## Perfect Diagonal Speeds in Life-like CA

For discussion of other cellular automata.
muzik
Posts: 3782
Joined: January 28th, 2016, 2:47 pm
Location: Scotland

### Perfect Diagonal Speeds in Life-like CA

it had to be done

Rules follow the orthogonal thread as closely as possible. Glide reflective allowed if the overall period still matches the speed.

c/2: (Impossible in Life)

Code: Select all

``````x = 3, y = 4, rule = B2ac/S1
o\$b2o2\$2bo!
``````
c/3: (Impossible in Life)

Code: Select all

``````x = 3, y = 3, rule = B2-ai3-in4w/S1c2aei3-aj
obo\$bo\$2bo!
``````
c/4: (glider)

Code: Select all

``````x = 3, y = 3, rule = B3/S23
b2o\$obo\$2bo!
``````
c/5: (Unnamed)

Code: Select all

``````x = 23, y = 23, rule = B3/S23
b2o\$b2o\$o2bo\$o2bob2o\$o\$o2bo3b2o\$bo5b2o\$b5obo\$6bo3\$7b3o\$9bo\$10b2o\$11bo
4b2o\$11bo3b3o\$14bo4bo\$15bo3bo\$15bo\$15bobob2o\$15bo5b2o\$15b2o4b2o\$17b4o!
``````
c/6: (Unnamed)

Code: Select all

``````x = 36, y = 36, rule = B3/S23
bo\$obo\$o2b2o2\$5bo\$3b2o2b2o\$7b2o\$8bo\$8bobo\$9b2o\$9bo2bo\$8bo4bo\$8bo5bo\$
13bo3bo\$11b2o3bobo\$15b2ob2o\$12bobo4b2o\$12bo7b2o\$12bo9bo\$20b2o\$20bo\$19b
o3bo\$22bobo\$17b3obo3bo\$21bo\$26b2o\$25b2o\$23b2o2b4o\$29b2o2\$31bo\$30bo2bo\$
30bo2bo\$34bo\$35bo\$33b2o!
``````
c/7: (Lobster)

Code: Select all

``````11b3o\$13bo\$8b2o2bo\$8b2o\$12b2o\$11b2o\$10bo2bo2\$8bo2bo\$7bo3bo\$6bob3o\$5bo\$
5bo13bobo2b2o\$6bo13b2obobo\$b2o13b2o2bo4bo\$o2b2o2b2o6bo3bo\$5bo2bo6bo6b
2o\$9b2o4bobo4b2o\$2bo3bo3bo5bo\$6b2o4bo2bo\$bobo5bo3b2o\$2o8bo\$5bo4bo\$7bo
3bo\$4b2o5bo\$4bo5bo!``````
c/8:

Code: Select all

``````x = 5, y = 4, rule = B36/S125
3o2\$2bobo\$bo!
``````
c/9:

Code: Select all

``````x = 4, y = 4, rule = B347/S3567
obo\$ob2o\$2o\$4o!
``````
c/10:

Code: Select all

``````x = 3, y = 3, rule = B34-air/S234-air
b2o\$b2o\$o!
``````
c/11:

Code: Select all

``````x = 5, y = 5, rule = B2n3-r4ew5cky6n/S023-r
bo\$3bo\$o\$4bo\$2bo!
``````
c/12: (Known in Life, but not at this period)

Code: Select all

``````x = 4, y = 4, rule = B2cek3acijr5c6cik/S2-ck3inr
obo\$3bo2\$3bo!
``````
c/13:

Code: Select all

``````x = 5, y = 9, rule = B35c6-k78/S234-aqrwy
3\$b3o\$3bo\$bobo!
``````
c/14:

Code: Select all

``````x = 3, y = 3, rule = B2ek3-qy6cik/S2aein3inr4ai5i
2bo\$o\$bo!
``````
c/15:

Code: Select all

``````x = 5, y = 5, rule = B3457/S35
5o\$bo2bo\$b2obo\$2b3o\$4bo!
``````
c/16:

Code: Select all

``````x = 3, y = 4, rule = B2ek3-ajny4aw/S02-ei3n4aq
o\$2bo2\$o!
``````
c/17:

Code: Select all

``````x = 6, y = 6, rule = B3457/S1457
2b3o\$6o\$o3b2o\$b2ob2o\$b2obo\$3b2o!
``````
c/18:

Code: Select all

``````x = 3, y = 4, rule = B2in34r/S1e2-e3-a4ijt
b2o\$obo\$obo\$bo!
``````
c/19:

Code: Select all

``````x = 6, y = 6, rule = B3/S14568
4b2o\$2b4o\$2b3o\$b4o\$b2o\$o!
``````
c/20:

Code: Select all

``````x = 5, y = 5, rule = B34/S04578
bo\$4o\$4o\$5o\$b3o!
``````
c/21:

Code: Select all

``````x = 3, y = 3, rule = B2n34-a7/S2-in3
3o\$2bo\$2bo!
``````
c/22:

Code: Select all

``````x = 4, y = 3, rule = B2c3ajk4/S1c23
bo\$2bo\$2obo!
``````
c/23:

Code: Select all

``````x = 4, y = 4, rule = B3567/S02467
bo2\$o2bo\$2o!
``````
c/24:

Code: Select all

``````x = 7, y = 7, rule = B3467/S04568
5bo\$4b3o\$2b4o\$2bobo\$ob3o2\$obo!
``````
c/25:

Code: Select all

``````x = 6, y = 6, rule = B2-a3-ik4-aik/S23
b2o\$b2o\$o2bo\$4b2o\$4b2o\$3bo!
``````
c/30:

Code: Select all

``````x = 4, y = 4, rule = B38/S234wz
bobo\$o2bo\$o2bo\$b2o!
``````
c/42:

Code: Select all

``````x = 5, y = 3, rule = B2cei3-i/S235a
2o\$o\$2b3o!
``````
c/66:

Code: Select all

``````x = 4, y = 4, rule = B34e/S23-e
bobo\$o2bo\$o2bo\$2o!
``````
c/118:

Code: Select all

``````x = 8, y = 8, rule = B347/S356
2b3o\$bo2b3o\$ob2o2bo\$obo3b2o\$b2o2bobo\$3b3obo\$3bo2bo\$4b2o!
``````
c/125:

Code: Select all

``````x = 9, y = 9, rule = B34568/S18
4b3obo\$5bo\$2b5obo\$3o3b3o\$3obobobo\$obo3bo\$ob5o\$o3b2o\$6o!
``````
c/129:

Code: Select all

``````x = 8, y = 8, rule = B34578/S458
bobo\$b2o\$4obo\$5o\$3ob2obo\$7o\$8o\$6o!
``````
c/132: (B0)

Code: Select all

``````x = 5, y = 4, rule = B01348/S14
2o\$obobo\$b2o\$3o!
``````
c/156: (B0)

Code: Select all

``````x = 6, y = 6, rule = B0138/S01235
b2o\$o\$2b2o\$bobobo\$b2o2bo\$4bo!
``````
c/161:

Code: Select all

``````x = 9, y = 7, rule = B34568/S458
2b6o\$2b7o\$obo2b2o\$2bo2b3o\$o3bo\$2b4o\$b3o!
``````
c/177:

Code: Select all

``````x = 11, y = 11, rule = B34568/S4578
6bo\$4b3o\$4b2ob2o\$2b3ob3o\$2b2ob3ob2o\$7ob2o\$6ob3o\$ob6o\$bob5o\$b2ob2o\$3b3o
!
``````
c/178: (B0)

Code: Select all

``````x = 9, y = 9, rule = B0124/S0136
2b2o\$4bo\$6bo\$4obo\$2b3o2bo\$3b3o2bo\$4b2o2bo\$5bo\$5bo!
``````
c/180: (B0)

Code: Select all

``````x = 7, y = 5, rule = B016/S0124
b3o\$3bob2o\$2o3b2o\$3bo\$b2o!
``````
c/195:

Code: Select all

``````x = 9, y = 9, rule = B3458/S456
3b4o\$3b4o\$b2o4b2o\$b5ob2o\$3o2bob2o\$4obob2o\$7o\$2b5o\$2b3o!
``````
c/230:

Code: Select all

``````x = 4, y = 5, rule = B34568/S268
b3o\$3bo\$3o\$b3o\$bo!
``````
c/245:

Code: Select all

``````x = 11, y = 11, rule = B3457/S456
5b5o\$3bob2obobo\$3bobobob2o\$b5o2bobo\$b5o3b2o\$5ob5o\$bob5o\$10o\$b3ob3o\$b7o
\$3bobo!
``````
c/368:

Code: Select all

``````x = 8, y = 8, rule = B3457/S456
2bobo\$7o\$3ob3o\$4ob3o\$5obo\$b7o\$b6o\$3b4o!
``````
c/723:

Code: Select all

``````x = 10, y = 10, rule = B34578/S4568
3bobobo\$3b2o2bo\$b3ob2ob2o\$2b2ob3o\$2obob3obo\$b3o4bo\$2ob7o\$bo2bob2o\$b5ob
o\$3bobo!
``````
work in progress
Last edited by muzik on June 30th, 2017, 10:07 am, edited 9 times in total.
Bored of using the Moore neighbourhood for everything? Introducing the Range-2 von Neumann isotropic non-totalistic rulespace!

Saka
Posts: 3405
Joined: June 19th, 2015, 8:50 pm
Location: In the kingdom of Sultan Hamengkubuwono X
Contact:

### Re: Perfect Diagonal Speeds in Life-like CA

No non-tot. rules?

Code: Select all

``````o3b2ob2obo3b2o2b2o\$bo3b2obob3o3bo2bo\$2bo2b3o5b3ob4o\$3o3bo2bo2b3o3b3o\$
4bo4bobo4bo\$2o2b2o2b4obo2bo3bo\$2ob4o3bo2bo2bo2bo\$b2o3bobob2o\$3bobobo5b
obobobo\$3bobobob2o3bo2bobo!
``````
(Check gen 3)
Add your computer to the Table of Lifeenthusiast Computers!

muzik
Posts: 3782
Joined: January 28th, 2016, 2:47 pm
Location: Scotland

### Re: Perfect Diagonal Speeds in Life-like CA

Saka wrote:No non-tot. rules?
not yet, no
Bored of using the Moore neighbourhood for everything? Introducing the Range-2 von Neumann isotropic non-totalistic rulespace!

Rhombic
Posts: 1064
Joined: June 1st, 2013, 5:41 pm

### Re: Perfect Diagonal Speeds in Life-like CA

Smaller c/10

Code: Select all

``````x = 3, y = 3, rule = B34-air/S234-air
obo\$o\$3o!
``````
SoL : FreeElectronics : DeadlyEnemies : 6a-ite : Rule X3VI
what is “sesame oil”?

toroidalet
Posts: 1082
Joined: August 7th, 2016, 1:48 pm
Location: My computer
Contact:

### Re: Perfect Diagonal Speeds in Life-like CA

c/22

Code: Select all

``````x = 4, y = 3, rule = B2c3ajk4/S1c23
2obo\$2bo\$bo!
``````
c/3

Code: Select all

``````x = 3, y = 3, rule = B2-ai3-in4w/S1c2aei3-aj
2bo\$bo\$obo!``````
c/30

Code: Select all

``````x = 4, y = 4, rule = B38/S234wz
b2o\$o2bo\$o2bo\$bobo!``````
c/25

Code: Select all

``````x = 6, y = 6, rule = B2-a3-ik4-aik/S23
3bo\$4b2o\$4b2o\$o2bo\$b2o\$b2o!``````
c/14

Code: Select all

``````x = 3, y = 3, rule = B2ek3-qy6cik/S2aein3inr4ai5i
bo\$o\$2bo!``````
c/12

Code: Select all

``````x = 4, y = 4, rule = B2cek3acijr5c6cik/S2-ck3inr
3bo2\$3bo\$obo!``````
c/16

Code: Select all

``````x = 3, y = 4, rule = B2ek3-ajny4aw/S02-ei3n4aq
o2\$2bo\$o!
``````
c/2

Code: Select all

``````x = 3, y = 4, rule = B2ac/S1
2bo2\$b2o\$o!``````
Also, what's with the enormous c/4-c/7 ships?
"Build a man a fire and he'll be warm for a day. Set a man on fire and he'll be warm for the rest of his life."

-Terry Pratchett

Rhombic
Posts: 1064
Joined: June 1st, 2013, 5:41 pm

### Re: Perfect Diagonal Speeds in Life-like CA

c/21, fewer cells

Code: Select all

``````x = 3, y = 3, rule = B2n34-a7/S2-in3
3o\$o\$o!
``````
Amusingly closely related c/18

Code: Select all

``````x = 3, y = 3, rule = B2n34-a7/S2-in34q
3o\$o\$o!
``````
SoL : FreeElectronics : DeadlyEnemies : 6a-ite : Rule X3VI
what is “sesame oil”?

Rocknlol
Posts: 95
Joined: April 15th, 2012, 9:06 am

### Re: Perfect Diagonal Speeds in Life-like CA

A c/66:

Code: Select all

``````x = 4, y = 4, rule = B34e/S23-e
2b2o\$o2bo\$o2bo\$obo!
``````

83bismuth38
Posts: 466
Joined: March 2nd, 2017, 4:23 pm
Location: Still sitting around in Sagittarius A...
Contact:

### Re: Perfect Diagonal Speeds in Life-like CA

Rhombic wrote:Smaller c/10

Code: Select all

``````x = 3, y = 3, rule = B34-air/S234-air
obo\$o\$3o!
``````
did you know about my PlasmaLife thread o.O

Code: Select all

``````x = 8, y = 10, rule = B3/S23
3b2o\$3b2o\$2b3o\$4bobo\$2obobobo\$3bo2bo\$2bobo2bo\$2bo4bo\$2bo4bo\$2bo!
``````
No football of any dui mauris said that.

Posts: 1964
Joined: November 8th, 2014, 8:48 pm
Location: Getting a snacker from R-Bee's

### Re: Perfect Diagonal Speeds in Life-like CA

83bismuth38 wrote:
Rhombic wrote:Smaller c/10

Code: Select all

``````x = 3, y = 3, rule = B34-air/S234-air
obo\$o\$3o!
``````
did you know about my PlasmaLife thread o.O
Yeah, I'm pretty sure that's where it's from.
Also, the preboat phase is the minimal one so that should be used.
LifeWiki: Like Wikipedia but with more spaceships. [citation needed]

Saka
Posts: 3405
Joined: June 19th, 2015, 8:50 pm
Location: In the kingdom of Sultan Hamengkubuwono X
Contact:

### Re: Perfect Diagonal Speeds in Life-like CA

NSWSS
I didnt check if these have been posted.
C/14

Code: Select all

``````x = 4, y = 4, rule = B2k3-j/S2-i3
2bo\$o2bo\$obo\$2o!``````
C/10

Code: Select all

``````x = 3, y = 3, rule = B2k3-e/S2-i3
2bo\$3o\$3o!``````
C/8

Code: Select all

``````x = 4, y = 4, rule = B2-a3i/S1c278
obo\$bobo\$3bo\$bo!``````
C/30

Code: Select all

``````x = 4, y = 4, rule = B38/S234wz
b2o\$o2bo\$3bo\$3o!``````
C/28 (Glide-Symmetric)

Code: Select all

``````x = 6, y = 5, rule = B35in/S236n7c
4b2o\$4b2o\$bo2b2o\$obo\$b2o!``````
C/13

Code: Select all

``````x = 5, y = 9, rule = B35c6-k78/S234-aqrwy
3\$b3o\$3bo\$bobo!``````
C/11

Code: Select all

``````x = 5, y = 5, rule = B2n3-r4ew5cky6n/S023-r
3bo\$bo\$4bo\$o\$2bo!``````
C/18 (Glide symmetric)

Code: Select all

``````x = 3, y = 4, rule = B2in34r/S1e2-e3-a4ijt
bo\$obo\$obo\$b2o!``````
C/42

Code: Select all

``````x = 5, y = 3, rule = B2cei3-i/S235a
2b3o\$o\$2o!
``````
C/19

Code: Select all

``````x = 5, y = 5, rule = B2ein3aeijnq4ceiw5iy6n/S2ae3-a4ctyz5a
2bo\$3b2o\$obo\$bo\$bo!``````

Code: Select all

``````o3b2ob2obo3b2o2b2o\$bo3b2obob3o3bo2bo\$2bo2b3o5b3ob4o\$3o3bo2bo2b3o3b3o\$
4bo4bobo4bo\$2o2b2o2b4obo2bo3bo\$2ob4o3bo2bo2bo2bo\$b2o3bobob2o\$3bobobo5b
obobobo\$3bobobob2o3bo2bobo!
``````
(Check gen 3)
Add your computer to the Table of Lifeenthusiast Computers!

muzik
Posts: 3782
Joined: January 28th, 2016, 2:47 pm
Location: Scotland

### Re: Perfect Diagonal Speeds in Life-like CA

We now have speeds from c/2 to c/25!
Bored of using the Moore neighbourhood for everything? Introducing the Range-2 von Neumann isotropic non-totalistic rulespace!

toroidalet
Posts: 1082
Joined: August 7th, 2016, 1:48 pm
Location: My computer
Contact:

### Re: Perfect Diagonal Speeds in Life-like CA

Better ships:
3-cell c/3

Code: Select all

``````x = 3, y = 3, rule = B2cei3a/S02i3i
2bo2\$obo!``````
3-cell c/4

Code: Select all

``````x = 2, y = 3, rule = B2-a/S12-k
bo\$bo\$o!``````
3-cell c/5

Code: Select all

``````x = 3, y = 3, rule = B2ein3acein4r5i/S02-ck3a
2bo2\$obo!``````
3-cell c/6

Code: Select all

``````x = 2, y = 3, rule = B2-a/S12
bo\$bo\$o!
``````
3-cell c/7

Code: Select all

``````x = 3, y = 3, rule = B2cen3eqry4aeijnrt5eny6-n7e/S012ae3ejknq4eijknqt5ckry6-i7
2bo2\$obo!
``````
3-cell c/8

Code: Select all

``````x = 4, y = 3, rule = B2-an3aijy4-eirz5ikqr6acn8/S05q
3bo\$o\$2bo!``````
3-cell c/9

Code: Select all

``````x = 3, y = 3, rule = B2eik3-jky4aeikryz5-cqry6-cn7e/S02k3e4c
2bo2\$obo!``````
From the 5S diagonal ships file.
"Build a man a fire and he'll be warm for a day. Set a man on fire and he'll be warm for the rest of his life."

-Terry Pratchett