Re: Thread for basic questions
Posted: July 6th, 2024, 9:17 am
Just a note: How are advancers possible, given that the max diagonal speed in vacuum is c/4, which is the glider’s speed?
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Some reactions can kill a spaceship, then regenerate the exact same thing after a few generations, usually a slightly larger displacement than the ship would normally do. Translations can be faster than maximum vacuum speed in mediums.Haycat2009 wrote: July 6th, 2024, 9:17 am Just a note: How are advancers possible, given that the max diagonal speed in vacuum is c/4, which is the glider’s speed?
You're referring to things like the Fast Forward Force Field, I think? Yeah, it's very easy to propagate gliders or other signals a lot faster than c/4 diagonally, in a lot of different ways -- all requiring something other than a vacuum, but many mechanisms actually being re-usable unlike a one-time advancer.b-engine wrote: July 6th, 2024, 9:49 amSome reactions can kill a spaceship, then regenerate the exact same thing after a few generations, usually a slightly larger displacement than the ship would normally do. Translations can be faster than maximum vacuum speed in mediums.Haycat2009 wrote: July 6th, 2024, 9:17 am Just a note: How are advancers possible, given that the max diagonal speed in vacuum is c/4, which is the glider’s speed?
A one-time advancer can be used as the core reaction of a reusable advancer.dvgrn wrote: July 6th, 2024, 10:12 am[...] but many mechanisms actually being re-usable unlike a one-time advancer. [...]
confocaloid wrote: July 5th, 2024, 9:02 am Here are three more advancers which are actually one-time splitters (they emit a sideways glider), along with syntheses from Catagolue.Code: Select all
x = 199, y = 69, rule = B3/S23 7b2o$7bobo$8bo3$112b2o6bo$112bobo4bobo$72bo40bobo3b2o$12b2o57bobo40bo$ 11bo2bo50b2o4bobo101b2o$11bobo51bobo4bo103bo4b2o$12bo53bobo105bo4bo2bo $67bo106b2o3b2o4$25b2o49b2o50b2o$25bobo48bobo49bobo$26bo50bobo49bobo$ 78bo51bo$34b2o$33bo2bo$33bobo39b2o$34bo39bo2bo51b2o$75b2o51bobo$129bo 5$22b3o11b3o35b3o9b3o47b3o57b3o$22bo13bo37bo11bo49bo59bo$23bo13bo37bo 11bo49bo59bo21$2bo$obo125bo$b2o69bo13bo40b2o$73bo11bo41bobo$71b3o11b3o $123b3o$16bo108bo$17bo60bo45bo$15b3o61bo$77b3o37b2o$116bobo$18b2o98bo$ 11b3o4bobo58bo$13bo4bo60bobo54b2o$12bo66b2o54b2o$137bo!
It's periodic and takes LWSSes instead of gliders, but Star gate.Haycat2009 wrote: July 7th, 2024, 12:04 am Are there any reusable advancers (including those that output on a different lane)
All glider advancers are same-lane. If the output is on another lane in the same direction, then it is a lane shifter instead.Haycat2009 wrote: July 7th, 2024, 12:04 am Are there any reusable advancers (including those that output on a different lane)
Rule:TripleLife:AbhpzTa, in a forum thread 'Stable glider advancer', wrote: December 23rd, 2016, 3:08 am 8-step (repeat time 1641):Code: Select all
x = 303, y = 135, rule = B3/S23 bo99bo$2bo99bo$3o97b3o25$272b2o$272bobo$206b2o26b2o38bo4b2o$206bobo25b obo33b4ob2o2bo2bo$208bo4b2o21bo4b2o27bo2bobobobob2o$204b4ob2o2bo2bo15b 4ob2o2bo2bo28bobobobo$204bo2bobobobob2o15bo2bobobobob2o29b2obobo$207bo bobobo21bobobobo36bo$208b2obobo22b2obobo41bo$212bo27bo23b2o17b3o$265bo 7b2o11bo$198b2o26b2o37bobo5b2o10bobo$199bo7b2o18bo7b2o29b2o17bobo$199b obo5b2o18bobo5b2o49bo$200b2o26b2o3$227bo$225b3o73b2o$224bo51b2o23b2o$ 174bo49b2o50bo$174b3o33b2o26b2o19bo17b3o$177bo32bo27bo18b3o19bo$176b2o 33b3o25b3o14bo22bob2o$164b2o47bo27bo14b2o19b2obobo$134bo9b2o19bo111bo 2bo$133bobo8bobo18bobo111b2o7b2o$133bobo10bo19b2o46b2o72b2o$132b2ob2o 9b2o65bobo5b2o$132bo80bo7b2o73b2obo$133bob2o3b2o70b2o82b2ob3o$131bobob 2o3b2o104b2o54bo$131b2o93bo18bobo5b2o41b2ob3o$222b2obobo17bo7b2o40bo2b 2o$149b2o70bobobobo16b2o48bobo$149b2o26b2o39bo2bobobobob2o62bobob2obo$ 177b2o39b4ob2o2bo2bo27bo17b2o16bo2bob2o$131b2o89bo4b2o25b2obobo17bo19b o$132bo73bo9bo3bobo9bo20bobobobo17bobo16b2o$132bobo71b3o5b3o3b2o8b3o 17bo2bobobobob2o15b2o13bobo2b2o$133b2o59b2o13bo3bo15bo20b4ob2o2bo2bo 30b2o2bo2bo$176bo17bo13b2o3b2o14b2o23bo4b2o37b2o$159b2o14bobo17bo56bob o$146b2o12bo13bo2bo16b2o53bo2b2o$146bobo8b3o15b2o70b3o17b2o$148bo8bo 88bo20bo6b2o$148b2o83b2o11b2o20bo6bo$233b2o32b2o6bobo$276b2o$191b2o$ 124b2o54bo10b2o$123bo2bo2b2o48bobo107b2o$124b2o2bobo13b2o34b2o107bobo$ 126b2o16bobo117b2o25bo$126bo19bo27b2o88b2o25b2o$123b2obo2bo16b2o26b2o$ 123bob2obobo91b2o$127bobo72bo6b2o11bobo$124b2o2bo71b3o6b2o13bo61b2o$ 122b3ob2o51b2o18bo24b2o60bo$121bo57b2o18b2o86b3o$122b3ob2o142bo18bo$ 124bob2o104b2o34b3o8b2o$231bobo33bo11bo2bobob2o$134b2o65b2o28bo35b2o 11b3ob2obo$134b2o46bo18b2o27b2o51bo$182b3o95b2obo$185bo89b2obo2b2o$ 142b2obo38b2o17bo72bob2o$142bob2o56bobo71bo$203bo15b2o47b2o4b3o$204b3o 12bo48b2o3bo3b2o$121b2o83bo13bo11bo40b4o2bo$121b2o74b2o20b2o9b3o26b2o 15bob2o$197b2o30bo28bobo12b3o2bo$229b2o10b2o15bo13bo5bo$241bo15b2o14b 5o$239bobo33bo$137bo101b2o10bo$136bobo77b2o33b3o$136bobo77b2o36bo$137b o115b2o$138b3o127b2o$140bo127bo$265b2obo$160bo24b2o5b2o70bo2bo$160b3o 23bo5bo72b2o$163bo19b3o7b3o10b2o42b2o$162b2o19bo11bo10bo18b2o23b2o$ 207b3o16bo$209bo13b3o$223bo$237b2o3bo$237bo3bobo$238bo3bobo$172b2o65bo 3bobob2o$165b2o5bobo62bob4o2bob2o$165b2o7bo61bobo3bobo$174b2o60bobo2bo 2b2ob2o$237bo3b2o2bobo$161bo83bobo10b2o$160bobob2o80bo11b2o$160bobobob o$157b2obobobobo2bo$157bo2bo2b2ob4o$159b2o4bo$165bobo$166b2o!
Code: Select all
x = 203, y = 135, rule = TripleLife
.G$2.G$3G25$172.2A$172.A.A$106.2A26.2A38.A4.2A$106.A.A25.A.A33.4A.2A
2.A2.A$108.A4.2A21.A4.2A27.A2.A.A.A.A.2A$104.4A.2A2.A2.A15.4A.2A2.A2.
A28.A.A.A.A$104.A2.A.A.A.A.2A15.A2.A.A.A.A.2A29.2A.A.A$107.A.A.A.A21.
A.A.A.A36.A$108.2A.A.A22.2A.A.A41.A$112.A27.A23.2A17.3A$165.A7.2A11.A
$98.2A26.2A37.A.A5.2A10.A.A$99.A7.2A18.A7.2A29.2A17.A.A$99.A.A5.2A18.
A.A5.2A49.A$100.2A26.2A3$127.A$125.3A73.2A$124.A51.2A23.2A$74.A49.2A
50.A$74.3A33.2A26.2A19.A17.3A$77.A32.A27.A18.3A19.A$76.2A33.3A25.3A
14.A22.A.2A$64.2A47.A27.A14.2A19.2A.A.A$34.A9.2A19.A111.A2.A$33.A.A8.
A.A18.A.A111.2A7.2A$33.A.A10.A19.2A46.2A72.2A$32.2A.2A9.2A65.A.A5.2A$
32.A80.A7.2A73.2A.A$33.A.2A3.2A70.2A82.2A.3A$31.A.A.2A3.2A104.2A54.A$
31.2A93.A18.A.A5.2A41.2A.3A$122.2A.A.A17.A7.2A40.A2.2A$49.2A70.A.A.A.
A16.2A48.A.A$49.2A26.2A39.A2.A.A.A.A.2A62.A.A.2A.A$77.2A39.4A.2A2.A2.
A27.A17.2A16.A2.A.2A$31.2A89.A4.2A25.2A.A.A17.A19.A$32.A73.A9.A3.A.A
9.A20.A.A.A.A17.A.A16.2A$32.A.A71.3A5.3A3.2A8.3A17.A2.A.A.A.A.2A15.2A
13.A.A2.2A$33.2A59.2A13.A3.A15.A20.4A.2A2.A2.A30.2A2.A2.A$76.A17.A13.
2A3.2A14.2A23.A4.2A37.2A$59.2A14.A.A17.A56.A.A$46.2A12.A13.A2.A16.2A
53.A2.2A$46.A.A8.3A15.2A70.3A17.2A$48.A8.A88.A20.A6.2A$48.2A83.2A11.
2A20.A6.A$133.2A32.2A6.A.A$176.2A$91.2A$24.2A54.A10.2A$23.A2.A2.2A48.
A.A107.2A$24.2A2.A.A13.2A34.2A107.A.A$26.2A16.A.A117.2A25.A$26.A19.A
27.2A88.2A25.2A$23.2A.A2.A16.2A26.2A$23.A.2A.A.A91.2A$27.A.A72.A6.2A
11.A.A$24.2A2.A71.3A6.2A13.A61.2A$22.3A.2A51.2A18.A24.2A60.A$21.A57.
2A18.2A86.3A$22.3A.2A142.A18.A$24.A.2A104.2A34.3A8.2A$131.A.A33.A11.A
2.A.A.2A$34.2A65.2A28.A35.2A11.3A.2A.A$34.2A46.A18.2A27.2A51.A$82.3A
95.2A.A$85.A89.2A.A2.2A$42.2A.A38.2A17.A72.A.2A$42.A.2A56.A.A71.A$
103.A15.2A47.2A4.3A$104.3A12.A48.2A3.A3.2A$21.2A83.A13.A11.A40.4A2.A$
21.2A74.2A20.2A9.3A26.2A15.A.2A$97.2A30.A28.A.A12.3A2.A$129.2A10.2A
15.A13.A5.A$141.A15.2A14.5A$139.A.A33.A$37.A101.2A10.A$36.A.A77.2A33.
3A$36.A.A77.2A36.A$37.A115.2A$38.3A127.2A$40.A127.A$165.2A.A$60.A24.
2A5.2A70.A2.A$60.3A23.A5.A72.2A$63.A19.3A7.3A10.2A42.2A$62.2A19.A11.A
10.A18.2A23.2A$107.3A16.A$109.A13.3A$123.A$137.2A3.A$137.A3.A.A$138.A
3.A.A$72.2A65.A3.A.A.2A$65.2A5.A.A62.A.4A2.A.2A$65.2A7.A61.A.A3.A.A$
74.2A60.A.A2.A2.2A.2A$137.A3.2A2.A.A$61.A83.A.A10.2A$60.A.A.2A80.A11.
2A$60.A.A.A.A$57.2A.A.A.A.A2.A$57.A2.A2.2A.4A$59.2A4.A$65.A.A$66.2A!
I think LifeViewer requires a finite grid for strobing RuleLoader tables/trees, and Golly doesn't behave very nicely with such cellular automata, either.Drelectron8 wrote: July 7th, 2024, 4:46 am Hello, I would like to know how to use B0 in a ruletable? Do I write it out as "1, 0,0,0,0,0,0,0,0, 1" or just "0, 0,0,0,0,0,0,0,0, 1"? Or is it something else completely. Please help!
Code: Select all
x = 15, y = 17, rule = test_b0:T64,64
11b4o$10b2o$9bo$8bo$7bo$6bo$5bo$4bo$4bo$3bo$3bo$2bo$2bo$bo$bo$o$o!
@RULE test_b0
@TABLE
n_states:2
neighborhood:Moore
symmetries:permute
0, 0,0,0,0,0,0,0,0, 1
1, 1,1,1,1,1,1,1,1, 0
the first one means "S1e ( or S1 )".the second one is inpossible.Drelectron8 wrote: July 7th, 2024, 4:46 am Hello, I would like to know how to use B0 in a ruletable? Do I write it out as "1, 0,0,0,0,0,0,0,0, 1" or just "0, 0,0,0,0,0,0,0,0, 1"? Or is it something else completely. Please help!
Code: Select all
x = 0,y = 0,rule = No
o!
@RULE No
@TABLE
n_states:2
neighborhood:Moore
symmetries:permute
0,0,0,0,0,0,0,0,0,1So we need 2 (or more states you want) states to make B0 ruletable or ruletree."In strobing rules, the entire universe will "light up" (get born) and die again in successive alternate generations."(from Strobing rules page)
"Golly supports a strict class subclass of alternating rules, which are used in simulating B0 rules to avoid strobing, using the process described in Golly's documentation."(from Alternating rule page )
How do I make the ruletable so that it becomes an alternating rule? I found the alternate equivalent of the strobing rule, which is B2478/S678|B345678/S23578, but I can't put them to alter as they both will exist on the same generation step.pifricted wrote: July 7th, 2024, 5:30 am So we need 2 (or more states you want) states to make B0 ruletable or ruletree.
use 2 states.State 1 follow B2478/S678 and all become State 2.State 2 follow B345678/S23578 and all become State 1.(both in 1 step)Drelectron8 wrote: July 7th, 2024, 6:05 amHow do I make the ruletable so that it becomes an alternating rule? I found the alternate equivalent of the strobing rule, which is B2478/S678|B345678/S23578, but I can't put them to alter as they both will exist on the same generation step.pifricted wrote: July 7th, 2024, 5:30 am So we need 2 (or more states you want) states to make B0 ruletable or ruletree.
Please help!
No. Proof:Haycat2009 wrote: July 7th, 2024, 7:27 am Is DyeLife a sort of Hybrid rule where red cells emulate B3c/S23 and so on?
Code: Select all
#R DyeLife
AAA!
Code: Select all
#R testst
E$A$E!
@RULE testst
@TABLE
n_states:11
neighborhood:vonNeumann
symmetries:none
@COLORS
0 255 255 255
1 255 0 0
2 255 127 0
3 255 255 0
4 127 255 0
5 0 255 127
6 0 255 255
7 0 127 255
8 0 0 255
9 127 0 255
10 255 0 255
@NAMES
0 dead
1 B3c
2 B3e
3 B3k
4 B3a
5 B3i
6 B3n
7 B3y
8 B3q
9 B3j
10 B3r
I think that is a composite component, and it is useful to record it (in the category (4,2) using the same system), but instead of specifying it directly as a 18G+target collision, one can specify it indirectly by showing the decomposition into elementary transformations (each of which can then be looked up individually):vilc wrote: June 24th, 2024, 5:57 pm [...] The useful "component" below is to my knowledge the cheapest way to perform a very elementary transformation, but it consists in multiple stages that involve other components. Should we count it as a component or some kind of metacomponent ?There are perhaps only a few thousands of elementary components. [...]Code: Select all
x = 70, y = 68, rule = LifeHistory 9.A.A$10.2A$10.A56.A.A$67.2A$4.A59.A3.A$2.A.A57.2A$3.2A58.2A2$7.A$5.A .A$6.2A2$18.A$16.A.A39.A$17.2A39.A.A$58.2A3$48.A7.A.A$48.A.A5.2A$48. 2A7.A5$8.A30.A$6.A.A8.A19.A.A$7.2A6.A.A9.A10.2A$16.2A10.2A$27.2A12.2A $41.A.A$41.A4$43.A$38.D3.2A$17.2A15.2A3D3.A.A$16.A.A16.C$18.A16.C.2C$ 34.2C.C$36.C2.C$36.C.2C12.2A$35.2C.C12.2A$38.C14.A$38.2C20$.2A$A.A$2. A!
Code: Select all
#C (4,2) : (5,0) (2,0) (5,4) (7,6) (1,8)
x = 74, y = 13, rule = LifeHistory
36.D11.A$23.D11.C.D9.CDA9.2A$22.D.D9.C.C9.C.AD4.D3.A2.A4.A$4.D17.2D
10.2C10.CA.D3.D.D.DC.DA3.A.A.2A.C$2A3D15.2C10.2C10.2C.2D5.2DAC.2C5.2A
.AD2C$.C19.C11.C11.C11.C11.C$.C.2C16.C.2C8.C.2C8.C.2C8.C.2C8.C.2C$2C.
C6.5E5.2C.C8.2C.C8.2C.C8.2C.C8.2C.C$2.C2.C16.C2.C8.C2.C8.C2.C8.C2.C8.
C2.C$2.C.2C4.5E7.C.2C8.C.2C8.C.2C8.C.2C8.C.2C$.2C.C16.2C.C8.2C.C8.2C.
C8.2C.C8.2C.C$4.C19.C11.C11.C11.C11.C$4.2C18.2C10.2C10.2C10.2C10.2C!
I wonder how many are there known transformations that can be performed by an indecomposable component (not distinguishing between reactions that do the same transformation), and how many "(a, d) categories" get populated by those transformations.vilc wrote: June 24th, 2024, 5:57 pmIt depends on the criterias used to differentiate components. [...]confocaloid wrote: June 24th, 2024, 3:40 pm Roughly how many different synthesis components are currently known?
[...]
[...] If we restrict ourselves to small, non-trivial, elementary components with good reusability and include a few useful variants (like most components in components_v4), then I would say the answer lies between a few hundreds and a thousand, although I can't accurately measure it. That would be the most reasonnable way to count in my opinion.
Chris857 wrote: July 8th, 2024, 10:21 amAnd with this small conversion step, that stator variant has been reduced from 246 gliders down to only 82. Previous synth.vilc wrote: July 8th, 2024, 5:41 am Edit :
I thought that 42P10.3 was unsynthesised, but I was wrong : xp10_xgbb88gz32q5hp1lgn84czx12452, a minor stator variation from the version of LifeWiki was already synthesised by Extrementhusiast in 2016 (see viewtopic.php?f=2&t=1155&hilit=42P10&start=350#p22464). At least my synthesis is more than three times cheaper ...Code: Select all
x = 19, y = 28, rule = B3/S23 2bo$obo$b2o4$obo13bo$b2o6bobo4bobo$bo7b2o5b2o$10bo6$11b2o$11b2o2$9b4o $8bo4bo$5bo2b5obo$5b3o6bo$8bo3bobob2o$7bo2bo4bobo$7bob2ob3o$8bo2bo$9b o2bo$10b2o!
I already happened to think about this representation as an objective criterion to sort components. It is not entirely new, see viewtopic.php?f=2&t=2441&p=38455&hilit=2G#p38455 for a collection of components by Bob Shemyakin sorted by population difference (a - d using your notation). I partially sorted components_v4 this way. Here are the most interesting rows of my table (the others are mostly empty and not yet numbered). Cleanups and preliminary steps are sometimes implicit.confocaloid wrote: July 8th, 2024, 11:59 am One way to group stable-to-stable synthesis components would be to identify the overall transformation in each case, and split transformations by the ordered pair (a, d) where a is the number of added bits and d is the number of deleted bits. (Cells that temporarily change state during the reaction but then return to their original state are not counted.)
Code: Select all
x = 1801, y = 1001, rule = LifeHistory
200.1601D$200.D199.D199.D199.D199.D199.D199.D199.D199.D$200.D199.D
199.D199.D199.D199.D199.D199.D199.D$200.D199.D199.D199.D199.D199.D
199.D199.D199.D$200.D199.D199.D199.D199.D199.D199.D199.D199.D$200.D
199.D199.D199.D199.D199.D199.D199.D199.D$200.D10.A.2A185.D10.A.2A11.
4D170.D10.A.2A10.4D171.D10.A.2A185.D10.A.2A8.4D173.D10.A.2A185.D10.A.
2A10.4D171.D10.A.2A10.4D171.D$200.D10.2A.A185.D10.2A.A11.4D170.D10.2A
.A10.4D171.D10.2A.A185.D10.2A.A8.4D173.D10.2A.A9.4D172.D10.2A.A10.4D
171.D10.2A.A10.4D171.D$200.D8.2A4.2A183.D8.2A4.2A13.2D168.D8.2A4.2A
12.2D169.D8.2A4.2A5.2D4.2D170.D8.2A4.2A4.2D177.D8.2A4.2A7.4D172.D8.2A
4.2A12.2D169.D8.2A4.2A6.2D4.2D169.D$200.D9.A5.A10.2D171.D9.A5.A13.2D
168.D9.A5.A12.2D169.D9.A5.A5.2D4.2D170.D9.A5.A4.2D177.D9.A5.A5.2D176.
D9.A5.A12.2D169.D9.A5.A6.2D4.2D169.D$200.D8.A5.A11.2D171.D8.A5.A14.2D
168.D8.A5.A13.2D169.D8.A5.A6.2D4.2D170.D8.A5.A5.2D177.D8.A5.A6.2D176.
D8.A5.A13.2D169.D8.A5.A7.2D4.2D169.D$200.D8.2A4.2A10.2D171.D8.2A4.2A
13.2D168.D8.2A4.2A12.2D169.D8.2A4.2A5.2D4.2D170.D8.2A4.2A4.2D177.D8.
2A4.2A5.2D176.D8.2A4.2A12.2D169.D8.2A4.2A6.2D4.2D169.D$200.D26.2D171.
D25.4D170.D24.4D171.D23.4D172.D22.4D173.D21.2D176.D199.D24.4D171.D$
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4D171.D$200.D8.2A4.2A183.D8.2A4.2A7.2D174.D8.2A4.2A12.2D169.D8.2A4.2A
11.2D170.D8.2A4.2A10.2D171.D8.2A4.2A7.4D172.D8.2A4.2A12.2D169.D8.2A4.
2A6.2D4.2D169.D$200.D9.A5.A10.2D171.D9.A5.A7.2D174.D9.A5.A12.2D169.D
9.A5.A11.2D170.D9.A5.A10.2D171.D9.A5.A5.2D4.2D170.D9.A5.A12.2D169.D9.
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8.A5.A7.2D4.2D169.D$200.D8.2A4.2A10.2D171.D8.2A4.2A7.2D174.D8.2A4.2A
12.2D169.D8.2A4.2A11.2D170.D8.2A4.2A10.2D171.D8.2A4.2A5.2D4.2D170.D8.
2A4.2A12.2D169.D8.2A4.2A6.2D4.2D169.D$200.D10.A.2A12.2D171.D10.A.2A
11.4D170.D10.A.2A10.4D171.D10.A.2A185.D10.A.2A8.4D173.D10.A.2A7.2D4.
2D170.D10.A.2A185.D10.A.2A10.4D171.D$200.D10.2A.A185.D10.2A.A11.4D
170.D10.2A.A10.4D171.D10.2A.A185.D10.2A.A8.4D173.D10.2A.A9.4D172.D10.
2A.A185.D10.2A.A10.4D171.D$200.D199.D199.D199.D199.D199.D23.4D172.D
199.D199.D$200.D199.D199.D199.D199.D199.D199.D199.D199.D$200.D199.D
199.D199.D199.D199.D199.D199.D199.D$200.D199.D199.D199.D199.D199.D
199.D199.D199.D$200.D199.D199.D199.D199.D199.D199.D30.A168.D199.D$
200.D199.D199.D199.D105.A93.D199.D199.D31.A167.D199.D$200.D199.D49.A
149.D199.D105.A.A91.D199.D199.D29.3A167.D199.D$200.D199.D50.2A147.D
199.D105.2A92.D199.D199.D199.D199.D$200.D56.A29.A112.D49.2A148.D199.D
27.2A170.D199.D199.D199.D199.D$200.D54.A.A27.2A113.D199.D199.D26.A.A
2.2A166.D21.A8.C168.D199.D199.D199.D$200.D55.2A28.2A112.D55.A143.D
199.D28.A2.A.A165.D19.A.A7.C.C167.D199.D199.D199.D$200.D38.A160.D53.
2A144.D199.D31.A62.A.A102.D20.2A6.D.C168.D199.D199.D199.D$200.D25.A.A
11.A159.D22.A27.A3.2A143.D199.D46.A48.2A50.A51.D23.3A.D.D169.D23.A
175.D199.D199.D$200.D26.2A3.A5.3A159.D22.A.A26.2A146.D199.D47.2A46.A
50.A52.D25.A.2D170.D21.A.A13.A161.D199.D199.D$200.D26.A2.2A11.2A155.D
22.2A2.2A22.2A147.D199.D46.2A3.A13.A.A5.2A29.A33.A7.3A50.D24.A174.D
22.2A12.A162.D199.D199.D$200.D30.2A9.2A156.D25.2A172.D199.D43.2A7.2A
12.2A5.A.A3.A24.A.A17.A14.A59.D29.2A168.D36.3A5.A154.D29.A.A167.D199.
D$200.D43.A155.D23.D3.A171.D199.D42.A.A6.2A13.A8.A2.A25.2A19.A11.3A
59.D29.A.A167.D42.2A155.D30.2A167.D199.D$200.D24.CD13.CD15.2C141.D22.
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26.A3.A8.A159.D199.D$200.D23.C.C12.C.C15.C.D140.D21.C.C25.C2.C146.D
33.2A164.D29.D65.A29.D73.D199.D28.A170.D27.A10.A160.D199.D$200.D24.C
14.C17.C141.D22.C26.4C146.D29.A.A3.A163.D29.3D19.D21.D22.A24.A3.3D71.
D199.D26.3A170.D25.3A10.3A158.D199.D$200.D54.3C142.D199.D30.2A167.D
32.C14.3A.3D19.3D18.3A22.A.A6.C14.D55.D199.D41.A157.D199.D37.A161.D$
200.D54.C144.D49.2C148.D30.A168.D31.C.C15.A4.C21.C43.2A5.C.C10.2A.3D
53.D199.D39.2A158.D199.D36.A162.D$200.D199.D49.2C148.D199.D32.C15.A4.
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3A160.D$200.D199.D199.D199.D54.C21.C14.A.A6.3D2.C16.A.A15.A4.C.C51.D
199.D199.D199.D30.C.C.2D163.D$200.D199.D199.D199.D93.A9.C.C18.A21.2C
51.D199.D199.D21.3A175.D31.2C.D164.D$200.D199.D199.D100.A98.D102.C.C
94.D199.D199.D23.A175.D34.D5.3A156.D$200.D199.D199.D24.2D29.2C42.A99.
D103.C95.D199.D199.D22.A176.D31.3D.2A3.A158.D$200.D199.D199.D23.C.D
29.2C42.3A97.D14.3A182.D199.D34.2D163.D199.D31.D2.A2.A3.A157.D$200.D
199.D199.D22.C.C38.A33.A101.D16.A182.D199.D34.D164.D199.D29.2A3.A2.A
161.D$200.D199.D199.D23.C31.2C2D4.A.A23.2C.2D2.2A101.D15.A183.D199.D
35.3D161.D35.D163.D28.A.A4.2A162.D$200.D199.D199.D55.C2.D.A2.2A24.C3.
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2A21.C2.2A29.3C106.D199.D40.A158.D37.C.C159.D35.D163.D199.D$200.D199.
D199.D32.2A19.3C3.A.A29.C107.D199.D38.2A159.D38.C160.D36.3D160.D33.2A
164.D$200.D199.D199.D34.A18.C35.C3.C10.2A93.D199.D39.2A158.D199.D39.C
159.D33.A.A163.D$200.D199.D199.D89.5C9.2A94.D199.D17.A.A179.D199.D38.
C.C158.D33.A165.D$200.D199.D199.D98.2A5.A93.D199.D18.2A129.A.A30.A.A
14.D199.D39.C159.D199.D$200.D199.D199.D91.C5.2A100.D34.A.A162.D18.A
130.2A30.A17.D199.D199.D199.D$200.D199.D199.D90.C.C6.A99.D34.2A163.D
70.A79.A30.A17.D199.D199.D199.D$200.D199.D199.D91.C107.D35.A163.D68.A
.A63.A46.A2.A14.D199.D199.D199.D$200.D199.D199.D199.D62.A.A134.D69.2A
64.A45.3A15.D199.D199.D199.D$200.D199.D199.D199.D37.A24.2A135.D105.A.
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4.A33.2A69.2A3.A17.D199.D199.D199.D$200.D199.D199.D199.D23.A12.3A160.
D64.A2.A.2A35.A44.A23.2A5.A4.A11.D59.A139.D199.D199.D$200.D199.D199.D
199.D24.A174.D64.A2.A2.2A28.A50.A28.3A2.2A12.D60.2A137.D199.D199.D$
200.D199.D199.D199.D22.3A10.A163.D27.D37.2A4.D29.A6.A42.A33.D2A11.D
29.A.A27.2A138.D199.D199.D$200.D199.D199.D199.D33.A.A163.D26.D.D9.A
31.D.DA.A18.2A3.3A5.A15.2A52.A6.D.D12.D30.2A167.D199.D199.D$200.D199.
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.2A21.3A3.3A21.2A5.2D3.2A8.D30.A25.A18.A.A35.A85.D199.D199.D$200.D
199.D199.D199.D54.A2.A.A2.A.A134.D24.2C11.3A6.A.A19.2C4.A2.A14.4A9.D
15.4A19.D31.A.A3.2C4.2A9.D40.A16.2A16.2A37.A84.D199.D199.D$200.D199.D
199.D199.D48.2A2.3A3.2A2.2A135.D23.C.C20.2A19.C.C8.A14.2A9.D.D15.2A
19.D.D5.A31.C6.A8.D26.A.A9.2A16.2A18.A35.3A84.D199.D199.D$200.D199.D
199.D199.D49.2A148.D24.C22.A20.C4.2A29.2D37.2D6.A28.3C16.D27.2A10.2A
158.D199.D25.A173.D$200.D199.D199.D199.D48.A10.D139.D72.A2.A26.2C37.
2C8.A28.C18.D27.A82.A11.A76.D199.D23.A.A9.C163.D$200.D199.D199.D199.D
59.3D137.D34.A.A35.A2.A25.C.C6.2A28.C.C10.A45.D111.A10.A.A74.D199.D
24.2A8.C.C162.D$200.D199.D199.D199.D37.D24.C.C134.D34.2A37.2A27.C7.A.
A28.C10.2A45.D35.A73.3A10.2A75.D199.D33.D.C.C161.D$200.D199.D199.D
199.D37.3D16.2C3.C.2C134.D35.A74.A41.A.A44.D33.A.A28.A8.A125.D199.D
33.D2.C.C160.D$200.D199.D199.D199.D40.C.C14.C3.C137.D199.D34.2A29.2A
2.A3.A.A123.D28.A170.D22.A9.2D3.C161.D$200.D199.D199.D199.D39.C.2C14.
C.C.C137.D34.3A162.D64.2A2.2A3.2A41.A.A80.D26.A.A170.D23.A2.A7.3D162.
D$200.D199.D199.D199.D39.C18.C.C138.D34.A164.D32.2D3.A30.A.A46.2A80.D
27.2A3.A166.D21.3A2.2A6.D164.D$200.D199.D199.D199.D38.2C19.C139.D35.A
163.D32.D3.A80.A81.D30.2A61.A105.D25.A.A171.D$200.D199.D199.D199.D
199.D199.D33.D2.3A26.2D8.3A121.D31.2A44.A9.A5.A.A103.D199.D$200.D199.
D199.D199.D199.D199.D32.2D31.D9.A39.2D4.A77.D35.A42.A7.A6.2A104.D199.
D$200.D199.D199.D199.D199.D199.D31.C8.2A24.D9.A38.D3.2A78.D35.A.A38.
3A7.3A110.D199.D$200.D199.D199.D199.D199.D199.D31.3C6.A.A22.2D49.D3.
2A77.D33.D.2A4.A43.D5.2A106.D31.2A166.D$200.D199.D199.D199.D199.D199.
D34.C5.A23.C50.2D82.D32.D.D4.2A43.D.D4.A.A105.D32.2A165.D$200.D199.D
199.D199.D199.D199.D33.2C29.3C44.2C.C9.A74.D32.D.D5.2A42.D.D4.A107.D
31.A5.3A159.D$200.D199.D199.D199.D199.D199.D67.C43.C.2C8.2A74.D30.C.
2D47.2C.2D113.D37.A161.D$200.D199.D199.D199.D19.3A177.D199.D66.2C55.A
.A73.D29.C.C48.C2.C115.D32.2A4.A160.D$200.D199.D199.D199.D21.A177.D
199.D199.D29.C.C41.3A4.2C.C115.D32.A.A164.D$200.D199.D199.D199.D20.A
178.D199.D199.D30.C5.2A37.A7.C.2C112.D32.A166.D$200.D199.D199.D199.D
199.D199.D199.D36.A.A35.A8.C2.C112.D199.D$200.D199.D199.D199.D199.D
199.D199.D36.A47.2C113.D199.D$200.D199.D199.D199.D199.D199.D199.D199.
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199.D199.D199.D199.D35.A163.D199.D$200.D199.D199.D199.D199.D199.D199.
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$200.D199.D199.D199.D199.D31.A.A165.D199.D33.3A163.D199.D$200.D199.D
199.D199.D199.D31.2A166.D199.D34.2A163.D199.D$200.D199.D199.D199.D
199.D32.A57.A108.D199.D199.D199.D$200.D199.D199.D199.D199.D26.A.A59.A
.A108.D199.D199.D199.D$200.D199.D199.D199.D44.A.A152.D27.2A49.A10.2A
108.D199.D199.D199.D$200.D199.D199.D199.D35.A8.2A153.D27.A51.2A118.D
199.D199.D199.D$200.D199.D199.D199.D36.A8.A153.D27.2D49.2A12.2A105.D
34.A164.D199.D199.D$200.D199.D199.D199.D34.3A162.D27.D2.A61.A.A104.D
32.A.A5.2A157.D199.D199.D$200.D199.D199.D199.D38.A160.D24.2C.D.A62.A
106.D33.2A4.2A158.D199.D19.A8.A35.A.A6.A125.D$200.D199.D199.D199.D38.
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2A125.D$200.D199.D199.D199.D108.A.A5.2A81.D21.2C.2C4.3A55.D110.D33.2A
164.D199.D24.A174.D$200.D199.D199.D199.D109.2A6.2A80.D32.A54.D.D4.A
104.D32.A.A164.D199.D25.2A172.D$200.D199.D199.D199.D199.D31.A55.2D4.
2A104.D199.D199.D24.2A.2D.DC27.A.A137.D$200.D199.D199.D199.D31.2C78.A
87.D85.2C6.A.A103.D199.D199.D26.D.D.C.C26.2A138.D$200.D199.D199.D199.
D27.2C.C2.C77.A.A85.D86.C112.D199.D41.A157.D26.D.D.C.C27.A138.D$200.D
199.D199.D199.D27.C3.2C.D11.2A63.2A86.D85.C113.D199.D41.A.A155.D27.D
3.C35.2D.DC127.D$200.D199.D199.D199.D28.3C2.D11.2A.3A148.D85.2C112.D
199.D41.2A156.D61.2A5.D.C.C126.D$200.D199.D199.D199.D30.C.D13.5A55.D
92.D199.D199.D28.A170.D62.2A2.D.D.C.C126.D$200.D199.D199.D199.D31.D
15.3A52.C2.C.D91.D199.D199.D27.A6.A.A162.D61.A4.2D3.C127.D$200.D199.D
199.D199.D102.4C.D91.D199.D199.D27.3A4.2A163.D199.D$200.D199.D199.D
199.D106.D92.D199.D199.D35.A163.D199.D$200.D199.D199.D199.D104.2C93.D
199.D32.2D165.D199.D199.D$200.D199.D199.D199.D104.C94.D199.D32.D166.D
21.A.A12.2A161.D199.D$200.D199.D199.D199.D105.C93.D199.D34.D164.D22.
2A12.A.A25.2C133.D199.D$200.D199.D199.D199.D25.2A10.A66.2C93.D199.D
33.2D164.D22.A13.A28.C133.D199.D$200.D199.D199.D199.D24.A.A9.2A161.D
199.D32.C166.D29.D34.C134.D199.D$200.D199.D199.D199.D26.A9.A.A160.D
199.D32.3C164.D27.3D4.A29.2C133.D199.D$200.D199.D199.D199.D199.D33.A
165.D35.C163.D26.D6.2A31.D132.D199.D$200.D199.D199.D199.D199.D21.A11.
A.A163.D34.2C163.D26.2D5.A.A28.3D132.D199.D$200.D199.D199.D199.D28.A
170.D22.2A9.2A164.D199.D28.C34.D135.D199.D$200.D199.D199.D199.D28.2A
169.D21.2A176.D199.D26.3C34.2D134.D12.A186.D$200.D199.D199.D199.D27.A
.A169.D199.D16.3A180.D25.C173.D13.A185.D$200.D199.D199.D199.D199.D
199.D18.A180.D25.2C172.D11.3A185.D$200.D199.D199.D199.D199.D199.D17.A
181.D59.2A138.D24.A174.D$200.D199.D199.D199.D199.D199.D199.D60.2A137.
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D.D.C.C164.D$200.D199.D199.D199.D199.D26.D.D3.2A165.D199.D57.2A4.A6.A
128.D21.2A6.2D.C.C164.D$200.D199.D199.D199.D199.D26.C5.A.A164.D199.D
58.2A139.D33.C165.D$200.D199.D199.D199.D199.D24.3C172.D199.D57.A141.D
199.D$200.D199.D199.D199.D199.D23.C175.D199.D199.D199.D$200.D199.D
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199.D199.D199.D199.D$200.D199.D199.D199.D199.D199.D199.D199.D199.D$
200.D199.D199.D199.D199.D199.D199.D199.D199.D$200.D199.D199.D199.D
199.D199.D199.D199.D199.D$200.D199.D199.D199.D199.D199.D199.D199.D
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199.D71.A.A125.D199.D26.A.A170.D199.D199.D$200.D199.D199.D199.D72.2A
125.D199.D27.2A170.D199.D199.D$200.D199.D199.D199.D36.A35.A33.A92.D
199.D27.A171.D199.D199.D$200.D199.D199.D199.D34.2A69.A93.D199.D199.D
199.D199.D$200.D199.D199.D199.D35.2A68.3A26.A64.D199.D29.A.A167.D199.
D199.D$200.D199.D199.D199.D103.A31.A63.D199.D30.2A167.D199.D199.D$
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Code: Select all
x = 107, y = 10, rule = LifeHistory
3.A58.A$2.A.A55.3A$2.A.A41.A12.A43.A$2A.A.2A38.A.A11.A2.3A37.A.A$.A3B
A16.3B17.3BA.A10.2A.A2BA17.3B16.ABABA$.ABDBA16.BDB17.BD2A2.2A11.ABDB
17.ADB16.ABDBA$2.2AB2A15.ABA17.A2B.A.A12.2A2B16.ABAB15.2ABAB2A$4.A2.A
12.3A.3A15.2A.2A2.A32.A19.A.A$4.A.A12.A7.A20.2A52.A.A$5.A13.2A5.2A75.
A!
I think that any category (a,d) can be filled this way, because we could use a fuse to achieve high counts of destructed cells and chains of fast components like demonstrated in my previous post to achieve high counts of constructed cells. It might be interesting to try to cover all cases this way, but that would look like a trivial answer in my opinion. This is because the definition of "indecomposable" doesn't take into account the fact that components can be made of smaller pieces even if the timing of these is not adjustable.confocaloid wrote: July 8th, 2024, 11:59 am I wonder how many are there known transformations that can be performed by an indecomposable component (not distinguishing between reactions that do the same transformation), and how many "(a, d) categories" get populated by those transformations.
The part "can be performed by an indecomposable component" means that the (4,2) transformation performed by the 18G example component you posted would not count, unless there is a known indecomposable component that does the same transformation directly.
Code: Select all
x=10, y=11
2bo$obo$b2o4bo$7bobo$7b2o$5bo$4b2o$4bobo$bo$obo$2o!
In addition to understanding fast components, one would need to understand construction components where the initial object before the transformation is periodic. In both cases, one would need to go beyond the scheme "constant on / constant off / restored on / restored off / off becomes on / on becomes off / unspecified", to be able to capture enough details about the histories of individual cells.vilc wrote: July 9th, 2024, 4:55 am [...] This is because the definition of "indecomposable" doesn't take into account the fact that components can be made of smaller pieces even if the timing of these is not adjustable.
Code: Select all
x = 22, y = 18, rule = B3/S23
14bo$12bobo$16bo$10b2o$16b2o$3o8bo$obo5b2o3b2o3bo$3o5b2o4bo$3o5b2obobo4b2o$3o
6bo$3o9bo7bo$obo8bo$3o7b2o2b2o4b2o$10b2obobo$10b2o3bobobo$17bo$10b4o$10bo2bo!
Code: Select all
x = 7, y = 7, rule = B3/S23
2o$o$b3o$3bo2$6bo$5b2o!
Depends:d/dx wrote: July 10th, 2024, 4:39 amHow do I stabilise the other eater head? Is it possible? (I'd like both of them to function as eater 1s)Code: Select all
x = 7, y = 7, rule = B3/S23 2o$o$b3o$3bo2$6bo$5b2o!
Code: Select all
x = 19, y = 7, rule = B3/S23
2o9b2o4b2o$o10bo3bo2bo$b3o8b5o$4bo$b2obo7b5o$b2obobo3bo2bo3bo$5b2o3b2o
4b2o!
d/dx wrote: July 10th, 2024, 4:39 amHow do I stabilise the other eater head? Is it possible? (I'd like both of them to function as eater 1s)Code: Select all
x = 7, y = 7, rule = B3/S23 2o$o$b3o$3bo2$6bo$5b2o!
Code: Select all
x = 12, y = 14, rule = B3/S23
bo$2bo$3o3$4b2o$4bo$5b3o$8bo$7b2o2$9b3o$9bo$10bo!!i really forgot about the INTEGRAL and my name is related DIRECTLY to CALCULUSpifricted wrote: July 10th, 2024, 4:50 amd/dx wrote: July 10th, 2024, 4:39 amHow do I stabilise the other eater head? Is it possible? (I'd like both of them to function as eater 1s)Code: Select all
x = 7, y = 7, rule = B3/S23 2o$o$b3o$3bo2$6bo$5b2o!Code: Select all
x = 12, y = 14, rule = B3/S23 bo$2bo$3o3$4b2o$4bo$5b3o$8bo$7b2o2$9b3o$9bo$10bo!!
The only one I could find on LifeWiki is Breeder 1, but there's probably a smaller one on the forums somewhere.
Here, in the Quadratic growth article of LifeWiki.shirAko wrote: July 10th, 2024, 2:46 pm Also, where can I find a list of smallest quadratic growth patterns?