## B2ein3aikq67e/S1c23-nqr4ci6ci

For discussion of other cellular automata.
Posts: 219
Joined: January 24th, 2018, 4:36 pm

### B2ein3aikq67e/S1c23-nqr4ci6ci

This rule has a family of table-based c/2 ships with Tagalongs. It also has naturally-occurring oscillators up to p8, and a very sparky p28. also, it has 2 naturally occurring puffers.
Last edited by googleplex on February 7th, 2018, 11:35 pm, edited 1 time in total.
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77topaz
Posts: 1467
Joined: January 12th, 2018, 9:19 pm

### Re: B2ein3aikq67e/S1c23-nqr4ci6ci

Small, natural p28 oscillator:

Code: Select all

``````x = 17, y = 6, rule = B2ein3aikq67e/S1c23-nqr4ci6ci
\$3b2o2bo\$2b2o2bo2bo\$3b2o2bo!
``````
A few small, natural spaceships (c/3 diagonal, c/2 orthogonal (x2), c/13 diagonal):

Code: Select all

``````x = 27, y = 4, rule = B2ein3aikq67e/S1c23-nqr4ci6ci
24bo\$obo14bo5b2o\$bo5bo2bo4bo2bo7bo\$2bo4b4o4b4o6b2o!
``````

Posts: 219
Joined: January 24th, 2018, 4:36 pm

### Re: B2ein3aikq67e/S1c23-nqr4ci6ci

The table is a ship in this rule, and it has many tagalongs:

Code: Select all

``````x = 13, y = 6, rule = B2ein3aikq67e/S1c23-nqr4ci6ci
5b2o\$4bo2bobo\$4bo5bo\$7bo\$3o8b2o\$o9bobo!
``````
Look at me! I make patterns in golly and go on the forums! I wanna be Famous!

Posts: 219
Joined: January 24th, 2018, 4:36 pm

### Re: B2ein3aikq67e/S1c23-nqr4ci6ci

A very sparky p16:

Code: Select all

``````x = 7, y = 5, rule = B2ein3aikq67e/S1c23-nqr4ci6ci
2b3o\$o5bo\$bo3bo\$o5bo\$2b3o!``````
Reflector, anyone?
Look at me! I make patterns in golly and go on the forums! I wanna be Famous!

77topaz
Posts: 1467
Joined: January 12th, 2018, 9:19 pm

### Re: B2ein3aikq67e/S1c23-nqr4ci6ci

Code: Select all

``````x = 7, y = 5, rule = B2ein3aikq67e/S1c23-nqr4ci6ci
2b3o\$o5bo\$bo3bo\$o5bo\$2b3o!``````
Reflector, anyone?
p16 converts c/3 diagonal to a block that interacts with the p16 without destroying it:

Code: Select all

``````x = 19, y = 9, rule = B2ein3aikq67e/S1c23-nqr4ci6ci
16bobo\$17bo\$18bo2\$2b3o\$o5bo\$bo3bo\$o5bo\$2b3o!
``````
p16 converts c/2 orthogonal to a block that interacts with the p16 without destroying it:

Code: Select all

``````x = 19, y = 5, rule = B2ein3aikq67e/S1c23-nqr4ci6ci
2b3o12b2o\$o5bo10bo\$bo3bo11bo\$o5bo10b2o\$2b3o!
``````
Ibid:

Code: Select all

``````x = 19, y = 9, rule = B2ein3aikq67e/S1c23-nqr4ci6ci
17b2o\$17bo\$17bo\$17b2o\$2b3o\$o5bo\$bo3bo\$o5bo\$2b3o!
``````
p16 shifts c/3 diagonal by one half-diagonal:

Code: Select all

``````x = 19, y = 5, rule = B2ein3aikq67e/S1c23-nqr4ci6ci
2b3o\$o5bo9bobo\$bo3bo11bo\$o5bo11bo\$2b3o!
``````
c/2 orthogonal converts p16 to p28:

Code: Select all

``````x = 21, y = 10, rule = B2ein3aikq67e/S1c23-nqr4ci6ci
19b2o\$19bo\$19bo\$19b2o2\$2b3o\$o5bo\$bo3bo\$o5bo\$2b3o!
``````
p16 + c/2 orthogonal -> block + c/3 diagonal:

Code: Select all

``````x = 15, y = 11, rule = B2ein3aikq67e/S1c23-nqr4ci6ci
13b2o\$13bo\$13bo\$13b2o3\$2b3o\$o5bo\$bo3bo\$o5bo\$2b3o!
``````

Posts: 219
Joined: January 24th, 2018, 4:36 pm

### Re: B2ein3aikq67e/S1c23-nqr4ci6ci

A natural puffer!:

Code: Select all

``````x = 14, y = 3, rule = B2ein3aikq67e/S1c23-nqr4ci6ci
5b3o\$o2bobobobo2bo\$4ob3ob4o!
``````
Look at me! I make patterns in golly and go on the forums! I wanna be Famous!

Posts: 219
Joined: January 24th, 2018, 4:36 pm

### Re: B2ein3aikq67e/S1c23-nqr4ci6ci

a 5 cell still life can eat a table:

Code: Select all

``````x = 6, y = 7, rule = B2ein3aikq67e/S1c23-nqr4ci6ci
3bobo\$4bo\$3bobo3\$4o\$o2bo!
``````
Look at me! I make patterns in golly and go on the forums! I wanna be Famous!

77topaz
Posts: 1467
Joined: January 12th, 2018, 9:19 pm

### Re: B2ein3aikq67e/S1c23-nqr4ci6ci

Code: Select all

``````x = 14, y = 3, rule = B2ein3aikq67e/S1c23-nqr4ci6ci
5b3o\$o2bobobobo2bo\$4ob3ob4o!
``````
Another puffer with a similar shape:

Code: Select all

``````x = 13, y = 3, rule = B2ein3aikq67e/S1c23-nqr4ci6ci
6bo\$o2bob3obo2bo\$4o2bo2b4o!
``````
This one is p26, while the other is p20.

EDIT: If you shift it slightly, it becomes a p12 ship:

Code: Select all

``````x = 13, y = 4, rule = B2ein3aikq67e/S1c23-nqr4ci6ci
5b3o\$5bobo\$o2bob3obo2bo\$4o5b4o!
``````
And another variation becomes a p32 ship:

Code: Select all

``````x = 13, y = 3, rule = B2ein3aikq67e/S1c23-nqr4ci6ci
bo4bo4bo\$o2bob3obo2bo\$4o2bo2b4o!
``````
Last edited by 77topaz on February 7th, 2018, 9:40 pm, edited 2 times in total.

Posts: 219
Joined: January 24th, 2018, 4:36 pm

### Re: B2ein3aikq67e/S1c23-nqr4ci6ci

77topaz wrote:

Code: Select all

``````x = 14, y = 3, rule = B2ein3aikq67e/S1c23-nqr4ci6ci
5b3o\$o2bobobobo2bo\$4ob3ob4o!
``````
Another puffer with a similar shape:

Code: Select all

``````x = 13, y = 3, rule = B2ein3aikq67e/S1c23-nqr4ci6ci
6bo\$o2bob3obo2bo\$4o2bo2b4o!
``````
Wow! That bumps up that still life to #7 on the D2_+1 census!
Look at me! I make patterns in golly and go on the forums! I wanna be Famous!

Posts: 219
Joined: January 24th, 2018, 4:36 pm

### Re: B2ein3aikq67e/S1c23-nqr4ci6ci

Natural trivial p20 oscillator:

Code: Select all

``````x = 7, y = 11, rule = B2ein3aikq67e/S1c23-nqr4ci6ci
obo\$bo\$obo\$4bobo\$4b3o2\$4b2o\$5bo2\$bo\$b2o!``````
Trivial p10 oscillator:

Code: Select all

``````x = 12, y = 8, rule =  B2ein3aikq67e/S1c23-nqr4ci6ci
obo5b2o\$bo6b2o\$obo\$3b2o4b3o\$3b2o4bobo\$5bobo\$6bo\$5bobo!``````
And now, a trivial p28:

Code: Select all

``````x = 10, y = 8, rule = B2ein3aikq67e/S1c23-nqr4ci6ci
2bobob2o\$2b3ob2o2\$3b2obo\$4bo2bo\$8b2o\$o7b2o\$2o!``````
Look at me! I make patterns in golly and go on the forums! I wanna be Famous!

Posts: 219
Joined: January 24th, 2018, 4:36 pm

### Re: B2ein3aikq67e/S1c23-nqr4ci6ci

Summing up the Catagolue census left running overnight on D2_+1 symmetry at http://catagolue.appspot.com/census/b2e ... i6ci/D2_+1, here are my discoveries:

There are now oscillators of all periods but 9 up to period 12,
still lives up to 41 bits,
lots of spaceships,
and 2 natural puffers.
Look at me! I make patterns in golly and go on the forums! I wanna be Famous!

Posts: 219
Joined: January 24th, 2018, 4:36 pm

### Re: B2ein3aikq67e/S1c23-nqr4ci6ci

Here's a collection of all Spaceships known thus far:
P2/3:

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``````x = 35, y = 8, rule = B2ein3aikq67e/S1c23-nqr4ci6ci
9bo\$8b3o3b4o3b4o7b3o\$4b4o3b4o2bo3bo2bo9bo\$4bo2bo3bo2bo17bobo\$18bobo\$bo
bo\$o\$o!``````

P10:

Code: Select all

``````x = 4, y = 15, rule = B2ein3aikq67e/S1c23-nqr4ci6ci
2o\$2bo\$2bo\$bo\$o2\$2b2o\$3bo\$2b2o2\$o\$bo\$2bo\$2bo\$2o!``````
P12:

Code: Select all

``````x = 4, y = 13, rule = B2ein3aikq67e/S1c23-nqr4ci6ci
2o\$o\$o\$2o2\$b3o\$bo\$b3o2\$2o\$o\$o\$2o!``````
P13:

Code: Select all

``````x = 4, y = 4, rule = B2ein3aikq67e/S1c23-nqr4ci6ci
bo\$2o\$3bo\$2b2o!``````
P14:

Code: Select all

``````x = 10, y = 13, rule = B2ein3aikq67e/S1c23-nqr4ci6ci
2o\$o\$o\$2o\$4bo\$b2o2bo\$bob4o2bo\$b2o2bo\$4bo\$2o\$o\$o\$2o!``````
P18:

Code: Select all

``````x = 17, y = 5, rule = B2ein3aikq67e/S1c23-nqr4ci6ci
4o9b4o\$o2bo9bo2bo\$4bo2b3o2bo\$3bobobobobobo\$3bo3bobo3bo!``````
P24:

Code: Select all

``````x = 3, y = 13, rule = B2ein3aikq67e/S1c23-nqr4ci6ci
b2o\$2bo\$2bo\$b2o2\$2o\$bo\$2o2\$2o\$bo\$bo\$2o!``````
P32:

Code: Select all

``````x = 11, y = 13, rule = B2ein3aikq67e/S1c23-nqr4ci6ci
b2o\$o\$o2bo\$bobo2\$b2o2b2o2b2o\$bo2bo2bob2o\$b2o2b2o2b2o2\$bobo\$o2bo\$o\$b2o!``````
Look at me! I make patterns in golly and go on the forums! I wanna be Famous!

Posts: 219
Joined: January 24th, 2018, 4:36 pm

### Re: B2ein3aikq67e/S1c23-nqr4ci6ci

Now there's a natural p70 that is made out of still lives in 6 of its phases.
Once we get all the c/3 ship collisions it should be pretty easy to synthesize:

Code: Select all

``````x = 8, y = 19, rule = B2ein3aikq67e/S1c23-nqr4ci6ci
3b2o\$2o2bob2o\$bob2obo\$2o4b2o2\$2o\$o\$2o4\$2o\$o\$2o2\$2o4b2o\$bob2obo\$2o2bob2o\$3b2o!``````
and the soup it was found in:

Code: Select all

``````x = 16, y = 31, rule = B2ein3aikq67e/S1c23-nqr4ci6ci
bbboboobooboboob\$
bbobboobobbobbbb\$
obbooobooobbboob\$
obooobbobooobbob\$
booobobobobbboob\$
bbbobobobbboooob\$
oboobobbboobobbb\$
oboobbbobbbboboo\$
obobobbobobobboo\$
bboboobbobooobbo\$
ooboobbooboooobb\$
oobobbbobbobboob\$
bbboboobbbbbbbbo\$
bboobbbbbobbobob\$
bbbobobbbboobbob\$
oooboobobooboobo\$
bbbobobbbboobbob\$
bboobbbbbobbobob\$
bbboboobbbbbbbbo\$
oobobbbobbobboob\$
ooboobbooboooobb\$
bboboobbobooobbo\$
obobobbobobobboo\$
oboobbbobbbboboo\$
oboobobbboobobbb\$
bbbobobobbboooob\$
booobobobobbboob\$
obooobbobooobbob\$
obbooobooobbboob\$
bbobboobobbobbbb\$
bbboboobooboboob!
``````
Look at me! I make patterns in golly and go on the forums! I wanna be Famous!

77topaz
Posts: 1467
Joined: January 12th, 2018, 9:19 pm

### Re: B2ein3aikq67e/S1c23-nqr4ci6ci

A p8 ship:

Code: Select all

``````x = 11, y = 13, rule = B2ein3aikq67e/S1c23-nqr4ci6ci
b2o\$bo\$bo\$b2o\$2bobo\$bo3b2o2b2o\$2o4bo3bo\$bo3b2o2b2o\$2bobo\$b2o\$bo\$bo\$b2o!
``````
A p30 oscillator:

Code: Select all

``````x = 15, y = 5, rule = B2ein3aikq67e/S1c23-nqr4ci6ci
obo9bobo\$bo11bo\$obo2bo6bobo\$4b2o3bo\$5bo!
``````

Posts: 219
Joined: January 24th, 2018, 4:36 pm

### Re: B2ein3aikq67e/S1c23-nqr4ci6ci

P10 spaceship:

Code: Select all

``````x = 12, y = 3, rule = B2ein3aikq67e/S1c23-nqr4ci6ci
3o6b3o\$bo2bo2bo2bo\$b4o2b4o!``````
P10 spaceship interacting non-trivially with another ship:

Code: Select all

``````x = 11, y = 12, rule = B2ein3aikq67e/S1c23-nqr4ci6ci
2bo\$3o\$obo\$o\$2o8bo\$9bo\$9bo\$2o8bo\$o\$obo\$3o\$2bo!``````
P12 spaceship:

Code: Select all

``````x = 8, y = 6, rule = B2ein3aikq67e/S1c23-nqr4ci6ci
2b4o\$obo2bobo\$2o4b2o2\$2bo2bo\$3b2o!``````
Look at me! I make patterns in golly and go on the forums! I wanna be Famous!