o$o3bo$4bo$o2bo!
In 2023 (UTC). Trying to begin 2021's early caused it to be delayed for several months.
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x = 8, y = 12, rule = B3/S23
o3bo$b3o3$b4o$o4bo$o3bobo$bo3bobo$7bo$7bo$4bo2bo$5b2o!Code: Select all
x = 106, y = 21, rule = B3/S23
8bo3bo17bo3bo17bo3bo17bo3bo17bo3bo$9b3o19b3o19b3o19b3o19b3o3$8b4o19b4o
18b4o18b4o18b4o$7bo4bo17bo4bo16bo4bo16bo4bo16bo4bob2o$5b2o6b2o13b3o4b
3o14bo3bobo13b3o4b2o15bo4bo3bo$4b3obo2bob3o11bo10bo14bo3bobo11bo6bobo
18b2o4bo$3bo4bo2bo4bo11b4o2b4o21bo12bob2obo18b2o4bo2bo$6bob4obo17bo2b
o24bo12bo2bobo2bo14bo2bo3bo2bo$3b2obo6bob2o11b4o2b4o18bo2bo15bob2obo14b
o2bo4b2o$2bo4b6o4bo10bo2bo2bo2bo19b2o13bobo6bo13bo4b2o$obob3o6b3obobo
9b3o2b3o35b2o4b3o14bo3bo4bo$2obo2bo2b2o2bo2bob2o53bo4bo17b2obo4bo$3b2o
4b2o4b2o10b4o4b4o35b4o22b4o$4o2bo6bo2b4o7bo2bo4bo2bo$o4bobo4bobo4bo11b
4o$b3obo8bob3o$3bobob2o2b2obobo$5bo8bo$5b2o6b2o!Code: Select all
x = 54, y = 54, rule = B3/S23
30b4o$26b2obo4bo$25bo3bo4bo$25bo4b2o$11b3o11bo2bo4b2o9b3o$11b3o11bo2b
o3bo2bo8b3o$10bobo13b2o4bo2bo7bobo$10b2o17b2o4bo7b2o$26bo4bo3bo$26bo4b
ob2o$27b4o2$12bo$8b4obo$8b3obobo$13bobo$14bo$13b2o$13b2o$13b2o9$11b3o
29b3o$11b3o29b3o$2o8bobo29bobo$obo7b2o30b2o$bo10$11b4o$7b2obo4bo33b2o
$6bo3bo4bo30bo$6bo4b2o32bobo2b2o$6bo2bo4b2o27bobob3o2bo$6bo2bo3bo2bo26b
o2b6o$7b2o4bo2bo29b2ob2o$10b2o4bo28b6o2bo$7bo4bo3bo27bo2b3obobo$7bo4b
ob2o29b2o2bobo$8b4o38bo$46b2o!Not that I know of. It can be done much more cheaply and efficiently with two eaters; their main drawback is that they need more clearance on the sides:
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x = 11, y = 7, rule = B3/S23
3bo3bo$4b3o2$2b2o3b2o$3bo3bo$3o5b3o$o9bo!
Sure, The linear propagator would be an example. you could also just remove the cleanup from a previously existing adjustable spaceship. here's a lazy example with the demonoid.
The dictionary says methuselahs. Commons usage is methuselahs. But methuselae is a wiki redirect for those who, I suppose, prefer it.get_Snacked wrote: ↑December 29th, 2022, 8:17 pmis it "methuselahs" or "methuselae?" i've heard both.