Thread for basic questions

[Haycat2009]

Just a note: How are advancers possible, given that the max diagonal speed in vacuum is c/4, which is the glider’s speed?

[tommyaweosme]

the diagonal speed limit in life in a void is c/4, but advancers work because they are not a spaceship and not void

[b-engine]

Just a note: How are advancers possible, given that the max diagonal speed in vacuum is c/4, which is the glider’s speed?

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.

[dvgrn]

Just a note: How are advancers possible, given that the max diagonal speed in vacuum is c/4, which is the glider’s speed?

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.

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.

For example, it would be easy to adjust Entity Valkyrie's pseudo-Heisenburp device to achieve speeds approaching 2c/3.

[confocaloid]

[...] but many mechanisms actually being re-usable unlike a one-time advancer. [...]

A one-time advancer can be used as the core reaction of a reusable advancer.

For example, if there are additional sideways output gliders (or other versatile active objects), one can interpret the appearance of the sideways glider as a signal "need to rebuild the one-time advancer constellation", and route that signal through various conduits and converters into an engineered contraption whose functionality is rebuilding the one-time advancer constellation whenever the engineered contraption is asked to do so.

Even if there are no sideways output gliders, there may be sparks. Adding another still life can suffice to transform a spark into a moving reaction.

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!

[Haycat2009]

Are there any reusable advancers (including those that output on a different lane)

[Chris857]

Are there any reusable advancers (including those that output on a different lane)

It's periodic and takes LWSSes instead of gliders, but Star gate.

[confocaloid]

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.

Here is an old example of a reusable stable glider advancer:

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!

Rule:TripleLife:

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!

[Drelectron8]

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!

[confocaloid]

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!

I think LifeViewer requires a finite grid for strobing RuleLoader tables/trees, and Golly doesn't behave very nicely with such cellular automata, either.

Related discussion: viewtopic.php?f=11&t=3302 "RuleLoader's B0 handling quirks"

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

[pifricted]

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!

the first one means "S1e ( or S1 )".the second one is inpossible.

Code: Select all

x = 0,y = 0,rule = No
o!
@RULE No
@TABLE
n_states:2
neighborhood:Moore
symmetries:permute
0,0,0,0,0,0,0,0,0,1

"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 )

So we need 2 (or more states you want) states to make B0 ruletable or ruletree.

[Drelectron8]

So we need 2 (or more states you want) states to make B0 ruletable or ruletree.

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.

Please help!

[pifricted]

So we need 2 (or more states you want) states to make B0 ruletable or ruletree.

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.

Please help!

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)

[Haycat2009]

Is DyeLife a sort of Hybrid rule where red cells emulate B3c/S23 and so on?

[unname4798]

Is DyeLife a sort of Hybrid rule where red cells emulate B3c/S23 and so on?

No. Proof:

Code: Select all

#R DyeLife
AAA!

It evolves into:

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

[confocaloid]

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.)

Components that perform the same transformation but differ in the reaction / in clearance would fall into the same category.
Within a single category, there would be some way to group components into subcategories by the specific transformation (but still ignoring clearance and not distinguishing between different reactions that perform the same transformation).
Adding a boat-bit goes into the category (5, 0). Removing a boat-bit goes into the category (0, 5).

[...] 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 ?

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!

There are perhaps only a few thousands of elementary components. [...]

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):

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!

Roughly how many different synthesis components are currently known?

It depends on the criterias used to differentiate components. [...]
[...]
[...] 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.

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.

The following synthesis component goes into the category (4, 4) because 4 dead cells become alive and 4 alive cells become dead:

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 ...

And with this small conversion step, that stator variant has been reduced from 246 gliders down to only 82. Previous synth.

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!

[vilc]

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.)

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.

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.
A5.A6.2D4.2D169.D$200.D8.A5.A11.2D171.D8.A5.A8.2D174.D8.A5.A13.2D169.
D8.A5.A12.2D170.D8.A5.A11.2D171.D8.A5.A6.2D4.2D170.D8.A5.A13.2D169.D
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.
C.D25.2D147.D34.2A163.D44.A30.2A.3A42.3A73.D29.A169.D27.A15.2A154.D
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.
C.C19.C.C14.2A6.D4.2C16.2A3.2C11.2A3.C52.D199.D40.2A157.D199.D31.C4.
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.
D2.A.A100.D199.D199.D38.C160.D34.D.D162.D30.A168.D$200.D199.D199.D33.
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.
A25.3A39.A23.D199.D199.D199.D$200.D199.D199.D199.D36.A26.A135.D65.2A
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.
D199.D199.D34.2A17.A5.A2.A136.D26.2D9.A32.2D.2A2.3A12.2A.2A10.3A11.2A
.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.
D199.D$200.D199.D199.D199.D199.D199.D199.D199.D199.D$200.D199.D199.D
199.D199.D199.D199.D35.A163.D199.D$200.D199.D199.D199.D199.D199.D199.
D34.3A162.D199.D$200.D199.D199.D199.D199.D199.D199.D33.2A.A162.D199.D
$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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D199.D199.D38.2A70.A7.A80.D21.2C.C174.D33.A165.D199.D19.2A6.3A35.A6.
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.
D24.A.A172.D$200.D199.D199.D199.D199.D199.D199.D59.A139.D24.2A3.D169.
D$200.D199.D199.D199.D199.D25.3AD170.D199.D62.3A4.3A127.D21.A6.D.D.DC
165.D$200.D199.D199.D199.D199.D27.D.D3.A165.D199.D62.A6.A129.D22.2A4.
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
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This point of view can also allow to define a hierachy in the complexity of transformations (unrelated to the complexity of actually performing them) : the sum a+d, (or Hamming distance). Maybe we could try to enumerate synthesis components exhaustively by Hamming distance the same way we do for still-lifes by bit count.

However, I don't think that we will get very far in the understanding of components and transformations with this, because it is only a property of transformations and hides two things : the 2D layout of added and deleted bits and the context. The first is crucial because a different layout means that the transformations cannot be performed by the same reaction. The context looks more adjustable (that's the main idea behind the use of components), but that's only past a minimal radius of two cells or more. The following pattern shows an example of each possible context in a radius of 1 for the simplest transformations : changing one bit.

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!

Obviously, these are not as easy (or useful) to perform as each other... A full representation of a transformation should include a map of :

• cells that change from on to on/off to off/on
• on/off cells that must remain on/off during the reaction
• on/off cells that are allowed to change during the reaction but that must be restored
• unspecified cells (the reaction should work whatever these might be)

A representation of a feasible transformation should also include an infinite portion of the plane that is empty and connected to cells that should change by cells that we allow to be changed.

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.

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.

[hkoenig]

If you are going to attempt to catalog construction components, using the bit changes as your key is not enough. You're going to need something a bit finer. My catalog currently has over 2500 unique components, with sometimes as many as 20 variations. For example, there are currently 124 where the resulting object is five bits larger than the target object. For identification, you also want something that can be automated.

What I use is a signature/hashing that consists of three encodings: the bits that are changed, the bits in the original target bitlist, and the bits in the final result bitList. You do not encode the entire object bits, just those in the neighborhood of any cell that changes state (Rotor cells are considered to be "on"). A neighborhood consists of the 5x5 square with the corners removed. (Why? because those cells aren't affected by a change in the state of the central cell. Besides, doing it that way seems to work the way I want...)

I've found that the apgcode without the prefix (a "wcode") works as a good-enough hashcode encoding. This results in a string of three "wcode"s (apgcode without the prefix) separated by semicolons. For example, this one for adding a tail is "17;12;1784".

Code: Select all

x=10, y=11
2bo$obo$b2o4bo$7bobo$7b2o$5bo$4b2o$4bobo$bo$obo$2o!

From there, I can add the number of gliders and the number of generations needed, and that works to identify the component variant except in rare cases where there are two variants with the same number of gliders and generations.

Also, Glider collisions always start (gen = 0) with the last generation where the Gliders have not started to interact, the generation before the bitcount changes. That way the generations count is consistent.



I wasn't aware of that components_v4.rle file until mentioned last week, so I spent a day and separated out all the individual components. It appears that the basis for that file was scraped years ago from my old, dead server, which back then had about 300 components listed. Then several hundred more were added. The automated processing showed that there are lots of duplications and redundancies, and things I don't consider to be construction components. But also a fair number of new components that I need to add to my files. (When I have the time.)

[confocaloid]

edit: related links:
Synthesis component database
Updating Mark Niemiec's Database

[...] 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.

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.

edit 2: in this p60 oscillator, the pentadecathlon performs a transformation on a p2 oscillator. How would one handle such transformations/components?

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!

[d/dx]

Code: Select all

x = 7, y = 7, rule = B3/S23
2o$o$b3o$3bo2$6bo$5b2o!

How do I stabilise the other eater head? Is it possible? (I'd like both of them to function as eater 1s)

[confocaloid]

Code: Select all

x = 7, y = 7, rule = B3/S23
2o$o$b3o$3bo2$6bo$5b2o!

How do I stabilise the other eater head? Is it possible? (I'd like both of them to function as eater 1s)

Depends:

Code: Select all

x = 19, y = 7, rule = B3/S23
2o9b2o4b2o$o10bo3bo2bo$b3o8b5o$4bo$b2obo7b5o$b2obobo3bo2bo3bo$5b2o3b2o
4b2o!

For more, see Eater Welding Guide.

[pifricted]

Code: Select all

x = 7, y = 7, rule = B3/S23
2o$o$b3o$3bo2$6bo$5b2o!

How 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 = 12, y = 14, rule = B3/S23
bo$2bo$3o3$4b2o$4bo$5b3o$8bo$7b2o2$9b3o$9bo$10bo!!

[d/dx]

Code: Select all

x = 7, y = 7, rule = B3/S23
2o$o$b3o$3bo2$6bo$5b2o!

How 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 = 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 CALCULUS

[shirAko]

What are the smallest MSM breeders by bounding box? Also, where can I find a list of smallest quadratic growth patterns?

[squareroot12621]

What are the smallest MSM breeders by bounding box?

The only one I could find on LifeWiki is Breeder 1, but there's probably a smaller one on the forums somewhere.
Edit: I found this breeder from 2010, but it's about 70% larger than Breeder 1.

Also, where can I find a list of smallest quadratic growth patterns?

Here, in the Quadratic growth article of LifeWiki.