## Rules 1 transition from Life

For discussion of other cellular automata.
Hdjensofjfnen
Posts: 1521
Joined: March 15th, 2016, 6:41 pm
Location: r cis θ

### Rules 1 transition from Life

This thread is for rules that are 1 transition from Life and are notable.

Examples:
B38/S23 (Pedestrian Life)
B37e/S23 (retains DryLife's mechanics without being explosive)
B35a/S23 (has an 8c/28o ship)
B34c/S23 (has a 46c/220o puffer)
B3-e/S23 (has a 15c/59o puffer, a breeder, and a c/14 diagonal)
B3/S23-q (has a sparky natural p6 and a bipole-like p4)
B3/S23-c (has a 9c/30 puffer)
B3/S23-j (has two c/2 ships, but no glider, and a bunch of integrals)
B3/S23-e (has a longboat-like p6)

Last edited by Hdjensofjfnen on August 26th, 2018, 8:42 pm, edited 5 times in total.
"A man said to the universe:
'Sir, I exist!'
'However,' replied the universe,
'The fact has not created in me
A sense of obligation.'" -Stephen Crane

Code: Select all

``````x = 7, y = 5, rule = B3/S2-i3-y4i
4b3o\$6bo\$o3b3o\$2o\$bo!
``````

Hunting
Posts: 3064
Joined: September 11th, 2017, 2:54 am

### Re: Rules 1 transition from Life

Hdjensofjfnen wrote:This thread is for rules that are 1 transition from Life and are notable.

Rules (will add as we go along):
B38/S23 (Pedestrian Life)
B37e/S23
B35a/S23
B34c/S23
B3-e/S23
B3/S23-q
B3/S23-c
Okay... B3/S23-e...
MLP will live on forever, so does John Horton Conway.
Moosey wrote:
February 5th, 2019, 7:51 pm
“New knightship tagalong!”
“Quick, hide it!”
My TODO list

LeapLife - DirtyLife - LispLife

I could make a rule in ten seconds flat

77topaz
Posts: 1497
Joined: January 12th, 2018, 9:19 pm

### Re: Rules 1 transition from Life

B3-e/S23 also has a natural breeder:

Code: Select all

``````x = 16, y = 16, rule = B3-e/S23
o2b3obob2obo2bo\$3obobobo4bo\$3b2o2bobob4o\$2o2b5ob2o2bo\$b2obo4bo2bobo\$b
3obo2b5obo\$4o3b4o2bo\$3o2bob2obo\$b3ob2o2b2o3bo\$3b5o\$4ob3obob4o\$3o4b3ob
2ob2o\$3bobo2bobo2b3o\$ob3o2b2o2bob3o\$2o4b2o2bob2o\$bo5b3o3bobo!
``````

Gamedziner
Posts: 796
Joined: May 30th, 2016, 8:47 pm
Location: Milky Way Galaxy: Planet Earth

### Re: Rules 1 transition from Life

77topaz wrote:B3-e/S23 also has a natural breeder:

Code: Select all

``````x = 16, y = 16, rule = B3-e/S23
o2b3obob2obo2bo\$3obobobo4bo\$3b2o2bobob4o\$2o2b5ob2o2bo\$b2obo4bo2bobo\$b
3obo2b5obo\$4o3b4o2bo\$3o2bob2obo\$b3ob2o2b2o3bo\$3b5o\$4ob3obob4o\$3o4b3ob
2ob2o\$3bobo2bobo2b3o\$ob3o2b2o2bob3o\$2o4b2o2bob2o\$bo5b3o3bobo!
``````
That pattern also produces a c/14 diagonal:

Code: Select all

``````x = 5, y = 3, rule = B3-e/S23
2o\$b2o\$2b3o!``````

Code: Select all

``````x = 81, y = 96, rule = LifeHistory
58.2A\$58.2A3\$59.2A17.2A\$59.2A17.2A3\$79.2A\$79.2A2\$57.A\$56.A\$56.3A4\$27.
A\$27.A.A\$27.2A21\$3.2A\$3.2A2.2A\$7.2A18\$7.2A\$7.2A2.2A\$11.2A11\$2A\$2A2.2A
\$4.2A18\$4.2A\$4.2A2.2A\$8.2A!
``````

77topaz
Posts: 1497
Joined: January 12th, 2018, 9:19 pm

### Re: Rules 1 transition from Life

Gamedziner wrote:That pattern also produces a c/14 diagonal:

Code: Select all

``````x = 5, y = 3, rule = B3-e/S23
2o\$b2o\$2b3o!``````
There's also a natural 2c/11 diagonal:

Code: Select all

``````x = 6, y = 5, rule = B3-e/S23
2o3bo\$6o\$bo\$2bobo\$2b3o!
``````

jimmyChen2013
Posts: 135
Joined: December 11th, 2017, 3:28 am

### Re: Rules 1 transition from Life

failed replicator produces 4 12c/30 puffers:

Code: Select all

``````x = 3, y = 3, rule = B34w/S23
bo\$3o\$bo!
``````
Failed Replicator!

Code: Select all

``````x = 4, y = 4, rule = B34ce5cen67c8/S2-i3-jqry4cent5j67c8
bo\$obo\$bobo\$2bo!
``````
(That I wish was not failed D:)

77topaz
Posts: 1497
Joined: January 12th, 2018, 9:19 pm

### Re: Rules 1 transition from Life

Yeah, that failedrep-puffer comes from the traffic light sequence, and so it's common enough that it causes the rule to become explosive.

Posts: 571
Joined: May 7th, 2016, 8:53 am
Contact:

### Re: Rules 1 transition from Life

It is widely known that Highlife's replicator works in

Code: Select all

``````x = 4, y = 4, rule = B36n/S23
b3o\$o\$o\$o!
``````
[APPEND #1]

And bomber works, too:

Code: Select all

``````x = 7, y = 11, rule = B36n/S23
2b2o\$3b2o\$ob2o\$3o\$bo6\$4b3o!
``````

77topaz
Posts: 1497
Joined: January 12th, 2018, 9:19 pm

### Re: Rules 1 transition from Life

Interestingly, though, despite the replicator and bomber still working in B36n/S23, their evolution is slightly different than in B36/S23, so much that the respective bombers don't even have the same apgcode.

2718281828
Posts: 738
Joined: August 8th, 2017, 5:38 pm

### Re: Rules 1 transition from Life

In B3/S235r the pi is a 9/30c orthogonal puffer:

Code: Select all

``````x = 3, y = 3, rule = B3/S235r
3o\$2bo\$3o!``````
as in B3/S23-c, but looks more like the puffer-fish in life.

Edit1:
In B34w/S23 there is a 12/30c orth. puffer, but based on a traffic light:

Code: Select all

``````x = 23, y = 32, rule = B34w/S23
\$2o\$2o\$9bo\$8b3o\$7b4o\$6b2o2\$7bo\$7b2o\$6bo2bo3bo\$7b2o4bo\$9bo4b2o3\$20b2o\$
13b2o5b3o\$20b2o3\$9bo4b2o\$7b2o4bo\$6bo2bo3bo\$7b2o\$7bo2\$6b2o\$7b4o\$8b3o\$9b
o\$2o\$2o!
``````
Edit2:
B3/S023 has a p20, c/2-orthorgonal ship:

Code: Select all

``````x = 9, y = 5, rule = B3/S023
bobo\$6b2o\$o5bobo\$8bo\$b3o2b3o!
``````

KittyTac
Posts: 533
Joined: December 21st, 2017, 9:58 am

### Re: Rules 1 transition from Life

2718281828 wrote:In B3/S235r the pi is a 9/30c orthogonal puffer:

Code: Select all

``````x = 3, y = 3, rule = B3/S235r
3o\$2bo\$3o!``````
as in B3/S23-c, but looks more like the puffer-fish in life.

Edit1:
In B34w/S23 there is a 12/30c orth. puffer, but based on a traffic light:

Code: Select all

``````x = 23, y = 32, rule = B34w/S23
\$2o\$2o\$9bo\$8b3o\$7b4o\$6b2o2\$7bo\$7b2o\$6bo2bo3bo\$7b2o4bo\$9bo4b2o3\$20b2o\$
13b2o5b3o\$20b2o3\$9bo4b2o\$7b2o4bo\$6bo2bo3bo\$7b2o\$7bo2\$6b2o\$7b4o\$8b3o\$9b
o\$2o\$2o!
``````
Edit2:
B3/S023 has a p20, c/2-orthorgonal ship:

Code: Select all

``````x = 9, y = 5, rule = B3/S023
bobo\$6b2o\$o5bobo\$8bo\$b3o2b3o!
``````
The first one looks more like a pi explosion rather than a pufferfish.

2718281828
Posts: 738
Joined: August 8th, 2017, 5:38 pm

### Re: Rules 1 transition from Life

KittyTac wrote: The first one looks more like a pi explosion rather than a pufferfish.
Yes, of course it is a pi explosion, but I the two blocks that are left behind are the similar to the pufferfish.

Some more ships for B3/S023 (life0):

Code: Select all

``````x = 187, y = 41, rule = B3/S023
3\$8b3o10bo7bo15bo3bo51b3o\$7bo2bo9b3o5b3o13b3ob3o52bo33bo7bo9b2o6b2o11b
2o\$7b2obo9bob2o3b2obo12b2obobob2o15bo5bo14bo13bo33bobo5bobo7b4o4b4o9b
4o\$21b3o3b3o12b2o7b2o13b4ob4o13bo46b2ob2o3b2ob2o6b2o2b4o2b2o\$21b2o5b2o
13bo7bo13bo3bobo3bo11bobo24b2o8b2o9bo2b2o3b2o2bo9bob2obo11b6o\$6bo3bo
14bo16b2o7b2o15b2ob2o41b3o6b3o11b3obob3o9b2obo2bob2o10b4o\$10bo7b3o2bo
3bo2b3o7b2obobo3bobob2o32bobo24bo2bo4bo2bo\$6bo3bo7b2o11b2o8bobob2ob2ob
obo34bo29bo2bo13bob2o5b2obo10bo2bo12b2o2b2o\$8bo14bo3bo10b2obo2bobobobo
2bob2o30b3o24bobob4obobo12b2o3b2o27b2obo2bob2o\$38b2obob2obobob2obob2o
29b2ob2o25bo6bo16bobo32bo2bo\$23b5o10bo2bo4bobo4bo2bo29b2ob2o24b3o4b3o
14b2ob2o\$22bo2bo2bo8b2o2bob2obobob2obo2b2o57b3ob2ob3o\$21b3o3b3o146b2o\$
20bo3b3o3bo86bo4bo53b2o\$20bo2bo3bo2bo\$19b2obob3obob2o87b2o\$22b2o3b2o
89bo2bo\$19b3o3bo3b3o86b4o\$19bo5bo5bo85bo4bo\$117bo4bo\$21b2o5b2o89b2o\$
116b2o4b2o\$117bo4bo\$116b2ob2ob2o\$117bob2obo\$116bo6bo\$116bo6bo\$114bo10b
o\$113bo2bo6bo2bo2\$112bo2bob2o2b2obo2bo\$115b2o6b2o2\$112bobo10bobo\$117bo
4bo\$116b2o4b2o\$115bo8bo\$114b2o8b2o!
``````
Next to the glider (and clearly 70P2H1V0.1), also the copperhead works. And we have quite small c/3 and c/4 ships.

Hdjensofjfnen
Posts: 1521
Joined: March 15th, 2016, 6:41 pm
Location: r cis θ

### Re: Rules 1 transition from Life

2718281828 wrote: Edit1:
In B34w/S23 there is a 12/30c orth. puffer, but based on a traffic light:

Code: Select all

``````x = 23, y = 32, rule = B34w/S23
\$2o\$2o\$9bo\$8b3o\$7b4o\$6b2o2\$7bo\$7b2o\$6bo2bo3bo\$7b2o4bo\$9bo4b2o3\$20b2o\$
13b2o5b3o\$20b2o3\$9bo4b2o\$7b2o4bo\$6bo2bo3bo\$7b2o\$7bo2\$6b2o\$7b4o\$8b3o\$9b
o\$2o\$2o!
``````
jimmychen2013 just posted that. Look up!

EDIT: Puffer that makes the rule explosive:

Code: Select all

``````x = 3, y = 3, rule = B3/S234y
b2o\$2o\$bo!
``````
Failed replicator, if you can call it that:

Code: Select all

``````x = 3, y = 3, rule = B3/S234z
3o\$obo\$obo!
[[ STOP 49 ]]
``````
I was surprised to learn that this rule wasn't explosive because of these two reactions:

Code: Select all

``````x = 14, y = 4, rule = B35y/S23
bo10bo\$obo8bobo\$obo8bobo\$12bo!
``````
Instead, just a lot of blinkers and long barges, thanks to this:

Code: Select all

``````x = 4, y = 3, rule = B35y/S23
b2o\$o2bo\$3o!
``````
Last edited by Hdjensofjfnen on August 25th, 2018, 1:25 pm, edited 1 time in total.
"A man said to the universe:
'Sir, I exist!'
'However,' replied the universe,
'The fact has not created in me
A sense of obligation.'" -Stephen Crane

Code: Select all

``````x = 7, y = 5, rule = B3/S2-i3-y4i
4b3o\$6bo\$o3b3o\$2o\$bo!
``````

77topaz
Posts: 1497
Joined: January 12th, 2018, 9:19 pm

### Re: Rules 1 transition from Life

B36c/S23 has this small 2c/14 spaceship:

Code: Select all

``````x = 4, y = 4, rule = B36c/S23
3o\$o2bo2\$b3o!
``````
B36k/S23 has this p114 oscillator:

Code: Select all

``````x = 7, y = 14, rule = B36k/S23
2bo\$bobo\$bobo\$2bo2\$3o\$3o\$o2bo\$2b3o\$2b3o\$3bobo\$3b2obo2\$4bo!
``````
EDIT: In B35j/S23, there are numerous natural puffers:

Code: Select all

``````x = 16, y = 16, rule = B35j/S23
2ob2o6b2obo\$2bob3o2bo2bo\$obobo2b5o\$2b2o2b3o4bobo\$o2b6obobob2o\$bo2bobo
5b2obo\$obo2b3o3b3obo\$bo2bo3b3o\$o2bob2o2b5obo\$bo3b2o3b4obo\$3ob2ob3o2bob
o\$4ob2ob2obob2o\$2obob3o7bo\$b2obobob2o4b2o\$o2bo5bo4b2o\$3bo2bo2bo4bo!
``````
These next three have the same engine, but different trails:

Code: Select all

``````x = 16, y = 16, rule = B35j/S23
4obo3bo\$b5ob2ob6o\$bob3ob2ob3obo\$bo2bo3bob2o2bo\$bobo2b4o4bo\$ob2ob2ob3o
3b2o\$3bo2b2obo4b2o\$3bo4bo2b2o\$2bob2o2bo3bo2bo\$b2ob3o2b3ob2o\$3ob2obob3o
b3o\$o2bob5ob2obo\$bo3b3o3b2obo\$8obobo\$3bo3b2obob2o\$ob2o2bo4b2ob2o!
``````

Code: Select all

``````x = 16, y = 16, rule = B35j/S23
bo2b2o3bo5bo\$obob2o4b2o2b2o\$o4b2ob4obo\$ob5ob3obob2o\$b3o2bo2bob2ob2o\$o
3bo5bob2o\$b4obo2b2obobo\$obo3bo2bo4b2o\$obo3b2obob3obo\$bob2o3bob2o3bo\$2b
o6bo5bo\$3obob2ob4ob2o\$2ob2o3b3o2bobo\$bo2bob3o2bo3bo\$2b2o2bob3ob3o\$2bob
ob5o2bo!
``````

Code: Select all

``````x = 16, y = 16, rule = B35j/S23
o4b3ob2ob3o\$bobob4obob2o\$b2o2b2ob3o2b3o\$3bobob3o2b2obo\$obob2ob2o3bob2o
\$3b3obobobobo\$2bobob3o2bob2o\$3b3o4bobo2bo\$4bo2b3obo3bo\$bob2obob2obob3o
\$ob3obob2o4b2o\$b2o3b2o2bo4bo\$2ob6o2b3obo\$ob2obob2o4bo\$obo2b3obo3b3o\$3b
ob2o3b2o2b2o!
``````

PHPBB12345
Posts: 750
Joined: August 5th, 2015, 11:55 pm
Contact:

### Re: Rules 1 transition from Life

Code: Select all

``````x = 50, y = 35, rule = B3/S235r
11bo26bo\$10bobo24bobo\$10bobo24bobo\$10bobo24bobo3\$2b2o2b3o5b3o2b2o8b2o
2b3o5b3o2b2o\$bobo2b2o7b2o2bobo6bobo2b2o7b2o2bobo\$2o6bo5bo6b2o4b2o6bo5b
o6b2o\$b2ob3o9b3ob2o6b2ob3o9b3ob2o\$2b3o2bo7bo2b3o8b3o2bo7bo2b3o\$3bo3bo
7bo3bo10bo3bo7bo3bo\$4b2o11b2o12b2o11b2o\$4b3o2b2ob2o2b3o12b3o2b2ob2o2b
3o\$6bob2o3b2obo16bob2o3b2obo\$8bo5bo20bo5bo5\$21bo6bo\$20bobo4bobo\$21b2o
4b2o2\$8b2o3b2o20b2o3b2o\$8b2o3b2o20b2o3b2o4\$21bo6bo\$20bobo4bobo\$21b2o4b
2o2\$8b2o3b2o20b2o3b2o\$8b2o3b2o20b2o3b2o!
``````

Code: Select all

``````x = 31, y = 27, rule = B3/S235r
11bo\$10bobo\$10bobo\$10bobo3\$2b2o2b3o5b3o2b2o\$bobo2b2o7b2o2bobo\$2o6bo5bo
6b2o\$b2ob3o9b3ob2o\$2b3o2bo7bo2b3o\$3bo3bo7bo3bo\$4b2o11b2o\$4b3o2b2ob2o2b
3o\$6bob2o3b2obo\$8bo5bo8\$29bo\$8b2o3b2o13bobo\$8b2o3b2o13bobo\$28bobo!
``````

Code: Select all

``````x = 31, y = 35, rule = B3/S235r
11bo\$10bobo\$10bobo\$10bobo3\$2b2o2b3o5b3o2b2o\$bobo2b2o7b2o2bobo\$2o6bo5bo
6b2o\$b2ob3o9b3ob2o\$2b3o2bo7bo2b3o\$3bo3bo7bo3bo\$4b2o11b2o\$4b3o2b2ob2o2b
3o\$6bob2o3b2obo\$8bo5bo9\$8b2o3b2o\$8b2o3b2o4\$29bo\$28bobo\$28bobo\$28bobo\$
8b2o3b2o\$8b2o3b2o!
``````

Code: Select all

``````x = 30, y = 35, rule = B3/S235r
11bo\$10bobo\$10bobo\$10bobo3\$2b2o2b3o5b3o2b2o\$bobo2b2o7b2o2bobo\$2o6bo5bo
6b2o\$b2ob3o9b3ob2o\$2b3o2bo7bo2b3o\$3bo3bo7bo3bo\$4b2o11b2o\$4b3o2b2ob2o2b
3o\$6bob2o3b2obo\$8bo5bo9\$8b2o3b2o\$8b2o3b2o\$28bo\$27bobo\$27bobo\$27bobo4\$
8b2o2b2o\$8b2o2b2o!
``````

Code: Select all

``````x = 121, y = 105, rule = B3/S23-c
22\$45bo32bo\$44bobo30bobo\$44bobo30bobo\$44bobo30bobo3\$36b2o2b3o5b3o2b2o
14b2o2b3o5b3o2b2o\$35bobo2b2o7b2o2bobo12bobo2b2o7b2o2bobo\$34b2o6bo5bo6b
2o10b2o6bo5bo6b2o\$35b2ob3o9b3ob2o12b2ob3o9b3ob2o\$36b3o2bo7bo2b3o14b3o
2bo7bo2b3o\$37bo3b2o5b2o3bo16bo3b2o5b2o3bo\$38b2o2b2o3b2o2b2o18b2o2b2o3b
2o2b2o\$38bo2b2obobob2o2bo18bo2b2obobob2o2bo\$39bo2b2o3b2o2bo20bo2b2o3b
2o2bo\$40b3o5b3o22b3o5b3o3\$28b2o64b2o\$27bo2bo62bo2bo\$28b2o64b2o3\$32b2o
56b2o\$28b2o2b2o56b2o2b2o\$28b2o64b2o3\$33bo56bo\$32bobo54bobo\$31b2ob2o52b
2ob2o\$33bo56bo10\$36b2o48b2o\$35b3o48b3o\$34bobo50bobo\$29b2o62b2o\$28bo3b
4o52b4o3bo\$29b8o50b8o\$36bo50bo\$33b2o54b2o2\$33b2o54b2o\$31bo4bo50bo4bo\$
31bo4bo50bo4bo\$31bo2bo54bo2bo\$32b3o54b3o16\$31bo60bo\$30bobo58bobo\$30bob
o58bobo\$31bo60bo3\$36b2o48b2o\$35bo2bo46bo2bo\$36b2o48b2o!
``````

Code: Select all

``````x = 140, y = 107, rule = B3/S23-c
25\$46bo32bo32bo\$45bobo30bobo30bobo\$45bobo30bobo30bobo\$45bobo30bobo30bo
bo3\$37b2o2b3o5b3o2b2o14b2o2b3o5b3o2b2o14b2o2b3o5b3o2b2o\$36bobo2b2o7b2o
2bobo12bobo2b2o7b2o2bobo12bobo2b2o7b2o2bobo\$35b2o6bo5bo6b2o10b2o6bo5bo
6b2o10b2o6bo5bo6b2o\$36b2ob3o9b3ob2o12b2ob3o9b3ob2o12b2ob3o9b3ob2o\$37b
3o2bo7bo2b3o14b3o2bo7bo2b3o14b3o2bo7bo2b3o\$38bo3b2o5b2o3bo16bo3b2o5b2o
3bo16bo3b2o5b2o3bo\$39b2o2b2o3b2o2b2o18b2o2b2o3b2o2b2o18b2o2b2o3b2o2b2o
\$39bo2b2obobob2o2bo18bo2b2obobob2o2bo18bo2b2obobob2o2bo\$40bo2b2o3b2o2b
o20bo2b2o3b2o2bo20bo2b2o3b2o2bo\$41b3o5b3o22b3o5b3o22b3o5b3o3\$29b2o97b
2o\$28bo2bo95bo2bo\$29b2o97b2o3\$33b2o89b2o\$29b2o2b2o89b2o2b2o\$29b2o97b2o
3\$34bo89bo\$33bobo87bobo\$32b2ob2o85b2ob2o\$34bo89bo10\$37b2o81b2o\$36b3o
81b3o\$35bobo83bobo\$30b2o95b2o\$29bo3b4o85b4o3bo\$30b8o83b8o\$37bo83bo\$34b
2o87b2o2\$34b2o87b2o\$32bo4bo83bo4bo\$32bo4bo83bo4bo\$32bo2bo87bo2bo\$33b3o
87b3o16\$32bo93bo\$31bobo91bobo\$31bobo91bobo\$32bo93bo3\$37b2o81b2o\$36bo2b
o79bo2bo\$37b2o81b2o!
``````

Code: Select all

``````x = 40, y = 4, rule = B3/S23-c
bo36bo\$obo34bobo\$obo34bobo\$obo34bobo!
``````
What is 9c/30 spaceship?

77topaz
Posts: 1497
Joined: January 12th, 2018, 9:19 pm

### Re: Rules 1 transition from Life

B3/S2-i3 has, aside from the glider, this c/5 T ship:

Code: Select all

``````x = 2, y = 3, rule = B3/S2-i3
bo\$2o\$bo!
``````
And a natural puffer:

Code: Select all

``````x = 16, y = 16, rule = B3/S2-i3
2b2o3bo4b2o\$bo5b2ob2obobo\$3ob3o2b6o\$9obob2obo\$ob4o3bob2o2bo\$bo2b3obo4b
obo\$bob2o3bo2bob3o\$obo2b5obobobo\$o3b2o2b2o2bobo\$ob3o6b2o2bo\$2b2o2bob2o
2bo\$4bobobo2bo\$3o2b10o\$2o3bo2b2obo2bo\$bobo6bo\$2b2ob2o2b2o!
``````

AforAmpere
Posts: 1111
Joined: July 1st, 2016, 3:58 pm

### Re: Rules 1 transition from Life

That rule has these ships that I know of:

Code: Select all

``````x = 95, y = 13, rule = B3/S2-i3
bo21bo24bo19b3o3b3o16b2o\$3o19bo2bo20bo2bo18bo2bobo2bo15bobo\$22bo2bo17b
4o2b2o17bo2bobo2bo17bo\$21bo3b2o15bo7bobo15b2obobob2o\$20bo2bo2bo15bo2bo
4bo17bo7bo\$20bo3bo17bo2bo4bo\$18bo31bo\$18b3o21b2o\$19b2o29b2o\$44bo\$42b2o
8bo\$42bobo5b2o\$50bobo!
``````
Wildmyron and I manage the 5S project, which collects all known spaceship speeds in Isotropic Non-totalistic rules.

Things to work on:
- Find a (7,1)c/8 ship in a Non-totalistic rule

LaundryPizza03
Posts: 759
Joined: December 15th, 2017, 12:05 am
Location: Unidentified location "https://en.wikipedia.org/wiki/Texas"

### Re: Rules 1 transition from Life

Examples of standard Life patters that do not use B1e:

Code: Select all

``````x = 49, y = 12, rule = B1e3/S23
43b2o\$43b2o\$2o2b2o4b2o4b2o4b2o4b2ob2o\$2o2bobo2bo2bo3bobo2bobo3bob2o2bo
7b4o\$5b2o2bo2bo5bo2bo5b2o4bo3b2obo4bo\$10b2o4bobo2bobo4bo3bo4b2obo2bobo
\$16b2o4b2o3bo4b2o6bo2bobob2o\$27bo2b2obo6bobo2bob2o\$28b2ob2o8b4o2\$41b2o
\$41b2o!
``````
For B2a, it is much harder to find any examples, possibly because of a scarcity of induction coils. Aside from the barge family, though, there is an unnamed 22-cell dead spark coil variant and an unnamed on-off with 124 stator cells and 12 rotor cells:

Code: Select all

``````x = 53, y = 25, rule = B2a3/S23
38bo3bo\$37bobobobo\$38bo3bo\$39b3o2\$35bo3b3o3bo\$34bobobo3bobobo\$33bo2bob
o3bobo2bo\$34b2o3b3o3b2o\$bo5bo9bo5bo5bo21bo\$obo3bobo7bobo3bobo3bobo3b2o
3b3o3b2o3bobo\$bo5bobo7bobobobo5bobobo2bobo3bobo2bobobo\$8bobo8bobo9bobo
2bobo3bobo2bobo\$9bobo5bobobobo5bobobo2bobo3bobo2bobobo\$10bo5bobo3bobo
3bobo3b2o3b3o3b2o3bobo\$17bo5bo5bo21bo\$34b2o3b3o3b2o\$33bo2bobo3bobo2bo\$
34bobobo3bobobo\$35bo3b3o3bo2\$39b3o\$38bo3bo\$37bobobobo\$38bo3bo!
``````
Naturally, there are no finite patterns that work identically in both standard life and B1c3/S23 or B03/S23, and no stable patterns in the former:

Code: Select all

``````x = 4, y = 4, rule = B1c3/S23
2o\$obo\$2bo\$2b2o!
``````

Code: Select all

``````x = 4, y = 3, rule = B3-q4z5y/S234k5j
2b2o\$b2o\$2o!
``````
LaundryPizza03 at Wikipedia

The latest edition of new-gliders.db.txt and oscillators.db.txt have 22470 spaceships and 998 oscillators from outer-totalistic rules. You are invited to help!

LaundryPizza03
Posts: 759
Joined: December 15th, 2017, 12:05 am
Location: Unidentified location "https://en.wikipedia.org/wiki/Texas"

### Re: Rules 1 transition from Life

PHPBB12345 wrote: [B3/S23-c]
What is 9c/30 spaceship?
It's a hard task, especially cleaning up all the debris left from most interactions.

Code: Select all

``````x = 4, y = 3, rule = B3-q4z5y/S234k5j
2b2o\$b2o\$2o!
``````
LaundryPizza03 at Wikipedia

The latest edition of new-gliders.db.txt and oscillators.db.txt have 22470 spaceships and 998 oscillators from outer-totalistic rules. You are invited to help!

77topaz
Posts: 1497
Joined: January 12th, 2018, 9:19 pm

### Re: Rules 1 transition from Life

LaundryPizza03 wrote:Naturally, there are no finite patterns that work identically in both standard life and B1c3/S23 or B03/S23, and no stable patterns in the former:

Code: Select all

``````x = 4, y = 4, rule = B1c3/S23
2o\$obo\$2bo\$2b2o!
``````
I also don't think there's any stable patterns in B03/S23, as it's a very explosive rule. Even a single dot creates an explosion:

Code: Select all

``````x = 1, y = 1, rule = B03/S23
o!
``````
EDIT: Okay, there are a few that do exist:

Code: Select all

``````x = 28, y = 4, rule = B03/S23
25b3o\$3o23bo\$obo6b2o7bo7bo\$3o6b2o6b2o6b3o!
``````

LaundryPizza03
Posts: 759
Joined: December 15th, 2017, 12:05 am
Location: Unidentified location "https://en.wikipedia.org/wiki/Texas"

### Re: Rules 1 transition from Life

Hdjensofjfnen, you may want to update (and maybe sort) your list in the OP. There are 102 rules within the scopee in this thread.

In B3/S23-j, the integral sign is about 17 times more common in this rule (4.7e-4) than in standard life (2.8e-5). Not much else, though.

Code: Select all

``````x = 4, y = 3, rule = B3-q4z5y/S234k5j
2b2o\$b2o\$2o!
``````
LaundryPizza03 at Wikipedia

The latest edition of new-gliders.db.txt and oscillators.db.txt have 22470 spaceships and 998 oscillators from outer-totalistic rules. You are invited to help!

Hunting
Posts: 3064
Joined: September 11th, 2017, 2:54 am

### Re: Rules 1 transition from Life

Oops
B34e/S23: Just like ordinary GoL, but take a long time to stabilize.
MLP will live on forever, so does John Horton Conway.
Moosey wrote:
February 5th, 2019, 7:51 pm
“New knightship tagalong!”
“Quick, hide it!”
My TODO list

LeapLife - DirtyLife - LispLife

I could make a rule in ten seconds flat

Hdjensofjfnen
Posts: 1521
Joined: March 15th, 2016, 6:41 pm
Location: r cis θ

### Re: Rules 1 transition from Life

LaundryPizza03 wrote:Hdjensofjfnen, you may want to update (and maybe sort) your list in the OP. There are 102 rules within the scopee in this thread.

In B3/S23-j, the integral sign is about 17 times more common in this rule (4.7e-4) than in standard life (2.8e-5). Not much else, though.
"A man said to the universe:
'Sir, I exist!'
'However,' replied the universe,
'The fact has not created in me
A sense of obligation.'" -Stephen Crane

Code: Select all

``````x = 7, y = 5, rule = B3/S2-i3-y4i
4b3o\$6bo\$o3b3o\$2o\$bo!
``````

Hdjensofjfnen
Posts: 1521
Joined: March 15th, 2016, 6:41 pm
Location: r cis θ

### Re: Rules 1 transition from Life

p40 in B36e/S23:

Code: Select all

``````x = 7, y = 6, rule = B36e/S23
4bo\$2b2obo\$bo4bo\$o4bo\$bob2o\$2bo!
``````
EDIT: The B ship works in many rules. This is one of them:

Code: Select all

``````x = 4, y = 3, rule = B3/S23-a
b3o\$o2bo\$2obo!
``````
EDIT: Another p10:

Code: Select all

``````x = 9, y = 5, rule = B3/S23-q
2o5b2o\$bo5bo\$o7bo\$bo5bo\$2o5b2o!
``````
..and a p6 I remember discovering before:

Code: Select all

``````x = 6, y = 5, rule = B3/S23-q
o4bo\$bo2bo\$o4bo\$bo2bo\$o4bo!
``````
EDIT: Trans version of the p10:

Code: Select all

``````x = 9, y = 5, rule = B3/S23-q
5bobo\$5bob2o\$bobobobo\$2obo\$bobo!
``````
EDIT: Random soup:

Code: Select all

``````x = 32, y = 32, rule = B3/S23-q
2o3bob2obob3obobo2b3ob2obobo\$o4b2obo2bob8obobobo2b2o\$7b2obobo2b5ob7o2b
o\$2b6o2b4o3bo2bob2ob2ob2obo\$2o2bo3bo2bo3b2o3bobo3bobob2o\$4o5b3o2bo5bo
3b2obo\$2obob6obo3bo3b3ob2ob2ob2o\$obo2bob2o2b2obob3obobob2ob5o\$2b2obo2b
o4b2ob3o2b4o2bo2bo\$5bob3obo5bo3b2obob2obobo\$obobo2bob2o2b2obob3obob2ob
o2bo\$bo2b6obo4bob2o3b3obo2bo\$4b4o6bo2b3o2bobo2bo2b2o\$6bo3bo4b2ob2o2bo
7b2o\$o2bo9b3obo4b4o2bobo\$obo3bob2o2bo3b2o4b5obobo\$3bo2bo2b3o2b2obobo4b
2o4bo\$3b12ob3o3b3ob3obo\$obob3obobob2obobobo4b3o2bo\$5o5bobob2obo4bo2b2o
b2obo\$2ob2o2b7ob3ob3obo7bo\$o2bo2bo3b4ob2obo2bo2b2obo\$bob2obob5o3bo2bob
ob2ob2obobo\$bo4bo4bo2b3obo2b2o2bobob3o\$bob5o2bobo2bo5b2o4b2obo\$3b2obo
3b2o6b2obob4o4bo\$b3ob2ob3obo5b3o2b3ob2o\$o5b2obo3bobo4bob4ob3o\$o3bob2ob
o3bobob2o2bo2bo3bo\$2bobob2ob2o5b2ob2obobo2bob3o\$b3o3bob2ob3o5b2o2bob2o
b3o\$o4bobo2b4o2bo3bobobob2ob3o!
``````
"A man said to the universe:
'Sir, I exist!'
'However,' replied the universe,
'The fact has not created in me
A sense of obligation.'" -Stephen Crane

Code: Select all

``````x = 7, y = 5, rule = B3/S2-i3-y4i
4b3o\$6bo\$o3b3o\$2o\$bo!
``````

AbhpzTa
Posts: 494
Joined: April 13th, 2016, 9:40 am
Location: Ishikawa Prefecture, Japan

### Re: Rules 1 transition from Life

Pi-based 5-engine (3,0)c/10 p60 mod60 spaceship in B3/S23-c:

Code: Select all

``````x = 55, y = 155, rule = B3/S23-c
5bo\$4bo2bo\$7bo\$2bo2bobo23bo\$4ob3o17b2o3bobo\$o2b2obo18b2o3bobo\$2o3bo19b
2o4bo\$2b3o21bo\$24b2obo13b2o\$23bobobo13b2o\$23b4o12bo3bo2\$43b2o\$39bo\$38b
2o\$38bo2bo\$39bo\$40b2o\$48b3o\$48bo2bo\$48bo3bo\$52bo\$9b2o37bo3bo\$10b2o36bo
2bo\$9bo38b3o\$40b2o\$39bo\$40b2o\$38bo\$39bo\$43b2o\$31b3ob2o\$33b2o2bo4bo\$35b
2o\$32b4o3b2o\$31b2o\$31bo2bo\$12b2o18bo\$13b2o18b2o\$12bo28b3o\$41bo2bo\$41bo
3bo\$45bo\$41bo3bo\$41bo2bo\$41b3o\$33b2o\$32bo\$31bo2bo\$31b2o\$32bo\$36b2o\$15b
2o\$16b2o14bo3bo\$15bo18b2o\$34b2o2\$12bo2bo\$12bo6bo2b2o\$12bo3bobo3b2o\$14b
ob2o6bo\$15b2obo4bo15b3o\$17bo20bob2o\$20b3o15b4ob2o\$37b2o\$36b2obobo3bo\$
36b2ob2o4bo\$39b2o\$35bobo3bo2bo\$35bo6b2o3b3o\$35bobo9bobo\$36b2o13bo\$44b
2o5bo\$44b2obo3bo\$45b5o2\$49bob2obo\$49bo4bo\$49bob2obo2\$45b5o\$44b2obo3bo\$
44b2o5bo\$36b2o13bo\$35bobo9bobo\$35bo6b2o3b3o\$35bobo3bo2bo\$39b2o\$36b2ob
2o4bo\$36b2obobo3bo\$37b2o\$20b3o15b4ob2o\$17bo20bob2o\$15b2obo4bo15b3o\$14b
ob2o6bo\$12bo3bobo3b2o\$12bo6bo2b2o\$12bo2bo2\$34b2o\$15bo18b2o\$16b2o14bo3b
o\$15b2o\$36b2o\$32bo\$31b2o\$31bo2bo\$32bo\$33b2o\$41b3o\$41bo2bo\$41bo3bo\$45bo
\$41bo3bo\$41bo2bo\$12bo28b3o\$13b2o18b2o\$12b2o18bo\$31bo2bo\$31b2o\$32b4o3b
2o\$35b2o\$33b2o2bo4bo\$31b3ob2o\$43b2o\$39bo\$38bo\$40b2o\$39bo\$40b2o\$9bo38b
3o\$10b2o36bo2bo\$9b2o37bo3bo\$52bo\$48bo3bo\$48bo2bo\$48b3o\$40b2o\$39bo\$38bo
2bo\$38b2o\$39bo\$43b2o2\$23b4o12bo3bo\$23bobobo13b2o\$24b2obo13b2o\$2b3o21bo
\$2o3bo19b2o4bo\$o2b2obo18b2o3bobo\$4ob3o17b2o3bobo\$2bo2bobo23bo\$7bo\$4bo
2bo\$5bo!``````
(3,0)c/10 p60 rakes:

Code: Select all

``````x = 237, y = 164, rule = B3/S23-c
7bo179bo\$8b2o176bo2bo\$3b4ob2o22bo156bo\$bo6bo17b2o3bobo150bo2bobo23bo\$o
3bo3bo16bo2bo2bobo148b4ob3o17b2o3bobo\$b2o25bo3bo149bo2b2obo18b2o3bobo\$
2b4o19bo2bo153b2o3bo19b2o4bo\$4bo20b2obo13b2o140b3o21bo\$24bo3bo12b2obo
161b2obo13b2o\$24bob2o15bo161bobobo13b2o\$25b2o17b2o159b4o12bo3bo2\$39b2o
184b2o\$39b3o179bo\$39bobo178b2o\$40bobo177bo2bo\$41bo8bo170bo\$49b3o170b2o
\$48b2ob2o177b3o\$52b2o176bo2bo\$52b3o175bo3bo\$10b3o39b2o180bo\$12bo35b2ob
2o138b2o37bo3bo\$11bo37b3o140b2o36bo2bo\$41bo8bo140bo38b3o\$40bo181b2o\$
40b2o179bo\$40b2o180b2o\$220bo\$33bo187bo\$33b2ob2o6bo180b2o\$34bo3bo174b3o
b2o\$33bo3bo177b2o2bo4bo\$32b6o179b2o\$32bo3bo177b4o3b2o\$32bobo178b2o\$13b
3o17bobo177bo2bo\$15bo18bo8bo150b2o18bo\$14bo27b3o150b2o18b2o\$41b2ob2o
148bo28b3o\$45b2o176bo2bo\$45b3o175bo3bo\$45b2o180bo\$41b2ob2o177bo3bo\$42b
3o178bo2bo\$34bo8bo179b3o\$33bobo179b2o\$32bobo179bo\$32b3o178bo2bo\$32b2o
179b2o\$214bo\$16b3o18b2o179b2o\$18bo17bo160b2o\$17bo16b2obo160b2o14bo3bo\$
35b2o160bo18b2o\$216b2o2\$12b3o8b2o169bo2bo\$14bob2obo3bobo168bo6bo2b2o\$
19bo3bobo15bo152bo3bobo3b2o\$16bo2bo20bobo153bob2o6bo\$17b2o3b2o15bo157b
2obo4bo15b3o\$22bo19b2o155bo20bob2o\$22bo14bo4b2obo156b3o15b4ob2o\$40bo
178b2o\$37b2o3bo175b2obobo3bo\$38bobobo175b2ob2o4bo\$37bo3b4o4bo171b2o\$
35b2o6b2o3bobo166bobo3bo2bo\$36bobo9bob2o165bo6b2o3b3o\$37b2o12bo165bobo
9bobo\$45b3o3b3o164b2o13bo\$48bo2bo174b2o5bo\$45b2ob2o176b2obo3bo\$47b2ob
2o175b5o\$51bo2bo\$49b2o4b2o174bob2obo\$51bo2bo176bo4bo\$47b2ob2o179bob2ob
o\$45b2ob2o\$48bo2bo175b5o\$45b3o3b3o172b2obo3bo\$37b2o12bo160b2o12b2o5bo\$
36bobo9bob2o160b2o4b2o13bo\$35b2o6b2o3bobo166bobo9bobo\$37bo3b4o4bo167bo
6b2o3b3o\$38bobobo174bobo3bo2bo\$37b2o3bo178b2o\$40bo168bo3b2o3b2ob2o4bo\$
22bo14bo4b2obo162bobo2bobo2b2obobo3bo\$22bo19b2o164bo6b2o2b2o\$17b2o3b2o
15bo167b2o5b2o4b4ob2o\$16bo2bo20bobo164b2o5bo5bob2o\$19bo3bobo15bo165b2o
12b3o\$14bob2obo3bobo\$12b3o8b2o2\$203b3o\$35b2o165b5o\$17bo16b2obo169bo8b
2o\$18bo17bo163bo2b4o9b2o\$16b3o18b2o161b6o8bo3bo\$200bo\$32b2o184b2o\$32b
3o171bo7bo\$32bobo169b2obo5b2o\$33bobo169b2o6bo2bo\$34bo8bo162bo7bo\$42b3o
150bobo17b2o\$41b2ob2o150b2o25b3o\$45b2o149bo26bo2bo\$45b3o175bo3bo\$45b2o
180bo\$41b2ob2o177bo3bo\$14bo27b3o178bo2bo\$15bo18bo8bo179b3o\$13b3o17bobo
179b2o\$32bobo179bo\$32b3o178bo2bo\$32b2o179b2o\$33bo180bo\$33bob2o181b2o\$
33bobo\$34bo5bo151bobo19bo3bo\$38bobo152b2o21b2o\$37bo155bo22b2o\$37bo\$37b
o3bo\$41bo\$11bo23b3o\$12bo22bo\$10b3o23b2obo\$216b2o\$38bo7bo169b2o\$38bo6b
3o166bo3bo\$45bob2o\$48b2o168b2o\$45bob2o165bo\$38bo6b3o141bobo21b2o\$38bo
7bo143b2o21bo2bo\$190bo23bo\$36b2obo175b2o\$35bo187b3o\$35b3o185bo2bo\$41bo
181bo3bo\$41bo185bo\$36b2o2bo182bo3bo\$21bobo199bo2bo\$19b2obobo12b4o182b
3o\$2bo19bobo190b2o\$ob2o19bo190bo\$3ob2o22bo184bo2bo\$2b3o17b2o3bobo183b
2o\$bobo18b2o3bobo184bo\$b2o25bo142bob2obo41b2o\$170b5obo\$173bo24b4o12bo
3bo\$171b2obo2bo2bo17bobobo13b2o\$174bo2b5o17b2obo13b2o\$176bob5o18bo\$
178bo2b2o17b2o4bo\$179b3o18b2o3bobo\$180bo19b2o3bobo\$206bo!``````
Iteration of sigma(n)+tau(n)-n [sigma(n)+tau(n)-n : OEIS A163163] (e.g. 16,20,28,34,24,44,46,30,50,49,11,3,3, ...) :
965808 is period 336 (max = 207085118608).