Stopbox

[b-engine]

This is a 3-state rule which is designed to have many catalysts.

LifeWiki page
Catagolue C1 census
Catagolue D8_1 census
Catagolue D8_4 census
Catagolue D2_+2 census
Catagolue D2_+1 census


Pseudorandom soup:

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#R Stopbox
!
[[ RANDOMIZE ]]

Basic pattern collection:

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x = 106, y = 43, rule = Stopbox
57.3B$57.2BA$57.3B$54.3B$54.BA$54.3B$31.3B$31.BAB$28.6B$12.3B13.BAB$12.
BA.2B11.3B$12.2B.AB$14.3B6$73.B26.B$37.3B32.BAB24.BAB$37.BAB33.B26.B$
37.3B$12.3B7.3B32.B4.3B19.B4.3B$12.BAB7.BAB31.BAB3.BAB18.BAB3.BAB$.B9.
B2.B7.3B14.3B15.B4.3B2.3B2.3B9.B4.3B2.3B2.3B$BAB8.BAB25.BAB25.BA3.BAB
19.2BA2.BAB$.B9.3B25.3B25.3B2.3B19.3B2.3B$62.B.B24.B.B$62.BAB24.BAB$62.
3B5.3B16.3B$70.BAB24.3B$70.B.B24.BAB$60.3B2.3B29.B.B$60.BAB3.AB19.3B2.
3B$60.3B2.3B2.3B4.B9.BAB2.A2B$70.BAB3.BAB8.3B2.3B2.3B4.B$70.3B4.B19.B
AB3.BAB$11.3B10.3B70.3B4.B$11.BA11.BAB34.B$11.3B10.3B33.BAB25.B$37.B5.
B17.B25.BAB$36.BAB3.BAB43.B$37.B5.B!

To do:
Omniperiodic
Turing complete
Find a non-c/2 spaceship
Find a diagonal spaceship
Construct a macro-spaceship

Terminologies:
Box: refer to the common 8-cell 3x3 c/2 orthogonal spaceship.

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x = 3, y = 3, rule = Stopbox
3B$BA$3B!

Dot: refer to the common 9-cell 3x3 still life.

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x = 3, y = 3, rule = Stopbox
3B$BAB$3B!

Cross (or flower): refer to the 5-cell 3x3 still life.

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x = 3, y = 3, rule = Stopbox
.B$BAB$.B!

Flesh: commonly arise from large or sparse soups. Large enough flesh would grow infinitely with help of rakes.


Apparently the 1800th thread. Why I picked those perfect moments to create a thread?

[b-engine]

Probably the smallest period 11 gun:

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x = 9, y = 21, rule = Stopbox
6.B$5.BAB$6.B13$6.3B$6.BAB$.B4.3B$BAB.3B$.B2.BAB$4.B.B!

[b-engine]

Accidental gun:

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x = 33, y = 19, rule = Stopbox
16.B$15.BAB$16.B3$3B12.3B12.3B$BA13.BAB13.AB$3B12.3B12.3B9$17.3B$17.B
AB$17.3B!

Once I get my computer and compile APGsearch for Stopbox, I will distribute the compiled APGsearch with C1 and D2 symmetries.


Bot idea: find some random soups in Catagolue every day, and post them along with their basic information here.

[confocaloid]

Is there a still-life that is both constructible (from a collision of "boxes") and destructible (by hitting it with "boxes")?

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x = 84, y = 23, rule = Stopbox
37.3B$37.3B$37.BAB5$3B78.3B$2BA78.A2B$3B78.3B2$67.B$66.BAB$67.B$79.3B
$80.AB$79.3B2$12.BAB$12.3B$12.3B21.BAB$36.3B$36.3B!

Here is a highway-robbing 90-degree reflector, there might be a faster one:

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x = 64, y = 10, rule = Stopbox
6.3B$6.BA4B$3B3.4BAB$BAB6.3B$3B2$14.3B44.3B$14.A2B20.3B21.A2B$14.3B
21.AB21.3B$37.3B!

Do you have any ideas for "exploration targets" in this CA? I'm not sure if this forum thread is likely to get many contributions from other people.

[b-engine]

Do you have any ideas for "exploration targets" in this CA? I'm not sure if this forum thread is likely to get many contributions from other people.

Stopbox is omniperiodic, (very likely) Turing complete and has many box-constructible patterns.

The current goal is to find a spaceship slower than c/2, and a diagonal spaceship - in fact c/2 is currently the only known speed, and every c/2 spaceships must be made of boxes.

Once I'm on my computer, I'll compile APGsearch for Stopbox.


EDIT:

Here is a highway-robbing 90-degree reflector, there might be a faster one:

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x = 64, y = 10, rule = Stopbox
6.3B$6.BA4B$3B3.4BAB$BAB6.3B$3B2$14.3B44.3B$14.A2B20.3B21.A2B$14.3B
21.AB21.3B$37.3B!

This is the second smallest known highway robber:

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x = 69, y = 10, rule = Stopbox
3B$BAB$3B4.3B$7.BAB$7.3B2$20.3B$21.AB20.3B20.3B$20.3B21.AB21.AB$43.3B
20.3B!
 

The smallest highway robber is simply a dot - the first dot that "robs" the box.

Highway robbers are very easy to construct via this way, due to the nature of boxes and dots.

Heisenburp devices are easily constructed; in this example the box creates sparks to activate a reaction that creates another box, but the box isn't actually affected:

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x = 28, y = 16, rule = Stopbox
26.B$25.BAB$26.B$21.3B$17.B3.BAB$16.BAB2.3B$17.B2$3B$BA$3B3$3B$BA$3B!

[confocaloid]

p23 gun shooting a certain p4 spaceship (made to show a way of constructing that spaceship):

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x = 27, y = 41, rule = Stopbox
17.B$16.BAB$4.3B10.B$4.BAB$3.5B8.3B.3B$4.A.A9.2BA.BAB$.B.2B.2B8.3B.3B
$BAB.3B$.B7$18.3B$2.3B.3B8.2B.2B$2.BAB.A2B9.A.A$2.3B.3B8.5B$18.BAB4.B
$18.3B3.BAB$18.BAB4.B$2.3B.3B8.5B$2.BAB.A2B9.A.A$2.3B.3B8.2B.2B$18.3B
7$.B$BAB.3B$.B.2B.2B8.3B.3B$4.A.A9.2BA.BAB$3.5B8.3B.3B$4.BAB$4.3B10.B
$16.BAB$17.B!

[b-engine]

Three basic logic gates could be constructed using ANDNOT gates.

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NOT A = 1 ANDNOT A
A AND B = A ANDNOT ( 1 ANDNOT B )
A OR B = 1 ANDNOT ( ( 1 ANDNOT A ) ANDNOT B )

Therefore:

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x = 36, y = 114, rule = Stopbox
9.3B6.3B$9.BA7.B$9.3B6.3B$21.B.B$21.B.B$21.3B6$19.3B$19.BAB$19.3B$19.
3BAB$19.BAB.B$19.3B.B$19.3B$19.BAB$19.3B2$21.B$20.BAB$21.B7$23.B$22.B
AB$23.B8$.3B15.3B$.BA16.B$.3B15.3B.B$21.BAB$21.3B5$10.3B6.3B$10.BA7.B
$10.3B6.3B.B$21.BAB$21.3B6$19.3B$19.BAB$19.3B$19.3BAB$19.BAB.B$19.3B.
B$19.3B$19.BAB$19.3B2$21.B$20.BAB$21.B10$7.3B8.3B$.B7.A8.BA$BAB.9B5.3B
$.B2.BA2BA2BAB8.B.B$4.9B8.BAB$21.3B4$9.3B6.3B3.3B6.3B$9.BA7.B7.B7.AB$
9.3B6.3B3.3B6.3B$21.B.B$21.BAB$21.3B6$23.3B$23.BAB$23.3B$21.BA3B$21.B
.BAB$21.B.3B$23.3B$23.BAB$23.3B2$23.B$22.BAB$23.B!
 

This proves Stopbox Turing complete via a predicted computer, like Conway's Life or Eppstein.

[hotcrystal0]

Should this thread be for StopBoxINT as well?

[b-engine]

Should this thread be for StopBoxINT as well?

No - in fact I won't allow Stopbox variants to appear here.

[unname4798]

Is there a thread for Stopbox variants?

[b-engine]

Is there a thread for Stopbox variants?

No, but I normally post modifications of Stopbox in my rules thread.

[b-engine]

Oops, the previous OR gate I posted uses an elementary reaction that's nor ANDNOT. This is the correct gate (although larger):

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x = 44, y = 42, rule = Stopbox
7.3B8.3B$.B7.A8.BA$BAB.9B5.3B$.B2.BA2BA2BAB8.B.B$4.9B8.BAB$21.3B4$24.
3B14.3B$26.B15.AB$17.B6.3B14.3B$16.BAB2.B.B$17.B3.BAB$21.3B4$24.3B6.3B
$26.B7.AB$24.3B6.3B$21.B.B$21.BAB$21.3B6$23.3B$23.BAB$23.3B$21.BA3B$21.
B.BAB$21.B.3B$23.3B$23.BAB$23.3B2$23.B$22.BAB$23.B!

[confocaloid]

1-tick advancer:

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x = 65, y = 28, rule = Stopbox
37.A3$63.B$24.A37.BAB$18.A44.B$38.A$53.B$52.BAB2.5B$53.B3.BABAB$57.5B
$3B7.3B$2BA7.BA14.A$3B7.3B17.A$36.A10.A2.A2.A2.A4$25.A7$3B7.3B$2BA7.B
A$3B7.3B!

[b-engine]

1-tick advancer:

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Smaller 1-tick advancer:

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x = 43, y = 21, rule = Stopbox
10.3B$10.BAB$10.3B27.3B$40.2B$3B15.16B6.3B$BA16.BA2BA2BA2BABABAB$3B15.
16B12$3B37.3B$BA38.B$3B37.3B!
 

EDIT:

p59:

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x = 9, y = 23, rule = Stopbox
3B$BAB$B.B2$4.B$3.BAB$4.B10$4.B$3.BAB$4.B2$6.B.B$6.BAB$6.3B!

[b-engine]

Strange p2:

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x = 9, y = 9, rule = Stopbox
3BA.A3B$BAB3.BAB$3B3.3B$A3.B3.A$3.BAB$A3.B3.A$3B3.3B$BAB3.BAB$3BA.A3B!

[confocaloid]

Is there a still-life that is both constructible (from a collision of "boxes") and destructible (by hitting it with "boxes")?

Code: Select all

x = 84, y = 23, rule = Stopbox
37.3B$37.3B$37.BAB5$3B78.3B$2BA78.A2B$3B78.3B2$67.B$66.BAB$67.B$79.3B
$80.AB$79.3B2$12.BAB$12.3B$12.3B21.BAB$36.3B$36.3B!

[...]

So far I can't seem to find any still-life that is both constructible and destructible. It might be necessary to resort to periodic stationary technology for "destructible" box reflectors, box duplicators, and so on. Is there a p22 box duplicator using this oscillator?

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x = 127, y = 37, rule = Stopbox
91.3B$91.BAB$91.B.B4$54.3B$54.BAB$54.B.B4$124.3B$124.3B$124.BAB15$
117.3B$31.3B24.3B26.3B27.A$32.AB24.A28.A29.3B2.3B$31.3B24.3B2.3B21.3B
2.3B22.A2B2.2BA$58.A2B2.2BA21.A2B2.2BA22.3B2.3B$3B55.3B2.3B21.3B2.3B
29.A$BA63.A28.A27.3B$3B60.3B26.3B!

[b-engine]

Period 41 oscillator from Catagolue D8_1 census:

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x = 33, y = 33, rule = Stopbox
11.3B5.3B$11.BAB5.BAB$11.3B.3B.3B$15.BAB$15.3B2$12.3B3.3B$12.BAB3.BAB
$12.3B3.3B3$3B27.3B$BAB3.3B15.3B3.BAB$3B3.BAB15.BAB3.3B$6.3B15.3B$2.3B
23.3B$2.BAB23.BAB$2.3B23.3B$6.3B15.3B$3B3.BAB15.BAB3.3B$BAB3.3B15.3B3.
BAB$3B27.3B3$12.3B3.3B$12.BAB3.BAB$12.3B3.3B2$15.3B$15.BAB$11.3B.3B.3B
$11.BAB5.BAB$11.3B5.3B!

This is the first ever p46 oscillator to appear in any Catagolue census:

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x = 26, y = 26, rule = Stopbox
12.3B$13.AB$2.3B7.3B$2.BAB$2.3B7.3B$12.BAB$12.3B5$19.3B.3B$B.B.3B12.B
AB.BAB$BAB.BAB12.3B.B.B$3B.3B5$11.3B$11.BAB$11.3B7.3B$21.BAB$11.3B7.3B
$11.BA$11.3B!

Reduced:

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x = 22, y = 22, rule = Stopbox
12.3B$13.AB$2.3B7.3B$2.BAB15.B$2.3B7.3B4.BAB$12.BAB5.B$12.3B6$B.B.3B$
BAB.BAB$3B.3B5$4.B$3.BAB$4.B!

EDIT:
Period 47 from D2_x:

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x = 17, y = 17, rule = Stopbox
10.4B$10.BABA.2B$10.4B.AB$7.2B.B3.3B$7.BA.BABA$5.4BA3B$5.BAB$3.5B$3.B
AB$5.A$6B$BAB.AB$3B.2B$BAB.A$3.B$.BAB$.3B!

[LaundryPizza03]

Reduced [p46]:

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x = 22, y = 22, rule = Stopbox
12.3B$13.AB$2.3B7.3B$2.BAB15.B$2.3B7.3B4.BAB$12.BAB5.B$12.3B6$B.B.3B$
BAB.BAB$3B.3B5$4.B$3.BAB$4.B!

Even smaller:

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x = 12, y = 27, rule = Stopbox
2.B$.BAB$2.B5$2.3B$2.BAB5.B$2.3B4.BAB$10.B7$B.B.3B$BAB.BAB$3B.3B5$4.B
$3.BAB$4.B!

EDIT: Minimal form?

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x = 9, y = 23, rule = Stopbox
2.B$.BAB$2.B$2.3B$2.BAB2.B$2.3B.BAB$7.B7$B.B.3B$BAB.BAB$3B.3B5$4.B$3.
BAB$4.B!

Also, there are similar p43 and p40:

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x = 9, y = 20, rule = Stopbox
2.B$.BAB$2.B$2.3B$2.BAB2.B$2.3B.BAB$7.B7$4.3B$4.BAB$B.B.3B$BAB$B.B.B$
3.BAB$4.B!

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x = 9, y = 19, rule = Stopbox
2.B$.BAB$2.B$2.3B$2.BAB2.B$2.3B.BAB$7.B7$4.3B$B.B.BAB$BAB.3B$B.B.B$3.
BAB$4.B!

[b-engine]

P20-powered 4c/8 gun, and an eater for the spaceships:

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x = 51, y = 24, rule = Stopbox
10.3B25.3B$10.BAB25.BAB$10.3B9.3B13.3B$22.BAB$.3B18.3B22.4B$.2AB43.B2.
A$4B43.4B$B2A44.A2.B$3B44.4B13$22.B$21.BAB$22.B!

EDIT:
The first semi-natural spaceship that's not period 2^n:

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x = 16, y = 9, rule = Stopbox
3B$BA$3B2.3B.3B$5.BA2.2BA$3.5B.3B$3.A2.A6.3B$3.4B.3B2.2BA$8.2BA2.3B$8.
3B!

Catagolue

[confocaloid]

[...] The first semi-natural spaceship that's not period 2^n: [...]

It can reflect a box 180 degrees (with 2-cell lane difference), it can delay a box by 13, 14 or 15 ticks, and it can duplicate a box, all without permanent change or damage to the spaceship. I don't know if this would be useful for something, though, since a box cannot catch up to the spaceship of the same speed moving in the same direction:

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x = 54, y = 88, rule = Stopbox
3B$BA$3B2.3B.3B$5.BA2.2BA$3.5B.3B$3.A2.A6.3B$3.4B.3B2.2BA$8.2BA2.3B$
8.3B12$3B$BA$3B2.3B.3B$5.BA2.2BA$3.5B.3B$3.A2.A6.3B$3.4B.3B2.2BA$8.2B
A2.3B$8.3B11$3.BAB$3.3B$3.3B9$15.B.B$15.BAB$15.3B10$27.BAB$27.3B$27.
3B9$39.B.B$39.BAB$39.3B10$51.BAB$51.3B$51.3B!

[b-engine]

Rakes are common, and boxes could annihilate or eat other boxes, therefore it's possible for such spaceship made of these components to appear in Catagolue.

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x = 41, y = 20, rule = Stopbox
3B$BA$3B11$18.3B$18.BA14.3B$18.3B13.BA$34.3B$36.A.3B$38.BA$38.3B!

However no known spaceships with period above 12 had occurred.

EDIT:
Fixed the RLE.

-


This semi-natural p75 has a semi-natural tetramer, both from D8_1 census:

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x = 14, y = 14, rule = Stopbox
.3B$.BAB$.3B$2A3$3B$BAB$3B2$11.3B$5.3B3.BAB$5.BAB2.A3B$5.3B2.A!

EDIT 2:
The D8_1 census reached the 30 million objects milestone! Thanks to the sole contribution of myself.

EDIT 3:

So far I can't seem to find any still-life that is both constructible and destructible. It might be necessary to resort to periodic stationary technology for "destructible" box reflectors, box duplicators, and so on.

Similar period-20 technologies are possible and easier, provided that p20 oscillators are more common, easier to construct, and smaller. These are the reactions between a box and a p20:

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#C 1. Eating a box
#C 2. Shift a box 4 cells towards the catalyst
#C 3. Eating a box, but produce a spark with more clearance
#C 4. Reflecting a box 180°
x = 79, y = 31, rule = Stopbox
66.3B$66.3B$3B20.3B40.BAB$BAB20.3B$B.B20.BAB19.3B$45.3B$45.BAB20$9.3B
20.3B19.3B18.3B$9.B2A20.B2A19.B2A18.B2A$9.4B19.4B18.4B17.4B$10.2AB20.
2AB19.2AB18.2AB$10.3B20.3B19.3B18.3B!
 

[confocaloid]

[...] Similar period-20 technologies are possible and easier, provided that p20 oscillators are more common, easier to construct, and smaller. These are the reactions between a box and a p20: [...]

Here is a statorless p80 box loop with five boxes and four p20 90-degree reflectors. The reflector (found while looking for a box duplicator) is "strange" in in that one of two boxes from which it's made participates in a 2-to-2 reaction with the incoming box (and is replaced by a new box from the 2-to-2 reaction):

Code: Select all

x = 79, y = 79, rule = Stopbox
62.B.B.B$62.B3.B$62.5B$64.3B$64.BAB7$62.BAB$5B8.3B17.3B26.3B$2.2BA8.B
19.2BA26.5B$B.3B6.3B.B17.3B26.B3.B$2.B8.A2B48.B.B.B$3B8.5B7$64.3B$64.
3B$64.BAB8$12.BAB$12.3B$12.3B27$66.2B8.3B$12.B.B.B50.A8.B$12.B3.B6.3B
37.5B6.3B.B$12.5B6.A2B37.A2B8.A2B$14.3B6.3B37.3B8.5B$14.BAB7$12.BAB$
12.3B$12.5B$12.B3.B$12.B.B.B!

[b-engine]

Here is a statorless p80 box loop with five boxes and four p20 90-degree reflectors. The reflector (found while looking for a box duplicator) is "strange" in in that one of two boxes from which it's made participates in a 2-to-2 reaction with the incoming box (and is replaced by a new box from the 2-to-2 reaction):
...

Technically you could say that the box in the p20 that participated in the two-to-two reaction is swapped with the incoming box.

The p20 and p22 produces this spark (shown below, ignoring the box produced in generation 6), and the box produced before the spark dissipate is the reason why they exist.

Code: Select all

x = 3, y = 4, rule = Stopbox
A$3B$BA$3B!

[confocaloid]

[...] The reflector (found while looking for a box duplicator) [...]

More p20 components, including several 90-degree box reflectors, several box duplicators with two 90-degree outputs, 180-degree box reflectors, and a spark-producing interaction:

Code: Select all

x = 297, y = 143, rule = Stopbox
142.3B$142.3B$142.BAB8$172.3B$172.3B$172.BAB8$202.3B$202.3B$202.BAB2$
135.3B$135.ABA$135.6B$138.ABA$138.3B2$232.3B$232.3B$232.BAB2$175.3B$
175.ABA$172.6B$172.ABA$172.3B$78.3B$78.3B181.3B$78.BAB181.3B$262.BAB
6$204.3B$205.AB$12.3B27.3B27.3B124.3B2.3B85.3B$12.3B27.3B27.3B124.BA
91.3B$12.BAB27.BAB27.BAB124.3B90.BAB6$234.3B$78.3B153.A2B$78.3B148.3B
2.3B$78.BAB148.2BA$229.3B2$258.3B$258.ABA$255.6B$255.ABA$255.3B6$285.
6B$285.A2.2BA$283.8B$283.A2B2.A$283.6B4$2.3B2.3B23.5B25.3B$2.A4.BA24.
2ABA26.B2A$10B20.8B25.4B$.AB4.A23.AB2A29.2AB$3B2.3B22.5B29.3B4$232.3B
$232.3B$232.BAB8$262.3B$262.3B$262.BAB8$292.3B$292.3B$292.BAB6$228.3B
$228.BA$228.3B4.3B$236.AB$235.3B6$258.3B$258.2BA$258.3B4.3B$265.A2B$
265.3B6$289.3B$289.BA$289.3B2.3B$295.AB$294.3B!

[b-engine]

Pseudorandom gun powered by a "replicator in a tube":

Code: Select all

x = 52, y = 11, rule = Stopbox
50B$BA2BA2BA2BA2BA2BA2BA2BA2BA2BA2BA2BA2BA2BA2BA2BABAB$50B2$23.A$48B.
2B$BA2BA2BA2BA2BA2BA2BA2BA2BA2BA2BA2BA2BA2BA2BA2BAB.AB$48B.2B$49.3B$49.
BAB$49.3B!

EDIT:
This is a trivial p176 found in a D8_1 soup (from Catagolue):

Code: Select all

x = 31, y = 31, rule = Stopbox
10.3B5.3B$10.BAB5.BAB$10.B2.B3.B2.B$11.BAB3.BAB$7.3B.3B3.3B.3B$7.BAB11.
BAB$7.3B3.5B3.3B$4.3B7.BAB7.3B$4.BAB7.3B7.BAB$4.3B17.3B$3B25.3B$BA.2B
7.3B.3B7.2B.AB$2B.AB6.2BAB.BA2B6.BA.2B$2.3B.B4.BA5.AB4.B.3B$6.3B2.2B.
3B.2B2.3B$6.BAB5.BAB5.BAB$6.3B2.2B.3B.2B2.3B$2.3B.B4.BA5.AB4.B.3B$2B.
AB6.2BAB.BA2B6.BA.2B$BA.2B7.3B.3B7.2B.AB$3B25.3B$4.3B17.3B$4.BAB7.3B7.
BAB$4.3B7.BAB7.3B$7.3B3.5B3.3B$7.BAB11.BAB$7.3B.3B3.3B.3B$11.BAB3.BAB
$10.B2.B3.B2.B$10.BAB5.BAB$10.3B5.3B!
 

Decomposed into a p16 and a p22:

Code: Select all

x = 46, y = 27, rule = Stopbox
28.3B3.3B$28.BAB3.BAB$24.3B.3B3.3B.3B$24.BAB11.BAB$24.3B3.5B3.3B$21.3B
7.BAB7.3B$21.BAB7.3B7.BAB$.3B17.3B17.3B$.BAB$B2.B15.3B7.3B.3B7.3B$BAB
16.BAB6.2BAB.BA2B6.BAB$3B.3B12.3B.B4.BA5.AB4.B.3B$4.BAB16.3B2.2B.3B.2B
2.3B$4.3B16.BAB5.BAB5.BAB$7.3B13.3B2.2B.3B.2B2.3B$7.BAB9.3B.B4.BA5.AB
4.B.3B$7.3B9.BAB6.2BAB.BA2B6.BAB$11.3B5.3B7.3B.3B7.3B$9.2B.AB$9.BA.2B
7.3B17.3B$9.3B9.BAB7.3B7.BAB$21.3B7.BAB7.3B$24.3B3.5B3.3B$24.BAB11.BA
B$24.3B.3B3.3B.3B$28.BAB3.BAB$28.3B3.3B!

EDIT 2: Apparently the D8_1 census had reached beyond the milestone of 60 million objects.